%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG060+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 15:34:02 EDT 2022 % Result : Theorem 17.91s 4.90s % Output : Proof 69.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : ALG060+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n018.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 11:31:37 EDT 2022 % 0.12/0.33 % CPUTime : % 0.55/0.60 ____ _ % 0.55/0.60 ___ / __ \_____(_)___ ________ __________ % 0.55/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.60 % 0.55/0.60 A Theorem Prover for First-Order Logic % 0.55/0.60 (ePrincess v.1.0) % 0.55/0.60 % 0.55/0.60 (c) Philipp Rümmer, 2009-2015 % 0.55/0.60 (c) Peter Backeman, 2014-2015 % 0.55/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.60 Bug reports to peter@backeman.se % 0.55/0.60 % 0.55/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.60 % 0.55/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.77/1.22 Prover 0: Preprocessing ... % 4.64/1.65 Prover 0: Constructing countermodel ... % 17.91/4.90 Prover 0: proved (4224ms) % 17.91/4.90 % 17.91/4.90 No countermodel exists, formula is valid % 17.91/4.90 % SZS status Theorem for theBenchmark % 17.91/4.90 % 17.91/4.90 Generating proof ... found it (size 108071) % 53.41/22.13 % 53.41/22.13 % SZS output start Proof for theBenchmark % 53.41/22.13 Assumed formulas after preprocessing and simplification: % 53.41/22.13 | (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] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v12) & ~ (v20 = v8) & ~ (v20 = v3) & ~ (v20 = e3) & ~ (v20 = e1) & ~ (v19 = v18) & ~ (v19 = v16) & ~ (v19 = v11) & ~ (v19 = v7) & ~ (v19 = v2) & ~ (v19 = e3) & ~ (v19 = e1) & ~ (v18 = v14) & ~ (v18 = v9) & ~ (v18 = v5) & ~ (v18 = v0) & ~ (v18 = e3) & ~ (v18 = e1) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v14) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v3) & ~ (v17 = e2) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v11) & ~ (v16 = v7) & ~ (v16 = v2) & ~ (v16 = e2) & ~ (v15 = v14) & ~ (v15 = v10) & ~ (v15 = v6) & ~ (v15 = v1) & ~ (v15 = e3) & ~ (v15 = e2) & ~ (v14 = v9) & ~ (v14 = v5) & ~ (v14 = v0) & ~ (v14 = e2) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v9) & ~ (v13 = v4) & ~ (v13 = e2) & ~ (v13 = e1) & ~ (v13 = e0) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v3) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v7) & ~ (v11 = v2) & ~ (v10 = v9) & ~ (v10 = v6) & ~ (v10 = v1) & ~ (v10 = e3) & ~ (v9 = v5) & ~ (v9 = v0) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v8 = e0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v6 = e3) & ~ (v6 = e0) & ~ (v5 = v0) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e2) & ~ (v4 = e1) & ~ (v4 = e0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (v1 = e3) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v20, e4) = v58 & op(v20, e3) = v57 & op(v19, e4) = v56 & op(v19, e2) = v55 & op(v18, e4) = v54 & op(v18, e0) = v53 & op(v17, e3) = v52 & op(v16, e3) = v51 & op(v16, e2) = v50 & op(v15, e3) = v49 & op(v15, e1) = v48 & op(v14, e3) = v47 & op(v14, e0) = v46 & op(v13, e4) = v44 & op(v13, e2) = v45 & op(v12, e3) = v42 & op(v12, e2) = v43 & op(v11, e2) = v41 & op(v10, e2) = v40 & op(v10, e1) = v39 & op(v9, e2) = v38 & op(v9, e0) = v37 & op(v8, e3) = v35 & op(v8, e1) = v36 & op(v7, e2) = v33 & op(v7, e1) = v34 & op(v6, e1) = v32 & 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) = e1 & op(e4, e3) = v20 & op(e4, e2) = v19 & op(e4, e1) = e3 & op(e4, e0) = v18 & op(e3, unit) = e3 & op(e3, e4) = e2 & op(e3, e3) = v17 & op(e3, e2) = v16 & op(e3, e1) = v15 & op(e3, e0) = v14 & op(e2, unit) = e2 & op(e2, e4) = v13 & op(e2, e3) = v12 & op(e2, e2) = v11 & op(e2, e1) = v10 & op(e2, e0) = v9 & op(e1, unit) = e1 & op(e1, e4) = e0 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 & 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 & ! [v59] : ! [v60] : ! [v61] : ! [v62] : (v60 = v59 | ~ (op(v62, v61) = v60) | ~ (op(v62, v61) = v59)) & (v20 = e4 | v20 = e2 | v20 = e0) & (v20 = e4 | v19 = e4 | v18 = e4) & (v20 = e4 | v17 = e4 | v12 = e4 | v8 = e4 | v3 = e4) & (v20 = e2 | v19 = e2 | v18 = e2) & (v20 = e2 | v12 = e2 | v8 = e2 | v3 = e2) & (v20 = e0 | v19 = e0 | v18 = e0) & (v20 = e0 | v17 = e0 | v12 = e0 | v3 = e0) & (v19 = e4 | v19 = e2 | v19 = e0) & (v19 = e4 | v16 = e4 | v11 = e4 | v7 = e4 | v2 = e4) & (v19 = e2 | v11 = e2 | v7 = e2 | v2 = e2) & (v19 = e0 | v16 = e0 | v11 = e0 | v2 = e0) & (v18 = e4 | v18 = e2 | v18 = e0) & (v18 = e4 | v14 = e4 | v9 = e4 | v5 = e4 | v0 = e4) & (v18 = e2 | v9 = e2 | v5 = e2 | v0 = e2) & (v18 = e0 | v14 = e0 | v9 = e0 | v0 = e0) & (v17 = e4 | v17 = e3 | v17 = e1 | v17 = e0) & (v17 = e4 | v16 = e4 | v15 = e4 | v14 = e4) & (v17 = e3 | v16 = e3 | v14 = e3) & (v17 = e3 | v12 = e3 | v8 = e3 | v3 = e3) & (v17 = e1 | v16 = e1 | v15 = e1 | v14 = e1) & (v17 = e1 | v12 = e1 | v8 = e1 | v3 = e1) & (v17 = e0 | v16 = e0 | v15 = e0 | v14 = e0) & (v16 = e4 | v16 = e3 | v16 = e1 | v16 = e0) & (v16 = e3 | v11 = e3 | v7 = e3 | v2 = e3) & (v16 = e1 | v11 = e1 | v7 = e1 | v2 = e1) & (v15 = e4 | v15 = e1 | v15 = e0) & (v15 = e4 | v10 = e4 | v6 = e4 | v1 = e4) & (v15 = e4 | (v57 = e4 & ~ (v58 = e3) & ~ (v20 = e2)) | (v55 = e4 & ~ (v56 = e2) & ~ (v19 = v13)) | (v53 = e4 & ~ (v54 = e0) & ~ (v18 = v4)) | (v50 = e3 & ~ (v51 = e2) & ~ (v16 = v12)) | (v48 = e3 & ~ (v49 = e1) & ~ (v15 = v8)) | (v46 = e3 & ~ (v47 = e0) & ~ (v14 = v3)) | (v44 = e2 & ~ (v45 = e4) & ~ (v19 = v13)) | (v42 = e2 & ~ (v43 = e3) & ~ (v16 = v12)) | (v39 = e2 & ~ (v40 = e1) & ~ (v10 = v7)) | (v37 = e2 & ~ (v38 = e0) & ~ (v9 = v2)) | (v35 = e1 & ~ (v36 = e3) & ~ (v15 = v8)) | (v33 = e1 & ~ (v34 = e2) & ~ (v10 = v7)) | (v30 = e1 & ~ (v31 = e0) & ~ (v5 = v1)) | (v28 = e0 & ~ (v29 = e4) & ~ (v18 = v4)) | (v26 = e0 & ~ (v27 = e3) & ~ (v14 = v3)) | (v24 = e0 & ~ (v25 = e2) & ~ (v9 = v2)) | (v22 = e0 & ~ (v23 = e1) & ~ (v5 = v1)) | (v13 = e3 & ~ (v20 = e2) & ~ (v12 = e4))) & (v15 = e1 | v10 = e1 | v6 = e1 | v1 = e1) & (v15 = e0 | v10 = e0 | v1 = e0) & (v14 = e4 | v14 = e3 | v14 = e1 | v14 = e0) & (v14 = e3 | v9 = e3 | v5 = e3 | v0 = e3) & (v14 = e1 | v9 = e1 | v5 = e1 | v0 = e1) & (v13 = e4 | v13 = e3) & (v13 = e4 | v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4) & (v13 = e4 | v4 = e4) & (v13 = e3 | v12 = e3 | v11 = e3 | v9 = e3) & (v13 = e3 | v4 = e3) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e2 | v10 = e1 | v10 = e0) & (v10 = e2 | v6 = e2 | v1 = e2) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = e3 | v8 = e2 | v8 = e1) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4) & (v8 = e3 | v7 = e3 | v5 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1) & (v7 = e4 | v7 = e3 | v7 = e2 | v7 = e1) & (v6 = e4 | v6 = e2 | v6 = e1) & (v6 = e4 | (v17 = e0 & v0 = e3 & ~ (v14 = e3)) | (v17 = e0 & v0 = e3 & ~ (v3 = e0)) | (v11 = e1 & v6 = e2 & ~ (v10 = e2)) | (v11 = e1 & v6 = e2 & ~ (v7 = e1)) | (v11 = e0 & v0 = e2 & ~ (v9 = e2)) | (v11 = e0 & v0 = e2 & ~ (v2 = e0))) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1) & (v4 = e4 | v4 = e3) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v0 = e3) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | 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)) % 53.41/22.20 | 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 yields: % 53.41/22.20 | (1) ~ (all_0_38_38 = all_0_39_39) & ~ (all_0_38_38 = all_0_40_40) & ~ (all_0_38_38 = all_0_41_41) & ~ (all_0_38_38 = all_0_46_46) & ~ (all_0_38_38 = all_0_50_50) & ~ (all_0_38_38 = all_0_55_55) & ~ (all_0_38_38 = e3) & ~ (all_0_38_38 = e1) & ~ (all_0_39_39 = all_0_40_40) & ~ (all_0_39_39 = all_0_42_42) & ~ (all_0_39_39 = all_0_47_47) & ~ (all_0_39_39 = all_0_51_51) & ~ (all_0_39_39 = all_0_56_56) & ~ (all_0_39_39 = e3) & ~ (all_0_39_39 = e1) & ~ (all_0_40_40 = all_0_44_44) & ~ (all_0_40_40 = all_0_49_49) & ~ (all_0_40_40 = all_0_53_53) & ~ (all_0_40_40 = all_0_58_58) & ~ (all_0_40_40 = e3) & ~ (all_0_40_40 = e1) & ~ (all_0_41_41 = all_0_42_42) & ~ (all_0_41_41 = all_0_43_43) & ~ (all_0_41_41 = all_0_44_44) & ~ (all_0_41_41 = all_0_46_46) & ~ (all_0_41_41 = all_0_50_50) & ~ (all_0_41_41 = all_0_55_55) & ~ (all_0_41_41 = e2) & ~ (all_0_42_42 = all_0_43_43) & ~ (all_0_42_42 = all_0_44_44) & ~ (all_0_42_42 = all_0_47_47) & ~ (all_0_42_42 = all_0_51_51) & ~ (all_0_42_42 = all_0_56_56) & ~ (all_0_42_42 = e2) & ~ (all_0_43_43 = all_0_44_44) & ~ (all_0_43_43 = all_0_48_48) & ~ (all_0_43_43 = all_0_52_52) & ~ (all_0_43_43 = all_0_57_57) & ~ (all_0_43_43 = e3) & ~ (all_0_43_43 = e2) & ~ (all_0_44_44 = all_0_49_49) & ~ (all_0_44_44 = all_0_53_53) & ~ (all_0_44_44 = all_0_58_58) & ~ (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_49_49) & ~ (all_0_45_45 = all_0_54_54) & ~ (all_0_45_45 = e2) & ~ (all_0_45_45 = e1) & ~ (all_0_45_45 = e0) & ~ (all_0_46_46 = all_0_47_47) & ~ (all_0_46_46 = all_0_48_48) & ~ (all_0_46_46 = all_0_49_49) & ~ (all_0_46_46 = all_0_50_50) & ~ (all_0_46_46 = all_0_55_55) & ~ (all_0_47_47 = all_0_48_48) & ~ (all_0_47_47 = all_0_49_49) & ~ (all_0_47_47 = all_0_51_51) & ~ (all_0_47_47 = all_0_56_56) & ~ (all_0_48_48 = all_0_49_49) & ~ (all_0_48_48 = all_0_52_52) & ~ (all_0_48_48 = all_0_57_57) & ~ (all_0_48_48 = e3) & ~ (all_0_49_49 = all_0_53_53) & ~ (all_0_49_49 = all_0_58_58) & ~ (all_0_50_50 = all_0_51_51) & ~ (all_0_50_50 = all_0_52_52) & ~ (all_0_50_50 = all_0_53_53) & ~ (all_0_50_50 = all_0_55_55) & ~ (all_0_50_50 = e0) & ~ (all_0_51_51 = all_0_52_52) & ~ (all_0_51_51 = all_0_53_53) & ~ (all_0_51_51 = all_0_56_56) & ~ (all_0_51_51 = e0) & ~ (all_0_52_52 = all_0_53_53) & ~ (all_0_52_52 = all_0_57_57) & ~ (all_0_52_52 = e3) & ~ (all_0_52_52 = e0) & ~ (all_0_53_53 = all_0_58_58) & ~ (all_0_53_53 = e0) & ~ (all_0_54_54 = all_0_55_55) & ~ (all_0_54_54 = all_0_56_56) & ~ (all_0_54_54 = all_0_57_57) & ~ (all_0_54_54 = all_0_58_58) & ~ (all_0_54_54 = e2) & ~ (all_0_54_54 = e1) & ~ (all_0_54_54 = e0) & ~ (all_0_55_55 = all_0_56_56) & ~ (all_0_55_55 = all_0_57_57) & ~ (all_0_55_55 = all_0_58_58) & ~ (all_0_56_56 = all_0_57_57) & ~ (all_0_56_56 = all_0_58_58) & ~ (all_0_57_57 = all_0_58_58) & ~ (all_0_57_57 = e3) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_38_38, e4) = all_0_0_0 & op(all_0_38_38, e3) = all_0_1_1 & op(all_0_39_39, e4) = all_0_2_2 & op(all_0_39_39, e2) = all_0_3_3 & op(all_0_40_40, e4) = all_0_4_4 & op(all_0_40_40, e0) = all_0_5_5 & op(all_0_41_41, e3) = all_0_6_6 & op(all_0_42_42, e3) = all_0_7_7 & op(all_0_42_42, e2) = all_0_8_8 & op(all_0_43_43, e3) = all_0_9_9 & op(all_0_43_43, e1) = all_0_10_10 & op(all_0_44_44, e3) = all_0_11_11 & op(all_0_44_44, e0) = all_0_12_12 & op(all_0_45_45, e4) = all_0_14_14 & op(all_0_45_45, e2) = all_0_13_13 & op(all_0_46_46, e3) = all_0_16_16 & op(all_0_46_46, e2) = all_0_15_15 & op(all_0_47_47, e2) = all_0_17_17 & op(all_0_48_48, e2) = all_0_18_18 & op(all_0_48_48, e1) = all_0_19_19 & op(all_0_49_49, e2) = all_0_20_20 & op(all_0_49_49, e0) = all_0_21_21 & op(all_0_50_50, e3) = all_0_23_23 & op(all_0_50_50, e1) = all_0_22_22 & op(all_0_51_51, e2) = all_0_25_25 & op(all_0_51_51, e1) = all_0_24_24 & op(all_0_52_52, e1) = all_0_26_26 & op(all_0_53_53, e1) = all_0_27_27 & op(all_0_53_53, e0) = all_0_28_28 & op(all_0_54_54, e4) = all_0_30_30 & op(all_0_54_54, e0) = all_0_29_29 & op(all_0_55_55, e3) = all_0_32_32 & op(all_0_55_55, e0) = all_0_31_31 & op(all_0_56_56, e2) = all_0_34_34 & op(all_0_56_56, e0) = all_0_33_33 & op(all_0_57_57, e1) = all_0_36_36 & op(all_0_57_57, e0) = all_0_35_35 & op(all_0_58_58, e0) = all_0_37_37 & 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) = e1 & op(e4, e3) = all_0_38_38 & op(e4, e2) = all_0_39_39 & op(e4, e1) = e3 & op(e4, e0) = all_0_40_40 & op(e3, unit) = e3 & op(e3, e4) = e2 & op(e3, e3) = all_0_41_41 & op(e3, e2) = all_0_42_42 & op(e3, e1) = all_0_43_43 & op(e3, e0) = all_0_44_44 & op(e2, unit) = e2 & op(e2, e4) = all_0_45_45 & op(e2, e3) = all_0_46_46 & op(e2, e2) = all_0_47_47 & op(e2, e1) = all_0_48_48 & op(e2, e0) = all_0_49_49 & op(e1, unit) = e1 & op(e1, e4) = e0 & op(e1, e3) = all_0_50_50 & op(e1, e2) = all_0_51_51 & op(e1, e1) = all_0_52_52 & op(e1, e0) = all_0_53_53 & op(e0, unit) = e0 & op(e0, e4) = all_0_54_54 & op(e0, e3) = all_0_55_55 & op(e0, e2) = all_0_56_56 & op(e0, e1) = all_0_57_57 & op(e0, e0) = all_0_58_58 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & (all_0_38_38 = e4 | all_0_38_38 = e2 | all_0_38_38 = e0) & (all_0_38_38 = e4 | all_0_39_39 = e4 | all_0_40_40 = e4) & (all_0_38_38 = e4 | all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4) & (all_0_38_38 = e2 | all_0_39_39 = e2 | all_0_40_40 = e2) & (all_0_38_38 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2) & (all_0_38_38 = e0 | all_0_39_39 = e0 | all_0_40_40 = e0) & (all_0_38_38 = e0 | all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0) & (all_0_39_39 = e4 | all_0_39_39 = e2 | all_0_39_39 = e0) & (all_0_39_39 = e4 | all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4) & (all_0_39_39 = e2 | all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2) & (all_0_39_39 = e0 | all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0) & (all_0_40_40 = e4 | all_0_40_40 = e2 | all_0_40_40 = e0) & (all_0_40_40 = e4 | all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4) & (all_0_40_40 = e2 | all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2) & (all_0_40_40 = e0 | all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0) & (all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0) & (all_0_41_41 = e4 | all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4) & (all_0_41_41 = e3 | all_0_42_42 = e3 | all_0_44_44 = e3) & (all_0_41_41 = e3 | all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3) & (all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1) & (all_0_41_41 = e1 | all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1) & (all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0) & (all_0_42_42 = e4 | 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_51_51 = e3 | all_0_56_56 = e3) & (all_0_42_42 = e1 | all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1) & (all_0_43_43 = e4 | 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_57_57 = e4) & (all_0_43_43 = e4 | (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_45_45 = e3 & ~ (all_0_38_38 = e2) & ~ (all_0_46_46 = e4))) & (all_0_43_43 = e1 | all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1) & (all_0_43_43 = e0 | all_0_48_48 = e0 | all_0_57_57 = 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 = e3 | all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3) & (all_0_44_44 = e1 | all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1) & (all_0_45_45 = e4 | all_0_45_45 = e3) & (all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_47_47 = e4 | all_0_48_48 = e4 | all_0_49_49 = e4) & (all_0_45_45 = e4 | all_0_54_54 = e4) & (all_0_45_45 = e3 | all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3) & (all_0_45_45 = e3 | all_0_54_54 = e3) & (all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e2 | all_0_46_46 = e1 | all_0_46_46 = e0) & (all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2) & (all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1) & (all_0_46_46 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0) & (all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0) & (all_0_48_48 = e4 | 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_57_57 = e2) & (all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e2 | all_0_49_49 = e1 | all_0_49_49 = e0) & (all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e2 | all_0_50_50 = e1) & (all_0_50_50 = e4 | all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4) & (all_0_50_50 = e3 | all_0_51_51 = e3 | all_0_53_53 = e3) & (all_0_50_50 = e2 | all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2) & (all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1) & (all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e2 | all_0_51_51 = e1) & (all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e1) & (all_0_52_52 = e4 | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0))) & (all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e2 | all_0_53_53 = e1) & (all_0_54_54 = e4 | all_0_54_54 = e3) & (all_0_54_54 = e4 | all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4) & (all_0_54_54 = e3 | all_0_55_55 = e3 | all_0_56_56 = e3 | all_0_58_58 = e3) & (all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 | all_0_55_55 = e0) & (all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2) & (all_0_55_55 = e1 | all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1) & (all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0) & (all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0) & (all_0_57_57 = e4 | all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0) & (all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e2 | all_0_58_58 = e1 | all_0_58_58 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) % 53.41/22.21 | % 53.41/22.21 | Applying alpha-rule on (1) yields: % 53.41/22.21 | (2) ~ (all_0_40_40 = e3) % 53.41/22.21 | (3) ~ (all_0_55_55 = all_0_58_58) % 53.41/22.21 | (4) all_0_43_43 = e0 | all_0_48_48 = e0 | all_0_57_57 = e0 % 53.41/22.21 | (5) op(all_0_45_45, e4) = all_0_14_14 % 53.41/22.22 | (6) ~ (all_0_51_51 = all_0_53_53) % 53.83/22.22 | (7) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e2 | all_0_51_51 = e1 % 53.83/22.22 | (8) op(all_0_50_50, e3) = all_0_23_23 % 53.83/22.22 | (9) ~ (all_0_44_44 = all_0_49_49) % 53.83/22.22 | (10) ~ (all_0_53_53 = all_0_58_58) % 53.83/22.22 | (11) ~ (all_0_52_52 = all_0_57_57) % 53.83/22.22 | (12) all_0_57_57 = e4 | all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0 % 53.83/22.22 | (13) op(all_0_47_47, e2) = all_0_17_17 % 53.83/22.22 | (14) op(e4, e2) = all_0_39_39 % 53.83/22.22 | (15) op(unit, e2) = e2 % 53.83/22.22 | (16) ~ (all_0_51_51 = all_0_56_56) % 53.83/22.22 | (17) ~ (all_0_43_43 = all_0_48_48) % 53.83/22.22 | (18) all_0_41_41 = e1 | all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 53.83/22.22 | (19) ~ (all_0_46_46 = all_0_47_47) % 53.83/22.22 | (20) ~ (all_0_51_51 = all_0_52_52) % 53.83/22.22 | (21) op(all_0_48_48, e1) = all_0_19_19 % 53.83/22.22 | (22) all_0_54_54 = e3 | all_0_55_55 = e3 | all_0_56_56 = e3 | all_0_58_58 = e3 % 53.83/22.22 | (23) op(e2, e2) = all_0_47_47 % 53.83/22.22 | (24) op(unit, e3) = e3 % 53.83/22.22 | (25) ~ (all_0_38_38 = all_0_55_55) % 53.83/22.22 | (26) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 53.83/22.22 | (27) all_0_41_41 = e4 | all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 53.83/22.22 | (28) op(e1, unit) = e1 % 53.83/22.22 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 53.83/22.22 | (30) ~ (all_0_46_46 = all_0_48_48) % 53.83/22.22 | (31) ~ (all_0_41_41 = all_0_43_43) % 53.83/22.22 | (32) op(e2, unit) = e2 % 53.83/22.22 | (33) op(all_0_46_46, e3) = all_0_16_16 % 53.83/22.22 | (34) op(all_0_40_40, e4) = all_0_4_4 % 53.83/22.22 | (35) ~ (all_0_46_46 = all_0_50_50) % 53.83/22.22 | (36) op(e4, e1) = e3 % 53.83/22.22 | (37) op(e3, e1) = all_0_43_43 % 53.83/22.22 | (38) op(all_0_39_39, e2) = all_0_3_3 % 53.83/22.22 | (39) all_0_39_39 = e4 | all_0_39_39 = e2 | all_0_39_39 = e0 % 53.83/22.22 | (40) op(e3, unit) = e3 % 53.83/22.22 | (41) op(e4, e4) = e1 % 53.83/22.22 | (42) op(e0, unit) = e0 % 53.83/22.22 | (43) ~ (all_0_41_41 = all_0_46_46) % 53.83/22.22 | (44) ~ (all_0_56_56 = all_0_58_58) % 53.83/22.22 | (45) op(all_0_57_57, e1) = all_0_36_36 % 53.83/22.22 | (46) ~ (all_0_52_52 = all_0_53_53) % 53.83/22.22 | (47) all_0_39_39 = e2 | all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 53.83/22.22 | (48) ~ (e4 = e2) % 53.83/22.22 | (49) ~ (e4 = e0) % 53.83/22.22 | (50) ~ (all_0_38_38 = e1) % 53.83/22.22 | (51) ~ (all_0_42_42 = e2) % 53.83/22.22 | (52) op(e4, e3) = all_0_38_38 % 53.83/22.22 | (53) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 % 53.83/22.22 | (54) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e2 | all_0_49_49 = e1 | all_0_49_49 = e0 % 53.83/22.22 | (55) op(e2, e0) = all_0_49_49 % 53.83/22.22 | (56) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 53.83/22.22 | (57) op(all_0_50_50, e1) = all_0_22_22 % 53.83/22.22 | (58) ~ (all_0_46_46 = all_0_55_55) % 53.83/22.22 | (59) ~ (all_0_50_50 = all_0_51_51) % 53.83/22.22 | (60) ~ (all_0_45_45 = e2) % 53.83/22.22 | (61) ~ (all_0_42_42 = all_0_51_51) % 53.83/22.22 | (62) all_0_38_38 = e4 | all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 53.83/22.22 | (63) ~ (all_0_38_38 = all_0_39_39) % 53.83/22.22 | (64) all_0_41_41 = e4 | all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 53.83/22.22 | (65) ~ (all_0_49_49 = all_0_53_53) % 53.83/22.22 | (66) op(all_0_49_49, e0) = all_0_21_21 % 53.83/22.22 | (67) ~ (all_0_57_57 = e3) % 53.83/22.22 | (68) op(all_0_55_55, e0) = all_0_31_31 % 53.83/22.22 | (69) op(e1, e4) = e0 % 53.83/22.22 | (70) op(all_0_44_44, e0) = all_0_12_12 % 53.83/22.22 | (71) op(all_0_38_38, e4) = all_0_0_0 % 53.83/22.22 | (72) ~ (all_0_52_52 = e0) % 53.83/22.22 | (73) ~ (all_0_42_42 = all_0_44_44) % 53.83/22.22 | (74) op(e0, e3) = all_0_55_55 % 53.83/22.22 | (75) all_0_40_40 = e0 | all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 53.83/22.22 | (76) ~ (all_0_45_45 = all_0_47_47) % 53.83/22.22 | (77) ~ (all_0_45_45 = all_0_48_48) % 53.83/22.23 | (78) all_0_45_45 = e3 | all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 53.83/22.23 | (79) ~ (all_0_39_39 = all_0_47_47) % 53.83/22.23 | (80) ~ (e3 = e0) % 53.83/22.23 | (81) ~ (all_0_55_55 = all_0_57_57) % 53.83/22.23 | (82) op(e3, e4) = e2 % 53.83/22.23 | (83) op(e0, e1) = all_0_57_57 % 53.83/22.23 | (84) op(e1, e0) = all_0_53_53 % 53.83/22.23 | (85) ~ (all_0_41_41 = e2) % 53.83/22.23 | (86) ~ (all_0_47_47 = all_0_49_49) % 53.83/22.23 | (87) op(all_0_56_56, e2) = all_0_34_34 % 53.83/22.23 | (88) op(all_0_43_43, e3) = all_0_9_9 % 53.83/22.23 | (89) ~ (all_0_54_54 = all_0_57_57) % 53.83/22.23 | (90) ~ (all_0_54_54 = e0) % 53.83/22.23 | (91) ~ (all_0_47_47 = all_0_56_56) % 53.83/22.23 | (92) op(all_0_53_53, e1) = all_0_27_27 % 53.83/22.23 | (93) ~ (all_0_50_50 = all_0_55_55) % 53.83/22.23 | (94) all_0_45_45 = e3 | all_0_54_54 = e3 % 53.83/22.23 | (95) all_0_50_50 = e2 | all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 53.83/22.23 | (96) ~ (all_0_43_43 = e2) % 53.83/22.23 | (97) ~ (all_0_38_38 = all_0_40_40) % 53.83/22.23 | (98) op(all_0_43_43, e1) = all_0_10_10 % 53.83/22.23 | (99) ~ (all_0_43_43 = e3) % 53.83/22.23 | (100) op(all_0_54_54, e0) = all_0_29_29 % 53.83/22.23 | (101) ~ (all_0_50_50 = all_0_52_52) % 53.83/22.23 | (102) ~ (all_0_45_45 = e0) % 53.83/22.23 | (103) all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 53.83/22.23 | (104) all_0_39_39 = e0 | all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 53.83/22.23 | (105) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0 % 53.83/22.23 | (106) ~ (all_0_38_38 = all_0_41_41) % 53.83/22.23 | (107) op(all_0_41_41, e3) = all_0_6_6 % 53.83/22.23 | (108) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e2 | all_0_58_58 = e1 | all_0_58_58 = e0 % 53.83/22.23 | (109) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e1 % 53.83/22.23 | (110) ~ (e4 = e1) % 53.83/22.23 | (111) op(e0, e2) = all_0_56_56 % 53.83/22.23 | (112) all_0_44_44 = e1 | all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 53.83/22.23 | (113) all_0_41_41 = e3 | all_0_42_42 = e3 | all_0_44_44 = e3 % 53.83/22.23 | (114) ~ (all_0_47_47 = all_0_48_48) % 53.83/22.23 | (115) ~ (all_0_51_51 = e0) % 53.83/22.23 | (116) ~ (all_0_38_38 = e3) % 53.83/22.23 | (117) all_0_38_38 = e2 | all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 53.83/22.23 | (118) all_0_45_45 = e4 | all_0_54_54 = e4 % 53.83/22.23 | (119) ~ (all_0_49_49 = all_0_58_58) % 53.83/22.23 | (120) op(e2, e3) = all_0_46_46 % 53.83/22.23 | (121) ~ (all_0_50_50 = e0) % 53.83/22.23 | (122) ~ (e2 = e1) % 53.83/22.23 | (123) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e2 | all_0_46_46 = e1 | all_0_46_46 = e0 % 53.83/22.23 | (124) op(e1, e1) = all_0_52_52 % 53.83/22.23 | (125) all_0_55_55 = e0 | all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 53.83/22.23 | (126) op(all_0_54_54, e4) = all_0_30_30 % 53.83/22.23 | (127) op(all_0_56_56, e0) = all_0_33_33 % 53.83/22.23 | (128) ~ (e2 = e0) % 53.83/22.23 | (129) op(all_0_49_49, e2) = all_0_20_20 % 53.83/22.23 | (130) all_0_43_43 = e1 | all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 53.83/22.23 | (131) all_0_42_42 = e1 | all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 53.83/22.23 | (132) ~ (all_0_40_40 = e1) % 53.83/22.23 | (133) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e2 | all_0_56_56 = e1 | all_0_56_56 = e0 % 53.83/22.23 | (134) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_57_57 = e2 % 53.83/22.23 | (135) all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 53.83/22.23 | (136) op(e0, e4) = all_0_54_54 % 53.83/22.23 | (137) op(all_0_52_52, e1) = all_0_26_26 % 53.83/22.23 | (138) op(e3, e0) = all_0_44_44 % 53.83/22.24 | (139) ~ (all_0_39_39 = all_0_51_51) % 53.83/22.24 | (140) ~ (all_0_56_56 = all_0_57_57) % 53.83/22.24 | (141) ~ (all_0_38_38 = all_0_46_46) % 53.83/22.24 | (142) op(all_0_45_45, e2) = all_0_13_13 % 53.83/22.24 | (143) ~ (all_0_40_40 = all_0_44_44) % 53.83/22.24 | (144) all_0_41_41 = e3 | all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 53.83/22.24 | (145) ~ (all_0_39_39 = all_0_42_42) % 53.83/22.24 | (146) op(all_0_57_57, e0) = all_0_35_35 % 53.83/22.24 | (147) ~ (all_0_44_44 = e2) % 53.83/22.24 | (148) ~ (all_0_57_57 = all_0_58_58) % 53.83/22.24 | (149) ~ (all_0_41_41 = all_0_44_44) % 53.83/22.24 | (150) all_0_40_40 = e4 | all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 53.83/22.24 | (151) ~ (all_0_39_39 = e1) % 53.83/22.24 | (152) all_0_42_42 = e4 | all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 53.83/22.24 | (153) ~ (all_0_55_55 = all_0_56_56) % 53.83/22.24 | (154) ~ (all_0_39_39 = all_0_56_56) % 53.83/22.24 | (155) all_0_38_38 = e0 | all_0_39_39 = e0 | all_0_40_40 = e0 % 53.83/22.24 | (156) op(all_0_38_38, e3) = all_0_1_1 % 53.83/22.24 | (157) op(all_0_51_51, e1) = all_0_24_24 % 53.83/22.24 | (158) all_0_40_40 = e2 | all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 53.83/22.24 | (159) ~ (all_0_43_43 = all_0_44_44) % 53.83/22.24 | (160) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 53.83/22.24 | (161) all_0_38_38 = e4 | all_0_38_38 = e2 | all_0_38_38 = e0 % 53.83/22.24 | (162) ~ (all_0_40_40 = all_0_53_53) % 53.83/22.24 | (163) all_0_52_52 = e4 | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 53.83/22.24 | (164) all_0_39_39 = e4 | all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 53.83/22.24 | (165) all_0_41_41 = e0 | all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 53.83/22.24 | (166) ~ (all_0_52_52 = e3) % 53.83/22.24 | (167) ~ (all_0_54_54 = all_0_56_56) % 53.83/22.24 | (168) all_0_50_50 = e3 | all_0_51_51 = e3 | all_0_53_53 = e3 % 53.83/22.24 | (169) op(all_0_48_48, e2) = all_0_18_18 % 53.83/22.24 | (170) all_0_38_38 = e4 | all_0_39_39 = e4 | all_0_40_40 = e4 % 53.83/22.24 | (171) all_0_54_54 = e4 | all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 53.83/22.24 | (172) ~ (all_0_45_45 = e1) % 53.83/22.24 | (173) all_0_45_45 = e4 | all_0_45_45 = e3 % 53.83/22.24 | (174) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 | all_0_55_55 = e0 % 53.83/22.24 | (175) op(all_0_53_53, e0) = all_0_28_28 % 53.83/22.24 | (176) ~ (all_0_39_39 = all_0_40_40) % 53.83/22.24 | (177) op(all_0_51_51, e2) = all_0_25_25 % 53.83/22.24 | (178) ~ (all_0_40_40 = all_0_58_58) % 53.83/22.24 | (179) op(all_0_46_46, e2) = all_0_15_15 % 53.83/22.24 | (180) all_0_42_42 = e3 | all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 53.83/22.24 | (181) ~ (all_0_44_44 = all_0_58_58) % 53.83/22.24 | (182) op(all_0_39_39, e4) = all_0_2_2 % 53.83/22.24 | (183) ~ (all_0_54_54 = all_0_55_55) % 53.83/22.24 | (184) all_0_46_46 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 53.83/22.24 | (185) ~ (all_0_48_48 = all_0_49_49) % 53.83/22.24 | (186) op(e1, e2) = all_0_51_51 % 53.83/22.24 | (187) op(all_0_55_55, e3) = all_0_32_32 % 53.83/22.24 | (188) ~ (e4 = e3) % 53.83/22.25 | (189) all_0_44_44 = e3 | all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 53.83/22.25 | (190) ~ (all_0_50_50 = all_0_53_53) % 53.83/22.25 | (191) ~ (all_0_41_41 = all_0_55_55) % 53.83/22.25 | (192) op(e2, e1) = all_0_48_48 % 53.83/22.25 | (193) ~ (all_0_38_38 = all_0_50_50) % 53.83/22.25 | (194) ~ (all_0_54_54 = all_0_58_58) % 53.83/22.25 | (195) all_0_43_43 = e4 | all_0_43_43 = e1 | all_0_43_43 = e0 % 53.83/22.25 | (196) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e2 | all_0_53_53 = e1 % 53.83/22.25 | (197) ~ (all_0_54_54 = e1) % 53.83/22.25 | (198) ~ (all_0_42_42 = all_0_47_47) % 53.83/22.25 | (199) ~ (all_0_43_43 = all_0_57_57) % 53.83/22.25 | (200) ~ (all_0_40_40 = all_0_49_49) % 53.83/22.25 | (201) op(e2, e4) = all_0_45_45 % 53.83/22.25 | (202) ~ (all_0_48_48 = all_0_52_52) % 53.83/22.25 | (203) op(all_0_40_40, e0) = all_0_5_5 % 53.83/22.25 | (204) op(all_0_44_44, e3) = all_0_11_11 % 53.83/22.25 | (205) ~ (all_0_54_54 = e2) % 53.83/22.25 | (206) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_47_47 = e4 | all_0_48_48 = e4 | all_0_49_49 = e4 % 53.83/22.25 | (207) ~ (all_0_45_45 = all_0_54_54) % 53.83/22.25 | (208) ~ (all_0_46_46 = all_0_49_49) % 53.83/22.25 | (209) op(unit, e0) = e0 % 53.83/22.25 | (210) op(e3, e2) = all_0_42_42 % 53.83/22.25 | (211) op(unit, e1) = e1 % 53.83/22.25 | (212) ~ (e3 = e2) % 53.83/22.25 | (213) ~ (e3 = e1) % 53.83/22.25 | (214) ~ (all_0_41_41 = all_0_42_42) % 53.83/22.25 | (215) ~ (all_0_48_48 = e3) % 53.83/22.25 | (216) all_0_55_55 = e1 | all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 53.83/22.25 | (217) ~ (all_0_43_43 = all_0_52_52) % 53.83/22.25 | (218) op(all_0_58_58, e0) = all_0_37_37 % 53.83/22.25 | (219) op(e3, e3) = all_0_41_41 % 53.83/22.25 | (220) ~ (all_0_44_44 = all_0_53_53) % 53.83/22.25 | (221) ~ (all_0_41_41 = all_0_50_50) % 53.83/22.25 | (222) all_0_55_55 = e2 | all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 53.83/22.25 | (223) all_0_38_38 = e2 | all_0_39_39 = e2 | all_0_40_40 = e2 % 53.83/22.25 | (224) ~ (all_0_47_47 = all_0_51_51) % 53.83/22.25 | (225) op(all_0_42_42, e2) = all_0_8_8 % 53.83/22.25 | (226) op(all_0_42_42, e3) = all_0_7_7 % 53.83/22.25 | (227) op(e4, unit) = e4 % 53.83/22.25 | (228) all_0_48_48 = e4 | all_0_48_48 = e2 | all_0_48_48 = e1 | all_0_48_48 = e0 % 53.83/22.25 | (229) all_0_54_54 = e4 | all_0_54_54 = e3 % 53.83/22.25 | (230) all_0_43_43 = e4 | all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 53.83/22.25 | (231) all_0_50_50 = e4 | all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 53.83/22.25 | (232) all_0_40_40 = e4 | all_0_40_40 = e2 | all_0_40_40 = e0 % 53.83/22.25 | (233) ~ (e1 = e0) % 53.83/22.25 | (234) op(e4, e0) = all_0_40_40 % 53.83/22.25 | (235) ~ (all_0_45_45 = all_0_46_46) % 53.83/22.25 | (236) ~ (all_0_42_42 = all_0_56_56) % 53.83/22.25 | (237) ~ (all_0_45_45 = all_0_49_49) % 53.83/22.26 | (238) all_0_43_43 = e4 | (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_45_45 = e3 & ~ (all_0_38_38 = e2) & ~ (all_0_46_46 = e4)) % 53.83/22.26 | (239) ~ (all_0_48_48 = all_0_57_57) % 53.83/22.26 | (240) ~ (all_0_42_42 = all_0_43_43) % 53.83/22.26 | (241) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e2 | all_0_50_50 = e1 % 53.83/22.26 | (242) op(e1, e3) = all_0_50_50 % 53.83/22.26 | (243) all_0_38_38 = e0 | all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 53.83/22.26 | (244) op(unit, e4) = e4 % 53.83/22.26 | (245) op(e0, e0) = all_0_58_58 % 53.83/22.26 | (246) ~ (all_0_39_39 = e3) % 53.83/22.26 | (247) ~ (all_0_53_53 = e0) % 53.83/22.26 | % 53.83/22.26 +-Applying beta-rule and splitting (173), into two cases. % 53.83/22.26 |-Branch one: % 53.83/22.26 | (248) all_0_45_45 = e4 % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 235 to: % 53.83/22.26 | (249) ~ (all_0_46_46 = e4) % 53.83/22.26 | % 53.83/22.26 | Simplifying 249 yields: % 53.83/22.26 | (250) ~ (all_0_46_46 = e4) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 76 to: % 53.83/22.26 | (251) ~ (all_0_47_47 = e4) % 53.83/22.26 | % 53.83/22.26 | Simplifying 251 yields: % 53.83/22.26 | (252) ~ (all_0_47_47 = e4) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 77 to: % 53.83/22.26 | (253) ~ (all_0_48_48 = e4) % 53.83/22.26 | % 53.83/22.26 | Simplifying 253 yields: % 53.83/22.26 | (254) ~ (all_0_48_48 = e4) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 237 to: % 53.83/22.26 | (255) ~ (all_0_49_49 = e4) % 53.83/22.26 | % 53.83/22.26 | Simplifying 255 yields: % 53.83/22.26 | (256) ~ (all_0_49_49 = e4) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 207 to: % 53.83/22.26 | (257) ~ (all_0_54_54 = e4) % 53.83/22.26 | % 53.83/22.26 | Simplifying 257 yields: % 53.83/22.26 | (258) ~ (all_0_54_54 = e4) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 60 to: % 53.83/22.26 | (48) ~ (e4 = e2) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 172 to: % 53.83/22.26 | (110) ~ (e4 = e1) % 53.83/22.26 | % 53.83/22.26 | Equations (248) can reduce 102 to: % 53.83/22.26 | (49) ~ (e4 = e0) % 53.83/22.26 | % 53.83/22.26 | From (248) and (5) follows: % 53.83/22.27 | (262) op(e4, e4) = all_0_14_14 % 53.83/22.27 | % 53.83/22.27 | From (248) and (142) follows: % 53.83/22.27 | (263) op(e4, e2) = all_0_13_13 % 53.83/22.27 | % 53.83/22.27 | From (248) and (201) follows: % 53.83/22.27 | (264) op(e2, e4) = e4 % 53.83/22.27 | % 53.83/22.27 +-Applying beta-rule and splitting (229), into two cases. % 53.83/22.27 |-Branch one: % 53.83/22.27 | (265) all_0_54_54 = e4 % 53.83/22.27 | % 53.83/22.27 | Equations (265) can reduce 258 to: % 53.83/22.27 | (266) $false % 53.83/22.27 | % 53.83/22.27 |-The branch is then unsatisfiable % 53.83/22.27 |-Branch two: % 53.83/22.27 | (258) ~ (all_0_54_54 = e4) % 53.83/22.27 | (268) all_0_54_54 = e3 % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 183 to: % 53.83/22.27 | (269) ~ (all_0_55_55 = e3) % 53.83/22.27 | % 53.83/22.27 | Simplifying 269 yields: % 53.83/22.27 | (270) ~ (all_0_55_55 = e3) % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 167 to: % 53.83/22.27 | (271) ~ (all_0_56_56 = e3) % 53.83/22.27 | % 53.83/22.27 | Simplifying 271 yields: % 53.83/22.27 | (272) ~ (all_0_56_56 = e3) % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 89 to: % 53.83/22.27 | (273) ~ (all_0_57_57 = e3) % 53.83/22.27 | % 53.83/22.27 | Simplifying 273 yields: % 53.83/22.27 | (67) ~ (all_0_57_57 = e3) % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 194 to: % 53.83/22.27 | (275) ~ (all_0_58_58 = e3) % 53.83/22.27 | % 53.83/22.27 | Simplifying 275 yields: % 53.83/22.27 | (276) ~ (all_0_58_58 = e3) % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 258 to: % 53.83/22.27 | (277) ~ (e4 = e3) % 53.83/22.27 | % 53.83/22.27 | Simplifying 277 yields: % 53.83/22.27 | (188) ~ (e4 = e3) % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 197 to: % 53.83/22.27 | (213) ~ (e3 = e1) % 53.83/22.27 | % 53.83/22.27 | Equations (268) can reduce 90 to: % 53.83/22.27 | (80) ~ (e3 = e0) % 53.83/22.27 | % 53.83/22.27 | From (268) and (126) follows: % 53.83/22.27 | (281) op(e3, e4) = all_0_30_30 % 53.83/22.27 | % 53.83/22.27 | From (268) and (100) follows: % 53.83/22.27 | (282) op(e3, e0) = all_0_29_29 % 53.83/22.27 | % 53.83/22.27 | From (268) and (136) follows: % 53.83/22.27 | (283) op(e0, e4) = e3 % 53.83/22.27 | % 53.83/22.27 | Instantiating formula (29) with e4, e4, all_0_14_14, e1 and discharging atoms op(e4, e4) = all_0_14_14, op(e4, e4) = e1, yields: % 53.83/22.27 | (284) all_0_14_14 = e1 % 53.83/22.27 | % 53.83/22.27 | Instantiating formula (29) with e4, e2, all_0_13_13, all_0_39_39 and discharging atoms op(e4, e2) = all_0_13_13, op(e4, e2) = all_0_39_39, yields: % 53.83/22.28 | (285) all_0_13_13 = all_0_39_39 % 53.83/22.28 | % 53.83/22.28 | Instantiating formula (29) with e3, e4, all_0_30_30, e2 and discharging atoms op(e3, e4) = all_0_30_30, op(e3, e4) = e2, yields: % 53.83/22.28 | (286) all_0_30_30 = e2 % 53.83/22.28 | % 53.83/22.28 | Instantiating formula (29) with e3, e0, all_0_29_29, all_0_44_44 and discharging atoms op(e3, e0) = all_0_29_29, op(e3, e0) = all_0_44_44, yields: % 53.83/22.28 | (287) all_0_29_29 = all_0_44_44 % 53.83/22.28 | % 53.83/22.28 | From (284) and (262) follows: % 53.83/22.28 | (41) op(e4, e4) = e1 % 53.83/22.28 | % 53.83/22.28 | From (285) and (263) follows: % 53.83/22.28 | (14) op(e4, e2) = all_0_39_39 % 53.83/22.28 | % 53.83/22.28 | From (286) and (281) follows: % 53.83/22.28 | (82) op(e3, e4) = e2 % 53.83/22.28 | % 53.83/22.28 | From (287) and (282) follows: % 53.83/22.28 | (138) op(e3, e0) = all_0_44_44 % 53.83/22.28 | % 53.83/22.28 +-Applying beta-rule and splitting (223), into two cases. % 53.83/22.28 |-Branch one: % 53.83/22.28 | (292) all_0_38_38 = e2 % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 63 to: % 53.83/22.28 | (293) ~ (all_0_39_39 = e2) % 53.83/22.28 | % 53.83/22.28 | Simplifying 293 yields: % 53.83/22.28 | (294) ~ (all_0_39_39 = e2) % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 97 to: % 53.83/22.28 | (295) ~ (all_0_40_40 = e2) % 53.83/22.28 | % 53.83/22.28 | Simplifying 295 yields: % 53.83/22.28 | (296) ~ (all_0_40_40 = e2) % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 106 to: % 53.83/22.28 | (297) ~ (all_0_41_41 = e2) % 53.83/22.28 | % 53.83/22.28 | Simplifying 297 yields: % 53.83/22.28 | (85) ~ (all_0_41_41 = e2) % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 141 to: % 53.83/22.28 | (299) ~ (all_0_46_46 = e2) % 53.83/22.28 | % 53.83/22.28 | Simplifying 299 yields: % 53.83/22.28 | (300) ~ (all_0_46_46 = e2) % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 193 to: % 53.83/22.28 | (301) ~ (all_0_50_50 = e2) % 53.83/22.28 | % 53.83/22.28 | Simplifying 301 yields: % 53.83/22.28 | (302) ~ (all_0_50_50 = e2) % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 25 to: % 53.83/22.28 | (303) ~ (all_0_55_55 = e2) % 53.83/22.28 | % 53.83/22.28 | Simplifying 303 yields: % 53.83/22.28 | (304) ~ (all_0_55_55 = e2) % 53.83/22.28 | % 53.83/22.28 | Equations (292) can reduce 50 to: % 53.83/22.28 | (122) ~ (e2 = e1) % 53.83/22.28 | % 53.83/22.28 | From (292) and (71) follows: % 53.83/22.28 | (306) op(e2, e4) = all_0_0_0 % 53.83/22.28 | % 53.83/22.28 | From (292) and (156) follows: % 53.83/22.28 | (307) op(e2, e3) = all_0_1_1 % 53.83/22.28 | % 53.83/22.28 | From (292) and (52) follows: % 53.83/22.28 | (308) op(e4, e3) = e2 % 53.83/22.28 | % 53.83/22.28 | Instantiating formula (29) with e2, e4, all_0_0_0, e4 and discharging atoms op(e2, e4) = all_0_0_0, op(e2, e4) = e4, yields: % 53.83/22.28 | (309) all_0_0_0 = e4 % 53.83/22.28 | % 53.83/22.28 | Instantiating formula (29) with e2, e3, all_0_1_1, all_0_46_46 and discharging atoms op(e2, e3) = all_0_1_1, op(e2, e3) = all_0_46_46, yields: % 53.83/22.29 | (310) all_0_1_1 = all_0_46_46 % 53.83/22.29 | % 53.83/22.29 | From (309) and (306) follows: % 53.83/22.29 | (264) op(e2, e4) = e4 % 53.83/22.29 | % 53.83/22.29 | From (310) and (307) follows: % 53.83/22.29 | (120) op(e2, e3) = all_0_46_46 % 53.83/22.29 | % 53.83/22.29 +-Applying beta-rule and splitting (232), into two cases. % 53.83/22.29 |-Branch one: % 53.83/22.29 | (313) all_0_40_40 = e2 % 53.83/22.29 | % 53.83/22.29 | Equations (313) can reduce 296 to: % 53.83/22.29 | (266) $false % 53.83/22.29 | % 53.83/22.29 |-The branch is then unsatisfiable % 53.83/22.29 |-Branch two: % 53.83/22.29 | (296) ~ (all_0_40_40 = e2) % 53.83/22.29 | (316) all_0_40_40 = e4 | all_0_40_40 = e0 % 53.83/22.29 | % 53.83/22.29 +-Applying beta-rule and splitting (39), into two cases. % 53.83/22.29 |-Branch one: % 53.83/22.29 | (317) all_0_39_39 = e2 % 53.83/22.29 | % 53.83/22.29 | Equations (317) can reduce 294 to: % 53.83/22.29 | (266) $false % 53.83/22.29 | % 53.83/22.29 |-The branch is then unsatisfiable % 53.83/22.29 |-Branch two: % 53.83/22.29 | (294) ~ (all_0_39_39 = e2) % 53.83/22.29 | (320) all_0_39_39 = e4 | all_0_39_39 = e0 % 53.83/22.29 | % 53.83/22.29 +-Applying beta-rule and splitting (170), into two cases. % 53.83/22.29 |-Branch one: % 53.83/22.29 | (321) all_0_38_38 = e4 % 53.83/22.29 | % 54.19/22.29 | Combining equations (321,292) yields a new equation: % 54.19/22.29 | (322) e4 = e2 % 54.19/22.29 | % 54.19/22.29 | Simplifying 322 yields: % 54.19/22.29 | (323) e4 = e2 % 54.19/22.29 | % 54.19/22.29 | Equations (323) can reduce 48 to: % 54.19/22.29 | (266) $false % 54.19/22.29 | % 54.19/22.29 |-The branch is then unsatisfiable % 54.19/22.29 |-Branch two: % 54.19/22.29 | (325) ~ (all_0_38_38 = e4) % 54.19/22.29 | (326) all_0_39_39 = e4 | all_0_40_40 = e4 % 54.19/22.29 | % 54.19/22.29 | Equations (292) can reduce 325 to: % 54.19/22.29 | (327) ~ (e4 = e2) % 54.19/22.29 | % 54.19/22.29 | Simplifying 327 yields: % 54.19/22.29 | (48) ~ (e4 = e2) % 54.19/22.29 | % 54.19/22.29 +-Applying beta-rule and splitting (155), into two cases. % 54.19/22.29 |-Branch one: % 54.19/22.29 | (329) all_0_38_38 = e0 % 54.19/22.29 | % 54.19/22.29 | Combining equations (329,292) yields a new equation: % 54.19/22.29 | (330) e2 = e0 % 54.19/22.29 | % 54.19/22.29 | Equations (330) can reduce 128 to: % 54.19/22.29 | (266) $false % 54.19/22.29 | % 54.19/22.29 |-The branch is then unsatisfiable % 54.19/22.29 |-Branch two: % 54.19/22.29 | (332) ~ (all_0_38_38 = e0) % 54.19/22.29 | (333) all_0_39_39 = e0 | all_0_40_40 = e0 % 54.19/22.29 | % 54.19/22.29 | Equations (292) can reduce 332 to: % 54.19/22.29 | (128) ~ (e2 = e0) % 54.19/22.29 | % 54.19/22.29 +-Applying beta-rule and splitting (134), into two cases. % 54.19/22.29 |-Branch one: % 54.19/22.30 | (335) all_0_48_48 = e2 % 54.19/22.30 | % 54.19/22.30 | Equations (335) can reduce 17 to: % 54.19/22.30 | (96) ~ (all_0_43_43 = e2) % 54.19/22.30 | % 54.19/22.30 | Equations (335) can reduce 30 to: % 54.19/22.30 | (300) ~ (all_0_46_46 = e2) % 54.19/22.30 | % 54.19/22.30 | Equations (335) can reduce 114 to: % 54.19/22.30 | (338) ~ (all_0_47_47 = e2) % 54.19/22.30 | % 54.19/22.30 | Equations (335) can reduce 185 to: % 54.19/22.30 | (339) ~ (all_0_49_49 = e2) % 54.19/22.30 | % 54.19/22.30 | Simplifying 339 yields: % 54.19/22.30 | (340) ~ (all_0_49_49 = e2) % 54.19/22.30 | % 54.19/22.30 | Equations (335) can reduce 202 to: % 54.19/22.30 | (341) ~ (all_0_52_52 = e2) % 54.19/22.30 | % 54.19/22.30 | Simplifying 341 yields: % 54.19/22.30 | (342) ~ (all_0_52_52 = e2) % 54.19/22.30 | % 54.19/22.30 | Equations (335) can reduce 239 to: % 54.19/22.30 | (343) ~ (all_0_57_57 = e2) % 54.19/22.30 | % 54.19/22.30 | Simplifying 343 yields: % 54.19/22.30 | (344) ~ (all_0_57_57 = e2) % 54.19/22.30 | % 54.19/22.30 | From (335) and (169) follows: % 54.19/22.30 | (345) op(e2, e2) = all_0_18_18 % 54.19/22.30 | % 54.19/22.30 | From (335) and (21) follows: % 54.19/22.30 | (346) op(e2, e1) = all_0_19_19 % 54.19/22.30 | % 54.19/22.30 | From (335) and (192) follows: % 54.19/22.30 | (347) op(e2, e1) = e2 % 54.19/22.30 | % 54.19/22.30 | Instantiating formula (29) with e2, e2, all_0_18_18, all_0_47_47 and discharging atoms op(e2, e2) = all_0_18_18, op(e2, e2) = all_0_47_47, yields: % 54.19/22.30 | (348) all_0_18_18 = all_0_47_47 % 54.19/22.30 | % 54.19/22.30 | Instantiating formula (29) with e2, e1, e2, all_0_19_19 and discharging atoms op(e2, e1) = all_0_19_19, op(e2, e1) = e2, yields: % 54.19/22.30 | (349) all_0_19_19 = e2 % 54.19/22.30 | % 54.19/22.30 | From (348) and (345) follows: % 54.19/22.30 | (23) op(e2, e2) = all_0_47_47 % 54.19/22.30 | % 54.19/22.30 | From (349) and (346) follows: % 54.19/22.30 | (347) op(e2, e1) = e2 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (109), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (352) all_0_52_52 = e2 % 54.19/22.30 | % 54.19/22.30 | Equations (352) can reduce 342 to: % 54.19/22.30 | (266) $false % 54.19/22.30 | % 54.19/22.30 |-The branch is then unsatisfiable % 54.19/22.30 |-Branch two: % 54.19/22.30 | (342) ~ (all_0_52_52 = e2) % 54.19/22.30 | (355) all_0_52_52 = e4 | all_0_52_52 = e1 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (4), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (356) all_0_43_43 = e0 % 54.19/22.30 | % 54.19/22.30 | Equations (356) can reduce 31 to: % 54.19/22.30 | (357) ~ (all_0_41_41 = e0) % 54.19/22.30 | % 54.19/22.30 | Equations (356) can reduce 240 to: % 54.19/22.30 | (358) ~ (all_0_42_42 = e0) % 54.19/22.30 | % 54.19/22.30 | Equations (356) can reduce 159 to: % 54.19/22.30 | (359) ~ (all_0_44_44 = e0) % 54.19/22.30 | % 54.19/22.30 | Simplifying 359 yields: % 54.19/22.30 | (360) ~ (all_0_44_44 = e0) % 54.19/22.30 | % 54.19/22.30 | Equations (356) can reduce 217 to: % 54.19/22.30 | (361) ~ (all_0_52_52 = e0) % 54.19/22.30 | % 54.19/22.30 | Simplifying 361 yields: % 54.19/22.30 | (72) ~ (all_0_52_52 = e0) % 54.19/22.30 | % 54.19/22.30 | Equations (356) can reduce 199 to: % 54.19/22.30 | (363) ~ (all_0_57_57 = e0) % 54.19/22.30 | % 54.19/22.30 | Simplifying 363 yields: % 54.19/22.30 | (364) ~ (all_0_57_57 = e0) % 54.19/22.30 | % 54.19/22.30 | Equations (356) can reduce 96 to: % 54.19/22.30 | (365) ~ (e2 = e0) % 54.19/22.30 | % 54.19/22.30 | Simplifying 365 yields: % 54.19/22.30 | (128) ~ (e2 = e0) % 54.19/22.30 | % 54.19/22.30 | From (356) and (88) follows: % 54.19/22.30 | (367) op(e0, e3) = all_0_9_9 % 54.19/22.30 | % 54.19/22.30 | From (356) and (98) follows: % 54.19/22.30 | (368) op(e0, e1) = all_0_10_10 % 54.19/22.30 | % 54.19/22.30 | From (356) and (37) follows: % 54.19/22.30 | (369) op(e3, e1) = e0 % 54.19/22.30 | % 54.19/22.30 | Instantiating formula (29) with e0, e3, all_0_9_9, all_0_55_55 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_55_55, yields: % 54.19/22.30 | (370) all_0_9_9 = all_0_55_55 % 54.19/22.30 | % 54.19/22.30 | Instantiating formula (29) with e0, e1, all_0_10_10, all_0_57_57 and discharging atoms op(e0, e1) = all_0_10_10, op(e0, e1) = all_0_57_57, yields: % 54.19/22.30 | (371) all_0_10_10 = all_0_57_57 % 54.19/22.30 | % 54.19/22.30 | From (370) and (367) follows: % 54.19/22.30 | (74) op(e0, e3) = all_0_55_55 % 54.19/22.30 | % 54.19/22.30 | From (371) and (368) follows: % 54.19/22.30 | (83) op(e0, e1) = all_0_57_57 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (158), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (313) all_0_40_40 = e2 % 54.19/22.30 | % 54.19/22.30 | Equations (313) can reduce 296 to: % 54.19/22.30 | (266) $false % 54.19/22.30 | % 54.19/22.30 |-The branch is then unsatisfiable % 54.19/22.30 |-Branch two: % 54.19/22.30 | (296) ~ (all_0_40_40 = e2) % 54.19/22.30 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (95), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (378) all_0_50_50 = e2 % 54.19/22.30 | % 54.19/22.30 | Equations (378) can reduce 302 to: % 54.19/22.30 | (266) $false % 54.19/22.30 | % 54.19/22.30 |-The branch is then unsatisfiable % 54.19/22.30 |-Branch two: % 54.19/22.30 | (302) ~ (all_0_50_50 = e2) % 54.19/22.30 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (47), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (317) all_0_39_39 = e2 % 54.19/22.30 | % 54.19/22.30 | Equations (317) can reduce 294 to: % 54.19/22.30 | (266) $false % 54.19/22.30 | % 54.19/22.30 |-The branch is then unsatisfiable % 54.19/22.30 |-Branch two: % 54.19/22.30 | (294) ~ (all_0_39_39 = e2) % 54.19/22.30 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (222), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (386) all_0_55_55 = e2 % 54.19/22.30 | % 54.19/22.30 | Equations (386) can reduce 304 to: % 54.19/22.30 | (266) $false % 54.19/22.30 | % 54.19/22.30 |-The branch is then unsatisfiable % 54.19/22.30 |-Branch two: % 54.19/22.30 | (304) ~ (all_0_55_55 = e2) % 54.19/22.30 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (243), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (329) all_0_38_38 = e0 % 54.19/22.30 | % 54.19/22.30 | Combining equations (292,329) yields a new equation: % 54.19/22.30 | (391) e2 = e0 % 54.19/22.30 | % 54.19/22.30 | Simplifying 391 yields: % 54.19/22.30 | (330) e2 = e0 % 54.19/22.30 | % 54.19/22.30 | Equations (330) can reduce 128 to: % 54.19/22.30 | (266) $false % 54.19/22.30 | % 54.19/22.30 |-The branch is then unsatisfiable % 54.19/22.30 |-Branch two: % 54.19/22.30 | (332) ~ (all_0_38_38 = e0) % 54.19/22.30 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 54.19/22.30 | % 54.19/22.30 +-Applying beta-rule and splitting (230), into two cases. % 54.19/22.30 |-Branch one: % 54.19/22.30 | (396) all_0_43_43 = e4 % 54.19/22.30 | % 54.19/22.30 | Combining equations (356,396) yields a new equation: % 54.19/22.31 | (397) e4 = e0 % 54.19/22.31 | % 54.19/22.31 | Equations (397) can reduce 49 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (399) ~ (all_0_43_43 = e4) % 54.19/22.31 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 54.19/22.31 | % 54.19/22.31 | Equations (356) can reduce 399 to: % 54.19/22.31 | (401) ~ (e4 = e0) % 54.19/22.31 | % 54.19/22.31 | Simplifying 401 yields: % 54.19/22.31 | (49) ~ (e4 = e0) % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (113), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (403) all_0_41_41 = e3 % 54.19/22.31 | % 54.19/22.31 | Equations (403) can reduce 214 to: % 54.19/22.31 | (404) ~ (all_0_42_42 = e3) % 54.19/22.31 | % 54.19/22.31 | Simplifying 404 yields: % 54.19/22.31 | (405) ~ (all_0_42_42 = e3) % 54.19/22.31 | % 54.19/22.31 | Equations (403) can reduce 149 to: % 54.19/22.31 | (406) ~ (all_0_44_44 = e3) % 54.19/22.31 | % 54.19/22.31 | Simplifying 406 yields: % 54.19/22.31 | (407) ~ (all_0_44_44 = e3) % 54.19/22.31 | % 54.19/22.31 | Equations (403) can reduce 43 to: % 54.19/22.31 | (408) ~ (all_0_46_46 = e3) % 54.19/22.31 | % 54.19/22.31 | Simplifying 408 yields: % 54.19/22.31 | (409) ~ (all_0_46_46 = e3) % 54.19/22.31 | % 54.19/22.31 | Equations (403) can reduce 221 to: % 54.19/22.31 | (410) ~ (all_0_50_50 = e3) % 54.19/22.31 | % 54.19/22.31 | Simplifying 410 yields: % 54.19/22.31 | (411) ~ (all_0_50_50 = e3) % 54.19/22.31 | % 54.19/22.31 | Equations (403) can reduce 191 to: % 54.19/22.31 | (269) ~ (all_0_55_55 = e3) % 54.19/22.31 | % 54.19/22.31 | Simplifying 269 yields: % 54.19/22.31 | (270) ~ (all_0_55_55 = e3) % 54.19/22.31 | % 54.19/22.31 | Equations (403) can reduce 85 to: % 54.19/22.31 | (212) ~ (e3 = e2) % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (168), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (415) all_0_50_50 = e3 % 54.19/22.31 | % 54.19/22.31 | Equations (415) can reduce 411 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (411) ~ (all_0_50_50 = e3) % 54.19/22.31 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (241), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (378) all_0_50_50 = e2 % 54.19/22.31 | % 54.19/22.31 | Equations (378) can reduce 302 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (302) ~ (all_0_50_50 = e2) % 54.19/22.31 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (78), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (423) all_0_45_45 = e3 % 54.19/22.31 | % 54.19/22.31 | Combining equations (248,423) yields a new equation: % 54.19/22.31 | (424) e4 = e3 % 54.19/22.31 | % 54.19/22.31 | Simplifying 424 yields: % 54.19/22.31 | (425) e4 = e3 % 54.19/22.31 | % 54.19/22.31 | Equations (425) can reduce 188 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (427) ~ (all_0_45_45 = e3) % 54.19/22.31 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 54.19/22.31 | % 54.19/22.31 | Equations (248) can reduce 427 to: % 54.19/22.31 | (188) ~ (e4 = e3) % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (130), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (430) all_0_43_43 = e1 % 54.19/22.31 | % 54.19/22.31 | Combining equations (356,430) yields a new equation: % 54.19/22.31 | (431) e1 = e0 % 54.19/22.31 | % 54.19/22.31 | Equations (431) can reduce 233 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (433) ~ (all_0_43_43 = e1) % 54.19/22.31 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 54.19/22.31 | % 54.19/22.31 | Equations (356) can reduce 433 to: % 54.19/22.31 | (435) ~ (e1 = e0) % 54.19/22.31 | % 54.19/22.31 | Simplifying 435 yields: % 54.19/22.31 | (233) ~ (e1 = e0) % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (64), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (437) all_0_41_41 = e4 % 54.19/22.31 | % 54.19/22.31 | Combining equations (403,437) yields a new equation: % 54.19/22.31 | (425) e4 = e3 % 54.19/22.31 | % 54.19/22.31 | Equations (425) can reduce 188 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (440) ~ (all_0_41_41 = e4) % 54.19/22.31 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (12), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (442) all_0_57_57 = e2 % 54.19/22.31 | % 54.19/22.31 | Equations (442) can reduce 344 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (344) ~ (all_0_57_57 = e2) % 54.19/22.31 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (26), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (446) all_0_44_44 = e4 % 54.19/22.31 | % 54.19/22.31 | Equations (446) can reduce 143 to: % 54.19/22.31 | (447) ~ (all_0_40_40 = e4) % 54.19/22.31 | % 54.19/22.31 | Equations (446) can reduce 9 to: % 54.19/22.31 | (255) ~ (all_0_49_49 = e4) % 54.19/22.31 | % 54.19/22.31 | Simplifying 255 yields: % 54.19/22.31 | (256) ~ (all_0_49_49 = e4) % 54.19/22.31 | % 54.19/22.31 | Equations (446) can reduce 181 to: % 54.19/22.31 | (450) ~ (all_0_58_58 = e4) % 54.19/22.31 | % 54.19/22.31 | Simplifying 450 yields: % 54.19/22.31 | (451) ~ (all_0_58_58 = e4) % 54.19/22.31 | % 54.19/22.31 | Equations (446) can reduce 360 to: % 54.19/22.31 | (49) ~ (e4 = e0) % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (103), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (453) all_0_41_41 = e1 % 54.19/22.31 | % 54.19/22.31 | Combining equations (403,453) yields a new equation: % 54.19/22.31 | (454) e3 = e1 % 54.19/22.31 | % 54.19/22.31 | Simplifying 454 yields: % 54.19/22.31 | (455) e3 = e1 % 54.19/22.31 | % 54.19/22.31 | Equations (455) can reduce 213 to: % 54.19/22.31 | (266) $false % 54.19/22.31 | % 54.19/22.31 |-The branch is then unsatisfiable % 54.19/22.31 |-Branch two: % 54.19/22.31 | (457) ~ (all_0_41_41 = e1) % 54.19/22.31 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (458), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (459) all_0_42_42 = e1 % 54.19/22.31 | % 54.19/22.31 | Equations (459) can reduce 145 to: % 54.19/22.31 | (151) ~ (all_0_39_39 = e1) % 54.19/22.31 | % 54.19/22.31 | Equations (459) can reduce 198 to: % 54.19/22.31 | (461) ~ (all_0_47_47 = e1) % 54.19/22.31 | % 54.19/22.31 | Simplifying 461 yields: % 54.19/22.31 | (462) ~ (all_0_47_47 = e1) % 54.19/22.31 | % 54.19/22.31 | Equations (459) can reduce 61 to: % 54.19/22.31 | (463) ~ (all_0_51_51 = e1) % 54.19/22.31 | % 54.19/22.31 | Simplifying 463 yields: % 54.19/22.31 | (464) ~ (all_0_51_51 = e1) % 54.19/22.31 | % 54.19/22.31 | Equations (459) can reduce 236 to: % 54.19/22.31 | (465) ~ (all_0_56_56 = e1) % 54.19/22.31 | % 54.19/22.31 | Simplifying 465 yields: % 54.19/22.31 | (466) ~ (all_0_56_56 = e1) % 54.19/22.31 | % 54.19/22.31 | Equations (459) can reduce 405 to: % 54.19/22.31 | (467) ~ (e3 = e1) % 54.19/22.31 | % 54.19/22.31 | Simplifying 467 yields: % 54.19/22.31 | (213) ~ (e3 = e1) % 54.19/22.31 | % 54.19/22.31 | From (459) and (225) follows: % 54.19/22.31 | (469) op(e1, e2) = all_0_8_8 % 54.19/22.31 | % 54.19/22.31 | From (459) and (210) follows: % 54.19/22.31 | (470) op(e3, e2) = e1 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (326), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (471) all_0_39_39 = e4 % 54.19/22.31 | % 54.19/22.31 | Equations (471) can reduce 79 to: % 54.19/22.31 | (251) ~ (all_0_47_47 = e4) % 54.19/22.31 | % 54.19/22.31 | Simplifying 251 yields: % 54.19/22.31 | (252) ~ (all_0_47_47 = e4) % 54.19/22.31 | % 54.19/22.31 | Equations (471) can reduce 139 to: % 54.19/22.31 | (474) ~ (all_0_51_51 = e4) % 54.19/22.31 | % 54.19/22.31 | Simplifying 474 yields: % 54.19/22.31 | (475) ~ (all_0_51_51 = e4) % 54.19/22.31 | % 54.19/22.31 | Equations (471) can reduce 154 to: % 54.19/22.31 | (476) ~ (all_0_56_56 = e4) % 54.19/22.31 | % 54.19/22.31 | Simplifying 476 yields: % 54.19/22.31 | (477) ~ (all_0_56_56 = e4) % 54.19/22.31 | % 54.19/22.31 | Equations (471) can reduce 151 to: % 54.19/22.31 | (110) ~ (e4 = e1) % 54.19/22.31 | % 54.19/22.31 | From (471) and (182) follows: % 54.19/22.31 | (479) op(e4, e4) = all_0_2_2 % 54.19/22.31 | % 54.19/22.31 +-Applying beta-rule and splitting (333), into two cases. % 54.19/22.31 |-Branch one: % 54.19/22.31 | (480) all_0_39_39 = e0 % 54.19/22.32 | % 54.19/22.32 | Combining equations (471,480) yields a new equation: % 54.19/22.32 | (481) e4 = e0 % 54.19/22.32 | % 54.19/22.32 | Simplifying 481 yields: % 54.19/22.32 | (397) e4 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (397) can reduce 49 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (484) ~ (all_0_39_39 = e0) % 54.19/22.32 | (485) all_0_40_40 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (485) can reduce 200 to: % 54.19/22.32 | (486) ~ (all_0_49_49 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 486 yields: % 54.19/22.32 | (487) ~ (all_0_49_49 = e0) % 54.19/22.32 | % 54.19/22.32 | Equations (485) can reduce 162 to: % 54.19/22.32 | (488) ~ (all_0_53_53 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 488 yields: % 54.19/22.32 | (247) ~ (all_0_53_53 = e0) % 54.19/22.32 | % 54.19/22.32 | Equations (485) can reduce 178 to: % 54.19/22.32 | (490) ~ (all_0_58_58 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 490 yields: % 54.19/22.32 | (491) ~ (all_0_58_58 = e0) % 54.19/22.32 | % 54.19/22.32 | Equations (485) can reduce 132 to: % 54.19/22.32 | (435) ~ (e1 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 435 yields: % 54.19/22.32 | (233) ~ (e1 = e0) % 54.19/22.32 | % 54.19/22.32 | From (485) and (34) follows: % 54.19/22.32 | (494) op(e0, e4) = all_0_4_4 % 54.19/22.32 | % 54.19/22.32 | From (485) and (203) follows: % 54.19/22.32 | (495) op(e0, e0) = all_0_5_5 % 54.19/22.32 | % 54.19/22.32 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 54.19/22.32 | (496) all_0_2_2 = e1 % 54.19/22.32 | % 54.19/22.32 | Instantiating formula (29) with e1, e2, all_0_8_8, all_0_51_51 and discharging atoms op(e1, e2) = all_0_8_8, op(e1, e2) = all_0_51_51, yields: % 54.19/22.32 | (497) all_0_8_8 = all_0_51_51 % 54.19/22.32 | % 54.19/22.32 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 54.19/22.32 | (498) all_0_4_4 = e3 % 54.19/22.32 | % 54.19/22.32 | Instantiating formula (29) with e0, e0, all_0_5_5, all_0_58_58 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = all_0_58_58, yields: % 54.19/22.32 | (499) all_0_5_5 = all_0_58_58 % 54.19/22.32 | % 54.19/22.32 | From (496) and (479) follows: % 54.19/22.32 | (41) op(e4, e4) = e1 % 54.19/22.32 | % 54.19/22.32 | From (497) and (469) follows: % 54.19/22.32 | (186) op(e1, e2) = all_0_51_51 % 54.19/22.32 | % 54.19/22.32 | From (498) and (494) follows: % 54.19/22.32 | (283) op(e0, e4) = e3 % 54.19/22.32 | % 54.19/22.32 | From (499) and (495) follows: % 54.19/22.32 | (245) op(e0, e0) = all_0_58_58 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (7), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (504) all_0_51_51 = e2 % 54.19/22.32 | % 54.19/22.32 | Equations (504) can reduce 59 to: % 54.19/22.32 | (302) ~ (all_0_50_50 = e2) % 54.19/22.32 | % 54.19/22.32 | Equations (504) can reduce 20 to: % 54.19/22.32 | (341) ~ (all_0_52_52 = e2) % 54.19/22.32 | % 54.19/22.32 | Simplifying 341 yields: % 54.19/22.32 | (342) ~ (all_0_52_52 = e2) % 54.19/22.32 | % 54.19/22.32 | Equations (504) can reduce 6 to: % 54.19/22.32 | (508) ~ (all_0_53_53 = e2) % 54.19/22.32 | % 54.19/22.32 | Simplifying 508 yields: % 54.19/22.32 | (509) ~ (all_0_53_53 = e2) % 54.19/22.32 | % 54.19/22.32 | Equations (504) can reduce 16 to: % 54.19/22.32 | (510) ~ (all_0_56_56 = e2) % 54.19/22.32 | % 54.19/22.32 | Simplifying 510 yields: % 54.19/22.32 | (511) ~ (all_0_56_56 = e2) % 54.19/22.32 | % 54.19/22.32 | Equations (504) can reduce 475 to: % 54.19/22.32 | (327) ~ (e4 = e2) % 54.19/22.32 | % 54.19/22.32 | Simplifying 327 yields: % 54.19/22.32 | (48) ~ (e4 = e2) % 54.19/22.32 | % 54.19/22.32 | From (504) and (177) follows: % 54.19/22.32 | (514) op(e2, e2) = all_0_25_25 % 54.19/22.32 | % 54.19/22.32 | From (504) and (186) follows: % 54.19/22.32 | (515) op(e1, e2) = e2 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (180), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (516) all_0_42_42 = e3 % 54.19/22.32 | % 54.19/22.32 | Combining equations (516,459) yields a new equation: % 54.19/22.32 | (454) e3 = e1 % 54.19/22.32 | % 54.19/22.32 | Simplifying 454 yields: % 54.19/22.32 | (455) e3 = e1 % 54.19/22.32 | % 54.19/22.32 | Equations (455) can reduce 213 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (405) ~ (all_0_42_42 = e3) % 54.19/22.32 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (521), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (522) all_0_47_47 = e3 % 54.19/22.32 | % 54.19/22.32 | Equations (522) can reduce 19 to: % 54.19/22.32 | (409) ~ (all_0_46_46 = e3) % 54.19/22.32 | % 54.19/22.32 | Equations (522) can reduce 86 to: % 54.19/22.32 | (524) ~ (all_0_49_49 = e3) % 54.19/22.32 | % 54.19/22.32 | Simplifying 524 yields: % 54.19/22.32 | (525) ~ (all_0_49_49 = e3) % 54.19/22.32 | % 54.19/22.32 | Equations (522) can reduce 91 to: % 54.19/22.32 | (271) ~ (all_0_56_56 = e3) % 54.19/22.32 | % 54.19/22.32 | Simplifying 271 yields: % 54.19/22.32 | (272) ~ (all_0_56_56 = e3) % 54.19/22.32 | % 54.19/22.32 | Equations (522) can reduce 252 to: % 54.19/22.32 | (277) ~ (e4 = e3) % 54.19/22.32 | % 54.19/22.32 | Simplifying 277 yields: % 54.19/22.32 | (188) ~ (e4 = e3) % 54.19/22.32 | % 54.19/22.32 | Equations (522) can reduce 462 to: % 54.19/22.32 | (213) ~ (e3 = e1) % 54.19/22.32 | % 54.19/22.32 | From (522) and (23) follows: % 54.19/22.32 | (531) op(e2, e2) = e3 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (189), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (532) all_0_44_44 = e3 % 54.19/22.32 | % 54.19/22.32 | Combining equations (446,532) yields a new equation: % 54.19/22.32 | (424) e4 = e3 % 54.19/22.32 | % 54.19/22.32 | Simplifying 424 yields: % 54.19/22.32 | (425) e4 = e3 % 54.19/22.32 | % 54.19/22.32 | Equations (425) can reduce 188 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (407) ~ (all_0_44_44 = e3) % 54.19/22.32 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (184), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (538) all_0_46_46 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (538) can reduce 250 to: % 54.19/22.32 | (401) ~ (e4 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 401 yields: % 54.19/22.32 | (49) ~ (e4 = e0) % 54.19/22.32 | % 54.19/22.32 | Equations (538) can reduce 409 to: % 54.19/22.32 | (541) ~ (e3 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 541 yields: % 54.19/22.32 | (80) ~ (e3 = e0) % 54.19/22.32 | % 54.19/22.32 | From (538) and (33) follows: % 54.19/22.32 | (543) op(e0, e3) = all_0_16_16 % 54.19/22.32 | % 54.19/22.32 | From (538) and (120) follows: % 54.19/22.32 | (544) op(e2, e3) = e0 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (135), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (545) all_0_46_46 = e1 % 54.19/22.32 | % 54.19/22.32 | Combining equations (545,538) yields a new equation: % 54.19/22.32 | (546) e1 = e0 % 54.19/22.32 | % 54.19/22.32 | Simplifying 546 yields: % 54.19/22.32 | (431) e1 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (431) can reduce 233 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (549) ~ (all_0_46_46 = e1) % 54.19/22.32 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.19/22.32 | % 54.19/22.32 | Equations (538) can reduce 549 to: % 54.19/22.32 | (435) ~ (e1 = e0) % 54.19/22.32 | % 54.19/22.32 | Simplifying 435 yields: % 54.19/22.32 | (233) ~ (e1 = e0) % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (104), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (480) all_0_39_39 = e0 % 54.19/22.32 | % 54.19/22.32 | Combining equations (471,480) yields a new equation: % 54.19/22.32 | (481) e4 = e0 % 54.19/22.32 | % 54.19/22.32 | Simplifying 481 yields: % 54.19/22.32 | (397) e4 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (397) can reduce 49 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (484) ~ (all_0_39_39 = e0) % 54.19/22.32 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (558), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (559) all_0_42_42 = e0 % 54.19/22.32 | % 54.19/22.32 | Combining equations (559,459) yields a new equation: % 54.19/22.32 | (431) e1 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (431) can reduce 233 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (358) ~ (all_0_42_42 = e0) % 54.19/22.32 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 54.19/22.32 | % 54.19/22.32 | Equations (459) can reduce 358 to: % 54.19/22.32 | (233) ~ (e1 = e0) % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (163), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (565) all_0_52_52 = e4 % 54.19/22.32 | % 54.19/22.32 | Equations (565) can reduce 101 to: % 54.19/22.32 | (566) ~ (all_0_50_50 = e4) % 54.19/22.32 | % 54.19/22.32 | Equations (565) can reduce 166 to: % 54.19/22.32 | (188) ~ (e4 = e3) % 54.19/22.32 | % 54.19/22.32 | Equations (565) can reduce 342 to: % 54.19/22.32 | (48) ~ (e4 = e2) % 54.19/22.32 | % 54.19/22.32 | Equations (565) can reduce 72 to: % 54.19/22.32 | (49) ~ (e4 = e0) % 54.19/22.32 | % 54.19/22.32 | From (565) and (124) follows: % 54.19/22.32 | (570) op(e1, e1) = e4 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (171), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (265) all_0_54_54 = e4 % 54.19/22.32 | % 54.19/22.32 | Combining equations (268,265) yields a new equation: % 54.19/22.32 | (425) e4 = e3 % 54.19/22.32 | % 54.19/22.32 | Equations (425) can reduce 188 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (258) ~ (all_0_54_54 = e4) % 54.19/22.32 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.19/22.32 | % 54.19/22.32 | Equations (268) can reduce 258 to: % 54.19/22.32 | (277) ~ (e4 = e3) % 54.19/22.32 | % 54.19/22.32 | Simplifying 277 yields: % 54.19/22.32 | (188) ~ (e4 = e3) % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (62), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (321) all_0_38_38 = e4 % 54.19/22.32 | % 54.19/22.32 | Combining equations (292,321) yields a new equation: % 54.19/22.32 | (323) e4 = e2 % 54.19/22.32 | % 54.19/22.32 | Equations (323) can reduce 48 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (325) ~ (all_0_38_38 = e4) % 54.19/22.32 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (54), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (583) all_0_49_49 = e2 % 54.19/22.32 | % 54.19/22.32 | Equations (583) can reduce 340 to: % 54.19/22.32 | (266) $false % 54.19/22.32 | % 54.19/22.32 |-The branch is then unsatisfiable % 54.19/22.32 |-Branch two: % 54.19/22.32 | (340) ~ (all_0_49_49 = e2) % 54.19/22.32 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.19/22.32 | % 54.19/22.32 +-Applying beta-rule and splitting (575), into two cases. % 54.19/22.32 |-Branch one: % 54.19/22.32 | (587) all_0_55_55 = e4 % 54.19/22.32 | % 54.19/22.32 | Equations (587) can reduce 93 to: % 54.19/22.32 | (566) ~ (all_0_50_50 = e4) % 54.19/22.33 | % 54.19/22.33 | From (587) and (74) follows: % 54.19/22.33 | (589) op(e0, e3) = e4 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (18), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (453) all_0_41_41 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (403,453) yields a new equation: % 54.19/22.33 | (454) e3 = e1 % 54.19/22.33 | % 54.19/22.33 | Simplifying 454 yields: % 54.19/22.33 | (455) e3 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (455) can reduce 213 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (457) ~ (all_0_41_41 = e1) % 54.19/22.33 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (595), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (545) all_0_46_46 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (538,545) yields a new equation: % 54.19/22.33 | (431) e1 = e0 % 54.19/22.33 | % 54.19/22.33 | Equations (431) can reduce 233 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (549) ~ (all_0_46_46 = e1) % 54.19/22.33 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (600), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (601) all_0_50_50 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (601) can reduce 566 to: % 54.19/22.33 | (602) ~ (e4 = e1) % 54.19/22.33 | % 54.19/22.33 | Simplifying 602 yields: % 54.19/22.33 | (110) ~ (e4 = e1) % 54.19/22.33 | % 54.19/22.33 | Equations (601) can reduce 302 to: % 54.19/22.33 | (604) ~ (e2 = e1) % 54.19/22.33 | % 54.19/22.33 | Simplifying 604 yields: % 54.19/22.33 | (122) ~ (e2 = e1) % 54.19/22.33 | % 54.19/22.33 | From (601) and (57) follows: % 54.19/22.33 | (606) op(e1, e1) = all_0_22_22 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (196), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (607) all_0_53_53 = e2 % 54.19/22.33 | % 54.19/22.33 | Equations (607) can reduce 509 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (509) ~ (all_0_53_53 = e2) % 54.19/22.33 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (377), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (583) all_0_49_49 = e2 % 54.19/22.33 | % 54.19/22.33 | Equations (583) can reduce 340 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (340) ~ (all_0_49_49 = e2) % 54.19/22.33 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (434), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (615) all_0_48_48 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (335,615) yields a new equation: % 54.19/22.33 | (616) e2 = e1 % 54.19/22.33 | % 54.19/22.33 | Simplifying 616 yields: % 54.19/22.33 | (617) e2 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (617) can reduce 122 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (619) ~ (all_0_48_48 = e1) % 54.19/22.33 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (614), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (607) all_0_53_53 = e2 % 54.19/22.33 | % 54.19/22.33 | Equations (607) can reduce 509 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (509) ~ (all_0_53_53 = e2) % 54.19/22.33 | (624) all_0_58_58 = e2 % 54.19/22.33 | % 54.19/22.33 | Equations (624) can reduce 148 to: % 54.19/22.33 | (344) ~ (all_0_57_57 = e2) % 54.19/22.33 | % 54.19/22.33 | Equations (624) can reduce 276 to: % 54.19/22.33 | (626) ~ (e3 = e2) % 54.19/22.33 | % 54.19/22.33 | Simplifying 626 yields: % 54.19/22.33 | (212) ~ (e3 = e2) % 54.19/22.33 | % 54.19/22.33 | From (624) and (245) follows: % 54.19/22.33 | (628) op(e0, e0) = e2 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (216), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (629) all_0_55_55 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (629,587) yields a new equation: % 54.19/22.33 | (630) e4 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (630) can reduce 110 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (632) ~ (all_0_55_55 = e1) % 54.19/22.33 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (587) can reduce 632 to: % 54.19/22.33 | (110) ~ (e4 = e1) % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (112), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (635) all_0_44_44 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (446,635) yields a new equation: % 54.19/22.33 | (636) e4 = e1 % 54.19/22.33 | % 54.19/22.33 | Simplifying 636 yields: % 54.19/22.33 | (630) e4 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (630) can reduce 110 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (639) ~ (all_0_44_44 = e1) % 54.19/22.33 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (446) can reduce 639 to: % 54.19/22.33 | (110) ~ (e4 = e1) % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (620), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (642) all_0_52_52 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (565,642) yields a new equation: % 54.19/22.33 | (636) e4 = e1 % 54.19/22.33 | % 54.19/22.33 | Simplifying 636 yields: % 54.19/22.33 | (630) e4 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (630) can reduce 110 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (646) ~ (all_0_52_52 = e1) % 54.19/22.33 | (647) all_0_57_57 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (647) can reduce 140 to: % 54.19/22.33 | (466) ~ (all_0_56_56 = e1) % 54.19/22.33 | % 54.19/22.33 | Equations (647) can reduce 67 to: % 54.19/22.33 | (467) ~ (e3 = e1) % 54.19/22.33 | % 54.19/22.33 | Simplifying 467 yields: % 54.19/22.33 | (213) ~ (e3 = e1) % 54.19/22.33 | % 54.19/22.33 | Equations (647) can reduce 344 to: % 54.19/22.33 | (604) ~ (e2 = e1) % 54.19/22.33 | % 54.19/22.33 | Simplifying 604 yields: % 54.19/22.33 | (122) ~ (e2 = e1) % 54.19/22.33 | % 54.19/22.33 | From (647) and (45) follows: % 54.19/22.33 | (653) op(e1, e1) = all_0_36_36 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (550), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (654) all_0_47_47 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (522,654) yields a new equation: % 54.19/22.33 | (454) e3 = e1 % 54.19/22.33 | % 54.19/22.33 | Simplifying 454 yields: % 54.19/22.33 | (455) e3 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (455) can reduce 213 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (462) ~ (all_0_47_47 = e1) % 54.19/22.33 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (418), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (660) all_0_51_51 = e3 % 54.19/22.33 | % 54.19/22.33 | Combining equations (660,504) yields a new equation: % 54.19/22.33 | (661) e3 = e2 % 54.19/22.33 | % 54.19/22.33 | Simplifying 661 yields: % 54.19/22.33 | (662) e3 = e2 % 54.19/22.33 | % 54.19/22.33 | Equations (662) can reduce 212 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (664) ~ (all_0_51_51 = e3) % 54.19/22.33 | (665) all_0_53_53 = e3 % 54.19/22.33 | % 54.19/22.33 | Equations (665) can reduce 247 to: % 54.19/22.33 | (80) ~ (e3 = e0) % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (659), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (615) all_0_48_48 = e1 % 54.19/22.33 | % 54.19/22.33 | Combining equations (615,335) yields a new equation: % 54.19/22.33 | (617) e2 = e1 % 54.19/22.33 | % 54.19/22.33 | Equations (617) can reduce 122 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (619) ~ (all_0_48_48 = e1) % 54.19/22.33 | (671) all_0_49_49 = e1 % 54.19/22.33 | % 54.19/22.33 | From (671) and (129) follows: % 54.19/22.33 | (672) op(e1, e2) = all_0_20_20 % 54.19/22.33 | % 54.19/22.33 | From (671) and (55) follows: % 54.19/22.33 | (673) op(e2, e0) = e1 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (563), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (674) all_0_47_47 = e0 % 54.19/22.33 | % 54.19/22.33 | Combining equations (522,674) yields a new equation: % 54.19/22.33 | (675) e3 = e0 % 54.19/22.33 | % 54.19/22.33 | Simplifying 675 yields: % 54.19/22.33 | (676) e3 = e0 % 54.19/22.33 | % 54.19/22.33 | Equations (676) can reduce 80 to: % 54.19/22.33 | (266) $false % 54.19/22.33 | % 54.19/22.33 |-The branch is then unsatisfiable % 54.19/22.33 |-Branch two: % 54.19/22.33 | (678) ~ (all_0_47_47 = e0) % 54.19/22.33 | (679) all_0_56_56 = e0 % 54.19/22.33 | % 54.19/22.33 | Equations (679) can reduce 466 to: % 54.19/22.33 | (435) ~ (e1 = e0) % 54.19/22.33 | % 54.19/22.33 | Simplifying 435 yields: % 54.19/22.33 | (233) ~ (e1 = e0) % 54.19/22.33 | % 54.19/22.33 | From (679) and (127) follows: % 54.19/22.33 | (682) op(e0, e0) = all_0_33_33 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e2, e2, e3, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = e3, yields: % 54.19/22.33 | (683) all_0_25_25 = e3 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e1, e2, e2, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = e2, yields: % 54.19/22.33 | (684) all_0_20_20 = e2 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e1, e1, all_0_36_36, all_0_22_22 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = all_0_36_36, yields: % 54.19/22.33 | (685) all_0_22_22 = all_0_36_36 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e1, e1, e4, all_0_22_22 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 54.19/22.33 | (686) all_0_22_22 = e4 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e0, e3, e4, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e4, yields: % 54.19/22.33 | (687) all_0_16_16 = e4 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e0, e0, e2, all_0_33_33 and discharging atoms op(e0, e0) = all_0_33_33, op(e0, e0) = e2, yields: % 54.19/22.33 | (688) all_0_33_33 = e2 % 54.19/22.33 | % 54.19/22.33 | Combining equations (685,686) yields a new equation: % 54.19/22.33 | (689) all_0_36_36 = e4 % 54.19/22.33 | % 54.19/22.33 | Simplifying 689 yields: % 54.19/22.33 | (690) all_0_36_36 = e4 % 54.19/22.33 | % 54.19/22.33 | From (683) and (514) follows: % 54.19/22.33 | (531) op(e2, e2) = e3 % 54.19/22.33 | % 54.19/22.33 | From (684) and (672) follows: % 54.19/22.33 | (515) op(e1, e2) = e2 % 54.19/22.33 | % 54.19/22.33 | From (690) and (653) follows: % 54.19/22.33 | (570) op(e1, e1) = e4 % 54.19/22.33 | % 54.19/22.33 | From (687) and (543) follows: % 54.19/22.33 | (589) op(e0, e3) = e4 % 54.19/22.33 | % 54.19/22.33 | From (688) and (682) follows: % 54.19/22.33 | (628) op(e0, e0) = e2 % 54.19/22.33 | % 54.19/22.33 +-Applying beta-rule and splitting (56), into two cases. % 54.19/22.33 |-Branch one: % 54.19/22.33 | (696) unit = e2 % 54.19/22.33 | % 54.19/22.33 | From (696) and (24) follows: % 54.19/22.33 | (697) op(e2, e3) = e3 % 54.19/22.33 | % 54.19/22.33 | From (696) and (32) follows: % 54.19/22.33 | (698) op(e2, e2) = e2 % 54.19/22.33 | % 54.19/22.33 | From (696) and (28) follows: % 54.19/22.33 | (699) op(e1, e2) = e1 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 54.19/22.33 | (676) e3 = e0 % 54.19/22.33 | % 54.19/22.33 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 54.19/22.34 | (662) e3 = e2 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 54.19/22.34 | (617) e2 = e1 % 54.19/22.34 | % 54.19/22.34 | Combining equations (662,676) yields a new equation: % 54.19/22.34 | (391) e2 = e0 % 54.19/22.34 | % 54.19/22.34 | Simplifying 391 yields: % 54.19/22.34 | (330) e2 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (330,617) yields a new equation: % 54.19/22.34 | (431) e1 = e0 % 54.19/22.34 | % 54.19/22.34 | Equations (431) can reduce 233 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (707) ~ (unit = e2) % 54.19/22.34 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (708), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (709) unit = e4 % 54.19/22.34 | % 54.19/22.34 | From (709) and (227) follows: % 54.19/22.34 | (710) op(e4, e4) = e4 % 54.19/22.34 | % 54.19/22.34 | From (709) and (40) follows: % 54.19/22.34 | (711) op(e3, e4) = e3 % 54.19/22.34 | % 54.19/22.34 | From (709) and (32) follows: % 54.19/22.34 | (712) op(e2, e4) = e2 % 54.19/22.34 | % 54.19/22.34 | From (709) and (42) follows: % 54.19/22.34 | (713) op(e0, e4) = e0 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 54.19/22.34 | (630) e4 = e1 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 54.19/22.34 | (662) e3 = e2 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 54.19/22.34 | (323) e4 = e2 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 54.19/22.34 | (676) e3 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (323,630) yields a new equation: % 54.19/22.34 | (616) e2 = e1 % 54.19/22.34 | % 54.19/22.34 | Simplifying 616 yields: % 54.19/22.34 | (617) e2 = e1 % 54.19/22.34 | % 54.19/22.34 | Combining equations (662,676) yields a new equation: % 54.19/22.34 | (391) e2 = e0 % 54.19/22.34 | % 54.19/22.34 | Simplifying 391 yields: % 54.19/22.34 | (330) e2 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (330,617) yields a new equation: % 54.19/22.34 | (431) e1 = e0 % 54.19/22.34 | % 54.19/22.34 | Equations (431) can reduce 233 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (724) ~ (unit = e4) % 54.19/22.34 | (725) unit = e3 | unit = e1 | unit = e0 % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (725), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (726) unit = e0 % 54.19/22.34 | % 54.19/22.34 | From (726) and (32) follows: % 54.19/22.34 | (727) op(e2, e0) = e2 % 54.19/22.34 | % 54.19/22.34 | From (726) and (42) follows: % 54.19/22.34 | (728) op(e0, e0) = e0 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e2, e0, e2, e1 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e1, yields: % 54.19/22.34 | (617) e2 = e1 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 54.19/22.34 | (330) e2 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (617,330) yields a new equation: % 54.19/22.34 | (546) e1 = e0 % 54.19/22.34 | % 54.19/22.34 | Simplifying 546 yields: % 54.19/22.34 | (431) e1 = e0 % 54.19/22.34 | % 54.19/22.34 | Equations (431) can reduce 233 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (734) ~ (unit = e0) % 54.19/22.34 | (735) unit = e3 | unit = e1 % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (735), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (736) unit = e1 % 54.19/22.34 | % 54.19/22.34 | Equations (736) can reduce 734 to: % 54.19/22.34 | (233) ~ (e1 = e0) % 54.19/22.34 | % 54.19/22.34 | From (736) and (244) follows: % 54.19/22.34 | (738) op(e1, e4) = e4 % 54.19/22.34 | % 54.19/22.34 | From (736) and (227) follows: % 54.19/22.34 | (739) op(e4, e1) = e4 % 54.19/22.34 | % 54.19/22.34 | From (736) and (28) follows: % 54.19/22.34 | (740) op(e1, e1) = e1 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 54.19/22.34 | (425) e4 = e3 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 54.19/22.34 | (397) e4 = e0 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 54.19/22.34 | (630) e4 = e1 % 54.19/22.34 | % 54.19/22.34 | Combining equations (630,425) yields a new equation: % 54.19/22.34 | (455) e3 = e1 % 54.19/22.34 | % 54.19/22.34 | Combining equations (397,425) yields a new equation: % 54.19/22.34 | (676) e3 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (676,455) yields a new equation: % 54.19/22.34 | (431) e1 = e0 % 54.19/22.34 | % 54.19/22.34 | Equations (431) can reduce 233 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (748) ~ (unit = e1) % 54.19/22.34 | (749) unit = e3 % 54.19/22.34 | % 54.19/22.34 | From (749) and (244) follows: % 54.19/22.34 | (750) op(e3, e4) = e4 % 54.19/22.34 | % 54.19/22.34 | From (749) and (15) follows: % 54.19/22.34 | (751) op(e3, e2) = e2 % 54.19/22.34 | % 54.19/22.34 | From (749) and (42) follows: % 54.19/22.34 | (752) op(e0, e3) = e0 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 54.19/22.34 | (323) e4 = e2 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e3, e2, e2, e1 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e1, yields: % 54.19/22.34 | (617) e2 = e1 % 54.19/22.34 | % 54.19/22.34 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 54.19/22.34 | (397) e4 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (397,323) yields a new equation: % 54.19/22.34 | (330) e2 = e0 % 54.19/22.34 | % 54.19/22.34 | Combining equations (330,617) yields a new equation: % 54.19/22.34 | (431) e1 = e0 % 54.19/22.34 | % 54.19/22.34 | Equations (431) can reduce 233 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (759) ~ (all_0_50_50 = e1) % 54.19/22.34 | (629) all_0_55_55 = e1 % 54.19/22.34 | % 54.19/22.34 | Combining equations (629,587) yields a new equation: % 54.19/22.34 | (630) e4 = e1 % 54.19/22.34 | % 54.19/22.34 | Equations (630) can reduce 110 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (763) ~ (all_0_55_55 = e4) % 54.19/22.34 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (582), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (437) all_0_41_41 = e4 % 54.19/22.34 | % 54.19/22.34 | Combining equations (403,437) yields a new equation: % 54.19/22.34 | (425) e4 = e3 % 54.19/22.34 | % 54.19/22.34 | Equations (425) can reduce 188 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (440) ~ (all_0_41_41 = e4) % 54.19/22.34 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (769), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (770) all_0_46_46 = e4 % 54.19/22.34 | % 54.19/22.34 | Combining equations (538,770) yields a new equation: % 54.19/22.34 | (397) e4 = e0 % 54.19/22.34 | % 54.19/22.34 | Equations (397) can reduce 49 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (250) ~ (all_0_46_46 = e4) % 54.19/22.34 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (774), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (775) all_0_50_50 = e4 % 54.19/22.34 | % 54.19/22.34 | Equations (775) can reduce 566 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (566) ~ (all_0_50_50 = e4) % 54.19/22.34 | (587) all_0_55_55 = e4 % 54.19/22.34 | % 54.19/22.34 | Equations (587) can reduce 763 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (780) ~ (all_0_52_52 = e4) % 54.19/22.34 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (18), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (453) all_0_41_41 = e1 % 54.19/22.34 | % 54.19/22.34 | Combining equations (403,453) yields a new equation: % 54.19/22.34 | (454) e3 = e1 % 54.19/22.34 | % 54.19/22.34 | Simplifying 454 yields: % 54.19/22.34 | (455) e3 = e1 % 54.19/22.34 | % 54.19/22.34 | Equations (455) can reduce 213 to: % 54.19/22.34 | (266) $false % 54.19/22.34 | % 54.19/22.34 |-The branch is then unsatisfiable % 54.19/22.34 |-Branch two: % 54.19/22.34 | (457) ~ (all_0_41_41 = e1) % 54.19/22.34 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 54.19/22.34 | % 54.19/22.34 | Equations (403) can reduce 457 to: % 54.19/22.34 | (213) ~ (e3 = e1) % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (781), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (789), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 54.19/22.34 | % 54.19/22.34 +-Applying beta-rule and splitting (790), into two cases. % 54.19/22.34 |-Branch one: % 54.19/22.34 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 54.19/22.34 | % 54.19/22.35 +-Applying beta-rule and splitting (791), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (792), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 54.19/22.35 | % 54.19/22.35 | Applying alpha-rule on (793) yields: % 54.19/22.35 | (794) all_0_41_41 = e0 % 54.19/22.35 | (795) all_0_58_58 = e3 % 54.19/22.35 | (407) ~ (all_0_44_44 = e3) % 54.19/22.35 | % 54.19/22.35 | Combining equations (403,794) yields a new equation: % 54.19/22.35 | (675) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Simplifying 675 yields: % 54.19/22.35 | (676) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (676) can reduce 80 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 54.19/22.35 | % 54.19/22.35 | Applying alpha-rule on (800) yields: % 54.19/22.35 | (794) all_0_41_41 = e0 % 54.19/22.35 | (795) all_0_58_58 = e3 % 54.19/22.35 | (803) ~ (all_0_55_55 = e0) % 54.19/22.35 | % 54.19/22.35 | Combining equations (403,794) yields a new equation: % 54.19/22.35 | (675) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Simplifying 675 yields: % 54.19/22.35 | (676) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (676) can reduce 80 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 54.19/22.35 | % 54.19/22.35 | Applying alpha-rule on (807) yields: % 54.19/22.35 | (654) all_0_47_47 = e1 % 54.19/22.35 | (352) all_0_52_52 = e2 % 54.19/22.35 | (810) ~ (all_0_48_48 = e2) % 54.19/22.35 | % 54.19/22.35 | Combining equations (654,522) yields a new equation: % 54.19/22.35 | (455) e3 = e1 % 54.19/22.35 | % 54.19/22.35 | Equations (455) can reduce 213 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 54.19/22.35 | % 54.19/22.35 | Applying alpha-rule on (813) yields: % 54.19/22.35 | (654) all_0_47_47 = e1 % 54.19/22.35 | (352) all_0_52_52 = e2 % 54.19/22.35 | (464) ~ (all_0_51_51 = e1) % 54.19/22.35 | % 54.19/22.35 | Combining equations (654,522) yields a new equation: % 54.19/22.35 | (455) e3 = e1 % 54.19/22.35 | % 54.19/22.35 | Equations (455) can reduce 213 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 54.19/22.35 | % 54.19/22.35 | Applying alpha-rule on (819) yields: % 54.19/22.35 | (674) all_0_47_47 = e0 % 54.19/22.35 | (624) all_0_58_58 = e2 % 54.19/22.35 | (340) ~ (all_0_49_49 = e2) % 54.19/22.35 | % 54.19/22.35 | Combining equations (674,522) yields a new equation: % 54.19/22.35 | (676) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (676) can reduce 80 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 54.19/22.35 | % 54.19/22.35 | Applying alpha-rule on (825) yields: % 54.19/22.35 | (674) all_0_47_47 = e0 % 54.19/22.35 | (624) all_0_58_58 = e2 % 54.19/22.35 | (828) ~ (all_0_56_56 = e0) % 54.19/22.35 | % 54.19/22.35 | Combining equations (674,522) yields a new equation: % 54.19/22.35 | (676) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (676) can reduce 80 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (831) ~ (all_0_46_46 = e0) % 54.19/22.35 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (133), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (833) all_0_56_56 = e2 % 54.19/22.35 | % 54.19/22.35 | Equations (833) can reduce 511 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (511) ~ (all_0_56_56 = e2) % 54.19/22.35 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (163), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (565) all_0_52_52 = e4 % 54.19/22.35 | % 54.19/22.35 | Equations (565) can reduce 11 to: % 54.19/22.35 | (838) ~ (all_0_57_57 = e4) % 54.19/22.35 | % 54.19/22.35 | Simplifying 838 yields: % 54.19/22.35 | (839) ~ (all_0_57_57 = e4) % 54.19/22.35 | % 54.19/22.35 | Equations (565) can reduce 166 to: % 54.19/22.35 | (188) ~ (e4 = e3) % 54.19/22.35 | % 54.19/22.35 | Equations (565) can reduce 72 to: % 54.19/22.35 | (49) ~ (e4 = e0) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (836), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (842) all_0_56_56 = e4 % 54.19/22.35 | % 54.19/22.35 | Equations (842) can reduce 477 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (477) ~ (all_0_56_56 = e4) % 54.19/22.35 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (171), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (265) all_0_54_54 = e4 % 54.19/22.35 | % 54.19/22.35 | Combining equations (268,265) yields a new equation: % 54.19/22.35 | (425) e4 = e3 % 54.19/22.35 | % 54.19/22.35 | Equations (425) can reduce 188 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (258) ~ (all_0_54_54 = e4) % 54.19/22.35 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (575), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (587) all_0_55_55 = e4 % 54.19/22.35 | % 54.19/22.35 | Equations (587) can reduce 153 to: % 54.19/22.35 | (476) ~ (all_0_56_56 = e4) % 54.19/22.35 | % 54.19/22.35 | Simplifying 476 yields: % 54.19/22.35 | (477) ~ (all_0_56_56 = e4) % 54.19/22.35 | % 54.19/22.35 | Equations (587) can reduce 81 to: % 54.19/22.35 | (838) ~ (all_0_57_57 = e4) % 54.19/22.35 | % 54.19/22.35 | Simplifying 838 yields: % 54.19/22.35 | (839) ~ (all_0_57_57 = e4) % 54.19/22.35 | % 54.19/22.35 | Equations (587) can reduce 3 to: % 54.19/22.35 | (450) ~ (all_0_58_58 = e4) % 54.19/22.35 | % 54.19/22.35 | Simplifying 450 yields: % 54.19/22.35 | (451) ~ (all_0_58_58 = e4) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (125), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (858) all_0_55_55 = e0 % 54.19/22.35 | % 54.19/22.35 | Combining equations (587,858) yields a new equation: % 54.19/22.35 | (481) e4 = e0 % 54.19/22.35 | % 54.19/22.35 | Simplifying 481 yields: % 54.19/22.35 | (397) e4 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (397) can reduce 49 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (803) ~ (all_0_55_55 = e0) % 54.19/22.35 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (863), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (679) all_0_56_56 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (679) can reduce 140 to: % 54.19/22.35 | (363) ~ (all_0_57_57 = e0) % 54.19/22.35 | % 54.19/22.35 | Simplifying 363 yields: % 54.19/22.35 | (364) ~ (all_0_57_57 = e0) % 54.19/22.35 | % 54.19/22.35 | Equations (679) can reduce 44 to: % 54.19/22.35 | (490) ~ (all_0_58_58 = e0) % 54.19/22.35 | % 54.19/22.35 | Simplifying 490 yields: % 54.19/22.35 | (491) ~ (all_0_58_58 = e0) % 54.19/22.35 | % 54.19/22.35 | Equations (679) can reduce 477 to: % 54.19/22.35 | (401) ~ (e4 = e0) % 54.19/22.35 | % 54.19/22.35 | Simplifying 401 yields: % 54.19/22.35 | (49) ~ (e4 = e0) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (445), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (871) all_0_57_57 = e4 % 54.19/22.35 | % 54.19/22.35 | Equations (871) can reduce 839 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (839) ~ (all_0_57_57 = e4) % 54.19/22.35 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (874), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (875) all_0_57_57 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (875) can reduce 364 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (364) ~ (all_0_57_57 = e0) % 54.19/22.35 | (647) all_0_57_57 = e1 % 54.19/22.35 | % 54.19/22.35 | Equations (647) can reduce 148 to: % 54.19/22.35 | (879) ~ (all_0_58_58 = e1) % 54.19/22.35 | % 54.19/22.35 | Simplifying 879 yields: % 54.19/22.35 | (880) ~ (all_0_58_58 = e1) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (108), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (624) all_0_58_58 = e2 % 54.19/22.35 | % 54.19/22.35 | Equations (624) can reduce 276 to: % 54.19/22.35 | (626) ~ (e3 = e2) % 54.19/22.35 | % 54.19/22.35 | Simplifying 626 yields: % 54.19/22.35 | (212) ~ (e3 = e2) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (537), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (884) all_0_49_49 = e3 % 54.19/22.35 | % 54.19/22.35 | Equations (884) can reduce 525 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (525) ~ (all_0_49_49 = e3) % 54.19/22.35 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (887), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (665) all_0_53_53 = e3 % 54.19/22.35 | % 54.19/22.35 | Equations (665) can reduce 247 to: % 54.19/22.35 | (80) ~ (e3 = e0) % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (395), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (794) all_0_41_41 = e0 % 54.19/22.35 | % 54.19/22.35 | Combining equations (403,794) yields a new equation: % 54.19/22.35 | (675) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Simplifying 675 yields: % 54.19/22.35 | (676) e3 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (676) can reduce 80 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (357) ~ (all_0_41_41 = e0) % 54.19/22.35 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (895), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (538) all_0_46_46 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (538) can reduce 831 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (831) ~ (all_0_46_46 = e0) % 54.19/22.35 | (858) all_0_55_55 = e0 % 54.19/22.35 | % 54.19/22.35 | Combining equations (587,858) yields a new equation: % 54.19/22.35 | (481) e4 = e0 % 54.19/22.35 | % 54.19/22.35 | Simplifying 481 yields: % 54.19/22.35 | (397) e4 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (397) can reduce 49 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (903) ~ (all_0_53_53 = e3) % 54.19/22.35 | (795) all_0_58_58 = e3 % 54.19/22.35 | % 54.19/22.35 | Combining equations (795,624) yields a new equation: % 54.19/22.35 | (661) e3 = e2 % 54.19/22.35 | % 54.19/22.35 | Simplifying 661 yields: % 54.19/22.35 | (662) e3 = e2 % 54.19/22.35 | % 54.19/22.35 | Equations (662) can reduce 212 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (908) ~ (all_0_58_58 = e2) % 54.19/22.35 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (909), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (910) all_0_58_58 = e4 % 54.19/22.35 | % 54.19/22.35 | Equations (910) can reduce 451 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (451) ~ (all_0_58_58 = e4) % 54.19/22.35 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (913), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (914) all_0_58_58 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (914) can reduce 491 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (491) ~ (all_0_58_58 = e0) % 54.19/22.35 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (917), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (918) all_0_58_58 = e1 % 54.19/22.35 | % 54.19/22.35 | Equations (918) can reduce 880 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (880) ~ (all_0_58_58 = e1) % 54.19/22.35 | (795) all_0_58_58 = e3 % 54.19/22.35 | % 54.19/22.35 | Equations (795) can reduce 276 to: % 54.19/22.35 | (266) $false % 54.19/22.35 | % 54.19/22.35 |-The branch is then unsatisfiable % 54.19/22.35 |-Branch two: % 54.19/22.35 | (828) ~ (all_0_56_56 = e0) % 54.19/22.35 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 54.19/22.35 | % 54.19/22.35 +-Applying beta-rule and splitting (924), into two cases. % 54.19/22.35 |-Branch one: % 54.19/22.35 | (875) all_0_57_57 = e0 % 54.19/22.35 | % 54.19/22.35 | Equations (875) can reduce 364 to: % 54.19/22.35 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (364) ~ (all_0_57_57 = e0) % 54.19/22.36 | (914) all_0_58_58 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (914) can reduce 491 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (763) ~ (all_0_55_55 = e4) % 54.19/22.36 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (764), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (842) all_0_56_56 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (842) can reduce 477 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (477) ~ (all_0_56_56 = e4) % 54.19/22.36 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (935), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (871) all_0_57_57 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (871) can reduce 839 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (839) ~ (all_0_57_57 = e4) % 54.19/22.36 | (910) all_0_58_58 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (910) can reduce 451 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (780) ~ (all_0_52_52 = e4) % 54.19/22.36 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (400), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (943) all_0_48_48 = e4 % 54.19/22.36 | % 54.19/22.36 | Combining equations (335,943) yields a new equation: % 54.19/22.36 | (323) e4 = e2 % 54.19/22.36 | % 54.19/22.36 | Equations (323) can reduce 48 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (254) ~ (all_0_48_48 = e4) % 54.19/22.36 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (947), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (565) all_0_52_52 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (565) can reduce 780 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (780) ~ (all_0_52_52 = e4) % 54.19/22.36 | (871) all_0_57_57 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (871) can reduce 81 to: % 54.19/22.36 | (763) ~ (all_0_55_55 = e4) % 54.19/22.36 | % 54.19/22.36 | Equations (871) can reduce 148 to: % 54.19/22.36 | (450) ~ (all_0_58_58 = e4) % 54.19/22.36 | % 54.19/22.36 | Simplifying 450 yields: % 54.19/22.36 | (451) ~ (all_0_58_58 = e4) % 54.19/22.36 | % 54.19/22.36 | Equations (871) can reduce 67 to: % 54.19/22.36 | (188) ~ (e4 = e3) % 54.19/22.36 | % 54.19/22.36 | Equations (871) can reduce 344 to: % 54.19/22.36 | (48) ~ (e4 = e2) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (231), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (775) all_0_50_50 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (775) can reduce 101 to: % 54.19/22.36 | (958) ~ (all_0_52_52 = e4) % 54.19/22.36 | % 54.19/22.36 | Simplifying 958 yields: % 54.19/22.36 | (780) ~ (all_0_52_52 = e4) % 54.19/22.36 | % 54.19/22.36 | Equations (775) can reduce 121 to: % 54.19/22.36 | (49) ~ (e4 = e0) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (537), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (884) all_0_49_49 = e3 % 54.19/22.36 | % 54.19/22.36 | Equations (884) can reduce 525 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (525) ~ (all_0_49_49 = e3) % 54.19/22.36 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (887), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (665) all_0_53_53 = e3 % 54.19/22.36 | % 54.19/22.36 | Equations (665) can reduce 65 to: % 54.19/22.36 | (525) ~ (all_0_49_49 = e3) % 54.19/22.36 | % 54.19/22.36 | Equations (665) can reduce 46 to: % 54.19/22.36 | (166) ~ (all_0_52_52 = e3) % 54.19/22.36 | % 54.19/22.36 | Equations (665) can reduce 10 to: % 54.19/22.36 | (275) ~ (all_0_58_58 = e3) % 54.19/22.36 | % 54.19/22.36 | Simplifying 275 yields: % 54.19/22.36 | (276) ~ (all_0_58_58 = e3) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (54), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (583) all_0_49_49 = e2 % 54.19/22.36 | % 54.19/22.36 | Equations (583) can reduce 340 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (340) ~ (all_0_49_49 = e2) % 54.19/22.36 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (586), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (974) all_0_49_49 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (974) can reduce 256 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (256) ~ (all_0_49_49 = e4) % 54.19/22.36 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (977), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (978) all_0_49_49 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (978) can reduce 487 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (487) ~ (all_0_49_49 = e0) % 54.19/22.36 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (981), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (671) all_0_49_49 = e1 % 54.19/22.36 | % 54.19/22.36 | Equations (671) can reduce 208 to: % 54.19/22.36 | (549) ~ (all_0_46_46 = e1) % 54.19/22.36 | % 54.19/22.36 | Equations (671) can reduce 119 to: % 54.19/22.36 | (879) ~ (all_0_58_58 = e1) % 54.19/22.36 | % 54.19/22.36 | Simplifying 879 yields: % 54.19/22.36 | (880) ~ (all_0_58_58 = e1) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (355), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (565) all_0_52_52 = e4 % 54.19/22.36 | % 54.19/22.36 | Equations (565) can reduce 780 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (780) ~ (all_0_52_52 = e4) % 54.19/22.36 | (642) all_0_52_52 = e1 % 54.19/22.36 | % 54.19/22.36 | Equations (642) can reduce 780 to: % 54.19/22.36 | (602) ~ (e4 = e1) % 54.19/22.36 | % 54.19/22.36 | Simplifying 602 yields: % 54.19/22.36 | (110) ~ (e4 = e1) % 54.19/22.36 | % 54.19/22.36 | Equations (642) can reduce 166 to: % 54.19/22.36 | (467) ~ (e3 = e1) % 54.19/22.36 | % 54.19/22.36 | Simplifying 467 yields: % 54.19/22.36 | (213) ~ (e3 = e1) % 54.19/22.36 | % 54.19/22.36 | Equations (642) can reduce 72 to: % 54.19/22.36 | (233) ~ (e1 = e0) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (108), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (624) all_0_58_58 = e2 % 54.19/22.36 | % 54.19/22.36 | Equations (624) can reduce 491 to: % 54.19/22.36 | (128) ~ (e2 = e0) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (18), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (453) all_0_41_41 = e1 % 54.19/22.36 | % 54.19/22.36 | Combining equations (403,453) yields a new equation: % 54.19/22.36 | (454) e3 = e1 % 54.19/22.36 | % 54.19/22.36 | Simplifying 454 yields: % 54.19/22.36 | (455) e3 = e1 % 54.19/22.36 | % 54.19/22.36 | Equations (455) can reduce 213 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (457) ~ (all_0_41_41 = e1) % 54.19/22.36 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (595), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (545) all_0_46_46 = e1 % 54.19/22.36 | % 54.19/22.36 | Equations (545) can reduce 549 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (549) ~ (all_0_46_46 = e1) % 54.19/22.36 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (600), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (601) all_0_50_50 = e1 % 54.19/22.36 | % 54.19/22.36 | Combining equations (775,601) yields a new equation: % 54.19/22.36 | (636) e4 = e1 % 54.19/22.36 | % 54.19/22.36 | Simplifying 636 yields: % 54.19/22.36 | (630) e4 = e1 % 54.19/22.36 | % 54.19/22.36 | Equations (630) can reduce 110 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (759) ~ (all_0_50_50 = e1) % 54.19/22.36 | (629) all_0_55_55 = e1 % 54.19/22.36 | % 54.19/22.36 | Equations (629) can reduce 153 to: % 54.19/22.36 | (465) ~ (all_0_56_56 = e1) % 54.19/22.36 | % 54.19/22.36 | Simplifying 465 yields: % 54.19/22.36 | (466) ~ (all_0_56_56 = e1) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (125), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (858) all_0_55_55 = e0 % 54.19/22.36 | % 54.19/22.36 | Combining equations (629,858) yields a new equation: % 54.19/22.36 | (546) e1 = e0 % 54.19/22.36 | % 54.19/22.36 | Simplifying 546 yields: % 54.19/22.36 | (431) e1 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (431) can reduce 233 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (803) ~ (all_0_55_55 = e0) % 54.19/22.36 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (863), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (679) all_0_56_56 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (679) can reduce 272 to: % 54.19/22.36 | (541) ~ (e3 = e0) % 54.19/22.36 | % 54.19/22.36 | Simplifying 541 yields: % 54.19/22.36 | (80) ~ (e3 = e0) % 54.19/22.36 | % 54.19/22.36 | Equations (679) can reduce 466 to: % 54.19/22.36 | (435) ~ (e1 = e0) % 54.19/22.36 | % 54.19/22.36 | Simplifying 435 yields: % 54.19/22.36 | (233) ~ (e1 = e0) % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (395), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (794) all_0_41_41 = e0 % 54.19/22.36 | % 54.19/22.36 | Combining equations (403,794) yields a new equation: % 54.19/22.36 | (675) e3 = e0 % 54.19/22.36 | % 54.19/22.36 | Simplifying 675 yields: % 54.19/22.36 | (676) e3 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (676) can reduce 80 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (357) ~ (all_0_41_41 = e0) % 54.19/22.36 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (895), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (538) all_0_46_46 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (538) can reduce 831 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (831) ~ (all_0_46_46 = e0) % 54.19/22.36 | (858) all_0_55_55 = e0 % 54.19/22.36 | % 54.19/22.36 | Combining equations (629,858) yields a new equation: % 54.19/22.36 | (546) e1 = e0 % 54.19/22.36 | % 54.19/22.36 | Simplifying 546 yields: % 54.19/22.36 | (431) e1 = e0 % 54.19/22.36 | % 54.19/22.36 | Equations (431) can reduce 233 to: % 54.19/22.36 | (266) $false % 54.19/22.36 | % 54.19/22.36 |-The branch is then unsatisfiable % 54.19/22.36 |-Branch two: % 54.19/22.36 | (828) ~ (all_0_56_56 = e0) % 54.19/22.36 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 54.19/22.36 | % 54.19/22.36 +-Applying beta-rule and splitting (924), into two cases. % 54.19/22.36 |-Branch one: % 54.19/22.36 | (875) all_0_57_57 = e0 % 54.19/22.36 | % 54.19/22.36 | Combining equations (871,875) yields a new equation: % 54.19/22.36 | (481) e4 = e0 % 54.19/22.36 | % 54.19/22.36 | Simplifying 481 yields: % 54.19/22.36 | (397) e4 = e0 % 54.19/22.36 | % 54.19/22.37 | Equations (397) can reduce 49 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (364) ~ (all_0_57_57 = e0) % 54.19/22.37 | (914) all_0_58_58 = e0 % 54.19/22.37 | % 54.19/22.37 | Combining equations (914,624) yields a new equation: % 54.19/22.37 | (330) e2 = e0 % 54.19/22.37 | % 54.19/22.37 | Equations (330) can reduce 128 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (908) ~ (all_0_58_58 = e2) % 54.19/22.37 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (909), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (910) all_0_58_58 = e4 % 54.19/22.37 | % 54.19/22.37 | Equations (910) can reduce 451 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (451) ~ (all_0_58_58 = e4) % 54.19/22.37 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (913), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (914) all_0_58_58 = e0 % 54.19/22.37 | % 54.19/22.37 | Equations (914) can reduce 491 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (491) ~ (all_0_58_58 = e0) % 54.19/22.37 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (917), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (918) all_0_58_58 = e1 % 54.19/22.37 | % 54.19/22.37 | Equations (918) can reduce 880 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (880) ~ (all_0_58_58 = e1) % 54.19/22.37 | (795) all_0_58_58 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (795) can reduce 276 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (1064) ~ (all_0_49_49 = e1) % 54.19/22.37 | (884) all_0_49_49 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (884) can reduce 525 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (903) ~ (all_0_53_53 = e3) % 54.19/22.37 | (795) all_0_58_58 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (795) can reduce 276 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (566) ~ (all_0_50_50 = e4) % 54.19/22.37 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (62), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (321) all_0_38_38 = e4 % 54.19/22.37 | % 54.19/22.37 | Combining equations (292,321) yields a new equation: % 54.19/22.37 | (323) e4 = e2 % 54.19/22.37 | % 54.19/22.37 | Equations (323) can reduce 48 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (325) ~ (all_0_38_38 = e4) % 54.19/22.37 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (582), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (437) all_0_41_41 = e4 % 54.19/22.37 | % 54.19/22.37 | Combining equations (403,437) yields a new equation: % 54.19/22.37 | (425) e4 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (425) can reduce 188 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (440) ~ (all_0_41_41 = e4) % 54.19/22.37 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (769), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (770) all_0_46_46 = e4 % 54.19/22.37 | % 54.19/22.37 | Equations (770) can reduce 250 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (250) ~ (all_0_46_46 = e4) % 54.19/22.37 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (774), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (775) all_0_50_50 = e4 % 54.19/22.37 | % 54.19/22.37 | Equations (775) can reduce 566 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (566) ~ (all_0_50_50 = e4) % 54.19/22.37 | (587) all_0_55_55 = e4 % 54.19/22.37 | % 54.19/22.37 | Equations (587) can reduce 763 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (1091) ~ (all_0_47_47 = e3) % 54.19/22.37 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (1092), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (660) all_0_51_51 = e3 % 54.19/22.37 | % 54.19/22.37 | Combining equations (504,660) yields a new equation: % 54.19/22.37 | (662) e3 = e2 % 54.19/22.37 | % 54.19/22.37 | Equations (662) can reduce 212 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (664) ~ (all_0_51_51 = e3) % 54.19/22.37 | (1097) all_0_56_56 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (1097) can reduce 272 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (1099) ~ (all_0_51_51 = e2) % 54.19/22.37 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (1100), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (1101) all_0_51_51 = e4 % 54.19/22.37 | % 54.19/22.37 | Equations (1101) can reduce 475 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (475) ~ (all_0_51_51 = e4) % 54.19/22.37 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (385), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (1105) all_0_47_47 = e2 % 54.19/22.37 | % 54.19/22.37 | Equations (1105) can reduce 338 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (338) ~ (all_0_47_47 = e2) % 54.19/22.37 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (1104), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (1109) all_0_51_51 = e1 % 54.19/22.37 | % 54.19/22.37 | Equations (1109) can reduce 464 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (464) ~ (all_0_51_51 = e1) % 54.19/22.37 | (660) all_0_51_51 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (660) can reduce 59 to: % 54.19/22.37 | (411) ~ (all_0_50_50 = e3) % 54.19/22.37 | % 54.19/22.37 | Equations (660) can reduce 6 to: % 54.19/22.37 | (1114) ~ (all_0_53_53 = e3) % 54.19/22.37 | % 54.19/22.37 | Simplifying 1114 yields: % 54.19/22.37 | (903) ~ (all_0_53_53 = e3) % 54.19/22.37 | % 54.19/22.37 | Equations (660) can reduce 475 to: % 54.19/22.37 | (277) ~ (e4 = e3) % 54.19/22.37 | % 54.19/22.37 | Simplifying 277 yields: % 54.19/22.37 | (188) ~ (e4 = e3) % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (189), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (532) all_0_44_44 = e3 % 54.19/22.37 | % 54.19/22.37 | Combining equations (446,532) yields a new equation: % 54.19/22.37 | (424) e4 = e3 % 54.19/22.37 | % 54.19/22.37 | Simplifying 424 yields: % 54.19/22.37 | (425) e4 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (425) can reduce 188 to: % 54.19/22.37 | (266) $false % 54.19/22.37 | % 54.19/22.37 |-The branch is then unsatisfiable % 54.19/22.37 |-Branch two: % 54.19/22.37 | (407) ~ (all_0_44_44 = e3) % 54.19/22.37 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 54.19/22.37 | % 54.19/22.37 +-Applying beta-rule and splitting (537), into two cases. % 54.19/22.37 |-Branch one: % 54.19/22.37 | (884) all_0_49_49 = e3 % 54.19/22.37 | % 54.19/22.37 | Equations (884) can reduce 208 to: % 54.19/22.37 | (409) ~ (all_0_46_46 = e3) % 54.19/22.37 | % 54.19/22.37 | Equations (884) can reduce 86 to: % 54.19/22.37 | (1091) ~ (all_0_47_47 = e3) % 54.19/22.37 | % 54.19/22.37 | Equations (884) can reduce 65 to: % 54.58/22.37 | (1114) ~ (all_0_53_53 = e3) % 54.58/22.37 | % 54.58/22.37 | Simplifying 1114 yields: % 54.58/22.37 | (903) ~ (all_0_53_53 = e3) % 54.58/22.37 | % 54.58/22.37 | Equations (884) can reduce 119 to: % 54.58/22.37 | (275) ~ (all_0_58_58 = e3) % 54.58/22.37 | % 54.58/22.37 | Simplifying 275 yields: % 54.58/22.37 | (276) ~ (all_0_58_58 = e3) % 54.58/22.37 | % 54.58/22.37 | Equations (884) can reduce 256 to: % 54.58/22.37 | (277) ~ (e4 = e3) % 54.58/22.37 | % 54.58/22.37 | Simplifying 277 yields: % 54.58/22.37 | (188) ~ (e4 = e3) % 54.58/22.37 | % 54.58/22.37 | Equations (884) can reduce 340 to: % 54.58/22.37 | (212) ~ (e3 = e2) % 54.58/22.37 | % 54.58/22.37 | Equations (884) can reduce 487 to: % 54.58/22.37 | (80) ~ (e3 = e0) % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (135), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (545) all_0_46_46 = e1 % 54.58/22.37 | % 54.58/22.37 | Equations (545) can reduce 35 to: % 54.58/22.37 | (1136) ~ (all_0_50_50 = e1) % 54.58/22.37 | % 54.58/22.37 | Simplifying 1136 yields: % 54.58/22.37 | (759) ~ (all_0_50_50 = e1) % 54.58/22.37 | % 54.58/22.37 | Equations (545) can reduce 250 to: % 54.58/22.37 | (602) ~ (e4 = e1) % 54.58/22.37 | % 54.58/22.37 | Simplifying 602 yields: % 54.58/22.37 | (110) ~ (e4 = e1) % 54.58/22.37 | % 54.58/22.37 | Equations (545) can reduce 409 to: % 54.58/22.37 | (467) ~ (e3 = e1) % 54.58/22.37 | % 54.58/22.37 | Simplifying 467 yields: % 54.58/22.37 | (213) ~ (e3 = e1) % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (184), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (538) all_0_46_46 = e0 % 54.58/22.37 | % 54.58/22.37 | Combining equations (538,545) yields a new equation: % 54.58/22.37 | (431) e1 = e0 % 54.58/22.37 | % 54.58/22.37 | Equations (431) can reduce 233 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (831) ~ (all_0_46_46 = e0) % 54.58/22.37 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 54.58/22.37 | % 54.58/22.37 | Equations (545) can reduce 831 to: % 54.58/22.37 | (233) ~ (e1 = e0) % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (381), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (504) all_0_51_51 = e2 % 54.58/22.37 | % 54.58/22.37 | Combining equations (504,660) yields a new equation: % 54.58/22.37 | (662) e3 = e2 % 54.58/22.37 | % 54.58/22.37 | Equations (662) can reduce 212 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (1099) ~ (all_0_51_51 = e2) % 54.58/22.37 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (1152), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (352) all_0_52_52 = e2 % 54.58/22.37 | % 54.58/22.37 | Equations (352) can reduce 342 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (342) ~ (all_0_52_52 = e2) % 54.58/22.37 | (607) all_0_53_53 = e2 % 54.58/22.37 | % 54.58/22.37 | Equations (607) can reduce 903 to: % 54.58/22.37 | (626) ~ (e3 = e2) % 54.58/22.37 | % 54.58/22.37 | Simplifying 626 yields: % 54.58/22.37 | (212) ~ (e3 = e2) % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (395), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (794) all_0_41_41 = e0 % 54.58/22.37 | % 54.58/22.37 | Combining equations (403,794) yields a new equation: % 54.58/22.37 | (675) e3 = e0 % 54.58/22.37 | % 54.58/22.37 | Simplifying 675 yields: % 54.58/22.37 | (676) e3 = e0 % 54.58/22.37 | % 54.58/22.37 | Equations (676) can reduce 80 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (357) ~ (all_0_41_41 = e0) % 54.58/22.37 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (160), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (601) all_0_50_50 = e1 % 54.58/22.37 | % 54.58/22.37 | Equations (601) can reduce 759 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (759) ~ (all_0_50_50 = e1) % 54.58/22.37 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (112), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (635) all_0_44_44 = e1 % 54.58/22.37 | % 54.58/22.37 | Combining equations (446,635) yields a new equation: % 54.58/22.37 | (636) e4 = e1 % 54.58/22.37 | % 54.58/22.37 | Simplifying 636 yields: % 54.58/22.37 | (630) e4 = e1 % 54.58/22.37 | % 54.58/22.37 | Equations (630) can reduce 110 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (639) ~ (all_0_44_44 = e1) % 54.58/22.37 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 54.58/22.37 | % 54.58/22.37 | Equations (446) can reduce 639 to: % 54.58/22.37 | (110) ~ (e4 = e1) % 54.58/22.37 | % 54.58/22.37 +-Applying beta-rule and splitting (895), into two cases. % 54.58/22.37 |-Branch one: % 54.58/22.37 | (538) all_0_46_46 = e0 % 54.58/22.37 | % 54.58/22.37 | Combining equations (538,545) yields a new equation: % 54.58/22.37 | (431) e1 = e0 % 54.58/22.37 | % 54.58/22.37 | Equations (431) can reduce 233 to: % 54.58/22.37 | (266) $false % 54.58/22.37 | % 54.58/22.37 |-The branch is then unsatisfiable % 54.58/22.37 |-Branch two: % 54.58/22.37 | (831) ~ (all_0_46_46 = e0) % 54.58/22.38 | (858) all_0_55_55 = e0 % 54.58/22.38 | % 54.58/22.38 | Equations (858) can reduce 153 to: % 54.58/22.38 | (1181) ~ (all_0_56_56 = e0) % 54.58/22.38 | % 54.58/22.38 | Simplifying 1181 yields: % 54.58/22.38 | (828) ~ (all_0_56_56 = e0) % 54.58/22.38 | % 54.58/22.38 | Equations (858) can reduce 270 to: % 54.58/22.38 | (541) ~ (e3 = e0) % 54.58/22.38 | % 54.58/22.38 | Simplifying 541 yields: % 54.58/22.38 | (80) ~ (e3 = e0) % 54.58/22.38 | % 54.58/22.38 +-Applying beta-rule and splitting (133), into two cases. % 54.58/22.38 |-Branch one: % 54.58/22.38 | (833) all_0_56_56 = e2 % 54.58/22.38 | % 54.58/22.38 | Equations (833) can reduce 44 to: % 54.58/22.38 | (1186) ~ (all_0_58_58 = e2) % 54.58/22.38 | % 54.58/22.38 | Simplifying 1186 yields: % 54.58/22.38 | (908) ~ (all_0_58_58 = e2) % 54.58/22.38 | % 54.58/22.38 | Equations (833) can reduce 477 to: % 54.58/22.38 | (327) ~ (e4 = e2) % 54.58/22.38 | % 54.58/22.38 | Simplifying 327 yields: % 54.58/22.38 | (48) ~ (e4 = e2) % 54.58/22.38 | % 54.58/22.38 | Equations (833) can reduce 466 to: % 54.58/22.38 | (122) ~ (e2 = e1) % 54.58/22.38 | % 54.58/22.38 | Equations (833) can reduce 828 to: % 54.58/22.38 | (128) ~ (e2 = e0) % 54.58/22.38 | % 54.58/22.38 +-Applying beta-rule and splitting (108), into two cases. % 54.58/22.38 |-Branch one: % 54.58/22.38 | (624) all_0_58_58 = e2 % 54.58/22.38 | % 54.58/22.38 | Equations (624) can reduce 908 to: % 54.58/22.38 | (266) $false % 54.58/22.38 | % 54.58/22.38 |-The branch is then unsatisfiable % 54.58/22.38 |-Branch two: % 54.58/22.38 | (908) ~ (all_0_58_58 = e2) % 54.58/22.38 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.58/22.38 | % 54.58/22.38 +-Applying beta-rule and splitting (163), into two cases. % 54.58/22.38 |-Branch one: % 54.58/22.38 | (565) all_0_52_52 = e4 % 54.58/22.38 | % 54.58/22.38 +-Applying beta-rule and splitting (1168), into two cases. % 54.58/22.38 |-Branch one: % 54.58/22.38 | (1109) all_0_51_51 = e1 % 54.58/22.38 | % 54.58/22.38 | Combining equations (660,1109) yields a new equation: % 54.58/22.38 | (454) e3 = e1 % 54.58/22.38 | % 54.58/22.38 | Simplifying 454 yields: % 54.58/22.38 | (455) e3 = e1 % 54.58/22.38 | % 54.58/22.38 | Equations (455) can reduce 213 to: % 54.58/22.38 | (266) $false % 54.58/22.38 | % 54.58/22.38 |-The branch is then unsatisfiable % 54.58/22.38 |-Branch two: % 54.58/22.38 | (464) ~ (all_0_51_51 = e1) % 54.58/22.38 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 54.58/22.38 | % 54.58/22.38 +-Applying beta-rule and splitting (1202), into two cases. % 54.58/22.38 |-Branch one: % 54.58/22.38 | (642) all_0_52_52 = e1 % 54.58/22.38 | % 54.58/22.38 | Combining equations (565,642) yields a new equation: % 54.58/22.38 | (636) e4 = e1 % 54.58/22.38 | % 54.58/22.38 | Simplifying 636 yields: % 54.58/22.38 | (630) e4 = e1 % 54.58/22.38 | % 54.58/22.38 | Equations (630) can reduce 110 to: % 54.58/22.38 | (266) $false % 54.58/22.38 | % 54.58/22.38 |-The branch is then unsatisfiable % 54.58/22.38 |-Branch two: % 54.58/22.38 | (646) ~ (all_0_52_52 = e1) % 54.58/22.38 | (1208) all_0_53_53 = e1 % 54.58/22.38 | % 54.58/22.38 | Combining equations (607,1208) yields a new equation: % 54.58/22.38 | (616) e2 = e1 % 54.58/22.38 | % 54.58/22.38 | Simplifying 616 yields: % 54.58/22.38 | (617) e2 = e1 % 54.58/22.38 | % 54.58/22.38 | Equations (617) can reduce 122 to: % 54.58/22.38 | (266) $false % 54.58/22.38 | % 54.58/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (780) ~ (all_0_52_52 = e4) % 54.61/22.38 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (62), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (321) all_0_38_38 = e4 % 54.61/22.38 | % 54.61/22.38 | Combining equations (292,321) yields a new equation: % 54.61/22.38 | (323) e4 = e2 % 54.61/22.38 | % 54.61/22.38 | Equations (323) can reduce 48 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (325) ~ (all_0_38_38 = e4) % 54.61/22.38 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.61/22.38 | % 54.61/22.38 | Equations (292) can reduce 325 to: % 54.61/22.38 | (327) ~ (e4 = e2) % 54.61/22.38 | % 54.61/22.38 | Simplifying 327 yields: % 54.61/22.38 | (48) ~ (e4 = e2) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (231), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (775) all_0_50_50 = e4 % 54.61/22.38 | % 54.61/22.38 | Equations (775) can reduce 101 to: % 54.61/22.38 | (958) ~ (all_0_52_52 = e4) % 54.61/22.38 | % 54.61/22.38 | Simplifying 958 yields: % 54.61/22.38 | (780) ~ (all_0_52_52 = e4) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (832), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (674) all_0_47_47 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (674) can reduce 1091 to: % 54.61/22.38 | (541) ~ (e3 = e0) % 54.61/22.38 | % 54.61/22.38 | Simplifying 541 yields: % 54.61/22.38 | (80) ~ (e3 = e0) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (355), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (565) all_0_52_52 = e4 % 54.61/22.38 | % 54.61/22.38 | Equations (565) can reduce 780 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (780) ~ (all_0_52_52 = e4) % 54.61/22.38 | (642) all_0_52_52 = e1 % 54.61/22.38 | % 54.61/22.38 | Equations (642) can reduce 72 to: % 54.61/22.38 | (233) ~ (e1 = e0) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (216), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (629) all_0_55_55 = e1 % 54.61/22.38 | % 54.61/22.38 | Combining equations (858,629) yields a new equation: % 54.61/22.38 | (431) e1 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (431) can reduce 233 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (632) ~ (all_0_55_55 = e1) % 54.61/22.38 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.61/22.38 | % 54.61/22.38 | Equations (858) can reduce 632 to: % 54.61/22.38 | (435) ~ (e1 = e0) % 54.61/22.38 | % 54.61/22.38 | Simplifying 435 yields: % 54.61/22.38 | (233) ~ (e1 = e0) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (781), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (789), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (790), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (791), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (792), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 54.61/22.38 | % 54.61/22.38 | Applying alpha-rule on (793) yields: % 54.61/22.38 | (794) all_0_41_41 = e0 % 54.61/22.38 | (795) all_0_58_58 = e3 % 54.61/22.38 | (407) ~ (all_0_44_44 = e3) % 54.61/22.38 | % 54.61/22.38 | Combining equations (794,403) yields a new equation: % 54.61/22.38 | (676) e3 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (676) can reduce 80 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 54.61/22.38 | % 54.61/22.38 | Applying alpha-rule on (800) yields: % 54.61/22.38 | (794) all_0_41_41 = e0 % 54.61/22.38 | (795) all_0_58_58 = e3 % 54.61/22.38 | (803) ~ (all_0_55_55 = e0) % 54.61/22.38 | % 54.61/22.38 | Combining equations (794,403) yields a new equation: % 54.61/22.38 | (676) e3 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (676) can reduce 80 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 54.61/22.38 | % 54.61/22.38 | Applying alpha-rule on (807) yields: % 54.61/22.38 | (654) all_0_47_47 = e1 % 54.61/22.38 | (352) all_0_52_52 = e2 % 54.61/22.38 | (810) ~ (all_0_48_48 = e2) % 54.61/22.38 | % 54.61/22.38 | Combining equations (674,654) yields a new equation: % 54.61/22.38 | (431) e1 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (431) can reduce 233 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 54.61/22.38 | % 54.61/22.38 | Applying alpha-rule on (813) yields: % 54.61/22.38 | (654) all_0_47_47 = e1 % 54.61/22.38 | (352) all_0_52_52 = e2 % 54.61/22.38 | (464) ~ (all_0_51_51 = e1) % 54.61/22.38 | % 54.61/22.38 | Combining equations (674,654) yields a new equation: % 54.61/22.38 | (431) e1 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (431) can reduce 233 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 54.61/22.38 | % 54.61/22.38 | Applying alpha-rule on (819) yields: % 54.61/22.38 | (674) all_0_47_47 = e0 % 54.61/22.38 | (624) all_0_58_58 = e2 % 54.61/22.38 | (340) ~ (all_0_49_49 = e2) % 54.61/22.38 | % 54.61/22.38 | Equations (624) can reduce 908 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 54.61/22.38 | % 54.61/22.38 | Applying alpha-rule on (825) yields: % 54.61/22.38 | (674) all_0_47_47 = e0 % 54.61/22.38 | (624) all_0_58_58 = e2 % 54.61/22.38 | (828) ~ (all_0_56_56 = e0) % 54.61/22.38 | % 54.61/22.38 | Equations (624) can reduce 908 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (678) ~ (all_0_47_47 = e0) % 54.61/22.38 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (1278), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (1279) all_0_48_48 = e0 % 54.61/22.38 | % 54.61/22.38 | Combining equations (335,1279) yields a new equation: % 54.61/22.38 | (391) e2 = e0 % 54.61/22.38 | % 54.61/22.38 | Simplifying 391 yields: % 54.61/22.38 | (330) e2 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (330) can reduce 128 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (1283) ~ (all_0_48_48 = e0) % 54.61/22.38 | (978) all_0_49_49 = e0 % 54.61/22.38 | % 54.61/22.38 | Combining equations (884,978) yields a new equation: % 54.61/22.38 | (675) e3 = e0 % 54.61/22.38 | % 54.61/22.38 | Simplifying 675 yields: % 54.61/22.38 | (676) e3 = e0 % 54.61/22.38 | % 54.61/22.38 | Equations (676) can reduce 80 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (566) ~ (all_0_50_50 = e4) % 54.61/22.38 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (1071), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (1101) all_0_51_51 = e4 % 54.61/22.38 | % 54.61/22.38 | Combining equations (660,1101) yields a new equation: % 54.61/22.38 | (425) e4 = e3 % 54.61/22.38 | % 54.61/22.38 | Equations (425) can reduce 188 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (475) ~ (all_0_51_51 = e4) % 54.61/22.38 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (1294), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (565) all_0_52_52 = e4 % 54.61/22.38 | % 54.61/22.38 | Equations (565) can reduce 780 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (780) ~ (all_0_52_52 = e4) % 54.61/22.38 | (1298) all_0_53_53 = e4 % 54.61/22.38 | % 54.61/22.38 | Combining equations (607,1298) yields a new equation: % 54.61/22.38 | (323) e4 = e2 % 54.61/22.38 | % 54.61/22.38 | Equations (323) can reduce 48 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (511) ~ (all_0_56_56 = e2) % 54.61/22.38 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.61/22.38 | % 54.61/22.38 +-Applying beta-rule and splitting (1108), into two cases. % 54.61/22.38 |-Branch one: % 54.61/22.38 | (504) all_0_51_51 = e2 % 54.61/22.38 | % 54.61/22.38 | Combining equations (660,504) yields a new equation: % 54.61/22.38 | (661) e3 = e2 % 54.61/22.38 | % 54.61/22.38 | Simplifying 661 yields: % 54.61/22.38 | (662) e3 = e2 % 54.61/22.38 | % 54.61/22.38 | Equations (662) can reduce 212 to: % 54.61/22.38 | (266) $false % 54.61/22.38 | % 54.61/22.38 |-The branch is then unsatisfiable % 54.61/22.38 |-Branch two: % 54.61/22.38 | (1099) ~ (all_0_51_51 = e2) % 54.61/22.38 | (833) all_0_56_56 = e2 % 54.61/22.38 | % 54.61/22.38 | Equations (833) can reduce 511 to: % 54.61/22.38 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (549) ~ (all_0_46_46 = e1) % 54.61/22.39 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (1108), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (504) all_0_51_51 = e2 % 54.61/22.39 | % 54.61/22.39 | Combining equations (660,504) yields a new equation: % 54.61/22.39 | (661) e3 = e2 % 54.61/22.39 | % 54.61/22.39 | Simplifying 661 yields: % 54.61/22.39 | (662) e3 = e2 % 54.61/22.39 | % 54.61/22.39 | Equations (662) can reduce 212 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (1099) ~ (all_0_51_51 = e2) % 54.61/22.39 | (833) all_0_56_56 = e2 % 54.61/22.39 | % 54.61/22.39 | Equations (833) can reduce 44 to: % 54.61/22.39 | (1186) ~ (all_0_58_58 = e2) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1186 yields: % 54.61/22.39 | (908) ~ (all_0_58_58 = e2) % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (108), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (624) all_0_58_58 = e2 % 54.61/22.39 | % 54.61/22.39 | Equations (624) can reduce 908 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (908) ~ (all_0_58_58 = e2) % 54.61/22.39 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (909), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (910) all_0_58_58 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (910) can reduce 451 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (451) ~ (all_0_58_58 = e4) % 54.61/22.39 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (913), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (914) all_0_58_58 = e0 % 54.61/22.39 | % 54.61/22.39 | Equations (914) can reduce 491 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (491) ~ (all_0_58_58 = e0) % 54.61/22.39 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (917), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (918) all_0_58_58 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (918) can reduce 3 to: % 54.61/22.39 | (632) ~ (all_0_55_55 = e1) % 54.61/22.39 | % 54.61/22.39 | Equations (918) can reduce 276 to: % 54.61/22.39 | (467) ~ (e3 = e1) % 54.61/22.39 | % 54.61/22.39 | Simplifying 467 yields: % 54.61/22.39 | (213) ~ (e3 = e1) % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (18), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (453) all_0_41_41 = e1 % 54.61/22.39 | % 54.61/22.39 | Combining equations (403,453) yields a new equation: % 54.61/22.39 | (454) e3 = e1 % 54.61/22.39 | % 54.61/22.39 | Simplifying 454 yields: % 54.61/22.39 | (455) e3 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (455) can reduce 213 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (457) ~ (all_0_41_41 = e1) % 54.61/22.39 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (595), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (545) all_0_46_46 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (545) can reduce 549 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (549) ~ (all_0_46_46 = e1) % 54.61/22.39 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (600), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (601) all_0_50_50 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (601) can reduce 411 to: % 54.61/22.39 | (467) ~ (e3 = e1) % 54.61/22.39 | % 54.61/22.39 | Simplifying 467 yields: % 54.61/22.39 | (213) ~ (e3 = e1) % 54.61/22.39 | % 54.61/22.39 | Equations (601) can reduce 302 to: % 54.61/22.39 | (604) ~ (e2 = e1) % 54.61/22.39 | % 54.61/22.39 | Simplifying 604 yields: % 54.61/22.39 | (122) ~ (e2 = e1) % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (550), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (654) all_0_47_47 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (654) can reduce 462 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (462) ~ (all_0_47_47 = e1) % 54.61/22.39 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (659), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (615) all_0_48_48 = e1 % 54.61/22.39 | % 54.61/22.39 | Combining equations (335,615) yields a new equation: % 54.61/22.39 | (616) e2 = e1 % 54.61/22.39 | % 54.61/22.39 | Simplifying 616 yields: % 54.61/22.39 | (617) e2 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (617) can reduce 122 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (619) ~ (all_0_48_48 = e1) % 54.61/22.39 | (671) all_0_49_49 = e1 % 54.61/22.39 | % 54.61/22.39 | Combining equations (884,671) yields a new equation: % 54.61/22.39 | (454) e3 = e1 % 54.61/22.39 | % 54.61/22.39 | Simplifying 454 yields: % 54.61/22.39 | (455) e3 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (455) can reduce 213 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (759) ~ (all_0_50_50 = e1) % 54.61/22.39 | (629) all_0_55_55 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (629) can reduce 632 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (880) ~ (all_0_58_58 = e1) % 54.61/22.39 | (795) all_0_58_58 = e3 % 54.61/22.39 | % 54.61/22.39 | Equations (795) can reduce 276 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (525) ~ (all_0_49_49 = e3) % 54.61/22.39 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (887), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (665) all_0_53_53 = e3 % 54.61/22.39 | % 54.61/22.39 | Equations (665) can reduce 903 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (903) ~ (all_0_53_53 = e3) % 54.61/22.39 | (795) all_0_58_58 = e3 % 54.61/22.39 | % 54.61/22.39 | Equations (795) can reduce 276 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (1377) ~ (all_0_39_39 = e4) % 54.61/22.39 | (1378) all_0_40_40 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (1378) can reduce 447 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (1380) ~ (all_0_42_42 = e1) % 54.61/22.39 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (1381), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (430) all_0_43_43 = e1 % 54.61/22.39 | % 54.61/22.39 | Combining equations (356,430) yields a new equation: % 54.61/22.39 | (431) e1 = e0 % 54.61/22.39 | % 54.61/22.39 | Equations (431) can reduce 233 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (433) ~ (all_0_43_43 = e1) % 54.61/22.39 | (635) all_0_44_44 = e1 % 54.61/22.39 | % 54.61/22.39 | Combining equations (446,635) yields a new equation: % 54.61/22.39 | (636) e4 = e1 % 54.61/22.39 | % 54.61/22.39 | Simplifying 636 yields: % 54.61/22.39 | (630) e4 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (630) can reduce 110 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (1390) ~ (all_0_44_44 = e4) % 54.61/22.39 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (441), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (1392) all_0_42_42 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (1392) can reduce 145 to: % 54.61/22.39 | (1377) ~ (all_0_39_39 = e4) % 54.61/22.39 | % 54.61/22.39 | Equations (1392) can reduce 198 to: % 54.61/22.39 | (251) ~ (all_0_47_47 = e4) % 54.61/22.39 | % 54.61/22.39 | Simplifying 251 yields: % 54.61/22.39 | (252) ~ (all_0_47_47 = e4) % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (320), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (471) all_0_39_39 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (471) can reduce 1377 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (1377) ~ (all_0_39_39 = e4) % 54.61/22.39 | (480) all_0_39_39 = e0 % 54.61/22.39 | % 54.61/22.39 | Equations (480) can reduce 176 to: % 54.61/22.39 | (1400) ~ (all_0_40_40 = e0) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1400 yields: % 54.61/22.39 | (1401) ~ (all_0_40_40 = e0) % 54.61/22.39 | % 54.61/22.39 | Equations (480) can reduce 79 to: % 54.61/22.39 | (1402) ~ (all_0_47_47 = e0) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1402 yields: % 54.61/22.39 | (678) ~ (all_0_47_47 = e0) % 54.61/22.39 | % 54.61/22.39 | Equations (480) can reduce 139 to: % 54.61/22.39 | (1404) ~ (all_0_51_51 = e0) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1404 yields: % 54.61/22.39 | (115) ~ (all_0_51_51 = e0) % 54.61/22.39 | % 54.61/22.39 | Equations (480) can reduce 154 to: % 54.61/22.39 | (1181) ~ (all_0_56_56 = e0) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1181 yields: % 54.61/22.39 | (828) ~ (all_0_56_56 = e0) % 54.61/22.39 | % 54.61/22.39 | Equations (480) can reduce 246 to: % 54.61/22.39 | (541) ~ (e3 = e0) % 54.61/22.39 | % 54.61/22.39 | Simplifying 541 yields: % 54.61/22.39 | (80) ~ (e3 = e0) % 54.61/22.39 | % 54.61/22.39 | Equations (480) can reduce 294 to: % 54.61/22.39 | (365) ~ (e2 = e0) % 54.61/22.39 | % 54.61/22.39 | Simplifying 365 yields: % 54.61/22.39 | (128) ~ (e2 = e0) % 54.61/22.39 | % 54.61/22.39 | From (480) and (182) follows: % 54.61/22.39 | (1412) op(e0, e4) = all_0_2_2 % 54.61/22.39 | % 54.61/22.39 | From (480) and (38) follows: % 54.61/22.39 | (1413) op(e0, e2) = all_0_3_3 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (1391), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (1414) all_0_44_44 = e0 % 54.61/22.39 | % 54.61/22.39 | Equations (1414) can reduce 360 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (360) ~ (all_0_44_44 = e0) % 54.61/22.39 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (1417), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (635) all_0_44_44 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (635) can reduce 9 to: % 54.61/22.39 | (1419) ~ (all_0_49_49 = e1) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1419 yields: % 54.61/22.39 | (1064) ~ (all_0_49_49 = e1) % 54.61/22.39 | % 54.61/22.39 | Equations (635) can reduce 181 to: % 54.61/22.39 | (879) ~ (all_0_58_58 = e1) % 54.61/22.39 | % 54.61/22.39 | Simplifying 879 yields: % 54.61/22.39 | (880) ~ (all_0_58_58 = e1) % 54.61/22.39 | % 54.61/22.39 | From (635) and (138) follows: % 54.61/22.39 | (1423) op(e3, e0) = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (163), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (565) all_0_52_52 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (565) can reduce 101 to: % 54.61/22.39 | (566) ~ (all_0_50_50 = e4) % 54.61/22.39 | % 54.61/22.39 | Equations (565) can reduce 20 to: % 54.61/22.39 | (475) ~ (all_0_51_51 = e4) % 54.61/22.39 | % 54.61/22.39 | Equations (565) can reduce 166 to: % 54.61/22.39 | (188) ~ (e4 = e3) % 54.61/22.39 | % 54.61/22.39 | Equations (565) can reduce 342 to: % 54.61/22.39 | (48) ~ (e4 = e2) % 54.61/22.39 | % 54.61/22.39 | Equations (565) can reduce 72 to: % 54.61/22.39 | (49) ~ (e4 = e0) % 54.61/22.39 | % 54.61/22.39 | From (565) and (124) follows: % 54.61/22.39 | (570) op(e1, e1) = e4 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (62), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (321) all_0_38_38 = e4 % 54.61/22.39 | % 54.61/22.39 | Combining equations (292,321) yields a new equation: % 54.61/22.39 | (323) e4 = e2 % 54.61/22.39 | % 54.61/22.39 | Equations (323) can reduce 48 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (325) ~ (all_0_38_38 = e4) % 54.61/22.39 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (582), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (437) all_0_41_41 = e4 % 54.61/22.39 | % 54.61/22.39 | Combining equations (403,437) yields a new equation: % 54.61/22.39 | (425) e4 = e3 % 54.61/22.39 | % 54.61/22.39 | Equations (425) can reduce 188 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (440) ~ (all_0_41_41 = e4) % 54.61/22.39 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (422), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (775) all_0_50_50 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (775) can reduce 566 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (566) ~ (all_0_50_50 = e4) % 54.61/22.39 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (326), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (471) all_0_39_39 = e4 % 54.61/22.39 | % 54.61/22.39 | Combining equations (480,471) yields a new equation: % 54.61/22.39 | (397) e4 = e0 % 54.61/22.39 | % 54.61/22.39 | Equations (397) can reduce 49 to: % 54.61/22.39 | (266) $false % 54.61/22.39 | % 54.61/22.39 |-The branch is then unsatisfiable % 54.61/22.39 |-Branch two: % 54.61/22.39 | (1377) ~ (all_0_39_39 = e4) % 54.61/22.39 | (1378) all_0_40_40 = e4 % 54.61/22.39 | % 54.61/22.39 | Equations (1378) can reduce 200 to: % 54.61/22.39 | (255) ~ (all_0_49_49 = e4) % 54.61/22.39 | % 54.61/22.39 | Simplifying 255 yields: % 54.61/22.39 | (256) ~ (all_0_49_49 = e4) % 54.61/22.39 | % 54.61/22.39 | Equations (1378) can reduce 162 to: % 54.61/22.39 | (1452) ~ (all_0_53_53 = e4) % 54.61/22.39 | % 54.61/22.39 | Simplifying 1452 yields: % 54.61/22.39 | (1453) ~ (all_0_53_53 = e4) % 54.61/22.39 | % 54.61/22.39 | Equations (1378) can reduce 1401 to: % 54.61/22.39 | (49) ~ (e4 = e0) % 54.61/22.39 | % 54.61/22.39 | From (1378) and (34) follows: % 54.61/22.39 | (1455) op(e4, e4) = all_0_4_4 % 54.61/22.39 | % 54.61/22.39 +-Applying beta-rule and splitting (1444), into two cases. % 54.61/22.39 |-Branch one: % 54.61/22.39 | (601) all_0_50_50 = e1 % 54.61/22.39 | % 54.61/22.39 | Equations (601) can reduce 35 to: % 54.61/22.39 | (549) ~ (all_0_46_46 = e1) % 54.61/22.39 | % 54.61/22.39 | Equations (601) can reduce 190 to: % 54.61/22.39 | (1458) ~ (all_0_53_53 = e1) % 54.61/22.39 | % 54.61/22.40 | Simplifying 1458 yields: % 54.61/22.40 | (1459) ~ (all_0_53_53 = e1) % 54.61/22.40 | % 54.61/22.40 | Equations (601) can reduce 566 to: % 54.61/22.40 | (602) ~ (e4 = e1) % 54.61/22.40 | % 54.61/22.40 | Simplifying 602 yields: % 54.61/22.40 | (110) ~ (e4 = e1) % 54.61/22.40 | % 54.61/22.40 | From (601) and (57) follows: % 54.61/22.40 | (606) op(e1, e1) = all_0_22_22 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (135), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (545) all_0_46_46 = e1 % 54.61/22.40 | % 54.61/22.40 | Equations (545) can reduce 549 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (549) ~ (all_0_46_46 = e1) % 54.61/22.40 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (769), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (770) all_0_46_46 = e4 % 54.61/22.40 | % 54.61/22.40 | Equations (770) can reduce 250 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (250) ~ (all_0_46_46 = e4) % 54.61/22.40 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (774), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (775) all_0_50_50 = e4 % 54.61/22.40 | % 54.61/22.40 | Combining equations (775,601) yields a new equation: % 54.61/22.40 | (636) e4 = e1 % 54.61/22.40 | % 54.61/22.40 | Simplifying 636 yields: % 54.61/22.40 | (630) e4 = e1 % 54.61/22.40 | % 54.61/22.40 | Equations (630) can reduce 110 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (566) ~ (all_0_50_50 = e4) % 54.61/22.40 | (587) all_0_55_55 = e4 % 54.61/22.40 | % 54.61/22.40 | Equations (587) can reduce 58 to: % 54.61/22.40 | (250) ~ (all_0_46_46 = e4) % 54.61/22.40 | % 54.61/22.40 | Equations (587) can reduce 3 to: % 54.61/22.40 | (450) ~ (all_0_58_58 = e4) % 54.61/22.40 | % 54.61/22.40 | Simplifying 450 yields: % 54.61/22.40 | (451) ~ (all_0_58_58 = e4) % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (125), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (858) all_0_55_55 = e0 % 54.61/22.40 | % 54.61/22.40 | Combining equations (858,587) yields a new equation: % 54.61/22.40 | (397) e4 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (397) can reduce 49 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (803) ~ (all_0_55_55 = e0) % 54.61/22.40 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (587) can reduce 803 to: % 54.61/22.40 | (49) ~ (e4 = e0) % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (550), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (654) all_0_47_47 = e1 % 54.61/22.40 | % 54.61/22.40 | Equations (654) can reduce 19 to: % 54.61/22.40 | (549) ~ (all_0_46_46 = e1) % 54.61/22.40 | % 54.61/22.40 | Equations (654) can reduce 86 to: % 54.61/22.40 | (1419) ~ (all_0_49_49 = e1) % 54.61/22.40 | % 54.61/22.40 | Simplifying 1419 yields: % 54.61/22.40 | (1064) ~ (all_0_49_49 = e1) % 54.61/22.40 | % 54.61/22.40 | Equations (654) can reduce 224 to: % 54.61/22.40 | (463) ~ (all_0_51_51 = e1) % 54.61/22.40 | % 54.61/22.40 | Simplifying 463 yields: % 54.61/22.40 | (464) ~ (all_0_51_51 = e1) % 54.61/22.40 | % 54.61/22.40 | Equations (654) can reduce 91 to: % 54.61/22.40 | (465) ~ (all_0_56_56 = e1) % 54.61/22.40 | % 54.61/22.40 | Simplifying 465 yields: % 54.61/22.40 | (466) ~ (all_0_56_56 = e1) % 54.61/22.40 | % 54.61/22.40 | Equations (654) can reduce 252 to: % 54.61/22.40 | (602) ~ (e4 = e1) % 54.61/22.40 | % 54.61/22.40 | Simplifying 602 yields: % 54.61/22.40 | (110) ~ (e4 = e1) % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (395), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (794) all_0_41_41 = e0 % 54.61/22.40 | % 54.61/22.40 | Combining equations (403,794) yields a new equation: % 54.61/22.40 | (675) e3 = e0 % 54.61/22.40 | % 54.61/22.40 | Simplifying 675 yields: % 54.61/22.40 | (676) e3 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (676) can reduce 80 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (357) ~ (all_0_41_41 = e0) % 54.61/22.40 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (133), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (833) all_0_56_56 = e2 % 54.61/22.40 | % 54.61/22.40 | Equations (833) can reduce 16 to: % 54.61/22.40 | (1099) ~ (all_0_51_51 = e2) % 54.61/22.40 | % 54.61/22.40 | Equations (833) can reduce 140 to: % 54.61/22.40 | (343) ~ (all_0_57_57 = e2) % 54.61/22.40 | % 54.61/22.40 | Simplifying 343 yields: % 54.61/22.40 | (344) ~ (all_0_57_57 = e2) % 54.61/22.40 | % 54.61/22.40 | Equations (833) can reduce 828 to: % 54.61/22.40 | (128) ~ (e2 = e0) % 54.61/22.40 | % 54.61/22.40 | From (833) and (127) follows: % 54.61/22.40 | (1507) op(e2, e0) = all_0_33_33 % 54.61/22.40 | % 54.61/22.40 | From (833) and (111) follows: % 54.61/22.40 | (1508) op(e0, e2) = e2 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (7), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (504) all_0_51_51 = e2 % 54.61/22.40 | % 54.61/22.40 | Equations (504) can reduce 1099 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (1099) ~ (all_0_51_51 = e2) % 54.61/22.40 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (216), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (629) all_0_55_55 = e1 % 54.61/22.40 | % 54.61/22.40 | Combining equations (587,629) yields a new equation: % 54.61/22.40 | (636) e4 = e1 % 54.61/22.40 | % 54.61/22.40 | Simplifying 636 yields: % 54.61/22.40 | (630) e4 = e1 % 54.61/22.40 | % 54.61/22.40 | Equations (630) can reduce 110 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (632) ~ (all_0_55_55 = e1) % 54.61/22.40 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (863), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (679) all_0_56_56 = e0 % 54.61/22.40 | % 54.61/22.40 | Combining equations (679,833) yields a new equation: % 54.61/22.40 | (330) e2 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (330) can reduce 128 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (828) ~ (all_0_56_56 = e0) % 54.61/22.40 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (924), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (875) all_0_57_57 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (875) can reduce 364 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (364) ~ (all_0_57_57 = e0) % 54.61/22.40 | (914) all_0_58_58 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (914) can reduce 148 to: % 54.61/22.40 | (364) ~ (all_0_57_57 = e0) % 54.61/22.40 | % 54.61/22.40 | Equations (914) can reduce 451 to: % 54.61/22.40 | (401) ~ (e4 = e0) % 54.61/22.40 | % 54.61/22.40 | Simplifying 401 yields: % 54.61/22.40 | (49) ~ (e4 = e0) % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (54), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (583) all_0_49_49 = e2 % 54.61/22.40 | % 54.61/22.40 | Equations (583) can reduce 340 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (340) ~ (all_0_49_49 = e2) % 54.61/22.40 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (1100), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (1101) all_0_51_51 = e4 % 54.61/22.40 | % 54.61/22.40 | Equations (1101) can reduce 475 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (475) ~ (all_0_51_51 = e4) % 54.61/22.40 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (895), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (538) all_0_46_46 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (538) can reduce 208 to: % 54.61/22.40 | (486) ~ (all_0_49_49 = e0) % 54.61/22.40 | % 54.61/22.40 | Simplifying 486 yields: % 54.61/22.40 | (487) ~ (all_0_49_49 = e0) % 54.61/22.40 | % 54.61/22.40 | Equations (538) can reduce 549 to: % 54.61/22.40 | (435) ~ (e1 = e0) % 54.61/22.40 | % 54.61/22.40 | Simplifying 435 yields: % 54.61/22.40 | (233) ~ (e1 = e0) % 54.61/22.40 | % 54.61/22.40 | From (538) and (179) follows: % 54.61/22.40 | (1544) op(e0, e2) = all_0_15_15 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (1104), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (1109) all_0_51_51 = e1 % 54.61/22.40 | % 54.61/22.40 | Equations (1109) can reduce 464 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (464) ~ (all_0_51_51 = e1) % 54.61/22.40 | (660) all_0_51_51 = e3 % 54.61/22.40 | % 54.61/22.40 | Equations (660) can reduce 464 to: % 54.61/22.40 | (213) ~ (e3 = e1) % 54.61/22.40 | % 54.61/22.40 | Equations (660) can reduce 115 to: % 54.61/22.40 | (80) ~ (e3 = e0) % 54.61/22.40 | % 54.61/22.40 | From (660) and (157) follows: % 54.61/22.40 | (1551) op(e3, e1) = all_0_24_24 % 54.61/22.40 | % 54.61/22.40 | From (660) and (186) follows: % 54.61/22.40 | (1552) op(e1, e2) = e3 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (196), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (607) all_0_53_53 = e2 % 54.61/22.40 | % 54.61/22.40 | Equations (607) can reduce 1459 to: % 54.61/22.40 | (122) ~ (e2 = e1) % 54.61/22.40 | % 54.61/22.40 | From (607) and (92) follows: % 54.61/22.40 | (1555) op(e2, e1) = all_0_27_27 % 54.61/22.40 | % 54.61/22.40 | From (607) and (175) follows: % 54.61/22.40 | (1556) op(e2, e0) = all_0_28_28 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (428), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (1557) all_0_46_46 = e3 % 54.61/22.40 | % 54.61/22.40 | Combining equations (538,1557) yields a new equation: % 54.61/22.40 | (676) e3 = e0 % 54.61/22.40 | % 54.61/22.40 | Equations (676) can reduce 80 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (409) ~ (all_0_46_46 = e3) % 54.61/22.40 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 54.61/22.40 | % 54.61/22.40 +-Applying beta-rule and splitting (189), into two cases. % 54.61/22.40 |-Branch one: % 54.61/22.40 | (532) all_0_44_44 = e3 % 54.61/22.40 | % 54.61/22.40 | Combining equations (635,532) yields a new equation: % 54.61/22.40 | (455) e3 = e1 % 54.61/22.40 | % 54.61/22.40 | Equations (455) can reduce 213 to: % 54.61/22.40 | (266) $false % 54.61/22.40 | % 54.61/22.40 |-The branch is then unsatisfiable % 54.61/22.40 |-Branch two: % 54.61/22.40 | (407) ~ (all_0_44_44 = e3) % 54.61/22.40 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 54.72/22.40 | % 54.72/22.40 | Equations (635) can reduce 407 to: % 54.72/22.40 | (467) ~ (e3 = e1) % 54.72/22.40 | % 54.72/22.40 | Simplifying 467 yields: % 54.72/22.40 | (213) ~ (e3 = e1) % 54.72/22.40 | % 54.72/22.40 +-Applying beta-rule and splitting (633), into two cases. % 54.72/22.40 |-Branch one: % 54.72/22.40 | (1569) all_0_56_56 = e1 % 54.72/22.40 | % 54.72/22.40 | Combining equations (833,1569) yields a new equation: % 54.72/22.40 | (616) e2 = e1 % 54.72/22.40 | % 54.72/22.40 | Simplifying 616 yields: % 54.72/22.40 | (617) e2 = e1 % 54.72/22.40 | % 54.72/22.40 | Equations (617) can reduce 122 to: % 54.72/22.40 | (266) $false % 54.72/22.40 | % 54.72/22.40 |-The branch is then unsatisfiable % 54.72/22.40 |-Branch two: % 54.72/22.40 | (466) ~ (all_0_56_56 = e1) % 54.72/22.40 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 54.72/22.40 | % 54.72/22.40 +-Applying beta-rule and splitting (1561), into two cases. % 54.72/22.40 |-Branch one: % 54.72/22.40 | (522) all_0_47_47 = e3 % 54.72/22.40 | % 54.72/22.40 | Combining equations (654,522) yields a new equation: % 54.72/22.40 | (455) e3 = e1 % 54.72/22.40 | % 54.72/22.40 | Equations (455) can reduce 213 to: % 54.72/22.40 | (266) $false % 54.72/22.40 | % 54.72/22.40 |-The branch is then unsatisfiable % 54.72/22.40 |-Branch two: % 54.72/22.40 | (1091) ~ (all_0_47_47 = e3) % 54.72/22.40 | (884) all_0_49_49 = e3 % 54.72/22.40 | % 54.72/22.40 | From (884) and (66) follows: % 54.72/22.40 | (1580) op(e3, e0) = all_0_21_21 % 54.72/22.40 | % 54.72/22.40 | From (884) and (55) follows: % 54.72/22.40 | (1581) op(e2, e0) = e3 % 54.72/22.40 | % 54.72/22.40 +-Applying beta-rule and splitting (1574), into two cases. % 54.72/22.40 |-Branch one: % 54.72/22.40 | (647) all_0_57_57 = e1 % 54.72/22.40 | % 54.72/22.40 | Equations (647) can reduce 344 to: % 54.72/22.40 | (604) ~ (e2 = e1) % 54.72/22.40 | % 54.72/22.40 | Simplifying 604 yields: % 54.72/22.40 | (122) ~ (e2 = e1) % 54.72/22.40 | % 54.72/22.40 | Equations (647) can reduce 364 to: % 54.72/22.40 | (233) ~ (e1 = e0) % 54.72/22.40 | % 54.72/22.40 | From (647) and (45) follows: % 54.72/22.40 | (653) op(e1, e1) = all_0_36_36 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 54.72/22.40 | (1587) all_0_4_4 = e1 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e3, e1, all_0_24_24, e0 and discharging atoms op(e3, e1) = all_0_24_24, op(e3, e1) = e0, yields: % 54.72/22.40 | (1588) all_0_24_24 = e0 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e3, e0, e1, all_0_21_21 and discharging atoms op(e3, e0) = all_0_21_21, op(e3, e0) = e1, yields: % 54.72/22.40 | (1589) all_0_21_21 = e1 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e2, e1, all_0_27_27, e2 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = e2, yields: % 54.72/22.40 | (1590) all_0_27_27 = e2 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e2, e0, all_0_33_33, all_0_28_28 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = all_0_33_33, yields: % 54.72/22.40 | (1591) all_0_28_28 = all_0_33_33 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e2, e0, e3, all_0_28_28 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = e3, yields: % 54.72/22.40 | (1592) all_0_28_28 = e3 % 54.72/22.40 | % 54.72/22.40 | Instantiating formula (29) with e1, e1, all_0_36_36, all_0_22_22 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = all_0_36_36, yields: % 54.72/22.41 | (685) all_0_22_22 = all_0_36_36 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e1, e1, e4, all_0_22_22 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 54.72/22.41 | (686) all_0_22_22 = e4 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 54.72/22.41 | (1595) all_0_2_2 = e3 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e0, e2, all_0_15_15, all_0_3_3 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = all_0_15_15, yields: % 54.72/22.41 | (1596) all_0_3_3 = all_0_15_15 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e0, e2, e2, all_0_3_3 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 54.72/22.41 | (1597) all_0_3_3 = e2 % 54.72/22.41 | % 54.72/22.41 | Combining equations (1596,1597) yields a new equation: % 54.72/22.41 | (1598) all_0_15_15 = e2 % 54.72/22.41 | % 54.72/22.41 | Simplifying 1598 yields: % 54.72/22.41 | (1599) all_0_15_15 = e2 % 54.72/22.41 | % 54.72/22.41 | Combining equations (686,685) yields a new equation: % 54.72/22.41 | (690) all_0_36_36 = e4 % 54.72/22.41 | % 54.72/22.41 | Combining equations (1591,1592) yields a new equation: % 54.72/22.41 | (1601) all_0_33_33 = e3 % 54.72/22.41 | % 54.72/22.41 | Simplifying 1601 yields: % 54.72/22.41 | (1602) all_0_33_33 = e3 % 54.72/22.41 | % 54.72/22.41 | From (1587) and (1455) follows: % 54.72/22.41 | (41) op(e4, e4) = e1 % 54.72/22.41 | % 54.72/22.41 | From (1588) and (1551) follows: % 54.72/22.41 | (369) op(e3, e1) = e0 % 54.72/22.41 | % 54.72/22.41 | From (1589) and (1580) follows: % 54.72/22.41 | (1423) op(e3, e0) = e1 % 54.72/22.41 | % 54.72/22.41 | From (1590) and (1555) follows: % 54.72/22.41 | (347) op(e2, e1) = e2 % 54.72/22.41 | % 54.72/22.41 | From (1602) and (1507) follows: % 54.72/22.41 | (1581) op(e2, e0) = e3 % 54.72/22.41 | % 54.72/22.41 | From (690) and (653) follows: % 54.72/22.41 | (570) op(e1, e1) = e4 % 54.72/22.41 | % 54.72/22.41 | From (1595) and (1412) follows: % 54.72/22.41 | (283) op(e0, e4) = e3 % 54.72/22.41 | % 54.72/22.41 | From (1599) and (1544) follows: % 54.72/22.41 | (1508) op(e0, e2) = e2 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (56), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (696) unit = e2 % 54.72/22.41 | % 54.72/22.41 | From (696) and (211) follows: % 54.72/22.41 | (1612) op(e2, e1) = e1 % 54.72/22.41 | % 54.72/22.41 | From (696) and (42) follows: % 54.72/22.41 | (1613) op(e0, e2) = e0 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 54.72/22.41 | (617) e2 = e1 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 54.72/22.41 | (330) e2 = e0 % 54.72/22.41 | % 54.72/22.41 | Combining equations (617,330) yields a new equation: % 54.72/22.41 | (546) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Simplifying 546 yields: % 54.72/22.41 | (431) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Equations (431) can reduce 233 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (707) ~ (unit = e2) % 54.72/22.41 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (708), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (709) unit = e4 % 54.72/22.41 | % 54.72/22.41 | From (709) and (227) follows: % 54.72/22.41 | (710) op(e4, e4) = e4 % 54.72/22.41 | % 54.72/22.41 | From (709) and (40) follows: % 54.72/22.41 | (711) op(e3, e4) = e3 % 54.72/22.41 | % 54.72/22.41 | From (709) and (32) follows: % 54.72/22.41 | (712) op(e2, e4) = e2 % 54.72/22.41 | % 54.72/22.41 | From (709) and (42) follows: % 54.72/22.41 | (713) op(e0, e4) = e0 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 54.72/22.41 | (630) e4 = e1 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 54.72/22.41 | (662) e3 = e2 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 54.72/22.41 | (323) e4 = e2 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 54.72/22.41 | (676) e3 = e0 % 54.72/22.41 | % 54.72/22.41 | Combining equations (630,323) yields a new equation: % 54.72/22.41 | (617) e2 = e1 % 54.72/22.41 | % 54.72/22.41 | Combining equations (662,676) yields a new equation: % 54.72/22.41 | (391) e2 = e0 % 54.72/22.41 | % 54.72/22.41 | Simplifying 391 yields: % 54.72/22.41 | (330) e2 = e0 % 54.72/22.41 | % 54.72/22.41 | Combining equations (617,330) yields a new equation: % 54.72/22.41 | (546) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Simplifying 546 yields: % 54.72/22.41 | (431) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Equations (431) can reduce 233 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (724) ~ (unit = e4) % 54.72/22.41 | (725) unit = e3 | unit = e1 | unit = e0 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (725), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (726) unit = e0 % 54.72/22.41 | % 54.72/22.41 | From (726) and (40) follows: % 54.72/22.41 | (1639) op(e3, e0) = e3 % 54.72/22.41 | % 54.72/22.41 | From (726) and (32) follows: % 54.72/22.41 | (727) op(e2, e0) = e2 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e3, e0, e3, e1 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e1, yields: % 54.72/22.41 | (455) e3 = e1 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 54.72/22.41 | (662) e3 = e2 % 54.72/22.41 | % 54.72/22.41 | Combining equations (662,455) yields a new equation: % 54.72/22.41 | (616) e2 = e1 % 54.72/22.41 | % 54.72/22.41 | Simplifying 616 yields: % 54.72/22.41 | (617) e2 = e1 % 54.72/22.41 | % 54.72/22.41 | Equations (617) can reduce 122 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (734) ~ (unit = e0) % 54.72/22.41 | (735) unit = e3 | unit = e1 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (735), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (736) unit = e1 % 54.72/22.41 | % 54.72/22.41 | Equations (736) can reduce 734 to: % 54.72/22.41 | (233) ~ (e1 = e0) % 54.72/22.41 | % 54.72/22.41 | From (736) and (15) follows: % 54.72/22.41 | (515) op(e1, e2) = e2 % 54.72/22.41 | % 54.72/22.41 | From (736) and (227) follows: % 54.72/22.41 | (739) op(e4, e1) = e4 % 54.72/22.41 | % 54.72/22.41 | From (736) and (40) follows: % 54.72/22.41 | (1652) op(e3, e1) = e3 % 54.72/22.41 | % 54.72/22.41 | From (736) and (28) follows: % 54.72/22.41 | (740) op(e1, e1) = e1 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 54.72/22.41 | (425) e4 = e3 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 54.72/22.41 | (676) e3 = e0 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 54.72/22.41 | (662) e3 = e2 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 54.72/22.41 | (630) e4 = e1 % 54.72/22.41 | % 54.72/22.41 | Combining equations (425,630) yields a new equation: % 54.72/22.41 | (454) e3 = e1 % 54.72/22.41 | % 54.72/22.41 | Simplifying 454 yields: % 54.72/22.41 | (455) e3 = e1 % 54.72/22.41 | % 54.72/22.41 | Combining equations (455,662) yields a new equation: % 54.72/22.41 | (617) e2 = e1 % 54.72/22.41 | % 54.72/22.41 | Combining equations (676,662) yields a new equation: % 54.72/22.41 | (330) e2 = e0 % 54.72/22.41 | % 54.72/22.41 | Combining equations (617,330) yields a new equation: % 54.72/22.41 | (546) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Simplifying 546 yields: % 54.72/22.41 | (431) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Equations (431) can reduce 233 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (748) ~ (unit = e1) % 54.72/22.41 | (749) unit = e3 % 54.72/22.41 | % 54.72/22.41 | From (749) and (209) follows: % 54.72/22.41 | (1667) op(e3, e0) = e0 % 54.72/22.41 | % 54.72/22.41 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 54.72/22.41 | (431) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Equations (431) can reduce 233 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (1670) ~ (all_0_57_57 = e1) % 54.72/22.41 | (918) all_0_58_58 = e1 % 54.72/22.41 | % 54.72/22.41 | Combining equations (918,914) yields a new equation: % 54.72/22.41 | (546) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Simplifying 546 yields: % 54.72/22.41 | (431) e1 = e0 % 54.72/22.41 | % 54.72/22.41 | Equations (431) can reduce 233 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (509) ~ (all_0_53_53 = e2) % 54.72/22.41 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (586), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (974) all_0_49_49 = e4 % 54.72/22.41 | % 54.72/22.41 | Equations (974) can reduce 256 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (256) ~ (all_0_49_49 = e4) % 54.72/22.41 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (977), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (978) all_0_49_49 = e0 % 54.72/22.41 | % 54.72/22.41 | Equations (978) can reduce 487 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (487) ~ (all_0_49_49 = e0) % 54.72/22.41 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (981), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (671) all_0_49_49 = e1 % 54.72/22.41 | % 54.72/22.41 | Equations (671) can reduce 1064 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (1064) ~ (all_0_49_49 = e1) % 54.72/22.41 | (884) all_0_49_49 = e3 % 54.72/22.41 | % 54.72/22.41 | Equations (884) can reduce 65 to: % 54.72/22.41 | (1114) ~ (all_0_53_53 = e3) % 54.72/22.41 | % 54.72/22.41 | Simplifying 1114 yields: % 54.72/22.41 | (903) ~ (all_0_53_53 = e3) % 54.72/22.41 | % 54.72/22.41 +-Applying beta-rule and splitting (610), into two cases. % 54.72/22.41 |-Branch one: % 54.72/22.41 | (1298) all_0_53_53 = e4 % 54.72/22.41 | % 54.72/22.41 | Equations (1298) can reduce 1453 to: % 54.72/22.41 | (266) $false % 54.72/22.41 | % 54.72/22.41 |-The branch is then unsatisfiable % 54.72/22.41 |-Branch two: % 54.72/22.41 | (1453) ~ (all_0_53_53 = e4) % 54.72/22.41 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 54.72/22.41 | % 54.72/22.42 +-Applying beta-rule and splitting (1694), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (1208) all_0_53_53 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (1208) can reduce 1459 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (1459) ~ (all_0_53_53 = e1) % 54.72/22.42 | (665) all_0_53_53 = e3 % 54.72/22.42 | % 54.72/22.42 | Equations (665) can reduce 903 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (831) ~ (all_0_46_46 = e0) % 54.72/22.42 | (858) all_0_55_55 = e0 % 54.72/22.42 | % 54.72/22.42 | Combining equations (858,587) yields a new equation: % 54.72/22.42 | (397) e4 = e0 % 54.72/22.42 | % 54.72/22.42 | Equations (397) can reduce 49 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (511) ~ (all_0_56_56 = e2) % 54.72/22.42 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (389), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (833) all_0_56_56 = e2 % 54.72/22.42 | % 54.72/22.42 | Equations (833) can reduce 511 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (511) ~ (all_0_56_56 = e2) % 54.72/22.42 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (1709), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (442) all_0_57_57 = e2 % 54.72/22.42 | % 54.72/22.42 | Equations (442) can reduce 344 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (344) ~ (all_0_57_57 = e2) % 54.72/22.42 | (624) all_0_58_58 = e2 % 54.72/22.42 | % 54.72/22.42 | Equations (624) can reduce 10 to: % 54.72/22.42 | (509) ~ (all_0_53_53 = e2) % 54.72/22.42 | % 54.72/22.42 | Equations (624) can reduce 880 to: % 54.72/22.42 | (122) ~ (e2 = e1) % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (434), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (615) all_0_48_48 = e1 % 54.72/22.42 | % 54.72/22.42 | Combining equations (335,615) yields a new equation: % 54.72/22.42 | (616) e2 = e1 % 54.72/22.42 | % 54.72/22.42 | Simplifying 616 yields: % 54.72/22.42 | (617) e2 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (617) can reduce 122 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (619) ~ (all_0_48_48 = e1) % 54.72/22.42 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (335) can reduce 619 to: % 54.72/22.42 | (122) ~ (e2 = e1) % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (196), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (607) all_0_53_53 = e2 % 54.72/22.42 | % 54.72/22.42 | Equations (607) can reduce 509 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (509) ~ (all_0_53_53 = e2) % 54.72/22.42 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (216), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (629) all_0_55_55 = e1 % 54.72/22.42 | % 54.72/22.42 | Combining equations (587,629) yields a new equation: % 54.72/22.42 | (636) e4 = e1 % 54.72/22.42 | % 54.72/22.42 | Simplifying 636 yields: % 54.72/22.42 | (630) e4 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (630) can reduce 110 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (632) ~ (all_0_55_55 = e1) % 54.72/22.42 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (633), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (1569) all_0_56_56 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (1569) can reduce 466 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (466) ~ (all_0_56_56 = e1) % 54.72/22.42 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (1574), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (647) all_0_57_57 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (647) can reduce 364 to: % 54.72/22.42 | (233) ~ (e1 = e0) % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (610), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (1298) all_0_53_53 = e4 % 54.72/22.42 | % 54.72/22.42 | Equations (1298) can reduce 1453 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (1453) ~ (all_0_53_53 = e4) % 54.72/22.42 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (75), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (485) all_0_40_40 = e0 % 54.72/22.42 | % 54.72/22.42 | Combining equations (1378,485) yields a new equation: % 54.72/22.42 | (481) e4 = e0 % 54.72/22.42 | % 54.72/22.42 | Simplifying 481 yields: % 54.72/22.42 | (397) e4 = e0 % 54.72/22.42 | % 54.72/22.42 | Equations (397) can reduce 49 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (1401) ~ (all_0_40_40 = e0) % 54.72/22.42 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (1694), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (1208) all_0_53_53 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (1208) can reduce 1459 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (1459) ~ (all_0_53_53 = e1) % 54.72/22.42 | (665) all_0_53_53 = e3 % 54.72/22.42 | % 54.72/22.42 | Equations (665) can reduce 65 to: % 54.72/22.42 | (525) ~ (all_0_49_49 = e3) % 54.72/22.42 | % 54.72/22.42 | Equations (665) can reduce 1459 to: % 54.72/22.42 | (213) ~ (e3 = e1) % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (1748), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (1414) all_0_44_44 = e0 % 54.72/22.42 | % 54.72/22.42 | Combining equations (635,1414) yields a new equation: % 54.72/22.42 | (546) e1 = e0 % 54.72/22.42 | % 54.72/22.42 | Simplifying 546 yields: % 54.72/22.42 | (431) e1 = e0 % 54.72/22.42 | % 54.72/22.42 | Equations (431) can reduce 233 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (360) ~ (all_0_44_44 = e0) % 54.72/22.42 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (428), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (1557) all_0_46_46 = e3 % 54.72/22.42 | % 54.72/22.42 | Equations (1557) can reduce 409 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (409) ~ (all_0_46_46 = e3) % 54.72/22.42 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (1760), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (978) all_0_49_49 = e0 % 54.72/22.42 | % 54.72/22.42 | Equations (978) can reduce 525 to: % 54.72/22.42 | (541) ~ (e3 = e0) % 54.72/22.42 | % 54.72/22.42 | Simplifying 541 yields: % 54.72/22.42 | (80) ~ (e3 = e0) % 54.72/22.42 | % 54.72/22.42 +-Applying beta-rule and splitting (1561), into two cases. % 54.72/22.42 |-Branch one: % 54.72/22.42 | (522) all_0_47_47 = e3 % 54.72/22.42 | % 54.72/22.42 | Combining equations (654,522) yields a new equation: % 54.72/22.42 | (455) e3 = e1 % 54.72/22.42 | % 54.72/22.42 | Equations (455) can reduce 213 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (1091) ~ (all_0_47_47 = e3) % 54.72/22.42 | (884) all_0_49_49 = e3 % 54.72/22.42 | % 54.72/22.42 | Combining equations (978,884) yields a new equation: % 54.72/22.42 | (676) e3 = e0 % 54.72/22.42 | % 54.72/22.42 | Equations (676) can reduce 80 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.72/22.42 |-Branch two: % 54.72/22.42 | (487) ~ (all_0_49_49 = e0) % 54.72/22.42 | (914) all_0_58_58 = e0 % 54.72/22.42 | % 54.72/22.42 | Combining equations (624,914) yields a new equation: % 54.72/22.42 | (391) e2 = e0 % 54.72/22.42 | % 54.72/22.42 | Simplifying 391 yields: % 54.72/22.42 | (330) e2 = e0 % 54.72/22.42 | % 54.72/22.42 | Equations (330) can reduce 128 to: % 54.72/22.42 | (266) $false % 54.72/22.42 | % 54.72/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (1670) ~ (all_0_57_57 = e1) % 54.80/22.42 | (918) all_0_58_58 = e1 % 54.80/22.42 | % 54.80/22.42 | Combining equations (918,624) yields a new equation: % 54.80/22.42 | (617) e2 = e1 % 54.80/22.42 | % 54.80/22.42 | Equations (617) can reduce 122 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (462) ~ (all_0_47_47 = e1) % 54.80/22.42 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (105), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (1105) all_0_47_47 = e2 % 54.80/22.42 | % 54.80/22.42 | Equations (1105) can reduce 338 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (338) ~ (all_0_47_47 = e2) % 54.80/22.42 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (1789), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (1790) all_0_47_47 = e4 % 54.80/22.42 | % 54.80/22.42 | Equations (1790) can reduce 252 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (252) ~ (all_0_47_47 = e4) % 54.80/22.42 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (123), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (1794) all_0_46_46 = e2 % 54.80/22.42 | % 54.80/22.42 | Equations (1794) can reduce 300 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (300) ~ (all_0_46_46 = e2) % 54.80/22.42 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (1797), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (770) all_0_46_46 = e4 % 54.80/22.42 | % 54.80/22.42 | Equations (770) can reduce 250 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (250) ~ (all_0_46_46 = e4) % 54.80/22.42 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (1801), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (538) all_0_46_46 = e0 % 54.80/22.42 | % 54.80/22.42 | Equations (538) can reduce 19 to: % 54.80/22.42 | (1402) ~ (all_0_47_47 = e0) % 54.80/22.42 | % 54.80/22.42 | Simplifying 1402 yields: % 54.80/22.42 | (678) ~ (all_0_47_47 = e0) % 54.80/22.42 | % 54.80/22.42 | Equations (538) can reduce 208 to: % 54.80/22.42 | (486) ~ (all_0_49_49 = e0) % 54.80/22.42 | % 54.80/22.42 | Simplifying 486 yields: % 54.80/22.42 | (487) ~ (all_0_49_49 = e0) % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (377), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (583) all_0_49_49 = e2 % 54.80/22.42 | % 54.80/22.42 | Equations (583) can reduce 340 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (340) ~ (all_0_49_49 = e2) % 54.80/22.42 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (54), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (583) all_0_49_49 = e2 % 54.80/22.42 | % 54.80/22.42 | Equations (583) can reduce 340 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (340) ~ (all_0_49_49 = e2) % 54.80/22.42 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (586), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (974) all_0_49_49 = e4 % 54.80/22.42 | % 54.80/22.42 | Equations (974) can reduce 256 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (256) ~ (all_0_49_49 = e4) % 54.80/22.42 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (977), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (978) all_0_49_49 = e0 % 54.80/22.42 | % 54.80/22.42 | Equations (978) can reduce 487 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (487) ~ (all_0_49_49 = e0) % 54.80/22.42 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (981), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (671) all_0_49_49 = e1 % 54.80/22.42 | % 54.80/22.42 | Equations (671) can reduce 1064 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (1064) ~ (all_0_49_49 = e1) % 54.80/22.42 | (884) all_0_49_49 = e3 % 54.80/22.42 | % 54.80/22.42 | Equations (884) can reduce 86 to: % 54.80/22.42 | (1091) ~ (all_0_47_47 = e3) % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (1793), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (674) all_0_47_47 = e0 % 54.80/22.42 | % 54.80/22.42 | Equations (674) can reduce 678 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (678) ~ (all_0_47_47 = e0) % 54.80/22.42 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 54.80/22.42 | % 54.80/22.42 +-Applying beta-rule and splitting (1831), into two cases. % 54.80/22.42 |-Branch one: % 54.80/22.42 | (654) all_0_47_47 = e1 % 54.80/22.42 | % 54.80/22.42 | Equations (654) can reduce 462 to: % 54.80/22.42 | (266) $false % 54.80/22.42 | % 54.80/22.42 |-The branch is then unsatisfiable % 54.80/22.42 |-Branch two: % 54.80/22.42 | (462) ~ (all_0_47_47 = e1) % 54.80/22.43 | (522) all_0_47_47 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (522) can reduce 1091 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (831) ~ (all_0_46_46 = e0) % 54.80/22.43 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (1838), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (545) all_0_46_46 = e1 % 54.80/22.43 | % 54.80/22.43 | Equations (545) can reduce 549 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (549) ~ (all_0_46_46 = e1) % 54.80/22.43 | (1557) all_0_46_46 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (1557) can reduce 409 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (759) ~ (all_0_50_50 = e1) % 54.80/22.43 | (415) all_0_50_50 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (415) can reduce 411 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (780) ~ (all_0_52_52 = e4) % 54.80/22.43 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (781), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (789), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (790), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (791), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (792), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 54.80/22.43 | % 54.80/22.43 | Applying alpha-rule on (793) yields: % 54.80/22.43 | (794) all_0_41_41 = e0 % 54.80/22.43 | (795) all_0_58_58 = e3 % 54.80/22.43 | (407) ~ (all_0_44_44 = e3) % 54.80/22.43 | % 54.80/22.43 | Combining equations (403,794) yields a new equation: % 54.80/22.43 | (675) e3 = e0 % 54.80/22.43 | % 54.80/22.43 | Simplifying 675 yields: % 54.80/22.43 | (676) e3 = e0 % 54.80/22.43 | % 54.80/22.43 | Equations (676) can reduce 80 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 54.80/22.43 | % 54.80/22.43 | Applying alpha-rule on (800) yields: % 54.80/22.43 | (794) all_0_41_41 = e0 % 54.80/22.43 | (795) all_0_58_58 = e3 % 54.80/22.43 | (803) ~ (all_0_55_55 = e0) % 54.80/22.43 | % 54.80/22.43 | Combining equations (403,794) yields a new equation: % 54.80/22.43 | (675) e3 = e0 % 54.80/22.43 | % 54.80/22.43 | Simplifying 675 yields: % 54.80/22.43 | (676) e3 = e0 % 54.80/22.43 | % 54.80/22.43 | Equations (676) can reduce 80 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 54.80/22.43 | % 54.80/22.43 | Applying alpha-rule on (807) yields: % 54.80/22.43 | (654) all_0_47_47 = e1 % 54.80/22.43 | (352) all_0_52_52 = e2 % 54.80/22.43 | (810) ~ (all_0_48_48 = e2) % 54.80/22.43 | % 54.80/22.43 | Equations (352) can reduce 342 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 54.80/22.43 | % 54.80/22.43 | Applying alpha-rule on (813) yields: % 54.80/22.43 | (654) all_0_47_47 = e1 % 54.80/22.43 | (352) all_0_52_52 = e2 % 54.80/22.43 | (464) ~ (all_0_51_51 = e1) % 54.80/22.43 | % 54.80/22.43 | Equations (352) can reduce 342 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 54.80/22.43 | % 54.80/22.43 | Applying alpha-rule on (819) yields: % 54.80/22.43 | (674) all_0_47_47 = e0 % 54.80/22.43 | (624) all_0_58_58 = e2 % 54.80/22.43 | (340) ~ (all_0_49_49 = e2) % 54.80/22.43 | % 54.80/22.43 | Equations (674) can reduce 678 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 54.80/22.43 | % 54.80/22.43 | Applying alpha-rule on (825) yields: % 54.80/22.43 | (674) all_0_47_47 = e0 % 54.80/22.43 | (624) all_0_58_58 = e2 % 54.80/22.43 | (828) ~ (all_0_56_56 = e0) % 54.80/22.43 | % 54.80/22.43 | Equations (674) can reduce 678 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (639) ~ (all_0_44_44 = e1) % 54.80/22.43 | (532) all_0_44_44 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (532) can reduce 407 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (1890) ~ (all_0_42_42 = e4) % 54.80/22.43 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (1891), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (396) all_0_43_43 = e4 % 54.80/22.43 | % 54.80/22.43 | Combining equations (356,396) yields a new equation: % 54.80/22.43 | (397) e4 = e0 % 54.80/22.43 | % 54.80/22.43 | Equations (397) can reduce 49 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (399) ~ (all_0_43_43 = e4) % 54.80/22.43 | (446) all_0_44_44 = e4 % 54.80/22.43 | % 54.80/22.43 | Equations (446) can reduce 1390 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (1898) ~ (all_0_41_41 = e3) % 54.80/22.43 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (27), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (437) all_0_41_41 = e4 % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 214 to: % 54.80/22.43 | (1901) ~ (all_0_42_42 = e4) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1901 yields: % 54.80/22.43 | (1890) ~ (all_0_42_42 = e4) % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 149 to: % 54.80/22.43 | (1903) ~ (all_0_44_44 = e4) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1903 yields: % 54.80/22.43 | (1390) ~ (all_0_44_44 = e4) % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 43 to: % 54.80/22.43 | (249) ~ (all_0_46_46 = e4) % 54.80/22.43 | % 54.80/22.43 | Simplifying 249 yields: % 54.80/22.43 | (250) ~ (all_0_46_46 = e4) % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 221 to: % 54.80/22.43 | (1907) ~ (all_0_50_50 = e4) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1907 yields: % 54.80/22.43 | (566) ~ (all_0_50_50 = e4) % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 191 to: % 54.80/22.43 | (1909) ~ (all_0_55_55 = e4) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1909 yields: % 54.80/22.43 | (763) ~ (all_0_55_55 = e4) % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 1898 to: % 54.80/22.43 | (188) ~ (e4 = e3) % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 357 to: % 54.80/22.43 | (49) ~ (e4 = e0) % 54.80/22.43 | % 54.80/22.43 | From (437) and (219) follows: % 54.80/22.43 | (1913) op(e3, e3) = e4 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (241), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (378) all_0_50_50 = e2 % 54.80/22.43 | % 54.80/22.43 | Equations (378) can reduce 302 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (302) ~ (all_0_50_50 = e2) % 54.80/22.43 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (144), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (403) all_0_41_41 = e3 % 54.80/22.43 | % 54.80/22.43 | Combining equations (437,403) yields a new equation: % 54.80/22.43 | (424) e4 = e3 % 54.80/22.43 | % 54.80/22.43 | Simplifying 424 yields: % 54.80/22.43 | (425) e4 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (425) can reduce 188 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (1898) ~ (all_0_41_41 = e3) % 54.80/22.43 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (168), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (415) all_0_50_50 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (415) can reduce 59 to: % 54.80/22.43 | (1925) ~ (all_0_51_51 = e3) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1925 yields: % 54.80/22.43 | (664) ~ (all_0_51_51 = e3) % 54.80/22.43 | % 54.80/22.43 | Equations (415) can reduce 101 to: % 54.80/22.43 | (1927) ~ (all_0_52_52 = e3) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1927 yields: % 54.80/22.43 | (166) ~ (all_0_52_52 = e3) % 54.80/22.43 | % 54.80/22.43 | Equations (415) can reduce 190 to: % 54.80/22.43 | (1114) ~ (all_0_53_53 = e3) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1114 yields: % 54.80/22.43 | (903) ~ (all_0_53_53 = e3) % 54.80/22.43 | % 54.80/22.43 | Equations (415) can reduce 93 to: % 54.80/22.43 | (269) ~ (all_0_55_55 = e3) % 54.80/22.43 | % 54.80/22.43 | Simplifying 269 yields: % 54.80/22.43 | (270) ~ (all_0_55_55 = e3) % 54.80/22.43 | % 54.80/22.43 | From (415) and (57) follows: % 54.80/22.43 | (1933) op(e3, e1) = all_0_22_22 % 54.80/22.43 | % 54.80/22.43 | From (415) and (242) follows: % 54.80/22.43 | (1934) op(e1, e3) = e3 % 54.80/22.43 | % 54.80/22.43 | Instantiating formula (29) with e3, e1, all_0_22_22, e0 and discharging atoms op(e3, e1) = all_0_22_22, op(e3, e1) = e0, yields: % 54.80/22.43 | (1935) all_0_22_22 = e0 % 54.80/22.43 | % 54.80/22.43 | From (1935) and (1933) follows: % 54.80/22.43 | (369) op(e3, e1) = e0 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (130), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (430) all_0_43_43 = e1 % 54.80/22.43 | % 54.80/22.43 | Combining equations (356,430) yields a new equation: % 54.80/22.43 | (431) e1 = e0 % 54.80/22.43 | % 54.80/22.43 | Equations (431) can reduce 233 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (433) ~ (all_0_43_43 = e1) % 54.80/22.43 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (18), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (453) all_0_41_41 = e1 % 54.80/22.43 | % 54.80/22.43 | Combining equations (437,453) yields a new equation: % 54.80/22.43 | (636) e4 = e1 % 54.80/22.43 | % 54.80/22.43 | Simplifying 636 yields: % 54.80/22.43 | (630) e4 = e1 % 54.80/22.43 | % 54.80/22.43 | Equations (630) can reduce 110 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (457) ~ (all_0_41_41 = e1) % 54.80/22.43 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 54.80/22.43 | % 54.80/22.43 | Equations (437) can reduce 457 to: % 54.80/22.43 | (110) ~ (e4 = e1) % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (189), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (532) all_0_44_44 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (532) can reduce 73 to: % 54.80/22.43 | (405) ~ (all_0_42_42 = e3) % 54.80/22.43 | % 54.80/22.43 | Equations (532) can reduce 220 to: % 54.80/22.43 | (1114) ~ (all_0_53_53 = e3) % 54.80/22.43 | % 54.80/22.43 | Simplifying 1114 yields: % 54.80/22.43 | (903) ~ (all_0_53_53 = e3) % 54.80/22.43 | % 54.80/22.43 | Equations (532) can reduce 360 to: % 54.80/22.43 | (80) ~ (e3 = e0) % 54.80/22.43 | % 54.80/22.43 | From (532) and (70) follows: % 54.80/22.43 | (1954) op(e3, e0) = all_0_12_12 % 54.80/22.43 | % 54.80/22.43 | From (532) and (138) follows: % 54.80/22.43 | (1639) op(e3, e0) = e3 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (180), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (516) all_0_42_42 = e3 % 54.80/22.43 | % 54.80/22.43 | Equations (516) can reduce 405 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (405) ~ (all_0_42_42 = e3) % 54.80/22.43 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (103), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (453) all_0_41_41 = e1 % 54.80/22.43 | % 54.80/22.43 | Combining equations (437,453) yields a new equation: % 54.80/22.43 | (636) e4 = e1 % 54.80/22.43 | % 54.80/22.43 | Simplifying 636 yields: % 54.80/22.43 | (630) e4 = e1 % 54.80/22.43 | % 54.80/22.43 | Equations (630) can reduce 110 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (457) ~ (all_0_41_41 = e1) % 54.80/22.43 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 54.80/22.43 | % 54.80/22.43 +-Applying beta-rule and splitting (152), into two cases. % 54.80/22.43 |-Branch one: % 54.80/22.43 | (1392) all_0_42_42 = e4 % 54.80/22.43 | % 54.80/22.43 | Equations (1392) can reduce 1890 to: % 54.80/22.43 | (266) $false % 54.80/22.43 | % 54.80/22.43 |-The branch is then unsatisfiable % 54.80/22.43 |-Branch two: % 54.80/22.43 | (1890) ~ (all_0_42_42 = e4) % 54.80/22.44 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (458), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (459) all_0_42_42 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (459) can reduce 145 to: % 54.80/22.44 | (151) ~ (all_0_39_39 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (459) can reduce 198 to: % 54.80/22.44 | (461) ~ (all_0_47_47 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 461 yields: % 54.80/22.44 | (462) ~ (all_0_47_47 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (459) can reduce 61 to: % 54.80/22.44 | (463) ~ (all_0_51_51 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 463 yields: % 54.80/22.44 | (464) ~ (all_0_51_51 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (459) can reduce 236 to: % 54.80/22.44 | (465) ~ (all_0_56_56 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 465 yields: % 54.80/22.44 | (466) ~ (all_0_56_56 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (459) can reduce 1890 to: % 54.80/22.44 | (602) ~ (e4 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 602 yields: % 54.80/22.44 | (110) ~ (e4 = e1) % 54.80/22.44 | % 54.80/22.44 | From (459) and (226) follows: % 54.80/22.44 | (1980) op(e1, e3) = all_0_7_7 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (521), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (522) all_0_47_47 = e3 % 54.80/22.44 | % 54.80/22.44 | Equations (522) can reduce 79 to: % 54.80/22.44 | (246) ~ (all_0_39_39 = e3) % 54.80/22.44 | % 54.80/22.44 | Equations (522) can reduce 19 to: % 54.80/22.44 | (409) ~ (all_0_46_46 = e3) % 54.80/22.44 | % 54.80/22.44 | Equations (522) can reduce 86 to: % 54.80/22.44 | (524) ~ (all_0_49_49 = e3) % 54.80/22.44 | % 54.80/22.44 | Simplifying 524 yields: % 54.80/22.44 | (525) ~ (all_0_49_49 = e3) % 54.80/22.44 | % 54.80/22.44 | Equations (522) can reduce 462 to: % 54.80/22.44 | (213) ~ (e3 = e1) % 54.80/22.44 | % 54.80/22.44 | From (522) and (23) follows: % 54.80/22.44 | (531) op(e2, e2) = e3 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (163), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (565) all_0_52_52 = e4 % 54.80/22.44 | % 54.80/22.44 | Equations (565) can reduce 46 to: % 54.80/22.44 | (1452) ~ (all_0_53_53 = e4) % 54.80/22.44 | % 54.80/22.44 | Simplifying 1452 yields: % 54.80/22.44 | (1453) ~ (all_0_53_53 = e4) % 54.80/22.44 | % 54.80/22.44 | Equations (565) can reduce 166 to: % 54.80/22.44 | (188) ~ (e4 = e3) % 54.80/22.44 | % 54.80/22.44 | Equations (565) can reduce 342 to: % 54.80/22.44 | (48) ~ (e4 = e2) % 54.80/22.44 | % 54.80/22.44 | From (565) and (124) follows: % 54.80/22.44 | (570) op(e1, e1) = e4 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (7), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (504) all_0_51_51 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (504) can reduce 139 to: % 54.80/22.44 | (294) ~ (all_0_39_39 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (504) can reduce 16 to: % 54.80/22.44 | (510) ~ (all_0_56_56 = e2) % 54.80/22.44 | % 54.80/22.44 | Simplifying 510 yields: % 54.80/22.44 | (511) ~ (all_0_56_56 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (504) can reduce 464 to: % 54.80/22.44 | (122) ~ (e2 = e1) % 54.80/22.44 | % 54.80/22.44 | From (504) and (177) follows: % 54.80/22.44 | (514) op(e2, e2) = all_0_25_25 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (12), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (442) all_0_57_57 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (442) can reduce 344 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (344) ~ (all_0_57_57 = e2) % 54.80/22.44 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (160), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (601) all_0_50_50 = e1 % 54.80/22.44 | % 54.80/22.44 | Combining equations (415,601) yields a new equation: % 54.80/22.44 | (454) e3 = e1 % 54.80/22.44 | % 54.80/22.44 | Simplifying 454 yields: % 54.80/22.44 | (455) e3 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (455) can reduce 213 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (759) ~ (all_0_50_50 = e1) % 54.80/22.44 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (389), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (833) all_0_56_56 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (833) can reduce 511 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (511) ~ (all_0_56_56 = e2) % 54.80/22.44 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (1709), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (442) all_0_57_57 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (442) can reduce 344 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (344) ~ (all_0_57_57 = e2) % 54.80/22.44 | (624) all_0_58_58 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (624) can reduce 178 to: % 54.80/22.44 | (296) ~ (all_0_40_40 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (624) can reduce 10 to: % 54.80/22.44 | (509) ~ (all_0_53_53 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (624) can reduce 3 to: % 54.80/22.44 | (304) ~ (all_0_55_55 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (624) can reduce 44 to: % 54.80/22.44 | (511) ~ (all_0_56_56 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (624) can reduce 148 to: % 54.80/22.44 | (344) ~ (all_0_57_57 = e2) % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (1168), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (1109) all_0_51_51 = e1 % 54.80/22.44 | % 54.80/22.44 | Combining equations (504,1109) yields a new equation: % 54.80/22.44 | (616) e2 = e1 % 54.80/22.44 | % 54.80/22.44 | Simplifying 616 yields: % 54.80/22.44 | (617) e2 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (617) can reduce 122 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (464) ~ (all_0_51_51 = e1) % 54.80/22.44 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (504) can reduce 464 to: % 54.80/22.44 | (122) ~ (e2 = e1) % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (434), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (615) all_0_48_48 = e1 % 54.80/22.44 | % 54.80/22.44 | Combining equations (335,615) yields a new equation: % 54.80/22.44 | (616) e2 = e1 % 54.80/22.44 | % 54.80/22.44 | Simplifying 616 yields: % 54.80/22.44 | (617) e2 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (617) can reduce 122 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (619) ~ (all_0_48_48 = e1) % 54.80/22.44 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (620), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (642) all_0_52_52 = e1 % 54.80/22.44 | % 54.80/22.44 | Combining equations (565,642) yields a new equation: % 54.80/22.44 | (636) e4 = e1 % 54.80/22.44 | % 54.80/22.44 | Simplifying 636 yields: % 54.80/22.44 | (630) e4 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (630) can reduce 110 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (646) ~ (all_0_52_52 = e1) % 54.80/22.44 | (647) all_0_57_57 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (647) can reduce 81 to: % 54.80/22.44 | (632) ~ (all_0_55_55 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (647) can reduce 67 to: % 54.80/22.44 | (467) ~ (e3 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 467 yields: % 54.80/22.44 | (213) ~ (e3 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (647) can reduce 344 to: % 54.80/22.44 | (604) ~ (e2 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 604 yields: % 54.80/22.44 | (122) ~ (e2 = e1) % 54.80/22.44 | % 54.80/22.44 | From (647) and (45) follows: % 54.80/22.44 | (653) op(e1, e1) = all_0_36_36 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (174), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (386) all_0_55_55 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (386) can reduce 304 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (304) ~ (all_0_55_55 = e2) % 54.80/22.44 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (2051), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (587) all_0_55_55 = e4 % 54.80/22.44 | % 54.80/22.44 | Equations (587) can reduce 763 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (763) ~ (all_0_55_55 = e4) % 54.80/22.44 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (2055), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (858) all_0_55_55 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (858) can reduce 58 to: % 54.80/22.44 | (831) ~ (all_0_46_46 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (858) can reduce 153 to: % 54.80/22.44 | (1181) ~ (all_0_56_56 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 1181 yields: % 54.80/22.44 | (828) ~ (all_0_56_56 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (858) can reduce 270 to: % 54.80/22.44 | (541) ~ (e3 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 541 yields: % 54.80/22.44 | (80) ~ (e3 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (858) can reduce 632 to: % 54.80/22.44 | (435) ~ (e1 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 435 yields: % 54.80/22.44 | (233) ~ (e1 = e0) % 54.80/22.44 | % 54.80/22.44 | From (858) and (187) follows: % 54.80/22.44 | (2064) op(e0, e3) = all_0_32_32 % 54.80/22.44 | % 54.80/22.44 | From (858) and (74) follows: % 54.80/22.44 | (752) op(e0, e3) = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (104), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (480) all_0_39_39 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (480) can reduce 246 to: % 54.80/22.44 | (541) ~ (e3 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 541 yields: % 54.80/22.44 | (80) ~ (e3 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (480) can reduce 294 to: % 54.80/22.44 | (365) ~ (e2 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 365 yields: % 54.80/22.44 | (128) ~ (e2 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (480) can reduce 151 to: % 54.80/22.44 | (435) ~ (e1 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 435 yields: % 54.80/22.44 | (233) ~ (e1 = e0) % 54.80/22.44 | % 54.80/22.44 | From (480) and (182) follows: % 54.80/22.44 | (1412) op(e0, e4) = all_0_2_2 % 54.80/22.44 | % 54.80/22.44 | From (480) and (38) follows: % 54.80/22.44 | (1413) op(e0, e2) = all_0_3_3 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (184), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (538) all_0_46_46 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (538) can reduce 831 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (831) ~ (all_0_46_46 = e0) % 54.80/22.44 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (832), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (674) all_0_47_47 = e0 % 54.80/22.44 | % 54.80/22.44 | Combining equations (522,674) yields a new equation: % 54.80/22.44 | (675) e3 = e0 % 54.80/22.44 | % 54.80/22.44 | Simplifying 675 yields: % 54.80/22.44 | (676) e3 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (676) can reduce 80 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (678) ~ (all_0_47_47 = e0) % 54.80/22.44 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (1278), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (1279) all_0_48_48 = e0 % 54.80/22.44 | % 54.80/22.44 | Combining equations (335,1279) yields a new equation: % 54.80/22.44 | (391) e2 = e0 % 54.80/22.44 | % 54.80/22.44 | Simplifying 391 yields: % 54.80/22.44 | (330) e2 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (330) can reduce 128 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (1283) ~ (all_0_48_48 = e0) % 54.80/22.44 | (978) all_0_49_49 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (978) can reduce 200 to: % 54.80/22.44 | (1401) ~ (all_0_40_40 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (978) can reduce 208 to: % 54.80/22.44 | (831) ~ (all_0_46_46 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (978) can reduce 65 to: % 54.80/22.44 | (488) ~ (all_0_53_53 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 488 yields: % 54.80/22.44 | (247) ~ (all_0_53_53 = e0) % 54.80/22.44 | % 54.80/22.44 | Equations (978) can reduce 256 to: % 54.80/22.44 | (401) ~ (e4 = e0) % 54.80/22.44 | % 54.80/22.44 | Simplifying 401 yields: % 54.80/22.44 | (49) ~ (e4 = e0) % 54.80/22.44 | % 54.80/22.44 | From (978) and (129) follows: % 54.80/22.44 | (2097) op(e0, e2) = all_0_20_20 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (135), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (545) all_0_46_46 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (545) can reduce 409 to: % 54.80/22.44 | (467) ~ (e3 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 467 yields: % 54.80/22.44 | (213) ~ (e3 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (545) can reduce 300 to: % 54.80/22.44 | (604) ~ (e2 = e1) % 54.80/22.44 | % 54.80/22.44 | Simplifying 604 yields: % 54.80/22.44 | (122) ~ (e2 = e1) % 54.80/22.44 | % 54.80/22.44 | Equations (545) can reduce 831 to: % 54.80/22.44 | (233) ~ (e1 = e0) % 54.80/22.44 | % 54.80/22.44 | From (545) and (33) follows: % 54.80/22.44 | (2104) op(e1, e3) = all_0_16_16 % 54.80/22.44 | % 54.80/22.44 | From (545) and (120) follows: % 54.80/22.44 | (2105) op(e2, e3) = e1 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (196), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (607) all_0_53_53 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (607) can reduce 509 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (509) ~ (all_0_53_53 = e2) % 54.80/22.44 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (164), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (471) all_0_39_39 = e4 % 54.80/22.44 | % 54.80/22.44 | Combining equations (471,480) yields a new equation: % 54.80/22.44 | (481) e4 = e0 % 54.80/22.44 | % 54.80/22.44 | Simplifying 481 yields: % 54.80/22.44 | (397) e4 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (397) can reduce 49 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (1377) ~ (all_0_39_39 = e4) % 54.80/22.44 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (112), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (635) all_0_44_44 = e1 % 54.80/22.44 | % 54.80/22.44 | Combining equations (532,635) yields a new equation: % 54.80/22.44 | (454) e3 = e1 % 54.80/22.44 | % 54.80/22.44 | Simplifying 454 yields: % 54.80/22.44 | (455) e3 = e1 % 54.80/22.44 | % 54.80/22.44 | Equations (455) can reduce 213 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (639) ~ (all_0_44_44 = e1) % 54.80/22.44 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (133), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (833) all_0_56_56 = e2 % 54.80/22.44 | % 54.80/22.44 | Equations (833) can reduce 511 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (511) ~ (all_0_56_56 = e2) % 54.80/22.44 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (171), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (265) all_0_54_54 = e4 % 54.80/22.44 | % 54.80/22.44 | Combining equations (268,265) yields a new equation: % 54.80/22.44 | (425) e4 = e3 % 54.80/22.44 | % 54.80/22.44 | Equations (425) can reduce 188 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (258) ~ (all_0_54_54 = e4) % 54.80/22.44 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (150), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (1378) all_0_40_40 = e4 % 54.80/22.44 | % 54.80/22.44 | Equations (1378) can reduce 162 to: % 54.80/22.44 | (1452) ~ (all_0_53_53 = e4) % 54.80/22.44 | % 54.80/22.44 | Simplifying 1452 yields: % 54.80/22.44 | (1453) ~ (all_0_53_53 = e4) % 54.80/22.44 | % 54.80/22.44 | Equations (1378) can reduce 296 to: % 54.80/22.44 | (48) ~ (e4 = e2) % 54.80/22.44 | % 54.80/22.44 | Equations (1378) can reduce 1401 to: % 54.80/22.44 | (49) ~ (e4 = e0) % 54.80/22.44 | % 54.80/22.44 | From (1378) and (34) follows: % 54.80/22.44 | (1455) op(e4, e4) = all_0_4_4 % 54.80/22.44 | % 54.80/22.44 +-Applying beta-rule and splitting (640), into two cases. % 54.80/22.44 |-Branch one: % 54.80/22.44 | (671) all_0_49_49 = e1 % 54.80/22.44 | % 54.80/22.44 | Combining equations (978,671) yields a new equation: % 54.80/22.44 | (431) e1 = e0 % 54.80/22.44 | % 54.80/22.44 | Equations (431) can reduce 233 to: % 54.80/22.44 | (266) $false % 54.80/22.44 | % 54.80/22.44 |-The branch is then unsatisfiable % 54.80/22.44 |-Branch two: % 54.80/22.44 | (1064) ~ (all_0_49_49 = e1) % 54.80/22.45 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (610), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (1298) all_0_53_53 = e4 % 54.80/22.45 | % 54.80/22.45 | Equations (1298) can reduce 1453 to: % 54.80/22.45 | (266) $false % 54.80/22.45 | % 54.80/22.45 |-The branch is then unsatisfiable % 54.80/22.45 |-Branch two: % 54.80/22.45 | (1453) ~ (all_0_53_53 = e4) % 54.80/22.45 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (2141), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (1208) all_0_53_53 = e1 % 54.80/22.45 | % 54.80/22.45 | Equations (1208) can reduce 1453 to: % 54.80/22.45 | (602) ~ (e4 = e1) % 54.80/22.45 | % 54.80/22.45 | Simplifying 602 yields: % 54.80/22.45 | (110) ~ (e4 = e1) % 54.80/22.45 | % 54.80/22.45 | Equations (1208) can reduce 509 to: % 54.80/22.45 | (604) ~ (e2 = e1) % 54.80/22.45 | % 54.80/22.45 | Simplifying 604 yields: % 54.80/22.45 | (122) ~ (e2 = e1) % 54.80/22.45 | % 54.80/22.45 | Equations (1208) can reduce 247 to: % 54.80/22.45 | (233) ~ (e1 = e0) % 54.80/22.45 | % 54.80/22.45 | From (1208) and (92) follows: % 54.80/22.45 | (2152) op(e1, e1) = all_0_27_27 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (836), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (842) all_0_56_56 = e4 % 54.80/22.45 | % 54.80/22.45 | From (842) and (111) follows: % 54.80/22.45 | (2154) op(e0, e2) = e4 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 54.80/22.45 | (1587) all_0_4_4 = e1 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 54.80/22.45 | (2156) all_0_12_12 = e3 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e2, e2, e3, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = e3, yields: % 54.80/22.45 | (683) all_0_25_25 = e3 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e1, e3, all_0_7_7, e3 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e3, yields: % 54.80/22.45 | (2158) all_0_7_7 = e3 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e1, e3, all_0_16_16, all_0_7_7 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_16_16, yields: % 54.80/22.45 | (2159) all_0_7_7 = all_0_16_16 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e1, e1, all_0_36_36, all_0_27_27 and discharging atoms op(e1, e1) = all_0_27_27, op(e1, e1) = all_0_36_36, yields: % 54.80/22.45 | (2160) all_0_27_27 = all_0_36_36 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e1, e1, e4, all_0_27_27 and discharging atoms op(e1, e1) = all_0_27_27, op(e1, e1) = e4, yields: % 54.80/22.45 | (2161) all_0_27_27 = e4 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 54.80/22.45 | (1595) all_0_2_2 = e3 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e3, e0, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = e0, yields: % 54.80/22.45 | (2163) all_0_32_32 = e0 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e2, all_0_20_20, all_0_3_3 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = all_0_20_20, yields: % 54.80/22.45 | (2164) all_0_3_3 = all_0_20_20 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e2, e4, all_0_3_3 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e4, yields: % 54.80/22.45 | (2165) all_0_3_3 = e4 % 54.80/22.45 | % 54.80/22.45 | Combining equations (2165,2164) yields a new equation: % 54.80/22.45 | (2166) all_0_20_20 = e4 % 54.80/22.45 | % 54.80/22.45 | Combining equations (2158,2159) yields a new equation: % 54.80/22.45 | (2167) all_0_16_16 = e3 % 54.80/22.45 | % 54.80/22.45 | Combining equations (2161,2160) yields a new equation: % 54.80/22.45 | (690) all_0_36_36 = e4 % 54.80/22.45 | % 54.80/22.45 | From (1587) and (1455) follows: % 54.80/22.45 | (41) op(e4, e4) = e1 % 54.80/22.45 | % 54.80/22.45 | From (2156) and (1954) follows: % 54.80/22.45 | (1639) op(e3, e0) = e3 % 54.80/22.45 | % 54.80/22.45 | From (683) and (514) follows: % 54.80/22.45 | (531) op(e2, e2) = e3 % 54.80/22.45 | % 54.80/22.45 | From (2167) and (2104) follows: % 54.80/22.45 | (1934) op(e1, e3) = e3 % 54.80/22.45 | % 54.80/22.45 | From (690) and (653) follows: % 54.80/22.45 | (570) op(e1, e1) = e4 % 54.80/22.45 | % 54.80/22.45 | From (1595) and (1412) follows: % 54.80/22.45 | (283) op(e0, e4) = e3 % 54.80/22.45 | % 54.80/22.45 | From (2163) and (2064) follows: % 54.80/22.45 | (752) op(e0, e3) = e0 % 54.80/22.45 | % 54.80/22.45 | From (2166) and (2097) follows: % 54.80/22.45 | (2154) op(e0, e2) = e4 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (56), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (696) unit = e2 % 54.80/22.45 | % 54.80/22.45 | From (696) and (24) follows: % 54.80/22.45 | (697) op(e2, e3) = e3 % 54.80/22.45 | % 54.80/22.45 | From (696) and (32) follows: % 54.80/22.45 | (698) op(e2, e2) = e2 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 54.80/22.45 | (455) e3 = e1 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 54.80/22.45 | (662) e3 = e2 % 54.80/22.45 | % 54.80/22.45 | Combining equations (662,455) yields a new equation: % 54.80/22.45 | (616) e2 = e1 % 54.80/22.45 | % 54.80/22.45 | Simplifying 616 yields: % 54.80/22.45 | (617) e2 = e1 % 54.80/22.45 | % 54.80/22.45 | Equations (617) can reduce 122 to: % 54.80/22.45 | (266) $false % 54.80/22.45 | % 54.80/22.45 |-The branch is then unsatisfiable % 54.80/22.45 |-Branch two: % 54.80/22.45 | (707) ~ (unit = e2) % 54.80/22.45 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (708), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (709) unit = e4 % 54.80/22.45 | % 54.80/22.45 | From (709) and (227) follows: % 54.80/22.45 | (710) op(e4, e4) = e4 % 54.80/22.45 | % 54.80/22.45 | From (709) and (40) follows: % 54.80/22.45 | (711) op(e3, e4) = e3 % 54.80/22.45 | % 54.80/22.45 | From (709) and (32) follows: % 54.80/22.45 | (712) op(e2, e4) = e2 % 54.80/22.45 | % 54.80/22.45 | From (709) and (42) follows: % 54.80/22.45 | (713) op(e0, e4) = e0 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 54.80/22.45 | (630) e4 = e1 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 54.80/22.45 | (662) e3 = e2 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 54.80/22.45 | (323) e4 = e2 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 54.80/22.45 | (676) e3 = e0 % 54.80/22.45 | % 54.80/22.45 | Combining equations (630,323) yields a new equation: % 54.80/22.45 | (617) e2 = e1 % 54.80/22.45 | % 54.80/22.45 | Combining equations (662,676) yields a new equation: % 54.80/22.45 | (391) e2 = e0 % 54.80/22.45 | % 54.80/22.45 | Simplifying 391 yields: % 54.80/22.45 | (330) e2 = e0 % 54.80/22.45 | % 54.80/22.45 | Combining equations (617,330) yields a new equation: % 54.80/22.45 | (546) e1 = e0 % 54.80/22.45 | % 54.80/22.45 | Simplifying 546 yields: % 54.80/22.45 | (431) e1 = e0 % 54.80/22.45 | % 54.80/22.45 | Equations (431) can reduce 233 to: % 54.80/22.45 | (266) $false % 54.80/22.45 | % 54.80/22.45 |-The branch is then unsatisfiable % 54.80/22.45 |-Branch two: % 54.80/22.45 | (724) ~ (unit = e4) % 54.80/22.45 | (725) unit = e3 | unit = e1 | unit = e0 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (725), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (726) unit = e0 % 54.80/22.45 | % 54.80/22.45 | Equations (726) can reduce 707 to: % 54.80/22.45 | (365) ~ (e2 = e0) % 54.80/22.45 | % 54.80/22.45 | Simplifying 365 yields: % 54.80/22.45 | (128) ~ (e2 = e0) % 54.80/22.45 | % 54.80/22.45 | From (726) and (244) follows: % 54.80/22.45 | (2207) op(e0, e4) = e4 % 54.80/22.45 | % 54.80/22.45 | From (726) and (24) follows: % 54.80/22.45 | (2208) op(e0, e3) = e3 % 54.80/22.45 | % 54.80/22.45 | From (726) and (15) follows: % 54.80/22.45 | (1508) op(e0, e2) = e2 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 54.80/22.45 | (425) e4 = e3 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 54.80/22.45 | (676) e3 = e0 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 54.80/22.45 | (323) e4 = e2 % 54.80/22.45 | % 54.80/22.45 | Combining equations (323,425) yields a new equation: % 54.80/22.45 | (662) e3 = e2 % 54.80/22.45 | % 54.80/22.45 | Combining equations (662,676) yields a new equation: % 54.80/22.45 | (391) e2 = e0 % 54.80/22.45 | % 54.80/22.45 | Simplifying 391 yields: % 54.80/22.45 | (330) e2 = e0 % 54.80/22.45 | % 54.80/22.45 | Equations (330) can reduce 128 to: % 54.80/22.45 | (266) $false % 54.80/22.45 | % 54.80/22.45 |-The branch is then unsatisfiable % 54.80/22.45 |-Branch two: % 54.80/22.45 | (734) ~ (unit = e0) % 54.80/22.45 | (735) unit = e3 | unit = e1 % 54.80/22.45 | % 54.80/22.45 +-Applying beta-rule and splitting (735), into two cases. % 54.80/22.45 |-Branch one: % 54.80/22.45 | (736) unit = e1 % 54.80/22.45 | % 54.80/22.45 | Equations (736) can reduce 734 to: % 54.80/22.45 | (233) ~ (e1 = e0) % 54.80/22.45 | % 54.80/22.45 | From (736) and (227) follows: % 54.80/22.45 | (739) op(e4, e1) = e4 % 54.80/22.45 | % 54.80/22.45 | From (736) and (40) follows: % 54.80/22.45 | (1652) op(e3, e1) = e3 % 54.80/22.45 | % 54.80/22.45 | From (736) and (28) follows: % 54.80/22.45 | (740) op(e1, e1) = e1 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 54.80/22.45 | (425) e4 = e3 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 54.80/22.45 | (676) e3 = e0 % 54.80/22.45 | % 54.80/22.45 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 54.80/22.45 | (630) e4 = e1 % 54.80/22.45 | % 54.80/22.45 | Combining equations (425,630) yields a new equation: % 54.80/22.45 | (454) e3 = e1 % 54.80/22.45 | % 54.80/22.45 | Simplifying 454 yields: % 54.80/22.45 | (455) e3 = e1 % 54.80/22.45 | % 54.80/22.45 | Combining equations (455,676) yields a new equation: % 54.80/22.45 | (546) e1 = e0 % 54.80/22.45 | % 54.80/22.45 | Simplifying 546 yields: % 54.80/22.45 | (431) e1 = e0 % 54.80/22.45 | % 54.80/22.45 | Equations (431) can reduce 233 to: % 54.80/22.45 | (266) $false % 54.80/22.45 | % 54.80/22.45 |-The branch is then unsatisfiable % 54.80/22.45 |-Branch two: % 54.80/22.45 | (748) ~ (unit = e1) % 54.80/22.45 | (749) unit = e3 % 54.80/22.45 | % 54.80/22.45 | From (749) and (209) follows: % 54.80/22.45 | (1667) op(e3, e0) = e0 % 54.80/22.45 | % 54.80/22.45 | From (749) and (28) follows: % 54.80/22.45 | (2235) op(e1, e3) = e1 % 54.80/22.46 | % 54.80/22.46 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 54.80/22.46 | (676) e3 = e0 % 54.80/22.46 | % 54.80/22.46 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 54.80/22.46 | (455) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (676,455) yields a new equation: % 54.80/22.46 | (431) e1 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (431) can reduce 233 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (477) ~ (all_0_56_56 = e4) % 54.80/22.46 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (2115), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (1392) all_0_42_42 = e4 % 54.80/22.46 | % 54.80/22.46 | Combining equations (459,1392) yields a new equation: % 54.80/22.46 | (630) e4 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (630) can reduce 110 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (1890) ~ (all_0_42_42 = e4) % 54.80/22.46 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 54.80/22.46 | % 54.80/22.46 | Equations (459) can reduce 1890 to: % 54.80/22.46 | (602) ~ (e4 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 602 yields: % 54.80/22.46 | (110) ~ (e4 = e1) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (575), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (587) all_0_55_55 = e4 % 54.80/22.46 | % 54.80/22.46 | Combining equations (858,587) yields a new equation: % 54.80/22.46 | (397) e4 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (397) can reduce 49 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (763) ~ (all_0_55_55 = e4) % 54.80/22.46 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (764), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (842) all_0_56_56 = e4 % 54.80/22.46 | % 54.80/22.46 | Equations (842) can reduce 477 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (477) ~ (all_0_56_56 = e4) % 54.80/22.46 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (935), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (871) all_0_57_57 = e4 % 54.80/22.46 | % 54.80/22.46 | Combining equations (647,871) yields a new equation: % 54.80/22.46 | (630) e4 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (630) can reduce 110 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (839) ~ (all_0_57_57 = e4) % 54.80/22.46 | (910) all_0_58_58 = e4 % 54.80/22.46 | % 54.80/22.46 | Combining equations (624,910) yields a new equation: % 54.80/22.46 | (323) e4 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (323) can reduce 48 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (1459) ~ (all_0_53_53 = e1) % 54.80/22.46 | (918) all_0_58_58 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (624,918) yields a new equation: % 54.80/22.46 | (616) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Simplifying 616 yields: % 54.80/22.46 | (617) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (617) can reduce 122 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (447) ~ (all_0_40_40 = e4) % 54.80/22.46 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (316), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (1378) all_0_40_40 = e4 % 54.80/22.46 | % 54.80/22.46 | Equations (1378) can reduce 447 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (447) ~ (all_0_40_40 = e4) % 54.80/22.46 | (485) all_0_40_40 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (485) can reduce 1401 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (549) ~ (all_0_46_46 = e1) % 54.80/22.46 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (112), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (635) all_0_44_44 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (532,635) yields a new equation: % 54.80/22.46 | (454) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Simplifying 454 yields: % 54.80/22.46 | (455) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (455) can reduce 213 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (639) ~ (all_0_44_44 = e1) % 54.80/22.46 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (532) can reduce 639 to: % 54.80/22.46 | (213) ~ (e3 = e1) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (550), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (654) all_0_47_47 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (522,654) yields a new equation: % 54.80/22.46 | (454) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Simplifying 454 yields: % 54.80/22.46 | (455) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (455) can reduce 213 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (462) ~ (all_0_47_47 = e1) % 54.80/22.46 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (659), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (615) all_0_48_48 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (335,615) yields a new equation: % 54.80/22.46 | (616) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Simplifying 616 yields: % 54.80/22.46 | (617) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (617) can reduce 122 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (619) ~ (all_0_48_48 = e1) % 54.80/22.46 | (671) all_0_49_49 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (978,671) yields a new equation: % 54.80/22.46 | (431) e1 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (431) can reduce 233 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (484) ~ (all_0_39_39 = e0) % 54.80/22.46 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (558), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (559) all_0_42_42 = e0 % 54.80/22.46 | % 54.80/22.46 | Combining equations (459,559) yields a new equation: % 54.80/22.46 | (546) e1 = e0 % 54.80/22.46 | % 54.80/22.46 | Simplifying 546 yields: % 54.80/22.46 | (431) e1 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (431) can reduce 233 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (358) ~ (all_0_42_42 = e0) % 54.80/22.46 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (563), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (674) all_0_47_47 = e0 % 54.80/22.46 | % 54.80/22.46 | Combining equations (674,522) yields a new equation: % 54.80/22.46 | (676) e3 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (676) can reduce 80 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (678) ~ (all_0_47_47 = e0) % 54.80/22.46 | (679) all_0_56_56 = e0 % 54.80/22.46 | % 54.80/22.46 | Equations (679) can reduce 828 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (803) ~ (all_0_55_55 = e0) % 54.80/22.46 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (196), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (607) all_0_53_53 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (607) can reduce 509 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (509) ~ (all_0_53_53 = e2) % 54.80/22.46 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (610), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (1298) all_0_53_53 = e4 % 54.80/22.46 | % 54.80/22.46 | Equations (1298) can reduce 1453 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (1453) ~ (all_0_53_53 = e4) % 54.80/22.46 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (1694), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (1208) all_0_53_53 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (1208) can reduce 65 to: % 54.80/22.46 | (1064) ~ (all_0_49_49 = e1) % 54.80/22.46 | % 54.80/22.46 | Equations (1208) can reduce 903 to: % 54.80/22.46 | (467) ~ (e3 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 467 yields: % 54.80/22.46 | (213) ~ (e3 = e1) % 54.80/22.46 | % 54.80/22.46 | Equations (1208) can reduce 509 to: % 54.80/22.46 | (604) ~ (e2 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 604 yields: % 54.80/22.46 | (122) ~ (e2 = e1) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (135), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (545) all_0_46_46 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (545) can reduce 58 to: % 54.80/22.46 | (2331) ~ (all_0_55_55 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 2331 yields: % 54.80/22.46 | (632) ~ (all_0_55_55 = e1) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (2315), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (629) all_0_55_55 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (629) can reduce 632 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (632) ~ (all_0_55_55 = e1) % 54.80/22.46 | (2336) all_0_55_55 = e3 % 54.80/22.46 | % 54.80/22.46 | Equations (2336) can reduce 270 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (549) ~ (all_0_46_46 = e1) % 54.80/22.46 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (550), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (654) all_0_47_47 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (654,522) yields a new equation: % 54.80/22.46 | (455) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (455) can reduce 213 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (462) ~ (all_0_47_47 = e1) % 54.80/22.46 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (659), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (615) all_0_48_48 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (615,335) yields a new equation: % 54.80/22.46 | (617) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (617) can reduce 122 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (619) ~ (all_0_48_48 = e1) % 54.80/22.46 | (671) all_0_49_49 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (671) can reduce 1064 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (1459) ~ (all_0_53_53 = e1) % 54.80/22.46 | (665) all_0_53_53 = e3 % 54.80/22.46 | % 54.80/22.46 | Equations (665) can reduce 903 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (1099) ~ (all_0_51_51 = e2) % 54.80/22.46 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (12), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (442) all_0_57_57 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (442) can reduce 344 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (344) ~ (all_0_57_57 = e2) % 54.80/22.46 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (381), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (504) all_0_51_51 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (504) can reduce 1099 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (1099) ~ (all_0_51_51 = e2) % 54.80/22.46 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (1152), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (352) all_0_52_52 = e2 % 54.80/22.46 | % 54.80/22.46 | Combining equations (565,352) yields a new equation: % 54.80/22.46 | (322) e4 = e2 % 54.80/22.46 | % 54.80/22.46 | Simplifying 322 yields: % 54.80/22.46 | (323) e4 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (323) can reduce 48 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (342) ~ (all_0_52_52 = e2) % 54.80/22.46 | (607) all_0_53_53 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (607) can reduce 10 to: % 54.80/22.46 | (1186) ~ (all_0_58_58 = e2) % 54.80/22.46 | % 54.80/22.46 | Simplifying 1186 yields: % 54.80/22.46 | (908) ~ (all_0_58_58 = e2) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (389), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (833) all_0_56_56 = e2 % 54.80/22.46 | % 54.80/22.46 | Equations (833) can reduce 140 to: % 54.80/22.46 | (343) ~ (all_0_57_57 = e2) % 54.80/22.46 | % 54.80/22.46 | Simplifying 343 yields: % 54.80/22.46 | (344) ~ (all_0_57_57 = e2) % 54.80/22.46 | % 54.80/22.46 | Equations (833) can reduce 466 to: % 54.80/22.46 | (122) ~ (e2 = e1) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (434), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (615) all_0_48_48 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (335,615) yields a new equation: % 54.80/22.46 | (616) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Simplifying 616 yields: % 54.80/22.46 | (617) e2 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (617) can reduce 122 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (619) ~ (all_0_48_48 = e1) % 54.80/22.46 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (620), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (642) all_0_52_52 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (642,565) yields a new equation: % 54.80/22.46 | (630) e4 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (630) can reduce 110 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (646) ~ (all_0_52_52 = e1) % 54.80/22.46 | (647) all_0_57_57 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (647) can reduce 81 to: % 54.80/22.46 | (632) ~ (all_0_55_55 = e1) % 54.80/22.46 | % 54.80/22.46 | Equations (647) can reduce 148 to: % 54.80/22.46 | (879) ~ (all_0_58_58 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 879 yields: % 54.80/22.46 | (880) ~ (all_0_58_58 = e1) % 54.80/22.46 | % 54.80/22.46 | Equations (647) can reduce 67 to: % 54.80/22.46 | (467) ~ (e3 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 467 yields: % 54.80/22.46 | (213) ~ (e3 = e1) % 54.80/22.46 | % 54.80/22.46 | Equations (647) can reduce 344 to: % 54.80/22.46 | (604) ~ (e2 = e1) % 54.80/22.46 | % 54.80/22.46 | Simplifying 604 yields: % 54.80/22.46 | (122) ~ (e2 = e1) % 54.80/22.46 | % 54.80/22.46 +-Applying beta-rule and splitting (112), into two cases. % 54.80/22.46 |-Branch one: % 54.80/22.46 | (635) all_0_44_44 = e1 % 54.80/22.46 | % 54.80/22.46 | Combining equations (532,635) yields a new equation: % 54.80/22.46 | (454) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Simplifying 454 yields: % 54.80/22.46 | (455) e3 = e1 % 54.80/22.46 | % 54.80/22.46 | Equations (455) can reduce 213 to: % 54.80/22.46 | (266) $false % 54.80/22.46 | % 54.80/22.46 |-The branch is then unsatisfiable % 54.80/22.46 |-Branch two: % 54.80/22.46 | (639) ~ (all_0_44_44 = e1) % 54.80/22.46 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 54.80/22.46 | % 54.80/22.47 +-Applying beta-rule and splitting (640), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (671) all_0_49_49 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (671) can reduce 208 to: % 54.80/22.47 | (549) ~ (all_0_46_46 = e1) % 54.80/22.47 | % 54.80/22.47 | Equations (671) can reduce 525 to: % 54.80/22.47 | (467) ~ (e3 = e1) % 54.80/22.47 | % 54.80/22.47 | Simplifying 467 yields: % 54.80/22.47 | (213) ~ (e3 = e1) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (595), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (545) all_0_46_46 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (545) can reduce 549 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (549) ~ (all_0_46_46 = e1) % 54.80/22.47 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (600), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (601) all_0_50_50 = e1 % 54.80/22.47 | % 54.80/22.47 | Combining equations (415,601) yields a new equation: % 54.80/22.47 | (454) e3 = e1 % 54.80/22.47 | % 54.80/22.47 | Simplifying 454 yields: % 54.80/22.47 | (455) e3 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (455) can reduce 213 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (759) ~ (all_0_50_50 = e1) % 54.80/22.47 | (629) all_0_55_55 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (629) can reduce 632 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (1064) ~ (all_0_49_49 = e1) % 54.80/22.47 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (2141), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (1208) all_0_53_53 = e1 % 54.80/22.47 | % 54.80/22.47 | Combining equations (607,1208) yields a new equation: % 54.80/22.47 | (616) e2 = e1 % 54.80/22.47 | % 54.80/22.47 | Simplifying 616 yields: % 54.80/22.47 | (617) e2 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (617) can reduce 122 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (1459) ~ (all_0_53_53 = e1) % 54.80/22.47 | (918) all_0_58_58 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (918) can reduce 880 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (511) ~ (all_0_56_56 = e2) % 54.80/22.47 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (1709), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (442) all_0_57_57 = e2 % 54.80/22.47 | % 54.80/22.47 | Equations (442) can reduce 344 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (344) ~ (all_0_57_57 = e2) % 54.80/22.47 | (624) all_0_58_58 = e2 % 54.80/22.47 | % 54.80/22.47 | Equations (624) can reduce 908 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (780) ~ (all_0_52_52 = e4) % 54.80/22.47 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (355), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (565) all_0_52_52 = e4 % 54.80/22.47 | % 54.80/22.47 | Equations (565) can reduce 780 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (780) ~ (all_0_52_52 = e4) % 54.80/22.47 | (642) all_0_52_52 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (642) can reduce 11 to: % 54.80/22.47 | (2437) ~ (all_0_57_57 = e1) % 54.80/22.47 | % 54.80/22.47 | Simplifying 2437 yields: % 54.80/22.47 | (1670) ~ (all_0_57_57 = e1) % 54.80/22.47 | % 54.80/22.47 | Equations (642) can reduce 342 to: % 54.80/22.47 | (604) ~ (e2 = e1) % 54.80/22.47 | % 54.80/22.47 | Simplifying 604 yields: % 54.80/22.47 | (122) ~ (e2 = e1) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (12), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (442) all_0_57_57 = e2 % 54.80/22.47 | % 54.80/22.47 | Equations (442) can reduce 344 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (344) ~ (all_0_57_57 = e2) % 54.80/22.47 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (445), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (871) all_0_57_57 = e4 % 54.80/22.47 | % 54.80/22.47 | Equations (871) can reduce 364 to: % 54.80/22.47 | (49) ~ (e4 = e0) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (781), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (789), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (790), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (791), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (792), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 54.80/22.47 | % 54.80/22.47 | Applying alpha-rule on (793) yields: % 54.80/22.47 | (794) all_0_41_41 = e0 % 54.80/22.47 | (795) all_0_58_58 = e3 % 54.80/22.47 | (407) ~ (all_0_44_44 = e3) % 54.80/22.47 | % 54.80/22.47 | Combining equations (437,794) yields a new equation: % 54.80/22.47 | (481) e4 = e0 % 54.80/22.47 | % 54.80/22.47 | Simplifying 481 yields: % 54.80/22.47 | (397) e4 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (397) can reduce 49 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 54.80/22.47 | % 54.80/22.47 | Applying alpha-rule on (800) yields: % 54.80/22.47 | (794) all_0_41_41 = e0 % 54.80/22.47 | (795) all_0_58_58 = e3 % 54.80/22.47 | (803) ~ (all_0_55_55 = e0) % 54.80/22.47 | % 54.80/22.47 | Combining equations (437,794) yields a new equation: % 54.80/22.47 | (481) e4 = e0 % 54.80/22.47 | % 54.80/22.47 | Simplifying 481 yields: % 54.80/22.47 | (397) e4 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (397) can reduce 49 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 54.80/22.47 | % 54.80/22.47 | Applying alpha-rule on (807) yields: % 54.80/22.47 | (654) all_0_47_47 = e1 % 54.80/22.47 | (352) all_0_52_52 = e2 % 54.80/22.47 | (810) ~ (all_0_48_48 = e2) % 54.80/22.47 | % 54.80/22.47 | Combining equations (352,642) yields a new equation: % 54.80/22.47 | (616) e2 = e1 % 54.80/22.47 | % 54.80/22.47 | Simplifying 616 yields: % 54.80/22.47 | (617) e2 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (617) can reduce 122 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 54.80/22.47 | % 54.80/22.47 | Applying alpha-rule on (813) yields: % 54.80/22.47 | (654) all_0_47_47 = e1 % 54.80/22.47 | (352) all_0_52_52 = e2 % 54.80/22.47 | (464) ~ (all_0_51_51 = e1) % 54.80/22.47 | % 54.80/22.47 | Combining equations (352,642) yields a new equation: % 54.80/22.47 | (616) e2 = e1 % 54.80/22.47 | % 54.80/22.47 | Simplifying 616 yields: % 54.80/22.47 | (617) e2 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (617) can reduce 122 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 54.80/22.47 | % 54.80/22.47 | Applying alpha-rule on (819) yields: % 54.80/22.47 | (674) all_0_47_47 = e0 % 54.80/22.47 | (624) all_0_58_58 = e2 % 54.80/22.47 | (340) ~ (all_0_49_49 = e2) % 54.80/22.47 | % 54.80/22.47 | Combining equations (674,522) yields a new equation: % 54.80/22.47 | (676) e3 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (676) can reduce 80 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 54.80/22.47 | % 54.80/22.47 | Applying alpha-rule on (825) yields: % 54.80/22.47 | (674) all_0_47_47 = e0 % 54.80/22.47 | (624) all_0_58_58 = e2 % 54.80/22.47 | (828) ~ (all_0_56_56 = e0) % 54.80/22.47 | % 54.80/22.47 | Combining equations (674,522) yields a new equation: % 54.80/22.47 | (676) e3 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (676) can reduce 80 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (839) ~ (all_0_57_57 = e4) % 54.80/22.47 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (874), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (875) all_0_57_57 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (875) can reduce 364 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (364) ~ (all_0_57_57 = e0) % 54.80/22.47 | (647) all_0_57_57 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (647) can reduce 1670 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (1091) ~ (all_0_47_47 = e3) % 54.80/22.47 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (1092), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (660) all_0_51_51 = e3 % 54.80/22.47 | % 54.80/22.47 | Equations (660) can reduce 664 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (664) ~ (all_0_51_51 = e3) % 54.80/22.47 | (1097) all_0_56_56 = e3 % 54.80/22.47 | % 54.80/22.47 | Equations (1097) can reduce 272 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (1380) ~ (all_0_42_42 = e1) % 54.80/22.47 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (1969), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (559) all_0_42_42 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (559) can reduce 358 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (358) ~ (all_0_42_42 = e0) % 54.80/22.47 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (2510), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (459) all_0_42_42 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (459) can reduce 1380 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (1380) ~ (all_0_42_42 = e1) % 54.80/22.47 | (516) all_0_42_42 = e3 % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 405 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (407) ~ (all_0_44_44 = e3) % 54.80/22.47 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (537), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (884) all_0_49_49 = e3 % 54.80/22.47 | % 54.80/22.47 | Equations (884) can reduce 9 to: % 54.80/22.47 | (407) ~ (all_0_44_44 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (884) can reduce 65 to: % 54.80/22.47 | (1114) ~ (all_0_53_53 = e3) % 54.80/22.47 | % 54.80/22.47 | Simplifying 1114 yields: % 54.80/22.47 | (903) ~ (all_0_53_53 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (884) can reduce 119 to: % 54.80/22.47 | (275) ~ (all_0_58_58 = e3) % 54.80/22.47 | % 54.80/22.47 | Simplifying 275 yields: % 54.80/22.47 | (276) ~ (all_0_58_58 = e3) % 54.80/22.47 | % 54.80/22.47 | From (884) and (66) follows: % 54.80/22.47 | (1580) op(e3, e0) = all_0_21_21 % 54.80/22.47 | % 54.80/22.47 | From (884) and (55) follows: % 54.80/22.47 | (1581) op(e2, e0) = e3 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (26), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (446) all_0_44_44 = e4 % 54.80/22.47 | % 54.80/22.47 | Equations (446) can reduce 1390 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (1390) ~ (all_0_44_44 = e4) % 54.80/22.47 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (1391), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (1414) all_0_44_44 = e0 % 54.80/22.47 | % 54.80/22.47 | Equations (1414) can reduce 360 to: % 54.80/22.47 | (266) $false % 54.80/22.47 | % 54.80/22.47 |-The branch is then unsatisfiable % 54.80/22.47 |-Branch two: % 54.80/22.47 | (360) ~ (all_0_44_44 = e0) % 54.80/22.47 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (180), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (516) all_0_42_42 = e3 % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 145 to: % 54.80/22.47 | (246) ~ (all_0_39_39 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 73 to: % 54.80/22.47 | (406) ~ (all_0_44_44 = e3) % 54.80/22.47 | % 54.80/22.47 | Simplifying 406 yields: % 54.80/22.47 | (407) ~ (all_0_44_44 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 198 to: % 54.80/22.47 | (2538) ~ (all_0_47_47 = e3) % 54.80/22.47 | % 54.80/22.47 | Simplifying 2538 yields: % 54.80/22.47 | (1091) ~ (all_0_47_47 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 61 to: % 54.80/22.47 | (1925) ~ (all_0_51_51 = e3) % 54.80/22.47 | % 54.80/22.47 | Simplifying 1925 yields: % 54.80/22.47 | (664) ~ (all_0_51_51 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 236 to: % 54.80/22.47 | (271) ~ (all_0_56_56 = e3) % 54.80/22.47 | % 54.80/22.47 | Simplifying 271 yields: % 54.80/22.47 | (272) ~ (all_0_56_56 = e3) % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 51 to: % 54.80/22.47 | (212) ~ (e3 = e2) % 54.80/22.47 | % 54.80/22.47 | Equations (516) can reduce 358 to: % 54.80/22.47 | (80) ~ (e3 = e0) % 54.80/22.47 | % 54.80/22.47 +-Applying beta-rule and splitting (1417), into two cases. % 54.80/22.47 |-Branch one: % 54.80/22.47 | (635) all_0_44_44 = e1 % 54.80/22.47 | % 54.80/22.47 | Equations (635) can reduce 220 to: % 54.80/22.47 | (1458) ~ (all_0_53_53 = e1) % 54.80/22.47 | % 54.80/22.47 | Simplifying 1458 yields: % 54.80/22.47 | (1459) ~ (all_0_53_53 = e1) % 54.80/22.47 | % 54.80/22.47 | Equations (635) can reduce 181 to: % 54.80/22.47 | (879) ~ (all_0_58_58 = e1) % 54.80/22.47 | % 54.80/22.47 | Simplifying 879 yields: % 54.80/22.47 | (880) ~ (all_0_58_58 = e1) % 54.80/22.47 | % 54.80/22.47 | Equations (635) can reduce 1390 to: % 54.80/22.48 | (602) ~ (e4 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 602 yields: % 54.80/22.48 | (110) ~ (e4 = e1) % 54.80/22.48 | % 54.80/22.48 | Equations (635) can reduce 407 to: % 54.80/22.48 | (467) ~ (e3 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 467 yields: % 54.80/22.48 | (213) ~ (e3 = e1) % 54.80/22.48 | % 54.80/22.48 | From (635) and (70) follows: % 54.80/22.48 | (2555) op(e1, e0) = all_0_12_12 % 54.80/22.48 | % 54.80/22.48 | From (635) and (138) follows: % 54.80/22.48 | (1423) op(e3, e0) = e1 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e3, e0, e1, all_0_21_21 and discharging atoms op(e3, e0) = all_0_21_21, op(e3, e0) = e1, yields: % 54.80/22.48 | (1589) all_0_21_21 = e1 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e1, e0, all_0_12_12, all_0_53_53 and discharging atoms op(e1, e0) = all_0_12_12, op(e1, e0) = all_0_53_53, yields: % 54.80/22.48 | (2558) all_0_12_12 = all_0_53_53 % 54.80/22.48 | % 54.80/22.48 | From (1589) and (1580) follows: % 54.80/22.48 | (1423) op(e3, e0) = e1 % 54.80/22.48 | % 54.80/22.48 | From (2558) and (2555) follows: % 54.80/22.48 | (84) op(e1, e0) = all_0_53_53 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (196), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (607) all_0_53_53 = e2 % 54.80/22.48 | % 54.80/22.48 | Equations (607) can reduce 162 to: % 54.80/22.48 | (296) ~ (all_0_40_40 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (607) can reduce 6 to: % 54.80/22.48 | (1099) ~ (all_0_51_51 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (607) can reduce 46 to: % 54.80/22.48 | (342) ~ (all_0_52_52 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (607) can reduce 1459 to: % 54.80/22.48 | (122) ~ (e2 = e1) % 54.80/22.48 | % 54.80/22.48 | From (607) and (84) follows: % 54.80/22.48 | (2566) op(e1, e0) = e2 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (389), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (833) all_0_56_56 = e2 % 54.80/22.48 | % 54.80/22.48 | Equations (833) can reduce 91 to: % 54.80/22.48 | (338) ~ (all_0_47_47 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (833) can reduce 153 to: % 54.80/22.48 | (304) ~ (all_0_55_55 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (833) can reduce 140 to: % 54.80/22.48 | (343) ~ (all_0_57_57 = e2) % 54.80/22.48 | % 54.80/22.48 | Simplifying 343 yields: % 54.80/22.48 | (344) ~ (all_0_57_57 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (833) can reduce 44 to: % 54.80/22.48 | (1186) ~ (all_0_58_58 = e2) % 54.80/22.48 | % 54.80/22.48 | Simplifying 1186 yields: % 54.80/22.48 | (908) ~ (all_0_58_58 = e2) % 54.80/22.48 | % 54.80/22.48 | From (833) and (111) follows: % 54.80/22.48 | (1508) op(e0, e2) = e2 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (163), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (565) all_0_52_52 = e4 % 54.80/22.48 | % 54.80/22.48 | Equations (565) can reduce 11 to: % 54.80/22.48 | (838) ~ (all_0_57_57 = e4) % 54.80/22.48 | % 54.80/22.48 | Simplifying 838 yields: % 54.80/22.48 | (839) ~ (all_0_57_57 = e4) % 54.80/22.48 | % 54.80/22.48 | Equations (565) can reduce 166 to: % 54.80/22.48 | (188) ~ (e4 = e3) % 54.80/22.48 | % 54.80/22.48 | Equations (565) can reduce 342 to: % 54.80/22.48 | (48) ~ (e4 = e2) % 54.80/22.48 | % 54.80/22.48 | Equations (565) can reduce 72 to: % 54.80/22.48 | (49) ~ (e4 = e0) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (160), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (601) all_0_50_50 = e1 % 54.80/22.48 | % 54.80/22.48 | Combining equations (415,601) yields a new equation: % 54.80/22.48 | (454) e3 = e1 % 54.80/22.48 | % 54.80/22.48 | Simplifying 454 yields: % 54.80/22.48 | (455) e3 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (455) can reduce 213 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (759) ~ (all_0_50_50 = e1) % 54.80/22.48 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (12), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (442) all_0_57_57 = e2 % 54.80/22.48 | % 54.80/22.48 | Equations (442) can reduce 344 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (344) ~ (all_0_57_57 = e2) % 54.80/22.48 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (445), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (871) all_0_57_57 = e4 % 54.80/22.48 | % 54.80/22.48 | Equations (871) can reduce 839 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (839) ~ (all_0_57_57 = e4) % 54.80/22.48 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (1168), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (1109) all_0_51_51 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (1109) can reduce 139 to: % 54.80/22.48 | (151) ~ (all_0_39_39 = e1) % 54.80/22.48 | % 54.80/22.48 | Equations (1109) can reduce 664 to: % 54.80/22.48 | (467) ~ (e3 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 467 yields: % 54.80/22.48 | (213) ~ (e3 = e1) % 54.80/22.48 | % 54.80/22.48 | Equations (1109) can reduce 115 to: % 54.80/22.48 | (233) ~ (e1 = e0) % 54.80/22.48 | % 54.80/22.48 | From (1109) and (186) follows: % 54.80/22.48 | (699) op(e1, e2) = e1 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (105), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (1105) all_0_47_47 = e2 % 54.80/22.48 | % 54.80/22.48 | Equations (1105) can reduce 338 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (338) ~ (all_0_47_47 = e2) % 54.80/22.48 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (1789), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (1790) all_0_47_47 = e4 % 54.80/22.48 | % 54.80/22.48 | Equations (1790) can reduce 252 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (252) ~ (all_0_47_47 = e4) % 54.80/22.48 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (135), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (545) all_0_46_46 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (545) can reduce 19 to: % 54.80/22.48 | (461) ~ (all_0_47_47 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 461 yields: % 54.80/22.48 | (462) ~ (all_0_47_47 = e1) % 54.80/22.48 | % 54.80/22.48 | Equations (545) can reduce 58 to: % 54.80/22.48 | (2331) ~ (all_0_55_55 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 2331 yields: % 54.80/22.48 | (632) ~ (all_0_55_55 = e1) % 54.80/22.48 | % 54.80/22.48 | Equations (545) can reduce 250 to: % 54.80/22.48 | (602) ~ (e4 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 602 yields: % 54.80/22.48 | (110) ~ (e4 = e1) % 54.80/22.48 | % 54.80/22.48 | Equations (545) can reduce 300 to: % 54.80/22.48 | (604) ~ (e2 = e1) % 54.80/22.48 | % 54.80/22.48 | Simplifying 604 yields: % 54.80/22.48 | (122) ~ (e2 = e1) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (184), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (538) all_0_46_46 = e0 % 54.80/22.48 | % 54.80/22.48 | Combining equations (538,545) yields a new equation: % 54.80/22.48 | (431) e1 = e0 % 54.80/22.48 | % 54.80/22.48 | Equations (431) can reduce 233 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (831) ~ (all_0_46_46 = e0) % 54.80/22.48 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (216), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (629) all_0_55_55 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (629) can reduce 632 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (632) ~ (all_0_55_55 = e1) % 54.80/22.48 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (174), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (386) all_0_55_55 = e2 % 54.80/22.48 | % 54.80/22.48 | Equations (386) can reduce 304 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (304) ~ (all_0_55_55 = e2) % 54.80/22.48 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (2051), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (587) all_0_55_55 = e4 % 54.80/22.48 | % 54.80/22.48 | Equations (587) can reduce 763 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (763) ~ (all_0_55_55 = e4) % 54.80/22.48 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (2055), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (858) all_0_55_55 = e0 % 54.80/22.48 | % 54.80/22.48 | Equations (858) can reduce 81 to: % 54.80/22.48 | (363) ~ (all_0_57_57 = e0) % 54.80/22.48 | % 54.80/22.48 | Simplifying 363 yields: % 54.80/22.48 | (364) ~ (all_0_57_57 = e0) % 54.80/22.48 | % 54.80/22.48 | Equations (858) can reduce 3 to: % 54.80/22.48 | (490) ~ (all_0_58_58 = e0) % 54.80/22.48 | % 54.80/22.48 | Simplifying 490 yields: % 54.80/22.48 | (491) ~ (all_0_58_58 = e0) % 54.80/22.48 | % 54.80/22.48 | Equations (858) can reduce 763 to: % 54.80/22.48 | (401) ~ (e4 = e0) % 54.80/22.48 | % 54.80/22.48 | Simplifying 401 yields: % 54.80/22.48 | (49) ~ (e4 = e0) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (75), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (485) all_0_40_40 = e0 % 54.80/22.48 | % 54.80/22.48 | Equations (485) can reduce 178 to: % 54.80/22.48 | (490) ~ (all_0_58_58 = e0) % 54.80/22.48 | % 54.80/22.48 | Simplifying 490 yields: % 54.80/22.48 | (491) ~ (all_0_58_58 = e0) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (832), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (674) all_0_47_47 = e0 % 54.80/22.48 | % 54.80/22.48 | Equations (674) can reduce 79 to: % 54.80/22.48 | (484) ~ (all_0_39_39 = e0) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (320), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (471) all_0_39_39 = e4 % 54.80/22.48 | % 54.80/22.48 | Equations (471) can reduce 151 to: % 54.80/22.48 | (110) ~ (e4 = e1) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (108), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (624) all_0_58_58 = e2 % 54.80/22.48 | % 54.80/22.48 | Equations (624) can reduce 908 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (908) ~ (all_0_58_58 = e2) % 54.80/22.48 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (434), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (615) all_0_48_48 = e1 % 54.80/22.48 | % 54.80/22.48 | Combining equations (335,615) yields a new equation: % 54.80/22.48 | (616) e2 = e1 % 54.80/22.48 | % 54.80/22.48 | Simplifying 616 yields: % 54.80/22.48 | (617) e2 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (617) can reduce 122 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (619) ~ (all_0_48_48 = e1) % 54.80/22.48 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (909), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (910) all_0_58_58 = e4 % 54.80/22.48 | % 54.80/22.48 | Equations (910) can reduce 880 to: % 54.80/22.48 | (110) ~ (e4 = e1) % 54.80/22.48 | % 54.80/22.48 | From (910) and (245) follows: % 54.80/22.48 | (2661) op(e0, e0) = e4 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (620), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (642) all_0_52_52 = e1 % 54.80/22.48 | % 54.80/22.48 | Combining equations (565,642) yields a new equation: % 54.80/22.48 | (636) e4 = e1 % 54.80/22.48 | % 54.80/22.48 | Simplifying 636 yields: % 54.80/22.48 | (630) e4 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (630) can reduce 110 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (646) ~ (all_0_52_52 = e1) % 54.80/22.48 | (647) all_0_57_57 = e1 % 54.80/22.48 | % 54.80/22.48 | Equations (647) can reduce 364 to: % 54.80/22.48 | (233) ~ (e1 = e0) % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (56), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (696) unit = e2 % 54.80/22.48 | % 54.80/22.48 | From (696) and (211) follows: % 54.80/22.48 | (1612) op(e2, e1) = e1 % 54.80/22.48 | % 54.80/22.48 | From (696) and (42) follows: % 54.80/22.48 | (1613) op(e0, e2) = e0 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 54.80/22.48 | (617) e2 = e1 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 54.80/22.48 | (330) e2 = e0 % 54.80/22.48 | % 54.80/22.48 | Combining equations (330,617) yields a new equation: % 54.80/22.48 | (431) e1 = e0 % 54.80/22.48 | % 54.80/22.48 | Equations (431) can reduce 233 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (707) ~ (unit = e2) % 54.80/22.48 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (708), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (709) unit = e4 % 54.80/22.48 | % 54.80/22.48 | From (709) and (227) follows: % 54.80/22.48 | (710) op(e4, e4) = e4 % 54.80/22.48 | % 54.80/22.48 | From (709) and (40) follows: % 54.80/22.48 | (711) op(e3, e4) = e3 % 54.80/22.48 | % 54.80/22.48 | From (709) and (32) follows: % 54.80/22.48 | (712) op(e2, e4) = e2 % 54.80/22.48 | % 54.80/22.48 | From (709) and (42) follows: % 54.80/22.48 | (713) op(e0, e4) = e0 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 54.80/22.48 | (630) e4 = e1 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 54.80/22.48 | (662) e3 = e2 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 54.80/22.48 | (323) e4 = e2 % 54.80/22.48 | % 54.80/22.48 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 54.80/22.48 | (676) e3 = e0 % 54.80/22.48 | % 54.80/22.48 | Combining equations (323,630) yields a new equation: % 54.80/22.48 | (616) e2 = e1 % 54.80/22.48 | % 54.80/22.48 | Simplifying 616 yields: % 54.80/22.48 | (617) e2 = e1 % 54.80/22.48 | % 54.80/22.48 | Combining equations (662,676) yields a new equation: % 54.80/22.48 | (391) e2 = e0 % 54.80/22.48 | % 54.80/22.48 | Simplifying 391 yields: % 54.80/22.48 | (330) e2 = e0 % 54.80/22.48 | % 54.80/22.48 | Combining equations (330,617) yields a new equation: % 54.80/22.48 | (431) e1 = e0 % 54.80/22.48 | % 54.80/22.48 | Equations (431) can reduce 233 to: % 54.80/22.48 | (266) $false % 54.80/22.48 | % 54.80/22.48 |-The branch is then unsatisfiable % 54.80/22.48 |-Branch two: % 54.80/22.48 | (724) ~ (unit = e4) % 54.80/22.48 | (725) unit = e3 | unit = e1 | unit = e0 % 54.80/22.48 | % 54.80/22.48 +-Applying beta-rule and splitting (725), into two cases. % 54.80/22.48 |-Branch one: % 54.80/22.48 | (726) unit = e0 % 54.80/22.48 | % 54.80/22.48 | From (726) and (244) follows: % 54.80/22.48 | (2207) op(e0, e4) = e4 % 54.80/22.48 | % 54.80/22.48 | From (726) and (32) follows: % 54.80/22.48 | (727) op(e2, e0) = e2 % 54.80/22.48 | % 54.80/22.48 | From (726) and (28) follows: % 54.80/22.49 | (2698) op(e1, e0) = e1 % 54.80/22.49 | % 54.80/22.49 | From (726) and (42) follows: % 54.80/22.49 | (728) op(e0, e0) = e0 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 54.80/22.49 | (662) e3 = e2 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 54.80/22.49 | (617) e2 = e1 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 54.80/22.49 | (425) e4 = e3 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (425,397) yields a new equation: % 54.80/22.49 | (675) e3 = e0 % 54.80/22.49 | % 54.80/22.49 | Simplifying 675 yields: % 54.80/22.49 | (676) e3 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (662,676) yields a new equation: % 54.80/22.49 | (391) e2 = e0 % 54.80/22.49 | % 54.80/22.49 | Simplifying 391 yields: % 54.80/22.49 | (330) e2 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (330,617) yields a new equation: % 54.80/22.49 | (431) e1 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (431) can reduce 233 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (734) ~ (unit = e0) % 54.80/22.49 | (735) unit = e3 | unit = e1 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (735), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (736) unit = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (736) can reduce 734 to: % 54.80/22.49 | (233) ~ (e1 = e0) % 54.80/22.49 | % 54.80/22.49 | From (736) and (15) follows: % 54.80/22.49 | (515) op(e1, e2) = e2 % 54.80/22.49 | % 54.80/22.49 | From (736) and (209) follows: % 54.80/22.49 | (2715) op(e1, e0) = e0 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 54.80/22.49 | (617) e2 = e1 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 54.80/22.49 | (330) e2 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (330,617) yields a new equation: % 54.80/22.49 | (431) e1 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (431) can reduce 233 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (748) ~ (unit = e1) % 54.80/22.49 | (749) unit = e3 % 54.80/22.49 | % 54.80/22.49 | From (749) and (209) follows: % 54.80/22.49 | (1667) op(e3, e0) = e0 % 54.80/22.49 | % 54.80/22.49 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 54.80/22.49 | (431) e1 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (431) can reduce 233 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (451) ~ (all_0_58_58 = e4) % 54.80/22.49 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (620), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (642) all_0_52_52 = e1 % 54.80/22.49 | % 54.80/22.49 | Combining equations (565,642) yields a new equation: % 54.80/22.49 | (636) e4 = e1 % 54.80/22.49 | % 54.80/22.49 | Simplifying 636 yields: % 54.80/22.49 | (630) e4 = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (630) can reduce 110 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (646) ~ (all_0_52_52 = e1) % 54.80/22.49 | (647) all_0_57_57 = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (647) can reduce 148 to: % 54.80/22.49 | (879) ~ (all_0_58_58 = e1) % 54.80/22.49 | % 54.80/22.49 | Simplifying 879 yields: % 54.80/22.49 | (880) ~ (all_0_58_58 = e1) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (913), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (914) all_0_58_58 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (914) can reduce 491 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (491) ~ (all_0_58_58 = e0) % 54.80/22.49 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (917), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (918) all_0_58_58 = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (918) can reduce 880 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (880) ~ (all_0_58_58 = e1) % 54.80/22.49 | (795) all_0_58_58 = e3 % 54.80/22.49 | % 54.80/22.49 | Equations (795) can reduce 276 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (1377) ~ (all_0_39_39 = e4) % 54.80/22.49 | (480) all_0_39_39 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (480) can reduce 484 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (678) ~ (all_0_47_47 = e0) % 54.80/22.49 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (1793), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (674) all_0_47_47 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (674) can reduce 678 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (678) ~ (all_0_47_47 = e0) % 54.80/22.49 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (1831), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (654) all_0_47_47 = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (654) can reduce 462 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (462) ~ (all_0_47_47 = e1) % 54.80/22.49 | (522) all_0_47_47 = e3 % 54.80/22.49 | % 54.80/22.49 | Equations (522) can reduce 1091 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (1401) ~ (all_0_40_40 = e0) % 54.80/22.49 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (164), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (471) all_0_39_39 = e4 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (104), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (480) all_0_39_39 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (480,471) yields a new equation: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (484) ~ (all_0_39_39 = e0) % 54.80/22.49 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (471) can reduce 484 to: % 54.80/22.49 | (49) ~ (e4 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (333), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (480) all_0_39_39 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (480,471) yields a new equation: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (484) ~ (all_0_39_39 = e0) % 54.80/22.49 | (485) all_0_40_40 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (485) can reduce 1401 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (1377) ~ (all_0_39_39 = e4) % 54.80/22.49 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (333), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (480) all_0_39_39 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (480) can reduce 1377 to: % 54.80/22.49 | (401) ~ (e4 = e0) % 54.80/22.49 | % 54.80/22.49 | Simplifying 401 yields: % 54.80/22.49 | (49) ~ (e4 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (171), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (265) all_0_54_54 = e4 % 54.80/22.49 | % 54.80/22.49 | Combining equations (268,265) yields a new equation: % 54.80/22.49 | (425) e4 = e3 % 54.80/22.49 | % 54.80/22.49 | Equations (425) can reduce 188 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (258) ~ (all_0_54_54 = e4) % 54.80/22.49 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (575), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (587) all_0_55_55 = e4 % 54.80/22.49 | % 54.80/22.49 | Combining equations (858,587) yields a new equation: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (763) ~ (all_0_55_55 = e4) % 54.80/22.49 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (764), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (842) all_0_56_56 = e4 % 54.80/22.49 | % 54.80/22.49 | Combining equations (833,842) yields a new equation: % 54.80/22.49 | (323) e4 = e2 % 54.80/22.49 | % 54.80/22.49 | Equations (323) can reduce 48 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (477) ~ (all_0_56_56 = e4) % 54.80/22.49 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (935), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (871) all_0_57_57 = e4 % 54.80/22.49 | % 54.80/22.49 | Equations (871) can reduce 839 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (839) ~ (all_0_57_57 = e4) % 54.80/22.49 | (910) all_0_58_58 = e4 % 54.80/22.49 | % 54.80/22.49 | Equations (910) can reduce 178 to: % 54.80/22.49 | (447) ~ (all_0_40_40 = e4) % 54.80/22.49 | % 54.80/22.49 | Equations (910) can reduce 491 to: % 54.80/22.49 | (49) ~ (e4 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (326), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (471) all_0_39_39 = e4 % 54.80/22.49 | % 54.80/22.49 | Combining equations (471,480) yields a new equation: % 54.80/22.49 | (481) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Simplifying 481 yields: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (1377) ~ (all_0_39_39 = e4) % 54.80/22.49 | (1378) all_0_40_40 = e4 % 54.80/22.49 | % 54.80/22.49 | Equations (1378) can reduce 447 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (484) ~ (all_0_39_39 = e0) % 54.80/22.49 | (485) all_0_40_40 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (485) can reduce 1401 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (803) ~ (all_0_55_55 = e0) % 54.80/22.49 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (125), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (858) all_0_55_55 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (858) can reduce 803 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (803) ~ (all_0_55_55 = e0) % 54.80/22.49 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (633), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (1569) all_0_56_56 = e1 % 54.80/22.49 | % 54.80/22.49 | Combining equations (833,1569) yields a new equation: % 54.80/22.49 | (616) e2 = e1 % 54.80/22.49 | % 54.80/22.49 | Simplifying 616 yields: % 54.80/22.49 | (617) e2 = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (617) can reduce 122 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (466) ~ (all_0_56_56 = e1) % 54.80/22.49 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 54.80/22.49 | % 54.80/22.49 | Equations (833) can reduce 466 to: % 54.80/22.49 | (122) ~ (e2 = e1) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (164), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (471) all_0_39_39 = e4 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (104), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (480) all_0_39_39 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (480,471) yields a new equation: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (484) ~ (all_0_39_39 = e0) % 54.80/22.49 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (471) can reduce 484 to: % 54.80/22.49 | (49) ~ (e4 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (558), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (559) all_0_42_42 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (559,516) yields a new equation: % 54.80/22.49 | (676) e3 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (676) can reduce 80 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (358) ~ (all_0_42_42 = e0) % 54.80/22.49 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (333), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (480) all_0_39_39 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (480,471) yields a new equation: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (484) ~ (all_0_39_39 = e0) % 54.80/22.49 | (485) all_0_40_40 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (485) can reduce 178 to: % 54.80/22.49 | (490) ~ (all_0_58_58 = e0) % 54.80/22.49 | % 54.80/22.49 | Simplifying 490 yields: % 54.80/22.49 | (491) ~ (all_0_58_58 = e0) % 54.80/22.49 | % 54.80/22.49 | Equations (485) can reduce 296 to: % 54.80/22.49 | (365) ~ (e2 = e0) % 54.80/22.49 | % 54.80/22.49 | Simplifying 365 yields: % 54.80/22.49 | (128) ~ (e2 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (563), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (674) all_0_47_47 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (674) can reduce 462 to: % 54.80/22.49 | (435) ~ (e1 = e0) % 54.80/22.49 | % 54.80/22.49 | Simplifying 435 yields: % 54.80/22.49 | (233) ~ (e1 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (108), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (624) all_0_58_58 = e2 % 54.80/22.49 | % 54.80/22.49 | Equations (624) can reduce 908 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (908) ~ (all_0_58_58 = e2) % 54.80/22.49 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (909), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (910) all_0_58_58 = e4 % 54.80/22.49 | % 54.80/22.49 | Equations (910) can reduce 491 to: % 54.80/22.49 | (49) ~ (e4 = e0) % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (395), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (794) all_0_41_41 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (437,794) yields a new equation: % 54.80/22.49 | (481) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Simplifying 481 yields: % 54.80/22.49 | (397) e4 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (397) can reduce 49 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (357) ~ (all_0_41_41 = e0) % 54.80/22.49 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 54.80/22.49 | % 54.80/22.49 +-Applying beta-rule and splitting (895), into two cases. % 54.80/22.49 |-Branch one: % 54.80/22.49 | (538) all_0_46_46 = e0 % 54.80/22.49 | % 54.80/22.49 | Combining equations (545,538) yields a new equation: % 54.80/22.49 | (546) e1 = e0 % 54.80/22.49 | % 54.80/22.49 | Simplifying 546 yields: % 54.80/22.49 | (431) e1 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (431) can reduce 233 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.49 |-Branch two: % 54.80/22.49 | (831) ~ (all_0_46_46 = e0) % 54.80/22.49 | (858) all_0_55_55 = e0 % 54.80/22.49 | % 54.80/22.49 | Equations (858) can reduce 803 to: % 54.80/22.49 | (266) $false % 54.80/22.49 | % 54.80/22.49 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (451) ~ (all_0_58_58 = e4) % 54.80/22.50 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (913), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (914) all_0_58_58 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (914) can reduce 491 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (491) ~ (all_0_58_58 = e0) % 54.80/22.50 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (917), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (918) all_0_58_58 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (918) can reduce 880 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (880) ~ (all_0_58_58 = e1) % 54.80/22.50 | (795) all_0_58_58 = e3 % 54.80/22.50 | % 54.80/22.50 | Equations (795) can reduce 276 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (678) ~ (all_0_47_47 = e0) % 54.80/22.50 | (679) all_0_56_56 = e0 % 54.80/22.50 | % 54.80/22.50 | Combining equations (833,679) yields a new equation: % 54.80/22.50 | (391) e2 = e0 % 54.80/22.50 | % 54.80/22.50 | Simplifying 391 yields: % 54.80/22.50 | (330) e2 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (330) can reduce 128 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (1377) ~ (all_0_39_39 = e4) % 54.80/22.50 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (171), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (265) all_0_54_54 = e4 % 54.80/22.50 | % 54.80/22.50 | Combining equations (265,268) yields a new equation: % 54.80/22.50 | (424) e4 = e3 % 54.80/22.50 | % 54.80/22.50 | Simplifying 424 yields: % 54.80/22.50 | (425) e4 = e3 % 54.80/22.50 | % 54.80/22.50 | Equations (425) can reduce 188 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (258) ~ (all_0_54_54 = e4) % 54.80/22.50 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (434), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (615) all_0_48_48 = e1 % 54.80/22.50 | % 54.80/22.50 | Combining equations (615,335) yields a new equation: % 54.80/22.50 | (617) e2 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (617) can reduce 122 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (619) ~ (all_0_48_48 = e1) % 54.80/22.50 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (575), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (587) all_0_55_55 = e4 % 54.80/22.50 | % 54.80/22.50 | Equations (587) can reduce 763 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (763) ~ (all_0_55_55 = e4) % 54.80/22.50 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (620), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (642) all_0_52_52 = e1 % 54.80/22.50 | % 54.80/22.50 | Combining equations (565,642) yields a new equation: % 54.80/22.50 | (636) e4 = e1 % 54.80/22.50 | % 54.80/22.50 | Simplifying 636 yields: % 54.80/22.50 | (630) e4 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (630) can reduce 110 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (646) ~ (all_0_52_52 = e1) % 54.80/22.50 | (647) all_0_57_57 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (647) can reduce 839 to: % 54.80/22.50 | (602) ~ (e4 = e1) % 54.80/22.50 | % 54.80/22.50 | Simplifying 602 yields: % 54.80/22.50 | (110) ~ (e4 = e1) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (764), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (842) all_0_56_56 = e4 % 54.80/22.50 | % 54.80/22.50 | Combining equations (833,842) yields a new equation: % 54.80/22.50 | (323) e4 = e2 % 54.80/22.50 | % 54.80/22.50 | Equations (323) can reduce 48 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (477) ~ (all_0_56_56 = e4) % 54.80/22.50 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (935), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (871) all_0_57_57 = e4 % 54.80/22.50 | % 54.80/22.50 | Combining equations (871,647) yields a new equation: % 54.80/22.50 | (636) e4 = e1 % 54.80/22.50 | % 54.80/22.50 | Simplifying 636 yields: % 54.80/22.50 | (630) e4 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (630) can reduce 110 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (839) ~ (all_0_57_57 = e4) % 54.80/22.50 | (910) all_0_58_58 = e4 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (75), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (485) all_0_40_40 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (485) can reduce 176 to: % 54.80/22.50 | (484) ~ (all_0_39_39 = e0) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (104), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (480) all_0_39_39 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (480) can reduce 484 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (484) ~ (all_0_39_39 = e0) % 54.80/22.50 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (320), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (471) all_0_39_39 = e4 % 54.80/22.50 | % 54.80/22.50 | Equations (471) can reduce 1377 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (1377) ~ (all_0_39_39 = e4) % 54.80/22.50 | (480) all_0_39_39 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (480) can reduce 484 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (1401) ~ (all_0_40_40 = e0) % 54.80/22.50 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (333), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (480) all_0_39_39 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (480) can reduce 1377 to: % 54.80/22.50 | (401) ~ (e4 = e0) % 54.80/22.50 | % 54.80/22.50 | Simplifying 401 yields: % 54.80/22.50 | (49) ~ (e4 = e0) % 54.80/22.50 | % 54.80/22.50 | Equations (480) can reduce 246 to: % 54.80/22.50 | (541) ~ (e3 = e0) % 54.80/22.50 | % 54.80/22.50 | Simplifying 541 yields: % 54.80/22.50 | (80) ~ (e3 = e0) % 54.80/22.50 | % 54.80/22.50 | Equations (480) can reduce 151 to: % 54.80/22.50 | (435) ~ (e1 = e0) % 54.80/22.50 | % 54.80/22.50 | Simplifying 435 yields: % 54.80/22.50 | (233) ~ (e1 = e0) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (1748), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (1414) all_0_44_44 = e0 % 54.80/22.50 | % 54.80/22.50 | Combining equations (1414,635) yields a new equation: % 54.80/22.50 | (431) e1 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (431) can reduce 233 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (360) ~ (all_0_44_44 = e0) % 54.80/22.50 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (1760), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (978) all_0_49_49 = e0 % 54.80/22.50 | % 54.80/22.50 | Combining equations (884,978) yields a new equation: % 54.80/22.50 | (675) e3 = e0 % 54.80/22.50 | % 54.80/22.50 | Simplifying 675 yields: % 54.80/22.50 | (676) e3 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (676) can reduce 80 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (487) ~ (all_0_49_49 = e0) % 54.80/22.50 | (914) all_0_58_58 = e0 % 54.80/22.50 | % 54.80/22.50 | Combining equations (914,910) yields a new equation: % 54.80/22.50 | (397) e4 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (397) can reduce 49 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (484) ~ (all_0_39_39 = e0) % 54.80/22.50 | (485) all_0_40_40 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (485) can reduce 1401 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (549) ~ (all_0_46_46 = e1) % 54.80/22.50 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (595), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (545) all_0_46_46 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (545) can reduce 549 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (549) ~ (all_0_46_46 = e1) % 54.80/22.50 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (600), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (601) all_0_50_50 = e1 % 54.80/22.50 | % 54.80/22.50 | Combining equations (415,601) yields a new equation: % 54.80/22.50 | (454) e3 = e1 % 54.80/22.50 | % 54.80/22.50 | Simplifying 454 yields: % 54.80/22.50 | (455) e3 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (455) can reduce 213 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (759) ~ (all_0_50_50 = e1) % 54.80/22.50 | (629) all_0_55_55 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (629) can reduce 81 to: % 54.80/22.50 | (2437) ~ (all_0_57_57 = e1) % 54.80/22.50 | % 54.80/22.50 | Simplifying 2437 yields: % 54.80/22.50 | (1670) ~ (all_0_57_57 = e1) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (874), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (875) all_0_57_57 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (875) can reduce 364 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (364) ~ (all_0_57_57 = e0) % 54.80/22.50 | (647) all_0_57_57 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (647) can reduce 1670 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (464) ~ (all_0_51_51 = e1) % 54.80/22.50 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (1202), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (642) all_0_52_52 = e1 % 54.80/22.50 | % 54.80/22.50 | Combining equations (565,642) yields a new equation: % 54.80/22.50 | (636) e4 = e1 % 54.80/22.50 | % 54.80/22.50 | Simplifying 636 yields: % 54.80/22.50 | (630) e4 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (630) can reduce 110 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (646) ~ (all_0_52_52 = e1) % 54.80/22.50 | (1208) all_0_53_53 = e1 % 54.80/22.50 | % 54.80/22.50 | Combining equations (1208,607) yields a new equation: % 54.80/22.50 | (617) e2 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (617) can reduce 122 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (780) ~ (all_0_52_52 = e4) % 54.80/22.50 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (355), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (565) all_0_52_52 = e4 % 54.80/22.50 | % 54.80/22.50 | Equations (565) can reduce 780 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (780) ~ (all_0_52_52 = e4) % 54.80/22.50 | (642) all_0_52_52 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (642) can reduce 342 to: % 54.80/22.50 | (604) ~ (e2 = e1) % 54.80/22.50 | % 54.80/22.50 | Simplifying 604 yields: % 54.80/22.50 | (122) ~ (e2 = e1) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (781), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (789), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (790), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (791), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (792), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.50 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 54.80/22.50 | % 54.80/22.50 | Applying alpha-rule on (793) yields: % 54.80/22.50 | (794) all_0_41_41 = e0 % 54.80/22.50 | (795) all_0_58_58 = e3 % 54.80/22.50 | (407) ~ (all_0_44_44 = e3) % 54.80/22.50 | % 54.80/22.50 | Combining equations (794,437) yields a new equation: % 54.80/22.50 | (397) e4 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (397) can reduce 49 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 54.80/22.50 | % 54.80/22.50 | Applying alpha-rule on (800) yields: % 54.80/22.50 | (794) all_0_41_41 = e0 % 54.80/22.50 | (795) all_0_58_58 = e3 % 54.80/22.50 | (803) ~ (all_0_55_55 = e0) % 54.80/22.50 | % 54.80/22.50 | Combining equations (794,437) yields a new equation: % 54.80/22.50 | (397) e4 = e0 % 54.80/22.50 | % 54.80/22.50 | Equations (397) can reduce 49 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 54.80/22.50 | % 54.80/22.50 | Applying alpha-rule on (807) yields: % 54.80/22.50 | (654) all_0_47_47 = e1 % 54.80/22.50 | (352) all_0_52_52 = e2 % 54.80/22.50 | (810) ~ (all_0_48_48 = e2) % 54.80/22.50 | % 54.80/22.50 | Combining equations (642,352) yields a new equation: % 54.80/22.50 | (617) e2 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (617) can reduce 122 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 54.80/22.50 | % 54.80/22.50 | Applying alpha-rule on (813) yields: % 54.80/22.50 | (654) all_0_47_47 = e1 % 54.80/22.50 | (352) all_0_52_52 = e2 % 54.80/22.50 | (464) ~ (all_0_51_51 = e1) % 54.80/22.50 | % 54.80/22.50 | Combining equations (642,352) yields a new equation: % 54.80/22.50 | (617) e2 = e1 % 54.80/22.50 | % 54.80/22.50 | Equations (617) can reduce 122 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 54.80/22.50 | % 54.80/22.50 | Applying alpha-rule on (819) yields: % 54.80/22.50 | (674) all_0_47_47 = e0 % 54.80/22.50 | (624) all_0_58_58 = e2 % 54.80/22.50 | (340) ~ (all_0_49_49 = e2) % 54.80/22.50 | % 54.80/22.50 | Equations (624) can reduce 908 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 54.80/22.50 | % 54.80/22.50 | Applying alpha-rule on (825) yields: % 54.80/22.50 | (674) all_0_47_47 = e0 % 54.80/22.50 | (624) all_0_58_58 = e2 % 54.80/22.50 | (828) ~ (all_0_56_56 = e0) % 54.80/22.50 | % 54.80/22.50 | Equations (624) can reduce 908 to: % 54.80/22.50 | (266) $false % 54.80/22.50 | % 54.80/22.50 |-The branch is then unsatisfiable % 54.80/22.50 |-Branch two: % 54.80/22.50 | (511) ~ (all_0_56_56 = e2) % 54.80/22.50 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 54.80/22.50 | % 54.80/22.50 +-Applying beta-rule and splitting (385), into two cases. % 54.80/22.50 |-Branch one: % 54.80/22.51 | (1105) all_0_47_47 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (1105) can reduce 338 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (338) ~ (all_0_47_47 = e2) % 54.80/22.51 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (1108), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (504) all_0_51_51 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (504) can reduce 1099 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (1099) ~ (all_0_51_51 = e2) % 54.80/22.51 | (833) all_0_56_56 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (833) can reduce 511 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (509) ~ (all_0_53_53 = e2) % 54.80/22.51 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (377), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (583) all_0_49_49 = e2 % 54.80/22.51 | % 54.80/22.51 | Combining equations (583,884) yields a new equation: % 54.80/22.51 | (662) e3 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (662) can reduce 212 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (340) ~ (all_0_49_49 = e2) % 54.80/22.51 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (381), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (504) all_0_51_51 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (504) can reduce 139 to: % 54.80/22.51 | (294) ~ (all_0_39_39 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (504) can reduce 224 to: % 54.80/22.51 | (338) ~ (all_0_47_47 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (504) can reduce 20 to: % 54.80/22.51 | (341) ~ (all_0_52_52 = e2) % 54.80/22.51 | % 54.80/22.51 | Simplifying 341 yields: % 54.80/22.51 | (342) ~ (all_0_52_52 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (504) can reduce 6 to: % 54.80/22.51 | (508) ~ (all_0_53_53 = e2) % 54.80/22.51 | % 54.80/22.51 | Simplifying 508 yields: % 54.80/22.51 | (509) ~ (all_0_53_53 = e2) % 54.80/22.51 | % 54.80/22.51 | From (504) and (186) follows: % 54.80/22.51 | (515) op(e1, e2) = e2 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (610), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (1298) all_0_53_53 = e4 % 54.80/22.51 | % 54.80/22.51 | Equations (1298) can reduce 162 to: % 54.80/22.51 | (447) ~ (all_0_40_40 = e4) % 54.80/22.51 | % 54.80/22.51 | Equations (1298) can reduce 46 to: % 54.80/22.51 | (780) ~ (all_0_52_52 = e4) % 54.80/22.51 | % 54.80/22.51 | Equations (1298) can reduce 509 to: % 54.80/22.51 | (48) ~ (e4 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (1298) can reduce 1459 to: % 54.80/22.51 | (110) ~ (e4 = e1) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (614), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (607) all_0_53_53 = e2 % 54.80/22.51 | % 54.80/22.51 | Combining equations (1298,607) yields a new equation: % 54.80/22.51 | (322) e4 = e2 % 54.80/22.51 | % 54.80/22.51 | Simplifying 322 yields: % 54.80/22.51 | (323) e4 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (323) can reduce 48 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (509) ~ (all_0_53_53 = e2) % 54.80/22.51 | (624) all_0_58_58 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (624) can reduce 44 to: % 54.80/22.51 | (511) ~ (all_0_56_56 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (624) can reduce 148 to: % 54.80/22.51 | (344) ~ (all_0_57_57 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (624) can reduce 276 to: % 54.80/22.51 | (626) ~ (e3 = e2) % 54.80/22.51 | % 54.80/22.51 | Simplifying 626 yields: % 54.80/22.51 | (212) ~ (e3 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (624) can reduce 880 to: % 54.80/22.51 | (122) ~ (e2 = e1) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (75), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (485) all_0_40_40 = e0 % 54.80/22.51 | % 54.80/22.51 | Equations (485) can reduce 176 to: % 54.80/22.51 | (484) ~ (all_0_39_39 = e0) % 54.80/22.51 | % 54.80/22.51 | From (485) and (234) follows: % 54.80/22.51 | (3072) op(e4, e0) = e0 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (160), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (601) all_0_50_50 = e1 % 54.80/22.51 | % 54.80/22.51 | Combining equations (415,601) yields a new equation: % 54.80/22.51 | (454) e3 = e1 % 54.80/22.51 | % 54.80/22.51 | Simplifying 454 yields: % 54.80/22.51 | (455) e3 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (455) can reduce 213 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (759) ~ (all_0_50_50 = e1) % 54.80/22.51 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (1168), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (1109) all_0_51_51 = e1 % 54.80/22.51 | % 54.80/22.51 | Combining equations (504,1109) yields a new equation: % 54.80/22.51 | (616) e2 = e1 % 54.80/22.51 | % 54.80/22.51 | Simplifying 616 yields: % 54.80/22.51 | (617) e2 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (617) can reduce 122 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (464) ~ (all_0_51_51 = e1) % 54.80/22.51 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (1202), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (642) all_0_52_52 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (642) can reduce 780 to: % 54.80/22.51 | (602) ~ (e4 = e1) % 54.80/22.51 | % 54.80/22.51 | Simplifying 602 yields: % 54.80/22.51 | (110) ~ (e4 = e1) % 54.80/22.51 | % 54.80/22.51 | Equations (642) can reduce 166 to: % 54.80/22.51 | (467) ~ (e3 = e1) % 54.80/22.51 | % 54.80/22.51 | Simplifying 467 yields: % 54.80/22.51 | (213) ~ (e3 = e1) % 54.80/22.51 | % 54.80/22.51 | Equations (642) can reduce 342 to: % 54.80/22.51 | (604) ~ (e2 = e1) % 54.80/22.51 | % 54.80/22.51 | Simplifying 604 yields: % 54.80/22.51 | (122) ~ (e2 = e1) % 54.80/22.51 | % 54.80/22.51 | Equations (642) can reduce 72 to: % 54.80/22.51 | (233) ~ (e1 = e0) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (12), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (442) all_0_57_57 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (442) can reduce 344 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (344) ~ (all_0_57_57 = e2) % 54.80/22.51 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (163), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (565) all_0_52_52 = e4 % 54.80/22.51 | % 54.80/22.51 | Combining equations (642,565) yields a new equation: % 54.80/22.51 | (630) e4 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (630) can reduce 110 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (780) ~ (all_0_52_52 = e4) % 54.80/22.51 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (320), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (471) all_0_39_39 = e4 % 54.80/22.51 | % 54.80/22.51 | Equations (471) can reduce 79 to: % 54.80/22.51 | (251) ~ (all_0_47_47 = e4) % 54.80/22.51 | % 54.80/22.51 | Simplifying 251 yields: % 54.80/22.51 | (252) ~ (all_0_47_47 = e4) % 54.80/22.51 | % 54.80/22.51 | Equations (471) can reduce 294 to: % 54.80/22.51 | (48) ~ (e4 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (471) can reduce 151 to: % 54.80/22.51 | (110) ~ (e4 = e1) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (445), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (871) all_0_57_57 = e4 % 54.80/22.51 | % 54.80/22.51 | Equations (871) can reduce 140 to: % 54.80/22.51 | (477) ~ (all_0_56_56 = e4) % 54.80/22.51 | % 54.80/22.51 | From (871) and (83) follows: % 54.80/22.51 | (3109) op(e0, e1) = e4 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (781), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (789), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (790), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (791), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (792), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 54.80/22.51 | % 54.80/22.51 | Applying alpha-rule on (793) yields: % 54.80/22.51 | (794) all_0_41_41 = e0 % 54.80/22.51 | (795) all_0_58_58 = e3 % 54.80/22.51 | (407) ~ (all_0_44_44 = e3) % 54.80/22.51 | % 54.80/22.51 | Combining equations (624,795) yields a new equation: % 54.80/22.51 | (662) e3 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (662) can reduce 212 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 54.80/22.51 | % 54.80/22.51 | Applying alpha-rule on (800) yields: % 54.80/22.51 | (794) all_0_41_41 = e0 % 54.80/22.51 | (795) all_0_58_58 = e3 % 54.80/22.51 | (803) ~ (all_0_55_55 = e0) % 54.80/22.51 | % 54.80/22.51 | Combining equations (624,795) yields a new equation: % 54.80/22.51 | (662) e3 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (662) can reduce 212 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 54.80/22.51 | % 54.80/22.51 | Applying alpha-rule on (807) yields: % 54.80/22.51 | (654) all_0_47_47 = e1 % 54.80/22.51 | (352) all_0_52_52 = e2 % 54.80/22.51 | (810) ~ (all_0_48_48 = e2) % 54.80/22.51 | % 54.80/22.51 | Combining equations (642,352) yields a new equation: % 54.80/22.51 | (617) e2 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (617) can reduce 122 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 54.80/22.51 | % 54.80/22.51 | Applying alpha-rule on (813) yields: % 54.80/22.51 | (654) all_0_47_47 = e1 % 54.80/22.51 | (352) all_0_52_52 = e2 % 54.80/22.51 | (464) ~ (all_0_51_51 = e1) % 54.80/22.51 | % 54.80/22.51 | Combining equations (642,352) yields a new equation: % 54.80/22.51 | (617) e2 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (617) can reduce 122 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 54.80/22.51 | % 54.80/22.51 | Applying alpha-rule on (819) yields: % 54.80/22.51 | (674) all_0_47_47 = e0 % 54.80/22.51 | (624) all_0_58_58 = e2 % 54.80/22.51 | (340) ~ (all_0_49_49 = e2) % 54.80/22.51 | % 54.80/22.51 | Equations (674) can reduce 91 to: % 54.80/22.51 | (1181) ~ (all_0_56_56 = e0) % 54.80/22.51 | % 54.80/22.51 | Simplifying 1181 yields: % 54.80/22.51 | (828) ~ (all_0_56_56 = e0) % 54.80/22.51 | % 54.80/22.51 | Equations (674) can reduce 252 to: % 54.80/22.51 | (401) ~ (e4 = e0) % 54.80/22.51 | % 54.80/22.51 | Simplifying 401 yields: % 54.80/22.51 | (49) ~ (e4 = e0) % 54.80/22.51 | % 54.80/22.51 | Equations (674) can reduce 338 to: % 54.80/22.51 | (365) ~ (e2 = e0) % 54.80/22.51 | % 54.80/22.51 | Simplifying 365 yields: % 54.80/22.51 | (128) ~ (e2 = e0) % 54.80/22.51 | % 54.80/22.51 | From (674) and (23) follows: % 54.80/22.51 | (3148) op(e2, e2) = e0 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (133), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (833) all_0_56_56 = e2 % 54.80/22.51 | % 54.80/22.51 | Equations (833) can reduce 511 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (511) ~ (all_0_56_56 = e2) % 54.80/22.51 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (135), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (545) all_0_46_46 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (545) can reduce 58 to: % 54.80/22.51 | (2331) ~ (all_0_55_55 = e1) % 54.80/22.51 | % 54.80/22.51 | Simplifying 2331 yields: % 54.80/22.51 | (632) ~ (all_0_55_55 = e1) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (216), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (629) all_0_55_55 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (629) can reduce 632 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (632) ~ (all_0_55_55 = e1) % 54.80/22.51 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (125), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (858) all_0_55_55 = e0 % 54.80/22.51 | % 54.80/22.51 | Equations (858) can reduce 153 to: % 54.80/22.51 | (1181) ~ (all_0_56_56 = e0) % 54.80/22.51 | % 54.80/22.51 | Simplifying 1181 yields: % 54.80/22.51 | (828) ~ (all_0_56_56 = e0) % 54.80/22.51 | % 54.80/22.51 | Equations (858) can reduce 270 to: % 54.80/22.51 | (541) ~ (e3 = e0) % 54.80/22.51 | % 54.80/22.51 | Simplifying 541 yields: % 54.80/22.51 | (80) ~ (e3 = e0) % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (836), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (842) all_0_56_56 = e4 % 54.80/22.51 | % 54.80/22.51 | Equations (842) can reduce 477 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (477) ~ (all_0_56_56 = e4) % 54.80/22.51 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (845), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (679) all_0_56_56 = e0 % 54.80/22.51 | % 54.80/22.51 | Equations (679) can reduce 828 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (828) ~ (all_0_56_56 = e0) % 54.80/22.51 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (633), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (1569) all_0_56_56 = e1 % 54.80/22.51 | % 54.80/22.51 | Equations (1569) can reduce 828 to: % 54.80/22.51 | (233) ~ (e1 = e0) % 54.80/22.51 | % 54.80/22.51 | From (1569) and (111) follows: % 54.80/22.51 | (3175) op(e0, e2) = e1 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (56), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (696) unit = e2 % 54.80/22.51 | % 54.80/22.51 | From (696) and (32) follows: % 54.80/22.51 | (698) op(e2, e2) = e2 % 54.80/22.51 | % 54.80/22.51 | From (696) and (28) follows: % 54.80/22.51 | (699) op(e1, e2) = e1 % 54.80/22.51 | % 54.80/22.51 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 54.80/22.51 | (330) e2 = e0 % 54.80/22.51 | % 54.80/22.51 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 54.80/22.51 | (617) e2 = e1 % 54.80/22.51 | % 54.80/22.51 | Combining equations (330,617) yields a new equation: % 54.80/22.51 | (431) e1 = e0 % 54.80/22.51 | % 54.80/22.51 | Equations (431) can reduce 233 to: % 54.80/22.51 | (266) $false % 54.80/22.51 | % 54.80/22.51 |-The branch is then unsatisfiable % 54.80/22.51 |-Branch two: % 54.80/22.51 | (707) ~ (unit = e2) % 54.80/22.51 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 54.80/22.51 | % 54.80/22.51 +-Applying beta-rule and splitting (708), into two cases. % 54.80/22.51 |-Branch one: % 54.80/22.51 | (709) unit = e4 % 54.80/22.51 | % 54.80/22.51 | From (709) and (227) follows: % 54.80/22.51 | (710) op(e4, e4) = e4 % 54.80/22.51 | % 54.80/22.51 | From (709) and (40) follows: % 54.80/22.52 | (711) op(e3, e4) = e3 % 54.80/22.52 | % 54.80/22.52 | From (709) and (32) follows: % 54.80/22.52 | (712) op(e2, e4) = e2 % 54.80/22.52 | % 54.80/22.52 | From (709) and (42) follows: % 54.80/22.52 | (713) op(e0, e4) = e0 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 54.80/22.52 | (630) e4 = e1 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 54.80/22.52 | (662) e3 = e2 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 54.80/22.52 | (323) e4 = e2 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 54.80/22.52 | (676) e3 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (323,630) yields a new equation: % 54.80/22.52 | (616) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Simplifying 616 yields: % 54.80/22.52 | (617) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (662,676) yields a new equation: % 54.80/22.52 | (391) e2 = e0 % 54.80/22.52 | % 54.80/22.52 | Simplifying 391 yields: % 54.80/22.52 | (330) e2 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (330,617) yields a new equation: % 54.80/22.52 | (431) e1 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (431) can reduce 233 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (724) ~ (unit = e4) % 54.80/22.52 | (725) unit = e3 | unit = e1 | unit = e0 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (725), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (726) unit = e0 % 54.80/22.52 | % 54.80/22.52 | From (726) and (244) follows: % 54.80/22.52 | (2207) op(e0, e4) = e4 % 54.80/22.52 | % 54.80/22.52 | From (726) and (15) follows: % 54.80/22.52 | (1508) op(e0, e2) = e2 % 54.80/22.52 | % 54.80/22.52 | From (726) and (227) follows: % 54.80/22.52 | (3205) op(e4, e0) = e4 % 54.80/22.52 | % 54.80/22.52 | From (726) and (32) follows: % 54.80/22.52 | (727) op(e2, e0) = e2 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 54.80/22.52 | (397) e4 = e0 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 54.80/22.52 | (662) e3 = e2 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 54.80/22.52 | (425) e4 = e3 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 54.80/22.52 | (617) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (397,425) yields a new equation: % 54.80/22.52 | (676) e3 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (662,676) yields a new equation: % 54.80/22.52 | (391) e2 = e0 % 54.80/22.52 | % 54.80/22.52 | Simplifying 391 yields: % 54.80/22.52 | (330) e2 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (617,330) yields a new equation: % 54.80/22.52 | (546) e1 = e0 % 54.80/22.52 | % 54.80/22.52 | Simplifying 546 yields: % 54.80/22.52 | (431) e1 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (431) can reduce 233 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (734) ~ (unit = e0) % 54.80/22.52 | (735) unit = e3 | unit = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (735), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (736) unit = e1 % 54.80/22.52 | % 54.80/22.52 | From (736) and (227) follows: % 54.80/22.52 | (739) op(e4, e1) = e4 % 54.80/22.52 | % 54.80/22.52 | From (736) and (42) follows: % 54.80/22.52 | (3221) op(e0, e1) = e0 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 54.80/22.52 | (425) e4 = e3 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 54.80/22.52 | (397) e4 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (425,397) yields a new equation: % 54.80/22.52 | (675) e3 = e0 % 54.80/22.52 | % 54.80/22.52 | Simplifying 675 yields: % 54.80/22.52 | (676) e3 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (676) can reduce 80 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (748) ~ (unit = e1) % 54.80/22.52 | (749) unit = e3 % 54.80/22.52 | % 54.80/22.52 | From (749) and (209) follows: % 54.80/22.52 | (1667) op(e3, e0) = e0 % 54.80/22.52 | % 54.80/22.52 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 54.80/22.52 | (431) e1 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (431) can reduce 233 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (466) ~ (all_0_56_56 = e1) % 54.80/22.52 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (3172), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (1569) all_0_56_56 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (1569) can reduce 466 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (466) ~ (all_0_56_56 = e1) % 54.80/22.52 | (1097) all_0_56_56 = e3 % 54.80/22.52 | % 54.80/22.52 | Equations (1097) can reduce 272 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (803) ~ (all_0_55_55 = e0) % 54.80/22.52 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (863), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (679) all_0_56_56 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (679) can reduce 828 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (828) ~ (all_0_56_56 = e0) % 54.80/22.52 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (924), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (875) all_0_57_57 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (871,875) yields a new equation: % 54.80/22.52 | (481) e4 = e0 % 54.80/22.52 | % 54.80/22.52 | Simplifying 481 yields: % 54.80/22.52 | (397) e4 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (397) can reduce 49 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (364) ~ (all_0_57_57 = e0) % 54.80/22.52 | (914) all_0_58_58 = e0 % 54.80/22.52 | % 54.80/22.52 | Combining equations (914,624) yields a new equation: % 54.80/22.52 | (330) e2 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (330) can reduce 128 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (549) ~ (all_0_46_46 = e1) % 54.80/22.52 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (131), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (459) all_0_42_42 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (459,516) yields a new equation: % 54.80/22.52 | (455) e3 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (455) can reduce 213 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (1380) ~ (all_0_42_42 = e1) % 54.80/22.52 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (3259), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (654) all_0_47_47 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (674,654) yields a new equation: % 54.80/22.52 | (431) e1 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (431) can reduce 233 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (462) ~ (all_0_47_47 = e1) % 54.80/22.52 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (674) can reduce 462 to: % 54.80/22.52 | (435) ~ (e1 = e0) % 54.80/22.52 | % 54.80/22.52 | Simplifying 435 yields: % 54.80/22.52 | (233) ~ (e1 = e0) % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (550), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (654) all_0_47_47 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (674,654) yields a new equation: % 54.80/22.52 | (431) e1 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (431) can reduce 233 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (462) ~ (all_0_47_47 = e1) % 54.80/22.52 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (3264), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (1109) all_0_51_51 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (504,1109) yields a new equation: % 54.80/22.52 | (616) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Simplifying 616 yields: % 54.80/22.52 | (617) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (617) can reduce 122 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (464) ~ (all_0_51_51 = e1) % 54.80/22.52 | (1569) all_0_56_56 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (1569) can reduce 272 to: % 54.80/22.52 | (467) ~ (e3 = e1) % 54.80/22.52 | % 54.80/22.52 | Simplifying 467 yields: % 54.80/22.52 | (213) ~ (e3 = e1) % 54.80/22.52 | % 54.80/22.52 | Equations (1569) can reduce 511 to: % 54.80/22.52 | (604) ~ (e2 = e1) % 54.80/22.52 | % 54.80/22.52 | Simplifying 604 yields: % 54.80/22.52 | (122) ~ (e2 = e1) % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (659), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (615) all_0_48_48 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (335,615) yields a new equation: % 54.80/22.52 | (616) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Simplifying 616 yields: % 54.80/22.52 | (617) e2 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (617) can reduce 122 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (619) ~ (all_0_48_48 = e1) % 54.80/22.52 | (671) all_0_49_49 = e1 % 54.80/22.52 | % 54.80/22.52 | Combining equations (884,671) yields a new equation: % 54.80/22.52 | (454) e3 = e1 % 54.80/22.52 | % 54.80/22.52 | Simplifying 454 yields: % 54.80/22.52 | (455) e3 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (455) can reduce 213 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 54.80/22.52 | % 54.80/22.52 | Applying alpha-rule on (825) yields: % 54.80/22.52 | (674) all_0_47_47 = e0 % 54.80/22.52 | (624) all_0_58_58 = e2 % 54.80/22.52 | (828) ~ (all_0_56_56 = e0) % 54.80/22.52 | % 54.80/22.52 | Equations (674) can reduce 91 to: % 54.80/22.52 | (1181) ~ (all_0_56_56 = e0) % 54.80/22.52 | % 54.80/22.52 | Simplifying 1181 yields: % 54.80/22.52 | (828) ~ (all_0_56_56 = e0) % 54.80/22.52 | % 54.80/22.52 | Equations (674) can reduce 252 to: % 54.80/22.52 | (401) ~ (e4 = e0) % 54.80/22.52 | % 54.80/22.52 | Simplifying 401 yields: % 54.80/22.52 | (49) ~ (e4 = e0) % 54.80/22.52 | % 54.80/22.52 | Equations (674) can reduce 338 to: % 54.80/22.52 | (365) ~ (e2 = e0) % 54.80/22.52 | % 54.80/22.52 | Simplifying 365 yields: % 54.80/22.52 | (128) ~ (e2 = e0) % 54.80/22.52 | % 54.80/22.52 | From (674) and (23) follows: % 54.80/22.52 | (3148) op(e2, e2) = e0 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (133), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (833) all_0_56_56 = e2 % 54.80/22.52 | % 54.80/22.52 | Equations (833) can reduce 511 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (511) ~ (all_0_56_56 = e2) % 54.80/22.52 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (135), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (545) all_0_46_46 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (545) can reduce 58 to: % 54.80/22.52 | (2331) ~ (all_0_55_55 = e1) % 54.80/22.52 | % 54.80/22.52 | Simplifying 2331 yields: % 54.80/22.52 | (632) ~ (all_0_55_55 = e1) % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (216), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (629) all_0_55_55 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (629) can reduce 632 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (632) ~ (all_0_55_55 = e1) % 54.80/22.52 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (125), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (858) all_0_55_55 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (858) can reduce 153 to: % 54.80/22.52 | (1181) ~ (all_0_56_56 = e0) % 54.80/22.52 | % 54.80/22.52 | Simplifying 1181 yields: % 54.80/22.52 | (828) ~ (all_0_56_56 = e0) % 54.80/22.52 | % 54.80/22.52 | Equations (858) can reduce 270 to: % 54.80/22.52 | (541) ~ (e3 = e0) % 54.80/22.52 | % 54.80/22.52 | Simplifying 541 yields: % 54.80/22.52 | (80) ~ (e3 = e0) % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (836), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (842) all_0_56_56 = e4 % 54.80/22.52 | % 54.80/22.52 | Equations (842) can reduce 477 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (477) ~ (all_0_56_56 = e4) % 54.80/22.52 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (845), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (679) all_0_56_56 = e0 % 54.80/22.52 | % 54.80/22.52 | Equations (679) can reduce 828 to: % 54.80/22.52 | (266) $false % 54.80/22.52 | % 54.80/22.52 |-The branch is then unsatisfiable % 54.80/22.52 |-Branch two: % 54.80/22.52 | (828) ~ (all_0_56_56 = e0) % 54.80/22.52 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (633), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (1569) all_0_56_56 = e1 % 54.80/22.52 | % 54.80/22.52 | Equations (1569) can reduce 828 to: % 54.80/22.52 | (233) ~ (e1 = e0) % 54.80/22.52 | % 54.80/22.52 | From (1569) and (111) follows: % 54.80/22.52 | (3175) op(e0, e2) = e1 % 54.80/22.52 | % 54.80/22.52 +-Applying beta-rule and splitting (56), into two cases. % 54.80/22.52 |-Branch one: % 54.80/22.52 | (696) unit = e2 % 54.80/22.52 | % 54.80/22.52 | From (696) and (32) follows: % 54.80/22.52 | (698) op(e2, e2) = e2 % 54.80/22.52 | % 54.80/22.52 | From (696) and (28) follows: % 54.80/22.53 | (699) op(e1, e2) = e1 % 54.80/22.53 | % 54.80/22.53 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 54.80/22.53 | (330) e2 = e0 % 54.80/22.53 | % 54.80/22.53 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 54.80/22.53 | (617) e2 = e1 % 54.80/22.53 | % 54.80/22.53 | Combining equations (330,617) yields a new equation: % 54.80/22.53 | (431) e1 = e0 % 54.80/22.53 | % 54.80/22.53 | Equations (431) can reduce 233 to: % 54.80/22.53 | (266) $false % 54.80/22.53 | % 54.80/22.53 |-The branch is then unsatisfiable % 54.80/22.53 |-Branch two: % 54.80/22.53 | (707) ~ (unit = e2) % 54.80/22.53 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 54.80/22.53 | % 54.80/22.53 +-Applying beta-rule and splitting (708), into two cases. % 54.80/22.53 |-Branch one: % 54.80/22.53 | (709) unit = e4 % 54.80/22.53 | % 54.80/22.53 | From (709) and (227) follows: % 54.80/22.53 | (710) op(e4, e4) = e4 % 54.80/22.53 | % 54.80/22.53 | From (709) and (40) follows: % 54.80/22.53 | (711) op(e3, e4) = e3 % 54.80/22.53 | % 54.80/22.53 | From (709) and (32) follows: % 54.80/22.53 | (712) op(e2, e4) = e2 % 54.80/22.53 | % 54.80/22.53 | From (709) and (42) follows: % 54.80/22.53 | (713) op(e0, e4) = e0 % 54.80/22.53 | % 54.80/22.53 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.21/22.53 | (630) e4 = e1 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.21/22.53 | (662) e3 = e2 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.21/22.53 | (323) e4 = e2 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.21/22.53 | (676) e3 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (323,630) yields a new equation: % 55.21/22.53 | (616) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Simplifying 616 yields: % 55.21/22.53 | (617) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (662,676) yields a new equation: % 55.21/22.53 | (391) e2 = e0 % 55.21/22.53 | % 55.21/22.53 | Simplifying 391 yields: % 55.21/22.53 | (330) e2 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (330,617) yields a new equation: % 55.21/22.53 | (431) e1 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (431) can reduce 233 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (724) ~ (unit = e4) % 55.21/22.53 | (725) unit = e3 | unit = e1 | unit = e0 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (725), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (726) unit = e0 % 55.21/22.53 | % 55.21/22.53 | From (726) and (244) follows: % 55.21/22.53 | (2207) op(e0, e4) = e4 % 55.21/22.53 | % 55.21/22.53 | From (726) and (15) follows: % 55.21/22.53 | (1508) op(e0, e2) = e2 % 55.21/22.53 | % 55.21/22.53 | From (726) and (227) follows: % 55.21/22.53 | (3205) op(e4, e0) = e4 % 55.21/22.53 | % 55.21/22.53 | From (726) and (32) follows: % 55.21/22.53 | (727) op(e2, e0) = e2 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 55.21/22.53 | (397) e4 = e0 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 55.21/22.53 | (662) e3 = e2 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 55.21/22.53 | (425) e4 = e3 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 55.21/22.53 | (617) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (397,425) yields a new equation: % 55.21/22.53 | (676) e3 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (662,676) yields a new equation: % 55.21/22.53 | (391) e2 = e0 % 55.21/22.53 | % 55.21/22.53 | Simplifying 391 yields: % 55.21/22.53 | (330) e2 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (617,330) yields a new equation: % 55.21/22.53 | (546) e1 = e0 % 55.21/22.53 | % 55.21/22.53 | Simplifying 546 yields: % 55.21/22.53 | (431) e1 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (431) can reduce 233 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (734) ~ (unit = e0) % 55.21/22.53 | (735) unit = e3 | unit = e1 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (735), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (736) unit = e1 % 55.21/22.53 | % 55.21/22.53 | From (736) and (227) follows: % 55.21/22.53 | (739) op(e4, e1) = e4 % 55.21/22.53 | % 55.21/22.53 | From (736) and (42) follows: % 55.21/22.53 | (3221) op(e0, e1) = e0 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 55.21/22.53 | (425) e4 = e3 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 55.21/22.53 | (397) e4 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (425,397) yields a new equation: % 55.21/22.53 | (675) e3 = e0 % 55.21/22.53 | % 55.21/22.53 | Simplifying 675 yields: % 55.21/22.53 | (676) e3 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (676) can reduce 80 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (748) ~ (unit = e1) % 55.21/22.53 | (749) unit = e3 % 55.21/22.53 | % 55.21/22.53 | From (749) and (209) follows: % 55.21/22.53 | (1667) op(e3, e0) = e0 % 55.21/22.53 | % 55.21/22.53 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 55.21/22.53 | (431) e1 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (431) can reduce 233 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (466) ~ (all_0_56_56 = e1) % 55.21/22.53 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (3172), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (1569) all_0_56_56 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (1569) can reduce 466 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (466) ~ (all_0_56_56 = e1) % 55.21/22.53 | (1097) all_0_56_56 = e3 % 55.21/22.53 | % 55.21/22.53 | Equations (1097) can reduce 272 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (803) ~ (all_0_55_55 = e0) % 55.21/22.53 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (863), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (679) all_0_56_56 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (679) can reduce 828 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (828) ~ (all_0_56_56 = e0) % 55.21/22.53 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (924), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (875) all_0_57_57 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (871,875) yields a new equation: % 55.21/22.53 | (481) e4 = e0 % 55.21/22.53 | % 55.21/22.53 | Simplifying 481 yields: % 55.21/22.53 | (397) e4 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (397) can reduce 49 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (364) ~ (all_0_57_57 = e0) % 55.21/22.53 | (914) all_0_58_58 = e0 % 55.21/22.53 | % 55.21/22.53 | Combining equations (914,624) yields a new equation: % 55.21/22.53 | (330) e2 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (330) can reduce 128 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (549) ~ (all_0_46_46 = e1) % 55.21/22.53 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (131), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (459) all_0_42_42 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (459,516) yields a new equation: % 55.21/22.53 | (455) e3 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (455) can reduce 213 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (1380) ~ (all_0_42_42 = e1) % 55.21/22.53 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (3259), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (654) all_0_47_47 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (674,654) yields a new equation: % 55.21/22.53 | (431) e1 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (431) can reduce 233 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (462) ~ (all_0_47_47 = e1) % 55.21/22.53 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (674) can reduce 462 to: % 55.21/22.53 | (435) ~ (e1 = e0) % 55.21/22.53 | % 55.21/22.53 | Simplifying 435 yields: % 55.21/22.53 | (233) ~ (e1 = e0) % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (550), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (654) all_0_47_47 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (674,654) yields a new equation: % 55.21/22.53 | (431) e1 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (431) can reduce 233 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (462) ~ (all_0_47_47 = e1) % 55.21/22.53 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (3264), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (1109) all_0_51_51 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (504,1109) yields a new equation: % 55.21/22.53 | (616) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Simplifying 616 yields: % 55.21/22.53 | (617) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (617) can reduce 122 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (464) ~ (all_0_51_51 = e1) % 55.21/22.53 | (1569) all_0_56_56 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (1569) can reduce 272 to: % 55.21/22.53 | (467) ~ (e3 = e1) % 55.21/22.53 | % 55.21/22.53 | Simplifying 467 yields: % 55.21/22.53 | (213) ~ (e3 = e1) % 55.21/22.53 | % 55.21/22.53 | Equations (1569) can reduce 511 to: % 55.21/22.53 | (604) ~ (e2 = e1) % 55.21/22.53 | % 55.21/22.53 | Simplifying 604 yields: % 55.21/22.53 | (122) ~ (e2 = e1) % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (659), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (615) all_0_48_48 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (335,615) yields a new equation: % 55.21/22.53 | (616) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Simplifying 616 yields: % 55.21/22.53 | (617) e2 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (617) can reduce 122 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (619) ~ (all_0_48_48 = e1) % 55.21/22.53 | (671) all_0_49_49 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (884,671) yields a new equation: % 55.21/22.53 | (454) e3 = e1 % 55.21/22.53 | % 55.21/22.53 | Simplifying 454 yields: % 55.21/22.53 | (455) e3 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (455) can reduce 213 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (839) ~ (all_0_57_57 = e4) % 55.21/22.53 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (400), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (943) all_0_48_48 = e4 % 55.21/22.53 | % 55.21/22.53 | Combining equations (943,335) yields a new equation: % 55.21/22.53 | (322) e4 = e2 % 55.21/22.53 | % 55.21/22.53 | Simplifying 322 yields: % 55.21/22.53 | (323) e4 = e2 % 55.21/22.53 | % 55.21/22.53 | Equations (323) can reduce 48 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (254) ~ (all_0_48_48 = e4) % 55.21/22.53 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (947), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (565) all_0_52_52 = e4 % 55.21/22.53 | % 55.21/22.53 | Combining equations (642,565) yields a new equation: % 55.21/22.53 | (630) e4 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (630) can reduce 110 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (780) ~ (all_0_52_52 = e4) % 55.21/22.53 | (871) all_0_57_57 = e4 % 55.21/22.53 | % 55.21/22.53 | Equations (871) can reduce 839 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (1377) ~ (all_0_39_39 = e4) % 55.21/22.53 | (480) all_0_39_39 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (480) can reduce 484 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (646) ~ (all_0_52_52 = e1) % 55.21/22.53 | (1208) all_0_53_53 = e1 % 55.21/22.53 | % 55.21/22.53 | Combining equations (1208,1298) yields a new equation: % 55.21/22.53 | (630) e4 = e1 % 55.21/22.53 | % 55.21/22.53 | Equations (630) can reduce 110 to: % 55.21/22.53 | (266) $false % 55.21/22.53 | % 55.21/22.53 |-The branch is then unsatisfiable % 55.21/22.53 |-Branch two: % 55.21/22.53 | (1401) ~ (all_0_40_40 = e0) % 55.21/22.53 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 55.21/22.53 | % 55.21/22.53 +-Applying beta-rule and splitting (333), into two cases. % 55.21/22.53 |-Branch one: % 55.21/22.53 | (480) all_0_39_39 = e0 % 55.21/22.53 | % 55.21/22.53 | Equations (480) can reduce 176 to: % 55.21/22.53 | (1400) ~ (all_0_40_40 = e0) % 55.21/22.53 | % 55.21/22.53 | Simplifying 1400 yields: % 55.21/22.53 | (1401) ~ (all_0_40_40 = e0) % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (316), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (1378) all_0_40_40 = e4 % 55.21/22.54 | % 55.21/22.54 | Equations (1378) can reduce 447 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (447) ~ (all_0_40_40 = e4) % 55.21/22.54 | (485) all_0_40_40 = e0 % 55.21/22.54 | % 55.21/22.54 | Equations (485) can reduce 1401 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (484) ~ (all_0_39_39 = e0) % 55.21/22.54 | (485) all_0_40_40 = e0 % 55.21/22.54 | % 55.21/22.54 | Equations (485) can reduce 1401 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (1453) ~ (all_0_53_53 = e4) % 55.21/22.54 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (1694), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (1208) all_0_53_53 = e1 % 55.21/22.54 | % 55.21/22.54 | Equations (1208) can reduce 1459 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (1459) ~ (all_0_53_53 = e1) % 55.21/22.54 | (665) all_0_53_53 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (665) can reduce 903 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (1099) ~ (all_0_51_51 = e2) % 55.21/22.54 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (614), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (607) all_0_53_53 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (607) can reduce 509 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (509) ~ (all_0_53_53 = e2) % 55.21/22.54 | (624) all_0_58_58 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (624) can reduce 44 to: % 55.21/22.54 | (511) ~ (all_0_56_56 = e2) % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (385), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (1105) all_0_47_47 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (1105) can reduce 338 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (338) ~ (all_0_47_47 = e2) % 55.21/22.54 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (1108), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (504) all_0_51_51 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (504) can reduce 1099 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (1099) ~ (all_0_51_51 = e2) % 55.21/22.54 | (833) all_0_56_56 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (833) can reduce 511 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (639) ~ (all_0_44_44 = e1) % 55.21/22.54 | (532) all_0_44_44 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (532) can reduce 407 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (405) ~ (all_0_42_42 = e3) % 55.21/22.54 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (1899), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (516) all_0_42_42 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (516) can reduce 405 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (405) ~ (all_0_42_42 = e3) % 55.21/22.54 | (532) all_0_44_44 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (532) can reduce 407 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (525) ~ (all_0_49_49 = e3) % 55.21/22.54 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (887), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (665) all_0_53_53 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (665) can reduce 903 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (903) ~ (all_0_53_53 = e3) % 55.21/22.54 | (795) all_0_58_58 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (795) can reduce 276 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (411) ~ (all_0_50_50 = e3) % 55.21/22.54 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (1923), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (1557) all_0_46_46 = e3 % 55.21/22.54 | % 55.21/22.54 | Equations (1557) can reduce 35 to: % 55.21/22.54 | (410) ~ (all_0_50_50 = e3) % 55.21/22.54 | % 55.21/22.54 | Simplifying 410 yields: % 55.21/22.54 | (411) ~ (all_0_50_50 = e3) % 55.21/22.54 | % 55.21/22.54 | Equations (1557) can reduce 58 to: % 55.21/22.54 | (269) ~ (all_0_55_55 = e3) % 55.21/22.54 | % 55.21/22.54 | Simplifying 269 yields: % 55.21/22.54 | (270) ~ (all_0_55_55 = e3) % 55.21/22.54 | % 55.21/22.54 | Equations (1557) can reduce 300 to: % 55.21/22.54 | (212) ~ (e3 = e2) % 55.21/22.54 | % 55.21/22.54 | From (1557) and (33) follows: % 55.21/22.54 | (3526) op(e3, e3) = all_0_16_16 % 55.21/22.54 | % 55.21/22.54 | From (1557) and (179) follows: % 55.21/22.54 | (3527) op(e3, e2) = all_0_15_15 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (422), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (775) all_0_50_50 = e4 % 55.21/22.54 | % 55.21/22.54 | Equations (775) can reduce 566 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (566) ~ (all_0_50_50 = e4) % 55.21/22.54 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (1444), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (601) all_0_50_50 = e1 % 55.21/22.54 | % 55.21/22.54 | Equations (601) can reduce 101 to: % 55.21/22.54 | (3533) ~ (all_0_52_52 = e1) % 55.21/22.54 | % 55.21/22.54 | Simplifying 3533 yields: % 55.21/22.54 | (646) ~ (all_0_52_52 = e1) % 55.21/22.54 | % 55.21/22.54 | Equations (601) can reduce 190 to: % 55.21/22.54 | (1458) ~ (all_0_53_53 = e1) % 55.21/22.54 | % 55.21/22.54 | Simplifying 1458 yields: % 55.21/22.54 | (1459) ~ (all_0_53_53 = e1) % 55.21/22.54 | % 55.21/22.54 | Equations (601) can reduce 93 to: % 55.21/22.54 | (2331) ~ (all_0_55_55 = e1) % 55.21/22.54 | % 55.21/22.54 | Simplifying 2331 yields: % 55.21/22.54 | (632) ~ (all_0_55_55 = e1) % 55.21/22.54 | % 55.21/22.54 | Equations (601) can reduce 302 to: % 55.21/22.54 | (604) ~ (e2 = e1) % 55.21/22.54 | % 55.21/22.54 | Simplifying 604 yields: % 55.21/22.54 | (122) ~ (e2 = e1) % 55.21/22.54 | % 55.21/22.54 | Equations (601) can reduce 121 to: % 55.21/22.54 | (233) ~ (e1 = e0) % 55.21/22.54 | % 55.21/22.54 | From (601) and (57) follows: % 55.21/22.54 | (606) op(e1, e1) = all_0_22_22 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (130), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (430) all_0_43_43 = e1 % 55.21/22.54 | % 55.21/22.54 | Combining equations (356,430) yields a new equation: % 55.21/22.54 | (431) e1 = e0 % 55.21/22.54 | % 55.21/22.54 | Equations (431) can reduce 233 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (433) ~ (all_0_43_43 = e1) % 55.21/22.54 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (174), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (386) all_0_55_55 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (386) can reduce 304 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (304) ~ (all_0_55_55 = e2) % 55.21/22.54 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (2051), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (587) all_0_55_55 = e4 % 55.21/22.54 | % 55.21/22.54 | Equations (587) can reduce 763 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (763) ~ (all_0_55_55 = e4) % 55.21/22.54 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (2055), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (858) all_0_55_55 = e0 % 55.21/22.54 | % 55.21/22.54 | Equations (858) can reduce 3 to: % 55.21/22.54 | (490) ~ (all_0_58_58 = e0) % 55.21/22.54 | % 55.21/22.54 | Simplifying 490 yields: % 55.21/22.54 | (491) ~ (all_0_58_58 = e0) % 55.21/22.54 | % 55.21/22.54 | From (858) and (187) follows: % 55.21/22.54 | (2064) op(e0, e3) = all_0_32_32 % 55.21/22.54 | % 55.21/22.54 | From (858) and (74) follows: % 55.21/22.54 | (752) op(e0, e3) = e0 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (355), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (565) all_0_52_52 = e4 % 55.21/22.54 | % 55.21/22.54 | Equations (565) can reduce 342 to: % 55.21/22.54 | (48) ~ (e4 = e2) % 55.21/22.54 | % 55.21/22.54 | Equations (565) can reduce 646 to: % 55.21/22.54 | (110) ~ (e4 = e1) % 55.21/22.54 | % 55.21/22.54 | Equations (565) can reduce 72 to: % 55.21/22.54 | (49) ~ (e4 = e0) % 55.21/22.54 | % 55.21/22.54 | From (565) and (124) follows: % 55.21/22.54 | (570) op(e1, e1) = e4 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (434), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (615) all_0_48_48 = e1 % 55.21/22.54 | % 55.21/22.54 | Combining equations (335,615) yields a new equation: % 55.21/22.54 | (616) e2 = e1 % 55.21/22.54 | % 55.21/22.54 | Simplifying 616 yields: % 55.21/22.54 | (617) e2 = e1 % 55.21/22.54 | % 55.21/22.54 | Equations (617) can reduce 122 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (619) ~ (all_0_48_48 = e1) % 55.21/22.54 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (620), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (642) all_0_52_52 = e1 % 55.21/22.54 | % 55.21/22.54 | Combining equations (565,642) yields a new equation: % 55.21/22.54 | (636) e4 = e1 % 55.21/22.54 | % 55.21/22.54 | Simplifying 636 yields: % 55.21/22.54 | (630) e4 = e1 % 55.21/22.54 | % 55.21/22.54 | Equations (630) can reduce 110 to: % 55.21/22.54 | (266) $false % 55.21/22.54 | % 55.21/22.54 |-The branch is then unsatisfiable % 55.21/22.54 |-Branch two: % 55.21/22.54 | (646) ~ (all_0_52_52 = e1) % 55.21/22.54 | (647) all_0_57_57 = e1 % 55.21/22.54 | % 55.21/22.54 | Equations (647) can reduce 140 to: % 55.21/22.54 | (466) ~ (all_0_56_56 = e1) % 55.21/22.54 | % 55.21/22.54 | From (647) and (45) follows: % 55.21/22.54 | (653) op(e1, e1) = all_0_36_36 % 55.21/22.54 | % 55.21/22.54 | From (647) and (146) follows: % 55.21/22.54 | (3580) op(e1, e0) = all_0_35_35 % 55.21/22.54 | % 55.21/22.54 | Instantiating formula (29) with e3, e3, all_0_16_16, e4 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = e4, yields: % 55.21/22.54 | (687) all_0_16_16 = e4 % 55.21/22.54 | % 55.21/22.54 | Instantiating formula (29) with e3, e2, all_0_15_15, all_0_42_42 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_42_42, yields: % 55.21/22.54 | (3582) all_0_15_15 = all_0_42_42 % 55.21/22.54 | % 55.21/22.54 | Instantiating formula (29) with e1, e1, all_0_36_36, all_0_22_22 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = all_0_36_36, yields: % 55.21/22.54 | (685) all_0_22_22 = all_0_36_36 % 55.21/22.54 | % 55.21/22.54 | Instantiating formula (29) with e1, e1, e4, all_0_22_22 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 55.21/22.54 | (686) all_0_22_22 = e4 % 55.21/22.54 | % 55.21/22.54 | Instantiating formula (29) with e1, e0, all_0_35_35, all_0_53_53 and discharging atoms op(e1, e0) = all_0_35_35, op(e1, e0) = all_0_53_53, yields: % 55.21/22.54 | (3585) all_0_35_35 = all_0_53_53 % 55.21/22.54 | % 55.21/22.54 | Instantiating formula (29) with e0, e3, e0, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = e0, yields: % 55.21/22.54 | (2163) all_0_32_32 = e0 % 55.21/22.54 | % 55.21/22.54 | Combining equations (685,686) yields a new equation: % 55.21/22.54 | (689) all_0_36_36 = e4 % 55.21/22.54 | % 55.21/22.54 | Simplifying 689 yields: % 55.21/22.54 | (690) all_0_36_36 = e4 % 55.21/22.54 | % 55.21/22.54 | From (687) and (3526) follows: % 55.21/22.54 | (1913) op(e3, e3) = e4 % 55.21/22.54 | % 55.21/22.54 | From (3582) and (3527) follows: % 55.21/22.54 | (210) op(e3, e2) = all_0_42_42 % 55.21/22.54 | % 55.21/22.54 | From (690) and (653) follows: % 55.21/22.54 | (570) op(e1, e1) = e4 % 55.21/22.54 | % 55.21/22.54 | From (3585) and (3580) follows: % 55.21/22.54 | (84) op(e1, e0) = all_0_53_53 % 55.21/22.54 | % 55.21/22.54 | From (2163) and (2064) follows: % 55.21/22.54 | (752) op(e0, e3) = e0 % 55.21/22.54 | % 55.21/22.54 +-Applying beta-rule and splitting (196), into two cases. % 55.21/22.54 |-Branch one: % 55.21/22.54 | (607) all_0_53_53 = e2 % 55.21/22.54 | % 55.21/22.54 | Equations (607) can reduce 220 to: % 55.21/22.54 | (147) ~ (all_0_44_44 = e2) % 55.21/22.54 | % 55.21/22.54 | Equations (607) can reduce 65 to: % 55.21/22.54 | (340) ~ (all_0_49_49 = e2) % 55.21/22.54 | % 55.21/22.54 | Equations (607) can reduce 10 to: % 55.21/22.54 | (1186) ~ (all_0_58_58 = e2) % 55.21/22.54 | % 55.21/22.55 | Simplifying 1186 yields: % 55.21/22.55 | (908) ~ (all_0_58_58 = e2) % 55.21/22.55 | % 55.21/22.55 | Equations (607) can reduce 1459 to: % 55.21/22.55 | (122) ~ (e2 = e1) % 55.21/22.55 | % 55.21/22.55 | From (607) and (84) follows: % 55.21/22.55 | (2566) op(e1, e0) = e2 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (389), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (833) all_0_56_56 = e2 % 55.21/22.55 | % 55.21/22.55 | Equations (833) can reduce 236 to: % 55.21/22.55 | (51) ~ (all_0_42_42 = e2) % 55.21/22.55 | % 55.21/22.55 | Equations (833) can reduce 91 to: % 55.21/22.55 | (338) ~ (all_0_47_47 = e2) % 55.21/22.55 | % 55.21/22.55 | From (833) and (111) follows: % 55.21/22.55 | (1508) op(e0, e2) = e2 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (189), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (532) all_0_44_44 = e3 % 55.21/22.55 | % 55.21/22.55 | Equations (532) can reduce 73 to: % 55.21/22.55 | (405) ~ (all_0_42_42 = e3) % 55.21/22.55 | % 55.21/22.55 | Equations (532) can reduce 147 to: % 55.21/22.55 | (212) ~ (e3 = e2) % 55.21/22.55 | % 55.21/22.55 | From (532) and (138) follows: % 55.21/22.55 | (1639) op(e3, e0) = e3 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (180), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (516) all_0_42_42 = e3 % 55.21/22.55 | % 55.21/22.55 | Equations (516) can reduce 405 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (405) ~ (all_0_42_42 = e3) % 55.21/22.55 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (152), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (1392) all_0_42_42 = e4 % 55.21/22.55 | % 55.21/22.55 | Equations (1392) can reduce 1890 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (1890) ~ (all_0_42_42 = e4) % 55.21/22.55 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (1969), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (559) all_0_42_42 = e0 % 55.21/22.55 | % 55.21/22.55 | Equations (559) can reduce 358 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (358) ~ (all_0_42_42 = e0) % 55.21/22.55 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (2510), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (459) all_0_42_42 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (459) can reduce 198 to: % 55.21/22.55 | (461) ~ (all_0_47_47 = e1) % 55.21/22.55 | % 55.21/22.55 | Simplifying 461 yields: % 55.21/22.55 | (462) ~ (all_0_47_47 = e1) % 55.21/22.55 | % 55.21/22.55 | Equations (459) can reduce 405 to: % 55.21/22.55 | (467) ~ (e3 = e1) % 55.21/22.55 | % 55.21/22.55 | Simplifying 467 yields: % 55.21/22.55 | (213) ~ (e3 = e1) % 55.21/22.55 | % 55.21/22.55 | Equations (459) can reduce 51 to: % 55.21/22.55 | (604) ~ (e2 = e1) % 55.21/22.55 | % 55.21/22.55 | Simplifying 604 yields: % 55.21/22.55 | (122) ~ (e2 = e1) % 55.21/22.55 | % 55.21/22.55 | From (459) and (210) follows: % 55.21/22.55 | (470) op(e3, e2) = e1 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (135), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (545) all_0_46_46 = e1 % 55.21/22.55 | % 55.21/22.55 | Combining equations (545,1557) yields a new equation: % 55.21/22.55 | (455) e3 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (455) can reduce 213 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (549) ~ (all_0_46_46 = e1) % 55.21/22.55 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (418), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (660) all_0_51_51 = e3 % 55.21/22.55 | % 55.21/22.55 | Equations (660) can reduce 224 to: % 55.21/22.55 | (1091) ~ (all_0_47_47 = e3) % 55.21/22.55 | % 55.21/22.55 | From (660) and (186) follows: % 55.21/22.55 | (1552) op(e1, e2) = e3 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (550), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (654) all_0_47_47 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (654) can reduce 462 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (462) ~ (all_0_47_47 = e1) % 55.21/22.55 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (105), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (1105) all_0_47_47 = e2 % 55.21/22.55 | % 55.21/22.55 | Equations (1105) can reduce 338 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (338) ~ (all_0_47_47 = e2) % 55.21/22.55 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (659), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (615) all_0_48_48 = e1 % 55.21/22.55 | % 55.21/22.55 | Combining equations (615,335) yields a new equation: % 55.21/22.55 | (617) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (617) can reduce 122 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (619) ~ (all_0_48_48 = e1) % 55.21/22.55 | (671) all_0_49_49 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (671) can reduce 86 to: % 55.21/22.55 | (462) ~ (all_0_47_47 = e1) % 55.21/22.55 | % 55.21/22.55 | Equations (671) can reduce 340 to: % 55.21/22.55 | (604) ~ (e2 = e1) % 55.21/22.55 | % 55.21/22.55 | Simplifying 604 yields: % 55.21/22.55 | (122) ~ (e2 = e1) % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (1789), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (1790) all_0_47_47 = e4 % 55.21/22.55 | % 55.21/22.55 | Equations (1790) can reduce 252 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (252) ~ (all_0_47_47 = e4) % 55.21/22.55 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (1793), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (674) all_0_47_47 = e0 % 55.21/22.55 | % 55.21/22.55 | Equations (674) can reduce 462 to: % 55.21/22.55 | (435) ~ (e1 = e0) % 55.21/22.55 | % 55.21/22.55 | Simplifying 435 yields: % 55.21/22.55 | (233) ~ (e1 = e0) % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (56), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (696) unit = e2 % 55.21/22.55 | % 55.21/22.55 | From (696) and (211) follows: % 55.21/22.55 | (1612) op(e2, e1) = e1 % 55.21/22.55 | % 55.21/22.55 | From (696) and (42) follows: % 55.21/22.55 | (1613) op(e0, e2) = e0 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 55.21/22.55 | (617) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 55.21/22.55 | (330) e2 = e0 % 55.21/22.55 | % 55.21/22.55 | Combining equations (617,330) yields a new equation: % 55.21/22.55 | (546) e1 = e0 % 55.21/22.55 | % 55.21/22.55 | Simplifying 546 yields: % 55.21/22.55 | (431) e1 = e0 % 55.21/22.55 | % 55.21/22.55 | Equations (431) can reduce 233 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (707) ~ (unit = e2) % 55.21/22.55 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (708), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (709) unit = e4 % 55.21/22.55 | % 55.21/22.55 | From (709) and (227) follows: % 55.21/22.55 | (710) op(e4, e4) = e4 % 55.21/22.55 | % 55.21/22.55 | From (709) and (40) follows: % 55.21/22.55 | (711) op(e3, e4) = e3 % 55.21/22.55 | % 55.21/22.55 | From (709) and (32) follows: % 55.21/22.55 | (712) op(e2, e4) = e2 % 55.21/22.55 | % 55.21/22.55 | From (709) and (42) follows: % 55.21/22.55 | (713) op(e0, e4) = e0 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.21/22.55 | (630) e4 = e1 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.21/22.55 | (662) e3 = e2 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.21/22.55 | (323) e4 = e2 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.21/22.55 | (676) e3 = e0 % 55.21/22.55 | % 55.21/22.55 | Combining equations (323,630) yields a new equation: % 55.21/22.55 | (616) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Simplifying 616 yields: % 55.21/22.55 | (617) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Combining equations (662,676) yields a new equation: % 55.21/22.55 | (391) e2 = e0 % 55.21/22.55 | % 55.21/22.55 | Simplifying 391 yields: % 55.21/22.55 | (330) e2 = e0 % 55.21/22.55 | % 55.21/22.55 | Combining equations (330,617) yields a new equation: % 55.21/22.55 | (431) e1 = e0 % 55.21/22.55 | % 55.21/22.55 | Equations (431) can reduce 233 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (724) ~ (unit = e4) % 55.21/22.55 | (725) unit = e3 | unit = e1 | unit = e0 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (725), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (726) unit = e0 % 55.21/22.55 | % 55.21/22.55 | From (726) and (28) follows: % 55.21/22.55 | (2698) op(e1, e0) = e1 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 55.21/22.55 | (617) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (617) can reduce 122 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (734) ~ (unit = e0) % 55.21/22.55 | (735) unit = e3 | unit = e1 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (735), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (736) unit = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (736) can reduce 734 to: % 55.21/22.55 | (233) ~ (e1 = e0) % 55.21/22.55 | % 55.21/22.55 | From (736) and (15) follows: % 55.21/22.55 | (515) op(e1, e2) = e2 % 55.21/22.55 | % 55.21/22.55 | From (736) and (227) follows: % 55.21/22.55 | (739) op(e4, e1) = e4 % 55.21/22.55 | % 55.21/22.55 | From (736) and (40) follows: % 55.21/22.55 | (1652) op(e3, e1) = e3 % 55.21/22.55 | % 55.21/22.55 | From (736) and (28) follows: % 55.21/22.55 | (740) op(e1, e1) = e1 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 55.21/22.55 | (425) e4 = e3 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 55.21/22.55 | (676) e3 = e0 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 55.21/22.55 | (662) e3 = e2 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 55.21/22.55 | (630) e4 = e1 % 55.21/22.55 | % 55.21/22.55 | Combining equations (425,630) yields a new equation: % 55.21/22.55 | (454) e3 = e1 % 55.21/22.55 | % 55.21/22.55 | Simplifying 454 yields: % 55.21/22.55 | (455) e3 = e1 % 55.21/22.55 | % 55.21/22.55 | Combining equations (455,662) yields a new equation: % 55.21/22.55 | (617) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Combining equations (676,662) yields a new equation: % 55.21/22.55 | (330) e2 = e0 % 55.21/22.55 | % 55.21/22.55 | Combining equations (617,330) yields a new equation: % 55.21/22.55 | (546) e1 = e0 % 55.21/22.55 | % 55.21/22.55 | Simplifying 546 yields: % 55.21/22.55 | (431) e1 = e0 % 55.21/22.55 | % 55.21/22.55 | Equations (431) can reduce 233 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (748) ~ (unit = e1) % 55.21/22.55 | (749) unit = e3 % 55.21/22.55 | % 55.21/22.55 | From (749) and (244) follows: % 55.21/22.55 | (750) op(e3, e4) = e4 % 55.21/22.55 | % 55.21/22.55 | From (749) and (15) follows: % 55.21/22.55 | (751) op(e3, e2) = e2 % 55.21/22.55 | % 55.21/22.55 | From (749) and (209) follows: % 55.21/22.55 | (1667) op(e3, e0) = e0 % 55.21/22.55 | % 55.21/22.55 | From (749) and (40) follows: % 55.21/22.55 | (3715) op(e3, e3) = e3 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 55.21/22.55 | (323) e4 = e2 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 55.21/22.55 | (425) e4 = e3 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e3, e2, e2, e1 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e1, yields: % 55.21/22.55 | (617) e2 = e1 % 55.21/22.55 | % 55.21/22.55 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 55.21/22.55 | (676) e3 = e0 % 55.21/22.55 | % 55.21/22.55 | Combining equations (323,425) yields a new equation: % 55.21/22.55 | (662) e3 = e2 % 55.21/22.55 | % 55.21/22.55 | Combining equations (676,662) yields a new equation: % 55.21/22.55 | (330) e2 = e0 % 55.21/22.55 | % 55.21/22.55 | Combining equations (330,617) yields a new equation: % 55.21/22.55 | (431) e1 = e0 % 55.21/22.55 | % 55.21/22.55 | Equations (431) can reduce 233 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (678) ~ (all_0_47_47 = e0) % 55.21/22.55 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 55.21/22.55 | % 55.21/22.55 +-Applying beta-rule and splitting (1831), into two cases. % 55.21/22.55 |-Branch one: % 55.21/22.55 | (654) all_0_47_47 = e1 % 55.21/22.55 | % 55.21/22.55 | Equations (654) can reduce 462 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (462) ~ (all_0_47_47 = e1) % 55.21/22.55 | (522) all_0_47_47 = e3 % 55.21/22.55 | % 55.21/22.55 | Equations (522) can reduce 1091 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (664) ~ (all_0_51_51 = e3) % 55.21/22.55 | (665) all_0_53_53 = e3 % 55.21/22.55 | % 55.21/22.55 | Combining equations (607,665) yields a new equation: % 55.21/22.55 | (662) e3 = e2 % 55.21/22.55 | % 55.21/22.55 | Equations (662) can reduce 212 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.55 |-Branch two: % 55.21/22.55 | (1380) ~ (all_0_42_42 = e1) % 55.21/22.55 | (516) all_0_42_42 = e3 % 55.21/22.55 | % 55.21/22.55 | Equations (516) can reduce 405 to: % 55.21/22.55 | (266) $false % 55.21/22.55 | % 55.21/22.55 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (407) ~ (all_0_44_44 = e3) % 55.21/22.56 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (1899), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (516) all_0_42_42 = e3 % 55.21/22.56 | % 55.21/22.56 | Equations (516) can reduce 61 to: % 55.21/22.56 | (1925) ~ (all_0_51_51 = e3) % 55.21/22.56 | % 55.21/22.56 | Simplifying 1925 yields: % 55.21/22.56 | (664) ~ (all_0_51_51 = e3) % 55.21/22.56 | % 55.21/22.56 | Equations (516) can reduce 51 to: % 55.21/22.56 | (212) ~ (e3 = e2) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (418), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (660) all_0_51_51 = e3 % 55.21/22.56 | % 55.21/22.56 | Equations (660) can reduce 664 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (664) ~ (all_0_51_51 = e3) % 55.21/22.56 | (665) all_0_53_53 = e3 % 55.21/22.56 | % 55.21/22.56 | Combining equations (665,607) yields a new equation: % 55.21/22.56 | (661) e3 = e2 % 55.21/22.56 | % 55.21/22.56 | Simplifying 661 yields: % 55.21/22.56 | (662) e3 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (662) can reduce 212 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (405) ~ (all_0_42_42 = e3) % 55.21/22.56 | (532) all_0_44_44 = e3 % 55.21/22.56 | % 55.21/22.56 | Equations (532) can reduce 407 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (511) ~ (all_0_56_56 = e2) % 55.21/22.56 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (108), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (624) all_0_58_58 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (624) can reduce 908 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (908) ~ (all_0_58_58 = e2) % 55.21/22.56 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (1709), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (442) all_0_57_57 = e2 % 55.21/22.56 | % 55.21/22.56 | Combining equations (442,647) yields a new equation: % 55.21/22.56 | (616) e2 = e1 % 55.21/22.56 | % 55.21/22.56 | Simplifying 616 yields: % 55.21/22.56 | (617) e2 = e1 % 55.21/22.56 | % 55.21/22.56 | Equations (617) can reduce 122 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (344) ~ (all_0_57_57 = e2) % 55.21/22.56 | (624) all_0_58_58 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (624) can reduce 908 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (509) ~ (all_0_53_53 = e2) % 55.21/22.56 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (381), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (504) all_0_51_51 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (504) can reduce 61 to: % 55.21/22.56 | (51) ~ (all_0_42_42 = e2) % 55.21/22.56 | % 55.21/22.56 | Equations (504) can reduce 224 to: % 55.21/22.56 | (338) ~ (all_0_47_47 = e2) % 55.21/22.56 | % 55.21/22.56 | Equations (504) can reduce 16 to: % 55.21/22.56 | (510) ~ (all_0_56_56 = e2) % 55.21/22.56 | % 55.21/22.56 | Simplifying 510 yields: % 55.21/22.56 | (511) ~ (all_0_56_56 = e2) % 55.21/22.56 | % 55.21/22.56 | From (504) and (186) follows: % 55.21/22.56 | (515) op(e1, e2) = e2 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (133), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (833) all_0_56_56 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (833) can reduce 511 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (511) ~ (all_0_56_56 = e2) % 55.21/22.56 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (418), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (660) all_0_51_51 = e3 % 55.21/22.56 | % 55.21/22.56 | Combining equations (504,660) yields a new equation: % 55.21/22.56 | (662) e3 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (662) can reduce 212 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (664) ~ (all_0_51_51 = e3) % 55.21/22.56 | (665) all_0_53_53 = e3 % 55.21/22.56 | % 55.21/22.56 | Equations (665) can reduce 162 to: % 55.21/22.56 | (2) ~ (all_0_40_40 = e3) % 55.21/22.56 | % 55.21/22.56 | Equations (665) can reduce 220 to: % 55.21/22.56 | (407) ~ (all_0_44_44 = e3) % 55.21/22.56 | % 55.21/22.56 | From (665) and (84) follows: % 55.21/22.56 | (3786) op(e1, e0) = e3 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (26), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (446) all_0_44_44 = e4 % 55.21/22.56 | % 55.21/22.56 | Equations (446) can reduce 1390 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (1390) ~ (all_0_44_44 = e4) % 55.21/22.56 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (180), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (516) all_0_42_42 = e3 % 55.21/22.56 | % 55.21/22.56 | Equations (516) can reduce 145 to: % 55.21/22.56 | (246) ~ (all_0_39_39 = e3) % 55.21/22.56 | % 55.21/22.56 | Equations (516) can reduce 73 to: % 55.21/22.56 | (406) ~ (all_0_44_44 = e3) % 55.21/22.56 | % 55.21/22.56 | Simplifying 406 yields: % 55.21/22.56 | (407) ~ (all_0_44_44 = e3) % 55.21/22.56 | % 55.21/22.56 | Equations (516) can reduce 51 to: % 55.21/22.56 | (212) ~ (e3 = e2) % 55.21/22.56 | % 55.21/22.56 | Equations (516) can reduce 358 to: % 55.21/22.56 | (80) ~ (e3 = e0) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (1391), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (1414) all_0_44_44 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (1414) can reduce 360 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (360) ~ (all_0_44_44 = e0) % 55.21/22.56 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (1417), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (635) all_0_44_44 = e1 % 55.21/22.56 | % 55.21/22.56 | Equations (635) can reduce 181 to: % 55.21/22.56 | (879) ~ (all_0_58_58 = e1) % 55.21/22.56 | % 55.21/22.56 | Simplifying 879 yields: % 55.21/22.56 | (880) ~ (all_0_58_58 = e1) % 55.21/22.56 | % 55.21/22.56 | Equations (635) can reduce 407 to: % 55.21/22.56 | (467) ~ (e3 = e1) % 55.21/22.56 | % 55.21/22.56 | Simplifying 467 yields: % 55.21/22.56 | (213) ~ (e3 = e1) % 55.21/22.56 | % 55.21/22.56 | Equations (635) can reduce 147 to: % 55.21/22.56 | (604) ~ (e2 = e1) % 55.21/22.56 | % 55.21/22.56 | Simplifying 604 yields: % 55.21/22.56 | (122) ~ (e2 = e1) % 55.21/22.56 | % 55.21/22.56 | Equations (635) can reduce 360 to: % 55.21/22.56 | (233) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 | From (635) and (138) follows: % 55.21/22.56 | (1423) op(e3, e0) = e1 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (131), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (459) all_0_42_42 = e1 % 55.21/22.56 | % 55.21/22.56 | Combining equations (459,516) yields a new equation: % 55.21/22.56 | (455) e3 = e1 % 55.21/22.56 | % 55.21/22.56 | Equations (455) can reduce 213 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (1380) ~ (all_0_42_42 = e1) % 55.21/22.56 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (54), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (583) all_0_49_49 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (583) can reduce 340 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (340) ~ (all_0_49_49 = e2) % 55.21/22.56 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (3259), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (654) all_0_47_47 = e1 % 55.21/22.56 | % 55.21/22.56 | Equations (654) can reduce 79 to: % 55.21/22.56 | (151) ~ (all_0_39_39 = e1) % 55.21/22.56 | % 55.21/22.56 | Equations (654) can reduce 86 to: % 55.21/22.56 | (1419) ~ (all_0_49_49 = e1) % 55.21/22.56 | % 55.21/22.56 | Simplifying 1419 yields: % 55.21/22.56 | (1064) ~ (all_0_49_49 = e1) % 55.21/22.56 | % 55.21/22.56 | Equations (654) can reduce 338 to: % 55.21/22.56 | (604) ~ (e2 = e1) % 55.21/22.56 | % 55.21/22.56 | Simplifying 604 yields: % 55.21/22.56 | (122) ~ (e2 = e1) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (104), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (480) all_0_39_39 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (480) can reduce 176 to: % 55.21/22.56 | (1400) ~ (all_0_40_40 = e0) % 55.21/22.56 | % 55.21/22.56 | Simplifying 1400 yields: % 55.21/22.56 | (1401) ~ (all_0_40_40 = e0) % 55.21/22.56 | % 55.21/22.56 | Equations (480) can reduce 246 to: % 55.21/22.56 | (541) ~ (e3 = e0) % 55.21/22.56 | % 55.21/22.56 | Simplifying 541 yields: % 55.21/22.56 | (80) ~ (e3 = e0) % 55.21/22.56 | % 55.21/22.56 | Equations (480) can reduce 151 to: % 55.21/22.56 | (435) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 | Simplifying 435 yields: % 55.21/22.56 | (233) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (326), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (471) all_0_39_39 = e4 % 55.21/22.56 | % 55.21/22.56 | Combining equations (471,480) yields a new equation: % 55.21/22.56 | (481) e4 = e0 % 55.21/22.56 | % 55.21/22.56 | Simplifying 481 yields: % 55.21/22.56 | (397) e4 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (397) can reduce 49 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (1377) ~ (all_0_39_39 = e4) % 55.21/22.56 | (1378) all_0_40_40 = e4 % 55.21/22.56 | % 55.21/22.56 | Equations (1378) can reduce 200 to: % 55.21/22.56 | (255) ~ (all_0_49_49 = e4) % 55.21/22.56 | % 55.21/22.56 | Simplifying 255 yields: % 55.21/22.56 | (256) ~ (all_0_49_49 = e4) % 55.21/22.56 | % 55.21/22.56 | Equations (1378) can reduce 1401 to: % 55.21/22.56 | (49) ~ (e4 = e0) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (108), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (624) all_0_58_58 = e2 % 55.21/22.56 | % 55.21/22.56 | Equations (624) can reduce 880 to: % 55.21/22.56 | (122) ~ (e2 = e1) % 55.21/22.56 | % 55.21/22.56 | Equations (624) can reduce 491 to: % 55.21/22.56 | (128) ~ (e2 = e0) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (184), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (538) all_0_46_46 = e0 % 55.21/22.56 | % 55.21/22.56 | Combining equations (1557,538) yields a new equation: % 55.21/22.56 | (675) e3 = e0 % 55.21/22.56 | % 55.21/22.56 | Simplifying 675 yields: % 55.21/22.56 | (676) e3 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (676) can reduce 80 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (831) ~ (all_0_46_46 = e0) % 55.21/22.56 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (75), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (485) all_0_40_40 = e0 % 55.21/22.56 | % 55.21/22.56 | Combining equations (485,1378) yields a new equation: % 55.21/22.56 | (397) e4 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (397) can reduce 49 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (1401) ~ (all_0_40_40 = e0) % 55.21/22.56 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (586), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (974) all_0_49_49 = e4 % 55.21/22.56 | % 55.21/22.56 | Equations (974) can reduce 256 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (256) ~ (all_0_49_49 = e4) % 55.21/22.56 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (1748), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (1414) all_0_44_44 = e0 % 55.21/22.56 | % 55.21/22.56 | Combining equations (635,1414) yields a new equation: % 55.21/22.56 | (546) e1 = e0 % 55.21/22.56 | % 55.21/22.56 | Simplifying 546 yields: % 55.21/22.56 | (431) e1 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (431) can reduce 233 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (360) ~ (all_0_44_44 = e0) % 55.21/22.56 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (635) can reduce 360 to: % 55.21/22.56 | (233) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (977), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (978) all_0_49_49 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (978) can reduce 1064 to: % 55.21/22.56 | (435) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 | Simplifying 435 yields: % 55.21/22.56 | (233) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (56), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (696) unit = e2 % 55.21/22.56 | % 55.21/22.56 | From (696) and (28) follows: % 55.21/22.56 | (699) op(e1, e2) = e1 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.21/22.56 | (617) e2 = e1 % 55.21/22.56 | % 55.21/22.56 | Equations (617) can reduce 122 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (707) ~ (unit = e2) % 55.21/22.56 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (708), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (709) unit = e4 % 55.21/22.56 | % 55.21/22.56 | From (709) and (227) follows: % 55.21/22.56 | (710) op(e4, e4) = e4 % 55.21/22.56 | % 55.21/22.56 | From (709) and (40) follows: % 55.21/22.56 | (711) op(e3, e4) = e3 % 55.21/22.56 | % 55.21/22.56 | From (709) and (32) follows: % 55.21/22.56 | (712) op(e2, e4) = e2 % 55.21/22.56 | % 55.21/22.56 | From (709) and (42) follows: % 55.21/22.56 | (713) op(e0, e4) = e0 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.21/22.56 | (630) e4 = e1 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.21/22.56 | (662) e3 = e2 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.21/22.56 | (323) e4 = e2 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.21/22.56 | (676) e3 = e0 % 55.21/22.56 | % 55.21/22.56 | Combining equations (630,323) yields a new equation: % 55.21/22.56 | (617) e2 = e1 % 55.21/22.56 | % 55.21/22.56 | Combining equations (662,676) yields a new equation: % 55.21/22.56 | (391) e2 = e0 % 55.21/22.56 | % 55.21/22.56 | Simplifying 391 yields: % 55.21/22.56 | (330) e2 = e0 % 55.21/22.56 | % 55.21/22.56 | Combining equations (617,330) yields a new equation: % 55.21/22.56 | (546) e1 = e0 % 55.21/22.56 | % 55.21/22.56 | Simplifying 546 yields: % 55.21/22.56 | (431) e1 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (431) can reduce 233 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (724) ~ (unit = e4) % 55.21/22.56 | (725) unit = e3 | unit = e1 | unit = e0 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (725), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (726) unit = e0 % 55.21/22.56 | % 55.21/22.56 | From (726) and (24) follows: % 55.21/22.56 | (2208) op(e0, e3) = e3 % 55.21/22.56 | % 55.21/22.56 | From (726) and (28) follows: % 55.21/22.56 | (2698) op(e1, e0) = e1 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 55.21/22.56 | (455) e3 = e1 % 55.21/22.56 | % 55.21/22.56 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 55.21/22.56 | (676) e3 = e0 % 55.21/22.56 | % 55.21/22.56 | Combining equations (455,676) yields a new equation: % 55.21/22.56 | (546) e1 = e0 % 55.21/22.56 | % 55.21/22.56 | Simplifying 546 yields: % 55.21/22.56 | (431) e1 = e0 % 55.21/22.56 | % 55.21/22.56 | Equations (431) can reduce 233 to: % 55.21/22.56 | (266) $false % 55.21/22.56 | % 55.21/22.56 |-The branch is then unsatisfiable % 55.21/22.56 |-Branch two: % 55.21/22.56 | (734) ~ (unit = e0) % 55.21/22.56 | (735) unit = e3 | unit = e1 % 55.21/22.56 | % 55.21/22.56 +-Applying beta-rule and splitting (735), into two cases. % 55.21/22.56 |-Branch one: % 55.21/22.56 | (736) unit = e1 % 55.21/22.56 | % 55.21/22.56 | Equations (736) can reduce 734 to: % 55.21/22.56 | (233) ~ (e1 = e0) % 55.21/22.56 | % 55.21/22.56 | From (736) and (244) follows: % 55.21/22.56 | (738) op(e1, e4) = e4 % 55.21/22.56 | % 55.21/22.56 | From (736) and (227) follows: % 55.21/22.56 | (739) op(e4, e1) = e4 % 55.21/22.57 | % 55.21/22.57 | From (736) and (28) follows: % 55.21/22.57 | (740) op(e1, e1) = e1 % 55.21/22.57 | % 55.21/22.57 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 55.21/22.57 | (425) e4 = e3 % 55.21/22.57 | % 55.21/22.57 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 55.21/22.57 | (397) e4 = e0 % 55.21/22.57 | % 55.21/22.57 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 55.21/22.57 | (630) e4 = e1 % 55.21/22.57 | % 55.21/22.57 | Combining equations (630,425) yields a new equation: % 55.21/22.57 | (455) e3 = e1 % 55.21/22.57 | % 55.21/22.57 | Combining equations (397,425) yields a new equation: % 55.21/22.57 | (676) e3 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (676,455) yields a new equation: % 55.21/22.57 | (431) e1 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (431) can reduce 233 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (748) ~ (unit = e1) % 55.21/22.57 | (749) unit = e3 % 55.21/22.57 | % 55.21/22.57 | From (749) and (209) follows: % 55.21/22.57 | (1667) op(e3, e0) = e0 % 55.21/22.57 | % 55.21/22.57 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 55.21/22.57 | (431) e1 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (431) can reduce 233 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (487) ~ (all_0_49_49 = e0) % 55.21/22.57 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (832), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (674) all_0_47_47 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (674,654) yields a new equation: % 55.21/22.57 | (431) e1 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (431) can reduce 233 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (678) ~ (all_0_47_47 = e0) % 55.21/22.57 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (1278), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (1279) all_0_48_48 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (335,1279) yields a new equation: % 55.21/22.57 | (391) e2 = e0 % 55.21/22.57 | % 55.21/22.57 | Simplifying 391 yields: % 55.21/22.57 | (330) e2 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (330) can reduce 128 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (1283) ~ (all_0_48_48 = e0) % 55.21/22.57 | (978) all_0_49_49 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (978) can reduce 487 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (908) ~ (all_0_58_58 = e2) % 55.21/22.57 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (389), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (833) all_0_56_56 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (833) can reduce 511 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (511) ~ (all_0_56_56 = e2) % 55.21/22.57 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (1709), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (442) all_0_57_57 = e2 % 55.21/22.57 | % 55.21/22.57 | Combining equations (442,647) yields a new equation: % 55.21/22.57 | (616) e2 = e1 % 55.21/22.57 | % 55.21/22.57 | Simplifying 616 yields: % 55.21/22.57 | (617) e2 = e1 % 55.21/22.57 | % 55.21/22.57 | Equations (617) can reduce 122 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (344) ~ (all_0_57_57 = e2) % 55.21/22.57 | (624) all_0_58_58 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (624) can reduce 908 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (484) ~ (all_0_39_39 = e0) % 55.21/22.57 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (377), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (583) all_0_49_49 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (583) can reduce 340 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (340) ~ (all_0_49_49 = e2) % 55.21/22.57 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (184), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (538) all_0_46_46 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (538,1557) yields a new equation: % 55.21/22.57 | (676) e3 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (676) can reduce 80 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (831) ~ (all_0_46_46 = e0) % 55.21/22.57 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (614), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (607) all_0_53_53 = e2 % 55.21/22.57 | % 55.21/22.57 | Combining equations (665,607) yields a new equation: % 55.21/22.57 | (661) e3 = e2 % 55.21/22.57 | % 55.21/22.57 | Simplifying 661 yields: % 55.21/22.57 | (662) e3 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (662) can reduce 212 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (509) ~ (all_0_53_53 = e2) % 55.21/22.57 | (624) all_0_58_58 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (624) can reduce 491 to: % 55.21/22.57 | (128) ~ (e2 = e0) % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (832), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (674) all_0_47_47 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (674,654) yields a new equation: % 55.21/22.57 | (431) e1 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (431) can reduce 233 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (678) ~ (all_0_47_47 = e0) % 55.21/22.57 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (1278), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (1279) all_0_48_48 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (335,1279) yields a new equation: % 55.21/22.57 | (391) e2 = e0 % 55.21/22.57 | % 55.21/22.57 | Simplifying 391 yields: % 55.21/22.57 | (330) e2 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (330) can reduce 128 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (1283) ~ (all_0_48_48 = e0) % 55.21/22.57 | (978) all_0_49_49 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (978) can reduce 200 to: % 55.21/22.57 | (1401) ~ (all_0_40_40 = e0) % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (316), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (1378) all_0_40_40 = e4 % 55.21/22.57 | % 55.21/22.57 | Equations (1378) can reduce 2 to: % 55.21/22.57 | (188) ~ (e4 = e3) % 55.21/22.57 | % 55.21/22.57 | Equations (1378) can reduce 1401 to: % 55.21/22.57 | (49) ~ (e4 = e0) % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (171), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (265) all_0_54_54 = e4 % 55.21/22.57 | % 55.21/22.57 | Combining equations (268,265) yields a new equation: % 55.21/22.57 | (425) e4 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (425) can reduce 188 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (258) ~ (all_0_54_54 = e4) % 55.21/22.57 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (575), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (587) all_0_55_55 = e4 % 55.21/22.57 | % 55.21/22.57 | Combining equations (858,587) yields a new equation: % 55.21/22.57 | (397) e4 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (397) can reduce 49 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (763) ~ (all_0_55_55 = e4) % 55.21/22.57 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.21/22.57 | % 55.21/22.57 | Equations (858) can reduce 763 to: % 55.21/22.57 | (401) ~ (e4 = e0) % 55.21/22.57 | % 55.21/22.57 | Simplifying 401 yields: % 55.21/22.57 | (49) ~ (e4 = e0) % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (333), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (480) all_0_39_39 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (480) can reduce 484 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (484) ~ (all_0_39_39 = e0) % 55.21/22.57 | (485) all_0_40_40 = e0 % 55.21/22.57 | % 55.21/22.57 | Combining equations (485,1378) yields a new equation: % 55.21/22.57 | (397) e4 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (397) can reduce 49 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (447) ~ (all_0_40_40 = e4) % 55.21/22.57 | (485) all_0_40_40 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (485) can reduce 1401 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (462) ~ (all_0_47_47 = e1) % 55.21/22.57 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (3264), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (1109) all_0_51_51 = e1 % 55.21/22.57 | % 55.21/22.57 | Combining equations (504,1109) yields a new equation: % 55.21/22.57 | (616) e2 = e1 % 55.21/22.57 | % 55.21/22.57 | Simplifying 616 yields: % 55.21/22.57 | (617) e2 = e1 % 55.21/22.57 | % 55.21/22.57 | Equations (617) can reduce 122 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (464) ~ (all_0_51_51 = e1) % 55.21/22.57 | (1569) all_0_56_56 = e1 % 55.21/22.57 | % 55.21/22.57 | Equations (1569) can reduce 466 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (639) ~ (all_0_44_44 = e1) % 55.21/22.57 | (532) all_0_44_44 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (532) can reduce 407 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (405) ~ (all_0_42_42 = e3) % 55.21/22.57 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (1899), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (516) all_0_42_42 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (516) can reduce 405 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (405) ~ (all_0_42_42 = e3) % 55.21/22.57 | (532) all_0_44_44 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (532) can reduce 407 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (1099) ~ (all_0_51_51 = e2) % 55.21/22.57 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (1152), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (352) all_0_52_52 = e2 % 55.21/22.57 | % 55.21/22.57 | Combining equations (565,352) yields a new equation: % 55.21/22.57 | (322) e4 = e2 % 55.21/22.57 | % 55.21/22.57 | Simplifying 322 yields: % 55.21/22.57 | (323) e4 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (323) can reduce 48 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (342) ~ (all_0_52_52 = e2) % 55.21/22.57 | (607) all_0_53_53 = e2 % 55.21/22.57 | % 55.21/22.57 | Equations (607) can reduce 509 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (780) ~ (all_0_52_52 = e4) % 55.21/22.57 | (642) all_0_52_52 = e1 % 55.21/22.57 | % 55.21/22.57 | Equations (642) can reduce 646 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (803) ~ (all_0_55_55 = e0) % 55.21/22.57 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (2315), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (629) all_0_55_55 = e1 % 55.21/22.57 | % 55.21/22.57 | Equations (629) can reduce 632 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (632) ~ (all_0_55_55 = e1) % 55.21/22.57 | (2336) all_0_55_55 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (2336) can reduce 270 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (759) ~ (all_0_50_50 = e1) % 55.21/22.57 | (415) all_0_50_50 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (415) can reduce 411 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (409) ~ (all_0_46_46 = e3) % 55.21/22.57 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (4042), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (415) all_0_50_50 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (415) can reduce 411 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (411) ~ (all_0_50_50 = e3) % 55.21/22.57 | (2336) all_0_55_55 = e3 % 55.21/22.57 | % 55.21/22.57 | Equations (2336) can reduce 270 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (440) ~ (all_0_41_41 = e4) % 55.21/22.57 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (4049), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (794) all_0_41_41 = e0 % 55.21/22.57 | % 55.21/22.57 | Equations (794) can reduce 357 to: % 55.21/22.57 | (266) $false % 55.21/22.57 | % 55.21/22.57 |-The branch is then unsatisfiable % 55.21/22.57 |-Branch two: % 55.21/22.57 | (357) ~ (all_0_41_41 = e0) % 55.21/22.57 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 55.21/22.57 | % 55.21/22.57 +-Applying beta-rule and splitting (4053), into two cases. % 55.21/22.57 |-Branch one: % 55.21/22.57 | (453) all_0_41_41 = e1 % 55.21/22.57 | % 55.21/22.57 | Equations (453) can reduce 214 to: % 55.21/22.57 | (4055) ~ (all_0_42_42 = e1) % 55.21/22.57 | % 55.21/22.57 | Simplifying 4055 yields: % 55.21/22.57 | (1380) ~ (all_0_42_42 = e1) % 55.21/22.57 | % 55.21/22.57 | Equations (453) can reduce 149 to: % 55.21/22.57 | (4057) ~ (all_0_44_44 = e1) % 55.21/22.57 | % 55.21/22.58 | Simplifying 4057 yields: % 55.21/22.58 | (639) ~ (all_0_44_44 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (453) can reduce 43 to: % 55.21/22.58 | (4059) ~ (all_0_46_46 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 4059 yields: % 55.21/22.58 | (549) ~ (all_0_46_46 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (453) can reduce 221 to: % 55.21/22.58 | (1136) ~ (all_0_50_50 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 1136 yields: % 55.21/22.58 | (759) ~ (all_0_50_50 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (453) can reduce 191 to: % 55.21/22.58 | (2331) ~ (all_0_55_55 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 2331 yields: % 55.21/22.58 | (632) ~ (all_0_55_55 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (453) can reduce 440 to: % 55.21/22.58 | (602) ~ (e4 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 602 yields: % 55.21/22.58 | (110) ~ (e4 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (453) can reduce 85 to: % 55.21/22.58 | (604) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 604 yields: % 55.21/22.58 | (122) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (152), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (1392) all_0_42_42 = e4 % 55.21/22.58 | % 55.21/22.58 | Equations (1392) can reduce 145 to: % 55.21/22.58 | (1377) ~ (all_0_39_39 = e4) % 55.21/22.58 | % 55.21/22.58 | Equations (1392) can reduce 236 to: % 55.21/22.58 | (476) ~ (all_0_56_56 = e4) % 55.21/22.58 | % 55.21/22.58 | Simplifying 476 yields: % 55.21/22.58 | (477) ~ (all_0_56_56 = e4) % 55.21/22.58 | % 55.21/22.58 | From (1392) and (225) follows: % 55.21/22.58 | (4073) op(e4, e2) = all_0_8_8 % 55.21/22.58 | % 55.21/22.58 | From (1392) and (210) follows: % 55.21/22.58 | (4074) op(e3, e2) = e4 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (320), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (471) all_0_39_39 = e4 % 55.21/22.58 | % 55.21/22.58 | Equations (471) can reduce 1377 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (1377) ~ (all_0_39_39 = e4) % 55.21/22.58 | (480) all_0_39_39 = e0 % 55.21/22.58 | % 55.21/22.58 | Equations (480) can reduce 79 to: % 55.21/22.58 | (1402) ~ (all_0_47_47 = e0) % 55.21/22.58 | % 55.21/22.58 | Simplifying 1402 yields: % 55.21/22.58 | (678) ~ (all_0_47_47 = e0) % 55.21/22.58 | % 55.21/22.58 | Equations (480) can reduce 139 to: % 55.21/22.58 | (1404) ~ (all_0_51_51 = e0) % 55.21/22.58 | % 55.21/22.58 | Simplifying 1404 yields: % 55.21/22.58 | (115) ~ (all_0_51_51 = e0) % 55.21/22.58 | % 55.21/22.58 | Equations (480) can reduce 154 to: % 55.21/22.58 | (1181) ~ (all_0_56_56 = e0) % 55.21/22.58 | % 55.21/22.58 | Simplifying 1181 yields: % 55.21/22.58 | (828) ~ (all_0_56_56 = e0) % 55.21/22.58 | % 55.21/22.58 | Equations (480) can reduce 1377 to: % 55.21/22.58 | (401) ~ (e4 = e0) % 55.21/22.58 | % 55.21/22.58 | Simplifying 401 yields: % 55.21/22.58 | (49) ~ (e4 = e0) % 55.21/22.58 | % 55.21/22.58 | Equations (480) can reduce 151 to: % 55.21/22.58 | (435) ~ (e1 = e0) % 55.21/22.58 | % 55.21/22.58 | Simplifying 435 yields: % 55.21/22.58 | (233) ~ (e1 = e0) % 55.21/22.58 | % 55.21/22.58 | From (480) and (182) follows: % 55.21/22.58 | (1412) op(e0, e4) = all_0_2_2 % 55.21/22.58 | % 55.21/22.58 | From (480) and (14) follows: % 55.21/22.58 | (4090) op(e4, e2) = e0 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (326), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (471) all_0_39_39 = e4 % 55.21/22.58 | % 55.21/22.58 | Combining equations (480,471) yields a new equation: % 55.21/22.58 | (397) e4 = e0 % 55.21/22.58 | % 55.21/22.58 | Equations (397) can reduce 49 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (1377) ~ (all_0_39_39 = e4) % 55.21/22.58 | (1378) all_0_40_40 = e4 % 55.21/22.58 | % 55.21/22.58 | Equations (1378) can reduce 178 to: % 55.21/22.58 | (450) ~ (all_0_58_58 = e4) % 55.21/22.58 | % 55.21/22.58 | Simplifying 450 yields: % 55.21/22.58 | (451) ~ (all_0_58_58 = e4) % 55.21/22.58 | % 55.21/22.58 | Equations (1378) can reduce 132 to: % 55.21/22.58 | (110) ~ (e4 = e1) % 55.21/22.58 | % 55.21/22.58 | From (1378) and (34) follows: % 55.21/22.58 | (1455) op(e4, e4) = all_0_4_4 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (163), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (565) all_0_52_52 = e4 % 55.21/22.58 | % 55.21/22.58 | Equations (565) can reduce 101 to: % 55.21/22.58 | (566) ~ (all_0_50_50 = e4) % 55.21/22.58 | % 55.21/22.58 | Equations (565) can reduce 11 to: % 55.21/22.58 | (838) ~ (all_0_57_57 = e4) % 55.21/22.58 | % 55.21/22.58 | Simplifying 838 yields: % 55.21/22.58 | (839) ~ (all_0_57_57 = e4) % 55.21/22.58 | % 55.21/22.58 | Equations (565) can reduce 166 to: % 55.21/22.58 | (188) ~ (e4 = e3) % 55.21/22.58 | % 55.21/22.58 | Equations (565) can reduce 72 to: % 55.21/22.58 | (49) ~ (e4 = e0) % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (241), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (378) all_0_50_50 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (378) can reduce 302 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (302) ~ (all_0_50_50 = e2) % 55.21/22.58 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (130), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (430) all_0_43_43 = e1 % 55.21/22.58 | % 55.21/22.58 | Combining equations (356,430) yields a new equation: % 55.21/22.58 | (431) e1 = e0 % 55.21/22.58 | % 55.21/22.58 | Equations (431) can reduce 233 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (433) ~ (all_0_43_43 = e1) % 55.21/22.58 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (12), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (442) all_0_57_57 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (442) can reduce 344 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (344) ~ (all_0_57_57 = e2) % 55.21/22.58 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (171), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (265) all_0_54_54 = e4 % 55.21/22.58 | % 55.21/22.58 | Combining equations (268,265) yields a new equation: % 55.21/22.58 | (425) e4 = e3 % 55.21/22.58 | % 55.21/22.58 | Equations (425) can reduce 188 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (258) ~ (all_0_54_54 = e4) % 55.21/22.58 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (434), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (615) all_0_48_48 = e1 % 55.21/22.58 | % 55.21/22.58 | Combining equations (335,615) yields a new equation: % 55.21/22.58 | (616) e2 = e1 % 55.21/22.58 | % 55.21/22.58 | Simplifying 616 yields: % 55.21/22.58 | (617) e2 = e1 % 55.21/22.58 | % 55.21/22.58 | Equations (617) can reduce 122 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (619) ~ (all_0_48_48 = e1) % 55.21/22.58 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (620), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (642) all_0_52_52 = e1 % 55.21/22.58 | % 55.21/22.58 | Combining equations (565,642) yields a new equation: % 55.21/22.58 | (636) e4 = e1 % 55.21/22.58 | % 55.21/22.58 | Simplifying 636 yields: % 55.21/22.58 | (630) e4 = e1 % 55.21/22.58 | % 55.21/22.58 | Equations (630) can reduce 110 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (646) ~ (all_0_52_52 = e1) % 55.21/22.58 | (647) all_0_57_57 = e1 % 55.21/22.58 | % 55.21/22.58 | Equations (647) can reduce 81 to: % 55.21/22.58 | (632) ~ (all_0_55_55 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (647) can reduce 140 to: % 55.21/22.58 | (466) ~ (all_0_56_56 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (647) can reduce 148 to: % 55.21/22.58 | (879) ~ (all_0_58_58 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 879 yields: % 55.21/22.58 | (880) ~ (all_0_58_58 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (647) can reduce 839 to: % 55.21/22.58 | (602) ~ (e4 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 602 yields: % 55.21/22.58 | (110) ~ (e4 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (647) can reduce 344 to: % 55.21/22.58 | (604) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 604 yields: % 55.21/22.58 | (122) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 | From (647) and (146) follows: % 55.21/22.58 | (3580) op(e1, e0) = all_0_35_35 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (133), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (833) all_0_56_56 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (833) can reduce 16 to: % 55.21/22.58 | (1099) ~ (all_0_51_51 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (833) can reduce 153 to: % 55.21/22.58 | (304) ~ (all_0_55_55 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (833) can reduce 44 to: % 55.21/22.58 | (1186) ~ (all_0_58_58 = e2) % 55.21/22.58 | % 55.21/22.58 | Simplifying 1186 yields: % 55.21/22.58 | (908) ~ (all_0_58_58 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (833) can reduce 466 to: % 55.21/22.58 | (122) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 | From (833) and (87) follows: % 55.21/22.58 | (4151) op(e2, e2) = all_0_34_34 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (108), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (624) all_0_58_58 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (624) can reduce 908 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (908) ~ (all_0_58_58 = e2) % 55.21/22.58 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (575), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (587) all_0_55_55 = e4 % 55.21/22.58 | % 55.21/22.58 | Equations (587) can reduce 93 to: % 55.21/22.58 | (566) ~ (all_0_50_50 = e4) % 55.21/22.58 | % 55.21/22.58 | Equations (587) can reduce 3 to: % 55.21/22.58 | (450) ~ (all_0_58_58 = e4) % 55.21/22.58 | % 55.21/22.58 | Simplifying 450 yields: % 55.21/22.58 | (451) ~ (all_0_58_58 = e4) % 55.21/22.58 | % 55.21/22.58 | Equations (587) can reduce 270 to: % 55.21/22.58 | (188) ~ (e4 = e3) % 55.21/22.58 | % 55.21/22.58 | Equations (587) can reduce 304 to: % 55.21/22.58 | (48) ~ (e4 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (587) can reduce 632 to: % 55.21/22.58 | (110) ~ (e4 = e1) % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (381), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (504) all_0_51_51 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (504) can reduce 1099 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (1099) ~ (all_0_51_51 = e2) % 55.21/22.58 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (125), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (858) all_0_55_55 = e0 % 55.21/22.58 | % 55.21/22.58 | Combining equations (858,587) yields a new equation: % 55.21/22.58 | (397) e4 = e0 % 55.21/22.58 | % 55.21/22.58 | Equations (397) can reduce 49 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (803) ~ (all_0_55_55 = e0) % 55.21/22.58 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.21/22.58 | % 55.21/22.58 | Equations (587) can reduce 803 to: % 55.21/22.58 | (49) ~ (e4 = e0) % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (1899), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (516) all_0_42_42 = e3 % 55.21/22.58 | % 55.21/22.58 | Combining equations (516,1392) yields a new equation: % 55.21/22.58 | (425) e4 = e3 % 55.21/22.58 | % 55.21/22.58 | Equations (425) can reduce 188 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (405) ~ (all_0_42_42 = e3) % 55.21/22.58 | (532) all_0_44_44 = e3 % 55.21/22.58 | % 55.21/22.58 | Equations (532) can reduce 9 to: % 55.21/22.58 | (524) ~ (all_0_49_49 = e3) % 55.21/22.58 | % 55.21/22.58 | Simplifying 524 yields: % 55.21/22.58 | (525) ~ (all_0_49_49 = e3) % 55.21/22.58 | % 55.21/22.58 | Equations (532) can reduce 220 to: % 55.21/22.58 | (1114) ~ (all_0_53_53 = e3) % 55.21/22.58 | % 55.21/22.58 | Simplifying 1114 yields: % 55.21/22.58 | (903) ~ (all_0_53_53 = e3) % 55.21/22.58 | % 55.21/22.58 | Equations (532) can reduce 639 to: % 55.21/22.58 | (213) ~ (e3 = e1) % 55.21/22.58 | % 55.21/22.58 | From (532) and (70) follows: % 55.21/22.58 | (1954) op(e3, e0) = all_0_12_12 % 55.21/22.58 | % 55.21/22.58 | From (532) and (138) follows: % 55.21/22.58 | (1639) op(e3, e0) = e3 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (909), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (910) all_0_58_58 = e4 % 55.21/22.58 | % 55.21/22.58 | Equations (910) can reduce 451 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (451) ~ (all_0_58_58 = e4) % 55.21/22.58 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (1152), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (352) all_0_52_52 = e2 % 55.21/22.58 | % 55.21/22.58 | Combining equations (565,352) yields a new equation: % 55.21/22.58 | (322) e4 = e2 % 55.21/22.58 | % 55.21/22.58 | Simplifying 322 yields: % 55.21/22.58 | (323) e4 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (323) can reduce 48 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (342) ~ (all_0_52_52 = e2) % 55.21/22.58 | (607) all_0_53_53 = e2 % 55.21/22.58 | % 55.21/22.58 | Equations (607) can reduce 65 to: % 55.21/22.58 | (340) ~ (all_0_49_49 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (607) can reduce 190 to: % 55.21/22.58 | (302) ~ (all_0_50_50 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (607) can reduce 6 to: % 55.21/22.58 | (1099) ~ (all_0_51_51 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (607) can reduce 903 to: % 55.21/22.58 | (626) ~ (e3 = e2) % 55.21/22.58 | % 55.21/22.58 | Simplifying 626 yields: % 55.21/22.58 | (212) ~ (e3 = e2) % 55.21/22.58 | % 55.21/22.58 | From (607) and (92) follows: % 55.21/22.58 | (1555) op(e2, e1) = all_0_27_27 % 55.21/22.58 | % 55.21/22.58 | From (607) and (84) follows: % 55.21/22.58 | (2566) op(e1, e0) = e2 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (160), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (601) all_0_50_50 = e1 % 55.21/22.58 | % 55.21/22.58 | Equations (601) can reduce 759 to: % 55.21/22.58 | (266) $false % 55.21/22.58 | % 55.21/22.58 |-The branch is then unsatisfiable % 55.21/22.58 |-Branch two: % 55.21/22.58 | (759) ~ (all_0_50_50 = e1) % 55.21/22.58 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (1168), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (1109) all_0_51_51 = e1 % 55.21/22.58 | % 55.21/22.58 | Equations (1109) can reduce 59 to: % 55.21/22.58 | (759) ~ (all_0_50_50 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (1109) can reduce 1099 to: % 55.21/22.58 | (604) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 | Simplifying 604 yields: % 55.21/22.58 | (122) ~ (e2 = e1) % 55.21/22.58 | % 55.21/22.58 | Equations (1109) can reduce 115 to: % 55.21/22.58 | (233) ~ (e1 = e0) % 55.21/22.58 | % 55.21/22.58 | From (1109) and (177) follows: % 55.21/22.58 | (4211) op(e1, e2) = all_0_25_25 % 55.21/22.58 | % 55.21/22.58 | From (1109) and (186) follows: % 55.21/22.58 | (699) op(e1, e2) = e1 % 55.21/22.58 | % 55.21/22.58 +-Applying beta-rule and splitting (168), into two cases. % 55.21/22.58 |-Branch one: % 55.21/22.58 | (415) all_0_50_50 = e3 % 55.21/22.58 | % 55.21/22.58 | Equations (415) can reduce 566 to: % 55.21/22.58 | (277) ~ (e4 = e3) % 55.21/22.58 | % 55.21/22.58 | Simplifying 277 yields: % 55.21/22.58 | (188) ~ (e4 = e3) % 55.21/22.58 | % 55.21/22.58 | Equations (415) can reduce 302 to: % 55.21/22.58 | (212) ~ (e3 = e2) % 55.21/22.58 | % 55.21/22.58 | Equations (415) can reduce 759 to: % 55.21/22.58 | (213) ~ (e3 = e1) % 55.21/22.58 | % 55.21/22.58 | From (415) and (242) follows: % 55.21/22.59 | (1934) op(e1, e3) = e3 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (123), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (1794) all_0_46_46 = e2 % 55.21/22.59 | % 55.21/22.59 | Equations (1794) can reduce 300 to: % 55.21/22.59 | (266) $false % 55.21/22.59 | % 55.21/22.59 |-The branch is then unsatisfiable % 55.21/22.59 |-Branch two: % 55.21/22.59 | (300) ~ (all_0_46_46 = e2) % 55.21/22.59 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (112), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (635) all_0_44_44 = e1 % 55.21/22.59 | % 55.21/22.59 | Combining equations (532,635) yields a new equation: % 55.21/22.59 | (454) e3 = e1 % 55.21/22.59 | % 55.21/22.59 | Simplifying 454 yields: % 55.21/22.59 | (455) e3 = e1 % 55.21/22.59 | % 55.21/22.59 | Equations (455) can reduce 213 to: % 55.21/22.59 | (266) $false % 55.21/22.59 | % 55.21/22.59 |-The branch is then unsatisfiable % 55.21/22.59 |-Branch two: % 55.21/22.59 | (639) ~ (all_0_44_44 = e1) % 55.21/22.59 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (640), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (671) all_0_49_49 = e1 % 55.21/22.59 | % 55.21/22.59 | Equations (671) can reduce 208 to: % 55.21/22.59 | (549) ~ (all_0_46_46 = e1) % 55.21/22.59 | % 55.21/22.59 | Equations (671) can reduce 119 to: % 55.21/22.59 | (879) ~ (all_0_58_58 = e1) % 55.21/22.59 | % 55.21/22.59 | Simplifying 879 yields: % 55.21/22.59 | (880) ~ (all_0_58_58 = e1) % 55.21/22.59 | % 55.21/22.59 | Equations (671) can reduce 525 to: % 55.21/22.59 | (467) ~ (e3 = e1) % 55.21/22.59 | % 55.21/22.59 | Simplifying 467 yields: % 55.21/22.59 | (213) ~ (e3 = e1) % 55.21/22.59 | % 55.21/22.59 | Equations (671) can reduce 340 to: % 55.21/22.59 | (604) ~ (e2 = e1) % 55.21/22.59 | % 55.21/22.59 | Simplifying 604 yields: % 55.21/22.59 | (122) ~ (e2 = e1) % 55.21/22.59 | % 55.21/22.59 | From (671) and (129) follows: % 55.21/22.59 | (672) op(e1, e2) = all_0_20_20 % 55.21/22.59 | % 55.21/22.59 | From (671) and (66) follows: % 55.21/22.59 | (4238) op(e1, e0) = all_0_21_21 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (75), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (485) all_0_40_40 = e0 % 55.21/22.59 | % 55.21/22.59 | Combining equations (485,1378) yields a new equation: % 55.21/22.59 | (397) e4 = e0 % 55.21/22.59 | % 55.21/22.59 | Equations (397) can reduce 49 to: % 55.21/22.59 | (266) $false % 55.21/22.59 | % 55.21/22.59 |-The branch is then unsatisfiable % 55.21/22.59 |-Branch two: % 55.21/22.59 | (1401) ~ (all_0_40_40 = e0) % 55.21/22.59 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 55.21/22.59 | % 55.21/22.59 | Equations (1378) can reduce 1401 to: % 55.21/22.59 | (49) ~ (e4 = e0) % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (184), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (538) all_0_46_46 = e0 % 55.21/22.59 | % 55.21/22.59 | Equations (538) can reduce 300 to: % 55.21/22.59 | (365) ~ (e2 = e0) % 55.21/22.59 | % 55.21/22.59 | Simplifying 365 yields: % 55.21/22.59 | (128) ~ (e2 = e0) % 55.21/22.59 | % 55.21/22.59 | Equations (538) can reduce 549 to: % 55.21/22.59 | (435) ~ (e1 = e0) % 55.21/22.59 | % 55.21/22.59 | Simplifying 435 yields: % 55.21/22.59 | (233) ~ (e1 = e0) % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (180), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (516) all_0_42_42 = e3 % 55.21/22.59 | % 55.21/22.59 | Combining equations (1392,516) yields a new equation: % 55.21/22.59 | (424) e4 = e3 % 55.21/22.59 | % 55.21/22.59 | Simplifying 424 yields: % 55.21/22.59 | (425) e4 = e3 % 55.21/22.59 | % 55.21/22.59 | Equations (425) can reduce 188 to: % 55.21/22.59 | (266) $false % 55.21/22.59 | % 55.21/22.59 |-The branch is then unsatisfiable % 55.21/22.59 |-Branch two: % 55.21/22.59 | (405) ~ (all_0_42_42 = e3) % 55.21/22.59 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (521), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (522) all_0_47_47 = e3 % 55.21/22.59 | % 55.21/22.59 | From (522) and (23) follows: % 55.21/22.59 | (531) op(e2, e2) = e3 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (913), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (914) all_0_58_58 = e0 % 55.21/22.59 | % 55.21/22.59 | Equations (914) can reduce 880 to: % 55.21/22.59 | (435) ~ (e1 = e0) % 55.21/22.59 | % 55.21/22.59 | Simplifying 435 yields: % 55.21/22.59 | (233) ~ (e1 = e0) % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 55.21/22.59 | (1587) all_0_4_4 = e1 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e4, e2, e0, all_0_8_8 and discharging atoms op(e4, e2) = all_0_8_8, op(e4, e2) = e0, yields: % 55.21/22.59 | (4262) all_0_8_8 = e0 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 55.21/22.59 | (2156) all_0_12_12 = e3 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e2, e2, e3, all_0_34_34 and discharging atoms op(e2, e2) = all_0_34_34, op(e2, e2) = e3, yields: % 55.21/22.59 | (4264) all_0_34_34 = e3 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e2, e1, all_0_27_27, e2 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = e2, yields: % 55.21/22.59 | (1590) all_0_27_27 = e2 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e1, e2, all_0_25_25, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = all_0_25_25, yields: % 55.21/22.59 | (4266) all_0_20_20 = all_0_25_25 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e1, e2, e1, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = e1, yields: % 55.21/22.59 | (4267) all_0_20_20 = e1 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e1, e0, all_0_35_35, all_0_21_21 and discharging atoms op(e1, e0) = all_0_21_21, op(e1, e0) = all_0_35_35, yields: % 55.21/22.59 | (4268) all_0_21_21 = all_0_35_35 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e1, e0, e2, all_0_21_21 and discharging atoms op(e1, e0) = all_0_21_21, op(e1, e0) = e2, yields: % 55.21/22.59 | (4269) all_0_21_21 = e2 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 55.21/22.59 | (1595) all_0_2_2 = e3 % 55.21/22.59 | % 55.21/22.59 | Combining equations (4267,4266) yields a new equation: % 55.21/22.59 | (4271) all_0_25_25 = e1 % 55.21/22.59 | % 55.21/22.59 | Combining equations (4268,4269) yields a new equation: % 55.21/22.59 | (4272) all_0_35_35 = e2 % 55.21/22.59 | % 55.21/22.59 | Simplifying 4272 yields: % 55.21/22.59 | (4273) all_0_35_35 = e2 % 55.21/22.59 | % 55.21/22.59 | From (1587) and (1455) follows: % 55.21/22.59 | (41) op(e4, e4) = e1 % 55.21/22.59 | % 55.21/22.59 | From (4262) and (4073) follows: % 55.21/22.59 | (4090) op(e4, e2) = e0 % 55.21/22.59 | % 55.21/22.59 | From (2156) and (1954) follows: % 55.21/22.59 | (1639) op(e3, e0) = e3 % 55.21/22.59 | % 55.21/22.59 | From (4264) and (4151) follows: % 55.21/22.59 | (531) op(e2, e2) = e3 % 55.21/22.59 | % 55.21/22.59 | From (1590) and (1555) follows: % 55.21/22.59 | (347) op(e2, e1) = e2 % 55.21/22.59 | % 55.21/22.59 | From (4271) and (4211) follows: % 55.21/22.59 | (699) op(e1, e2) = e1 % 55.21/22.59 | % 55.21/22.59 | From (4273) and (3580) follows: % 55.21/22.59 | (2566) op(e1, e0) = e2 % 55.21/22.59 | % 55.21/22.59 | From (1595) and (1412) follows: % 55.21/22.59 | (283) op(e0, e4) = e3 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (56), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (696) unit = e2 % 55.21/22.59 | % 55.21/22.59 | From (696) and (211) follows: % 55.21/22.59 | (1612) op(e2, e1) = e1 % 55.21/22.59 | % 55.21/22.59 | From (696) and (227) follows: % 55.21/22.59 | (4284) op(e4, e2) = e4 % 55.21/22.59 | % 55.21/22.59 | From (696) and (40) follows: % 55.21/22.59 | (4285) op(e3, e2) = e3 % 55.21/22.59 | % 55.21/22.59 | From (696) and (32) follows: % 55.21/22.59 | (698) op(e2, e2) = e2 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 55.21/22.59 | (397) e4 = e0 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 55.21/22.59 | (425) e4 = e3 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 55.21/22.59 | (662) e3 = e2 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 55.21/22.59 | (617) e2 = e1 % 55.21/22.59 | % 55.21/22.59 | Combining equations (397,425) yields a new equation: % 55.21/22.59 | (676) e3 = e0 % 55.21/22.59 | % 55.21/22.59 | Combining equations (676,662) yields a new equation: % 55.21/22.59 | (330) e2 = e0 % 55.21/22.59 | % 55.21/22.59 | Combining equations (617,330) yields a new equation: % 55.21/22.59 | (546) e1 = e0 % 55.21/22.59 | % 55.21/22.59 | Simplifying 546 yields: % 55.21/22.59 | (431) e1 = e0 % 55.21/22.59 | % 55.21/22.59 | Equations (431) can reduce 233 to: % 55.21/22.59 | (266) $false % 55.21/22.59 | % 55.21/22.59 |-The branch is then unsatisfiable % 55.21/22.59 |-Branch two: % 55.21/22.59 | (707) ~ (unit = e2) % 55.21/22.59 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (708), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (709) unit = e4 % 55.21/22.59 | % 55.21/22.59 | From (709) and (227) follows: % 55.21/22.59 | (710) op(e4, e4) = e4 % 55.21/22.59 | % 55.21/22.59 | From (709) and (40) follows: % 55.21/22.59 | (711) op(e3, e4) = e3 % 55.21/22.59 | % 55.21/22.59 | From (709) and (32) follows: % 55.21/22.59 | (712) op(e2, e4) = e2 % 55.21/22.59 | % 55.21/22.59 | From (709) and (42) follows: % 55.21/22.59 | (713) op(e0, e4) = e0 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.21/22.59 | (630) e4 = e1 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.21/22.59 | (662) e3 = e2 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.21/22.59 | (323) e4 = e2 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.21/22.59 | (676) e3 = e0 % 55.21/22.59 | % 55.21/22.59 | Combining equations (630,323) yields a new equation: % 55.21/22.59 | (617) e2 = e1 % 55.21/22.59 | % 55.21/22.59 | Combining equations (662,676) yields a new equation: % 55.21/22.59 | (391) e2 = e0 % 55.21/22.59 | % 55.21/22.59 | Simplifying 391 yields: % 55.21/22.59 | (330) e2 = e0 % 55.21/22.59 | % 55.21/22.59 | Combining equations (617,330) yields a new equation: % 55.21/22.59 | (546) e1 = e0 % 55.21/22.59 | % 55.21/22.59 | Simplifying 546 yields: % 55.21/22.59 | (431) e1 = e0 % 55.21/22.59 | % 55.21/22.59 | Equations (431) can reduce 233 to: % 55.21/22.59 | (266) $false % 55.21/22.59 | % 55.21/22.59 |-The branch is then unsatisfiable % 55.21/22.59 |-Branch two: % 55.21/22.59 | (724) ~ (unit = e4) % 55.21/22.59 | (725) unit = e3 | unit = e1 | unit = e0 % 55.21/22.59 | % 55.21/22.59 +-Applying beta-rule and splitting (725), into two cases. % 55.21/22.59 |-Branch one: % 55.21/22.59 | (726) unit = e0 % 55.21/22.59 | % 55.21/22.59 | From (726) and (28) follows: % 55.21/22.59 | (2698) op(e1, e0) = e1 % 55.21/22.59 | % 55.21/22.59 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 55.21/22.59 | (617) e2 = e1 % 55.21/22.59 | % 55.21/22.59 | Equations (617) can reduce 122 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (734) ~ (unit = e0) % 55.21/22.60 | (735) unit = e3 | unit = e1 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (735), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (736) unit = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (736) can reduce 734 to: % 55.21/22.60 | (233) ~ (e1 = e0) % 55.21/22.60 | % 55.21/22.60 | From (736) and (15) follows: % 55.21/22.60 | (515) op(e1, e2) = e2 % 55.21/22.60 | % 55.21/22.60 | From (736) and (209) follows: % 55.21/22.60 | (2715) op(e1, e0) = e0 % 55.21/22.60 | % 55.21/22.60 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.21/22.60 | (617) e2 = e1 % 55.21/22.60 | % 55.21/22.60 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 55.21/22.60 | (330) e2 = e0 % 55.21/22.60 | % 55.21/22.60 | Combining equations (330,617) yields a new equation: % 55.21/22.60 | (431) e1 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (431) can reduce 233 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (748) ~ (unit = e1) % 55.21/22.60 | (749) unit = e3 % 55.21/22.60 | % 55.21/22.60 | From (749) and (209) follows: % 55.21/22.60 | (1667) op(e3, e0) = e0 % 55.21/22.60 | % 55.21/22.60 | From (749) and (28) follows: % 55.21/22.60 | (2235) op(e1, e3) = e1 % 55.21/22.60 | % 55.21/22.60 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 55.21/22.60 | (676) e3 = e0 % 55.21/22.60 | % 55.21/22.60 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 55.21/22.60 | (455) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Combining equations (676,455) yields a new equation: % 55.21/22.60 | (431) e1 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (431) can reduce 233 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (491) ~ (all_0_58_58 = e0) % 55.21/22.60 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (863), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (679) all_0_56_56 = e0 % 55.21/22.60 | % 55.21/22.60 | Combining equations (833,679) yields a new equation: % 55.21/22.60 | (391) e2 = e0 % 55.21/22.60 | % 55.21/22.60 | Simplifying 391 yields: % 55.21/22.60 | (330) e2 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (330) can reduce 128 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (828) ~ (all_0_56_56 = e0) % 55.21/22.60 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (924), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (875) all_0_57_57 = e0 % 55.21/22.60 | % 55.21/22.60 | Combining equations (875,647) yields a new equation: % 55.21/22.60 | (431) e1 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (431) can reduce 233 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (364) ~ (all_0_57_57 = e0) % 55.21/22.60 | (914) all_0_58_58 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (914) can reduce 491 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (1091) ~ (all_0_47_47 = e3) % 55.21/22.60 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (1092), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (660) all_0_51_51 = e3 % 55.21/22.60 | % 55.21/22.60 | Combining equations (660,1109) yields a new equation: % 55.21/22.60 | (454) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Simplifying 454 yields: % 55.21/22.60 | (455) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (455) can reduce 213 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (664) ~ (all_0_51_51 = e3) % 55.21/22.60 | (1097) all_0_56_56 = e3 % 55.21/22.60 | % 55.21/22.60 | Combining equations (833,1097) yields a new equation: % 55.21/22.60 | (662) e3 = e2 % 55.21/22.60 | % 55.21/22.60 | Equations (662) can reduce 212 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (831) ~ (all_0_46_46 = e0) % 55.21/22.60 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (395), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (794) all_0_41_41 = e0 % 55.21/22.60 | % 55.21/22.60 | Combining equations (794,453) yields a new equation: % 55.21/22.60 | (431) e1 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (431) can reduce 233 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (357) ~ (all_0_41_41 = e0) % 55.21/22.60 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (895), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (538) all_0_46_46 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (538) can reduce 831 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (831) ~ (all_0_46_46 = e0) % 55.21/22.60 | (858) all_0_55_55 = e0 % 55.21/22.60 | % 55.21/22.60 | Combining equations (587,858) yields a new equation: % 55.21/22.60 | (481) e4 = e0 % 55.21/22.60 | % 55.21/22.60 | Simplifying 481 yields: % 55.21/22.60 | (397) e4 = e0 % 55.21/22.60 | % 55.21/22.60 | Equations (397) can reduce 49 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (1064) ~ (all_0_49_49 = e1) % 55.21/22.60 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (2141), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (1208) all_0_53_53 = e1 % 55.21/22.60 | % 55.21/22.60 | Combining equations (607,1208) yields a new equation: % 55.21/22.60 | (616) e2 = e1 % 55.21/22.60 | % 55.21/22.60 | Simplifying 616 yields: % 55.21/22.60 | (617) e2 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (617) can reduce 122 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (1459) ~ (all_0_53_53 = e1) % 55.21/22.60 | (918) all_0_58_58 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (918) can reduce 880 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (411) ~ (all_0_50_50 = e3) % 55.21/22.60 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (144), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (403) all_0_41_41 = e3 % 55.21/22.60 | % 55.21/22.60 | Combining equations (453,403) yields a new equation: % 55.21/22.60 | (455) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (455) can reduce 213 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (1898) ~ (all_0_41_41 = e3) % 55.21/22.60 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 55.21/22.60 | % 55.21/22.60 | Equations (453) can reduce 1898 to: % 55.21/22.60 | (467) ~ (e3 = e1) % 55.21/22.60 | % 55.21/22.60 | Simplifying 467 yields: % 55.21/22.60 | (213) ~ (e3 = e1) % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (112), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (635) all_0_44_44 = e1 % 55.21/22.60 | % 55.21/22.60 | Combining equations (532,635) yields a new equation: % 55.21/22.60 | (454) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Simplifying 454 yields: % 55.21/22.60 | (455) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (455) can reduce 213 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (639) ~ (all_0_44_44 = e1) % 55.21/22.60 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (532) can reduce 639 to: % 55.21/22.60 | (213) ~ (e3 = e1) % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (418), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (660) all_0_51_51 = e3 % 55.21/22.60 | % 55.21/22.60 | Combining equations (1109,660) yields a new equation: % 55.21/22.60 | (455) e3 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (455) can reduce 213 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (664) ~ (all_0_51_51 = e3) % 55.21/22.60 | (665) all_0_53_53 = e3 % 55.21/22.60 | % 55.21/22.60 | Combining equations (607,665) yields a new equation: % 55.21/22.60 | (662) e3 = e2 % 55.21/22.60 | % 55.21/22.60 | Equations (662) can reduce 212 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (464) ~ (all_0_51_51 = e1) % 55.21/22.60 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (1202), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (642) all_0_52_52 = e1 % 55.21/22.60 | % 55.21/22.60 | Combining equations (565,642) yields a new equation: % 55.21/22.60 | (636) e4 = e1 % 55.21/22.60 | % 55.21/22.60 | Simplifying 636 yields: % 55.21/22.60 | (630) e4 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (630) can reduce 110 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (646) ~ (all_0_52_52 = e1) % 55.21/22.60 | (1208) all_0_53_53 = e1 % 55.21/22.60 | % 55.21/22.60 | Combining equations (607,1208) yields a new equation: % 55.21/22.60 | (616) e2 = e1 % 55.21/22.60 | % 55.21/22.60 | Simplifying 616 yields: % 55.21/22.60 | (617) e2 = e1 % 55.21/22.60 | % 55.21/22.60 | Equations (617) can reduce 122 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (763) ~ (all_0_55_55 = e4) % 55.21/22.60 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.21/22.60 | % 55.21/22.60 +-Applying beta-rule and splitting (422), into two cases. % 55.21/22.60 |-Branch one: % 55.21/22.60 | (775) all_0_50_50 = e4 % 55.21/22.60 | % 55.21/22.60 | Equations (775) can reduce 566 to: % 55.21/22.60 | (266) $false % 55.21/22.60 | % 55.21/22.60 |-The branch is then unsatisfiable % 55.21/22.60 |-Branch two: % 55.21/22.60 | (566) ~ (all_0_50_50 = e4) % 55.21/22.60 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 55.21/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (1444), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (601) all_0_50_50 = e1 % 55.48/22.60 | % 55.48/22.60 | Equations (601) can reduce 759 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (759) ~ (all_0_50_50 = e1) % 55.48/22.60 | (415) all_0_50_50 = e3 % 55.48/22.60 | % 55.48/22.60 | Equations (415) can reduce 35 to: % 55.48/22.60 | (409) ~ (all_0_46_46 = e3) % 55.48/22.60 | % 55.48/22.60 | Equations (415) can reduce 93 to: % 55.48/22.60 | (269) ~ (all_0_55_55 = e3) % 55.48/22.60 | % 55.48/22.60 | Simplifying 269 yields: % 55.48/22.60 | (270) ~ (all_0_55_55 = e3) % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (174), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (386) all_0_55_55 = e2 % 55.48/22.60 | % 55.48/22.60 | Equations (386) can reduce 304 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (304) ~ (all_0_55_55 = e2) % 55.48/22.60 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (123), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (1794) all_0_46_46 = e2 % 55.48/22.60 | % 55.48/22.60 | Equations (1794) can reduce 300 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (300) ~ (all_0_46_46 = e2) % 55.48/22.60 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (1797), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (770) all_0_46_46 = e4 % 55.48/22.60 | % 55.48/22.60 | Equations (770) can reduce 250 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (250) ~ (all_0_46_46 = e4) % 55.48/22.60 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (1801), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (538) all_0_46_46 = e0 % 55.48/22.60 | % 55.48/22.60 | Equations (538) can reduce 58 to: % 55.48/22.60 | (4444) ~ (all_0_55_55 = e0) % 55.48/22.60 | % 55.48/22.60 | Simplifying 4444 yields: % 55.48/22.60 | (803) ~ (all_0_55_55 = e0) % 55.48/22.60 | % 55.48/22.60 | Equations (538) can reduce 300 to: % 55.48/22.60 | (365) ~ (e2 = e0) % 55.48/22.60 | % 55.48/22.60 | Simplifying 365 yields: % 55.48/22.60 | (128) ~ (e2 = e0) % 55.48/22.60 | % 55.48/22.60 | Equations (538) can reduce 549 to: % 55.48/22.60 | (435) ~ (e1 = e0) % 55.48/22.60 | % 55.48/22.60 | Simplifying 435 yields: % 55.48/22.60 | (233) ~ (e1 = e0) % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (125), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (858) all_0_55_55 = e0 % 55.48/22.60 | % 55.48/22.60 | Equations (858) can reduce 803 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (803) ~ (all_0_55_55 = e0) % 55.48/22.60 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (863), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (679) all_0_56_56 = e0 % 55.48/22.60 | % 55.48/22.60 | Combining equations (833,679) yields a new equation: % 55.48/22.60 | (391) e2 = e0 % 55.48/22.60 | % 55.48/22.60 | Simplifying 391 yields: % 55.48/22.60 | (330) e2 = e0 % 55.48/22.60 | % 55.48/22.60 | Equations (330) can reduce 128 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (828) ~ (all_0_56_56 = e0) % 55.48/22.60 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (924), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (875) all_0_57_57 = e0 % 55.48/22.60 | % 55.48/22.60 | Combining equations (647,875) yields a new equation: % 55.48/22.60 | (546) e1 = e0 % 55.48/22.60 | % 55.48/22.60 | Simplifying 546 yields: % 55.48/22.60 | (431) e1 = e0 % 55.48/22.60 | % 55.48/22.60 | Equations (431) can reduce 233 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (364) ~ (all_0_57_57 = e0) % 55.48/22.60 | (914) all_0_58_58 = e0 % 55.48/22.60 | % 55.48/22.60 | Equations (914) can reduce 3 to: % 55.48/22.60 | (803) ~ (all_0_55_55 = e0) % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (2051), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (587) all_0_55_55 = e4 % 55.48/22.60 | % 55.48/22.60 | Equations (587) can reduce 763 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (763) ~ (all_0_55_55 = e4) % 55.48/22.60 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (2055), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (858) all_0_55_55 = e0 % 55.48/22.60 | % 55.48/22.60 | Equations (858) can reduce 803 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (803) ~ (all_0_55_55 = e0) % 55.48/22.60 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 55.48/22.60 | % 55.48/22.60 +-Applying beta-rule and splitting (2315), into two cases. % 55.48/22.60 |-Branch one: % 55.48/22.60 | (629) all_0_55_55 = e1 % 55.48/22.60 | % 55.48/22.60 | Equations (629) can reduce 632 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (632) ~ (all_0_55_55 = e1) % 55.48/22.60 | (2336) all_0_55_55 = e3 % 55.48/22.60 | % 55.48/22.60 | Equations (2336) can reduce 270 to: % 55.48/22.60 | (266) $false % 55.48/22.60 | % 55.48/22.60 |-The branch is then unsatisfiable % 55.48/22.60 |-Branch two: % 55.48/22.60 | (831) ~ (all_0_46_46 = e0) % 55.48/22.61 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (1838), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (545) all_0_46_46 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (545) can reduce 549 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (549) ~ (all_0_46_46 = e1) % 55.48/22.61 | (1557) all_0_46_46 = e3 % 55.48/22.61 | % 55.48/22.61 | Equations (1557) can reduce 409 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (511) ~ (all_0_56_56 = e2) % 55.48/22.61 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (836), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (842) all_0_56_56 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (842) can reduce 477 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (477) ~ (all_0_56_56 = e4) % 55.48/22.61 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (389), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (833) all_0_56_56 = e2 % 55.48/22.61 | % 55.48/22.61 | Equations (833) can reduce 511 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (511) ~ (all_0_56_56 = e2) % 55.48/22.61 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (1709), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (442) all_0_57_57 = e2 % 55.48/22.61 | % 55.48/22.61 | Combining equations (647,442) yields a new equation: % 55.48/22.61 | (617) e2 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (617) can reduce 122 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (344) ~ (all_0_57_57 = e2) % 55.48/22.61 | (624) all_0_58_58 = e2 % 55.48/22.61 | % 55.48/22.61 | Equations (624) can reduce 451 to: % 55.48/22.61 | (327) ~ (e4 = e2) % 55.48/22.61 | % 55.48/22.61 | Simplifying 327 yields: % 55.48/22.61 | (48) ~ (e4 = e2) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (575), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (587) all_0_55_55 = e4 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (125), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (858) all_0_55_55 = e0 % 55.48/22.61 | % 55.48/22.61 | Combining equations (858,587) yields a new equation: % 55.48/22.61 | (397) e4 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (397) can reduce 49 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (803) ~ (all_0_55_55 = e0) % 55.48/22.61 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (863), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (679) all_0_56_56 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (679) can reduce 828 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (828) ~ (all_0_56_56 = e0) % 55.48/22.61 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (845), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (679) all_0_56_56 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (679) can reduce 828 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (828) ~ (all_0_56_56 = e0) % 55.48/22.61 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (3172), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (1569) all_0_56_56 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (1569) can reduce 466 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (466) ~ (all_0_56_56 = e1) % 55.48/22.61 | (1097) all_0_56_56 = e3 % 55.48/22.61 | % 55.48/22.61 | Equations (1097) can reduce 272 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (763) ~ (all_0_55_55 = e4) % 55.48/22.61 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (764), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (842) all_0_56_56 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (842) can reduce 477 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (477) ~ (all_0_56_56 = e4) % 55.48/22.61 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (131), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (459) all_0_42_42 = e1 % 55.48/22.61 | % 55.48/22.61 | Combining equations (1392,459) yields a new equation: % 55.48/22.61 | (636) e4 = e1 % 55.48/22.61 | % 55.48/22.61 | Simplifying 636 yields: % 55.48/22.61 | (630) e4 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (630) can reduce 110 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (1380) ~ (all_0_42_42 = e1) % 55.48/22.61 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (1392) can reduce 1380 to: % 55.48/22.61 | (110) ~ (e4 = e1) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (62), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (321) all_0_38_38 = e4 % 55.48/22.61 | % 55.48/22.61 | Combining equations (321,292) yields a new equation: % 55.48/22.61 | (322) e4 = e2 % 55.48/22.61 | % 55.48/22.61 | Simplifying 322 yields: % 55.48/22.61 | (323) e4 = e2 % 55.48/22.61 | % 55.48/22.61 | Equations (323) can reduce 48 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (325) ~ (all_0_38_38 = e4) % 55.48/22.61 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (292) can reduce 325 to: % 55.48/22.61 | (327) ~ (e4 = e2) % 55.48/22.61 | % 55.48/22.61 | Simplifying 327 yields: % 55.48/22.61 | (48) ~ (e4 = e2) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (582), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (437) all_0_41_41 = e4 % 55.48/22.61 | % 55.48/22.61 | Combining equations (453,437) yields a new equation: % 55.48/22.61 | (630) e4 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (630) can reduce 110 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (440) ~ (all_0_41_41 = e4) % 55.48/22.61 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (453) can reduce 440 to: % 55.48/22.61 | (602) ~ (e4 = e1) % 55.48/22.61 | % 55.48/22.61 | Simplifying 602 yields: % 55.48/22.61 | (110) ~ (e4 = e1) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (935), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (871) all_0_57_57 = e4 % 55.48/22.61 | % 55.48/22.61 | Combining equations (871,647) yields a new equation: % 55.48/22.61 | (636) e4 = e1 % 55.48/22.61 | % 55.48/22.61 | Simplifying 636 yields: % 55.48/22.61 | (630) e4 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (630) can reduce 110 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (839) ~ (all_0_57_57 = e4) % 55.48/22.61 | (910) all_0_58_58 = e4 % 55.48/22.61 | % 55.48/22.61 | Combining equations (624,910) yields a new equation: % 55.48/22.61 | (323) e4 = e2 % 55.48/22.61 | % 55.48/22.61 | Equations (323) can reduce 48 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (780) ~ (all_0_52_52 = e4) % 55.48/22.61 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (355), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (565) all_0_52_52 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (565) can reduce 780 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (780) ~ (all_0_52_52 = e4) % 55.48/22.61 | (642) all_0_52_52 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (642) can reduce 342 to: % 55.48/22.61 | (604) ~ (e2 = e1) % 55.48/22.61 | % 55.48/22.61 | Simplifying 604 yields: % 55.48/22.61 | (122) ~ (e2 = e1) % 55.48/22.61 | % 55.48/22.61 | Equations (642) can reduce 72 to: % 55.48/22.61 | (233) ~ (e1 = e0) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (781), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (789), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (790), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (791), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (792), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 55.48/22.61 | % 55.48/22.61 | Applying alpha-rule on (793) yields: % 55.48/22.61 | (794) all_0_41_41 = e0 % 55.48/22.61 | (795) all_0_58_58 = e3 % 55.48/22.61 | (407) ~ (all_0_44_44 = e3) % 55.48/22.61 | % 55.48/22.61 | Combining equations (453,794) yields a new equation: % 55.48/22.61 | (546) e1 = e0 % 55.48/22.61 | % 55.48/22.61 | Simplifying 546 yields: % 55.48/22.61 | (431) e1 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (431) can reduce 233 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 55.48/22.61 | % 55.48/22.61 | Applying alpha-rule on (800) yields: % 55.48/22.61 | (794) all_0_41_41 = e0 % 55.48/22.61 | (795) all_0_58_58 = e3 % 55.48/22.61 | (803) ~ (all_0_55_55 = e0) % 55.48/22.61 | % 55.48/22.61 | Combining equations (453,794) yields a new equation: % 55.48/22.61 | (546) e1 = e0 % 55.48/22.61 | % 55.48/22.61 | Simplifying 546 yields: % 55.48/22.61 | (431) e1 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (431) can reduce 233 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 55.48/22.61 | % 55.48/22.61 | Applying alpha-rule on (807) yields: % 55.48/22.61 | (654) all_0_47_47 = e1 % 55.48/22.61 | (352) all_0_52_52 = e2 % 55.48/22.61 | (810) ~ (all_0_48_48 = e2) % 55.48/22.61 | % 55.48/22.61 | Combining equations (352,642) yields a new equation: % 55.48/22.61 | (616) e2 = e1 % 55.48/22.61 | % 55.48/22.61 | Simplifying 616 yields: % 55.48/22.61 | (617) e2 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (617) can reduce 122 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 55.48/22.61 | % 55.48/22.61 | Applying alpha-rule on (813) yields: % 55.48/22.61 | (654) all_0_47_47 = e1 % 55.48/22.61 | (352) all_0_52_52 = e2 % 55.48/22.61 | (464) ~ (all_0_51_51 = e1) % 55.48/22.61 | % 55.48/22.61 | Combining equations (352,642) yields a new equation: % 55.48/22.61 | (616) e2 = e1 % 55.48/22.61 | % 55.48/22.61 | Simplifying 616 yields: % 55.48/22.61 | (617) e2 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (617) can reduce 122 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 55.48/22.61 | % 55.48/22.61 | Applying alpha-rule on (819) yields: % 55.48/22.61 | (674) all_0_47_47 = e0 % 55.48/22.61 | (624) all_0_58_58 = e2 % 55.48/22.61 | (340) ~ (all_0_49_49 = e2) % 55.48/22.61 | % 55.48/22.61 | Equations (674) can reduce 678 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 55.48/22.61 | % 55.48/22.61 | Applying alpha-rule on (825) yields: % 55.48/22.61 | (674) all_0_47_47 = e0 % 55.48/22.61 | (624) all_0_58_58 = e2 % 55.48/22.61 | (828) ~ (all_0_56_56 = e0) % 55.48/22.61 | % 55.48/22.61 | Equations (674) can reduce 678 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (1890) ~ (all_0_42_42 = e4) % 55.48/22.61 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (1969), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (559) all_0_42_42 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (559) can reduce 358 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (358) ~ (all_0_42_42 = e0) % 55.48/22.61 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (64), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (437) all_0_41_41 = e4 % 55.48/22.61 | % 55.48/22.61 | Combining equations (453,437) yields a new equation: % 55.48/22.61 | (630) e4 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (630) can reduce 110 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (440) ~ (all_0_41_41 = e4) % 55.48/22.61 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (441), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (1392) all_0_42_42 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (1392) can reduce 1890 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (1890) ~ (all_0_42_42 = e4) % 55.48/22.61 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (2510), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (459) all_0_42_42 = e1 % 55.48/22.61 | % 55.48/22.61 | Equations (459) can reduce 1380 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (1380) ~ (all_0_42_42 = e1) % 55.48/22.61 | (516) all_0_42_42 = e3 % 55.48/22.61 | % 55.48/22.61 | Equations (516) can reduce 145 to: % 55.48/22.61 | (246) ~ (all_0_39_39 = e3) % 55.48/22.61 | % 55.48/22.61 | Equations (516) can reduce 236 to: % 55.48/22.61 | (271) ~ (all_0_56_56 = e3) % 55.48/22.61 | % 55.48/22.61 | Simplifying 271 yields: % 55.48/22.61 | (272) ~ (all_0_56_56 = e3) % 55.48/22.61 | % 55.48/22.61 | Equations (516) can reduce 1380 to: % 55.48/22.61 | (213) ~ (e3 = e1) % 55.48/22.61 | % 55.48/22.61 | From (516) and (225) follows: % 55.48/22.61 | (4633) op(e3, e2) = all_0_8_8 % 55.48/22.61 | % 55.48/22.61 | From (516) and (210) follows: % 55.48/22.61 | (4285) op(e3, e2) = e3 % 55.48/22.61 | % 55.48/22.61 +-Applying beta-rule and splitting (1891), into two cases. % 55.48/22.61 |-Branch one: % 55.48/22.61 | (396) all_0_43_43 = e4 % 55.48/22.61 | % 55.48/22.61 | Combining equations (356,396) yields a new equation: % 55.48/22.61 | (397) e4 = e0 % 55.48/22.61 | % 55.48/22.61 | Equations (397) can reduce 49 to: % 55.48/22.61 | (266) $false % 55.48/22.61 | % 55.48/22.61 |-The branch is then unsatisfiable % 55.48/22.61 |-Branch two: % 55.48/22.61 | (399) ~ (all_0_43_43 = e4) % 55.48/22.61 | (446) all_0_44_44 = e4 % 55.48/22.61 | % 55.48/22.61 | Equations (446) can reduce 143 to: % 55.48/22.61 | (447) ~ (all_0_40_40 = e4) % 55.48/22.61 | % 55.48/22.61 | Equations (446) can reduce 9 to: % 55.48/22.61 | (255) ~ (all_0_49_49 = e4) % 55.48/22.62 | % 55.48/22.62 | Simplifying 255 yields: % 55.48/22.62 | (256) ~ (all_0_49_49 = e4) % 55.48/22.62 | % 55.48/22.62 | Equations (446) can reduce 181 to: % 55.48/22.62 | (450) ~ (all_0_58_58 = e4) % 55.48/22.62 | % 55.48/22.62 | Simplifying 450 yields: % 55.48/22.62 | (451) ~ (all_0_58_58 = e4) % 55.48/22.62 | % 55.48/22.62 | From (446) and (70) follows: % 55.48/22.62 | (4645) op(e4, e0) = all_0_12_12 % 55.48/22.62 | % 55.48/22.62 | From (446) and (138) follows: % 55.48/22.62 | (4646) op(e3, e0) = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (316), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (1378) all_0_40_40 = e4 % 55.48/22.62 | % 55.48/22.62 | Equations (1378) can reduce 447 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (447) ~ (all_0_40_40 = e4) % 55.48/22.62 | (485) all_0_40_40 = e0 % 55.48/22.62 | % 55.48/22.62 | Equations (485) can reduce 176 to: % 55.48/22.62 | (484) ~ (all_0_39_39 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (485) can reduce 200 to: % 55.48/22.62 | (486) ~ (all_0_49_49 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 486 yields: % 55.48/22.62 | (487) ~ (all_0_49_49 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (485) can reduce 178 to: % 55.48/22.62 | (490) ~ (all_0_58_58 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 490 yields: % 55.48/22.62 | (491) ~ (all_0_58_58 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (485) can reduce 447 to: % 55.48/22.62 | (401) ~ (e4 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 401 yields: % 55.48/22.62 | (49) ~ (e4 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (485) can reduce 296 to: % 55.48/22.62 | (365) ~ (e2 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 365 yields: % 55.48/22.62 | (128) ~ (e2 = e0) % 55.48/22.62 | % 55.48/22.62 | From (485) and (34) follows: % 55.48/22.62 | (494) op(e0, e4) = all_0_4_4 % 55.48/22.62 | % 55.48/22.62 | From (485) and (203) follows: % 55.48/22.62 | (495) op(e0, e0) = all_0_5_5 % 55.48/22.62 | % 55.48/22.62 | From (485) and (234) follows: % 55.48/22.62 | (3072) op(e4, e0) = e0 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (326), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (471) all_0_39_39 = e4 % 55.48/22.62 | % 55.48/22.62 | Equations (471) can reduce 79 to: % 55.48/22.62 | (251) ~ (all_0_47_47 = e4) % 55.48/22.62 | % 55.48/22.62 | Simplifying 251 yields: % 55.48/22.62 | (252) ~ (all_0_47_47 = e4) % 55.48/22.62 | % 55.48/22.62 | Equations (471) can reduce 154 to: % 55.48/22.62 | (476) ~ (all_0_56_56 = e4) % 55.48/22.62 | % 55.48/22.62 | Simplifying 476 yields: % 55.48/22.62 | (477) ~ (all_0_56_56 = e4) % 55.48/22.62 | % 55.48/22.62 | Equations (471) can reduce 246 to: % 55.48/22.62 | (188) ~ (e4 = e3) % 55.48/22.62 | % 55.48/22.62 | Equations (471) can reduce 294 to: % 55.48/22.62 | (48) ~ (e4 = e2) % 55.48/22.62 | % 55.48/22.62 | Equations (471) can reduce 151 to: % 55.48/22.62 | (110) ~ (e4 = e1) % 55.48/22.62 | % 55.48/22.62 | Equations (471) can reduce 484 to: % 55.48/22.62 | (49) ~ (e4 = e0) % 55.48/22.62 | % 55.48/22.62 | From (471) and (182) follows: % 55.48/22.62 | (479) op(e4, e4) = all_0_2_2 % 55.48/22.62 | % 55.48/22.62 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 55.48/22.62 | (496) all_0_2_2 = e1 % 55.48/22.62 | % 55.48/22.62 | Instantiating formula (29) with e4, e0, e0, all_0_12_12 and discharging atoms op(e4, e0) = all_0_12_12, op(e4, e0) = e0, yields: % 55.48/22.62 | (4674) all_0_12_12 = e0 % 55.48/22.62 | % 55.48/22.62 | Instantiating formula (29) with e3, e2, e3, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = e3, yields: % 55.48/22.62 | (4675) all_0_8_8 = e3 % 55.48/22.62 | % 55.48/22.62 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 55.48/22.62 | (498) all_0_4_4 = e3 % 55.48/22.62 | % 55.48/22.62 | Instantiating formula (29) with e0, e0, all_0_5_5, all_0_58_58 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = all_0_58_58, yields: % 55.48/22.62 | (499) all_0_5_5 = all_0_58_58 % 55.48/22.62 | % 55.48/22.62 | From (496) and (479) follows: % 55.48/22.62 | (41) op(e4, e4) = e1 % 55.48/22.62 | % 55.48/22.62 | From (4674) and (4645) follows: % 55.48/22.62 | (3072) op(e4, e0) = e0 % 55.48/22.62 | % 55.48/22.62 | From (4675) and (4633) follows: % 55.48/22.62 | (4285) op(e3, e2) = e3 % 55.48/22.62 | % 55.48/22.62 | From (498) and (494) follows: % 55.48/22.62 | (283) op(e0, e4) = e3 % 55.48/22.62 | % 55.48/22.62 | From (499) and (495) follows: % 55.48/22.62 | (245) op(e0, e0) = all_0_58_58 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (168), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (415) all_0_50_50 = e3 % 55.48/22.62 | % 55.48/22.62 | Equations (415) can reduce 59 to: % 55.48/22.62 | (1925) ~ (all_0_51_51 = e3) % 55.48/22.62 | % 55.48/22.62 | Simplifying 1925 yields: % 55.48/22.62 | (664) ~ (all_0_51_51 = e3) % 55.48/22.62 | % 55.48/22.62 | Equations (415) can reduce 190 to: % 55.48/22.62 | (1114) ~ (all_0_53_53 = e3) % 55.48/22.62 | % 55.48/22.62 | Simplifying 1114 yields: % 55.48/22.62 | (903) ~ (all_0_53_53 = e3) % 55.48/22.62 | % 55.48/22.62 | Equations (415) can reduce 93 to: % 55.48/22.62 | (269) ~ (all_0_55_55 = e3) % 55.48/22.62 | % 55.48/22.62 | Simplifying 269 yields: % 55.48/22.62 | (270) ~ (all_0_55_55 = e3) % 55.48/22.62 | % 55.48/22.62 | Equations (415) can reduce 759 to: % 55.48/22.62 | (213) ~ (e3 = e1) % 55.48/22.62 | % 55.48/22.62 | From (415) and (57) follows: % 55.48/22.62 | (1933) op(e3, e1) = all_0_22_22 % 55.48/22.62 | % 55.48/22.62 | From (415) and (242) follows: % 55.48/22.62 | (1934) op(e1, e3) = e3 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (62), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (321) all_0_38_38 = e4 % 55.48/22.62 | % 55.48/22.62 | Combining equations (292,321) yields a new equation: % 55.48/22.62 | (323) e4 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (323) can reduce 48 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (325) ~ (all_0_38_38 = e4) % 55.48/22.62 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (582), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (437) all_0_41_41 = e4 % 55.48/22.62 | % 55.48/22.62 | Combining equations (453,437) yields a new equation: % 55.48/22.62 | (630) e4 = e1 % 55.48/22.62 | % 55.48/22.62 | Equations (630) can reduce 110 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (440) ~ (all_0_41_41 = e4) % 55.48/22.62 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (769), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (770) all_0_46_46 = e4 % 55.48/22.62 | % 55.48/22.62 | Equations (770) can reduce 250 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (250) ~ (all_0_46_46 = e4) % 55.48/22.62 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (774), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (775) all_0_50_50 = e4 % 55.48/22.62 | % 55.48/22.62 | Combining equations (415,775) yields a new equation: % 55.48/22.62 | (425) e4 = e3 % 55.48/22.62 | % 55.48/22.62 | Equations (425) can reduce 188 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (566) ~ (all_0_50_50 = e4) % 55.48/22.62 | (587) all_0_55_55 = e4 % 55.48/22.62 | % 55.48/22.62 | Equations (587) can reduce 81 to: % 55.48/22.62 | (838) ~ (all_0_57_57 = e4) % 55.48/22.62 | % 55.48/22.62 | Simplifying 838 yields: % 55.48/22.62 | (839) ~ (all_0_57_57 = e4) % 55.48/22.62 | % 55.48/22.62 | Equations (587) can reduce 270 to: % 55.48/22.62 | (188) ~ (e4 = e3) % 55.48/22.62 | % 55.48/22.62 | Equations (587) can reduce 304 to: % 55.48/22.62 | (48) ~ (e4 = e2) % 55.48/22.62 | % 55.48/22.62 | Equations (587) can reduce 632 to: % 55.48/22.62 | (110) ~ (e4 = e1) % 55.48/22.62 | % 55.48/22.62 | From (587) and (68) follows: % 55.48/22.62 | (4717) op(e4, e0) = all_0_31_31 % 55.48/22.62 | % 55.48/22.62 | From (587) and (74) follows: % 55.48/22.62 | (589) op(e0, e3) = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (125), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (858) all_0_55_55 = e0 % 55.48/22.62 | % 55.48/22.62 | Combining equations (858,587) yields a new equation: % 55.48/22.62 | (397) e4 = e0 % 55.48/22.62 | % 55.48/22.62 | Equations (397) can reduce 49 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (803) ~ (all_0_55_55 = e0) % 55.48/22.62 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (863), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (679) all_0_56_56 = e0 % 55.48/22.62 | % 55.48/22.62 | Equations (679) can reduce 91 to: % 55.48/22.62 | (678) ~ (all_0_47_47 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (679) can reduce 16 to: % 55.48/22.62 | (115) ~ (all_0_51_51 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (679) can reduce 140 to: % 55.48/22.62 | (363) ~ (all_0_57_57 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 363 yields: % 55.48/22.62 | (364) ~ (all_0_57_57 = e0) % 55.48/22.62 | % 55.48/22.62 | Equations (679) can reduce 44 to: % 55.48/22.62 | (490) ~ (all_0_58_58 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 490 yields: % 55.48/22.62 | (491) ~ (all_0_58_58 = e0) % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (189), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (532) all_0_44_44 = e3 % 55.48/22.62 | % 55.48/22.62 | Combining equations (446,532) yields a new equation: % 55.48/22.62 | (424) e4 = e3 % 55.48/22.62 | % 55.48/22.62 | Simplifying 424 yields: % 55.48/22.62 | (425) e4 = e3 % 55.48/22.62 | % 55.48/22.62 | Equations (425) can reduce 188 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (407) ~ (all_0_44_44 = e3) % 55.48/22.62 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (537), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (884) all_0_49_49 = e3 % 55.48/22.62 | % 55.48/22.62 | Equations (884) can reduce 86 to: % 55.48/22.62 | (1091) ~ (all_0_47_47 = e3) % 55.48/22.62 | % 55.48/22.62 | Equations (884) can reduce 487 to: % 55.48/22.62 | (80) ~ (e3 = e0) % 55.48/22.62 | % 55.48/22.62 | From (884) and (129) follows: % 55.48/22.62 | (4740) op(e3, e2) = all_0_20_20 % 55.48/22.62 | % 55.48/22.62 | From (884) and (55) follows: % 55.48/22.62 | (1581) op(e2, e0) = e3 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (105), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (1105) all_0_47_47 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (1105) can reduce 338 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (338) ~ (all_0_47_47 = e2) % 55.48/22.62 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (400), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (943) all_0_48_48 = e4 % 55.48/22.62 | % 55.48/22.62 | Combining equations (943,335) yields a new equation: % 55.48/22.62 | (322) e4 = e2 % 55.48/22.62 | % 55.48/22.62 | Simplifying 322 yields: % 55.48/22.62 | (323) e4 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (323) can reduce 48 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (254) ~ (all_0_48_48 = e4) % 55.48/22.62 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (163), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (565) all_0_52_52 = e4 % 55.48/22.62 | % 55.48/22.62 | From (565) and (124) follows: % 55.48/22.62 | (570) op(e1, e1) = e4 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (385), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (1105) all_0_47_47 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (1105) can reduce 338 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (338) ~ (all_0_47_47 = e2) % 55.48/22.62 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (1108), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (504) all_0_51_51 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (504) can reduce 224 to: % 55.48/22.62 | (338) ~ (all_0_47_47 = e2) % 55.48/22.62 | % 55.48/22.62 | Equations (504) can reduce 6 to: % 55.48/22.62 | (508) ~ (all_0_53_53 = e2) % 55.48/22.62 | % 55.48/22.62 | Simplifying 508 yields: % 55.48/22.62 | (509) ~ (all_0_53_53 = e2) % 55.48/22.62 | % 55.48/22.62 | Equations (504) can reduce 664 to: % 55.48/22.62 | (626) ~ (e3 = e2) % 55.48/22.62 | % 55.48/22.62 | Simplifying 626 yields: % 55.48/22.62 | (212) ~ (e3 = e2) % 55.48/22.62 | % 55.48/22.62 | Equations (504) can reduce 115 to: % 55.48/22.62 | (128) ~ (e2 = e0) % 55.48/22.62 | % 55.48/22.62 | From (504) and (186) follows: % 55.48/22.62 | (515) op(e1, e2) = e2 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (135), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (545) all_0_46_46 = e1 % 55.48/22.62 | % 55.48/22.62 | Equations (545) can reduce 549 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (549) ~ (all_0_46_46 = e1) % 55.48/22.62 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (377), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (583) all_0_49_49 = e2 % 55.48/22.62 | % 55.48/22.62 | Combining equations (884,583) yields a new equation: % 55.48/22.62 | (661) e3 = e2 % 55.48/22.62 | % 55.48/22.62 | Simplifying 661 yields: % 55.48/22.62 | (662) e3 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (662) can reduce 212 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (340) ~ (all_0_49_49 = e2) % 55.48/22.62 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (184), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (538) all_0_46_46 = e0 % 55.48/22.62 | % 55.48/22.62 | Equations (538) can reduce 19 to: % 55.48/22.62 | (1402) ~ (all_0_47_47 = e0) % 55.48/22.62 | % 55.48/22.62 | Simplifying 1402 yields: % 55.48/22.62 | (678) ~ (all_0_47_47 = e0) % 55.48/22.62 | % 55.48/22.62 | From (538) and (33) follows: % 55.48/22.62 | (543) op(e0, e3) = all_0_16_16 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (614), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (607) all_0_53_53 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (607) can reduce 509 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (509) ~ (all_0_53_53 = e2) % 55.48/22.62 | (624) all_0_58_58 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (624) can reduce 10 to: % 55.48/22.62 | (509) ~ (all_0_53_53 = e2) % 55.48/22.62 | % 55.48/22.62 | Equations (624) can reduce 148 to: % 55.48/22.62 | (344) ~ (all_0_57_57 = e2) % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (12), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (442) all_0_57_57 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (442) can reduce 344 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (344) ~ (all_0_57_57 = e2) % 55.48/22.62 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (216), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (629) all_0_55_55 = e1 % 55.48/22.62 | % 55.48/22.62 | Combining equations (587,629) yields a new equation: % 55.48/22.62 | (636) e4 = e1 % 55.48/22.62 | % 55.48/22.62 | Simplifying 636 yields: % 55.48/22.62 | (630) e4 = e1 % 55.48/22.62 | % 55.48/22.62 | Equations (630) can reduce 110 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (632) ~ (all_0_55_55 = e1) % 55.48/22.62 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (196), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (607) all_0_53_53 = e2 % 55.48/22.62 | % 55.48/22.62 | Equations (607) can reduce 509 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.62 | (509) ~ (all_0_53_53 = e2) % 55.48/22.62 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 55.48/22.62 | % 55.48/22.62 +-Applying beta-rule and splitting (160), into two cases. % 55.48/22.62 |-Branch one: % 55.48/22.62 | (601) all_0_50_50 = e1 % 55.48/22.62 | % 55.48/22.62 | Combining equations (415,601) yields a new equation: % 55.48/22.62 | (454) e3 = e1 % 55.48/22.62 | % 55.48/22.62 | Simplifying 454 yields: % 55.48/22.62 | (455) e3 = e1 % 55.48/22.62 | % 55.48/22.62 | Equations (455) can reduce 213 to: % 55.48/22.62 | (266) $false % 55.48/22.62 | % 55.48/22.62 |-The branch is then unsatisfiable % 55.48/22.62 |-Branch two: % 55.48/22.63 | (759) ~ (all_0_50_50 = e1) % 55.48/22.63 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (550), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (654) all_0_47_47 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (654) can reduce 252 to: % 55.48/22.63 | (602) ~ (e4 = e1) % 55.48/22.63 | % 55.48/22.63 | Simplifying 602 yields: % 55.48/22.63 | (110) ~ (e4 = e1) % 55.48/22.63 | % 55.48/22.63 | Equations (654) can reduce 338 to: % 55.48/22.63 | (604) ~ (e2 = e1) % 55.48/22.63 | % 55.48/22.63 | Simplifying 604 yields: % 55.48/22.63 | (122) ~ (e2 = e1) % 55.48/22.63 | % 55.48/22.63 | Equations (654) can reduce 678 to: % 55.48/22.63 | (233) ~ (e1 = e0) % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (633), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (1569) all_0_56_56 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (679,1569) yields a new equation: % 55.48/22.63 | (431) e1 = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (431) can reduce 233 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (466) ~ (all_0_56_56 = e1) % 55.48/22.63 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (1168), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (1109) all_0_51_51 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (1109,504) yields a new equation: % 55.48/22.63 | (617) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (617) can reduce 122 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (464) ~ (all_0_51_51 = e1) % 55.48/22.63 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (1202), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (642) all_0_52_52 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (565,642) yields a new equation: % 55.48/22.63 | (636) e4 = e1 % 55.48/22.63 | % 55.48/22.63 | Simplifying 636 yields: % 55.48/22.63 | (630) e4 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (630) can reduce 110 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (646) ~ (all_0_52_52 = e1) % 55.48/22.63 | (1208) all_0_53_53 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (1208) can reduce 509 to: % 55.48/22.63 | (604) ~ (e2 = e1) % 55.48/22.63 | % 55.48/22.63 | Simplifying 604 yields: % 55.48/22.63 | (122) ~ (e2 = e1) % 55.48/22.63 | % 55.48/22.63 | From (1208) and (92) follows: % 55.48/22.63 | (2152) op(e1, e1) = all_0_27_27 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (1574), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (647) all_0_57_57 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (647) can reduce 344 to: % 55.48/22.63 | (604) ~ (e2 = e1) % 55.48/22.63 | % 55.48/22.63 | Simplifying 604 yields: % 55.48/22.63 | (122) ~ (e2 = e1) % 55.48/22.63 | % 55.48/22.63 | Equations (647) can reduce 364 to: % 55.48/22.63 | (233) ~ (e1 = e0) % 55.48/22.63 | % 55.48/22.63 | From (647) and (45) follows: % 55.48/22.63 | (653) op(e1, e1) = all_0_36_36 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e4, e0, all_0_31_31, e0 and discharging atoms op(e4, e0) = all_0_31_31, op(e4, e0) = e0, yields: % 55.48/22.63 | (4836) all_0_31_31 = e0 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e3, e2, all_0_20_20, e3 and discharging atoms op(e3, e2) = all_0_20_20, op(e3, e2) = e3, yields: % 55.48/22.63 | (4837) all_0_20_20 = e3 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e3, e1, all_0_22_22, e0 and discharging atoms op(e3, e1) = all_0_22_22, op(e3, e1) = e0, yields: % 55.48/22.63 | (1935) all_0_22_22 = e0 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e1, e1, all_0_36_36, all_0_27_27 and discharging atoms op(e1, e1) = all_0_27_27, op(e1, e1) = all_0_36_36, yields: % 55.48/22.63 | (2160) all_0_27_27 = all_0_36_36 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e1, e1, e4, all_0_27_27 and discharging atoms op(e1, e1) = all_0_27_27, op(e1, e1) = e4, yields: % 55.48/22.63 | (2161) all_0_27_27 = e4 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e0, e3, e4, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e4, yields: % 55.48/22.63 | (687) all_0_16_16 = e4 % 55.48/22.63 | % 55.48/22.63 | Combining equations (2160,2161) yields a new equation: % 55.48/22.63 | (689) all_0_36_36 = e4 % 55.48/22.63 | % 55.48/22.63 | Simplifying 689 yields: % 55.48/22.63 | (690) all_0_36_36 = e4 % 55.48/22.63 | % 55.48/22.63 | From (4836) and (4717) follows: % 55.48/22.63 | (3072) op(e4, e0) = e0 % 55.48/22.63 | % 55.48/22.63 | From (4837) and (4740) follows: % 55.48/22.63 | (4285) op(e3, e2) = e3 % 55.48/22.63 | % 55.48/22.63 | From (1935) and (1933) follows: % 55.48/22.63 | (369) op(e3, e1) = e0 % 55.48/22.63 | % 55.48/22.63 | From (690) and (653) follows: % 55.48/22.63 | (570) op(e1, e1) = e4 % 55.48/22.63 | % 55.48/22.63 | From (687) and (543) follows: % 55.48/22.63 | (589) op(e0, e3) = e4 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (56), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (696) unit = e2 % 55.48/22.63 | % 55.48/22.63 | From (696) and (28) follows: % 55.48/22.63 | (699) op(e1, e2) = e1 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.48/22.63 | (617) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (617) can reduce 122 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (707) ~ (unit = e2) % 55.48/22.63 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (708), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (709) unit = e4 % 55.48/22.63 | % 55.48/22.63 | From (709) and (227) follows: % 55.48/22.63 | (710) op(e4, e4) = e4 % 55.48/22.63 | % 55.48/22.63 | From (709) and (40) follows: % 55.48/22.63 | (711) op(e3, e4) = e3 % 55.48/22.63 | % 55.48/22.63 | From (709) and (32) follows: % 55.48/22.63 | (712) op(e2, e4) = e2 % 55.48/22.63 | % 55.48/22.63 | From (709) and (42) follows: % 55.48/22.63 | (713) op(e0, e4) = e0 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.48/22.63 | (630) e4 = e1 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.48/22.63 | (662) e3 = e2 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.48/22.63 | (323) e4 = e2 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.48/22.63 | (676) e3 = e0 % 55.48/22.63 | % 55.48/22.63 | Combining equations (323,630) yields a new equation: % 55.48/22.63 | (616) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Simplifying 616 yields: % 55.48/22.63 | (617) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (662,676) yields a new equation: % 55.48/22.63 | (391) e2 = e0 % 55.48/22.63 | % 55.48/22.63 | Simplifying 391 yields: % 55.48/22.63 | (330) e2 = e0 % 55.48/22.63 | % 55.48/22.63 | Combining equations (330,617) yields a new equation: % 55.48/22.63 | (431) e1 = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (431) can reduce 233 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (724) ~ (unit = e4) % 55.48/22.63 | (725) unit = e3 | unit = e1 | unit = e0 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (725), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (726) unit = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (726) can reduce 707 to: % 55.48/22.63 | (365) ~ (e2 = e0) % 55.48/22.63 | % 55.48/22.63 | Simplifying 365 yields: % 55.48/22.63 | (128) ~ (e2 = e0) % 55.48/22.63 | % 55.48/22.63 | From (726) and (24) follows: % 55.48/22.63 | (2208) op(e0, e3) = e3 % 55.48/22.63 | % 55.48/22.63 | From (726) and (227) follows: % 55.48/22.63 | (3205) op(e4, e0) = e4 % 55.48/22.63 | % 55.48/22.63 | From (726) and (32) follows: % 55.48/22.63 | (727) op(e2, e0) = e2 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 55.48/22.63 | (397) e4 = e0 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 55.48/22.63 | (662) e3 = e2 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 55.48/22.63 | (425) e4 = e3 % 55.48/22.63 | % 55.48/22.63 | Combining equations (397,425) yields a new equation: % 55.48/22.63 | (676) e3 = e0 % 55.48/22.63 | % 55.48/22.63 | Combining equations (676,662) yields a new equation: % 55.48/22.63 | (330) e2 = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (330) can reduce 128 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (734) ~ (unit = e0) % 55.48/22.63 | (735) unit = e3 | unit = e1 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (735), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (736) unit = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (736) can reduce 734 to: % 55.48/22.63 | (233) ~ (e1 = e0) % 55.48/22.63 | % 55.48/22.63 | From (736) and (227) follows: % 55.48/22.63 | (739) op(e4, e1) = e4 % 55.48/22.63 | % 55.48/22.63 | From (736) and (40) follows: % 55.48/22.63 | (1652) op(e3, e1) = e3 % 55.48/22.63 | % 55.48/22.63 | From (736) and (28) follows: % 55.48/22.63 | (740) op(e1, e1) = e1 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 55.48/22.63 | (425) e4 = e3 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 55.48/22.63 | (676) e3 = e0 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 55.48/22.63 | (630) e4 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (425,630) yields a new equation: % 55.48/22.63 | (454) e3 = e1 % 55.48/22.63 | % 55.48/22.63 | Simplifying 454 yields: % 55.48/22.63 | (455) e3 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (455,676) yields a new equation: % 55.48/22.63 | (546) e1 = e0 % 55.48/22.63 | % 55.48/22.63 | Simplifying 546 yields: % 55.48/22.63 | (431) e1 = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (431) can reduce 233 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (748) ~ (unit = e1) % 55.48/22.63 | (749) unit = e3 % 55.48/22.63 | % 55.48/22.63 | From (749) and (244) follows: % 55.48/22.63 | (750) op(e3, e4) = e4 % 55.48/22.63 | % 55.48/22.63 | From (749) and (15) follows: % 55.48/22.63 | (751) op(e3, e2) = e2 % 55.48/22.63 | % 55.48/22.63 | From (749) and (28) follows: % 55.48/22.63 | (2235) op(e1, e3) = e1 % 55.48/22.63 | % 55.48/22.63 | From (749) and (42) follows: % 55.48/22.63 | (752) op(e0, e3) = e0 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 55.48/22.63 | (323) e4 = e2 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 55.48/22.63 | (662) e3 = e2 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 55.48/22.63 | (455) e3 = e1 % 55.48/22.63 | % 55.48/22.63 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 55.48/22.63 | (397) e4 = e0 % 55.48/22.63 | % 55.48/22.63 | Combining equations (397,323) yields a new equation: % 55.48/22.63 | (330) e2 = e0 % 55.48/22.63 | % 55.48/22.63 | Combining equations (662,455) yields a new equation: % 55.48/22.63 | (616) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Simplifying 616 yields: % 55.48/22.63 | (617) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (617,330) yields a new equation: % 55.48/22.63 | (546) e1 = e0 % 55.48/22.63 | % 55.48/22.63 | Simplifying 546 yields: % 55.48/22.63 | (431) e1 = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (431) can reduce 233 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (1670) ~ (all_0_57_57 = e1) % 55.48/22.63 | (918) all_0_58_58 = e1 % 55.48/22.63 | % 55.48/22.63 | Combining equations (918,624) yields a new equation: % 55.48/22.63 | (617) e2 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (617) can reduce 122 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (462) ~ (all_0_47_47 = e1) % 55.48/22.63 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (1789), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (1790) all_0_47_47 = e4 % 55.48/22.63 | % 55.48/22.63 | Equations (1790) can reduce 252 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (252) ~ (all_0_47_47 = e4) % 55.48/22.63 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (1793), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (674) all_0_47_47 = e0 % 55.48/22.63 | % 55.48/22.63 | Equations (674) can reduce 678 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (678) ~ (all_0_47_47 = e0) % 55.48/22.63 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 55.48/22.63 | % 55.48/22.63 +-Applying beta-rule and splitting (1831), into two cases. % 55.48/22.63 |-Branch one: % 55.48/22.63 | (654) all_0_47_47 = e1 % 55.48/22.63 | % 55.48/22.63 | Equations (654) can reduce 462 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.63 |-Branch two: % 55.48/22.63 | (462) ~ (all_0_47_47 = e1) % 55.48/22.63 | (522) all_0_47_47 = e3 % 55.48/22.63 | % 55.48/22.63 | Equations (522) can reduce 1091 to: % 55.48/22.63 | (266) $false % 55.48/22.63 | % 55.48/22.63 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (831) ~ (all_0_46_46 = e0) % 55.48/22.64 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (832), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (674) all_0_47_47 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (674) can reduce 678 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (678) ~ (all_0_47_47 = e0) % 55.48/22.64 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (12), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (442) all_0_57_57 = e2 % 55.48/22.64 | % 55.48/22.64 | Equations (442) can reduce 344 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (344) ~ (all_0_57_57 = e2) % 55.48/22.64 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (389), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (833) all_0_56_56 = e2 % 55.48/22.64 | % 55.48/22.64 | Combining equations (679,833) yields a new equation: % 55.48/22.64 | (330) e2 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (330) can reduce 128 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (511) ~ (all_0_56_56 = e2) % 55.48/22.64 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (1709), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (442) all_0_57_57 = e2 % 55.48/22.64 | % 55.48/22.64 | Equations (442) can reduce 344 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (344) ~ (all_0_57_57 = e2) % 55.48/22.64 | (624) all_0_58_58 = e2 % 55.48/22.64 | % 55.48/22.64 | Equations (624) can reduce 491 to: % 55.48/22.64 | (128) ~ (e2 = e0) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (1278), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (1279) all_0_48_48 = e0 % 55.48/22.64 | % 55.48/22.64 | Combining equations (335,1279) yields a new equation: % 55.48/22.64 | (391) e2 = e0 % 55.48/22.64 | % 55.48/22.64 | Simplifying 391 yields: % 55.48/22.64 | (330) e2 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (330) can reduce 128 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (1283) ~ (all_0_48_48 = e0) % 55.48/22.64 | (978) all_0_49_49 = e0 % 55.48/22.64 | % 55.48/22.64 | Combining equations (978,884) yields a new equation: % 55.48/22.64 | (676) e3 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (676) can reduce 80 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (1099) ~ (all_0_51_51 = e2) % 55.48/22.64 | (833) all_0_56_56 = e2 % 55.48/22.64 | % 55.48/22.64 | Combining equations (833,679) yields a new equation: % 55.48/22.64 | (391) e2 = e0 % 55.48/22.64 | % 55.48/22.64 | Simplifying 391 yields: % 55.48/22.64 | (330) e2 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (330) can reduce 128 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (780) ~ (all_0_52_52 = e4) % 55.48/22.64 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (947), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (565) all_0_52_52 = e4 % 55.48/22.64 | % 55.48/22.64 | Equations (565) can reduce 780 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (780) ~ (all_0_52_52 = e4) % 55.48/22.64 | (871) all_0_57_57 = e4 % 55.48/22.64 | % 55.48/22.64 | Equations (871) can reduce 839 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (525) ~ (all_0_49_49 = e3) % 55.48/22.64 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (887), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (665) all_0_53_53 = e3 % 55.48/22.64 | % 55.48/22.64 | Equations (665) can reduce 903 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (903) ~ (all_0_53_53 = e3) % 55.48/22.64 | (795) all_0_58_58 = e3 % 55.48/22.64 | % 55.48/22.64 | Equations (795) can reduce 276 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (828) ~ (all_0_56_56 = e0) % 55.48/22.64 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (924), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (875) all_0_57_57 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (875) can reduce 364 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (364) ~ (all_0_57_57 = e0) % 55.48/22.64 | (914) all_0_58_58 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (914) can reduce 491 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (411) ~ (all_0_50_50 = e3) % 55.48/22.64 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (241), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (378) all_0_50_50 = e2 % 55.48/22.64 | % 55.48/22.64 | Equations (378) can reduce 302 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (302) ~ (all_0_50_50 = e2) % 55.48/22.64 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (144), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (403) all_0_41_41 = e3 % 55.48/22.64 | % 55.48/22.64 | Combining equations (453,403) yields a new equation: % 55.48/22.64 | (455) e3 = e1 % 55.48/22.64 | % 55.48/22.64 | Equations (455) can reduce 213 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (1898) ~ (all_0_41_41 = e3) % 55.48/22.64 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (1923), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (1557) all_0_46_46 = e3 % 55.48/22.64 | % 55.48/22.64 | Equations (1557) can reduce 19 to: % 55.48/22.64 | (2538) ~ (all_0_47_47 = e3) % 55.48/22.64 | % 55.48/22.64 | Simplifying 2538 yields: % 55.48/22.64 | (1091) ~ (all_0_47_47 = e3) % 55.48/22.64 | % 55.48/22.64 | Equations (1557) can reduce 208 to: % 55.48/22.64 | (524) ~ (all_0_49_49 = e3) % 55.48/22.64 | % 55.48/22.64 | Simplifying 524 yields: % 55.48/22.64 | (525) ~ (all_0_49_49 = e3) % 55.48/22.64 | % 55.48/22.64 | Equations (1557) can reduce 58 to: % 55.48/22.64 | (269) ~ (all_0_55_55 = e3) % 55.48/22.64 | % 55.48/22.64 | Simplifying 269 yields: % 55.48/22.64 | (270) ~ (all_0_55_55 = e3) % 55.48/22.64 | % 55.48/22.64 | Equations (1557) can reduce 250 to: % 55.48/22.64 | (277) ~ (e4 = e3) % 55.48/22.64 | % 55.48/22.64 | Simplifying 277 yields: % 55.48/22.64 | (188) ~ (e4 = e3) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (54), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (583) all_0_49_49 = e2 % 55.48/22.64 | % 55.48/22.64 | Equations (583) can reduce 340 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (340) ~ (all_0_49_49 = e2) % 55.48/22.64 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (586), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (974) all_0_49_49 = e4 % 55.48/22.64 | % 55.48/22.64 | Equations (974) can reduce 256 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (256) ~ (all_0_49_49 = e4) % 55.48/22.64 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (189), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (532) all_0_44_44 = e3 % 55.48/22.64 | % 55.48/22.64 | Combining equations (446,532) yields a new equation: % 55.48/22.64 | (424) e4 = e3 % 55.48/22.64 | % 55.48/22.64 | Simplifying 424 yields: % 55.48/22.64 | (425) e4 = e3 % 55.48/22.64 | % 55.48/22.64 | Equations (425) can reduce 188 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (407) ~ (all_0_44_44 = e3) % 55.48/22.64 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (537), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (884) all_0_49_49 = e3 % 55.48/22.64 | % 55.48/22.64 | Equations (884) can reduce 525 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (525) ~ (all_0_49_49 = e3) % 55.48/22.64 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (887), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (665) all_0_53_53 = e3 % 55.48/22.64 | % 55.48/22.64 | Equations (665) can reduce 65 to: % 55.48/22.64 | (525) ~ (all_0_49_49 = e3) % 55.48/22.64 | % 55.48/22.64 | Equations (665) can reduce 190 to: % 55.48/22.64 | (411) ~ (all_0_50_50 = e3) % 55.48/22.64 | % 55.48/22.64 | Equations (665) can reduce 10 to: % 55.48/22.64 | (275) ~ (all_0_58_58 = e3) % 55.48/22.64 | % 55.48/22.64 | Simplifying 275 yields: % 55.48/22.64 | (276) ~ (all_0_58_58 = e3) % 55.48/22.64 | % 55.48/22.64 | From (665) and (175) follows: % 55.48/22.64 | (5031) op(e3, e0) = all_0_28_28 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (977), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (978) all_0_49_49 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (978) can reduce 487 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (487) ~ (all_0_49_49 = e0) % 55.48/22.64 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (981), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (671) all_0_49_49 = e1 % 55.48/22.64 | % 55.48/22.64 | Equations (671) can reduce 86 to: % 55.48/22.64 | (462) ~ (all_0_47_47 = e1) % 55.48/22.64 | % 55.48/22.64 | From (671) and (129) follows: % 55.48/22.64 | (672) op(e1, e2) = all_0_20_20 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (105), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (1105) all_0_47_47 = e2 % 55.48/22.64 | % 55.48/22.64 | Equations (1105) can reduce 338 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (338) ~ (all_0_47_47 = e2) % 55.48/22.64 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (1789), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (1790) all_0_47_47 = e4 % 55.48/22.64 | % 55.48/22.64 | Equations (1790) can reduce 252 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (252) ~ (all_0_47_47 = e4) % 55.48/22.64 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (1793), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (674) all_0_47_47 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (674) can reduce 1091 to: % 55.48/22.64 | (541) ~ (e3 = e0) % 55.48/22.64 | % 55.48/22.64 | Simplifying 541 yields: % 55.48/22.64 | (80) ~ (e3 = e0) % 55.48/22.64 | % 55.48/22.64 | Equations (674) can reduce 462 to: % 55.48/22.64 | (435) ~ (e1 = e0) % 55.48/22.64 | % 55.48/22.64 | Simplifying 435 yields: % 55.48/22.64 | (233) ~ (e1 = e0) % 55.48/22.64 | % 55.48/22.64 | From (674) and (23) follows: % 55.48/22.64 | (3148) op(e2, e2) = e0 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (422), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (775) all_0_50_50 = e4 % 55.48/22.64 | % 55.48/22.64 | Equations (775) can reduce 101 to: % 55.48/22.64 | (958) ~ (all_0_52_52 = e4) % 55.48/22.64 | % 55.48/22.64 | Simplifying 958 yields: % 55.48/22.64 | (780) ~ (all_0_52_52 = e4) % 55.48/22.64 | % 55.48/22.64 | Equations (775) can reduce 93 to: % 55.48/22.64 | (1909) ~ (all_0_55_55 = e4) % 55.48/22.64 | % 55.48/22.64 | Simplifying 1909 yields: % 55.48/22.64 | (763) ~ (all_0_55_55 = e4) % 55.48/22.64 | % 55.48/22.64 | Equations (775) can reduce 411 to: % 55.48/22.64 | (188) ~ (e4 = e3) % 55.48/22.64 | % 55.48/22.64 | From (775) and (242) follows: % 55.48/22.64 | (5059) op(e1, e3) = e4 % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (163), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (565) all_0_52_52 = e4 % 55.48/22.64 | % 55.48/22.64 | Equations (565) can reduce 780 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (780) ~ (all_0_52_52 = e4) % 55.48/22.64 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (781), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (789), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (790), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (791), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 55.48/22.64 | % 55.48/22.64 +-Applying beta-rule and splitting (792), into two cases. % 55.48/22.64 |-Branch one: % 55.48/22.64 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 55.48/22.64 | % 55.48/22.64 | Applying alpha-rule on (793) yields: % 55.48/22.64 | (794) all_0_41_41 = e0 % 55.48/22.64 | (795) all_0_58_58 = e3 % 55.48/22.64 | (407) ~ (all_0_44_44 = e3) % 55.48/22.64 | % 55.48/22.64 | Combining equations (794,453) yields a new equation: % 55.48/22.64 | (431) e1 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (431) can reduce 233 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 55.48/22.64 | % 55.48/22.64 | Applying alpha-rule on (800) yields: % 55.48/22.64 | (794) all_0_41_41 = e0 % 55.48/22.64 | (795) all_0_58_58 = e3 % 55.48/22.64 | (803) ~ (all_0_55_55 = e0) % 55.48/22.64 | % 55.48/22.64 | Combining equations (794,453) yields a new equation: % 55.48/22.64 | (431) e1 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (431) can reduce 233 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 55.48/22.64 | % 55.48/22.64 | Applying alpha-rule on (807) yields: % 55.48/22.64 | (654) all_0_47_47 = e1 % 55.48/22.64 | (352) all_0_52_52 = e2 % 55.48/22.64 | (810) ~ (all_0_48_48 = e2) % 55.48/22.64 | % 55.48/22.64 | Combining equations (674,654) yields a new equation: % 55.48/22.64 | (431) e1 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (431) can reduce 233 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 55.48/22.64 | % 55.48/22.64 | Applying alpha-rule on (813) yields: % 55.48/22.64 | (654) all_0_47_47 = e1 % 55.48/22.64 | (352) all_0_52_52 = e2 % 55.48/22.64 | (464) ~ (all_0_51_51 = e1) % 55.48/22.64 | % 55.48/22.64 | Combining equations (674,654) yields a new equation: % 55.48/22.64 | (431) e1 = e0 % 55.48/22.64 | % 55.48/22.64 | Equations (431) can reduce 233 to: % 55.48/22.64 | (266) $false % 55.48/22.64 | % 55.48/22.64 |-The branch is then unsatisfiable % 55.48/22.64 |-Branch two: % 55.48/22.64 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 55.48/22.64 | % 55.48/22.64 | Applying alpha-rule on (819) yields: % 55.48/22.64 | (674) all_0_47_47 = e0 % 55.48/22.64 | (624) all_0_58_58 = e2 % 55.48/22.64 | (340) ~ (all_0_49_49 = e2) % 55.48/22.64 | % 55.48/22.64 | Equations (624) can reduce 44 to: % 55.48/22.64 | (511) ~ (all_0_56_56 = e2) % 55.48/22.64 | % 55.48/22.64 | Equations (624) can reduce 451 to: % 55.48/22.64 | (327) ~ (e4 = e2) % 55.48/22.64 | % 55.48/22.64 | Simplifying 327 yields: % 55.48/22.65 | (48) ~ (e4 = e2) % 55.48/22.65 | % 55.48/22.65 | Equations (624) can reduce 276 to: % 55.48/22.65 | (626) ~ (e3 = e2) % 55.48/22.65 | % 55.48/22.65 | Simplifying 626 yields: % 55.48/22.65 | (212) ~ (e3 = e2) % 55.48/22.65 | % 55.48/22.65 | From (624) and (245) follows: % 55.48/22.65 | (628) op(e0, e0) = e2 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (400), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (943) all_0_48_48 = e4 % 55.48/22.65 | % 55.48/22.65 | Combining equations (335,943) yields a new equation: % 55.48/22.65 | (323) e4 = e2 % 55.48/22.65 | % 55.48/22.65 | Equations (323) can reduce 48 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (254) ~ (all_0_48_48 = e4) % 55.48/22.65 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 55.48/22.65 | % 55.48/22.65 | Equations (335) can reduce 254 to: % 55.48/22.65 | (327) ~ (e4 = e2) % 55.48/22.65 | % 55.48/22.65 | Simplifying 327 yields: % 55.48/22.65 | (48) ~ (e4 = e2) % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (171), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (265) all_0_54_54 = e4 % 55.48/22.65 | % 55.48/22.65 | Combining equations (268,265) yields a new equation: % 55.48/22.65 | (425) e4 = e3 % 55.48/22.65 | % 55.48/22.65 | Equations (425) can reduce 188 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (258) ~ (all_0_54_54 = e4) % 55.48/22.65 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (575), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (587) all_0_55_55 = e4 % 55.48/22.65 | % 55.48/22.65 | Equations (587) can reduce 763 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (763) ~ (all_0_55_55 = e4) % 55.48/22.65 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (764), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (842) all_0_56_56 = e4 % 55.48/22.65 | % 55.48/22.65 | Equations (842) can reduce 477 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (477) ~ (all_0_56_56 = e4) % 55.48/22.65 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (935), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (871) all_0_57_57 = e4 % 55.48/22.65 | % 55.48/22.65 | Equations (871) can reduce 11 to: % 55.48/22.65 | (780) ~ (all_0_52_52 = e4) % 55.48/22.65 | % 55.48/22.65 | Equations (871) can reduce 140 to: % 55.48/22.65 | (477) ~ (all_0_56_56 = e4) % 55.48/22.65 | % 55.48/22.65 | From (871) and (83) follows: % 55.48/22.65 | (3109) op(e0, e1) = e4 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (125), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (858) all_0_55_55 = e0 % 55.48/22.65 | % 55.48/22.65 | Equations (858) can reduce 153 to: % 55.48/22.65 | (1181) ~ (all_0_56_56 = e0) % 55.48/22.65 | % 55.48/22.65 | Simplifying 1181 yields: % 55.48/22.65 | (828) ~ (all_0_56_56 = e0) % 55.48/22.65 | % 55.48/22.65 | Equations (858) can reduce 270 to: % 55.48/22.65 | (541) ~ (e3 = e0) % 55.48/22.65 | % 55.48/22.65 | Simplifying 541 yields: % 55.48/22.65 | (80) ~ (e3 = e0) % 55.48/22.65 | % 55.48/22.65 | From (858) and (68) follows: % 55.48/22.65 | (5131) op(e0, e0) = all_0_31_31 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (133), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (833) all_0_56_56 = e2 % 55.48/22.65 | % 55.48/22.65 | Equations (833) can reduce 511 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (511) ~ (all_0_56_56 = e2) % 55.48/22.65 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (836), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (842) all_0_56_56 = e4 % 55.48/22.65 | % 55.48/22.65 | Equations (842) can reduce 477 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (477) ~ (all_0_56_56 = e4) % 55.48/22.65 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (845), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (679) all_0_56_56 = e0 % 55.48/22.65 | % 55.48/22.65 | Equations (679) can reduce 828 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (828) ~ (all_0_56_56 = e0) % 55.48/22.65 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (3172), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (1569) all_0_56_56 = e1 % 55.48/22.65 | % 55.48/22.65 | From (1569) and (87) follows: % 55.48/22.65 | (5145) op(e1, e2) = all_0_34_34 % 55.48/22.65 | % 55.48/22.65 | From (1569) and (111) follows: % 55.48/22.65 | (3175) op(e0, e2) = e1 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (7), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (504) all_0_51_51 = e2 % 55.48/22.65 | % 55.48/22.65 | From (504) and (177) follows: % 55.48/22.65 | (514) op(e2, e2) = all_0_25_25 % 55.48/22.65 | % 55.48/22.65 | From (504) and (186) follows: % 55.48/22.65 | (515) op(e1, e2) = e2 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (355), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (565) all_0_52_52 = e4 % 55.48/22.65 | % 55.48/22.65 | Equations (565) can reduce 780 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (780) ~ (all_0_52_52 = e4) % 55.48/22.65 | (642) all_0_52_52 = e1 % 55.48/22.65 | % 55.48/22.65 | Equations (642) can reduce 72 to: % 55.48/22.65 | (233) ~ (e1 = e0) % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e3, e0, all_0_28_28, e4 and discharging atoms op(e3, e0) = all_0_28_28, op(e3, e0) = e4, yields: % 55.48/22.65 | (5155) all_0_28_28 = e4 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e2, e2, e0, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = e0, yields: % 55.48/22.65 | (5156) all_0_25_25 = e0 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e1, e2, all_0_34_34, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = all_0_34_34, yields: % 55.48/22.65 | (5157) all_0_20_20 = all_0_34_34 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e1, e2, e2, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = e2, yields: % 55.48/22.65 | (684) all_0_20_20 = e2 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e0, e0, e2, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e2, yields: % 55.48/22.65 | (5159) all_0_31_31 = e2 % 55.48/22.65 | % 55.48/22.65 | Combining equations (684,5157) yields a new equation: % 55.48/22.65 | (5160) all_0_34_34 = e2 % 55.48/22.65 | % 55.48/22.65 | From (5155) and (5031) follows: % 55.48/22.65 | (4646) op(e3, e0) = e4 % 55.48/22.65 | % 55.48/22.65 | From (5156) and (514) follows: % 55.48/22.65 | (3148) op(e2, e2) = e0 % 55.48/22.65 | % 55.48/22.65 | From (5160) and (5145) follows: % 55.48/22.65 | (515) op(e1, e2) = e2 % 55.48/22.65 | % 55.48/22.65 | From (5159) and (5131) follows: % 55.48/22.65 | (628) op(e0, e0) = e2 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (56), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (696) unit = e2 % 55.48/22.65 | % 55.48/22.65 | From (696) and (32) follows: % 55.48/22.65 | (698) op(e2, e2) = e2 % 55.48/22.65 | % 55.48/22.65 | From (696) and (28) follows: % 55.48/22.65 | (699) op(e1, e2) = e1 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 55.48/22.65 | (330) e2 = e0 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.48/22.65 | (617) e2 = e1 % 55.48/22.65 | % 55.48/22.65 | Combining equations (330,617) yields a new equation: % 55.48/22.65 | (431) e1 = e0 % 55.48/22.65 | % 55.48/22.65 | Equations (431) can reduce 233 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (707) ~ (unit = e2) % 55.48/22.65 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (708), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (709) unit = e4 % 55.48/22.65 | % 55.48/22.65 | From (709) and (227) follows: % 55.48/22.65 | (710) op(e4, e4) = e4 % 55.48/22.65 | % 55.48/22.65 | From (709) and (40) follows: % 55.48/22.65 | (711) op(e3, e4) = e3 % 55.48/22.65 | % 55.48/22.65 | From (709) and (32) follows: % 55.48/22.65 | (712) op(e2, e4) = e2 % 55.48/22.65 | % 55.48/22.65 | From (709) and (42) follows: % 55.48/22.65 | (713) op(e0, e4) = e0 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.48/22.65 | (630) e4 = e1 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.48/22.65 | (662) e3 = e2 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.48/22.65 | (323) e4 = e2 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.48/22.65 | (676) e3 = e0 % 55.48/22.65 | % 55.48/22.65 | Combining equations (323,630) yields a new equation: % 55.48/22.65 | (616) e2 = e1 % 55.48/22.65 | % 55.48/22.65 | Simplifying 616 yields: % 55.48/22.65 | (617) e2 = e1 % 55.48/22.65 | % 55.48/22.65 | Combining equations (662,676) yields a new equation: % 55.48/22.65 | (391) e2 = e0 % 55.48/22.65 | % 55.48/22.65 | Simplifying 391 yields: % 55.48/22.65 | (330) e2 = e0 % 55.48/22.65 | % 55.48/22.65 | Combining equations (330,617) yields a new equation: % 55.48/22.65 | (431) e1 = e0 % 55.48/22.65 | % 55.48/22.65 | Equations (431) can reduce 233 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (724) ~ (unit = e4) % 55.48/22.65 | (725) unit = e3 | unit = e1 | unit = e0 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (725), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (726) unit = e0 % 55.48/22.65 | % 55.48/22.65 | From (726) and (15) follows: % 55.48/22.65 | (1508) op(e0, e2) = e2 % 55.48/22.65 | % 55.48/22.65 | From (726) and (42) follows: % 55.48/22.65 | (728) op(e0, e0) = e0 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 55.48/22.65 | (617) e2 = e1 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 55.48/22.65 | (330) e2 = e0 % 55.48/22.65 | % 55.48/22.65 | Combining equations (330,617) yields a new equation: % 55.48/22.65 | (431) e1 = e0 % 55.48/22.65 | % 55.48/22.65 | Equations (431) can reduce 233 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (734) ~ (unit = e0) % 55.48/22.65 | (735) unit = e3 | unit = e1 % 55.48/22.65 | % 55.48/22.65 +-Applying beta-rule and splitting (735), into two cases. % 55.48/22.65 |-Branch one: % 55.48/22.65 | (736) unit = e1 % 55.48/22.65 | % 55.48/22.65 | From (736) and (24) follows: % 55.48/22.65 | (1934) op(e1, e3) = e3 % 55.48/22.65 | % 55.48/22.65 | From (736) and (42) follows: % 55.48/22.65 | (3221) op(e0, e1) = e0 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 55.48/22.65 | (425) e4 = e3 % 55.48/22.65 | % 55.48/22.65 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 55.48/22.65 | (397) e4 = e0 % 55.48/22.65 | % 55.48/22.65 | Combining equations (425,397) yields a new equation: % 55.48/22.65 | (675) e3 = e0 % 55.48/22.65 | % 55.48/22.65 | Simplifying 675 yields: % 55.48/22.65 | (676) e3 = e0 % 55.48/22.65 | % 55.48/22.65 | Equations (676) can reduce 80 to: % 55.48/22.65 | (266) $false % 55.48/22.65 | % 55.48/22.65 |-The branch is then unsatisfiable % 55.48/22.65 |-Branch two: % 55.48/22.65 | (748) ~ (unit = e1) % 55.48/22.65 | (749) unit = e3 % 55.48/22.65 | % 55.48/22.65 | From (749) and (209) follows: % 55.48/22.65 | (1667) op(e3, e0) = e0 % 55.48/22.65 | % 55.48/22.65 | From (749) and (28) follows: % 55.48/22.65 | (2235) op(e1, e3) = e1 % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 55.48/22.66 | (397) e4 = e0 % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 55.48/22.66 | (630) e4 = e1 % 55.48/22.66 | % 55.48/22.66 | Combining equations (397,630) yields a new equation: % 55.48/22.66 | (431) e1 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (431) can reduce 233 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (1099) ~ (all_0_51_51 = e2) % 55.48/22.66 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (355), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (565) all_0_52_52 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (565) can reduce 780 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (780) ~ (all_0_52_52 = e4) % 55.48/22.66 | (642) all_0_52_52 = e1 % 55.48/22.66 | % 55.48/22.66 | Equations (642) can reduce 342 to: % 55.48/22.66 | (604) ~ (e2 = e1) % 55.48/22.66 | % 55.48/22.66 | Simplifying 604 yields: % 55.48/22.66 | (122) ~ (e2 = e1) % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (381), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (504) all_0_51_51 = e2 % 55.48/22.66 | % 55.48/22.66 | Equations (504) can reduce 1099 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (1099) ~ (all_0_51_51 = e2) % 55.48/22.66 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (1152), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (352) all_0_52_52 = e2 % 55.48/22.66 | % 55.48/22.66 | Combining equations (642,352) yields a new equation: % 55.48/22.66 | (617) e2 = e1 % 55.48/22.66 | % 55.48/22.66 | Equations (617) can reduce 122 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (342) ~ (all_0_52_52 = e2) % 55.48/22.66 | (607) all_0_53_53 = e2 % 55.48/22.66 | % 55.48/22.66 | Combining equations (607,665) yields a new equation: % 55.48/22.66 | (662) e3 = e2 % 55.48/22.66 | % 55.48/22.66 | Equations (662) can reduce 212 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (466) ~ (all_0_56_56 = e1) % 55.48/22.66 | (1097) all_0_56_56 = e3 % 55.48/22.66 | % 55.48/22.66 | Equations (1097) can reduce 272 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (803) ~ (all_0_55_55 = e0) % 55.48/22.66 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (130), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (430) all_0_43_43 = e1 % 55.48/22.66 | % 55.48/22.66 | Combining equations (356,430) yields a new equation: % 55.48/22.66 | (431) e1 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (431) can reduce 233 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (433) ~ (all_0_43_43 = e1) % 55.48/22.66 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 55.48/22.66 | % 55.48/22.66 | Equations (356) can reduce 433 to: % 55.48/22.66 | (435) ~ (e1 = e0) % 55.48/22.66 | % 55.48/22.66 | Simplifying 435 yields: % 55.48/22.66 | (233) ~ (e1 = e0) % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (395), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (794) all_0_41_41 = e0 % 55.48/22.66 | % 55.48/22.66 | Combining equations (453,794) yields a new equation: % 55.48/22.66 | (546) e1 = e0 % 55.48/22.66 | % 55.48/22.66 | Simplifying 546 yields: % 55.48/22.66 | (431) e1 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (431) can reduce 233 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (357) ~ (all_0_41_41 = e0) % 55.48/22.66 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (895), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (538) all_0_46_46 = e0 % 55.48/22.66 | % 55.48/22.66 | Combining equations (1557,538) yields a new equation: % 55.48/22.66 | (675) e3 = e0 % 55.48/22.66 | % 55.48/22.66 | Simplifying 675 yields: % 55.48/22.66 | (676) e3 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (676) can reduce 80 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (831) ~ (all_0_46_46 = e0) % 55.48/22.66 | (858) all_0_55_55 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (858) can reduce 803 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (839) ~ (all_0_57_57 = e4) % 55.48/22.66 | (910) all_0_58_58 = e4 % 55.48/22.66 | % 55.48/22.66 | Combining equations (624,910) yields a new equation: % 55.48/22.66 | (323) e4 = e2 % 55.48/22.66 | % 55.48/22.66 | Equations (323) can reduce 48 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 55.48/22.66 | % 55.48/22.66 | Applying alpha-rule on (825) yields: % 55.48/22.66 | (674) all_0_47_47 = e0 % 55.48/22.66 | (624) all_0_58_58 = e2 % 55.48/22.66 | (828) ~ (all_0_56_56 = e0) % 55.48/22.66 | % 55.48/22.66 | Equations (624) can reduce 44 to: % 55.48/22.66 | (511) ~ (all_0_56_56 = e2) % 55.48/22.66 | % 55.48/22.66 | Equations (624) can reduce 451 to: % 55.48/22.66 | (327) ~ (e4 = e2) % 55.48/22.66 | % 55.48/22.66 | Simplifying 327 yields: % 55.48/22.66 | (48) ~ (e4 = e2) % 55.48/22.66 | % 55.48/22.66 | Equations (624) can reduce 276 to: % 55.48/22.66 | (626) ~ (e3 = e2) % 55.48/22.66 | % 55.48/22.66 | Simplifying 626 yields: % 55.48/22.66 | (212) ~ (e3 = e2) % 55.48/22.66 | % 55.48/22.66 | From (624) and (245) follows: % 55.48/22.66 | (628) op(e0, e0) = e2 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (400), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (943) all_0_48_48 = e4 % 55.48/22.66 | % 55.48/22.66 | Combining equations (335,943) yields a new equation: % 55.48/22.66 | (323) e4 = e2 % 55.48/22.66 | % 55.48/22.66 | Equations (323) can reduce 48 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (254) ~ (all_0_48_48 = e4) % 55.48/22.66 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (335) can reduce 254 to: % 55.48/22.66 | (327) ~ (e4 = e2) % 55.48/22.66 | % 55.48/22.66 | Simplifying 327 yields: % 55.48/22.66 | (48) ~ (e4 = e2) % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (171), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (265) all_0_54_54 = e4 % 55.48/22.66 | % 55.48/22.66 | Combining equations (268,265) yields a new equation: % 55.48/22.66 | (425) e4 = e3 % 55.48/22.66 | % 55.48/22.66 | Equations (425) can reduce 188 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (258) ~ (all_0_54_54 = e4) % 55.48/22.66 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (575), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (587) all_0_55_55 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (587) can reduce 763 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (763) ~ (all_0_55_55 = e4) % 55.48/22.66 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (764), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (842) all_0_56_56 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (842) can reduce 477 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (477) ~ (all_0_56_56 = e4) % 55.48/22.66 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (935), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (871) all_0_57_57 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (871) can reduce 11 to: % 55.48/22.66 | (780) ~ (all_0_52_52 = e4) % 55.48/22.66 | % 55.48/22.66 | Equations (871) can reduce 140 to: % 55.48/22.66 | (477) ~ (all_0_56_56 = e4) % 55.48/22.66 | % 55.48/22.66 | From (871) and (83) follows: % 55.48/22.66 | (3109) op(e0, e1) = e4 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (125), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (858) all_0_55_55 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (858) can reduce 153 to: % 55.48/22.66 | (1181) ~ (all_0_56_56 = e0) % 55.48/22.66 | % 55.48/22.66 | Simplifying 1181 yields: % 55.48/22.66 | (828) ~ (all_0_56_56 = e0) % 55.48/22.66 | % 55.48/22.66 | Equations (858) can reduce 270 to: % 55.48/22.66 | (541) ~ (e3 = e0) % 55.48/22.66 | % 55.48/22.66 | Simplifying 541 yields: % 55.48/22.66 | (80) ~ (e3 = e0) % 55.48/22.66 | % 55.48/22.66 | From (858) and (68) follows: % 55.48/22.66 | (5131) op(e0, e0) = all_0_31_31 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (133), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (833) all_0_56_56 = e2 % 55.48/22.66 | % 55.48/22.66 | Equations (833) can reduce 511 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (511) ~ (all_0_56_56 = e2) % 55.48/22.66 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (836), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (842) all_0_56_56 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (842) can reduce 477 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (477) ~ (all_0_56_56 = e4) % 55.48/22.66 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (845), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (679) all_0_56_56 = e0 % 55.48/22.66 | % 55.48/22.66 | Equations (679) can reduce 828 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (828) ~ (all_0_56_56 = e0) % 55.48/22.66 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (3172), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (1569) all_0_56_56 = e1 % 55.48/22.66 | % 55.48/22.66 | From (1569) and (87) follows: % 55.48/22.66 | (5145) op(e1, e2) = all_0_34_34 % 55.48/22.66 | % 55.48/22.66 | From (1569) and (111) follows: % 55.48/22.66 | (3175) op(e0, e2) = e1 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (7), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (504) all_0_51_51 = e2 % 55.48/22.66 | % 55.48/22.66 | From (504) and (177) follows: % 55.48/22.66 | (514) op(e2, e2) = all_0_25_25 % 55.48/22.66 | % 55.48/22.66 | From (504) and (186) follows: % 55.48/22.66 | (515) op(e1, e2) = e2 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (355), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (565) all_0_52_52 = e4 % 55.48/22.66 | % 55.48/22.66 | Equations (565) can reduce 780 to: % 55.48/22.66 | (266) $false % 55.48/22.66 | % 55.48/22.66 |-The branch is then unsatisfiable % 55.48/22.66 |-Branch two: % 55.48/22.66 | (780) ~ (all_0_52_52 = e4) % 55.48/22.66 | (642) all_0_52_52 = e1 % 55.48/22.66 | % 55.48/22.66 | Equations (642) can reduce 72 to: % 55.48/22.66 | (233) ~ (e1 = e0) % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e3, e0, all_0_28_28, e4 and discharging atoms op(e3, e0) = all_0_28_28, op(e3, e0) = e4, yields: % 55.48/22.66 | (5155) all_0_28_28 = e4 % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e2, e2, e0, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = e0, yields: % 55.48/22.66 | (5156) all_0_25_25 = e0 % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e1, e2, all_0_34_34, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = all_0_34_34, yields: % 55.48/22.66 | (5157) all_0_20_20 = all_0_34_34 % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e1, e2, e2, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = e2, yields: % 55.48/22.66 | (684) all_0_20_20 = e2 % 55.48/22.66 | % 55.48/22.66 | Instantiating formula (29) with e0, e0, e2, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e2, yields: % 55.48/22.66 | (5159) all_0_31_31 = e2 % 55.48/22.66 | % 55.48/22.66 | Combining equations (684,5157) yields a new equation: % 55.48/22.66 | (5160) all_0_34_34 = e2 % 55.48/22.66 | % 55.48/22.66 | From (5155) and (5031) follows: % 55.48/22.66 | (4646) op(e3, e0) = e4 % 55.48/22.66 | % 55.48/22.66 | From (5156) and (514) follows: % 55.48/22.66 | (3148) op(e2, e2) = e0 % 55.48/22.66 | % 55.48/22.66 | From (5160) and (5145) follows: % 55.48/22.66 | (515) op(e1, e2) = e2 % 55.48/22.66 | % 55.48/22.66 | From (5159) and (5131) follows: % 55.48/22.66 | (628) op(e0, e0) = e2 % 55.48/22.66 | % 55.48/22.66 +-Applying beta-rule and splitting (56), into two cases. % 55.48/22.66 |-Branch one: % 55.48/22.66 | (696) unit = e2 % 55.48/22.66 | % 55.48/22.66 | From (696) and (32) follows: % 55.48/22.66 | (698) op(e2, e2) = e2 % 55.48/22.66 | % 55.48/22.66 | From (696) and (28) follows: % 55.48/22.66 | (699) op(e1, e2) = e1 % 55.48/22.66 | % 55.48/22.67 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 55.48/22.67 | (330) e2 = e0 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.48/22.67 | (617) e2 = e1 % 55.48/22.67 | % 55.48/22.67 | Combining equations (330,617) yields a new equation: % 55.48/22.67 | (431) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (431) can reduce 233 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (707) ~ (unit = e2) % 55.48/22.67 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (708), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (709) unit = e4 % 55.48/22.67 | % 55.48/22.67 | From (709) and (227) follows: % 55.48/22.67 | (710) op(e4, e4) = e4 % 55.48/22.67 | % 55.48/22.67 | From (709) and (40) follows: % 55.48/22.67 | (711) op(e3, e4) = e3 % 55.48/22.67 | % 55.48/22.67 | From (709) and (32) follows: % 55.48/22.67 | (712) op(e2, e4) = e2 % 55.48/22.67 | % 55.48/22.67 | From (709) and (42) follows: % 55.48/22.67 | (713) op(e0, e4) = e0 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.48/22.67 | (630) e4 = e1 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.48/22.67 | (662) e3 = e2 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.48/22.67 | (323) e4 = e2 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.48/22.67 | (676) e3 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (323,630) yields a new equation: % 55.48/22.67 | (616) e2 = e1 % 55.48/22.67 | % 55.48/22.67 | Simplifying 616 yields: % 55.48/22.67 | (617) e2 = e1 % 55.48/22.67 | % 55.48/22.67 | Combining equations (662,676) yields a new equation: % 55.48/22.67 | (391) e2 = e0 % 55.48/22.67 | % 55.48/22.67 | Simplifying 391 yields: % 55.48/22.67 | (330) e2 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (330,617) yields a new equation: % 55.48/22.67 | (431) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (431) can reduce 233 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (724) ~ (unit = e4) % 55.48/22.67 | (725) unit = e3 | unit = e1 | unit = e0 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (725), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (726) unit = e0 % 55.48/22.67 | % 55.48/22.67 | From (726) and (15) follows: % 55.48/22.67 | (1508) op(e0, e2) = e2 % 55.48/22.67 | % 55.48/22.67 | From (726) and (42) follows: % 55.48/22.67 | (728) op(e0, e0) = e0 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 55.48/22.67 | (617) e2 = e1 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 55.48/22.67 | (330) e2 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (330,617) yields a new equation: % 55.48/22.67 | (431) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (431) can reduce 233 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (734) ~ (unit = e0) % 55.48/22.67 | (735) unit = e3 | unit = e1 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (735), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (736) unit = e1 % 55.48/22.67 | % 55.48/22.67 | From (736) and (24) follows: % 55.48/22.67 | (1934) op(e1, e3) = e3 % 55.48/22.67 | % 55.48/22.67 | From (736) and (42) follows: % 55.48/22.67 | (3221) op(e0, e1) = e0 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 55.48/22.67 | (425) e4 = e3 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 55.48/22.67 | (397) e4 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (425,397) yields a new equation: % 55.48/22.67 | (675) e3 = e0 % 55.48/22.67 | % 55.48/22.67 | Simplifying 675 yields: % 55.48/22.67 | (676) e3 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (676) can reduce 80 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (748) ~ (unit = e1) % 55.48/22.67 | (749) unit = e3 % 55.48/22.67 | % 55.48/22.67 | From (749) and (209) follows: % 55.48/22.67 | (1667) op(e3, e0) = e0 % 55.48/22.67 | % 55.48/22.67 | From (749) and (28) follows: % 55.48/22.67 | (2235) op(e1, e3) = e1 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 55.48/22.67 | (397) e4 = e0 % 55.48/22.67 | % 55.48/22.67 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 55.48/22.67 | (630) e4 = e1 % 55.48/22.67 | % 55.48/22.67 | Combining equations (397,630) yields a new equation: % 55.48/22.67 | (431) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (431) can reduce 233 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (1099) ~ (all_0_51_51 = e2) % 55.48/22.67 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (355), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (565) all_0_52_52 = e4 % 55.48/22.67 | % 55.48/22.67 | Equations (565) can reduce 780 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (780) ~ (all_0_52_52 = e4) % 55.48/22.67 | (642) all_0_52_52 = e1 % 55.48/22.67 | % 55.48/22.67 | Equations (642) can reduce 342 to: % 55.48/22.67 | (604) ~ (e2 = e1) % 55.48/22.67 | % 55.48/22.67 | Simplifying 604 yields: % 55.48/22.67 | (122) ~ (e2 = e1) % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (381), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (504) all_0_51_51 = e2 % 55.48/22.67 | % 55.48/22.67 | Equations (504) can reduce 1099 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (1099) ~ (all_0_51_51 = e2) % 55.48/22.67 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (1152), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (352) all_0_52_52 = e2 % 55.48/22.67 | % 55.48/22.67 | Combining equations (642,352) yields a new equation: % 55.48/22.67 | (617) e2 = e1 % 55.48/22.67 | % 55.48/22.67 | Equations (617) can reduce 122 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (342) ~ (all_0_52_52 = e2) % 55.48/22.67 | (607) all_0_53_53 = e2 % 55.48/22.67 | % 55.48/22.67 | Combining equations (607,665) yields a new equation: % 55.48/22.67 | (662) e3 = e2 % 55.48/22.67 | % 55.48/22.67 | Equations (662) can reduce 212 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (466) ~ (all_0_56_56 = e1) % 55.48/22.67 | (1097) all_0_56_56 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (1097) can reduce 272 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (803) ~ (all_0_55_55 = e0) % 55.48/22.67 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (130), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (430) all_0_43_43 = e1 % 55.48/22.67 | % 55.48/22.67 | Combining equations (356,430) yields a new equation: % 55.48/22.67 | (431) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (431) can reduce 233 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (433) ~ (all_0_43_43 = e1) % 55.48/22.67 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 55.48/22.67 | % 55.48/22.67 | Equations (356) can reduce 433 to: % 55.48/22.67 | (435) ~ (e1 = e0) % 55.48/22.67 | % 55.48/22.67 | Simplifying 435 yields: % 55.48/22.67 | (233) ~ (e1 = e0) % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (395), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (794) all_0_41_41 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (453,794) yields a new equation: % 55.48/22.67 | (546) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Simplifying 546 yields: % 55.48/22.67 | (431) e1 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (431) can reduce 233 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (357) ~ (all_0_41_41 = e0) % 55.48/22.67 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (895), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (538) all_0_46_46 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (1557,538) yields a new equation: % 55.48/22.67 | (675) e3 = e0 % 55.48/22.67 | % 55.48/22.67 | Simplifying 675 yields: % 55.48/22.67 | (676) e3 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (676) can reduce 80 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (831) ~ (all_0_46_46 = e0) % 55.48/22.67 | (858) all_0_55_55 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (858) can reduce 803 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (839) ~ (all_0_57_57 = e4) % 55.48/22.67 | (910) all_0_58_58 = e4 % 55.48/22.67 | % 55.48/22.67 | Combining equations (624,910) yields a new equation: % 55.48/22.67 | (323) e4 = e2 % 55.48/22.67 | % 55.48/22.67 | Equations (323) can reduce 48 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (566) ~ (all_0_50_50 = e4) % 55.48/22.67 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (1444), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (601) all_0_50_50 = e1 % 55.48/22.67 | % 55.48/22.67 | Equations (601) can reduce 759 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (759) ~ (all_0_50_50 = e1) % 55.48/22.67 | (415) all_0_50_50 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (415) can reduce 411 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (678) ~ (all_0_47_47 = e0) % 55.48/22.67 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (1831), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (654) all_0_47_47 = e1 % 55.48/22.67 | % 55.48/22.67 | Equations (654) can reduce 462 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (462) ~ (all_0_47_47 = e1) % 55.48/22.67 | (522) all_0_47_47 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (522) can reduce 1091 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (1064) ~ (all_0_49_49 = e1) % 55.48/22.67 | (884) all_0_49_49 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (884) can reduce 525 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (903) ~ (all_0_53_53 = e3) % 55.48/22.67 | (795) all_0_58_58 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (795) can reduce 276 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (409) ~ (all_0_46_46 = e3) % 55.48/22.67 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (4042), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (415) all_0_50_50 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (415) can reduce 411 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (411) ~ (all_0_50_50 = e3) % 55.48/22.67 | (2336) all_0_55_55 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (2336) can reduce 270 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (1377) ~ (all_0_39_39 = e4) % 55.48/22.67 | (1378) all_0_40_40 = e4 % 55.48/22.67 | % 55.48/22.67 | Combining equations (485,1378) yields a new equation: % 55.48/22.67 | (397) e4 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (397) can reduce 49 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (457) ~ (all_0_41_41 = e1) % 55.48/22.67 | (403) all_0_41_41 = e3 % 55.48/22.67 | % 55.48/22.67 | Equations (403) can reduce 1898 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (5470) ~ (all_0_43_43 = e0) % 55.48/22.67 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 55.48/22.67 | % 55.48/22.67 +-Applying beta-rule and splitting (5471), into two cases. % 55.48/22.67 |-Branch one: % 55.48/22.67 | (1279) all_0_48_48 = e0 % 55.48/22.67 | % 55.48/22.67 | Combining equations (1279,335) yields a new equation: % 55.48/22.67 | (330) e2 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (330) can reduce 128 to: % 55.48/22.67 | (266) $false % 55.48/22.67 | % 55.48/22.67 |-The branch is then unsatisfiable % 55.48/22.67 |-Branch two: % 55.48/22.67 | (1283) ~ (all_0_48_48 = e0) % 55.48/22.67 | (875) all_0_57_57 = e0 % 55.48/22.67 | % 55.48/22.67 | Equations (875) can reduce 199 to: % 55.48/22.67 | (5470) ~ (all_0_43_43 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (875) can reduce 11 to: % 55.48/22.68 | (72) ~ (all_0_52_52 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (875) can reduce 81 to: % 55.48/22.68 | (803) ~ (all_0_55_55 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (875) can reduce 140 to: % 55.48/22.68 | (828) ~ (all_0_56_56 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (875) can reduce 148 to: % 55.48/22.68 | (490) ~ (all_0_58_58 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 490 yields: % 55.48/22.68 | (491) ~ (all_0_58_58 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (875) can reduce 344 to: % 55.48/22.68 | (365) ~ (e2 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 365 yields: % 55.48/22.68 | (128) ~ (e2 = e0) % 55.48/22.68 | % 55.48/22.68 | From (875) and (146) follows: % 55.48/22.68 | (5485) op(e0, e0) = all_0_35_35 % 55.48/22.68 | % 55.48/22.68 | Instantiating formula (29) with e0, e0, all_0_35_35, all_0_58_58 and discharging atoms op(e0, e0) = all_0_35_35, op(e0, e0) = all_0_58_58, yields: % 55.48/22.68 | (5486) all_0_35_35 = all_0_58_58 % 55.48/22.68 | % 55.48/22.68 | From (5486) and (5485) follows: % 55.48/22.68 | (245) op(e0, e0) = all_0_58_58 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (195), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (396) all_0_43_43 = e4 % 55.48/22.68 | % 55.48/22.68 | Equations (396) can reduce 31 to: % 55.48/22.68 | (440) ~ (all_0_41_41 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (396) can reduce 217 to: % 55.48/22.68 | (958) ~ (all_0_52_52 = e4) % 55.48/22.68 | % 55.48/22.68 | Simplifying 958 yields: % 55.48/22.68 | (780) ~ (all_0_52_52 = e4) % 55.48/22.68 | % 55.48/22.68 | From (396) and (37) follows: % 55.48/22.68 | (5492) op(e3, e1) = e4 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (163), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (565) all_0_52_52 = e4 % 55.48/22.68 | % 55.48/22.68 | Equations (565) can reduce 780 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (780) ~ (all_0_52_52 = e4) % 55.48/22.68 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (781), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (789), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (790), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (791), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (792), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 55.48/22.68 | % 55.48/22.68 | Applying alpha-rule on (793) yields: % 55.48/22.68 | (794) all_0_41_41 = e0 % 55.48/22.68 | (795) all_0_58_58 = e3 % 55.48/22.68 | (407) ~ (all_0_44_44 = e3) % 55.48/22.68 | % 55.48/22.68 | Equations (795) can reduce 276 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 55.48/22.68 | % 55.48/22.68 | Applying alpha-rule on (800) yields: % 55.48/22.68 | (794) all_0_41_41 = e0 % 55.48/22.68 | (795) all_0_58_58 = e3 % 55.48/22.68 | (803) ~ (all_0_55_55 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (795) can reduce 276 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 55.48/22.68 | % 55.48/22.68 | Applying alpha-rule on (807) yields: % 55.48/22.68 | (654) all_0_47_47 = e1 % 55.48/22.68 | (352) all_0_52_52 = e2 % 55.48/22.68 | (810) ~ (all_0_48_48 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (352) can reduce 342 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 55.48/22.68 | % 55.48/22.68 | Applying alpha-rule on (813) yields: % 55.48/22.68 | (654) all_0_47_47 = e1 % 55.48/22.68 | (352) all_0_52_52 = e2 % 55.48/22.68 | (464) ~ (all_0_51_51 = e1) % 55.48/22.68 | % 55.48/22.68 | Equations (352) can reduce 342 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 55.48/22.68 | % 55.48/22.68 | Applying alpha-rule on (819) yields: % 55.48/22.68 | (674) all_0_47_47 = e0 % 55.48/22.68 | (624) all_0_58_58 = e2 % 55.48/22.68 | (340) ~ (all_0_49_49 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (674) can reduce 79 to: % 55.48/22.68 | (484) ~ (all_0_39_39 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (624) can reduce 181 to: % 55.48/22.68 | (147) ~ (all_0_44_44 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (674) can reduce 19 to: % 55.48/22.68 | (831) ~ (all_0_46_46 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (674) can reduce 91 to: % 55.48/22.68 | (1181) ~ (all_0_56_56 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 1181 yields: % 55.48/22.68 | (828) ~ (all_0_56_56 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (624) can reduce 119 to: % 55.48/22.68 | (340) ~ (all_0_49_49 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (624) can reduce 3 to: % 55.48/22.68 | (304) ~ (all_0_55_55 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (624) can reduce 44 to: % 55.48/22.68 | (511) ~ (all_0_56_56 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (624) can reduce 491 to: % 55.48/22.68 | (128) ~ (e2 = e0) % 55.48/22.68 | % 55.48/22.68 | From (674) and (23) follows: % 55.48/22.68 | (3148) op(e2, e2) = e0 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (355), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (565) all_0_52_52 = e4 % 55.48/22.68 | % 55.48/22.68 | Equations (565) can reduce 780 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (780) ~ (all_0_52_52 = e4) % 55.48/22.68 | (642) all_0_52_52 = e1 % 55.48/22.68 | % 55.48/22.68 | Equations (642) can reduce 342 to: % 55.48/22.68 | (604) ~ (e2 = e1) % 55.48/22.68 | % 55.48/22.68 | Simplifying 604 yields: % 55.48/22.68 | (122) ~ (e2 = e1) % 55.48/22.68 | % 55.48/22.68 | Equations (642) can reduce 72 to: % 55.48/22.68 | (233) ~ (e1 = e0) % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (320), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (471) all_0_39_39 = e4 % 55.48/22.68 | % 55.48/22.68 | Equations (471) can reduce 145 to: % 55.48/22.68 | (1901) ~ (all_0_42_42 = e4) % 55.48/22.68 | % 55.48/22.68 | Simplifying 1901 yields: % 55.48/22.68 | (1890) ~ (all_0_42_42 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (471) can reduce 139 to: % 55.48/22.68 | (474) ~ (all_0_51_51 = e4) % 55.48/22.68 | % 55.48/22.68 | Simplifying 474 yields: % 55.48/22.68 | (475) ~ (all_0_51_51 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (471) can reduce 154 to: % 55.48/22.68 | (476) ~ (all_0_56_56 = e4) % 55.48/22.68 | % 55.48/22.68 | Simplifying 476 yields: % 55.48/22.68 | (477) ~ (all_0_56_56 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (471) can reduce 246 to: % 55.48/22.68 | (188) ~ (e4 = e3) % 55.48/22.68 | % 55.48/22.68 | Equations (471) can reduce 294 to: % 55.48/22.68 | (48) ~ (e4 = e2) % 55.48/22.68 | % 55.48/22.68 | Equations (471) can reduce 151 to: % 55.48/22.68 | (110) ~ (e4 = e1) % 55.48/22.68 | % 55.48/22.68 | From (471) and (182) follows: % 55.48/22.68 | (479) op(e4, e4) = all_0_2_2 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (243), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (329) all_0_38_38 = e0 % 55.48/22.68 | % 55.48/22.68 | Combining equations (292,329) yields a new equation: % 55.48/22.68 | (391) e2 = e0 % 55.48/22.68 | % 55.48/22.68 | Simplifying 391 yields: % 55.48/22.68 | (330) e2 = e0 % 55.48/22.68 | % 55.48/22.68 | Equations (330) can reduce 128 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (332) ~ (all_0_38_38 = e0) % 55.48/22.68 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (171), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (265) all_0_54_54 = e4 % 55.48/22.68 | % 55.48/22.68 | Combining equations (268,265) yields a new equation: % 55.48/22.68 | (425) e4 = e3 % 55.48/22.68 | % 55.48/22.68 | Equations (425) can reduce 188 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (258) ~ (all_0_54_54 = e4) % 55.48/22.68 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (395), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (794) all_0_41_41 = e0 % 55.48/22.68 | % 55.48/22.68 | Equations (794) can reduce 214 to: % 55.48/22.68 | (5565) ~ (all_0_42_42 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 5565 yields: % 55.48/22.68 | (358) ~ (all_0_42_42 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (794) can reduce 43 to: % 55.48/22.68 | (5567) ~ (all_0_46_46 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 5567 yields: % 55.48/22.68 | (831) ~ (all_0_46_46 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (794) can reduce 440 to: % 55.48/22.68 | (401) ~ (e4 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 401 yields: % 55.48/22.68 | (49) ~ (e4 = e0) % 55.48/22.68 | % 55.48/22.68 | Equations (794) can reduce 85 to: % 55.48/22.68 | (365) ~ (e2 = e0) % 55.48/22.68 | % 55.48/22.68 | Simplifying 365 yields: % 55.48/22.68 | (128) ~ (e2 = e0) % 55.48/22.68 | % 55.48/22.68 | From (794) and (219) follows: % 55.48/22.68 | (5573) op(e3, e3) = e0 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (575), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (587) all_0_55_55 = e4 % 55.48/22.68 | % 55.48/22.68 | Equations (587) can reduce 58 to: % 55.48/22.68 | (250) ~ (all_0_46_46 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (587) can reduce 93 to: % 55.48/22.68 | (566) ~ (all_0_50_50 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (587) can reduce 153 to: % 55.48/22.68 | (476) ~ (all_0_56_56 = e4) % 55.48/22.68 | % 55.48/22.68 | Simplifying 476 yields: % 55.48/22.68 | (477) ~ (all_0_56_56 = e4) % 55.48/22.68 | % 55.48/22.68 | Equations (587) can reduce 304 to: % 55.48/22.68 | (48) ~ (e4 = e2) % 55.48/22.68 | % 55.48/22.68 | From (587) and (68) follows: % 55.48/22.68 | (4717) op(e4, e0) = all_0_31_31 % 55.48/22.68 | % 55.48/22.68 | From (587) and (74) follows: % 55.48/22.68 | (589) op(e0, e3) = e4 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (216), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (629) all_0_55_55 = e1 % 55.48/22.68 | % 55.48/22.68 | Combining equations (629,587) yields a new equation: % 55.48/22.68 | (630) e4 = e1 % 55.48/22.68 | % 55.48/22.68 | Equations (630) can reduce 110 to: % 55.48/22.68 | (266) $false % 55.48/22.68 | % 55.48/22.68 |-The branch is then unsatisfiable % 55.48/22.68 |-Branch two: % 55.48/22.68 | (632) ~ (all_0_55_55 = e1) % 55.48/22.68 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 55.48/22.68 | % 55.48/22.68 +-Applying beta-rule and splitting (633), into two cases. % 55.48/22.68 |-Branch one: % 55.48/22.68 | (1569) all_0_56_56 = e1 % 55.48/22.68 | % 55.48/22.68 | Equations (1569) can reduce 236 to: % 55.77/22.68 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.68 | % 55.77/22.68 | Equations (1569) can reduce 477 to: % 55.77/22.68 | (602) ~ (e4 = e1) % 55.77/22.68 | % 55.77/22.68 | Simplifying 602 yields: % 55.77/22.68 | (110) ~ (e4 = e1) % 55.77/22.68 | % 55.77/22.68 | Equations (1569) can reduce 511 to: % 55.77/22.68 | (604) ~ (e2 = e1) % 55.77/22.68 | % 55.77/22.68 | Simplifying 604 yields: % 55.77/22.68 | (122) ~ (e2 = e1) % 55.77/22.68 | % 55.77/22.68 | Equations (1569) can reduce 828 to: % 55.77/22.68 | (233) ~ (e1 = e0) % 55.77/22.68 | % 55.77/22.68 | From (1569) and (87) follows: % 55.77/22.68 | (5145) op(e1, e2) = all_0_34_34 % 55.77/22.68 | % 55.77/22.68 | From (1569) and (127) follows: % 55.77/22.68 | (5595) op(e1, e0) = all_0_33_33 % 55.77/22.68 | % 55.77/22.68 +-Applying beta-rule and splitting (47), into two cases. % 55.77/22.68 |-Branch one: % 55.77/22.68 | (317) all_0_39_39 = e2 % 55.77/22.68 | % 55.77/22.68 | Combining equations (471,317) yields a new equation: % 55.77/22.68 | (322) e4 = e2 % 55.77/22.68 | % 55.77/22.68 | Simplifying 322 yields: % 55.77/22.68 | (323) e4 = e2 % 55.77/22.68 | % 55.77/22.68 | Equations (323) can reduce 48 to: % 55.77/22.68 | (266) $false % 55.77/22.68 | % 55.77/22.68 |-The branch is then unsatisfiable % 55.77/22.68 |-Branch two: % 55.77/22.68 | (294) ~ (all_0_39_39 = e2) % 55.77/22.68 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.68 | % 55.77/22.68 +-Applying beta-rule and splitting (231), into two cases. % 55.77/22.68 |-Branch one: % 55.77/22.68 | (775) all_0_50_50 = e4 % 55.77/22.68 | % 55.77/22.68 | Equations (775) can reduce 566 to: % 55.77/22.68 | (266) $false % 55.77/22.68 | % 55.77/22.68 |-The branch is then unsatisfiable % 55.77/22.68 |-Branch two: % 55.77/22.68 | (566) ~ (all_0_50_50 = e4) % 55.77/22.68 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 55.77/22.68 | % 55.77/22.68 +-Applying beta-rule and splitting (152), into two cases. % 55.77/22.68 |-Branch one: % 55.77/22.68 | (1392) all_0_42_42 = e4 % 55.77/22.68 | % 55.77/22.68 | Equations (1392) can reduce 1890 to: % 55.77/22.68 | (266) $false % 55.77/22.68 | % 55.77/22.68 |-The branch is then unsatisfiable % 55.77/22.68 |-Branch two: % 55.77/22.68 | (1890) ~ (all_0_42_42 = e4) % 55.77/22.68 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 55.77/22.68 | % 55.77/22.68 +-Applying beta-rule and splitting (18), into two cases. % 55.77/22.68 |-Branch one: % 55.77/22.68 | (453) all_0_41_41 = e1 % 55.77/22.68 | % 55.77/22.68 | Combining equations (794,453) yields a new equation: % 55.77/22.68 | (431) e1 = e0 % 55.77/22.68 | % 55.77/22.68 | Equations (431) can reduce 233 to: % 55.77/22.68 | (266) $false % 55.77/22.68 | % 55.77/22.68 |-The branch is then unsatisfiable % 55.77/22.68 |-Branch two: % 55.77/22.68 | (457) ~ (all_0_41_41 = e1) % 55.77/22.68 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 55.77/22.68 | % 55.77/22.68 +-Applying beta-rule and splitting (1969), into two cases. % 55.77/22.68 |-Branch one: % 55.77/22.68 | (559) all_0_42_42 = e0 % 55.77/22.68 | % 55.77/22.68 | Equations (559) can reduce 358 to: % 55.77/22.68 | (266) $false % 55.77/22.68 | % 55.77/22.68 |-The branch is then unsatisfiable % 55.77/22.68 |-Branch two: % 55.77/22.68 | (358) ~ (all_0_42_42 = e0) % 55.77/22.68 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 55.77/22.68 | % 55.77/22.68 +-Applying beta-rule and splitting (2510), into two cases. % 55.77/22.68 |-Branch one: % 55.77/22.68 | (459) all_0_42_42 = e1 % 55.77/22.68 | % 55.77/22.68 | Equations (459) can reduce 1380 to: % 55.77/22.68 | (266) $false % 55.77/22.68 | % 55.77/22.68 |-The branch is then unsatisfiable % 55.77/22.68 |-Branch two: % 55.77/22.68 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.68 | (516) all_0_42_42 = e3 % 55.77/22.69 | % 55.77/22.69 | Equations (516) can reduce 73 to: % 55.77/22.69 | (406) ~ (all_0_44_44 = e3) % 55.77/22.69 | % 55.77/22.69 | Simplifying 406 yields: % 55.77/22.69 | (407) ~ (all_0_44_44 = e3) % 55.77/22.69 | % 55.77/22.69 | Equations (516) can reduce 1890 to: % 55.77/22.69 | (277) ~ (e4 = e3) % 55.77/22.69 | % 55.77/22.69 | Simplifying 277 yields: % 55.77/22.69 | (188) ~ (e4 = e3) % 55.77/22.69 | % 55.77/22.69 | Equations (516) can reduce 1380 to: % 55.77/22.69 | (213) ~ (e3 = e1) % 55.77/22.69 | % 55.77/22.69 | Equations (516) can reduce 358 to: % 55.77/22.69 | (80) ~ (e3 = e0) % 55.77/22.69 | % 55.77/22.69 | From (516) and (226) follows: % 55.77/22.69 | (5629) op(e3, e3) = all_0_7_7 % 55.77/22.69 | % 55.77/22.69 | From (516) and (225) follows: % 55.77/22.69 | (4633) op(e3, e2) = all_0_8_8 % 55.77/22.69 | % 55.77/22.69 | From (516) and (210) follows: % 55.77/22.69 | (4285) op(e3, e2) = e3 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (595), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (545) all_0_46_46 = e1 % 55.77/22.69 | % 55.77/22.69 | Equations (545) can reduce 250 to: % 55.77/22.69 | (602) ~ (e4 = e1) % 55.77/22.69 | % 55.77/22.69 | Simplifying 602 yields: % 55.77/22.69 | (110) ~ (e4 = e1) % 55.77/22.69 | % 55.77/22.69 | Equations (545) can reduce 831 to: % 55.77/22.69 | (233) ~ (e1 = e0) % 55.77/22.69 | % 55.77/22.69 | From (545) and (179) follows: % 55.77/22.69 | (5636) op(e1, e2) = all_0_15_15 % 55.77/22.69 | % 55.77/22.69 | From (545) and (120) follows: % 55.77/22.69 | (2105) op(e2, e3) = e1 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (112), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (635) all_0_44_44 = e1 % 55.77/22.69 | % 55.77/22.69 | Equations (635) can reduce 143 to: % 55.77/22.69 | (132) ~ (all_0_40_40 = e1) % 55.77/22.69 | % 55.77/22.69 | Equations (635) can reduce 220 to: % 55.77/22.69 | (1458) ~ (all_0_53_53 = e1) % 55.77/22.69 | % 55.77/22.69 | Simplifying 1458 yields: % 55.77/22.69 | (1459) ~ (all_0_53_53 = e1) % 55.77/22.69 | % 55.77/22.69 | Equations (635) can reduce 407 to: % 55.77/22.69 | (467) ~ (e3 = e1) % 55.77/22.69 | % 55.77/22.69 | Simplifying 467 yields: % 55.77/22.69 | (213) ~ (e3 = e1) % 55.77/22.69 | % 55.77/22.69 | Equations (635) can reduce 147 to: % 55.77/22.69 | (604) ~ (e2 = e1) % 55.77/22.69 | % 55.77/22.69 | Simplifying 604 yields: % 55.77/22.69 | (122) ~ (e2 = e1) % 55.77/22.69 | % 55.77/22.69 | From (635) and (70) follows: % 55.77/22.69 | (2555) op(e1, e0) = all_0_12_12 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (78), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (423) all_0_45_45 = e3 % 55.77/22.69 | % 55.77/22.69 | Combining equations (248,423) yields a new equation: % 55.77/22.69 | (424) e4 = e3 % 55.77/22.69 | % 55.77/22.69 | Simplifying 424 yields: % 55.77/22.69 | (425) e4 = e3 % 55.77/22.69 | % 55.77/22.69 | Equations (425) can reduce 188 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (427) ~ (all_0_45_45 = e3) % 55.77/22.69 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (385), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (1105) all_0_47_47 = e2 % 55.77/22.69 | % 55.77/22.69 | Combining equations (674,1105) yields a new equation: % 55.77/22.69 | (330) e2 = e0 % 55.77/22.69 | % 55.77/22.69 | Equations (330) can reduce 128 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (338) ~ (all_0_47_47 = e2) % 55.77/22.69 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (1108), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (504) all_0_51_51 = e2 % 55.77/22.69 | % 55.77/22.69 | Equations (504) can reduce 6 to: % 55.77/22.69 | (508) ~ (all_0_53_53 = e2) % 55.77/22.69 | % 55.77/22.69 | Simplifying 508 yields: % 55.77/22.69 | (509) ~ (all_0_53_53 = e2) % 55.77/22.69 | % 55.77/22.69 | From (504) and (177) follows: % 55.77/22.69 | (514) op(e2, e2) = all_0_25_25 % 55.77/22.69 | % 55.77/22.69 | From (504) and (186) follows: % 55.77/22.69 | (515) op(e1, e2) = e2 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (54), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (583) all_0_49_49 = e2 % 55.77/22.69 | % 55.77/22.69 | Equations (583) can reduce 340 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (340) ~ (all_0_49_49 = e2) % 55.77/22.69 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (428), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (1557) all_0_46_46 = e3 % 55.77/22.69 | % 55.77/22.69 | Combining equations (545,1557) yields a new equation: % 55.77/22.69 | (455) e3 = e1 % 55.77/22.69 | % 55.77/22.69 | Equations (455) can reduce 213 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (409) ~ (all_0_46_46 = e3) % 55.77/22.69 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (1561), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (522) all_0_47_47 = e3 % 55.77/22.69 | % 55.77/22.69 | Combining equations (522,674) yields a new equation: % 55.77/22.69 | (675) e3 = e0 % 55.77/22.69 | % 55.77/22.69 | Simplifying 675 yields: % 55.77/22.69 | (676) e3 = e0 % 55.77/22.69 | % 55.77/22.69 | Equations (676) can reduce 80 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (1091) ~ (all_0_47_47 = e3) % 55.77/22.69 | (884) all_0_49_49 = e3 % 55.77/22.69 | % 55.77/22.69 | Equations (884) can reduce 200 to: % 55.77/22.69 | (2) ~ (all_0_40_40 = e3) % 55.77/22.69 | % 55.77/22.69 | Equations (884) can reduce 65 to: % 55.77/22.69 | (1114) ~ (all_0_53_53 = e3) % 55.77/22.69 | % 55.77/22.69 | Simplifying 1114 yields: % 55.77/22.69 | (903) ~ (all_0_53_53 = e3) % 55.77/22.69 | % 55.77/22.69 | Equations (884) can reduce 340 to: % 55.77/22.69 | (212) ~ (e3 = e2) % 55.77/22.69 | % 55.77/22.69 | From (884) and (129) follows: % 55.77/22.69 | (4740) op(e3, e2) = all_0_20_20 % 55.77/22.69 | % 55.77/22.69 | From (884) and (55) follows: % 55.77/22.69 | (1581) op(e2, e0) = e3 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (196), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (607) all_0_53_53 = e2 % 55.77/22.69 | % 55.77/22.69 | Equations (607) can reduce 509 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (509) ~ (all_0_53_53 = e2) % 55.77/22.69 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (610), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (1298) all_0_53_53 = e4 % 55.77/22.69 | % 55.77/22.69 | Equations (1298) can reduce 162 to: % 55.77/22.69 | (447) ~ (all_0_40_40 = e4) % 55.77/22.69 | % 55.77/22.69 | Equations (1298) can reduce 903 to: % 55.77/22.69 | (188) ~ (e4 = e3) % 55.77/22.69 | % 55.77/22.69 | From (1298) and (175) follows: % 55.77/22.69 | (5691) op(e4, e0) = all_0_28_28 % 55.77/22.69 | % 55.77/22.69 | From (1298) and (84) follows: % 55.77/22.69 | (5692) op(e1, e0) = e4 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (168), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (415) all_0_50_50 = e3 % 55.77/22.69 | % 55.77/22.69 | From (415) and (8) follows: % 55.77/22.69 | (5694) op(e3, e3) = all_0_23_23 % 55.77/22.69 | % 55.77/22.69 | From (415) and (57) follows: % 55.77/22.69 | (1933) op(e3, e1) = all_0_22_22 % 55.77/22.69 | % 55.77/22.69 +-Applying beta-rule and splitting (316), into two cases. % 55.77/22.69 |-Branch one: % 55.77/22.69 | (1378) all_0_40_40 = e4 % 55.77/22.69 | % 55.77/22.69 | Equations (1378) can reduce 447 to: % 55.77/22.69 | (266) $false % 55.77/22.69 | % 55.77/22.69 |-The branch is then unsatisfiable % 55.77/22.69 |-Branch two: % 55.77/22.69 | (447) ~ (all_0_40_40 = e4) % 55.77/22.69 | (485) all_0_40_40 = e0 % 55.77/22.69 | % 55.77/22.69 | Equations (485) can reduce 2 to: % 55.77/22.69 | (541) ~ (e3 = e0) % 55.77/22.69 | % 55.77/22.69 | Simplifying 541 yields: % 55.77/22.69 | (80) ~ (e3 = e0) % 55.77/22.69 | % 55.77/22.69 | Equations (485) can reduce 132 to: % 55.77/22.69 | (435) ~ (e1 = e0) % 55.77/22.69 | % 55.77/22.69 | Simplifying 435 yields: % 55.77/22.69 | (233) ~ (e1 = e0) % 55.77/22.69 | % 55.77/22.69 | From (485) and (34) follows: % 55.77/22.69 | (494) op(e0, e4) = all_0_4_4 % 55.77/22.69 | % 55.77/22.69 | From (485) and (234) follows: % 55.77/22.69 | (3072) op(e4, e0) = e0 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 55.77/22.69 | (496) all_0_2_2 = e1 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e4, e0, all_0_31_31, all_0_28_28 and discharging atoms op(e4, e0) = all_0_28_28, op(e4, e0) = all_0_31_31, yields: % 55.77/22.69 | (5707) all_0_28_28 = all_0_31_31 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e4, e0, e0, all_0_28_28 and discharging atoms op(e4, e0) = all_0_28_28, op(e4, e0) = e0, yields: % 55.77/22.69 | (5708) all_0_28_28 = e0 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e3, e3, all_0_23_23, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_23_23, yields: % 55.77/22.69 | (5709) all_0_7_7 = all_0_23_23 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e3, e3, e0, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e0, yields: % 55.77/22.69 | (5710) all_0_7_7 = e0 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e3, e2, all_0_20_20, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_20_20, yields: % 55.77/22.69 | (5711) all_0_8_8 = all_0_20_20 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e3, e2, e3, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = e3, yields: % 55.77/22.69 | (4675) all_0_8_8 = e3 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e3, e1, e4, all_0_22_22 and discharging atoms op(e3, e1) = all_0_22_22, op(e3, e1) = e4, yields: % 55.77/22.69 | (686) all_0_22_22 = e4 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e2, e2, e0, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = e0, yields: % 55.77/22.69 | (5156) all_0_25_25 = e0 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e1, e2, all_0_34_34, all_0_15_15 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = all_0_34_34, yields: % 55.77/22.69 | (5715) all_0_15_15 = all_0_34_34 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e1, e2, e2, all_0_15_15 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = e2, yields: % 55.77/22.69 | (1599) all_0_15_15 = e2 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e1, e0, all_0_33_33, all_0_12_12 and discharging atoms op(e1, e0) = all_0_12_12, op(e1, e0) = all_0_33_33, yields: % 55.77/22.69 | (5717) all_0_12_12 = all_0_33_33 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e1, e0, e4, all_0_12_12 and discharging atoms op(e1, e0) = all_0_12_12, op(e1, e0) = e4, yields: % 55.77/22.69 | (5718) all_0_12_12 = e4 % 55.77/22.69 | % 55.77/22.69 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 55.77/22.69 | (498) all_0_4_4 = e3 % 55.77/22.69 | % 55.77/22.69 | Combining equations (5709,5710) yields a new equation: % 55.77/22.69 | (5720) all_0_23_23 = e0 % 55.77/22.69 | % 55.77/22.70 | Simplifying 5720 yields: % 55.77/22.70 | (5721) all_0_23_23 = e0 % 55.77/22.70 | % 55.77/22.70 | Combining equations (5711,4675) yields a new equation: % 55.77/22.70 | (5722) all_0_20_20 = e3 % 55.77/22.70 | % 55.77/22.70 | Simplifying 5722 yields: % 55.77/22.70 | (4837) all_0_20_20 = e3 % 55.77/22.70 | % 55.77/22.70 | Combining equations (5717,5718) yields a new equation: % 55.77/22.70 | (5724) all_0_33_33 = e4 % 55.77/22.70 | % 55.77/22.70 | Simplifying 5724 yields: % 55.77/22.70 | (5725) all_0_33_33 = e4 % 55.77/22.70 | % 55.77/22.70 | Combining equations (5715,1599) yields a new equation: % 55.77/22.70 | (5726) all_0_34_34 = e2 % 55.77/22.70 | % 55.77/22.70 | Simplifying 5726 yields: % 55.77/22.70 | (5160) all_0_34_34 = e2 % 55.77/22.70 | % 55.77/22.70 | Combining equations (5707,5708) yields a new equation: % 55.77/22.70 | (5728) all_0_31_31 = e0 % 55.77/22.70 | % 55.77/22.70 | Simplifying 5728 yields: % 55.77/22.70 | (4836) all_0_31_31 = e0 % 55.77/22.70 | % 55.77/22.70 | From (496) and (479) follows: % 55.77/22.70 | (41) op(e4, e4) = e1 % 55.77/22.70 | % 55.77/22.70 | From (4836) and (4717) follows: % 55.77/22.70 | (3072) op(e4, e0) = e0 % 55.77/22.70 | % 55.77/22.70 | From (5721) and (5694) follows: % 55.77/22.70 | (5573) op(e3, e3) = e0 % 55.77/22.70 | % 55.77/22.70 | From (4837) and (4740) follows: % 55.77/22.70 | (4285) op(e3, e2) = e3 % 55.77/22.70 | % 55.77/22.70 | From (686) and (1933) follows: % 55.77/22.70 | (5492) op(e3, e1) = e4 % 55.77/22.70 | % 55.77/22.70 | From (5156) and (514) follows: % 55.77/22.70 | (3148) op(e2, e2) = e0 % 55.77/22.70 | % 55.77/22.70 | From (5160) and (5145) follows: % 55.77/22.70 | (515) op(e1, e2) = e2 % 55.77/22.70 | % 55.77/22.70 | From (5725) and (5595) follows: % 55.77/22.70 | (5692) op(e1, e0) = e4 % 55.77/22.70 | % 55.77/22.70 | From (498) and (494) follows: % 55.77/22.70 | (283) op(e0, e4) = e3 % 55.77/22.70 | % 55.77/22.70 +-Applying beta-rule and splitting (56), into two cases. % 55.77/22.70 |-Branch one: % 55.77/22.70 | (696) unit = e2 % 55.77/22.70 | % 55.77/22.70 | From (696) and (32) follows: % 55.77/22.70 | (698) op(e2, e2) = e2 % 55.77/22.70 | % 55.77/22.70 | From (696) and (28) follows: % 55.77/22.70 | (699) op(e1, e2) = e1 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 55.77/22.70 | (330) e2 = e0 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.77/22.70 | (617) e2 = e1 % 55.77/22.70 | % 55.77/22.70 | Combining equations (330,617) yields a new equation: % 55.77/22.70 | (431) e1 = e0 % 55.77/22.70 | % 55.77/22.70 | Equations (431) can reduce 233 to: % 55.77/22.70 | (266) $false % 55.77/22.70 | % 55.77/22.70 |-The branch is then unsatisfiable % 55.77/22.70 |-Branch two: % 55.77/22.70 | (707) ~ (unit = e2) % 55.77/22.70 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.77/22.70 | % 55.77/22.70 +-Applying beta-rule and splitting (708), into two cases. % 55.77/22.70 |-Branch one: % 55.77/22.70 | (709) unit = e4 % 55.77/22.70 | % 55.77/22.70 | From (709) and (227) follows: % 55.77/22.70 | (710) op(e4, e4) = e4 % 55.77/22.70 | % 55.77/22.70 | From (709) and (40) follows: % 55.77/22.70 | (711) op(e3, e4) = e3 % 55.77/22.70 | % 55.77/22.70 | From (709) and (32) follows: % 55.77/22.70 | (712) op(e2, e4) = e2 % 55.77/22.70 | % 55.77/22.70 | From (709) and (42) follows: % 55.77/22.70 | (713) op(e0, e4) = e0 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.77/22.70 | (630) e4 = e1 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.77/22.70 | (662) e3 = e2 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.77/22.70 | (323) e4 = e2 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.77/22.70 | (676) e3 = e0 % 55.77/22.70 | % 55.77/22.70 | Combining equations (323,630) yields a new equation: % 55.77/22.70 | (616) e2 = e1 % 55.77/22.70 | % 55.77/22.70 | Simplifying 616 yields: % 55.77/22.70 | (617) e2 = e1 % 55.77/22.70 | % 55.77/22.70 | Combining equations (662,676) yields a new equation: % 55.77/22.70 | (391) e2 = e0 % 55.77/22.70 | % 55.77/22.70 | Simplifying 391 yields: % 55.77/22.70 | (330) e2 = e0 % 55.77/22.70 | % 55.77/22.70 | Combining equations (330,617) yields a new equation: % 55.77/22.70 | (431) e1 = e0 % 55.77/22.70 | % 55.77/22.70 | Equations (431) can reduce 233 to: % 55.77/22.70 | (266) $false % 55.77/22.70 | % 55.77/22.70 |-The branch is then unsatisfiable % 55.77/22.70 |-Branch two: % 55.77/22.70 | (724) ~ (unit = e4) % 55.77/22.70 | (725) unit = e3 | unit = e1 | unit = e0 % 55.77/22.70 | % 55.77/22.70 +-Applying beta-rule and splitting (725), into two cases. % 55.77/22.70 |-Branch one: % 55.77/22.70 | (726) unit = e0 % 55.77/22.70 | % 55.77/22.70 | From (726) and (24) follows: % 55.77/22.70 | (2208) op(e0, e3) = e3 % 55.77/22.70 | % 55.77/22.70 | From (726) and (227) follows: % 55.77/22.70 | (3205) op(e4, e0) = e4 % 55.77/22.70 | % 55.77/22.70 | From (726) and (32) follows: % 55.77/22.70 | (727) op(e2, e0) = e2 % 55.77/22.70 | % 55.77/22.70 | From (726) and (28) follows: % 55.77/22.70 | (2698) op(e1, e0) = e1 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 55.77/22.70 | (397) e4 = e0 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 55.77/22.70 | (662) e3 = e2 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 55.77/22.70 | (630) e4 = e1 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 55.77/22.70 | (425) e4 = e3 % 55.77/22.70 | % 55.77/22.70 | Combining equations (630,425) yields a new equation: % 55.77/22.70 | (455) e3 = e1 % 55.77/22.70 | % 55.77/22.70 | Combining equations (397,425) yields a new equation: % 55.77/22.70 | (676) e3 = e0 % 55.77/22.70 | % 55.77/22.70 | Combining equations (676,662) yields a new equation: % 55.77/22.70 | (330) e2 = e0 % 55.77/22.70 | % 55.77/22.70 | Combining equations (455,662) yields a new equation: % 55.77/22.70 | (617) e2 = e1 % 55.77/22.70 | % 55.77/22.70 | Combining equations (330,617) yields a new equation: % 55.77/22.70 | (431) e1 = e0 % 55.77/22.70 | % 55.77/22.70 | Equations (431) can reduce 233 to: % 55.77/22.70 | (266) $false % 55.77/22.70 | % 55.77/22.70 |-The branch is then unsatisfiable % 55.77/22.70 |-Branch two: % 55.77/22.70 | (734) ~ (unit = e0) % 55.77/22.70 | (735) unit = e3 | unit = e1 % 55.77/22.70 | % 55.77/22.70 +-Applying beta-rule and splitting (735), into two cases. % 55.77/22.70 |-Branch one: % 55.77/22.70 | (736) unit = e1 % 55.77/22.70 | % 55.77/22.70 | From (736) and (209) follows: % 55.77/22.70 | (2715) op(e1, e0) = e0 % 55.77/22.70 | % 55.77/22.70 | From (736) and (40) follows: % 55.77/22.70 | (1652) op(e3, e1) = e3 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields: % 55.77/22.70 | (425) e4 = e3 % 55.77/22.70 | % 55.77/22.70 | Instantiating formula (29) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields: % 55.77/22.70 | (397) e4 = e0 % 55.77/22.70 | % 55.77/22.70 | Combining equations (397,425) yields a new equation: % 55.77/22.70 | (676) e3 = e0 % 55.77/22.70 | % 55.77/22.70 | Equations (676) can reduce 80 to: % 55.77/22.70 | (266) $false % 55.77/22.70 | % 55.77/22.70 |-The branch is then unsatisfiable % 55.77/22.70 |-Branch two: % 55.77/22.70 | (748) ~ (unit = e1) % 55.77/22.70 | (749) unit = e3 % 55.77/22.70 | % 55.77/22.70 | From (749) and (15) follows: % 55.77/22.70 | (751) op(e3, e2) = e2 % 55.77/22.70 | % 55.77/22.70 | From (749) and (40) follows: % 55.77/22.70 | (3715) op(e3, e3) = e3 % 55.77/22.70 | % 55.77/22.70 | From (749) and (32) follows: % 55.77/22.71 | (5793) op(e2, e3) = e2 % 55.77/22.71 | % 55.77/22.71 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 55.77/22.71 | (676) e3 = e0 % 55.77/22.71 | % 55.77/22.71 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 55.77/22.71 | (662) e3 = e2 % 55.77/22.71 | % 55.77/22.71 | Instantiating formula (29) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 55.77/22.71 | (617) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Combining equations (662,676) yields a new equation: % 55.77/22.71 | (391) e2 = e0 % 55.77/22.71 | % 55.77/22.71 | Simplifying 391 yields: % 55.77/22.71 | (330) e2 = e0 % 55.77/22.71 | % 55.77/22.71 | Combining equations (617,330) yields a new equation: % 55.77/22.71 | (546) e1 = e0 % 55.77/22.71 | % 55.77/22.71 | Simplifying 546 yields: % 55.77/22.71 | (431) e1 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (431) can reduce 233 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (411) ~ (all_0_50_50 = e3) % 55.77/22.71 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (418), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (660) all_0_51_51 = e3 % 55.77/22.71 | % 55.77/22.71 | Combining equations (504,660) yields a new equation: % 55.77/22.71 | (662) e3 = e2 % 55.77/22.71 | % 55.77/22.71 | Equations (662) can reduce 212 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (664) ~ (all_0_51_51 = e3) % 55.77/22.71 | (665) all_0_53_53 = e3 % 55.77/22.71 | % 55.77/22.71 | Combining equations (1298,665) yields a new equation: % 55.77/22.71 | (424) e4 = e3 % 55.77/22.71 | % 55.77/22.71 | Simplifying 424 yields: % 55.77/22.71 | (425) e4 = e3 % 55.77/22.71 | % 55.77/22.71 | Equations (425) can reduce 188 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1453) ~ (all_0_53_53 = e4) % 55.77/22.71 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1694), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (1208) all_0_53_53 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (1208) can reduce 1459 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1459) ~ (all_0_53_53 = e1) % 55.77/22.71 | (665) all_0_53_53 = e3 % 55.77/22.71 | % 55.77/22.71 | Equations (665) can reduce 903 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1099) ~ (all_0_51_51 = e2) % 55.77/22.71 | (833) all_0_56_56 = e2 % 55.77/22.71 | % 55.77/22.71 | Combining equations (833,1569) yields a new equation: % 55.77/22.71 | (616) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Simplifying 616 yields: % 55.77/22.71 | (617) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (617) can reduce 122 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (639) ~ (all_0_44_44 = e1) % 55.77/22.71 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (103), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (453) all_0_41_41 = e1 % 55.77/22.71 | % 55.77/22.71 | Combining equations (794,453) yields a new equation: % 55.77/22.71 | (431) e1 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (431) can reduce 233 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (457) ~ (all_0_41_41 = e1) % 55.77/22.71 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (458), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (459) all_0_42_42 = e1 % 55.77/22.71 | % 55.77/22.71 | Combining equations (516,459) yields a new equation: % 55.77/22.71 | (454) e3 = e1 % 55.77/22.71 | % 55.77/22.71 | Simplifying 454 yields: % 55.77/22.71 | (455) e3 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (455) can reduce 213 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.71 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1381), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (430) all_0_43_43 = e1 % 55.77/22.71 | % 55.77/22.71 | Combining equations (396,430) yields a new equation: % 55.77/22.71 | (636) e4 = e1 % 55.77/22.71 | % 55.77/22.71 | Simplifying 636 yields: % 55.77/22.71 | (630) e4 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (630) can reduce 110 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (433) ~ (all_0_43_43 = e1) % 55.77/22.71 | (635) all_0_44_44 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (635) can reduce 639 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (549) ~ (all_0_46_46 = e1) % 55.77/22.71 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (123), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (1794) all_0_46_46 = e2 % 55.77/22.71 | % 55.77/22.71 | Equations (1794) can reduce 300 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (300) ~ (all_0_46_46 = e2) % 55.77/22.71 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (385), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (1105) all_0_47_47 = e2 % 55.77/22.71 | % 55.77/22.71 | Combining equations (674,1105) yields a new equation: % 55.77/22.71 | (330) e2 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (330) can reduce 128 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (338) ~ (all_0_47_47 = e2) % 55.77/22.71 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1797), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (770) all_0_46_46 = e4 % 55.77/22.71 | % 55.77/22.71 | Equations (770) can reduce 250 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (250) ~ (all_0_46_46 = e4) % 55.77/22.71 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (135), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (545) all_0_46_46 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (545) can reduce 549 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (549) ~ (all_0_46_46 = e1) % 55.77/22.71 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1801), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (538) all_0_46_46 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (538) can reduce 831 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (831) ~ (all_0_46_46 = e0) % 55.77/22.71 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1108), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (504) all_0_51_51 = e2 % 55.77/22.71 | % 55.77/22.71 | Equations (504) can reduce 475 to: % 55.77/22.71 | (327) ~ (e4 = e2) % 55.77/22.71 | % 55.77/22.71 | Simplifying 327 yields: % 55.77/22.71 | (48) ~ (e4 = e2) % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1838), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (545) all_0_46_46 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (545) can reduce 549 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (549) ~ (all_0_46_46 = e1) % 55.77/22.71 | (1557) all_0_46_46 = e3 % 55.77/22.71 | % 55.77/22.71 | Equations (1557) can reduce 208 to: % 55.77/22.71 | (524) ~ (all_0_49_49 = e3) % 55.77/22.71 | % 55.77/22.71 | Simplifying 524 yields: % 55.77/22.71 | (525) ~ (all_0_49_49 = e3) % 55.77/22.71 | % 55.77/22.71 | Equations (1557) can reduce 250 to: % 55.77/22.71 | (277) ~ (e4 = e3) % 55.77/22.71 | % 55.77/22.71 | Simplifying 277 yields: % 55.77/22.71 | (188) ~ (e4 = e3) % 55.77/22.71 | % 55.77/22.71 | Equations (1557) can reduce 300 to: % 55.77/22.71 | (212) ~ (e3 = e2) % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (189), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (532) all_0_44_44 = e3 % 55.77/22.71 | % 55.77/22.71 | Equations (532) can reduce 407 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (407) ~ (all_0_44_44 = e3) % 55.77/22.71 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (537), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (884) all_0_49_49 = e3 % 55.77/22.71 | % 55.77/22.71 | Equations (884) can reduce 525 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (525) ~ (all_0_49_49 = e3) % 55.77/22.71 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (887), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (665) all_0_53_53 = e3 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1071), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (1101) all_0_51_51 = e4 % 55.77/22.71 | % 55.77/22.71 | Combining equations (1101,504) yields a new equation: % 55.77/22.71 | (322) e4 = e2 % 55.77/22.71 | % 55.77/22.71 | Simplifying 322 yields: % 55.77/22.71 | (323) e4 = e2 % 55.77/22.71 | % 55.77/22.71 | Equations (323) can reduce 48 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (475) ~ (all_0_51_51 = e4) % 55.77/22.71 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1294), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (565) all_0_52_52 = e4 % 55.77/22.71 | % 55.77/22.71 | Combining equations (565,642) yields a new equation: % 55.77/22.71 | (636) e4 = e1 % 55.77/22.71 | % 55.77/22.71 | Simplifying 636 yields: % 55.77/22.71 | (630) e4 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (630) can reduce 110 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (780) ~ (all_0_52_52 = e4) % 55.77/22.71 | (1298) all_0_53_53 = e4 % 55.77/22.71 | % 55.77/22.71 | Combining equations (1298,665) yields a new equation: % 55.77/22.71 | (424) e4 = e3 % 55.77/22.71 | % 55.77/22.71 | Simplifying 424 yields: % 55.77/22.71 | (425) e4 = e3 % 55.77/22.71 | % 55.77/22.71 | Equations (425) can reduce 188 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (903) ~ (all_0_53_53 = e3) % 55.77/22.71 | (795) all_0_58_58 = e3 % 55.77/22.71 | % 55.77/22.71 | Combining equations (624,795) yields a new equation: % 55.77/22.71 | (662) e3 = e2 % 55.77/22.71 | % 55.77/22.71 | Equations (662) can reduce 212 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1099) ~ (all_0_51_51 = e2) % 55.77/22.71 | (833) all_0_56_56 = e2 % 55.77/22.71 | % 55.77/22.71 | Combining equations (833,1569) yields a new equation: % 55.77/22.71 | (616) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Simplifying 616 yields: % 55.77/22.71 | (617) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (617) can reduce 122 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (466) ~ (all_0_56_56 = e1) % 55.77/22.71 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (1574), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (647) all_0_57_57 = e1 % 55.77/22.71 | % 55.77/22.71 | Combining equations (647,875) yields a new equation: % 55.77/22.71 | (546) e1 = e0 % 55.77/22.71 | % 55.77/22.71 | Simplifying 546 yields: % 55.77/22.71 | (431) e1 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (431) can reduce 233 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1670) ~ (all_0_57_57 = e1) % 55.77/22.71 | (918) all_0_58_58 = e1 % 55.77/22.71 | % 55.77/22.71 | Combining equations (624,918) yields a new equation: % 55.77/22.71 | (616) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Simplifying 616 yields: % 55.77/22.71 | (617) e2 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (617) can reduce 122 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (763) ~ (all_0_55_55 = e4) % 55.77/22.71 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (764), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (842) all_0_56_56 = e4 % 55.77/22.71 | % 55.77/22.71 | Equations (842) can reduce 477 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (477) ~ (all_0_56_56 = e4) % 55.77/22.71 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (935), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (871) all_0_57_57 = e4 % 55.77/22.71 | % 55.77/22.71 | Combining equations (871,875) yields a new equation: % 55.77/22.71 | (481) e4 = e0 % 55.77/22.71 | % 55.77/22.71 | Simplifying 481 yields: % 55.77/22.71 | (397) e4 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (397) can reduce 49 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (839) ~ (all_0_57_57 = e4) % 55.77/22.71 | (910) all_0_58_58 = e4 % 55.77/22.71 | % 55.77/22.71 | Combining equations (624,910) yields a new equation: % 55.77/22.71 | (323) e4 = e2 % 55.77/22.71 | % 55.77/22.71 | Equations (323) can reduce 48 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (357) ~ (all_0_41_41 = e0) % 55.77/22.71 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (895), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (538) all_0_46_46 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (538) can reduce 831 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (831) ~ (all_0_46_46 = e0) % 55.77/22.71 | (858) all_0_55_55 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (858) can reduce 803 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (1377) ~ (all_0_39_39 = e4) % 55.77/22.71 | (480) all_0_39_39 = e0 % 55.77/22.71 | % 55.77/22.71 | Equations (480) can reduce 484 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 55.77/22.71 | % 55.77/22.71 | Applying alpha-rule on (825) yields: % 55.77/22.71 | (674) all_0_47_47 = e0 % 55.77/22.71 | (624) all_0_58_58 = e2 % 55.77/22.71 | (828) ~ (all_0_56_56 = e0) % 55.77/22.71 | % 55.77/22.71 | Equations (674) can reduce 79 to: % 55.77/22.71 | (484) ~ (all_0_39_39 = e0) % 55.77/22.71 | % 55.77/22.71 | Equations (624) can reduce 181 to: % 55.77/22.71 | (147) ~ (all_0_44_44 = e2) % 55.77/22.71 | % 55.77/22.71 | Equations (674) can reduce 19 to: % 55.77/22.71 | (831) ~ (all_0_46_46 = e0) % 55.77/22.71 | % 55.77/22.71 | Equations (674) can reduce 91 to: % 55.77/22.71 | (1181) ~ (all_0_56_56 = e0) % 55.77/22.71 | % 55.77/22.71 | Simplifying 1181 yields: % 55.77/22.71 | (828) ~ (all_0_56_56 = e0) % 55.77/22.71 | % 55.77/22.71 | Equations (624) can reduce 119 to: % 55.77/22.71 | (340) ~ (all_0_49_49 = e2) % 55.77/22.71 | % 55.77/22.71 | Equations (624) can reduce 3 to: % 55.77/22.71 | (304) ~ (all_0_55_55 = e2) % 55.77/22.71 | % 55.77/22.71 | Equations (624) can reduce 44 to: % 55.77/22.71 | (511) ~ (all_0_56_56 = e2) % 55.77/22.71 | % 55.77/22.71 | Equations (624) can reduce 491 to: % 55.77/22.71 | (128) ~ (e2 = e0) % 55.77/22.71 | % 55.77/22.71 | From (674) and (23) follows: % 55.77/22.71 | (3148) op(e2, e2) = e0 % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (355), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (565) all_0_52_52 = e4 % 55.77/22.71 | % 55.77/22.71 | Equations (565) can reduce 780 to: % 55.77/22.71 | (266) $false % 55.77/22.71 | % 55.77/22.71 |-The branch is then unsatisfiable % 55.77/22.71 |-Branch two: % 55.77/22.71 | (780) ~ (all_0_52_52 = e4) % 55.77/22.71 | (642) all_0_52_52 = e1 % 55.77/22.71 | % 55.77/22.71 | Equations (642) can reduce 342 to: % 55.77/22.71 | (604) ~ (e2 = e1) % 55.77/22.71 | % 55.77/22.71 | Simplifying 604 yields: % 55.77/22.71 | (122) ~ (e2 = e1) % 55.77/22.71 | % 55.77/22.71 | Equations (642) can reduce 72 to: % 55.77/22.71 | (233) ~ (e1 = e0) % 55.77/22.71 | % 55.77/22.71 +-Applying beta-rule and splitting (320), into two cases. % 55.77/22.71 |-Branch one: % 55.77/22.71 | (471) all_0_39_39 = e4 % 55.77/22.71 | % 55.77/22.71 | Equations (471) can reduce 145 to: % 55.77/22.71 | (1901) ~ (all_0_42_42 = e4) % 55.77/22.71 | % 55.77/22.72 | Simplifying 1901 yields: % 55.77/22.72 | (1890) ~ (all_0_42_42 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (471) can reduce 139 to: % 55.77/22.72 | (474) ~ (all_0_51_51 = e4) % 55.77/22.72 | % 55.77/22.72 | Simplifying 474 yields: % 55.77/22.72 | (475) ~ (all_0_51_51 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (471) can reduce 154 to: % 55.77/22.72 | (476) ~ (all_0_56_56 = e4) % 55.77/22.72 | % 55.77/22.72 | Simplifying 476 yields: % 55.77/22.72 | (477) ~ (all_0_56_56 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (471) can reduce 246 to: % 55.77/22.72 | (188) ~ (e4 = e3) % 55.77/22.72 | % 55.77/22.72 | Equations (471) can reduce 294 to: % 55.77/22.72 | (48) ~ (e4 = e2) % 55.77/22.72 | % 55.77/22.72 | Equations (471) can reduce 151 to: % 55.77/22.72 | (110) ~ (e4 = e1) % 55.77/22.72 | % 55.77/22.72 | From (471) and (182) follows: % 55.77/22.72 | (479) op(e4, e4) = all_0_2_2 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (243), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (329) all_0_38_38 = e0 % 55.77/22.72 | % 55.77/22.72 | Combining equations (292,329) yields a new equation: % 55.77/22.72 | (391) e2 = e0 % 55.77/22.72 | % 55.77/22.72 | Simplifying 391 yields: % 55.77/22.72 | (330) e2 = e0 % 55.77/22.72 | % 55.77/22.72 | Equations (330) can reduce 128 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (332) ~ (all_0_38_38 = e0) % 55.77/22.72 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (171), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (265) all_0_54_54 = e4 % 55.77/22.72 | % 55.77/22.72 | Combining equations (268,265) yields a new equation: % 55.77/22.72 | (425) e4 = e3 % 55.77/22.72 | % 55.77/22.72 | Equations (425) can reduce 188 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (258) ~ (all_0_54_54 = e4) % 55.77/22.72 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (395), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (794) all_0_41_41 = e0 % 55.77/22.72 | % 55.77/22.72 | Equations (794) can reduce 214 to: % 55.77/22.72 | (5565) ~ (all_0_42_42 = e0) % 55.77/22.72 | % 55.77/22.72 | Simplifying 5565 yields: % 55.77/22.72 | (358) ~ (all_0_42_42 = e0) % 55.77/22.72 | % 55.77/22.72 | Equations (794) can reduce 43 to: % 55.77/22.72 | (5567) ~ (all_0_46_46 = e0) % 55.77/22.72 | % 55.77/22.72 | Simplifying 5567 yields: % 55.77/22.72 | (831) ~ (all_0_46_46 = e0) % 55.77/22.72 | % 55.77/22.72 | Equations (794) can reduce 440 to: % 55.77/22.72 | (401) ~ (e4 = e0) % 55.77/22.72 | % 55.77/22.72 | Simplifying 401 yields: % 55.77/22.72 | (49) ~ (e4 = e0) % 55.77/22.72 | % 55.77/22.72 | Equations (794) can reduce 85 to: % 55.77/22.72 | (365) ~ (e2 = e0) % 55.77/22.72 | % 55.77/22.72 | Simplifying 365 yields: % 55.77/22.72 | (128) ~ (e2 = e0) % 55.77/22.72 | % 55.77/22.72 | From (794) and (219) follows: % 55.77/22.72 | (5573) op(e3, e3) = e0 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (575), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (587) all_0_55_55 = e4 % 55.77/22.72 | % 55.77/22.72 | Equations (587) can reduce 58 to: % 55.77/22.72 | (250) ~ (all_0_46_46 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (587) can reduce 93 to: % 55.77/22.72 | (566) ~ (all_0_50_50 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (587) can reduce 153 to: % 55.77/22.72 | (476) ~ (all_0_56_56 = e4) % 55.77/22.72 | % 55.77/22.72 | Simplifying 476 yields: % 55.77/22.72 | (477) ~ (all_0_56_56 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (587) can reduce 304 to: % 55.77/22.72 | (48) ~ (e4 = e2) % 55.77/22.72 | % 55.77/22.72 | From (587) and (68) follows: % 55.77/22.72 | (4717) op(e4, e0) = all_0_31_31 % 55.77/22.72 | % 55.77/22.72 | From (587) and (74) follows: % 55.77/22.72 | (589) op(e0, e3) = e4 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (216), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (629) all_0_55_55 = e1 % 55.77/22.72 | % 55.77/22.72 | Combining equations (629,587) yields a new equation: % 55.77/22.72 | (630) e4 = e1 % 55.77/22.72 | % 55.77/22.72 | Equations (630) can reduce 110 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (632) ~ (all_0_55_55 = e1) % 55.77/22.72 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (633), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (1569) all_0_56_56 = e1 % 55.77/22.72 | % 55.77/22.72 | Equations (1569) can reduce 236 to: % 55.77/22.72 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (1569) can reduce 477 to: % 55.77/22.72 | (602) ~ (e4 = e1) % 55.77/22.72 | % 55.77/22.72 | Simplifying 602 yields: % 55.77/22.72 | (110) ~ (e4 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (1569) can reduce 511 to: % 55.77/22.72 | (604) ~ (e2 = e1) % 55.77/22.72 | % 55.77/22.72 | Simplifying 604 yields: % 55.77/22.72 | (122) ~ (e2 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (1569) can reduce 828 to: % 55.77/22.72 | (233) ~ (e1 = e0) % 55.77/22.72 | % 55.77/22.72 | From (1569) and (87) follows: % 55.77/22.72 | (5145) op(e1, e2) = all_0_34_34 % 55.77/22.72 | % 55.77/22.72 | From (1569) and (127) follows: % 55.77/22.72 | (5595) op(e1, e0) = all_0_33_33 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (47), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (317) all_0_39_39 = e2 % 55.77/22.72 | % 55.77/22.72 | Combining equations (471,317) yields a new equation: % 55.77/22.72 | (322) e4 = e2 % 55.77/22.72 | % 55.77/22.72 | Simplifying 322 yields: % 55.77/22.72 | (323) e4 = e2 % 55.77/22.72 | % 55.77/22.72 | Equations (323) can reduce 48 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (294) ~ (all_0_39_39 = e2) % 55.77/22.72 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (231), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (775) all_0_50_50 = e4 % 55.77/22.72 | % 55.77/22.72 | Equations (775) can reduce 566 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (566) ~ (all_0_50_50 = e4) % 55.77/22.72 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (152), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (1392) all_0_42_42 = e4 % 55.77/22.72 | % 55.77/22.72 | Equations (1392) can reduce 1890 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (1890) ~ (all_0_42_42 = e4) % 55.77/22.72 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (18), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (453) all_0_41_41 = e1 % 55.77/22.72 | % 55.77/22.72 | Combining equations (794,453) yields a new equation: % 55.77/22.72 | (431) e1 = e0 % 55.77/22.72 | % 55.77/22.72 | Equations (431) can reduce 233 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (457) ~ (all_0_41_41 = e1) % 55.77/22.72 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (1969), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (559) all_0_42_42 = e0 % 55.77/22.72 | % 55.77/22.72 | Equations (559) can reduce 358 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (358) ~ (all_0_42_42 = e0) % 55.77/22.72 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (2510), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (459) all_0_42_42 = e1 % 55.77/22.72 | % 55.77/22.72 | Equations (459) can reduce 1380 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.72 | (516) all_0_42_42 = e3 % 55.77/22.72 | % 55.77/22.72 | Equations (516) can reduce 73 to: % 55.77/22.72 | (406) ~ (all_0_44_44 = e3) % 55.77/22.72 | % 55.77/22.72 | Simplifying 406 yields: % 55.77/22.72 | (407) ~ (all_0_44_44 = e3) % 55.77/22.72 | % 55.77/22.72 | Equations (516) can reduce 1890 to: % 55.77/22.72 | (277) ~ (e4 = e3) % 55.77/22.72 | % 55.77/22.72 | Simplifying 277 yields: % 55.77/22.72 | (188) ~ (e4 = e3) % 55.77/22.72 | % 55.77/22.72 | Equations (516) can reduce 1380 to: % 55.77/22.72 | (213) ~ (e3 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (516) can reduce 358 to: % 55.77/22.72 | (80) ~ (e3 = e0) % 55.77/22.72 | % 55.77/22.72 | From (516) and (226) follows: % 55.77/22.72 | (5629) op(e3, e3) = all_0_7_7 % 55.77/22.72 | % 55.77/22.72 | From (516) and (225) follows: % 55.77/22.72 | (4633) op(e3, e2) = all_0_8_8 % 55.77/22.72 | % 55.77/22.72 | From (516) and (210) follows: % 55.77/22.72 | (4285) op(e3, e2) = e3 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (595), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (545) all_0_46_46 = e1 % 55.77/22.72 | % 55.77/22.72 | Equations (545) can reduce 250 to: % 55.77/22.72 | (602) ~ (e4 = e1) % 55.77/22.72 | % 55.77/22.72 | Simplifying 602 yields: % 55.77/22.72 | (110) ~ (e4 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (545) can reduce 831 to: % 55.77/22.72 | (233) ~ (e1 = e0) % 55.77/22.72 | % 55.77/22.72 | From (545) and (179) follows: % 55.77/22.72 | (5636) op(e1, e2) = all_0_15_15 % 55.77/22.72 | % 55.77/22.72 | From (545) and (120) follows: % 55.77/22.72 | (2105) op(e2, e3) = e1 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (112), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (635) all_0_44_44 = e1 % 55.77/22.72 | % 55.77/22.72 | Equations (635) can reduce 143 to: % 55.77/22.72 | (132) ~ (all_0_40_40 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (635) can reduce 220 to: % 55.77/22.72 | (1458) ~ (all_0_53_53 = e1) % 55.77/22.72 | % 55.77/22.72 | Simplifying 1458 yields: % 55.77/22.72 | (1459) ~ (all_0_53_53 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (635) can reduce 407 to: % 55.77/22.72 | (467) ~ (e3 = e1) % 55.77/22.72 | % 55.77/22.72 | Simplifying 467 yields: % 55.77/22.72 | (213) ~ (e3 = e1) % 55.77/22.72 | % 55.77/22.72 | Equations (635) can reduce 147 to: % 55.77/22.72 | (604) ~ (e2 = e1) % 55.77/22.72 | % 55.77/22.72 | Simplifying 604 yields: % 55.77/22.72 | (122) ~ (e2 = e1) % 55.77/22.72 | % 55.77/22.72 | From (635) and (70) follows: % 55.77/22.72 | (2555) op(e1, e0) = all_0_12_12 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (78), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (423) all_0_45_45 = e3 % 55.77/22.72 | % 55.77/22.72 | Combining equations (248,423) yields a new equation: % 55.77/22.72 | (424) e4 = e3 % 55.77/22.72 | % 55.77/22.72 | Simplifying 424 yields: % 55.77/22.72 | (425) e4 = e3 % 55.77/22.72 | % 55.77/22.72 | Equations (425) can reduce 188 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (427) ~ (all_0_45_45 = e3) % 55.77/22.72 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (385), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (1105) all_0_47_47 = e2 % 55.77/22.72 | % 55.77/22.72 | Combining equations (674,1105) yields a new equation: % 55.77/22.72 | (330) e2 = e0 % 55.77/22.72 | % 55.77/22.72 | Equations (330) can reduce 128 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (338) ~ (all_0_47_47 = e2) % 55.77/22.72 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (1108), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (504) all_0_51_51 = e2 % 55.77/22.72 | % 55.77/22.72 | Equations (504) can reduce 6 to: % 55.77/22.72 | (508) ~ (all_0_53_53 = e2) % 55.77/22.72 | % 55.77/22.72 | Simplifying 508 yields: % 55.77/22.72 | (509) ~ (all_0_53_53 = e2) % 55.77/22.72 | % 55.77/22.72 | From (504) and (177) follows: % 55.77/22.72 | (514) op(e2, e2) = all_0_25_25 % 55.77/22.72 | % 55.77/22.72 | From (504) and (186) follows: % 55.77/22.72 | (515) op(e1, e2) = e2 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (54), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (583) all_0_49_49 = e2 % 55.77/22.72 | % 55.77/22.72 | Equations (583) can reduce 340 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (340) ~ (all_0_49_49 = e2) % 55.77/22.72 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (428), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (1557) all_0_46_46 = e3 % 55.77/22.72 | % 55.77/22.72 | Combining equations (545,1557) yields a new equation: % 55.77/22.72 | (455) e3 = e1 % 55.77/22.72 | % 55.77/22.72 | Equations (455) can reduce 213 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (409) ~ (all_0_46_46 = e3) % 55.77/22.72 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (1561), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (522) all_0_47_47 = e3 % 55.77/22.72 | % 55.77/22.72 | Combining equations (522,674) yields a new equation: % 55.77/22.72 | (675) e3 = e0 % 55.77/22.72 | % 55.77/22.72 | Simplifying 675 yields: % 55.77/22.72 | (676) e3 = e0 % 55.77/22.72 | % 55.77/22.72 | Equations (676) can reduce 80 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (1091) ~ (all_0_47_47 = e3) % 55.77/22.72 | (884) all_0_49_49 = e3 % 55.77/22.72 | % 55.77/22.72 | Equations (884) can reduce 200 to: % 55.77/22.72 | (2) ~ (all_0_40_40 = e3) % 55.77/22.72 | % 55.77/22.72 | Equations (884) can reduce 65 to: % 55.77/22.72 | (1114) ~ (all_0_53_53 = e3) % 55.77/22.72 | % 55.77/22.72 | Simplifying 1114 yields: % 55.77/22.72 | (903) ~ (all_0_53_53 = e3) % 55.77/22.72 | % 55.77/22.72 | Equations (884) can reduce 340 to: % 55.77/22.72 | (212) ~ (e3 = e2) % 55.77/22.72 | % 55.77/22.72 | From (884) and (129) follows: % 55.77/22.72 | (4740) op(e3, e2) = all_0_20_20 % 55.77/22.72 | % 55.77/22.72 | From (884) and (55) follows: % 55.77/22.72 | (1581) op(e2, e0) = e3 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (196), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (607) all_0_53_53 = e2 % 55.77/22.72 | % 55.77/22.72 | Equations (607) can reduce 509 to: % 55.77/22.72 | (266) $false % 55.77/22.72 | % 55.77/22.72 |-The branch is then unsatisfiable % 55.77/22.72 |-Branch two: % 55.77/22.72 | (509) ~ (all_0_53_53 = e2) % 55.77/22.72 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (610), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (1298) all_0_53_53 = e4 % 55.77/22.72 | % 55.77/22.72 | Equations (1298) can reduce 162 to: % 55.77/22.72 | (447) ~ (all_0_40_40 = e4) % 55.77/22.72 | % 55.77/22.72 | Equations (1298) can reduce 903 to: % 55.77/22.72 | (188) ~ (e4 = e3) % 55.77/22.72 | % 55.77/22.72 | From (1298) and (175) follows: % 55.77/22.72 | (5691) op(e4, e0) = all_0_28_28 % 55.77/22.72 | % 55.77/22.72 | From (1298) and (84) follows: % 55.77/22.72 | (5692) op(e1, e0) = e4 % 55.77/22.72 | % 55.77/22.72 +-Applying beta-rule and splitting (168), into two cases. % 55.77/22.72 |-Branch one: % 55.77/22.72 | (415) all_0_50_50 = e3 % 55.77/22.72 | % 55.77/22.72 | From (415) and (8) follows: % 55.77/22.73 | (5694) op(e3, e3) = all_0_23_23 % 55.77/22.73 | % 55.77/22.73 | From (415) and (57) follows: % 55.77/22.73 | (1933) op(e3, e1) = all_0_22_22 % 55.77/22.73 | % 55.77/22.73 +-Applying beta-rule and splitting (316), into two cases. % 55.77/22.73 |-Branch one: % 55.77/22.73 | (1378) all_0_40_40 = e4 % 55.77/22.73 | % 55.77/22.73 | Equations (1378) can reduce 447 to: % 55.77/22.73 | (266) $false % 55.77/22.73 | % 55.77/22.73 |-The branch is then unsatisfiable % 55.77/22.73 |-Branch two: % 55.77/22.73 | (447) ~ (all_0_40_40 = e4) % 55.77/22.73 | (485) all_0_40_40 = e0 % 55.77/22.73 | % 55.77/22.73 | Equations (485) can reduce 2 to: % 55.77/22.73 | (541) ~ (e3 = e0) % 55.77/22.73 | % 55.77/22.73 | Simplifying 541 yields: % 55.77/22.73 | (80) ~ (e3 = e0) % 55.77/22.73 | % 55.77/22.73 | Equations (485) can reduce 132 to: % 55.77/22.73 | (435) ~ (e1 = e0) % 55.77/22.73 | % 55.77/22.73 | Simplifying 435 yields: % 55.77/22.73 | (233) ~ (e1 = e0) % 55.77/22.73 | % 55.77/22.73 | From (485) and (34) follows: % 55.77/22.73 | (494) op(e0, e4) = all_0_4_4 % 55.77/22.73 | % 55.77/22.73 | From (485) and (234) follows: % 55.77/22.73 | (3072) op(e4, e0) = e0 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 55.77/22.73 | (496) all_0_2_2 = e1 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e4, e0, all_0_31_31, all_0_28_28 and discharging atoms op(e4, e0) = all_0_28_28, op(e4, e0) = all_0_31_31, yields: % 55.77/22.73 | (5707) all_0_28_28 = all_0_31_31 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e4, e0, e0, all_0_28_28 and discharging atoms op(e4, e0) = all_0_28_28, op(e4, e0) = e0, yields: % 55.77/22.73 | (5708) all_0_28_28 = e0 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e3, e3, all_0_23_23, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_23_23, yields: % 55.77/22.73 | (5709) all_0_7_7 = all_0_23_23 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e3, e3, e0, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e0, yields: % 55.77/22.73 | (5710) all_0_7_7 = e0 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e3, e2, all_0_20_20, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_20_20, yields: % 55.77/22.73 | (5711) all_0_8_8 = all_0_20_20 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e3, e2, e3, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = e3, yields: % 55.77/22.73 | (4675) all_0_8_8 = e3 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e3, e1, e4, all_0_22_22 and discharging atoms op(e3, e1) = all_0_22_22, op(e3, e1) = e4, yields: % 55.77/22.73 | (686) all_0_22_22 = e4 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e2, e2, e0, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = e0, yields: % 55.77/22.73 | (5156) all_0_25_25 = e0 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e1, e2, all_0_34_34, all_0_15_15 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = all_0_34_34, yields: % 55.77/22.73 | (5715) all_0_15_15 = all_0_34_34 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e1, e2, e2, all_0_15_15 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = e2, yields: % 55.77/22.73 | (1599) all_0_15_15 = e2 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e1, e0, all_0_33_33, all_0_12_12 and discharging atoms op(e1, e0) = all_0_12_12, op(e1, e0) = all_0_33_33, yields: % 55.77/22.73 | (5717) all_0_12_12 = all_0_33_33 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e1, e0, e4, all_0_12_12 and discharging atoms op(e1, e0) = all_0_12_12, op(e1, e0) = e4, yields: % 55.77/22.73 | (5718) all_0_12_12 = e4 % 55.77/22.73 | % 55.77/22.73 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 55.77/22.73 | (498) all_0_4_4 = e3 % 55.77/22.73 | % 55.77/22.73 | Combining equations (5709,5710) yields a new equation: % 55.77/22.73 | (5720) all_0_23_23 = e0 % 55.77/22.73 | % 55.77/22.73 | Simplifying 5720 yields: % 55.77/22.73 | (5721) all_0_23_23 = e0 % 55.77/22.73 | % 55.77/22.73 | Combining equations (5711,4675) yields a new equation: % 55.77/22.73 | (5722) all_0_20_20 = e3 % 55.77/22.73 | % 55.77/22.73 | Simplifying 5722 yields: % 55.77/22.73 | (4837) all_0_20_20 = e3 % 55.77/22.73 | % 55.77/22.73 | Combining equations (5717,5718) yields a new equation: % 55.77/22.73 | (5724) all_0_33_33 = e4 % 55.77/22.73 | % 55.77/22.73 | Simplifying 5724 yields: % 55.77/22.73 | (5725) all_0_33_33 = e4 % 55.77/22.73 | % 55.77/22.73 | Combining equations (5715,1599) yields a new equation: % 55.77/22.73 | (5726) all_0_34_34 = e2 % 55.77/22.73 | % 55.77/22.73 | Simplifying 5726 yields: % 55.77/22.73 | (5160) all_0_34_34 = e2 % 55.77/22.73 | % 55.77/22.73 | Combining equations (5707,5708) yields a new equation: % 55.77/22.73 | (5728) all_0_31_31 = e0 % 55.77/22.73 | % 55.77/22.73 | Simplifying 5728 yields: % 55.77/22.73 | (4836) all_0_31_31 = e0 % 55.77/22.73 | % 55.77/22.73 | From (496) and (479) follows: % 55.77/22.73 | (41) op(e4, e4) = e1 % 55.77/22.73 | % 55.77/22.73 | From (4836) and (4717) follows: % 55.77/22.73 | (3072) op(e4, e0) = e0 % 55.77/22.73 | % 55.77/22.73 | From (5721) and (5694) follows: % 55.77/22.73 | (5573) op(e3, e3) = e0 % 55.77/22.73 | % 55.77/22.73 | From (4837) and (4740) follows: % 55.77/22.73 | (4285) op(e3, e2) = e3 % 55.77/22.73 | % 55.77/22.73 | From (686) and (1933) follows: % 55.77/22.73 | (5492) op(e3, e1) = e4 % 55.77/22.73 | % 55.77/22.73 | From (5156) and (514) follows: % 55.77/22.73 | (3148) op(e2, e2) = e0 % 55.77/22.73 | % 55.77/22.73 | From (5160) and (5145) follows: % 55.77/22.73 | (515) op(e1, e2) = e2 % 55.77/22.73 | % 55.77/22.73 | From (5725) and (5595) follows: % 55.77/22.73 | (5692) op(e1, e0) = e4 % 55.77/22.73 | % 55.77/22.73 | From (498) and (494) follows: % 55.77/22.73 | (283) op(e0, e4) = e3 % 55.77/22.73 | % 55.77/22.73 +-Applying beta-rule and splitting (56), into two cases. % 55.77/22.73 |-Branch one: % 55.77/22.73 | (696) unit = e2 % 55.77/22.74 | % 55.77/22.74 | From (696) and (32) follows: % 55.77/22.74 | (698) op(e2, e2) = e2 % 55.77/22.74 | % 55.77/22.74 | From (696) and (28) follows: % 55.77/22.74 | (699) op(e1, e2) = e1 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 55.77/22.74 | (330) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.77/22.74 | (617) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (330,617) yields a new equation: % 55.77/22.74 | (431) e1 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (431) can reduce 233 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (707) ~ (unit = e2) % 55.77/22.74 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (708), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (709) unit = e4 % 55.77/22.74 | % 55.77/22.74 | From (709) and (227) follows: % 55.77/22.74 | (710) op(e4, e4) = e4 % 55.77/22.74 | % 55.77/22.74 | From (709) and (40) follows: % 55.77/22.74 | (711) op(e3, e4) = e3 % 55.77/22.74 | % 55.77/22.74 | From (709) and (32) follows: % 55.77/22.74 | (712) op(e2, e4) = e2 % 55.77/22.74 | % 55.77/22.74 | From (709) and (42) follows: % 55.77/22.74 | (713) op(e0, e4) = e0 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.77/22.74 | (630) e4 = e1 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.77/22.74 | (662) e3 = e2 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.77/22.74 | (323) e4 = e2 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.77/22.74 | (676) e3 = e0 % 55.77/22.74 | % 55.77/22.74 | Combining equations (323,630) yields a new equation: % 55.77/22.74 | (616) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Simplifying 616 yields: % 55.77/22.74 | (617) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (662,676) yields a new equation: % 55.77/22.74 | (391) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Simplifying 391 yields: % 55.77/22.74 | (330) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Combining equations (330,617) yields a new equation: % 55.77/22.74 | (431) e1 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (431) can reduce 233 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (724) ~ (unit = e4) % 55.77/22.74 | (725) unit = e3 | unit = e1 | unit = e0 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (725), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (726) unit = e0 % 55.77/22.74 | % 55.77/22.74 | From (726) and (24) follows: % 55.77/22.74 | (2208) op(e0, e3) = e3 % 55.77/22.74 | % 55.77/22.74 | From (726) and (227) follows: % 55.77/22.74 | (3205) op(e4, e0) = e4 % 55.77/22.74 | % 55.77/22.74 | From (726) and (32) follows: % 55.77/22.74 | (727) op(e2, e0) = e2 % 55.77/22.74 | % 55.77/22.74 | From (726) and (28) follows: % 55.77/22.74 | (2698) op(e1, e0) = e1 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 55.77/22.74 | (397) e4 = e0 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 55.77/22.74 | (662) e3 = e2 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 55.77/22.74 | (630) e4 = e1 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 55.77/22.74 | (425) e4 = e3 % 55.77/22.74 | % 55.77/22.74 | Combining equations (630,425) yields a new equation: % 55.77/22.74 | (455) e3 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (397,425) yields a new equation: % 55.77/22.74 | (676) e3 = e0 % 55.77/22.74 | % 55.77/22.74 | Combining equations (676,662) yields a new equation: % 55.77/22.74 | (330) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Combining equations (455,662) yields a new equation: % 55.77/22.74 | (617) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (330,617) yields a new equation: % 55.77/22.74 | (431) e1 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (431) can reduce 233 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (734) ~ (unit = e0) % 55.77/22.74 | (735) unit = e3 | unit = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (735), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (736) unit = e1 % 55.77/22.74 | % 55.77/22.74 | From (736) and (209) follows: % 55.77/22.74 | (2715) op(e1, e0) = e0 % 55.77/22.74 | % 55.77/22.74 | From (736) and (40) follows: % 55.77/22.74 | (1652) op(e3, e1) = e3 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields: % 55.77/22.74 | (425) e4 = e3 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields: % 55.77/22.74 | (397) e4 = e0 % 55.77/22.74 | % 55.77/22.74 | Combining equations (397,425) yields a new equation: % 55.77/22.74 | (676) e3 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (676) can reduce 80 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (748) ~ (unit = e1) % 55.77/22.74 | (749) unit = e3 % 55.77/22.74 | % 55.77/22.74 | From (749) and (15) follows: % 55.77/22.74 | (751) op(e3, e2) = e2 % 55.77/22.74 | % 55.77/22.74 | From (749) and (40) follows: % 55.77/22.74 | (3715) op(e3, e3) = e3 % 55.77/22.74 | % 55.77/22.74 | From (749) and (32) follows: % 55.77/22.74 | (5793) op(e2, e3) = e2 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 55.77/22.74 | (676) e3 = e0 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 55.77/22.74 | (662) e3 = e2 % 55.77/22.74 | % 55.77/22.74 | Instantiating formula (29) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 55.77/22.74 | (617) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (662,676) yields a new equation: % 55.77/22.74 | (391) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Simplifying 391 yields: % 55.77/22.74 | (330) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Combining equations (617,330) yields a new equation: % 55.77/22.74 | (546) e1 = e0 % 55.77/22.74 | % 55.77/22.74 | Simplifying 546 yields: % 55.77/22.74 | (431) e1 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (431) can reduce 233 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (411) ~ (all_0_50_50 = e3) % 55.77/22.74 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (418), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (660) all_0_51_51 = e3 % 55.77/22.74 | % 55.77/22.74 | Combining equations (504,660) yields a new equation: % 55.77/22.74 | (662) e3 = e2 % 55.77/22.74 | % 55.77/22.74 | Equations (662) can reduce 212 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (664) ~ (all_0_51_51 = e3) % 55.77/22.74 | (665) all_0_53_53 = e3 % 55.77/22.74 | % 55.77/22.74 | Combining equations (1298,665) yields a new equation: % 55.77/22.74 | (424) e4 = e3 % 55.77/22.74 | % 55.77/22.74 | Simplifying 424 yields: % 55.77/22.74 | (425) e4 = e3 % 55.77/22.74 | % 55.77/22.74 | Equations (425) can reduce 188 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (1453) ~ (all_0_53_53 = e4) % 55.77/22.74 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1694), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (1208) all_0_53_53 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (1208) can reduce 1459 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (1459) ~ (all_0_53_53 = e1) % 55.77/22.74 | (665) all_0_53_53 = e3 % 55.77/22.74 | % 55.77/22.74 | Equations (665) can reduce 903 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (1099) ~ (all_0_51_51 = e2) % 55.77/22.74 | (833) all_0_56_56 = e2 % 55.77/22.74 | % 55.77/22.74 | Combining equations (833,1569) yields a new equation: % 55.77/22.74 | (616) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Simplifying 616 yields: % 55.77/22.74 | (617) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (617) can reduce 122 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (639) ~ (all_0_44_44 = e1) % 55.77/22.74 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (103), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (453) all_0_41_41 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (794,453) yields a new equation: % 55.77/22.74 | (431) e1 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (431) can reduce 233 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (457) ~ (all_0_41_41 = e1) % 55.77/22.74 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (458), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (459) all_0_42_42 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (516,459) yields a new equation: % 55.77/22.74 | (454) e3 = e1 % 55.77/22.74 | % 55.77/22.74 | Simplifying 454 yields: % 55.77/22.74 | (455) e3 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (455) can reduce 213 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.74 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1381), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (430) all_0_43_43 = e1 % 55.77/22.74 | % 55.77/22.74 | Combining equations (396,430) yields a new equation: % 55.77/22.74 | (636) e4 = e1 % 55.77/22.74 | % 55.77/22.74 | Simplifying 636 yields: % 55.77/22.74 | (630) e4 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (630) can reduce 110 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (433) ~ (all_0_43_43 = e1) % 55.77/22.74 | (635) all_0_44_44 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (635) can reduce 639 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (549) ~ (all_0_46_46 = e1) % 55.77/22.74 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (123), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (1794) all_0_46_46 = e2 % 55.77/22.74 | % 55.77/22.74 | Equations (1794) can reduce 300 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (300) ~ (all_0_46_46 = e2) % 55.77/22.74 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (385), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (1105) all_0_47_47 = e2 % 55.77/22.74 | % 55.77/22.74 | Combining equations (674,1105) yields a new equation: % 55.77/22.74 | (330) e2 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (330) can reduce 128 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (338) ~ (all_0_47_47 = e2) % 55.77/22.74 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1797), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (770) all_0_46_46 = e4 % 55.77/22.74 | % 55.77/22.74 | Equations (770) can reduce 250 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (250) ~ (all_0_46_46 = e4) % 55.77/22.74 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (135), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (545) all_0_46_46 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (545) can reduce 549 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (549) ~ (all_0_46_46 = e1) % 55.77/22.74 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1801), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (538) all_0_46_46 = e0 % 55.77/22.74 | % 55.77/22.74 | Equations (538) can reduce 831 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (831) ~ (all_0_46_46 = e0) % 55.77/22.74 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1108), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (504) all_0_51_51 = e2 % 55.77/22.74 | % 55.77/22.74 | Equations (504) can reduce 475 to: % 55.77/22.74 | (327) ~ (e4 = e2) % 55.77/22.74 | % 55.77/22.74 | Simplifying 327 yields: % 55.77/22.74 | (48) ~ (e4 = e2) % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1838), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (545) all_0_46_46 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (545) can reduce 549 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (549) ~ (all_0_46_46 = e1) % 55.77/22.74 | (1557) all_0_46_46 = e3 % 55.77/22.74 | % 55.77/22.74 | Equations (1557) can reduce 208 to: % 55.77/22.74 | (524) ~ (all_0_49_49 = e3) % 55.77/22.74 | % 55.77/22.74 | Simplifying 524 yields: % 55.77/22.74 | (525) ~ (all_0_49_49 = e3) % 55.77/22.74 | % 55.77/22.74 | Equations (1557) can reduce 250 to: % 55.77/22.74 | (277) ~ (e4 = e3) % 55.77/22.74 | % 55.77/22.74 | Simplifying 277 yields: % 55.77/22.74 | (188) ~ (e4 = e3) % 55.77/22.74 | % 55.77/22.74 | Equations (1557) can reduce 300 to: % 55.77/22.74 | (212) ~ (e3 = e2) % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (189), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (532) all_0_44_44 = e3 % 55.77/22.74 | % 55.77/22.74 | Equations (532) can reduce 407 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (407) ~ (all_0_44_44 = e3) % 55.77/22.74 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (537), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (884) all_0_49_49 = e3 % 55.77/22.74 | % 55.77/22.74 | Equations (884) can reduce 525 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (525) ~ (all_0_49_49 = e3) % 55.77/22.74 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (887), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (665) all_0_53_53 = e3 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1071), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (1101) all_0_51_51 = e4 % 55.77/22.74 | % 55.77/22.74 | Combining equations (1101,504) yields a new equation: % 55.77/22.74 | (322) e4 = e2 % 55.77/22.74 | % 55.77/22.74 | Simplifying 322 yields: % 55.77/22.74 | (323) e4 = e2 % 55.77/22.74 | % 55.77/22.74 | Equations (323) can reduce 48 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (475) ~ (all_0_51_51 = e4) % 55.77/22.74 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 55.77/22.74 | % 55.77/22.74 +-Applying beta-rule and splitting (1294), into two cases. % 55.77/22.74 |-Branch one: % 55.77/22.74 | (565) all_0_52_52 = e4 % 55.77/22.74 | % 55.77/22.74 | Combining equations (565,642) yields a new equation: % 55.77/22.74 | (636) e4 = e1 % 55.77/22.74 | % 55.77/22.74 | Simplifying 636 yields: % 55.77/22.74 | (630) e4 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (630) can reduce 110 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (780) ~ (all_0_52_52 = e4) % 55.77/22.74 | (1298) all_0_53_53 = e4 % 55.77/22.74 | % 55.77/22.74 | Combining equations (1298,665) yields a new equation: % 55.77/22.74 | (424) e4 = e3 % 55.77/22.74 | % 55.77/22.74 | Simplifying 424 yields: % 55.77/22.74 | (425) e4 = e3 % 55.77/22.74 | % 55.77/22.74 | Equations (425) can reduce 188 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (903) ~ (all_0_53_53 = e3) % 55.77/22.74 | (795) all_0_58_58 = e3 % 55.77/22.74 | % 55.77/22.74 | Combining equations (624,795) yields a new equation: % 55.77/22.74 | (662) e3 = e2 % 55.77/22.74 | % 55.77/22.74 | Equations (662) can reduce 212 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.74 |-Branch two: % 55.77/22.74 | (1099) ~ (all_0_51_51 = e2) % 55.77/22.74 | (833) all_0_56_56 = e2 % 55.77/22.74 | % 55.77/22.74 | Combining equations (833,1569) yields a new equation: % 55.77/22.74 | (616) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Simplifying 616 yields: % 55.77/22.74 | (617) e2 = e1 % 55.77/22.74 | % 55.77/22.74 | Equations (617) can reduce 122 to: % 55.77/22.74 | (266) $false % 55.77/22.74 | % 55.77/22.74 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (466) ~ (all_0_56_56 = e1) % 55.77/22.75 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (1574), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (647) all_0_57_57 = e1 % 55.77/22.75 | % 55.77/22.75 | Combining equations (647,875) yields a new equation: % 55.77/22.75 | (546) e1 = e0 % 55.77/22.75 | % 55.77/22.75 | Simplifying 546 yields: % 55.77/22.75 | (431) e1 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (431) can reduce 233 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (1670) ~ (all_0_57_57 = e1) % 55.77/22.75 | (918) all_0_58_58 = e1 % 55.77/22.75 | % 55.77/22.75 | Combining equations (624,918) yields a new equation: % 55.77/22.75 | (616) e2 = e1 % 55.77/22.75 | % 55.77/22.75 | Simplifying 616 yields: % 55.77/22.75 | (617) e2 = e1 % 55.77/22.75 | % 55.77/22.75 | Equations (617) can reduce 122 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (763) ~ (all_0_55_55 = e4) % 55.77/22.75 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (764), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (842) all_0_56_56 = e4 % 55.77/22.75 | % 55.77/22.75 | Equations (842) can reduce 477 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (477) ~ (all_0_56_56 = e4) % 55.77/22.75 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (935), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (871) all_0_57_57 = e4 % 55.77/22.75 | % 55.77/22.75 | Combining equations (871,875) yields a new equation: % 55.77/22.75 | (481) e4 = e0 % 55.77/22.75 | % 55.77/22.75 | Simplifying 481 yields: % 55.77/22.75 | (397) e4 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (397) can reduce 49 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (839) ~ (all_0_57_57 = e4) % 55.77/22.75 | (910) all_0_58_58 = e4 % 55.77/22.75 | % 55.77/22.75 | Combining equations (624,910) yields a new equation: % 55.77/22.75 | (323) e4 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (323) can reduce 48 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (357) ~ (all_0_41_41 = e0) % 55.77/22.75 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (895), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (538) all_0_46_46 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (538) can reduce 831 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (831) ~ (all_0_46_46 = e0) % 55.77/22.75 | (858) all_0_55_55 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (858) can reduce 803 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (1377) ~ (all_0_39_39 = e4) % 55.77/22.75 | (480) all_0_39_39 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (480) can reduce 484 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (399) ~ (all_0_43_43 = e4) % 55.77/22.75 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (6374), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (356) all_0_43_43 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (356) can reduce 5470 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (5470) ~ (all_0_43_43 = e0) % 55.77/22.75 | (430) all_0_43_43 = e1 % 55.77/22.75 | % 55.77/22.75 | Equations (430) can reduce 31 to: % 55.77/22.75 | (457) ~ (all_0_41_41 = e1) % 55.77/22.75 | % 55.77/22.75 | Equations (430) can reduce 240 to: % 55.77/22.75 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.75 | % 55.77/22.75 | Equations (430) can reduce 159 to: % 55.77/22.75 | (4057) ~ (all_0_44_44 = e1) % 55.77/22.75 | % 55.77/22.75 | Simplifying 4057 yields: % 55.77/22.75 | (639) ~ (all_0_44_44 = e1) % 55.77/22.75 | % 55.77/22.75 | Equations (430) can reduce 217 to: % 55.77/22.75 | (3533) ~ (all_0_52_52 = e1) % 55.77/22.75 | % 55.77/22.75 | Simplifying 3533 yields: % 55.77/22.75 | (646) ~ (all_0_52_52 = e1) % 55.77/22.75 | % 55.77/22.75 | From (430) and (88) follows: % 55.77/22.75 | (6385) op(e1, e3) = all_0_9_9 % 55.77/22.75 | % 55.77/22.75 | From (430) and (98) follows: % 55.77/22.75 | (6386) op(e1, e1) = all_0_10_10 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (355), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (565) all_0_52_52 = e4 % 55.77/22.75 | % 55.77/22.75 | Equations (565) can reduce 101 to: % 55.77/22.75 | (566) ~ (all_0_50_50 = e4) % 55.77/22.75 | % 55.77/22.75 | Equations (565) can reduce 20 to: % 55.77/22.75 | (475) ~ (all_0_51_51 = e4) % 55.77/22.75 | % 55.77/22.75 | Equations (565) can reduce 46 to: % 55.77/22.75 | (1452) ~ (all_0_53_53 = e4) % 55.77/22.75 | % 55.77/22.75 | Simplifying 1452 yields: % 55.77/22.75 | (1453) ~ (all_0_53_53 = e4) % 55.77/22.75 | % 55.77/22.75 | From (565) and (124) follows: % 55.77/22.75 | (570) op(e1, e1) = e4 % 55.77/22.75 | % 55.77/22.75 | Instantiating formula (29) with e1, e3, all_0_9_9, all_0_50_50 and discharging atoms op(e1, e3) = all_0_9_9, op(e1, e3) = all_0_50_50, yields: % 55.77/22.75 | (6393) all_0_9_9 = all_0_50_50 % 55.77/22.75 | % 55.77/22.75 | Instantiating formula (29) with e1, e1, e4, all_0_10_10 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = e4, yields: % 55.77/22.75 | (6394) all_0_10_10 = e4 % 55.77/22.75 | % 55.77/22.75 | From (6393) and (6385) follows: % 55.77/22.75 | (242) op(e1, e3) = all_0_50_50 % 55.77/22.75 | % 55.77/22.75 | From (6394) and (6386) follows: % 55.77/22.75 | (570) op(e1, e1) = e4 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (158), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (313) all_0_40_40 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (313) can reduce 296 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (296) ~ (all_0_40_40 = e2) % 55.77/22.75 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (95), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (378) all_0_50_50 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (378) can reduce 302 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (302) ~ (all_0_50_50 = e2) % 55.77/22.75 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (47), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (317) all_0_39_39 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (317) can reduce 294 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (294) ~ (all_0_39_39 = e2) % 55.77/22.75 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (222), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (386) all_0_55_55 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (386) can reduce 304 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (304) ~ (all_0_55_55 = e2) % 55.77/22.75 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (243), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (329) all_0_38_38 = e0 % 55.77/22.75 | % 55.77/22.75 | Combining equations (292,329) yields a new equation: % 55.77/22.75 | (391) e2 = e0 % 55.77/22.75 | % 55.77/22.75 | Simplifying 391 yields: % 55.77/22.75 | (330) e2 = e0 % 55.77/22.75 | % 55.77/22.75 | Equations (330) can reduce 128 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (332) ~ (all_0_38_38 = e0) % 55.77/22.75 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (241), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (378) all_0_50_50 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (378) can reduce 302 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (302) ~ (all_0_50_50 = e2) % 55.77/22.75 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (168), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (415) all_0_50_50 = e3 % 55.77/22.75 | % 55.77/22.75 | Equations (415) can reduce 221 to: % 55.77/22.75 | (1898) ~ (all_0_41_41 = e3) % 55.77/22.75 | % 55.77/22.75 | Equations (415) can reduce 35 to: % 55.77/22.75 | (409) ~ (all_0_46_46 = e3) % 55.77/22.75 | % 55.77/22.75 | Equations (415) can reduce 59 to: % 55.77/22.75 | (1925) ~ (all_0_51_51 = e3) % 55.77/22.75 | % 55.77/22.75 | Simplifying 1925 yields: % 55.77/22.75 | (664) ~ (all_0_51_51 = e3) % 55.77/22.75 | % 55.77/22.75 | Equations (415) can reduce 190 to: % 55.77/22.75 | (1114) ~ (all_0_53_53 = e3) % 55.77/22.75 | % 55.77/22.75 | Simplifying 1114 yields: % 55.77/22.75 | (903) ~ (all_0_53_53 = e3) % 55.77/22.75 | % 55.77/22.75 | Equations (415) can reduce 93 to: % 55.77/22.75 | (269) ~ (all_0_55_55 = e3) % 55.77/22.75 | % 55.77/22.75 | Simplifying 269 yields: % 55.77/22.75 | (270) ~ (all_0_55_55 = e3) % 55.77/22.75 | % 55.77/22.75 | Equations (415) can reduce 121 to: % 55.77/22.75 | (80) ~ (e3 = e0) % 55.77/22.75 | % 55.77/22.75 | From (415) and (8) follows: % 55.77/22.75 | (5694) op(e3, e3) = all_0_23_23 % 55.77/22.75 | % 55.77/22.75 | From (415) and (242) follows: % 55.77/22.75 | (1934) op(e1, e3) = e3 % 55.77/22.75 | % 55.77/22.75 | Instantiating formula (29) with e3, e3, all_0_23_23, all_0_41_41 and discharging atoms op(e3, e3) = all_0_23_23, op(e3, e3) = all_0_41_41, yields: % 55.77/22.75 | (6435) all_0_23_23 = all_0_41_41 % 55.77/22.75 | % 55.77/22.75 | From (6435) and (5694) follows: % 55.77/22.75 | (219) op(e3, e3) = all_0_41_41 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (113), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (403) all_0_41_41 = e3 % 55.77/22.75 | % 55.77/22.75 | Equations (403) can reduce 1898 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (1898) ~ (all_0_41_41 = e3) % 55.77/22.75 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (7), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (504) all_0_51_51 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (504) can reduce 139 to: % 55.77/22.75 | (294) ~ (all_0_39_39 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (504) can reduce 61 to: % 55.77/22.75 | (51) ~ (all_0_42_42 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (504) can reduce 224 to: % 55.77/22.75 | (338) ~ (all_0_47_47 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (504) can reduce 6 to: % 55.77/22.75 | (508) ~ (all_0_53_53 = e2) % 55.77/22.75 | % 55.77/22.75 | Simplifying 508 yields: % 55.77/22.75 | (509) ~ (all_0_53_53 = e2) % 55.77/22.75 | % 55.77/22.75 | From (504) and (177) follows: % 55.77/22.75 | (514) op(e2, e2) = all_0_25_25 % 55.77/22.75 | % 55.77/22.75 | From (504) and (186) follows: % 55.77/22.75 | (515) op(e1, e2) = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (196), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (607) all_0_53_53 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (607) can reduce 509 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (509) ~ (all_0_53_53 = e2) % 55.77/22.75 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (377), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (583) all_0_49_49 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (583) can reduce 340 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (340) ~ (all_0_49_49 = e2) % 55.77/22.75 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (610), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (1298) all_0_53_53 = e4 % 55.77/22.75 | % 55.77/22.75 | Equations (1298) can reduce 1453 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (1453) ~ (all_0_53_53 = e4) % 55.77/22.75 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (614), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (607) all_0_53_53 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (607) can reduce 509 to: % 55.77/22.75 | (266) $false % 55.77/22.75 | % 55.77/22.75 |-The branch is then unsatisfiable % 55.77/22.75 |-Branch two: % 55.77/22.75 | (509) ~ (all_0_53_53 = e2) % 55.77/22.75 | (624) all_0_58_58 = e2 % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 178 to: % 55.77/22.75 | (296) ~ (all_0_40_40 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 119 to: % 55.77/22.75 | (340) ~ (all_0_49_49 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 10 to: % 55.77/22.75 | (509) ~ (all_0_53_53 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 3 to: % 55.77/22.75 | (304) ~ (all_0_55_55 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 44 to: % 55.77/22.75 | (511) ~ (all_0_56_56 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 276 to: % 55.77/22.75 | (626) ~ (e3 = e2) % 55.77/22.75 | % 55.77/22.75 | Simplifying 626 yields: % 55.77/22.75 | (212) ~ (e3 = e2) % 55.77/22.75 | % 55.77/22.75 | Equations (624) can reduce 491 to: % 55.77/22.75 | (128) ~ (e2 = e0) % 55.77/22.75 | % 55.77/22.75 | From (624) and (245) follows: % 55.77/22.75 | (628) op(e0, e0) = e2 % 55.77/22.75 | % 55.77/22.75 +-Applying beta-rule and splitting (1694), into two cases. % 55.77/22.75 |-Branch one: % 55.77/22.75 | (1208) all_0_53_53 = e1 % 55.77/22.75 | % 55.77/22.75 | Equations (1208) can reduce 162 to: % 55.77/22.75 | (132) ~ (all_0_40_40 = e1) % 55.77/22.75 | % 55.77/22.75 | Equations (1208) can reduce 220 to: % 55.77/22.75 | (639) ~ (all_0_44_44 = e1) % 55.77/22.75 | % 55.77/22.75 | Equations (1208) can reduce 65 to: % 55.77/22.75 | (1064) ~ (all_0_49_49 = e1) % 55.77/22.76 | % 55.77/22.76 | Equations (1208) can reduce 509 to: % 55.77/22.76 | (604) ~ (e2 = e1) % 55.77/22.76 | % 55.77/22.76 | Simplifying 604 yields: % 55.77/22.76 | (122) ~ (e2 = e1) % 55.77/22.76 | % 55.77/22.76 | Equations (1208) can reduce 247 to: % 55.77/22.76 | (233) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 | From (1208) and (92) follows: % 55.77/22.76 | (2152) op(e1, e1) = all_0_27_27 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e2, e2, all_0_25_25, all_0_47_47 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = all_0_47_47, yields: % 55.77/22.76 | (6482) all_0_25_25 = all_0_47_47 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e1, e1, all_0_27_27, e4 and discharging atoms op(e1, e1) = all_0_27_27, op(e1, e1) = e4, yields: % 55.77/22.76 | (2161) all_0_27_27 = e4 % 55.77/22.76 | % 55.77/22.76 | From (6482) and (514) follows: % 55.77/22.76 | (23) op(e2, e2) = all_0_47_47 % 55.77/22.76 | % 55.77/22.76 | From (2161) and (2152) follows: % 55.77/22.76 | (570) op(e1, e1) = e4 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (18), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (453) all_0_41_41 = e1 % 55.77/22.76 | % 55.77/22.76 | Equations (453) can reduce 457 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (457) ~ (all_0_41_41 = e1) % 55.77/22.76 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (180), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (516) all_0_42_42 = e3 % 55.77/22.76 | % 55.77/22.76 | Equations (516) can reduce 145 to: % 55.77/22.76 | (246) ~ (all_0_39_39 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (516) can reduce 214 to: % 55.77/22.76 | (1898) ~ (all_0_41_41 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (516) can reduce 73 to: % 55.77/22.76 | (406) ~ (all_0_44_44 = e3) % 55.77/22.76 | % 55.77/22.76 | Simplifying 406 yields: % 55.77/22.76 | (407) ~ (all_0_44_44 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (516) can reduce 236 to: % 55.77/22.76 | (271) ~ (all_0_56_56 = e3) % 55.77/22.76 | % 55.77/22.76 | Simplifying 271 yields: % 55.77/22.76 | (272) ~ (all_0_56_56 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (516) can reduce 51 to: % 55.77/22.76 | (212) ~ (e3 = e2) % 55.77/22.76 | % 55.77/22.76 | Equations (516) can reduce 1380 to: % 55.77/22.76 | (213) ~ (e3 = e1) % 55.77/22.76 | % 55.77/22.76 | From (516) and (210) follows: % 55.77/22.76 | (4285) op(e3, e2) = e3 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (189), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (532) all_0_44_44 = e3 % 55.77/22.76 | % 55.77/22.76 | Equations (532) can reduce 407 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (407) ~ (all_0_44_44 = e3) % 55.77/22.76 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (537), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (884) all_0_49_49 = e3 % 55.77/22.76 | % 55.77/22.76 | Equations (884) can reduce 200 to: % 55.77/22.76 | (2) ~ (all_0_40_40 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (884) can reduce 9 to: % 55.77/22.76 | (407) ~ (all_0_44_44 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (884) can reduce 208 to: % 55.77/22.76 | (409) ~ (all_0_46_46 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (884) can reduce 86 to: % 55.77/22.76 | (1091) ~ (all_0_47_47 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (884) can reduce 256 to: % 55.77/22.76 | (277) ~ (e4 = e3) % 55.77/22.76 | % 55.77/22.76 | Simplifying 277 yields: % 55.77/22.76 | (188) ~ (e4 = e3) % 55.77/22.76 | % 55.77/22.76 | Equations (884) can reduce 1064 to: % 55.77/22.76 | (213) ~ (e3 = e1) % 55.77/22.76 | % 55.77/22.76 | From (884) and (55) follows: % 55.77/22.76 | (1581) op(e2, e0) = e3 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (184), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (538) all_0_46_46 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (538) can reduce 43 to: % 55.77/22.76 | (357) ~ (all_0_41_41 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (538) can reduce 19 to: % 55.77/22.76 | (1402) ~ (all_0_47_47 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 1402 yields: % 55.77/22.76 | (678) ~ (all_0_47_47 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (538) can reduce 250 to: % 55.77/22.76 | (401) ~ (e4 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 401 yields: % 55.77/22.76 | (49) ~ (e4 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (538) can reduce 409 to: % 55.77/22.76 | (541) ~ (e3 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 541 yields: % 55.77/22.76 | (80) ~ (e3 = e0) % 55.77/22.76 | % 55.77/22.76 | From (538) and (120) follows: % 55.77/22.76 | (544) op(e2, e3) = e0 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (104), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (480) all_0_39_39 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (480) can reduce 176 to: % 55.77/22.76 | (1400) ~ (all_0_40_40 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 1400 yields: % 55.77/22.76 | (1401) ~ (all_0_40_40 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (480) can reduce 79 to: % 55.77/22.76 | (1402) ~ (all_0_47_47 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 1402 yields: % 55.77/22.76 | (678) ~ (all_0_47_47 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (480) can reduce 246 to: % 55.77/22.76 | (541) ~ (e3 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 541 yields: % 55.77/22.76 | (80) ~ (e3 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (480) can reduce 294 to: % 55.77/22.76 | (365) ~ (e2 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 365 yields: % 55.77/22.76 | (128) ~ (e2 = e0) % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (164), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (471) all_0_39_39 = e4 % 55.77/22.76 | % 55.77/22.76 | Combining equations (471,480) yields a new equation: % 55.77/22.76 | (481) e4 = e0 % 55.77/22.76 | % 55.77/22.76 | Simplifying 481 yields: % 55.77/22.76 | (397) e4 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (397) can reduce 49 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (1377) ~ (all_0_39_39 = e4) % 55.77/22.76 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 55.77/22.76 | % 55.77/22.76 | Equations (480) can reduce 1377 to: % 55.77/22.76 | (401) ~ (e4 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 401 yields: % 55.77/22.76 | (49) ~ (e4 = e0) % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (2115), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (1392) all_0_42_42 = e4 % 55.77/22.76 | % 55.77/22.76 | Combining equations (1392,516) yields a new equation: % 55.77/22.76 | (424) e4 = e3 % 55.77/22.76 | % 55.77/22.76 | Simplifying 424 yields: % 55.77/22.76 | (425) e4 = e3 % 55.77/22.76 | % 55.77/22.76 | Equations (425) can reduce 188 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (1890) ~ (all_0_42_42 = e4) % 55.77/22.76 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (2246), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (1790) all_0_47_47 = e4 % 55.77/22.76 | % 55.77/22.76 | Equations (1790) can reduce 252 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (252) ~ (all_0_47_47 = e4) % 55.77/22.76 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (75), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (485) all_0_40_40 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (485) can reduce 1401 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (1401) ~ (all_0_40_40 = e0) % 55.77/22.76 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (1748), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (1414) all_0_44_44 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (1414) can reduce 149 to: % 55.77/22.76 | (357) ~ (all_0_41_41 = e0) % 55.77/22.76 | % 55.77/22.76 | Equations (1414) can reduce 639 to: % 55.77/22.76 | (435) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 435 yields: % 55.77/22.76 | (233) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (326), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (471) all_0_39_39 = e4 % 55.77/22.76 | % 55.77/22.76 | Combining equations (471,480) yields a new equation: % 55.77/22.76 | (481) e4 = e0 % 55.77/22.76 | % 55.77/22.76 | Simplifying 481 yields: % 55.77/22.76 | (397) e4 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (397) can reduce 49 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (1377) ~ (all_0_39_39 = e4) % 55.77/22.76 | (1378) all_0_40_40 = e4 % 55.77/22.76 | % 55.77/22.76 | Equations (1378) can reduce 296 to: % 55.77/22.76 | (48) ~ (e4 = e2) % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (27), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (437) all_0_41_41 = e4 % 55.77/22.76 | % 55.77/22.76 | Equations (437) can reduce 85 to: % 55.77/22.76 | (48) ~ (e4 = e2) % 55.77/22.76 | % 55.77/22.76 | Equations (437) can reduce 457 to: % 55.77/22.76 | (110) ~ (e4 = e1) % 55.77/22.76 | % 55.77/22.76 | From (437) and (219) follows: % 55.77/22.76 | (1913) op(e3, e3) = e4 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (135), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (545) all_0_46_46 = e1 % 55.77/22.76 | % 55.77/22.76 | Combining equations (538,545) yields a new equation: % 55.77/22.76 | (431) e1 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (431) can reduce 233 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (549) ~ (all_0_46_46 = e1) % 55.77/22.76 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 55.77/22.76 | % 55.77/22.76 | Equations (538) can reduce 549 to: % 55.77/22.76 | (435) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 | Simplifying 435 yields: % 55.77/22.76 | (233) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (6548), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (1101) all_0_51_51 = e4 % 55.77/22.76 | % 55.77/22.76 | Combining equations (504,1101) yields a new equation: % 55.77/22.76 | (323) e4 = e2 % 55.77/22.76 | % 55.77/22.76 | Equations (323) can reduce 48 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (475) ~ (all_0_51_51 = e4) % 55.77/22.76 | (842) all_0_56_56 = e4 % 55.77/22.76 | % 55.77/22.76 | Equations (842) can reduce 91 to: % 55.77/22.76 | (252) ~ (all_0_47_47 = e4) % 55.77/22.76 | % 55.77/22.76 | From (842) and (111) follows: % 55.77/22.76 | (2154) op(e0, e2) = e4 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (105), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (1105) all_0_47_47 = e2 % 55.77/22.76 | % 55.77/22.76 | Equations (1105) can reduce 338 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (338) ~ (all_0_47_47 = e2) % 55.77/22.76 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (216), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (629) all_0_55_55 = e1 % 55.77/22.76 | % 55.77/22.76 | From (629) and (74) follows: % 55.77/22.76 | (6587) op(e0, e3) = e1 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (550), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (654) all_0_47_47 = e1 % 55.77/22.76 | % 55.77/22.76 | Equations (654) can reduce 338 to: % 55.77/22.76 | (604) ~ (e2 = e1) % 55.77/22.76 | % 55.77/22.76 | Simplifying 604 yields: % 55.77/22.76 | (122) ~ (e2 = e1) % 55.77/22.76 | % 55.77/22.76 | Equations (654) can reduce 678 to: % 55.77/22.76 | (233) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (56), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (696) unit = e2 % 55.77/22.76 | % 55.77/22.76 | From (696) and (28) follows: % 55.77/22.76 | (699) op(e1, e2) = e1 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 55.77/22.76 | (617) e2 = e1 % 55.77/22.76 | % 55.77/22.76 | Equations (617) can reduce 122 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (707) ~ (unit = e2) % 55.77/22.76 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (708), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (709) unit = e4 % 55.77/22.76 | % 55.77/22.76 | From (709) and (227) follows: % 55.77/22.76 | (710) op(e4, e4) = e4 % 55.77/22.76 | % 55.77/22.76 | From (709) and (40) follows: % 55.77/22.76 | (711) op(e3, e4) = e3 % 55.77/22.76 | % 55.77/22.76 | From (709) and (32) follows: % 55.77/22.76 | (712) op(e2, e4) = e2 % 55.77/22.76 | % 55.77/22.76 | From (709) and (42) follows: % 55.77/22.76 | (713) op(e0, e4) = e0 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 55.77/22.76 | (630) e4 = e1 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 55.77/22.76 | (662) e3 = e2 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 55.77/22.76 | (323) e4 = e2 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 55.77/22.76 | (676) e3 = e0 % 55.77/22.76 | % 55.77/22.76 | Combining equations (630,323) yields a new equation: % 55.77/22.76 | (617) e2 = e1 % 55.77/22.76 | % 55.77/22.76 | Combining equations (662,676) yields a new equation: % 55.77/22.76 | (391) e2 = e0 % 55.77/22.76 | % 55.77/22.76 | Simplifying 391 yields: % 55.77/22.76 | (330) e2 = e0 % 55.77/22.76 | % 55.77/22.76 | Combining equations (617,330) yields a new equation: % 55.77/22.76 | (546) e1 = e0 % 55.77/22.76 | % 55.77/22.76 | Simplifying 546 yields: % 55.77/22.76 | (431) e1 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (431) can reduce 233 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (724) ~ (unit = e4) % 55.77/22.76 | (725) unit = e3 | unit = e1 | unit = e0 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (725), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (726) unit = e0 % 55.77/22.76 | % 55.77/22.76 | From (726) and (244) follows: % 55.77/22.76 | (2207) op(e0, e4) = e4 % 55.77/22.76 | % 55.77/22.76 | From (726) and (24) follows: % 55.77/22.76 | (2208) op(e0, e3) = e3 % 55.77/22.76 | % 55.77/22.76 | From (726) and (15) follows: % 55.77/22.76 | (1508) op(e0, e2) = e2 % 55.77/22.76 | % 55.77/22.76 | From (726) and (42) follows: % 55.77/22.76 | (728) op(e0, e0) = e0 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 55.77/22.76 | (425) e4 = e3 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 55.77/22.76 | (455) e3 = e1 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 55.77/22.76 | (323) e4 = e2 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 55.77/22.76 | (330) e2 = e0 % 55.77/22.76 | % 55.77/22.76 | Combining equations (323,425) yields a new equation: % 55.77/22.76 | (662) e3 = e2 % 55.77/22.76 | % 55.77/22.76 | Combining equations (662,455) yields a new equation: % 55.77/22.76 | (616) e2 = e1 % 55.77/22.76 | % 55.77/22.76 | Simplifying 616 yields: % 55.77/22.76 | (617) e2 = e1 % 55.77/22.76 | % 55.77/22.76 | Combining equations (617,330) yields a new equation: % 55.77/22.76 | (546) e1 = e0 % 55.77/22.76 | % 55.77/22.76 | Simplifying 546 yields: % 55.77/22.76 | (431) e1 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (431) can reduce 233 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (734) ~ (unit = e0) % 55.77/22.76 | (735) unit = e3 | unit = e1 % 55.77/22.76 | % 55.77/22.76 +-Applying beta-rule and splitting (735), into two cases. % 55.77/22.76 |-Branch one: % 55.77/22.76 | (736) unit = e1 % 55.77/22.76 | % 55.77/22.76 | Equations (736) can reduce 734 to: % 55.77/22.76 | (233) ~ (e1 = e0) % 55.77/22.76 | % 55.77/22.76 | From (736) and (244) follows: % 55.77/22.76 | (738) op(e1, e4) = e4 % 55.77/22.76 | % 55.77/22.76 | From (736) and (28) follows: % 55.77/22.76 | (740) op(e1, e1) = e1 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 55.77/22.76 | (397) e4 = e0 % 55.77/22.76 | % 55.77/22.76 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 55.77/22.76 | (630) e4 = e1 % 55.77/22.76 | % 55.77/22.76 | Combining equations (397,630) yields a new equation: % 55.77/22.76 | (431) e1 = e0 % 55.77/22.76 | % 55.77/22.76 | Equations (431) can reduce 233 to: % 55.77/22.76 | (266) $false % 55.77/22.76 | % 55.77/22.76 |-The branch is then unsatisfiable % 55.77/22.76 |-Branch two: % 55.77/22.76 | (748) ~ (unit = e1) % 55.77/22.76 | (749) unit = e3 % 55.77/22.76 | % 55.77/22.76 | From (749) and (244) follows: % 55.77/22.77 | (750) op(e3, e4) = e4 % 55.77/22.77 | % 55.77/22.77 | From (749) and (40) follows: % 55.77/22.77 | (3715) op(e3, e3) = e3 % 55.77/22.77 | % 55.77/22.77 | From (749) and (32) follows: % 55.77/22.77 | (5793) op(e2, e3) = e2 % 55.77/22.77 | % 55.77/22.77 | From (749) and (28) follows: % 55.77/22.77 | (2235) op(e1, e3) = e1 % 55.77/22.77 | % 55.77/22.77 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 55.77/22.77 | (323) e4 = e2 % 55.77/22.77 | % 55.77/22.77 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 55.77/22.77 | (425) e4 = e3 % 55.77/22.77 | % 55.77/22.77 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 55.77/22.77 | (330) e2 = e0 % 55.77/22.77 | % 55.77/22.77 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 55.77/22.77 | (455) e3 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (323,425) yields a new equation: % 55.77/22.77 | (662) e3 = e2 % 55.77/22.77 | % 55.77/22.77 | Combining equations (662,455) yields a new equation: % 55.77/22.77 | (616) e2 = e1 % 55.77/22.77 | % 55.77/22.77 | Simplifying 616 yields: % 55.77/22.77 | (617) e2 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (617,330) yields a new equation: % 55.77/22.77 | (546) e1 = e0 % 55.77/22.77 | % 55.77/22.77 | Simplifying 546 yields: % 55.77/22.77 | (431) e1 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (431) can reduce 233 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (462) ~ (all_0_47_47 = e1) % 55.77/22.77 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1789), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (1790) all_0_47_47 = e4 % 55.77/22.77 | % 55.77/22.77 | Equations (1790) can reduce 252 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (252) ~ (all_0_47_47 = e4) % 55.77/22.77 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1793), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (674) all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (674) can reduce 678 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (678) ~ (all_0_47_47 = e0) % 55.77/22.77 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1831), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (654) all_0_47_47 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (654) can reduce 462 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (462) ~ (all_0_47_47 = e1) % 55.77/22.77 | (522) all_0_47_47 = e3 % 55.77/22.77 | % 55.77/22.77 | Equations (522) can reduce 1091 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (632) ~ (all_0_55_55 = e1) % 55.77/22.77 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (633), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (1569) all_0_56_56 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (1569,842) yields a new equation: % 55.77/22.77 | (630) e4 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (630) can reduce 110 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (466) ~ (all_0_56_56 = e1) % 55.77/22.77 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1574), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (647) all_0_57_57 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (875,647) yields a new equation: % 55.77/22.77 | (431) e1 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (431) can reduce 233 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (1670) ~ (all_0_57_57 = e1) % 55.77/22.77 | (918) all_0_58_58 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (918,624) yields a new equation: % 55.77/22.77 | (617) e2 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (617) can reduce 122 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (440) ~ (all_0_41_41 = e4) % 55.77/22.77 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (4049), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (794) all_0_41_41 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (794) can reduce 357 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (357) ~ (all_0_41_41 = e0) % 55.77/22.77 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (6548), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (1101) all_0_51_51 = e4 % 55.77/22.77 | % 55.77/22.77 | Combining equations (504,1101) yields a new equation: % 55.77/22.77 | (323) e4 = e2 % 55.77/22.77 | % 55.77/22.77 | Equations (323) can reduce 48 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (475) ~ (all_0_51_51 = e4) % 55.77/22.77 | (842) all_0_56_56 = e4 % 55.77/22.77 | % 55.77/22.77 | Equations (842) can reduce 91 to: % 55.77/22.77 | (252) ~ (all_0_47_47 = e4) % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (131), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (459) all_0_42_42 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (459,516) yields a new equation: % 55.77/22.77 | (455) e3 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (455) can reduce 213 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.77 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (216), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (629) all_0_55_55 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (629) can reduce 191 to: % 55.77/22.77 | (457) ~ (all_0_41_41 = e1) % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (4053), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (453) all_0_41_41 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (453) can reduce 457 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (457) ~ (all_0_41_41 = e1) % 55.77/22.77 | (403) all_0_41_41 = e3 % 55.77/22.77 | % 55.77/22.77 | Equations (403) can reduce 1898 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (632) ~ (all_0_55_55 = e1) % 55.77/22.77 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (3259), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (654) all_0_47_47 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (654) can reduce 1091 to: % 55.77/22.77 | (467) ~ (e3 = e1) % 55.77/22.77 | % 55.77/22.77 | Simplifying 467 yields: % 55.77/22.77 | (213) ~ (e3 = e1) % 55.77/22.77 | % 55.77/22.77 | Equations (654) can reduce 678 to: % 55.77/22.77 | (233) ~ (e1 = e0) % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (595), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (545) all_0_46_46 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (538,545) yields a new equation: % 55.77/22.77 | (431) e1 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (431) can reduce 233 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (549) ~ (all_0_46_46 = e1) % 55.77/22.77 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (600), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (601) all_0_50_50 = e1 % 55.77/22.77 | % 55.77/22.77 | Combining equations (415,601) yields a new equation: % 55.77/22.77 | (454) e3 = e1 % 55.77/22.77 | % 55.77/22.77 | Simplifying 454 yields: % 55.77/22.77 | (455) e3 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (455) can reduce 213 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (759) ~ (all_0_50_50 = e1) % 55.77/22.77 | (629) all_0_55_55 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (629) can reduce 632 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (462) ~ (all_0_47_47 = e1) % 55.77/22.77 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (105), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (1105) all_0_47_47 = e2 % 55.77/22.77 | % 55.77/22.77 | Equations (1105) can reduce 338 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (338) ~ (all_0_47_47 = e2) % 55.77/22.77 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1789), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (1790) all_0_47_47 = e4 % 55.77/22.77 | % 55.77/22.77 | Equations (1790) can reduce 252 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (252) ~ (all_0_47_47 = e4) % 55.77/22.77 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1793), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (674) all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (674) can reduce 678 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (678) ~ (all_0_47_47 = e0) % 55.77/22.77 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1831), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (654) all_0_47_47 = e1 % 55.77/22.77 | % 55.77/22.77 | Equations (654) can reduce 462 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (462) ~ (all_0_47_47 = e1) % 55.77/22.77 | (522) all_0_47_47 = e3 % 55.77/22.77 | % 55.77/22.77 | Equations (522) can reduce 1091 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (360) ~ (all_0_44_44 = e0) % 55.77/22.77 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (1760), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (978) all_0_49_49 = e0 % 55.77/22.77 | % 55.77/22.77 | Combining equations (884,978) yields a new equation: % 55.77/22.77 | (675) e3 = e0 % 55.77/22.77 | % 55.77/22.77 | Simplifying 675 yields: % 55.77/22.77 | (676) e3 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (676) can reduce 80 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (487) ~ (all_0_49_49 = e0) % 55.77/22.77 | (914) all_0_58_58 = e0 % 55.77/22.77 | % 55.77/22.77 | Combining equations (914,624) yields a new equation: % 55.77/22.77 | (330) e2 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (330) can reduce 128 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (484) ~ (all_0_39_39 = e0) % 55.77/22.77 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (165), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (794) all_0_41_41 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (794) can reduce 357 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (357) ~ (all_0_41_41 = e0) % 55.77/22.77 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (6761), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (559) all_0_42_42 = e0 % 55.77/22.77 | % 55.77/22.77 | Combining equations (559,516) yields a new equation: % 55.77/22.77 | (676) e3 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (676) can reduce 80 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (358) ~ (all_0_42_42 = e0) % 55.77/22.77 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (516) can reduce 358 to: % 55.77/22.77 | (80) ~ (e3 = e0) % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (558), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (559) all_0_42_42 = e0 % 55.77/22.77 | % 55.77/22.77 | Combining equations (559,516) yields a new equation: % 55.77/22.77 | (676) e3 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (676) can reduce 80 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (358) ~ (all_0_42_42 = e0) % 55.77/22.77 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (563), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (674) all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (674) can reduce 678 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (678) ~ (all_0_47_47 = e0) % 55.77/22.77 | (679) all_0_56_56 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (679) can reduce 828 to: % 55.77/22.77 | (266) $false % 55.77/22.77 | % 55.77/22.77 |-The branch is then unsatisfiable % 55.77/22.77 |-Branch two: % 55.77/22.77 | (831) ~ (all_0_46_46 = e0) % 55.77/22.77 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 55.77/22.77 | % 55.77/22.77 +-Applying beta-rule and splitting (832), into two cases. % 55.77/22.77 |-Branch one: % 55.77/22.77 | (674) all_0_47_47 = e0 % 55.77/22.77 | % 55.77/22.77 | Equations (674) can reduce 79 to: % 55.77/22.77 | (484) ~ (all_0_39_39 = e0) % 55.77/22.77 | % 55.77/22.77 | Equations (674) can reduce 91 to: % 55.77/22.77 | (1181) ~ (all_0_56_56 = e0) % 55.77/22.77 | % 55.77/22.77 | Simplifying 1181 yields: % 55.77/22.77 | (828) ~ (all_0_56_56 = e0) % 55.77/22.77 | % 55.77/22.77 | From (674) and (23) follows: % 55.77/22.77 | (3148) op(e2, e2) = e0 % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (333), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (480) all_0_39_39 = e0 % 55.77/22.78 | % 55.77/22.78 | Equations (480) can reduce 484 to: % 55.77/22.78 | (266) $false % 55.77/22.78 | % 55.77/22.78 |-The branch is then unsatisfiable % 55.77/22.78 |-Branch two: % 55.77/22.78 | (484) ~ (all_0_39_39 = e0) % 55.77/22.78 | (485) all_0_40_40 = e0 % 55.77/22.78 | % 55.77/22.78 | Equations (485) can reduce 176 to: % 55.77/22.78 | (484) ~ (all_0_39_39 = e0) % 55.77/22.78 | % 55.77/22.78 | Equations (485) can reduce 143 to: % 55.77/22.78 | (359) ~ (all_0_44_44 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 359 yields: % 55.77/22.78 | (360) ~ (all_0_44_44 = e0) % 55.77/22.78 | % 55.77/22.78 | Equations (485) can reduce 2 to: % 55.77/22.78 | (541) ~ (e3 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 541 yields: % 55.77/22.78 | (80) ~ (e3 = e0) % 55.77/22.78 | % 55.77/22.78 | Equations (485) can reduce 132 to: % 55.77/22.78 | (435) ~ (e1 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 435 yields: % 55.77/22.78 | (233) ~ (e1 = e0) % 55.77/22.78 | % 55.77/22.78 | From (485) and (234) follows: % 55.77/22.78 | (3072) op(e4, e0) = e0 % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (26), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (446) all_0_44_44 = e4 % 55.77/22.78 | % 55.77/22.78 | Equations (446) can reduce 149 to: % 55.77/22.78 | (440) ~ (all_0_41_41 = e4) % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (165), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (794) all_0_41_41 = e0 % 55.77/22.78 | % 55.77/22.78 | Equations (794) can reduce 43 to: % 55.77/22.78 | (5567) ~ (all_0_46_46 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 5567 yields: % 55.77/22.78 | (831) ~ (all_0_46_46 = e0) % 55.77/22.78 | % 55.77/22.78 | Equations (794) can reduce 191 to: % 55.77/22.78 | (4444) ~ (all_0_55_55 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 4444 yields: % 55.77/22.78 | (803) ~ (all_0_55_55 = e0) % 55.77/22.78 | % 55.77/22.78 | Equations (794) can reduce 440 to: % 55.77/22.78 | (401) ~ (e4 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 401 yields: % 55.77/22.78 | (49) ~ (e4 = e0) % 55.77/22.78 | % 55.77/22.78 | Equations (794) can reduce 457 to: % 55.77/22.78 | (435) ~ (e1 = e0) % 55.77/22.78 | % 55.77/22.78 | Simplifying 435 yields: % 55.77/22.78 | (233) ~ (e1 = e0) % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (131), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (459) all_0_42_42 = e1 % 55.77/22.78 | % 55.77/22.78 | Combining equations (459,516) yields a new equation: % 55.77/22.78 | (455) e3 = e1 % 55.77/22.78 | % 55.77/22.78 | Equations (455) can reduce 213 to: % 55.77/22.78 | (266) $false % 55.77/22.78 | % 55.77/22.78 |-The branch is then unsatisfiable % 55.77/22.78 |-Branch two: % 55.77/22.78 | (1380) ~ (all_0_42_42 = e1) % 55.77/22.78 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (123), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (1794) all_0_46_46 = e2 % 55.77/22.78 | % 55.77/22.78 | Equations (1794) can reduce 300 to: % 55.77/22.78 | (266) $false % 55.77/22.78 | % 55.77/22.78 |-The branch is then unsatisfiable % 55.77/22.78 |-Branch two: % 55.77/22.78 | (300) ~ (all_0_46_46 = e2) % 55.77/22.78 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (135), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (545) all_0_46_46 = e1 % 55.77/22.78 | % 55.77/22.78 | Equations (545) can reduce 300 to: % 55.77/22.78 | (604) ~ (e2 = e1) % 55.77/22.78 | % 55.77/22.78 | Simplifying 604 yields: % 55.77/22.78 | (122) ~ (e2 = e1) % 55.77/22.78 | % 55.77/22.78 | Equations (545) can reduce 831 to: % 55.77/22.78 | (233) ~ (e1 = e0) % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (174), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (386) all_0_55_55 = e2 % 55.77/22.78 | % 55.77/22.78 | Equations (386) can reduce 304 to: % 55.77/22.78 | (266) $false % 55.77/22.78 | % 55.77/22.78 |-The branch is then unsatisfiable % 55.77/22.78 |-Branch two: % 55.77/22.78 | (304) ~ (all_0_55_55 = e2) % 55.77/22.78 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (3259), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (654) all_0_47_47 = e1 % 55.77/22.78 | % 55.77/22.78 | Combining equations (674,654) yields a new equation: % 55.77/22.78 | (431) e1 = e0 % 55.77/22.78 | % 55.77/22.78 | Equations (431) can reduce 233 to: % 55.77/22.78 | (266) $false % 55.77/22.78 | % 55.77/22.78 |-The branch is then unsatisfiable % 55.77/22.78 |-Branch two: % 55.77/22.78 | (462) ~ (all_0_47_47 = e1) % 55.77/22.78 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 55.77/22.78 | % 55.77/22.78 +-Applying beta-rule and splitting (3264), into two cases. % 55.77/22.78 |-Branch one: % 55.77/22.78 | (1109) all_0_51_51 = e1 % 55.77/22.78 | % 56.15/22.78 | Combining equations (504,1109) yields a new equation: % 56.15/22.78 | (616) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Simplifying 616 yields: % 56.15/22.78 | (617) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Equations (617) can reduce 122 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (464) ~ (all_0_51_51 = e1) % 56.15/22.78 | (1569) all_0_56_56 = e1 % 56.15/22.78 | % 56.15/22.78 | Equations (1569) can reduce 153 to: % 56.15/22.78 | (632) ~ (all_0_55_55 = e1) % 56.15/22.78 | % 56.15/22.78 | Equations (1569) can reduce 828 to: % 56.15/22.78 | (233) ~ (e1 = e0) % 56.15/22.78 | % 56.15/22.78 | From (1569) and (111) follows: % 56.15/22.78 | (3175) op(e0, e2) = e1 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (2051), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (587) all_0_55_55 = e4 % 56.15/22.78 | % 56.15/22.78 | From (587) and (74) follows: % 56.15/22.78 | (589) op(e0, e3) = e4 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (56), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (696) unit = e2 % 56.15/22.78 | % 56.15/22.78 | From (696) and (32) follows: % 56.15/22.78 | (698) op(e2, e2) = e2 % 56.15/22.78 | % 56.15/22.78 | From (696) and (28) follows: % 56.15/22.78 | (699) op(e1, e2) = e1 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 56.15/22.78 | (330) e2 = e0 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.15/22.78 | (617) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Combining equations (330,617) yields a new equation: % 56.15/22.78 | (431) e1 = e0 % 56.15/22.78 | % 56.15/22.78 | Equations (431) can reduce 233 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (707) ~ (unit = e2) % 56.15/22.78 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (708), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (709) unit = e4 % 56.15/22.78 | % 56.15/22.78 | From (709) and (227) follows: % 56.15/22.78 | (710) op(e4, e4) = e4 % 56.15/22.78 | % 56.15/22.78 | From (709) and (40) follows: % 56.15/22.78 | (711) op(e3, e4) = e3 % 56.15/22.78 | % 56.15/22.78 | From (709) and (32) follows: % 56.15/22.78 | (712) op(e2, e4) = e2 % 56.15/22.78 | % 56.15/22.78 | From (709) and (42) follows: % 56.15/22.78 | (713) op(e0, e4) = e0 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.15/22.78 | (630) e4 = e1 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.15/22.78 | (662) e3 = e2 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.15/22.78 | (323) e4 = e2 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.15/22.78 | (676) e3 = e0 % 56.15/22.78 | % 56.15/22.78 | Combining equations (323,630) yields a new equation: % 56.15/22.78 | (616) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Simplifying 616 yields: % 56.15/22.78 | (617) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Combining equations (662,676) yields a new equation: % 56.15/22.78 | (391) e2 = e0 % 56.15/22.78 | % 56.15/22.78 | Simplifying 391 yields: % 56.15/22.78 | (330) e2 = e0 % 56.15/22.78 | % 56.15/22.78 | Combining equations (330,617) yields a new equation: % 56.15/22.78 | (431) e1 = e0 % 56.15/22.78 | % 56.15/22.78 | Equations (431) can reduce 233 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (724) ~ (unit = e4) % 56.15/22.78 | (725) unit = e3 | unit = e1 | unit = e0 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (725), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (726) unit = e0 % 56.15/22.78 | % 56.15/22.78 | From (726) and (24) follows: % 56.15/22.78 | (2208) op(e0, e3) = e3 % 56.15/22.78 | % 56.15/22.78 | From (726) and (15) follows: % 56.15/22.78 | (1508) op(e0, e2) = e2 % 56.15/22.78 | % 56.15/22.78 | From (726) and (227) follows: % 56.15/22.78 | (3205) op(e4, e0) = e4 % 56.15/22.78 | % 56.15/22.78 | From (726) and (32) follows: % 56.15/22.78 | (727) op(e2, e0) = e2 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 56.15/22.78 | (397) e4 = e0 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 56.15/22.78 | (662) e3 = e2 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 56.15/22.78 | (425) e4 = e3 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 56.15/22.78 | (617) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Combining equations (397,425) yields a new equation: % 56.15/22.78 | (676) e3 = e0 % 56.15/22.78 | % 56.15/22.78 | Combining equations (676,662) yields a new equation: % 56.15/22.78 | (330) e2 = e0 % 56.15/22.78 | % 56.15/22.78 | Combining equations (617,330) yields a new equation: % 56.15/22.78 | (546) e1 = e0 % 56.15/22.78 | % 56.15/22.78 | Simplifying 546 yields: % 56.15/22.78 | (431) e1 = e0 % 56.15/22.78 | % 56.15/22.78 | Equations (431) can reduce 233 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (734) ~ (unit = e0) % 56.15/22.78 | (735) unit = e3 | unit = e1 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (735), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (736) unit = e1 % 56.15/22.78 | % 56.15/22.78 | Equations (736) can reduce 734 to: % 56.15/22.78 | (233) ~ (e1 = e0) % 56.15/22.78 | % 56.15/22.78 | From (736) and (244) follows: % 56.15/22.78 | (738) op(e1, e4) = e4 % 56.15/22.78 | % 56.15/22.78 | From (736) and (28) follows: % 56.15/22.78 | (740) op(e1, e1) = e1 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 56.15/22.78 | (397) e4 = e0 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.15/22.78 | (630) e4 = e1 % 56.15/22.78 | % 56.15/22.78 | Combining equations (397,630) yields a new equation: % 56.15/22.78 | (431) e1 = e0 % 56.15/22.78 | % 56.15/22.78 | Equations (431) can reduce 233 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (748) ~ (unit = e1) % 56.15/22.78 | (749) unit = e3 % 56.15/22.78 | % 56.15/22.78 | From (749) and (244) follows: % 56.15/22.78 | (750) op(e3, e4) = e4 % 56.15/22.78 | % 56.15/22.78 | From (749) and (15) follows: % 56.15/22.78 | (751) op(e3, e2) = e2 % 56.15/22.78 | % 56.15/22.78 | From (749) and (28) follows: % 56.15/22.78 | (2235) op(e1, e3) = e1 % 56.15/22.78 | % 56.15/22.78 | From (749) and (42) follows: % 56.15/22.78 | (752) op(e0, e3) = e0 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 56.15/22.78 | (323) e4 = e2 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 56.15/22.78 | (662) e3 = e2 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 56.15/22.78 | (455) e3 = e1 % 56.15/22.78 | % 56.15/22.78 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.15/22.78 | (397) e4 = e0 % 56.15/22.78 | % 56.15/22.78 | Combining equations (397,323) yields a new equation: % 56.15/22.78 | (330) e2 = e0 % 56.15/22.78 | % 56.15/22.78 | Combining equations (662,455) yields a new equation: % 56.15/22.78 | (616) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Simplifying 616 yields: % 56.15/22.78 | (617) e2 = e1 % 56.15/22.78 | % 56.15/22.78 | Combining equations (330,617) yields a new equation: % 56.15/22.78 | (431) e1 = e0 % 56.15/22.78 | % 56.15/22.78 | Equations (431) can reduce 233 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (763) ~ (all_0_55_55 = e4) % 56.15/22.78 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (2055), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (858) all_0_55_55 = e0 % 56.15/22.78 | % 56.15/22.78 | Equations (858) can reduce 803 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (803) ~ (all_0_55_55 = e0) % 56.15/22.78 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (2315), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (629) all_0_55_55 = e1 % 56.15/22.78 | % 56.15/22.78 | Equations (629) can reduce 632 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (632) ~ (all_0_55_55 = e1) % 56.15/22.78 | (2336) all_0_55_55 = e3 % 56.15/22.78 | % 56.15/22.78 | Equations (2336) can reduce 270 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (549) ~ (all_0_46_46 = e1) % 56.15/22.78 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (326), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (471) all_0_39_39 = e4 % 56.15/22.78 | % 56.15/22.78 | Equations (471) can reduce 154 to: % 56.15/22.78 | (476) ~ (all_0_56_56 = e4) % 56.15/22.78 | % 56.15/22.78 | Simplifying 476 yields: % 56.15/22.78 | (477) ~ (all_0_56_56 = e4) % 56.15/22.78 | % 56.15/22.78 | Equations (471) can reduce 246 to: % 56.15/22.78 | (188) ~ (e4 = e3) % 56.15/22.78 | % 56.15/22.78 | Equations (471) can reduce 294 to: % 56.15/22.78 | (48) ~ (e4 = e2) % 56.15/22.78 | % 56.15/22.78 | Equations (471) can reduce 151 to: % 56.15/22.78 | (110) ~ (e4 = e1) % 56.15/22.78 | % 56.15/22.78 | Equations (471) can reduce 484 to: % 56.15/22.78 | (49) ~ (e4 = e0) % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (171), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (265) all_0_54_54 = e4 % 56.15/22.78 | % 56.15/22.78 | Combining equations (268,265) yields a new equation: % 56.15/22.78 | (425) e4 = e3 % 56.15/22.78 | % 56.15/22.78 | Equations (425) can reduce 188 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (258) ~ (all_0_54_54 = e4) % 56.15/22.78 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (575), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (587) all_0_55_55 = e4 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (216), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (629) all_0_55_55 = e1 % 56.15/22.78 | % 56.15/22.78 | Combining equations (629,587) yields a new equation: % 56.15/22.78 | (630) e4 = e1 % 56.15/22.78 | % 56.15/22.78 | Equations (630) can reduce 110 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (632) ~ (all_0_55_55 = e1) % 56.15/22.78 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 56.15/22.78 | % 56.15/22.78 +-Applying beta-rule and splitting (133), into two cases. % 56.15/22.78 |-Branch one: % 56.15/22.78 | (833) all_0_56_56 = e2 % 56.15/22.78 | % 56.15/22.78 | Equations (833) can reduce 511 to: % 56.15/22.78 | (266) $false % 56.15/22.78 | % 56.15/22.78 |-The branch is then unsatisfiable % 56.15/22.78 |-Branch two: % 56.15/22.78 | (511) ~ (all_0_56_56 = e2) % 56.15/22.79 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (550), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (654) all_0_47_47 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (654,674) yields a new equation: % 56.15/22.79 | (546) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Simplifying 546 yields: % 56.15/22.79 | (431) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (431) can reduce 233 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (462) ~ (all_0_47_47 = e1) % 56.15/22.79 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (674) can reduce 462 to: % 56.15/22.79 | (435) ~ (e1 = e0) % 56.15/22.79 | % 56.15/22.79 | Simplifying 435 yields: % 56.15/22.79 | (233) ~ (e1 = e0) % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (633), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (1569) all_0_56_56 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (1569) can reduce 272 to: % 56.15/22.79 | (467) ~ (e3 = e1) % 56.15/22.79 | % 56.15/22.79 | Simplifying 467 yields: % 56.15/22.79 | (213) ~ (e3 = e1) % 56.15/22.79 | % 56.15/22.79 | Equations (1569) can reduce 511 to: % 56.15/22.79 | (604) ~ (e2 = e1) % 56.15/22.79 | % 56.15/22.79 | Simplifying 604 yields: % 56.15/22.79 | (122) ~ (e2 = e1) % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (659), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (615) all_0_48_48 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (335,615) yields a new equation: % 56.15/22.79 | (616) e2 = e1 % 56.15/22.79 | % 56.15/22.79 | Simplifying 616 yields: % 56.15/22.79 | (617) e2 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (617) can reduce 122 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (619) ~ (all_0_48_48 = e1) % 56.15/22.79 | (671) all_0_49_49 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (884,671) yields a new equation: % 56.15/22.79 | (454) e3 = e1 % 56.15/22.79 | % 56.15/22.79 | Simplifying 454 yields: % 56.15/22.79 | (455) e3 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (455) can reduce 213 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (466) ~ (all_0_56_56 = e1) % 56.15/22.79 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (3259), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (654) all_0_47_47 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (654,674) yields a new equation: % 56.15/22.79 | (546) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Simplifying 546 yields: % 56.15/22.79 | (431) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (431) can reduce 233 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (462) ~ (all_0_47_47 = e1) % 56.15/22.79 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (674) can reduce 462 to: % 56.15/22.79 | (435) ~ (e1 = e0) % 56.15/22.79 | % 56.15/22.79 | Simplifying 435 yields: % 56.15/22.79 | (233) ~ (e1 = e0) % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (1574), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (647) all_0_57_57 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (875,647) yields a new equation: % 56.15/22.79 | (431) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (431) can reduce 233 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (1670) ~ (all_0_57_57 = e1) % 56.15/22.79 | (918) all_0_58_58 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (918,624) yields a new equation: % 56.15/22.79 | (617) e2 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (617) can reduce 122 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (763) ~ (all_0_55_55 = e4) % 56.15/22.79 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (764), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (842) all_0_56_56 = e4 % 56.15/22.79 | % 56.15/22.79 | Equations (842) can reduce 477 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (477) ~ (all_0_56_56 = e4) % 56.15/22.79 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (935), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (871) all_0_57_57 = e4 % 56.15/22.79 | % 56.15/22.79 | Combining equations (875,871) yields a new equation: % 56.15/22.79 | (397) e4 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (397) can reduce 49 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (839) ~ (all_0_57_57 = e4) % 56.15/22.79 | (910) all_0_58_58 = e4 % 56.15/22.79 | % 56.15/22.79 | Combining equations (910,624) yields a new equation: % 56.15/22.79 | (322) e4 = e2 % 56.15/22.79 | % 56.15/22.79 | Simplifying 322 yields: % 56.15/22.79 | (323) e4 = e2 % 56.15/22.79 | % 56.15/22.79 | Equations (323) can reduce 48 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (1377) ~ (all_0_39_39 = e4) % 56.15/22.79 | (1378) all_0_40_40 = e4 % 56.15/22.79 | % 56.15/22.79 | Combining equations (1378,485) yields a new equation: % 56.15/22.79 | (481) e4 = e0 % 56.15/22.79 | % 56.15/22.79 | Simplifying 481 yields: % 56.15/22.79 | (397) e4 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (397) can reduce 49 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (357) ~ (all_0_41_41 = e0) % 56.15/22.79 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (131), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (459) all_0_42_42 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (459,516) yields a new equation: % 56.15/22.79 | (455) e3 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (455) can reduce 213 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (1380) ~ (all_0_42_42 = e1) % 56.15/22.79 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (516) can reduce 1380 to: % 56.15/22.79 | (213) ~ (e3 = e1) % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (27), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (437) all_0_41_41 = e4 % 56.15/22.79 | % 56.15/22.79 | Equations (437) can reduce 440 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (440) ~ (all_0_41_41 = e4) % 56.15/22.79 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (135), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (545) all_0_46_46 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (545) can reduce 43 to: % 56.15/22.79 | (457) ~ (all_0_41_41 = e1) % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (4049), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (794) all_0_41_41 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (794) can reduce 357 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (357) ~ (all_0_41_41 = e0) % 56.15/22.79 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (4053), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (453) all_0_41_41 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (453) can reduce 457 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (457) ~ (all_0_41_41 = e1) % 56.15/22.79 | (403) all_0_41_41 = e3 % 56.15/22.79 | % 56.15/22.79 | Equations (403) can reduce 1898 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (549) ~ (all_0_46_46 = e1) % 56.15/22.79 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (550), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (654) all_0_47_47 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (654,674) yields a new equation: % 56.15/22.79 | (546) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Simplifying 546 yields: % 56.15/22.79 | (431) e1 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (431) can reduce 233 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (462) ~ (all_0_47_47 = e1) % 56.15/22.79 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (659), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (615) all_0_48_48 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (335,615) yields a new equation: % 56.15/22.79 | (616) e2 = e1 % 56.15/22.79 | % 56.15/22.79 | Simplifying 616 yields: % 56.15/22.79 | (617) e2 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (617) can reduce 122 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (619) ~ (all_0_48_48 = e1) % 56.15/22.79 | (671) all_0_49_49 = e1 % 56.15/22.79 | % 56.15/22.79 | Combining equations (884,671) yields a new equation: % 56.15/22.79 | (454) e3 = e1 % 56.15/22.79 | % 56.15/22.79 | Simplifying 454 yields: % 56.15/22.79 | (455) e3 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (455) can reduce 213 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (1390) ~ (all_0_44_44 = e4) % 56.15/22.79 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (165), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (794) all_0_41_41 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (794) can reduce 149 to: % 56.15/22.79 | (359) ~ (all_0_44_44 = e0) % 56.15/22.79 | % 56.15/22.79 | Simplifying 359 yields: % 56.15/22.79 | (360) ~ (all_0_44_44 = e0) % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (1391), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (1414) all_0_44_44 = e0 % 56.15/22.79 | % 56.15/22.79 | Equations (1414) can reduce 360 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (360) ~ (all_0_44_44 = e0) % 56.15/22.79 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 56.15/22.79 | % 56.15/22.79 +-Applying beta-rule and splitting (1417), into two cases. % 56.15/22.79 |-Branch one: % 56.15/22.79 | (635) all_0_44_44 = e1 % 56.15/22.79 | % 56.15/22.79 | Equations (635) can reduce 639 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (639) ~ (all_0_44_44 = e1) % 56.15/22.79 | (532) all_0_44_44 = e3 % 56.15/22.79 | % 56.15/22.79 | Equations (532) can reduce 407 to: % 56.15/22.79 | (266) $false % 56.15/22.79 | % 56.15/22.79 |-The branch is then unsatisfiable % 56.15/22.79 |-Branch two: % 56.15/22.79 | (357) ~ (all_0_41_41 = e0) % 56.15/22.79 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.15/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (6761), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (559) all_0_42_42 = e0 % 56.21/22.79 | % 56.21/22.79 | Combining equations (559,516) yields a new equation: % 56.21/22.79 | (676) e3 = e0 % 56.21/22.79 | % 56.21/22.79 | Equations (676) can reduce 80 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (358) ~ (all_0_42_42 = e0) % 56.21/22.79 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 56.21/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (6766), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (356) all_0_43_43 = e0 % 56.21/22.79 | % 56.21/22.79 | Combining equations (356,430) yields a new equation: % 56.21/22.79 | (431) e1 = e0 % 56.21/22.79 | % 56.21/22.79 | Equations (431) can reduce 233 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (5470) ~ (all_0_43_43 = e0) % 56.21/22.79 | (1414) all_0_44_44 = e0 % 56.21/22.79 | % 56.21/22.79 | Equations (1414) can reduce 360 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (678) ~ (all_0_47_47 = e0) % 56.21/22.79 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.21/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (1278), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (1279) all_0_48_48 = e0 % 56.21/22.79 | % 56.21/22.79 | Combining equations (1279,335) yields a new equation: % 56.21/22.79 | (330) e2 = e0 % 56.21/22.79 | % 56.21/22.79 | Equations (330) can reduce 128 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (1283) ~ (all_0_48_48 = e0) % 56.21/22.79 | (978) all_0_49_49 = e0 % 56.21/22.79 | % 56.21/22.79 | Combining equations (884,978) yields a new equation: % 56.21/22.79 | (675) e3 = e0 % 56.21/22.79 | % 56.21/22.79 | Simplifying 675 yields: % 56.21/22.79 | (676) e3 = e0 % 56.21/22.79 | % 56.21/22.79 | Equations (676) can reduce 80 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (525) ~ (all_0_49_49 = e3) % 56.21/22.79 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 56.21/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (887), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (665) all_0_53_53 = e3 % 56.21/22.79 | % 56.21/22.79 | Combining equations (1208,665) yields a new equation: % 56.21/22.79 | (455) e3 = e1 % 56.21/22.79 | % 56.21/22.79 | Equations (455) can reduce 213 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (903) ~ (all_0_53_53 = e3) % 56.21/22.79 | (795) all_0_58_58 = e3 % 56.21/22.79 | % 56.21/22.79 | Combining equations (624,795) yields a new equation: % 56.21/22.79 | (662) e3 = e2 % 56.21/22.79 | % 56.21/22.79 | Equations (662) can reduce 212 to: % 56.21/22.79 | (266) $false % 56.21/22.79 | % 56.21/22.79 |-The branch is then unsatisfiable % 56.21/22.79 |-Branch two: % 56.21/22.79 | (405) ~ (all_0_42_42 = e3) % 56.21/22.79 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 56.21/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (521), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (522) all_0_47_47 = e3 % 56.21/22.79 | % 56.21/22.79 | Equations (522) can reduce 79 to: % 56.21/22.79 | (246) ~ (all_0_39_39 = e3) % 56.21/22.79 | % 56.21/22.79 | Equations (522) can reduce 198 to: % 56.21/22.79 | (405) ~ (all_0_42_42 = e3) % 56.21/22.79 | % 56.21/22.79 | Equations (522) can reduce 19 to: % 56.21/22.79 | (409) ~ (all_0_46_46 = e3) % 56.21/22.79 | % 56.21/22.79 | From (522) and (23) follows: % 56.21/22.79 | (531) op(e2, e2) = e3 % 56.21/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (189), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (532) all_0_44_44 = e3 % 56.21/22.79 | % 56.21/22.79 | Equations (532) can reduce 143 to: % 56.21/22.79 | (2) ~ (all_0_40_40 = e3) % 56.21/22.79 | % 56.21/22.79 | Equations (532) can reduce 73 to: % 56.21/22.79 | (405) ~ (all_0_42_42 = e3) % 56.21/22.79 | % 56.21/22.79 | Equations (532) can reduce 9 to: % 56.21/22.79 | (524) ~ (all_0_49_49 = e3) % 56.21/22.79 | % 56.21/22.79 | Simplifying 524 yields: % 56.21/22.79 | (525) ~ (all_0_49_49 = e3) % 56.21/22.79 | % 56.21/22.79 +-Applying beta-rule and splitting (135), into two cases. % 56.21/22.79 |-Branch one: % 56.21/22.79 | (545) all_0_46_46 = e1 % 56.21/22.79 | % 56.21/22.79 | Equations (545) can reduce 43 to: % 56.21/22.79 | (457) ~ (all_0_41_41 = e1) % 56.21/22.79 | % 56.21/22.79 | Equations (545) can reduce 208 to: % 56.21/22.79 | (1419) ~ (all_0_49_49 = e1) % 56.21/22.79 | % 56.21/22.79 | Simplifying 1419 yields: % 56.21/22.79 | (1064) ~ (all_0_49_49 = e1) % 56.21/22.79 | % 56.21/22.79 | Equations (545) can reduce 58 to: % 56.21/22.80 | (2331) ~ (all_0_55_55 = e1) % 56.21/22.80 | % 56.21/22.80 | Simplifying 2331 yields: % 56.21/22.80 | (632) ~ (all_0_55_55 = e1) % 56.21/22.80 | % 56.21/22.80 | Equations (545) can reduce 300 to: % 56.21/22.80 | (604) ~ (e2 = e1) % 56.21/22.80 | % 56.21/22.80 | Simplifying 604 yields: % 56.21/22.80 | (122) ~ (e2 = e1) % 56.21/22.80 | % 56.21/22.80 | From (545) and (120) follows: % 56.21/22.80 | (2105) op(e2, e3) = e1 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (54), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (583) all_0_49_49 = e2 % 56.21/22.80 | % 56.21/22.80 | Equations (583) can reduce 340 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (340) ~ (all_0_49_49 = e2) % 56.21/22.80 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (184), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (538) all_0_46_46 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (538,545) yields a new equation: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (831) ~ (all_0_46_46 = e0) % 56.21/22.80 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (216), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (629) all_0_55_55 = e1 % 56.21/22.80 | % 56.21/22.80 | Equations (629) can reduce 632 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (632) ~ (all_0_55_55 = e1) % 56.21/22.80 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (174), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (386) all_0_55_55 = e2 % 56.21/22.80 | % 56.21/22.80 | Equations (386) can reduce 304 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (304) ~ (all_0_55_55 = e2) % 56.21/22.80 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (150), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (1378) all_0_40_40 = e4 % 56.21/22.80 | % 56.21/22.80 | Equations (1378) can reduce 200 to: % 56.21/22.80 | (255) ~ (all_0_49_49 = e4) % 56.21/22.80 | % 56.21/22.80 | Simplifying 255 yields: % 56.21/22.80 | (256) ~ (all_0_49_49 = e4) % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (2051), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (587) all_0_55_55 = e4 % 56.21/22.80 | % 56.21/22.80 | Equations (587) can reduce 191 to: % 56.21/22.80 | (440) ~ (all_0_41_41 = e4) % 56.21/22.80 | % 56.21/22.80 | Equations (587) can reduce 270 to: % 56.21/22.80 | (188) ~ (e4 = e3) % 56.21/22.80 | % 56.21/22.80 | Equations (587) can reduce 632 to: % 56.21/22.80 | (110) ~ (e4 = e1) % 56.21/22.80 | % 56.21/22.80 | From (587) and (74) follows: % 56.21/22.80 | (589) op(e0, e3) = e4 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (64), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (437) all_0_41_41 = e4 % 56.21/22.80 | % 56.21/22.80 | Equations (437) can reduce 440 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (440) ~ (all_0_41_41 = e4) % 56.21/22.80 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (441), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (1392) all_0_42_42 = e4 % 56.21/22.80 | % 56.21/22.80 | Equations (1392) can reduce 145 to: % 56.21/22.80 | (1377) ~ (all_0_39_39 = e4) % 56.21/22.80 | % 56.21/22.80 | From (1392) and (210) follows: % 56.21/22.80 | (4074) op(e3, e2) = e4 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (320), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (471) all_0_39_39 = e4 % 56.21/22.80 | % 56.21/22.80 | Equations (471) can reduce 1377 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (1377) ~ (all_0_39_39 = e4) % 56.21/22.80 | (480) all_0_39_39 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (480) can reduce 154 to: % 56.21/22.80 | (1181) ~ (all_0_56_56 = e0) % 56.21/22.80 | % 56.21/22.80 | Simplifying 1181 yields: % 56.21/22.80 | (828) ~ (all_0_56_56 = e0) % 56.21/22.80 | % 56.21/22.80 | Equations (480) can reduce 1377 to: % 56.21/22.80 | (401) ~ (e4 = e0) % 56.21/22.80 | % 56.21/22.80 | Simplifying 401 yields: % 56.21/22.80 | (49) ~ (e4 = e0) % 56.21/22.80 | % 56.21/22.80 | Equations (480) can reduce 151 to: % 56.21/22.80 | (435) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 | Simplifying 435 yields: % 56.21/22.80 | (233) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 | From (480) and (14) follows: % 56.21/22.80 | (4090) op(e4, e2) = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (165), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (794) all_0_41_41 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (794) can reduce 457 to: % 56.21/22.80 | (435) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 | Simplifying 435 yields: % 56.21/22.80 | (233) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (633), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (1569) all_0_56_56 = e1 % 56.21/22.80 | % 56.21/22.80 | From (1569) and (111) follows: % 56.21/22.80 | (3175) op(e0, e2) = e1 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (586), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (974) all_0_49_49 = e4 % 56.21/22.80 | % 56.21/22.80 | Equations (974) can reduce 256 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (256) ~ (all_0_49_49 = e4) % 56.21/22.80 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (977), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (978) all_0_49_49 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (978) can reduce 1064 to: % 56.21/22.80 | (435) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 | Simplifying 435 yields: % 56.21/22.80 | (233) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (56), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (696) unit = e2 % 56.21/22.80 | % 56.21/22.80 | From (696) and (24) follows: % 56.21/22.80 | (697) op(e2, e3) = e3 % 56.21/22.80 | % 56.21/22.80 | From (696) and (227) follows: % 56.21/22.80 | (4284) op(e4, e2) = e4 % 56.21/22.80 | % 56.21/22.80 | From (696) and (40) follows: % 56.21/22.80 | (4285) op(e3, e2) = e3 % 56.21/22.80 | % 56.21/22.80 | From (696) and (32) follows: % 56.21/22.80 | (698) op(e2, e2) = e2 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 56.21/22.80 | (397) e4 = e0 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 56.21/22.80 | (425) e4 = e3 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 56.21/22.80 | (455) e3 = e1 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 56.21/22.80 | (662) e3 = e2 % 56.21/22.80 | % 56.21/22.80 | Combining equations (397,425) yields a new equation: % 56.21/22.80 | (676) e3 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (676,662) yields a new equation: % 56.21/22.80 | (330) e2 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (455,662) yields a new equation: % 56.21/22.80 | (617) e2 = e1 % 56.21/22.80 | % 56.21/22.80 | Combining equations (330,617) yields a new equation: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (707) ~ (unit = e2) % 56.21/22.80 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (708), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (709) unit = e4 % 56.21/22.80 | % 56.21/22.80 | From (709) and (227) follows: % 56.21/22.80 | (710) op(e4, e4) = e4 % 56.21/22.80 | % 56.21/22.80 | From (709) and (40) follows: % 56.21/22.80 | (711) op(e3, e4) = e3 % 56.21/22.80 | % 56.21/22.80 | From (709) and (32) follows: % 56.21/22.80 | (712) op(e2, e4) = e2 % 56.21/22.80 | % 56.21/22.80 | From (709) and (42) follows: % 56.21/22.80 | (713) op(e0, e4) = e0 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.21/22.80 | (630) e4 = e1 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.21/22.80 | (662) e3 = e2 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.21/22.80 | (323) e4 = e2 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.21/22.80 | (676) e3 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (630,323) yields a new equation: % 56.21/22.80 | (617) e2 = e1 % 56.21/22.80 | % 56.21/22.80 | Combining equations (662,676) yields a new equation: % 56.21/22.80 | (391) e2 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 391 yields: % 56.21/22.80 | (330) e2 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (617,330) yields a new equation: % 56.21/22.80 | (546) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 546 yields: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (724) ~ (unit = e4) % 56.21/22.80 | (725) unit = e3 | unit = e1 | unit = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (725), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (726) unit = e0 % 56.21/22.80 | % 56.21/22.80 | From (726) and (15) follows: % 56.21/22.80 | (1508) op(e0, e2) = e2 % 56.21/22.80 | % 56.21/22.80 | From (726) and (42) follows: % 56.21/22.80 | (728) op(e0, e0) = e0 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 56.21/22.80 | (617) e2 = e1 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 56.21/22.80 | (330) e2 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (617,330) yields a new equation: % 56.21/22.80 | (546) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 546 yields: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (734) ~ (unit = e0) % 56.21/22.80 | (735) unit = e3 | unit = e1 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (735), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (736) unit = e1 % 56.21/22.80 | % 56.21/22.80 | Equations (736) can reduce 734 to: % 56.21/22.80 | (233) ~ (e1 = e0) % 56.21/22.80 | % 56.21/22.80 | From (736) and (244) follows: % 56.21/22.80 | (738) op(e1, e4) = e4 % 56.21/22.80 | % 56.21/22.80 | From (736) and (28) follows: % 56.21/22.80 | (740) op(e1, e1) = e1 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 56.21/22.80 | (397) e4 = e0 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.21/22.80 | (630) e4 = e1 % 56.21/22.80 | % 56.21/22.80 | Combining equations (397,630) yields a new equation: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (748) ~ (unit = e1) % 56.21/22.80 | (749) unit = e3 % 56.21/22.80 | % 56.21/22.80 | From (749) and (15) follows: % 56.21/22.80 | (751) op(e3, e2) = e2 % 56.21/22.80 | % 56.21/22.80 | From (749) and (32) follows: % 56.21/22.80 | (5793) op(e2, e3) = e2 % 56.21/22.80 | % 56.21/22.80 | From (749) and (42) follows: % 56.21/22.80 | (752) op(e0, e3) = e0 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 56.21/22.80 | (323) e4 = e2 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 56.21/22.80 | (617) e2 = e1 % 56.21/22.80 | % 56.21/22.80 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.21/22.80 | (397) e4 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (323,397) yields a new equation: % 56.21/22.80 | (391) e2 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 391 yields: % 56.21/22.80 | (330) e2 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (617,330) yields a new equation: % 56.21/22.80 | (546) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 546 yields: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (487) ~ (all_0_49_49 = e0) % 56.21/22.80 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (981), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (671) all_0_49_49 = e1 % 56.21/22.80 | % 56.21/22.80 | Equations (671) can reduce 1064 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (1064) ~ (all_0_49_49 = e1) % 56.21/22.80 | (884) all_0_49_49 = e3 % 56.21/22.80 | % 56.21/22.80 | Equations (884) can reduce 525 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (466) ~ (all_0_56_56 = e1) % 56.21/22.80 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (1574), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (647) all_0_57_57 = e1 % 56.21/22.80 | % 56.21/22.80 | Combining equations (647,875) yields a new equation: % 56.21/22.80 | (546) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 546 yields: % 56.21/22.80 | (431) e1 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (431) can reduce 233 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (1670) ~ (all_0_57_57 = e1) % 56.21/22.80 | (918) all_0_58_58 = e1 % 56.21/22.80 | % 56.21/22.80 | Combining equations (918,624) yields a new equation: % 56.21/22.80 | (617) e2 = e1 % 56.21/22.80 | % 56.21/22.80 | Equations (617) can reduce 122 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (357) ~ (all_0_41_41 = e0) % 56.21/22.80 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (6761), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (559) all_0_42_42 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (559,1392) yields a new equation: % 56.21/22.80 | (397) e4 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (397) can reduce 49 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (358) ~ (all_0_42_42 = e0) % 56.21/22.80 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (1392) can reduce 358 to: % 56.21/22.80 | (49) ~ (e4 = e0) % 56.21/22.80 | % 56.21/22.80 +-Applying beta-rule and splitting (75), into two cases. % 56.21/22.80 |-Branch one: % 56.21/22.80 | (485) all_0_40_40 = e0 % 56.21/22.80 | % 56.21/22.80 | Combining equations (1378,485) yields a new equation: % 56.21/22.80 | (481) e4 = e0 % 56.21/22.80 | % 56.21/22.80 | Simplifying 481 yields: % 56.21/22.80 | (397) e4 = e0 % 56.21/22.80 | % 56.21/22.80 | Equations (397) can reduce 49 to: % 56.21/22.80 | (266) $false % 56.21/22.80 | % 56.21/22.80 |-The branch is then unsatisfiable % 56.21/22.80 |-Branch two: % 56.21/22.80 | (1401) ~ (all_0_40_40 = e0) % 56.21/22.80 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (1378) can reduce 1401 to: % 56.21/22.81 | (49) ~ (e4 = e0) % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (395), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (794) all_0_41_41 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (794) can reduce 357 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (357) ~ (all_0_41_41 = e0) % 56.21/22.81 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (633), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (1569) all_0_56_56 = e1 % 56.21/22.81 | % 56.21/22.81 | Equations (1569) can reduce 828 to: % 56.21/22.81 | (233) ~ (e1 = e0) % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (895), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (538) all_0_46_46 = e0 % 56.21/22.81 | % 56.21/22.81 | Combining equations (538,545) yields a new equation: % 56.21/22.81 | (431) e1 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (431) can reduce 233 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (831) ~ (all_0_46_46 = e0) % 56.21/22.81 | (858) all_0_55_55 = e0 % 56.21/22.81 | % 56.21/22.81 | Combining equations (858,587) yields a new equation: % 56.21/22.81 | (397) e4 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (397) can reduce 49 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (466) ~ (all_0_56_56 = e1) % 56.21/22.81 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (1574), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (647) all_0_57_57 = e1 % 56.21/22.81 | % 56.21/22.81 | Combining equations (875,647) yields a new equation: % 56.21/22.81 | (431) e1 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (431) can reduce 233 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (1670) ~ (all_0_57_57 = e1) % 56.21/22.81 | (918) all_0_58_58 = e1 % 56.21/22.81 | % 56.21/22.81 | Combining equations (918,624) yields a new equation: % 56.21/22.81 | (617) e2 = e1 % 56.21/22.81 | % 56.21/22.81 | Equations (617) can reduce 122 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (1890) ~ (all_0_42_42 = e4) % 56.21/22.81 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (1891), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (396) all_0_43_43 = e4 % 56.21/22.81 | % 56.21/22.81 | Combining equations (430,396) yields a new equation: % 56.21/22.81 | (630) e4 = e1 % 56.21/22.81 | % 56.21/22.81 | Equations (630) can reduce 110 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (399) ~ (all_0_43_43 = e4) % 56.21/22.81 | (446) all_0_44_44 = e4 % 56.21/22.81 | % 56.21/22.81 | Combining equations (532,446) yields a new equation: % 56.21/22.81 | (425) e4 = e3 % 56.21/22.81 | % 56.21/22.81 | Equations (425) can reduce 188 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (763) ~ (all_0_55_55 = e4) % 56.21/22.81 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (2055), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (858) all_0_55_55 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (858) can reduce 803 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (803) ~ (all_0_55_55 = e0) % 56.21/22.81 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (2315), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (629) all_0_55_55 = e1 % 56.21/22.81 | % 56.21/22.81 | Equations (629) can reduce 632 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (632) ~ (all_0_55_55 = e1) % 56.21/22.81 | (2336) all_0_55_55 = e3 % 56.21/22.81 | % 56.21/22.81 | Equations (2336) can reduce 270 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (447) ~ (all_0_40_40 = e4) % 56.21/22.81 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (316), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (1378) all_0_40_40 = e4 % 56.21/22.81 | % 56.21/22.81 | Equations (1378) can reduce 447 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (447) ~ (all_0_40_40 = e4) % 56.21/22.81 | (485) all_0_40_40 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (485) can reduce 200 to: % 56.21/22.81 | (486) ~ (all_0_49_49 = e0) % 56.21/22.81 | % 56.21/22.81 | Simplifying 486 yields: % 56.21/22.81 | (487) ~ (all_0_49_49 = e0) % 56.21/22.81 | % 56.21/22.81 | Equations (485) can reduce 2 to: % 56.21/22.81 | (541) ~ (e3 = e0) % 56.21/22.81 | % 56.21/22.81 | Simplifying 541 yields: % 56.21/22.81 | (80) ~ (e3 = e0) % 56.21/22.81 | % 56.21/22.81 | Equations (485) can reduce 296 to: % 56.21/22.81 | (365) ~ (e2 = e0) % 56.21/22.81 | % 56.21/22.81 | Simplifying 365 yields: % 56.21/22.81 | (128) ~ (e2 = e0) % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (832), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (674) all_0_47_47 = e0 % 56.21/22.81 | % 56.21/22.81 | Combining equations (522,674) yields a new equation: % 56.21/22.81 | (675) e3 = e0 % 56.21/22.81 | % 56.21/22.81 | Simplifying 675 yields: % 56.21/22.81 | (676) e3 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (676) can reduce 80 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (678) ~ (all_0_47_47 = e0) % 56.21/22.81 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (1278), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (1279) all_0_48_48 = e0 % 56.21/22.81 | % 56.21/22.81 | Combining equations (335,1279) yields a new equation: % 56.21/22.81 | (391) e2 = e0 % 56.21/22.81 | % 56.21/22.81 | Simplifying 391 yields: % 56.21/22.81 | (330) e2 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (330) can reduce 128 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (1283) ~ (all_0_48_48 = e0) % 56.21/22.81 | (978) all_0_49_49 = e0 % 56.21/22.81 | % 56.21/22.81 | Equations (978) can reduce 487 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (549) ~ (all_0_46_46 = e1) % 56.21/22.81 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (54), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (583) all_0_49_49 = e2 % 56.21/22.81 | % 56.21/22.81 | Equations (583) can reduce 340 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (340) ~ (all_0_49_49 = e2) % 56.21/22.81 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (150), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (1378) all_0_40_40 = e4 % 56.21/22.81 | % 56.21/22.81 | Equations (1378) can reduce 176 to: % 56.21/22.81 | (1377) ~ (all_0_39_39 = e4) % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (131), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (459) all_0_42_42 = e1 % 56.21/22.81 | % 56.21/22.81 | Equations (459) can reduce 1380 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (1380) ~ (all_0_42_42 = e1) % 56.21/22.81 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (123), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (1794) all_0_46_46 = e2 % 56.21/22.81 | % 56.21/22.81 | Equations (1794) can reduce 300 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (300) ~ (all_0_46_46 = e2) % 56.21/22.81 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.21/22.81 | % 56.21/22.81 +-Applying beta-rule and splitting (1797), into two cases. % 56.21/22.81 |-Branch one: % 56.21/22.81 | (770) all_0_46_46 = e4 % 56.21/22.81 | % 56.21/22.81 | Equations (770) can reduce 250 to: % 56.21/22.81 | (266) $false % 56.21/22.81 | % 56.21/22.81 |-The branch is then unsatisfiable % 56.21/22.81 |-Branch two: % 56.21/22.81 | (250) ~ (all_0_46_46 = e4) % 56.21/22.81 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.21/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (1801), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (538) all_0_46_46 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (538) can reduce 208 to: % 56.29/22.81 | (486) ~ (all_0_49_49 = e0) % 56.29/22.81 | % 56.29/22.81 | Simplifying 486 yields: % 56.29/22.81 | (487) ~ (all_0_49_49 = e0) % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (320), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (471) all_0_39_39 = e4 % 56.29/22.81 | % 56.29/22.81 | Equations (471) can reduce 1377 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (1377) ~ (all_0_39_39 = e4) % 56.29/22.81 | (480) all_0_39_39 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (480) can reduce 145 to: % 56.29/22.81 | (5565) ~ (all_0_42_42 = e0) % 56.29/22.81 | % 56.29/22.81 | Simplifying 5565 yields: % 56.29/22.81 | (358) ~ (all_0_42_42 = e0) % 56.29/22.81 | % 56.29/22.81 | Equations (480) can reduce 246 to: % 56.29/22.81 | (541) ~ (e3 = e0) % 56.29/22.81 | % 56.29/22.81 | Simplifying 541 yields: % 56.29/22.81 | (80) ~ (e3 = e0) % 56.29/22.81 | % 56.29/22.81 | Equations (480) can reduce 294 to: % 56.29/22.81 | (365) ~ (e2 = e0) % 56.29/22.81 | % 56.29/22.81 | Simplifying 365 yields: % 56.29/22.81 | (128) ~ (e2 = e0) % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (152), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (1392) all_0_42_42 = e4 % 56.29/22.81 | % 56.29/22.81 | Equations (1392) can reduce 358 to: % 56.29/22.81 | (49) ~ (e4 = e0) % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (75), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (485) all_0_40_40 = e0 % 56.29/22.81 | % 56.29/22.81 | Combining equations (1378,485) yields a new equation: % 56.29/22.81 | (481) e4 = e0 % 56.29/22.81 | % 56.29/22.81 | Simplifying 481 yields: % 56.29/22.81 | (397) e4 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (397) can reduce 49 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (1401) ~ (all_0_40_40 = e0) % 56.29/22.81 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (1748), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (1414) all_0_44_44 = e0 % 56.29/22.81 | % 56.29/22.81 | Combining equations (532,1414) yields a new equation: % 56.29/22.81 | (675) e3 = e0 % 56.29/22.81 | % 56.29/22.81 | Simplifying 675 yields: % 56.29/22.81 | (676) e3 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (676) can reduce 80 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (360) ~ (all_0_44_44 = e0) % 56.29/22.81 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (1760), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (978) all_0_49_49 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (978) can reduce 487 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (487) ~ (all_0_49_49 = e0) % 56.29/22.81 | (914) all_0_58_58 = e0 % 56.29/22.81 | % 56.29/22.81 | Combining equations (914,624) yields a new equation: % 56.29/22.81 | (330) e2 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (330) can reduce 128 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (1890) ~ (all_0_42_42 = e4) % 56.29/22.81 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (1969), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (559) all_0_42_42 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (559) can reduce 358 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (358) ~ (all_0_42_42 = e0) % 56.29/22.81 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (2510), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (459) all_0_42_42 = e1 % 56.29/22.81 | % 56.29/22.81 | Equations (459) can reduce 1380 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (1380) ~ (all_0_42_42 = e1) % 56.29/22.81 | (516) all_0_42_42 = e3 % 56.29/22.81 | % 56.29/22.81 | Equations (516) can reduce 405 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (831) ~ (all_0_46_46 = e0) % 56.29/22.81 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (1838), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (545) all_0_46_46 = e1 % 56.29/22.81 | % 56.29/22.81 | Equations (545) can reduce 549 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (549) ~ (all_0_46_46 = e1) % 56.29/22.81 | (1557) all_0_46_46 = e3 % 56.29/22.81 | % 56.29/22.81 | Equations (1557) can reduce 409 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (447) ~ (all_0_40_40 = e4) % 56.29/22.81 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (326), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (471) all_0_39_39 = e4 % 56.29/22.81 | % 56.29/22.81 | Equations (471) can reduce 176 to: % 56.29/22.81 | (7398) ~ (all_0_40_40 = e4) % 56.29/22.81 | % 56.29/22.81 | Simplifying 7398 yields: % 56.29/22.81 | (447) ~ (all_0_40_40 = e4) % 56.29/22.81 | % 56.29/22.81 +-Applying beta-rule and splitting (316), into two cases. % 56.29/22.81 |-Branch one: % 56.29/22.81 | (1378) all_0_40_40 = e4 % 56.29/22.81 | % 56.29/22.81 | Equations (1378) can reduce 447 to: % 56.29/22.81 | (266) $false % 56.29/22.81 | % 56.29/22.81 |-The branch is then unsatisfiable % 56.29/22.81 |-Branch two: % 56.29/22.81 | (447) ~ (all_0_40_40 = e4) % 56.29/22.81 | (485) all_0_40_40 = e0 % 56.29/22.81 | % 56.29/22.81 | Equations (485) can reduce 200 to: % 56.29/22.82 | (486) ~ (all_0_49_49 = e0) % 56.29/22.82 | % 56.29/22.82 | Simplifying 486 yields: % 56.29/22.82 | (487) ~ (all_0_49_49 = e0) % 56.29/22.82 | % 56.29/22.82 +-Applying beta-rule and splitting (586), into two cases. % 56.29/22.82 |-Branch one: % 56.29/22.82 | (974) all_0_49_49 = e4 % 56.29/22.82 | % 56.29/22.82 | Equations (974) can reduce 256 to: % 56.29/22.82 | (266) $false % 56.29/22.82 | % 56.29/22.82 |-The branch is then unsatisfiable % 56.29/22.82 |-Branch two: % 56.29/22.82 | (256) ~ (all_0_49_49 = e4) % 56.29/22.82 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.29/22.82 | % 56.29/22.82 +-Applying beta-rule and splitting (977), into two cases. % 56.29/22.82 |-Branch one: % 56.29/22.82 | (978) all_0_49_49 = e0 % 56.29/22.82 | % 56.29/22.82 | Equations (978) can reduce 487 to: % 56.29/22.82 | (266) $false % 56.29/22.82 | % 56.29/22.82 |-The branch is then unsatisfiable % 56.29/22.82 |-Branch two: % 56.29/22.82 | (487) ~ (all_0_49_49 = e0) % 56.29/22.82 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 56.29/22.82 | % 56.29/22.82 +-Applying beta-rule and splitting (981), into two cases. % 56.29/22.82 |-Branch one: % 56.29/22.82 | (671) all_0_49_49 = e1 % 56.29/22.82 | % 56.29/22.82 | Equations (671) can reduce 1064 to: % 56.29/22.82 | (266) $false % 56.29/22.82 | % 56.29/22.82 |-The branch is then unsatisfiable % 56.29/22.82 |-Branch two: % 56.29/22.82 | (1064) ~ (all_0_49_49 = e1) % 56.29/22.82 | (884) all_0_49_49 = e3 % 56.29/22.82 | % 56.29/22.82 | Equations (884) can reduce 525 to: % 56.29/22.82 | (266) $false % 56.29/22.82 | % 56.29/22.82 |-The branch is then unsatisfiable % 56.29/22.82 |-Branch two: % 56.31/22.82 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.82 | (1378) all_0_40_40 = e4 % 56.31/22.82 | % 56.31/22.82 | Equations (1378) can reduce 447 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (407) ~ (all_0_44_44 = e3) % 56.31/22.82 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (1899), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (516) all_0_42_42 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (516) can reduce 405 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (405) ~ (all_0_42_42 = e3) % 56.31/22.82 | (532) all_0_44_44 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 407 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (1091) ~ (all_0_47_47 = e3) % 56.31/22.82 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (1092), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (660) all_0_51_51 = e3 % 56.31/22.82 | % 56.31/22.82 | Combining equations (504,660) yields a new equation: % 56.31/22.82 | (662) e3 = e2 % 56.31/22.82 | % 56.31/22.82 | Equations (662) can reduce 212 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (664) ~ (all_0_51_51 = e3) % 56.31/22.82 | (1097) all_0_56_56 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (1097) can reduce 272 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (1459) ~ (all_0_53_53 = e1) % 56.31/22.82 | (665) all_0_53_53 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (665) can reduce 903 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (1099) ~ (all_0_51_51 = e2) % 56.31/22.82 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (1100), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (1101) all_0_51_51 = e4 % 56.31/22.82 | % 56.31/22.82 | Equations (1101) can reduce 475 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (475) ~ (all_0_51_51 = e4) % 56.31/22.82 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (1104), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (1109) all_0_51_51 = e1 % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 139 to: % 56.31/22.82 | (151) ~ (all_0_39_39 = e1) % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 61 to: % 56.31/22.82 | (1380) ~ (all_0_42_42 = e1) % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 224 to: % 56.31/22.82 | (462) ~ (all_0_47_47 = e1) % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 16 to: % 56.31/22.82 | (465) ~ (all_0_56_56 = e1) % 56.31/22.82 | % 56.31/22.82 | Simplifying 465 yields: % 56.31/22.82 | (466) ~ (all_0_56_56 = e1) % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 664 to: % 56.31/22.82 | (467) ~ (e3 = e1) % 56.31/22.82 | % 56.31/22.82 | Simplifying 467 yields: % 56.31/22.82 | (213) ~ (e3 = e1) % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 1099 to: % 56.31/22.82 | (604) ~ (e2 = e1) % 56.31/22.82 | % 56.31/22.82 | Simplifying 604 yields: % 56.31/22.82 | (122) ~ (e2 = e1) % 56.31/22.82 | % 56.31/22.82 | Equations (1109) can reduce 115 to: % 56.31/22.82 | (233) ~ (e1 = e0) % 56.31/22.82 | % 56.31/22.82 | From (1109) and (177) follows: % 56.31/22.82 | (4211) op(e1, e2) = all_0_25_25 % 56.31/22.82 | % 56.31/22.82 | From (1109) and (186) follows: % 56.31/22.82 | (699) op(e1, e2) = e1 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (196), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (607) all_0_53_53 = e2 % 56.31/22.82 | % 56.31/22.82 | Equations (607) can reduce 162 to: % 56.31/22.82 | (296) ~ (all_0_40_40 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (607) can reduce 220 to: % 56.31/22.82 | (147) ~ (all_0_44_44 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (607) can reduce 65 to: % 56.31/22.82 | (340) ~ (all_0_49_49 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (607) can reduce 10 to: % 56.31/22.82 | (1186) ~ (all_0_58_58 = e2) % 56.31/22.82 | % 56.31/22.82 | Simplifying 1186 yields: % 56.31/22.82 | (908) ~ (all_0_58_58 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (607) can reduce 247 to: % 56.31/22.82 | (128) ~ (e2 = e0) % 56.31/22.82 | % 56.31/22.82 | From (607) and (92) follows: % 56.31/22.82 | (1555) op(e2, e1) = all_0_27_27 % 56.31/22.82 | % 56.31/22.82 | From (607) and (175) follows: % 56.31/22.82 | (1556) op(e2, e0) = all_0_28_28 % 56.31/22.82 | % 56.31/22.82 | From (607) and (84) follows: % 56.31/22.82 | (2566) op(e1, e0) = e2 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (389), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (833) all_0_56_56 = e2 % 56.31/22.82 | % 56.31/22.82 | Equations (833) can reduce 154 to: % 56.31/22.82 | (294) ~ (all_0_39_39 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (833) can reduce 236 to: % 56.31/22.82 | (51) ~ (all_0_42_42 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (833) can reduce 91 to: % 56.31/22.82 | (338) ~ (all_0_47_47 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (833) can reduce 153 to: % 56.31/22.82 | (304) ~ (all_0_55_55 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (833) can reduce 44 to: % 56.31/22.82 | (1186) ~ (all_0_58_58 = e2) % 56.31/22.82 | % 56.31/22.82 | Simplifying 1186 yields: % 56.31/22.82 | (908) ~ (all_0_58_58 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (833) can reduce 466 to: % 56.31/22.82 | (122) ~ (e2 = e1) % 56.31/22.82 | % 56.31/22.82 | From (833) and (87) follows: % 56.31/22.82 | (4151) op(e2, e2) = all_0_34_34 % 56.31/22.82 | % 56.31/22.82 | From (833) and (127) follows: % 56.31/22.82 | (1507) op(e2, e0) = all_0_33_33 % 56.31/22.82 | % 56.31/22.82 | From (833) and (111) follows: % 56.31/22.82 | (1508) op(e0, e2) = e2 % 56.31/22.82 | % 56.31/22.82 | Instantiating formula (29) with e2, e2, all_0_34_34, all_0_47_47 and discharging atoms op(e2, e2) = all_0_34_34, op(e2, e2) = all_0_47_47, yields: % 56.31/22.82 | (7480) all_0_34_34 = all_0_47_47 % 56.31/22.82 | % 56.31/22.82 | Instantiating formula (29) with e2, e1, all_0_27_27, e2 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = e2, yields: % 56.31/22.82 | (1590) all_0_27_27 = e2 % 56.31/22.82 | % 56.31/22.82 | Instantiating formula (29) with e2, e0, all_0_28_28, all_0_49_49 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = all_0_49_49, yields: % 56.31/22.82 | (7482) all_0_28_28 = all_0_49_49 % 56.31/22.82 | % 56.31/22.82 | Instantiating formula (29) with e2, e0, all_0_33_33, all_0_28_28 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = all_0_33_33, yields: % 56.31/22.82 | (1591) all_0_28_28 = all_0_33_33 % 56.31/22.82 | % 56.31/22.82 | Instantiating formula (29) with e1, e2, e1, all_0_25_25 and discharging atoms op(e1, e2) = all_0_25_25, op(e1, e2) = e1, yields: % 56.31/22.82 | (4271) all_0_25_25 = e1 % 56.31/22.82 | % 56.31/22.82 | Combining equations (1591,7482) yields a new equation: % 56.31/22.82 | (7485) all_0_33_33 = all_0_49_49 % 56.31/22.82 | % 56.31/22.82 | Simplifying 7485 yields: % 56.31/22.82 | (7486) all_0_33_33 = all_0_49_49 % 56.31/22.82 | % 56.31/22.82 | From (7480) and (4151) follows: % 56.31/22.82 | (23) op(e2, e2) = all_0_47_47 % 56.31/22.82 | % 56.31/22.82 | From (1590) and (1555) follows: % 56.31/22.82 | (347) op(e2, e1) = e2 % 56.31/22.82 | % 56.31/22.82 | From (7486) and (1507) follows: % 56.31/22.82 | (55) op(e2, e0) = all_0_49_49 % 56.31/22.82 | % 56.31/22.82 | From (4271) and (4211) follows: % 56.31/22.82 | (699) op(e1, e2) = e1 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (189), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (532) all_0_44_44 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 143 to: % 56.31/22.82 | (2) ~ (all_0_40_40 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 149 to: % 56.31/22.82 | (1898) ~ (all_0_41_41 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 73 to: % 56.31/22.82 | (405) ~ (all_0_42_42 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 181 to: % 56.31/22.82 | (275) ~ (all_0_58_58 = e3) % 56.31/22.82 | % 56.31/22.82 | Simplifying 275 yields: % 56.31/22.82 | (276) ~ (all_0_58_58 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 147 to: % 56.31/22.82 | (212) ~ (e3 = e2) % 56.31/22.82 | % 56.31/22.82 | Equations (532) can reduce 639 to: % 56.31/22.82 | (213) ~ (e3 = e1) % 56.31/22.82 | % 56.31/22.82 | From (532) and (138) follows: % 56.31/22.82 | (1639) op(e3, e0) = e3 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (180), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (516) all_0_42_42 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (516) can reduce 405 to: % 56.31/22.82 | (266) $false % 56.31/22.82 | % 56.31/22.82 |-The branch is then unsatisfiable % 56.31/22.82 |-Branch two: % 56.31/22.82 | (405) ~ (all_0_42_42 = e3) % 56.31/22.82 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (521), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (522) all_0_47_47 = e3 % 56.31/22.82 | % 56.31/22.82 | Equations (522) can reduce 79 to: % 56.31/22.82 | (246) ~ (all_0_39_39 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (522) can reduce 198 to: % 56.31/22.82 | (405) ~ (all_0_42_42 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (522) can reduce 19 to: % 56.31/22.82 | (409) ~ (all_0_46_46 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (522) can reduce 86 to: % 56.31/22.82 | (524) ~ (all_0_49_49 = e3) % 56.31/22.82 | % 56.31/22.82 | Simplifying 524 yields: % 56.31/22.82 | (525) ~ (all_0_49_49 = e3) % 56.31/22.82 | % 56.31/22.82 | Equations (522) can reduce 462 to: % 56.31/22.82 | (213) ~ (e3 = e1) % 56.31/22.82 | % 56.31/22.82 | From (522) and (23) follows: % 56.31/22.82 | (531) op(e2, e2) = e3 % 56.31/22.82 | % 56.31/22.82 +-Applying beta-rule and splitting (104), into two cases. % 56.31/22.82 |-Branch one: % 56.31/22.82 | (480) all_0_39_39 = e0 % 56.31/22.82 | % 56.31/22.82 | Equations (480) can reduce 176 to: % 56.31/22.82 | (1400) ~ (all_0_40_40 = e0) % 56.31/22.82 | % 56.31/22.82 | Simplifying 1400 yields: % 56.31/22.82 | (1401) ~ (all_0_40_40 = e0) % 56.31/22.82 | % 56.31/22.82 | Equations (480) can reduce 145 to: % 56.31/22.82 | (5565) ~ (all_0_42_42 = e0) % 56.31/22.82 | % 56.31/22.82 | Simplifying 5565 yields: % 56.31/22.82 | (358) ~ (all_0_42_42 = e0) % 56.31/22.82 | % 56.31/22.82 | Equations (480) can reduce 246 to: % 56.31/22.82 | (541) ~ (e3 = e0) % 56.31/22.82 | % 56.31/22.82 | Simplifying 541 yields: % 56.31/22.82 | (80) ~ (e3 = e0) % 56.31/22.82 | % 56.31/22.82 | Equations (480) can reduce 151 to: % 56.31/22.82 | (435) ~ (e1 = e0) % 56.31/22.82 | % 56.31/22.82 | Simplifying 435 yields: % 56.31/22.82 | (233) ~ (e1 = e0) % 56.31/22.82 | % 56.31/22.82 | From (480) and (14) follows: % 56.31/22.83 | (4090) op(e4, e2) = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (152), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (1392) all_0_42_42 = e4 % 56.31/22.83 | % 56.31/22.83 | Equations (1392) can reduce 358 to: % 56.31/22.83 | (49) ~ (e4 = e0) % 56.31/22.83 | % 56.31/22.83 | From (1392) and (210) follows: % 56.31/22.83 | (4074) op(e3, e2) = e4 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (75), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (485) all_0_40_40 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (485) can reduce 1401 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (1401) ~ (all_0_40_40 = e0) % 56.31/22.83 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (326), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (471) all_0_39_39 = e4 % 56.31/22.83 | % 56.31/22.83 | Combining equations (471,480) yields a new equation: % 56.31/22.83 | (481) e4 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 481 yields: % 56.31/22.83 | (397) e4 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (397) can reduce 49 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.83 | (1378) all_0_40_40 = e4 % 56.31/22.83 | % 56.31/22.83 | Equations (1378) can reduce 200 to: % 56.31/22.83 | (255) ~ (all_0_49_49 = e4) % 56.31/22.83 | % 56.31/22.83 | Simplifying 255 yields: % 56.31/22.83 | (256) ~ (all_0_49_49 = e4) % 56.31/22.83 | % 56.31/22.83 | Equations (1378) can reduce 178 to: % 56.31/22.83 | (450) ~ (all_0_58_58 = e4) % 56.31/22.83 | % 56.31/22.83 | Simplifying 450 yields: % 56.31/22.83 | (451) ~ (all_0_58_58 = e4) % 56.31/22.83 | % 56.31/22.83 | Equations (1378) can reduce 2 to: % 56.31/22.83 | (188) ~ (e4 = e3) % 56.31/22.83 | % 56.31/22.83 | Equations (1378) can reduce 296 to: % 56.31/22.83 | (48) ~ (e4 = e2) % 56.31/22.83 | % 56.31/22.83 | Equations (1378) can reduce 1401 to: % 56.31/22.83 | (49) ~ (e4 = e0) % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (165), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (794) all_0_41_41 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (794) can reduce 43 to: % 56.31/22.83 | (5567) ~ (all_0_46_46 = e0) % 56.31/22.83 | % 56.31/22.83 | Simplifying 5567 yields: % 56.31/22.83 | (831) ~ (all_0_46_46 = e0) % 56.31/22.83 | % 56.31/22.83 | Equations (794) can reduce 1898 to: % 56.31/22.83 | (541) ~ (e3 = e0) % 56.31/22.83 | % 56.31/22.83 | Simplifying 541 yields: % 56.31/22.83 | (80) ~ (e3 = e0) % 56.31/22.83 | % 56.31/22.83 | Equations (794) can reduce 85 to: % 56.31/22.83 | (365) ~ (e2 = e0) % 56.31/22.83 | % 56.31/22.83 | Simplifying 365 yields: % 56.31/22.83 | (128) ~ (e2 = e0) % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (123), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (1794) all_0_46_46 = e2 % 56.31/22.83 | % 56.31/22.83 | Equations (1794) can reduce 300 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (300) ~ (all_0_46_46 = e2) % 56.31/22.83 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (184), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (538) all_0_46_46 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (538) can reduce 831 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (831) ~ (all_0_46_46 = e0) % 56.31/22.83 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (1797), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (770) all_0_46_46 = e4 % 56.31/22.83 | % 56.31/22.83 | Equations (770) can reduce 250 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (250) ~ (all_0_46_46 = e4) % 56.31/22.83 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (832), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (674) all_0_47_47 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (522,674) yields a new equation: % 56.31/22.83 | (675) e3 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 675 yields: % 56.31/22.83 | (676) e3 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (676) can reduce 80 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (678) ~ (all_0_47_47 = e0) % 56.31/22.83 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (1801), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (538) all_0_46_46 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (538) can reduce 831 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (831) ~ (all_0_46_46 = e0) % 56.31/22.83 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (108), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (624) all_0_58_58 = e2 % 56.31/22.83 | % 56.31/22.83 | Equations (624) can reduce 908 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (908) ~ (all_0_58_58 = e2) % 56.31/22.83 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (1278), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (1279) all_0_48_48 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (335,1279) yields a new equation: % 56.31/22.83 | (391) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 391 yields: % 56.31/22.83 | (330) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (330) can reduce 128 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (1283) ~ (all_0_48_48 = e0) % 56.31/22.83 | (978) all_0_49_49 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (978) can reduce 119 to: % 56.31/22.83 | (490) ~ (all_0_58_58 = e0) % 56.31/22.83 | % 56.31/22.83 | Simplifying 490 yields: % 56.31/22.83 | (491) ~ (all_0_58_58 = e0) % 56.31/22.83 | % 56.31/22.83 | Equations (978) can reduce 256 to: % 56.31/22.83 | (401) ~ (e4 = e0) % 56.31/22.83 | % 56.31/22.83 | Simplifying 401 yields: % 56.31/22.83 | (49) ~ (e4 = e0) % 56.31/22.83 | % 56.31/22.83 | From (978) and (55) follows: % 56.31/22.83 | (7585) op(e2, e0) = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (545) all_0_46_46 = e1 % 56.31/22.83 | % 56.31/22.83 | From (545) and (120) follows: % 56.31/22.83 | (2105) op(e2, e3) = e1 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (171), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (265) all_0_54_54 = e4 % 56.31/22.83 | % 56.31/22.83 | Combining equations (265,268) yields a new equation: % 56.31/22.83 | (424) e4 = e3 % 56.31/22.83 | % 56.31/22.83 | Simplifying 424 yields: % 56.31/22.83 | (425) e4 = e3 % 56.31/22.83 | % 56.31/22.83 | Equations (425) can reduce 188 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (258) ~ (all_0_54_54 = e4) % 56.31/22.83 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (909), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (910) all_0_58_58 = e4 % 56.31/22.83 | % 56.31/22.83 | Equations (910) can reduce 451 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (451) ~ (all_0_58_58 = e4) % 56.31/22.83 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (913), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (914) all_0_58_58 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (914) can reduce 491 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (491) ~ (all_0_58_58 = e0) % 56.31/22.83 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (917), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (918) all_0_58_58 = e1 % 56.31/22.83 | % 56.31/22.83 | Equations (918) can reduce 451 to: % 56.31/22.83 | (602) ~ (e4 = e1) % 56.31/22.83 | % 56.31/22.83 | Simplifying 602 yields: % 56.31/22.83 | (110) ~ (e4 = e1) % 56.31/22.83 | % 56.31/22.83 | Equations (918) can reduce 491 to: % 56.31/22.83 | (233) ~ (e1 = e0) % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (575), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (587) all_0_55_55 = e4 % 56.31/22.83 | % 56.31/22.83 | From (587) and (74) follows: % 56.31/22.83 | (589) op(e0, e3) = e4 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (56), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (696) unit = e2 % 56.31/22.83 | % 56.31/22.83 | From (696) and (24) follows: % 56.31/22.83 | (697) op(e2, e3) = e3 % 56.31/22.83 | % 56.31/22.83 | From (696) and (227) follows: % 56.31/22.83 | (4284) op(e4, e2) = e4 % 56.31/22.83 | % 56.31/22.83 | From (696) and (40) follows: % 56.31/22.83 | (4285) op(e3, e2) = e3 % 56.31/22.83 | % 56.31/22.83 | From (696) and (32) follows: % 56.31/22.83 | (698) op(e2, e2) = e2 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 56.31/22.83 | (397) e4 = e0 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 56.31/22.83 | (425) e4 = e3 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 56.31/22.83 | (455) e3 = e1 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 56.31/22.83 | (662) e3 = e2 % 56.31/22.83 | % 56.31/22.83 | Combining equations (397,425) yields a new equation: % 56.31/22.83 | (676) e3 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (676,662) yields a new equation: % 56.31/22.83 | (330) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (455,662) yields a new equation: % 56.31/22.83 | (617) e2 = e1 % 56.31/22.83 | % 56.31/22.83 | Combining equations (617,330) yields a new equation: % 56.31/22.83 | (546) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 546 yields: % 56.31/22.83 | (431) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (431) can reduce 233 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (707) ~ (unit = e2) % 56.31/22.83 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (708), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (709) unit = e4 % 56.31/22.83 | % 56.31/22.83 | From (709) and (227) follows: % 56.31/22.83 | (710) op(e4, e4) = e4 % 56.31/22.83 | % 56.31/22.83 | From (709) and (40) follows: % 56.31/22.83 | (711) op(e3, e4) = e3 % 56.31/22.83 | % 56.31/22.83 | From (709) and (32) follows: % 56.31/22.83 | (712) op(e2, e4) = e2 % 56.31/22.83 | % 56.31/22.83 | From (709) and (42) follows: % 56.31/22.83 | (713) op(e0, e4) = e0 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.31/22.83 | (630) e4 = e1 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.31/22.83 | (662) e3 = e2 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.31/22.83 | (323) e4 = e2 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.31/22.83 | (676) e3 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (630,323) yields a new equation: % 56.31/22.83 | (617) e2 = e1 % 56.31/22.83 | % 56.31/22.83 | Combining equations (662,676) yields a new equation: % 56.31/22.83 | (391) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 391 yields: % 56.31/22.83 | (330) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (617,330) yields a new equation: % 56.31/22.83 | (546) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 546 yields: % 56.31/22.83 | (431) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (431) can reduce 233 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (724) ~ (unit = e4) % 56.31/22.83 | (725) unit = e3 | unit = e1 | unit = e0 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (725), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (726) unit = e0 % 56.31/22.83 | % 56.31/22.83 | From (726) and (32) follows: % 56.31/22.83 | (727) op(e2, e0) = e2 % 56.31/22.83 | % 56.31/22.83 | From (726) and (28) follows: % 56.31/22.83 | (2698) op(e1, e0) = e1 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 56.31/22.83 | (330) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 56.31/22.83 | (617) e2 = e1 % 56.31/22.83 | % 56.31/22.83 | Combining equations (617,330) yields a new equation: % 56.31/22.83 | (546) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 546 yields: % 56.31/22.83 | (431) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (431) can reduce 233 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (734) ~ (unit = e0) % 56.31/22.83 | (735) unit = e3 | unit = e1 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (735), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (736) unit = e1 % 56.31/22.83 | % 56.31/22.83 | Equations (736) can reduce 734 to: % 56.31/22.83 | (233) ~ (e1 = e0) % 56.31/22.83 | % 56.31/22.83 | From (736) and (15) follows: % 56.31/22.83 | (515) op(e1, e2) = e2 % 56.31/22.83 | % 56.31/22.83 | From (736) and (209) follows: % 56.31/22.83 | (2715) op(e1, e0) = e0 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.31/22.83 | (617) e2 = e1 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 56.31/22.83 | (330) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (330,617) yields a new equation: % 56.31/22.83 | (431) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (431) can reduce 233 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (748) ~ (unit = e1) % 56.31/22.83 | (749) unit = e3 % 56.31/22.83 | % 56.31/22.83 | From (749) and (15) follows: % 56.31/22.83 | (751) op(e3, e2) = e2 % 56.31/22.83 | % 56.31/22.83 | From (749) and (32) follows: % 56.31/22.83 | (5793) op(e2, e3) = e2 % 56.31/22.83 | % 56.31/22.83 | From (749) and (42) follows: % 56.31/22.83 | (752) op(e0, e3) = e0 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 56.31/22.83 | (323) e4 = e2 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 56.31/22.83 | (617) e2 = e1 % 56.31/22.83 | % 56.31/22.83 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.31/22.83 | (397) e4 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (323,397) yields a new equation: % 56.31/22.83 | (391) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 391 yields: % 56.31/22.83 | (330) e2 = e0 % 56.31/22.83 | % 56.31/22.83 | Combining equations (617,330) yields a new equation: % 56.31/22.83 | (546) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 546 yields: % 56.31/22.83 | (431) e1 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (431) can reduce 233 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (763) ~ (all_0_55_55 = e4) % 56.31/22.83 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (764), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (842) all_0_56_56 = e4 % 56.31/22.83 | % 56.31/22.83 | Combining equations (833,842) yields a new equation: % 56.31/22.83 | (323) e4 = e2 % 56.31/22.83 | % 56.31/22.83 | Equations (323) can reduce 48 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (477) ~ (all_0_56_56 = e4) % 56.31/22.83 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 56.31/22.83 | % 56.31/22.83 +-Applying beta-rule and splitting (935), into two cases. % 56.31/22.83 |-Branch one: % 56.31/22.83 | (871) all_0_57_57 = e4 % 56.31/22.83 | % 56.31/22.83 | Combining equations (871,875) yields a new equation: % 56.31/22.83 | (481) e4 = e0 % 56.31/22.83 | % 56.31/22.83 | Simplifying 481 yields: % 56.31/22.83 | (397) e4 = e0 % 56.31/22.83 | % 56.31/22.83 | Equations (397) can reduce 49 to: % 56.31/22.83 | (266) $false % 56.31/22.83 | % 56.31/22.83 |-The branch is then unsatisfiable % 56.31/22.83 |-Branch two: % 56.31/22.83 | (839) ~ (all_0_57_57 = e4) % 56.31/22.84 | (910) all_0_58_58 = e4 % 56.31/22.84 | % 56.31/22.84 | Combining equations (910,918) yields a new equation: % 56.31/22.84 | (636) e4 = e1 % 56.31/22.84 | % 56.31/22.84 | Simplifying 636 yields: % 56.31/22.84 | (630) e4 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (630) can reduce 110 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (880) ~ (all_0_58_58 = e1) % 56.31/22.84 | (795) all_0_58_58 = e3 % 56.31/22.84 | % 56.31/22.84 | Equations (795) can reduce 276 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (549) ~ (all_0_46_46 = e1) % 56.31/22.84 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (1838), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (545) all_0_46_46 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (545) can reduce 549 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (549) ~ (all_0_46_46 = e1) % 56.31/22.84 | (1557) all_0_46_46 = e3 % 56.31/22.84 | % 56.31/22.84 | Equations (1557) can reduce 409 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (357) ~ (all_0_41_41 = e0) % 56.31/22.84 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (108), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (624) all_0_58_58 = e2 % 56.31/22.84 | % 56.31/22.84 | Equations (624) can reduce 908 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (908) ~ (all_0_58_58 = e2) % 56.31/22.84 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (909), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (910) all_0_58_58 = e4 % 56.31/22.84 | % 56.31/22.84 | Equations (910) can reduce 451 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (451) ~ (all_0_58_58 = e4) % 56.31/22.84 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (913), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (914) all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (914) can reduce 491 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (491) ~ (all_0_58_58 = e0) % 56.31/22.84 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (917), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (918) all_0_58_58 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (918) can reduce 119 to: % 56.31/22.84 | (1064) ~ (all_0_49_49 = e1) % 56.31/22.84 | % 56.31/22.84 | Equations (918) can reduce 276 to: % 56.31/22.84 | (467) ~ (e3 = e1) % 56.31/22.84 | % 56.31/22.84 | Simplifying 467 yields: % 56.31/22.84 | (213) ~ (e3 = e1) % 56.31/22.84 | % 56.31/22.84 | Equations (918) can reduce 908 to: % 56.31/22.84 | (604) ~ (e2 = e1) % 56.31/22.84 | % 56.31/22.84 | Simplifying 604 yields: % 56.31/22.84 | (122) ~ (e2 = e1) % 56.31/22.84 | % 56.31/22.84 | Equations (918) can reduce 491 to: % 56.31/22.84 | (233) ~ (e1 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (545) all_0_46_46 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (545) can reduce 208 to: % 56.31/22.84 | (1419) ~ (all_0_49_49 = e1) % 56.31/22.84 | % 56.31/22.84 | Simplifying 1419 yields: % 56.31/22.84 | (1064) ~ (all_0_49_49 = e1) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (184), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (538) all_0_46_46 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (545,538) yields a new equation: % 56.31/22.84 | (546) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Simplifying 546 yields: % 56.31/22.84 | (431) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (431) can reduce 233 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (831) ~ (all_0_46_46 = e0) % 56.31/22.84 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (545) can reduce 831 to: % 56.31/22.84 | (233) ~ (e1 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (1748), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (1414) all_0_44_44 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (532,1414) yields a new equation: % 56.31/22.84 | (675) e3 = e0 % 56.31/22.84 | % 56.31/22.84 | Simplifying 675 yields: % 56.31/22.84 | (676) e3 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (676) can reduce 80 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (360) ~ (all_0_44_44 = e0) % 56.31/22.84 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (6761), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (559) all_0_42_42 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (559,1392) yields a new equation: % 56.31/22.84 | (397) e4 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (397) can reduce 49 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (358) ~ (all_0_42_42 = e0) % 56.31/22.84 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (1760), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (978) all_0_49_49 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (978) can reduce 525 to: % 56.31/22.84 | (541) ~ (e3 = e0) % 56.31/22.84 | % 56.31/22.84 | Simplifying 541 yields: % 56.31/22.84 | (80) ~ (e3 = e0) % 56.31/22.84 | % 56.31/22.84 | Equations (978) can reduce 1064 to: % 56.31/22.84 | (435) ~ (e1 = e0) % 56.31/22.84 | % 56.31/22.84 | Simplifying 435 yields: % 56.31/22.84 | (233) ~ (e1 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (6766), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (356) all_0_43_43 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (430,356) yields a new equation: % 56.31/22.84 | (546) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Simplifying 546 yields: % 56.31/22.84 | (431) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (431) can reduce 233 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (5470) ~ (all_0_43_43 = e0) % 56.31/22.84 | (1414) all_0_44_44 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (532,1414) yields a new equation: % 56.31/22.84 | (675) e3 = e0 % 56.31/22.84 | % 56.31/22.84 | Simplifying 675 yields: % 56.31/22.84 | (676) e3 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (676) can reduce 80 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (487) ~ (all_0_49_49 = e0) % 56.31/22.84 | (914) all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (914,918) yields a new equation: % 56.31/22.84 | (431) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (431) can reduce 233 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (549) ~ (all_0_46_46 = e1) % 56.31/22.84 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (550), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (654) all_0_47_47 = e1 % 56.31/22.84 | % 56.31/22.84 | Combining equations (522,654) yields a new equation: % 56.31/22.84 | (454) e3 = e1 % 56.31/22.84 | % 56.31/22.84 | Simplifying 454 yields: % 56.31/22.84 | (455) e3 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (455) can reduce 213 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (462) ~ (all_0_47_47 = e1) % 56.31/22.84 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (659), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (615) all_0_48_48 = e1 % 56.31/22.84 | % 56.31/22.84 | Combining equations (335,615) yields a new equation: % 56.31/22.84 | (616) e2 = e1 % 56.31/22.84 | % 56.31/22.84 | Simplifying 616 yields: % 56.31/22.84 | (617) e2 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (617) can reduce 122 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (619) ~ (all_0_48_48 = e1) % 56.31/22.84 | (671) all_0_49_49 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (671) can reduce 1064 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (880) ~ (all_0_58_58 = e1) % 56.31/22.84 | (795) all_0_58_58 = e3 % 56.31/22.84 | % 56.31/22.84 | Equations (795) can reduce 276 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (1890) ~ (all_0_42_42 = e4) % 56.31/22.84 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (75), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (485) all_0_40_40 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (485) can reduce 1401 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (1401) ~ (all_0_40_40 = e0) % 56.31/22.84 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (1748), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (1414) all_0_44_44 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (1414,532) yields a new equation: % 56.31/22.84 | (676) e3 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (676) can reduce 80 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (360) ~ (all_0_44_44 = e0) % 56.31/22.84 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (1760), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (978) all_0_49_49 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (978) can reduce 208 to: % 56.31/22.84 | (831) ~ (all_0_46_46 = e0) % 56.31/22.84 | % 56.31/22.84 | Equations (978) can reduce 256 to: % 56.31/22.84 | (401) ~ (e4 = e0) % 56.31/22.84 | % 56.31/22.84 | Simplifying 401 yields: % 56.31/22.84 | (49) ~ (e4 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (395), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (794) all_0_41_41 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (794) can reduce 214 to: % 56.31/22.84 | (5565) ~ (all_0_42_42 = e0) % 56.31/22.84 | % 56.31/22.84 | Simplifying 5565 yields: % 56.31/22.84 | (358) ~ (all_0_42_42 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (1969), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (559) all_0_42_42 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (559) can reduce 358 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (358) ~ (all_0_42_42 = e0) % 56.31/22.84 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (2510), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (459) all_0_42_42 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (459) can reduce 1380 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (1380) ~ (all_0_42_42 = e1) % 56.31/22.84 | (516) all_0_42_42 = e3 % 56.31/22.84 | % 56.31/22.84 | Equations (516) can reduce 405 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (357) ~ (all_0_41_41 = e0) % 56.31/22.84 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (64), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (437) all_0_41_41 = e4 % 56.31/22.84 | % 56.31/22.84 | Equations (437) can reduce 457 to: % 56.31/22.84 | (110) ~ (e4 = e1) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (112), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (635) all_0_44_44 = e1 % 56.31/22.84 | % 56.31/22.84 | Combining equations (635,532) yields a new equation: % 56.31/22.84 | (455) e3 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (455) can reduce 213 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (639) ~ (all_0_44_44 = e1) % 56.31/22.84 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (532) can reduce 639 to: % 56.31/22.84 | (213) ~ (e3 = e1) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (545) all_0_46_46 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (545) can reduce 831 to: % 56.31/22.84 | (233) ~ (e1 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (895), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (538) all_0_46_46 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (545,538) yields a new equation: % 56.31/22.84 | (546) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Simplifying 546 yields: % 56.31/22.84 | (431) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (431) can reduce 233 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (831) ~ (all_0_46_46 = e0) % 56.31/22.84 | (858) all_0_55_55 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (858) can reduce 803 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (549) ~ (all_0_46_46 = e1) % 56.31/22.84 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (18), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (453) all_0_41_41 = e1 % 56.31/22.84 | % 56.31/22.84 | Combining equations (453,437) yields a new equation: % 56.31/22.84 | (630) e4 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (630) can reduce 110 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (457) ~ (all_0_41_41 = e1) % 56.31/22.84 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (595), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (545) all_0_46_46 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (545) can reduce 549 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (549) ~ (all_0_46_46 = e1) % 56.31/22.84 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (600), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (601) all_0_50_50 = e1 % 56.31/22.84 | % 56.31/22.84 | Combining equations (601,415) yields a new equation: % 56.31/22.84 | (455) e3 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (455) can reduce 213 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (759) ~ (all_0_50_50 = e1) % 56.31/22.84 | (629) all_0_55_55 = e1 % 56.31/22.84 | % 56.31/22.84 | Equations (629) can reduce 803 to: % 56.31/22.84 | (233) ~ (e1 = e0) % 56.31/22.84 | % 56.31/22.84 +-Applying beta-rule and splitting (895), into two cases. % 56.31/22.84 |-Branch one: % 56.31/22.84 | (538) all_0_46_46 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (538) can reduce 831 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (831) ~ (all_0_46_46 = e0) % 56.31/22.84 | (858) all_0_55_55 = e0 % 56.31/22.84 | % 56.31/22.84 | Combining equations (629,858) yields a new equation: % 56.31/22.84 | (546) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Simplifying 546 yields: % 56.31/22.84 | (431) e1 = e0 % 56.31/22.84 | % 56.31/22.84 | Equations (431) can reduce 233 to: % 56.31/22.84 | (266) $false % 56.31/22.84 | % 56.31/22.84 |-The branch is then unsatisfiable % 56.31/22.84 |-Branch two: % 56.31/22.84 | (440) ~ (all_0_41_41 = e4) % 56.31/22.84 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (112), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (635) all_0_44_44 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (635,532) yields a new equation: % 56.31/22.85 | (455) e3 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (455) can reduce 213 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (639) ~ (all_0_44_44 = e1) % 56.31/22.85 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (532) can reduce 639 to: % 56.31/22.85 | (213) ~ (e3 = e1) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (640), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (671) all_0_49_49 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (978,671) yields a new equation: % 56.31/22.85 | (431) e1 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (431) can reduce 233 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1064) ~ (all_0_49_49 = e1) % 56.31/22.85 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (545) all_0_46_46 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (545) can reduce 300 to: % 56.31/22.85 | (604) ~ (e2 = e1) % 56.31/22.85 | % 56.31/22.85 | Simplifying 604 yields: % 56.31/22.85 | (122) ~ (e2 = e1) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (326), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (471) all_0_39_39 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (471,480) yields a new equation: % 56.31/22.85 | (481) e4 = e0 % 56.31/22.85 | % 56.31/22.85 | Simplifying 481 yields: % 56.31/22.85 | (397) e4 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (397) can reduce 49 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.85 | (1378) all_0_40_40 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (1378) can reduce 178 to: % 56.31/22.85 | (450) ~ (all_0_58_58 = e4) % 56.31/22.85 | % 56.31/22.85 | Simplifying 450 yields: % 56.31/22.85 | (451) ~ (all_0_58_58 = e4) % 56.31/22.85 | % 56.31/22.85 | Equations (1378) can reduce 2 to: % 56.31/22.85 | (188) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (171), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (265) all_0_54_54 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (265,268) yields a new equation: % 56.31/22.85 | (424) e4 = e3 % 56.31/22.85 | % 56.31/22.85 | Simplifying 424 yields: % 56.31/22.85 | (425) e4 = e3 % 56.31/22.85 | % 56.31/22.85 | Equations (425) can reduce 188 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (258) ~ (all_0_54_54 = e4) % 56.31/22.85 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (268) can reduce 258 to: % 56.31/22.85 | (277) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 | Simplifying 277 yields: % 56.31/22.85 | (188) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (2141), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (1208) all_0_53_53 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (607,1208) yields a new equation: % 56.31/22.85 | (616) e2 = e1 % 56.31/22.85 | % 56.31/22.85 | Simplifying 616 yields: % 56.31/22.85 | (617) e2 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (617) can reduce 122 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1459) ~ (all_0_53_53 = e1) % 56.31/22.85 | (918) all_0_58_58 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (918) can reduce 451 to: % 56.31/22.85 | (602) ~ (e4 = e1) % 56.31/22.85 | % 56.31/22.85 | Simplifying 602 yields: % 56.31/22.85 | (110) ~ (e4 = e1) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (441), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (1392) all_0_42_42 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (1392) can reduce 1890 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1890) ~ (all_0_42_42 = e4) % 56.31/22.85 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (1891), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (396) all_0_43_43 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (396,430) yields a new equation: % 56.31/22.85 | (636) e4 = e1 % 56.31/22.85 | % 56.31/22.85 | Simplifying 636 yields: % 56.31/22.85 | (630) e4 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (630) can reduce 110 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (399) ~ (all_0_43_43 = e4) % 56.31/22.85 | (446) all_0_44_44 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (532,446) yields a new equation: % 56.31/22.85 | (425) e4 = e3 % 56.31/22.85 | % 56.31/22.85 | Equations (425) can reduce 188 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (549) ~ (all_0_46_46 = e1) % 56.31/22.85 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (18), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (453) all_0_41_41 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (453) can reduce 457 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (457) ~ (all_0_41_41 = e1) % 56.31/22.85 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (595), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (545) all_0_46_46 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (545) can reduce 549 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (549) ~ (all_0_46_46 = e1) % 56.31/22.85 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (600), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (601) all_0_50_50 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (601,415) yields a new equation: % 56.31/22.85 | (455) e3 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (455) can reduce 213 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (759) ~ (all_0_50_50 = e1) % 56.31/22.85 | (629) all_0_55_55 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (629) can reduce 803 to: % 56.31/22.85 | (233) ~ (e1 = e0) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (895), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (538) all_0_46_46 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (538) can reduce 831 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (831) ~ (all_0_46_46 = e0) % 56.31/22.85 | (858) all_0_55_55 = e0 % 56.31/22.85 | % 56.31/22.85 | Combining equations (858,629) yields a new equation: % 56.31/22.85 | (431) e1 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (431) can reduce 233 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (487) ~ (all_0_49_49 = e0) % 56.31/22.85 | (914) all_0_58_58 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (914) can reduce 491 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (484) ~ (all_0_39_39 = e0) % 56.31/22.85 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (320), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (471) all_0_39_39 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (471) can reduce 145 to: % 56.31/22.85 | (1901) ~ (all_0_42_42 = e4) % 56.31/22.85 | % 56.31/22.85 | Simplifying 1901 yields: % 56.31/22.85 | (1890) ~ (all_0_42_42 = e4) % 56.31/22.85 | % 56.31/22.85 | Equations (471) can reduce 246 to: % 56.31/22.85 | (188) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 | Equations (471) can reduce 294 to: % 56.31/22.85 | (48) ~ (e4 = e2) % 56.31/22.85 | % 56.31/22.85 | Equations (471) can reduce 484 to: % 56.31/22.85 | (49) ~ (e4 = e0) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (333), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (480) all_0_39_39 = e0 % 56.31/22.85 | % 56.31/22.85 | Combining equations (480,471) yields a new equation: % 56.31/22.85 | (397) e4 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (397) can reduce 49 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (484) ~ (all_0_39_39 = e0) % 56.31/22.85 | (485) all_0_40_40 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (485) can reduce 200 to: % 56.31/22.85 | (486) ~ (all_0_49_49 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 486 yields: % 56.31/22.85 | (487) ~ (all_0_49_49 = e0) % 56.31/22.85 | % 56.31/22.85 | Equations (485) can reduce 178 to: % 56.31/22.85 | (490) ~ (all_0_58_58 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 490 yields: % 56.31/22.85 | (491) ~ (all_0_58_58 = e0) % 56.31/22.85 | % 56.31/22.85 | Equations (485) can reduce 2 to: % 56.31/22.85 | (541) ~ (e3 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 541 yields: % 56.31/22.85 | (80) ~ (e3 = e0) % 56.31/22.85 | % 56.31/22.85 | Equations (485) can reduce 296 to: % 56.31/22.85 | (365) ~ (e2 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 365 yields: % 56.31/22.85 | (128) ~ (e2 = e0) % 56.31/22.85 | % 56.31/22.85 | Equations (485) can reduce 132 to: % 56.31/22.85 | (435) ~ (e1 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 435 yields: % 56.31/22.85 | (233) ~ (e1 = e0) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (184), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (538) all_0_46_46 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (538) can reduce 43 to: % 56.31/22.85 | (357) ~ (all_0_41_41 = e0) % 56.31/22.85 | % 56.31/22.85 | Equations (538) can reduce 58 to: % 56.31/22.85 | (4444) ~ (all_0_55_55 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 4444 yields: % 56.31/22.85 | (803) ~ (all_0_55_55 = e0) % 56.31/22.85 | % 56.31/22.85 | Equations (538) can reduce 250 to: % 56.31/22.85 | (401) ~ (e4 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 401 yields: % 56.31/22.85 | (49) ~ (e4 = e0) % 56.31/22.85 | % 56.31/22.85 | From (538) and (120) follows: % 56.31/22.85 | (544) op(e2, e3) = e0 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (152), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (1392) all_0_42_42 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (1392) can reduce 1890 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1890) ~ (all_0_42_42 = e4) % 56.31/22.85 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (18), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (453) all_0_41_41 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (453) can reduce 457 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (457) ~ (all_0_41_41 = e1) % 56.31/22.85 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (27), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (437) all_0_41_41 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (437) can reduce 1898 to: % 56.31/22.85 | (188) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 | Equations (437) can reduce 85 to: % 56.31/22.85 | (48) ~ (e4 = e2) % 56.31/22.85 | % 56.31/22.85 | Equations (437) can reduce 357 to: % 56.31/22.85 | (49) ~ (e4 = e0) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (165), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (794) all_0_41_41 = e0 % 56.31/22.85 | % 56.31/22.85 | Combining equations (794,437) yields a new equation: % 56.31/22.85 | (397) e4 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (397) can reduce 49 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (357) ~ (all_0_41_41 = e0) % 56.31/22.85 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (437) can reduce 357 to: % 56.31/22.85 | (49) ~ (e4 = e0) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (545) all_0_46_46 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (538,545) yields a new equation: % 56.31/22.85 | (431) e1 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (431) can reduce 233 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (549) ~ (all_0_46_46 = e1) % 56.31/22.85 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (171), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (265) all_0_54_54 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (265,268) yields a new equation: % 56.31/22.85 | (424) e4 = e3 % 56.31/22.85 | % 56.31/22.85 | Simplifying 424 yields: % 56.31/22.85 | (425) e4 = e3 % 56.31/22.85 | % 56.31/22.85 | Equations (425) can reduce 188 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (258) ~ (all_0_54_54 = e4) % 56.31/22.85 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (268) can reduce 258 to: % 56.31/22.85 | (277) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 | Simplifying 277 yields: % 56.31/22.85 | (188) ~ (e4 = e3) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (150), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (1378) all_0_40_40 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (485,1378) yields a new equation: % 56.31/22.85 | (397) e4 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (397) can reduce 49 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (447) ~ (all_0_40_40 = e4) % 56.31/22.85 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (558), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (559) all_0_42_42 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (559) can reduce 1380 to: % 56.31/22.85 | (435) ~ (e1 = e0) % 56.31/22.85 | % 56.31/22.85 | Simplifying 435 yields: % 56.31/22.85 | (233) ~ (e1 = e0) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (2271), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (446) all_0_44_44 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (532,446) yields a new equation: % 56.31/22.85 | (425) e4 = e3 % 56.31/22.85 | % 56.31/22.85 | Equations (425) can reduce 188 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1390) ~ (all_0_44_44 = e4) % 56.31/22.85 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (595), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (545) all_0_46_46 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (538,545) yields a new equation: % 56.31/22.85 | (431) e1 = e0 % 56.31/22.85 | % 56.31/22.85 | Equations (431) can reduce 233 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (549) ~ (all_0_46_46 = e1) % 56.31/22.85 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (550), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (654) all_0_47_47 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (522,654) yields a new equation: % 56.31/22.85 | (454) e3 = e1 % 56.31/22.85 | % 56.31/22.85 | Simplifying 454 yields: % 56.31/22.85 | (455) e3 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (455) can reduce 213 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (462) ~ (all_0_47_47 = e1) % 56.31/22.85 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (7998), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (974) all_0_49_49 = e4 % 56.31/22.85 | % 56.31/22.85 | Equations (974) can reduce 256 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (256) ~ (all_0_49_49 = e4) % 56.31/22.85 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (659), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (615) all_0_48_48 = e1 % 56.31/22.85 | % 56.31/22.85 | Combining equations (335,615) yields a new equation: % 56.31/22.85 | (616) e2 = e1 % 56.31/22.85 | % 56.31/22.85 | Simplifying 616 yields: % 56.31/22.85 | (617) e2 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (617) can reduce 122 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (619) ~ (all_0_48_48 = e1) % 56.31/22.85 | (671) all_0_49_49 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (671) can reduce 525 to: % 56.31/22.85 | (467) ~ (e3 = e1) % 56.31/22.85 | % 56.31/22.85 | Simplifying 467 yields: % 56.31/22.85 | (213) ~ (e3 = e1) % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (216), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (629) all_0_55_55 = e1 % 56.31/22.85 | % 56.31/22.85 | Equations (629) can reduce 803 to: % 56.31/22.85 | (233) ~ (e1 = e0) % 56.31/22.85 | % 56.31/22.85 | From (629) and (74) follows: % 56.31/22.85 | (6587) op(e0, e3) = e1 % 56.31/22.85 | % 56.31/22.85 +-Applying beta-rule and splitting (8013), into two cases. % 56.31/22.85 |-Branch one: % 56.31/22.85 | (1298) all_0_53_53 = e4 % 56.31/22.85 | % 56.31/22.85 | Combining equations (607,1298) yields a new equation: % 56.31/22.85 | (323) e4 = e2 % 56.31/22.85 | % 56.31/22.85 | Equations (323) can reduce 48 to: % 56.31/22.85 | (266) $false % 56.31/22.85 | % 56.31/22.85 |-The branch is then unsatisfiable % 56.31/22.85 |-Branch two: % 56.31/22.85 | (1453) ~ (all_0_53_53 = e4) % 56.31/22.85 | (910) all_0_58_58 = e4 % 56.31/22.86 | % 56.31/22.86 | From (910) and (245) follows: % 56.31/22.86 | (2661) op(e0, e0) = e4 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (56), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (696) unit = e2 % 56.31/22.86 | % 56.31/22.86 | From (696) and (24) follows: % 56.31/22.86 | (697) op(e2, e3) = e3 % 56.31/22.86 | % 56.31/22.86 | From (696) and (211) follows: % 56.31/22.86 | (1612) op(e2, e1) = e1 % 56.31/22.86 | % 56.31/22.86 | From (696) and (32) follows: % 56.31/22.86 | (698) op(e2, e2) = e2 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 56.31/22.86 | (676) e3 = e0 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 56.31/22.86 | (662) e3 = e2 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 56.31/22.86 | (617) e2 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (676,662) yields a new equation: % 56.31/22.86 | (330) e2 = e0 % 56.31/22.86 | % 56.31/22.86 | Combining equations (617,330) yields a new equation: % 56.31/22.86 | (546) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 546 yields: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (707) ~ (unit = e2) % 56.31/22.86 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (708), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (709) unit = e4 % 56.31/22.86 | % 56.31/22.86 | From (709) and (227) follows: % 56.31/22.86 | (710) op(e4, e4) = e4 % 56.31/22.86 | % 56.31/22.86 | From (709) and (40) follows: % 56.31/22.86 | (711) op(e3, e4) = e3 % 56.31/22.86 | % 56.31/22.86 | From (709) and (32) follows: % 56.31/22.86 | (712) op(e2, e4) = e2 % 56.31/22.86 | % 56.31/22.86 | From (709) and (42) follows: % 56.31/22.86 | (713) op(e0, e4) = e0 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.31/22.86 | (630) e4 = e1 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.31/22.86 | (662) e3 = e2 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.31/22.86 | (323) e4 = e2 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.31/22.86 | (676) e3 = e0 % 56.31/22.86 | % 56.31/22.86 | Combining equations (323,630) yields a new equation: % 56.31/22.86 | (616) e2 = e1 % 56.31/22.86 | % 56.31/22.86 | Simplifying 616 yields: % 56.31/22.86 | (617) e2 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (662,676) yields a new equation: % 56.31/22.86 | (391) e2 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 391 yields: % 56.31/22.86 | (330) e2 = e0 % 56.31/22.86 | % 56.31/22.86 | Combining equations (330,617) yields a new equation: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (724) ~ (unit = e4) % 56.31/22.86 | (725) unit = e3 | unit = e1 | unit = e0 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (725), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (726) unit = e0 % 56.31/22.86 | % 56.31/22.86 | From (726) and (244) follows: % 56.31/22.86 | (2207) op(e0, e4) = e4 % 56.31/22.86 | % 56.31/22.86 | From (726) and (24) follows: % 56.31/22.86 | (2208) op(e0, e3) = e3 % 56.31/22.86 | % 56.31/22.86 | From (726) and (42) follows: % 56.31/22.86 | (728) op(e0, e0) = e0 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 56.31/22.86 | (425) e4 = e3 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 56.31/22.86 | (455) e3 = e1 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 56.31/22.86 | (397) e4 = e0 % 56.31/22.86 | % 56.31/22.86 | Combining equations (425,397) yields a new equation: % 56.31/22.86 | (675) e3 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 675 yields: % 56.31/22.86 | (676) e3 = e0 % 56.31/22.86 | % 56.31/22.86 | Combining equations (676,455) yields a new equation: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (734) ~ (unit = e0) % 56.31/22.86 | (735) unit = e3 | unit = e1 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (735), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (736) unit = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (736) can reduce 734 to: % 56.31/22.86 | (233) ~ (e1 = e0) % 56.31/22.86 | % 56.31/22.86 | From (736) and (15) follows: % 56.31/22.86 | (515) op(e1, e2) = e2 % 56.31/22.86 | % 56.31/22.86 | From (736) and (209) follows: % 56.31/22.86 | (2715) op(e1, e0) = e0 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.31/22.86 | (617) e2 = e1 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 56.31/22.86 | (330) e2 = e0 % 56.31/22.86 | % 56.31/22.86 | Combining equations (330,617) yields a new equation: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (748) ~ (unit = e1) % 56.31/22.86 | (749) unit = e3 % 56.31/22.86 | % 56.31/22.86 | From (749) and (209) follows: % 56.31/22.86 | (1667) op(e3, e0) = e0 % 56.31/22.86 | % 56.31/22.86 | From (749) and (28) follows: % 56.31/22.86 | (2235) op(e1, e3) = e1 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 56.31/22.86 | (676) e3 = e0 % 56.31/22.86 | % 56.31/22.86 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 56.31/22.86 | (455) e3 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (455,676) yields a new equation: % 56.31/22.86 | (546) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 546 yields: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (632) ~ (all_0_55_55 = e1) % 56.31/22.86 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (600), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (601) all_0_50_50 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (415,601) yields a new equation: % 56.31/22.86 | (454) e3 = e1 % 56.31/22.86 | % 56.31/22.86 | Simplifying 454 yields: % 56.31/22.86 | (455) e3 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (455) can reduce 213 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (759) ~ (all_0_50_50 = e1) % 56.31/22.86 | (629) all_0_55_55 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (629) can reduce 632 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (358) ~ (all_0_42_42 = e0) % 56.31/22.86 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (1969), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (559) all_0_42_42 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (559) can reduce 358 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (358) ~ (all_0_42_42 = e0) % 56.31/22.86 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (2510), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (459) all_0_42_42 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (459) can reduce 1380 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (1380) ~ (all_0_42_42 = e1) % 56.31/22.86 | (516) all_0_42_42 = e3 % 56.31/22.86 | % 56.31/22.86 | Equations (516) can reduce 405 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (440) ~ (all_0_41_41 = e4) % 56.31/22.86 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (595), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (545) all_0_46_46 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (545,538) yields a new equation: % 56.31/22.86 | (546) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 546 yields: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (549) ~ (all_0_46_46 = e1) % 56.31/22.86 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (538) can reduce 549 to: % 56.31/22.86 | (435) ~ (e1 = e0) % 56.31/22.86 | % 56.31/22.86 | Simplifying 435 yields: % 56.31/22.86 | (233) ~ (e1 = e0) % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (62), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (321) all_0_38_38 = e4 % 56.31/22.86 | % 56.31/22.86 | Combining equations (321,292) yields a new equation: % 56.31/22.86 | (322) e4 = e2 % 56.31/22.86 | % 56.31/22.86 | Simplifying 322 yields: % 56.31/22.86 | (323) e4 = e2 % 56.31/22.86 | % 56.31/22.86 | Equations (323) can reduce 48 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (325) ~ (all_0_38_38 = e4) % 56.31/22.86 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 56.31/22.86 | % 56.31/22.86 | Equations (292) can reduce 325 to: % 56.31/22.86 | (327) ~ (e4 = e2) % 56.31/22.86 | % 56.31/22.86 | Simplifying 327 yields: % 56.31/22.86 | (48) ~ (e4 = e2) % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (64), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (437) all_0_41_41 = e4 % 56.31/22.86 | % 56.31/22.86 | Equations (437) can reduce 440 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (440) ~ (all_0_41_41 = e4) % 56.31/22.86 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (545) all_0_46_46 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (545,538) yields a new equation: % 56.31/22.86 | (546) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 546 yields: % 56.31/22.86 | (431) e1 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (431) can reduce 233 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (549) ~ (all_0_46_46 = e1) % 56.31/22.86 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (150), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (1378) all_0_40_40 = e4 % 56.31/22.86 | % 56.31/22.86 | Combining equations (1378,485) yields a new equation: % 56.31/22.86 | (481) e4 = e0 % 56.31/22.86 | % 56.31/22.86 | Simplifying 481 yields: % 56.31/22.86 | (397) e4 = e0 % 56.31/22.86 | % 56.31/22.86 | Equations (397) can reduce 49 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (447) ~ (all_0_40_40 = e4) % 56.31/22.86 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (550), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (654) all_0_47_47 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (522,654) yields a new equation: % 56.31/22.86 | (454) e3 = e1 % 56.31/22.86 | % 56.31/22.86 | Simplifying 454 yields: % 56.31/22.86 | (455) e3 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (455) can reduce 213 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (462) ~ (all_0_47_47 = e1) % 56.31/22.86 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (2271), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (446) all_0_44_44 = e4 % 56.31/22.86 | % 56.31/22.86 | Combining equations (532,446) yields a new equation: % 56.31/22.86 | (425) e4 = e3 % 56.31/22.86 | % 56.31/22.86 | Equations (425) can reduce 188 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (1390) ~ (all_0_44_44 = e4) % 56.31/22.86 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (7998), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (974) all_0_49_49 = e4 % 56.31/22.86 | % 56.31/22.86 | Equations (974) can reduce 256 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (256) ~ (all_0_49_49 = e4) % 56.31/22.86 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (659), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (615) all_0_48_48 = e1 % 56.31/22.86 | % 56.31/22.86 | Combining equations (335,615) yields a new equation: % 56.31/22.86 | (616) e2 = e1 % 56.31/22.86 | % 56.31/22.86 | Simplifying 616 yields: % 56.31/22.86 | (617) e2 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (617) can reduce 122 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (619) ~ (all_0_48_48 = e1) % 56.31/22.86 | (671) all_0_49_49 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (671) can reduce 525 to: % 56.31/22.86 | (467) ~ (e3 = e1) % 56.31/22.86 | % 56.31/22.86 | Simplifying 467 yields: % 56.31/22.86 | (213) ~ (e3 = e1) % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (216), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (629) all_0_55_55 = e1 % 56.31/22.86 | % 56.31/22.86 | Equations (629) can reduce 3 to: % 56.31/22.86 | (879) ~ (all_0_58_58 = e1) % 56.31/22.86 | % 56.31/22.86 | Simplifying 879 yields: % 56.31/22.86 | (880) ~ (all_0_58_58 = e1) % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (582), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (437) all_0_41_41 = e4 % 56.31/22.86 | % 56.31/22.86 | Equations (437) can reduce 440 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (440) ~ (all_0_41_41 = e4) % 56.31/22.86 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (8013), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (1298) all_0_53_53 = e4 % 56.31/22.86 | % 56.31/22.86 | Combining equations (607,1298) yields a new equation: % 56.31/22.86 | (323) e4 = e2 % 56.31/22.86 | % 56.31/22.86 | Equations (323) can reduce 48 to: % 56.31/22.86 | (266) $false % 56.31/22.86 | % 56.31/22.86 |-The branch is then unsatisfiable % 56.31/22.86 |-Branch two: % 56.31/22.86 | (1453) ~ (all_0_53_53 = e4) % 56.31/22.86 | (910) all_0_58_58 = e4 % 56.31/22.86 | % 56.31/22.86 | Equations (910) can reduce 276 to: % 56.31/22.86 | (188) ~ (e4 = e3) % 56.31/22.86 | % 56.31/22.86 | Equations (910) can reduce 880 to: % 56.31/22.86 | (110) ~ (e4 = e1) % 56.31/22.86 | % 56.31/22.86 | Equations (910) can reduce 491 to: % 56.31/22.86 | (49) ~ (e4 = e0) % 56.31/22.86 | % 56.31/22.86 +-Applying beta-rule and splitting (769), into two cases. % 56.31/22.86 |-Branch one: % 56.31/22.86 | (770) all_0_46_46 = e4 % 56.31/22.86 | % 56.31/22.86 | Combining equations (538,770) yields a new equation: % 56.31/22.86 | (397) e4 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (397) can reduce 49 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (250) ~ (all_0_46_46 = e4) % 56.31/22.87 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (774), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (775) all_0_50_50 = e4 % 56.31/22.87 | % 56.31/22.87 | Combining equations (415,775) yields a new equation: % 56.31/22.87 | (425) e4 = e3 % 56.31/22.87 | % 56.31/22.87 | Equations (425) can reduce 188 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (566) ~ (all_0_50_50 = e4) % 56.31/22.87 | (587) all_0_55_55 = e4 % 56.31/22.87 | % 56.31/22.87 | Combining equations (587,629) yields a new equation: % 56.31/22.87 | (636) e4 = e1 % 56.31/22.87 | % 56.31/22.87 | Simplifying 636 yields: % 56.31/22.87 | (630) e4 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (630) can reduce 110 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (632) ~ (all_0_55_55 = e1) % 56.31/22.87 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (600), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (601) all_0_50_50 = e1 % 56.31/22.87 | % 56.31/22.87 | Combining equations (601,415) yields a new equation: % 56.31/22.87 | (455) e3 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (455) can reduce 213 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (759) ~ (all_0_50_50 = e1) % 56.31/22.87 | (629) all_0_55_55 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (629) can reduce 632 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (831) ~ (all_0_46_46 = e0) % 56.31/22.87 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (558), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (559) all_0_42_42 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (559) can reduce 405 to: % 56.31/22.87 | (541) ~ (e3 = e0) % 56.31/22.87 | % 56.31/22.87 | Simplifying 541 yields: % 56.31/22.87 | (80) ~ (e3 = e0) % 56.31/22.87 | % 56.31/22.87 | Equations (559) can reduce 51 to: % 56.31/22.87 | (365) ~ (e2 = e0) % 56.31/22.87 | % 56.31/22.87 | Simplifying 365 yields: % 56.31/22.87 | (128) ~ (e2 = e0) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (54), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (583) all_0_49_49 = e2 % 56.31/22.87 | % 56.31/22.87 | Equations (583) can reduce 340 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (340) ~ (all_0_49_49 = e2) % 56.31/22.87 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (586), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (974) all_0_49_49 = e4 % 56.31/22.87 | % 56.31/22.87 | Equations (974) can reduce 256 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (256) ~ (all_0_49_49 = e4) % 56.31/22.87 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (977), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (978) all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (978) can reduce 487 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (487) ~ (all_0_49_49 = e0) % 56.31/22.87 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (981), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (671) all_0_49_49 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (671) can reduce 487 to: % 56.31/22.87 | (233) ~ (e1 = e0) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (832), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (674) all_0_47_47 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (522,674) yields a new equation: % 56.31/22.87 | (675) e3 = e0 % 56.31/22.87 | % 56.31/22.87 | Simplifying 675 yields: % 56.31/22.87 | (676) e3 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (676) can reduce 80 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (678) ~ (all_0_47_47 = e0) % 56.31/22.87 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (1278), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (1279) all_0_48_48 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (335,1279) yields a new equation: % 56.31/22.87 | (391) e2 = e0 % 56.31/22.87 | % 56.31/22.87 | Simplifying 391 yields: % 56.31/22.87 | (330) e2 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (330) can reduce 128 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (1283) ~ (all_0_48_48 = e0) % 56.31/22.87 | (978) all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (671,978) yields a new equation: % 56.31/22.87 | (546) e1 = e0 % 56.31/22.87 | % 56.31/22.87 | Simplifying 546 yields: % 56.31/22.87 | (431) e1 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (431) can reduce 233 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (1064) ~ (all_0_49_49 = e1) % 56.31/22.87 | (884) all_0_49_49 = e3 % 56.31/22.87 | % 56.31/22.87 | Equations (884) can reduce 525 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (358) ~ (all_0_42_42 = e0) % 56.31/22.87 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (563), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (674) all_0_47_47 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (674,522) yields a new equation: % 56.31/22.87 | (676) e3 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (676) can reduce 80 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (678) ~ (all_0_47_47 = e0) % 56.31/22.87 | (679) all_0_56_56 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (833,679) yields a new equation: % 56.31/22.87 | (391) e2 = e0 % 56.31/22.87 | % 56.31/22.87 | Simplifying 391 yields: % 56.31/22.87 | (330) e2 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (330) can reduce 128 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.87 | (480) all_0_39_39 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (480) can reduce 484 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (1091) ~ (all_0_47_47 = e3) % 56.31/22.87 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (1092), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (660) all_0_51_51 = e3 % 56.31/22.87 | % 56.31/22.87 | Combining equations (1109,660) yields a new equation: % 56.31/22.87 | (455) e3 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (455) can reduce 213 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (664) ~ (all_0_51_51 = e3) % 56.31/22.87 | (1097) all_0_56_56 = e3 % 56.31/22.87 | % 56.31/22.87 | Combining equations (1097,833) yields a new equation: % 56.31/22.87 | (661) e3 = e2 % 56.31/22.87 | % 56.31/22.87 | Simplifying 661 yields: % 56.31/22.87 | (662) e3 = e2 % 56.31/22.87 | % 56.31/22.87 | Equations (662) can reduce 212 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (407) ~ (all_0_44_44 = e3) % 56.31/22.87 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (537), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (884) all_0_49_49 = e3 % 56.31/22.87 | % 56.31/22.87 | Equations (884) can reduce 200 to: % 56.31/22.87 | (2) ~ (all_0_40_40 = e3) % 56.31/22.87 | % 56.31/22.87 | Equations (884) can reduce 9 to: % 56.31/22.87 | (407) ~ (all_0_44_44 = e3) % 56.31/22.87 | % 56.31/22.87 | Equations (884) can reduce 119 to: % 56.31/22.87 | (275) ~ (all_0_58_58 = e3) % 56.31/22.87 | % 56.31/22.87 | Simplifying 275 yields: % 56.31/22.87 | (276) ~ (all_0_58_58 = e3) % 56.31/22.87 | % 56.31/22.87 | From (884) and (55) follows: % 56.31/22.87 | (1581) op(e2, e0) = e3 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (180), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (516) all_0_42_42 = e3 % 56.31/22.87 | % 56.31/22.87 | Equations (516) can reduce 145 to: % 56.31/22.87 | (246) ~ (all_0_39_39 = e3) % 56.31/22.87 | % 56.31/22.87 | Equations (516) can reduce 198 to: % 56.31/22.87 | (2538) ~ (all_0_47_47 = e3) % 56.31/22.87 | % 56.31/22.87 | Simplifying 2538 yields: % 56.31/22.87 | (1091) ~ (all_0_47_47 = e3) % 56.31/22.87 | % 56.31/22.87 | Equations (516) can reduce 1380 to: % 56.31/22.87 | (213) ~ (e3 = e1) % 56.31/22.87 | % 56.31/22.87 | From (516) and (210) follows: % 56.31/22.87 | (4285) op(e3, e2) = e3 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (112), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (635) all_0_44_44 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (635) can reduce 639 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (639) ~ (all_0_44_44 = e1) % 56.31/22.87 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (545) all_0_46_46 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (545) can reduce 43 to: % 56.31/22.87 | (457) ~ (all_0_41_41 = e1) % 56.31/22.87 | % 56.31/22.87 | Equations (545) can reduce 19 to: % 56.31/22.87 | (461) ~ (all_0_47_47 = e1) % 56.31/22.87 | % 56.31/22.87 | Simplifying 461 yields: % 56.31/22.87 | (462) ~ (all_0_47_47 = e1) % 56.31/22.87 | % 56.31/22.87 | Equations (545) can reduce 58 to: % 56.31/22.87 | (2331) ~ (all_0_55_55 = e1) % 56.31/22.87 | % 56.31/22.87 | Simplifying 2331 yields: % 56.31/22.87 | (632) ~ (all_0_55_55 = e1) % 56.31/22.87 | % 56.31/22.87 | Equations (545) can reduce 300 to: % 56.31/22.87 | (604) ~ (e2 = e1) % 56.31/22.87 | % 56.31/22.87 | Simplifying 604 yields: % 56.31/22.87 | (122) ~ (e2 = e1) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (216), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (629) all_0_55_55 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (629) can reduce 632 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (632) ~ (all_0_55_55 = e1) % 56.31/22.87 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (174), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (386) all_0_55_55 = e2 % 56.31/22.87 | % 56.31/22.87 | Equations (386) can reduce 304 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (304) ~ (all_0_55_55 = e2) % 56.31/22.87 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (105), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (1105) all_0_47_47 = e2 % 56.31/22.87 | % 56.31/22.87 | Equations (1105) can reduce 338 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (338) ~ (all_0_47_47 = e2) % 56.31/22.87 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (184), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (538) all_0_46_46 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (538,545) yields a new equation: % 56.31/22.87 | (431) e1 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (431) can reduce 233 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (831) ~ (all_0_46_46 = e0) % 56.31/22.87 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (545) can reduce 831 to: % 56.31/22.87 | (233) ~ (e1 = e0) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (395), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (794) all_0_41_41 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (794) can reduce 191 to: % 56.31/22.87 | (4444) ~ (all_0_55_55 = e0) % 56.31/22.87 | % 56.31/22.87 | Simplifying 4444 yields: % 56.31/22.87 | (803) ~ (all_0_55_55 = e0) % 56.31/22.87 | % 56.31/22.87 | Equations (794) can reduce 457 to: % 56.31/22.87 | (435) ~ (e1 = e0) % 56.31/22.87 | % 56.31/22.87 | Simplifying 435 yields: % 56.31/22.87 | (233) ~ (e1 = e0) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (1789), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (1790) all_0_47_47 = e4 % 56.31/22.87 | % 56.31/22.87 | Equations (1790) can reduce 252 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (252) ~ (all_0_47_47 = e4) % 56.31/22.87 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (633), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (1569) all_0_56_56 = e1 % 56.31/22.87 | % 56.31/22.87 | Combining equations (833,1569) yields a new equation: % 56.31/22.87 | (616) e2 = e1 % 56.31/22.87 | % 56.31/22.87 | Simplifying 616 yields: % 56.31/22.87 | (617) e2 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (617) can reduce 122 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (466) ~ (all_0_56_56 = e1) % 56.31/22.87 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (1574), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (647) all_0_57_57 = e1 % 56.31/22.87 | % 56.31/22.87 | Combining equations (875,647) yields a new equation: % 56.31/22.87 | (431) e1 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (431) can reduce 233 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (1670) ~ (all_0_57_57 = e1) % 56.31/22.87 | (918) all_0_58_58 = e1 % 56.31/22.87 | % 56.31/22.87 | Equations (918) can reduce 178 to: % 56.31/22.87 | (132) ~ (all_0_40_40 = e1) % 56.31/22.87 | % 56.31/22.87 | Equations (918) can reduce 3 to: % 56.31/22.87 | (632) ~ (all_0_55_55 = e1) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (2051), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (587) all_0_55_55 = e4 % 56.31/22.87 | % 56.31/22.87 | Equations (587) can reduce 803 to: % 56.31/22.87 | (49) ~ (e4 = e0) % 56.31/22.87 | % 56.31/22.87 | From (587) and (74) follows: % 56.31/22.87 | (589) op(e0, e3) = e4 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (164), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (471) all_0_39_39 = e4 % 56.31/22.87 | % 56.31/22.87 | Equations (471) can reduce 176 to: % 56.31/22.87 | (7398) ~ (all_0_40_40 = e4) % 56.31/22.87 | % 56.31/22.87 | Simplifying 7398 yields: % 56.31/22.87 | (447) ~ (all_0_40_40 = e4) % 56.31/22.87 | % 56.31/22.87 | Equations (471) can reduce 246 to: % 56.31/22.87 | (188) ~ (e4 = e3) % 56.31/22.87 | % 56.31/22.87 | Equations (471) can reduce 294 to: % 56.31/22.87 | (48) ~ (e4 = e2) % 56.31/22.87 | % 56.31/22.87 | Equations (471) can reduce 151 to: % 56.31/22.87 | (110) ~ (e4 = e1) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (26), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (446) all_0_44_44 = e4 % 56.31/22.87 | % 56.31/22.87 | Equations (446) can reduce 143 to: % 56.31/22.87 | (447) ~ (all_0_40_40 = e4) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (75), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (485) all_0_40_40 = e0 % 56.31/22.87 | % 56.31/22.87 | From (485) and (234) follows: % 56.31/22.87 | (3072) op(e4, e0) = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (832), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (674) all_0_47_47 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (674) can reduce 462 to: % 56.31/22.87 | (435) ~ (e1 = e0) % 56.31/22.87 | % 56.31/22.87 | Simplifying 435 yields: % 56.31/22.87 | (233) ~ (e1 = e0) % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (56), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (696) unit = e2 % 56.31/22.87 | % 56.31/22.87 | From (696) and (211) follows: % 56.31/22.87 | (1612) op(e2, e1) = e1 % 56.31/22.87 | % 56.31/22.87 | From (696) and (42) follows: % 56.31/22.87 | (1613) op(e0, e2) = e0 % 56.31/22.87 | % 56.31/22.87 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 56.31/22.87 | (617) e2 = e1 % 56.31/22.87 | % 56.31/22.87 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 56.31/22.87 | (330) e2 = e0 % 56.31/22.87 | % 56.31/22.87 | Combining equations (330,617) yields a new equation: % 56.31/22.87 | (431) e1 = e0 % 56.31/22.87 | % 56.31/22.87 | Equations (431) can reduce 233 to: % 56.31/22.87 | (266) $false % 56.31/22.87 | % 56.31/22.87 |-The branch is then unsatisfiable % 56.31/22.87 |-Branch two: % 56.31/22.87 | (707) ~ (unit = e2) % 56.31/22.87 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.31/22.87 | % 56.31/22.87 +-Applying beta-rule and splitting (708), into two cases. % 56.31/22.87 |-Branch one: % 56.31/22.87 | (709) unit = e4 % 56.31/22.87 | % 56.31/22.87 | From (709) and (227) follows: % 56.31/22.88 | (710) op(e4, e4) = e4 % 56.31/22.88 | % 56.31/22.88 | From (709) and (40) follows: % 56.31/22.88 | (711) op(e3, e4) = e3 % 56.31/22.88 | % 56.31/22.88 | From (709) and (32) follows: % 56.31/22.88 | (712) op(e2, e4) = e2 % 56.31/22.88 | % 56.31/22.88 | From (709) and (42) follows: % 56.31/22.88 | (713) op(e0, e4) = e0 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.31/22.88 | (630) e4 = e1 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.31/22.88 | (662) e3 = e2 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.31/22.88 | (323) e4 = e2 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.31/22.88 | (676) e3 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (323,630) yields a new equation: % 56.31/22.88 | (616) e2 = e1 % 56.31/22.88 | % 56.31/22.88 | Simplifying 616 yields: % 56.31/22.88 | (617) e2 = e1 % 56.31/22.88 | % 56.31/22.88 | Combining equations (662,676) yields a new equation: % 56.31/22.88 | (391) e2 = e0 % 56.31/22.88 | % 56.31/22.88 | Simplifying 391 yields: % 56.31/22.88 | (330) e2 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (330,617) yields a new equation: % 56.31/22.88 | (431) e1 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (431) can reduce 233 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (724) ~ (unit = e4) % 56.31/22.88 | (725) unit = e3 | unit = e1 | unit = e0 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (725), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (726) unit = e0 % 56.31/22.88 | % 56.31/22.88 | From (726) and (24) follows: % 56.31/22.88 | (2208) op(e0, e3) = e3 % 56.31/22.88 | % 56.31/22.88 | From (726) and (227) follows: % 56.31/22.88 | (3205) op(e4, e0) = e4 % 56.31/22.88 | % 56.31/22.88 | From (726) and (32) follows: % 56.31/22.88 | (727) op(e2, e0) = e2 % 56.31/22.88 | % 56.31/22.88 | From (726) and (28) follows: % 56.31/22.88 | (2698) op(e1, e0) = e1 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 56.31/22.88 | (397) e4 = e0 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 56.31/22.88 | (662) e3 = e2 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 56.31/22.88 | (617) e2 = e1 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 56.31/22.88 | (425) e4 = e3 % 56.31/22.88 | % 56.31/22.88 | Combining equations (397,425) yields a new equation: % 56.31/22.88 | (676) e3 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (676,662) yields a new equation: % 56.31/22.88 | (330) e2 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (330,617) yields a new equation: % 56.31/22.88 | (431) e1 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (431) can reduce 233 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (734) ~ (unit = e0) % 56.31/22.88 | (735) unit = e3 | unit = e1 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (735), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (736) unit = e1 % 56.31/22.88 | % 56.31/22.88 | Equations (736) can reduce 734 to: % 56.31/22.88 | (233) ~ (e1 = e0) % 56.31/22.88 | % 56.31/22.88 | From (736) and (15) follows: % 56.31/22.88 | (515) op(e1, e2) = e2 % 56.31/22.88 | % 56.31/22.88 | From (736) and (209) follows: % 56.31/22.88 | (2715) op(e1, e0) = e0 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.31/22.88 | (617) e2 = e1 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 56.31/22.88 | (330) e2 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (330,617) yields a new equation: % 56.31/22.88 | (431) e1 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (431) can reduce 233 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (748) ~ (unit = e1) % 56.31/22.88 | (749) unit = e3 % 56.31/22.88 | % 56.31/22.88 | From (749) and (244) follows: % 56.31/22.88 | (750) op(e3, e4) = e4 % 56.31/22.88 | % 56.31/22.88 | From (749) and (15) follows: % 56.31/22.88 | (751) op(e3, e2) = e2 % 56.31/22.88 | % 56.31/22.88 | From (749) and (28) follows: % 56.31/22.88 | (2235) op(e1, e3) = e1 % 56.31/22.88 | % 56.31/22.88 | From (749) and (42) follows: % 56.31/22.88 | (752) op(e0, e3) = e0 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 56.31/22.88 | (323) e4 = e2 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 56.31/22.88 | (662) e3 = e2 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 56.31/22.88 | (455) e3 = e1 % 56.31/22.88 | % 56.31/22.88 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.31/22.88 | (397) e4 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (397,323) yields a new equation: % 56.31/22.88 | (330) e2 = e0 % 56.31/22.88 | % 56.31/22.88 | Combining equations (662,455) yields a new equation: % 56.31/22.88 | (616) e2 = e1 % 56.31/22.88 | % 56.31/22.88 | Simplifying 616 yields: % 56.31/22.88 | (617) e2 = e1 % 56.31/22.88 | % 56.31/22.88 | Combining equations (330,617) yields a new equation: % 56.31/22.88 | (431) e1 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (431) can reduce 233 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (678) ~ (all_0_47_47 = e0) % 56.31/22.88 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (1793), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (674) all_0_47_47 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (674) can reduce 678 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (678) ~ (all_0_47_47 = e0) % 56.31/22.88 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (1831), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (654) all_0_47_47 = e1 % 56.31/22.88 | % 56.31/22.88 | Equations (654) can reduce 462 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (462) ~ (all_0_47_47 = e1) % 56.31/22.88 | (522) all_0_47_47 = e3 % 56.31/22.88 | % 56.31/22.88 | Equations (522) can reduce 1091 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1401) ~ (all_0_40_40 = e0) % 56.31/22.88 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (316), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (1378) all_0_40_40 = e4 % 56.31/22.88 | % 56.31/22.88 | Equations (1378) can reduce 447 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (447) ~ (all_0_40_40 = e4) % 56.31/22.88 | (485) all_0_40_40 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (485) can reduce 1401 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1390) ~ (all_0_44_44 = e4) % 56.31/22.88 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (316), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (1378) all_0_40_40 = e4 % 56.31/22.88 | % 56.31/22.88 | Equations (1378) can reduce 447 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (447) ~ (all_0_40_40 = e4) % 56.31/22.88 | (485) all_0_40_40 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (485) can reduce 447 to: % 56.31/22.88 | (401) ~ (e4 = e0) % 56.31/22.88 | % 56.31/22.88 | Simplifying 401 yields: % 56.31/22.88 | (49) ~ (e4 = e0) % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (150), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (1378) all_0_40_40 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (485,1378) yields a new equation: % 56.31/22.88 | (397) e4 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (397) can reduce 49 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (447) ~ (all_0_40_40 = e4) % 56.31/22.88 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (2271), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (446) all_0_44_44 = e4 % 56.31/22.88 | % 56.31/22.88 | Equations (446) can reduce 1390 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1390) ~ (all_0_44_44 = e4) % 56.31/22.88 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (7998), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (974) all_0_49_49 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (884,974) yields a new equation: % 56.31/22.88 | (425) e4 = e3 % 56.31/22.88 | % 56.31/22.88 | Equations (425) can reduce 188 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (256) ~ (all_0_49_49 = e4) % 56.31/22.88 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (8013), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (1298) all_0_53_53 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (607,1298) yields a new equation: % 56.31/22.88 | (323) e4 = e2 % 56.31/22.88 | % 56.31/22.88 | Equations (323) can reduce 48 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1453) ~ (all_0_53_53 = e4) % 56.31/22.88 | (910) all_0_58_58 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (910,918) yields a new equation: % 56.31/22.88 | (636) e4 = e1 % 56.31/22.88 | % 56.31/22.88 | Simplifying 636 yields: % 56.31/22.88 | (630) e4 = e1 % 56.31/22.88 | % 56.31/22.88 | Equations (630) can reduce 110 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.88 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (64), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (437) all_0_41_41 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (437,794) yields a new equation: % 56.31/22.88 | (481) e4 = e0 % 56.31/22.88 | % 56.31/22.88 | Simplifying 481 yields: % 56.31/22.88 | (397) e4 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (397) can reduce 49 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (440) ~ (all_0_41_41 = e4) % 56.31/22.88 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (326), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (471) all_0_39_39 = e4 % 56.31/22.88 | % 56.31/22.88 | Equations (471) can reduce 1377 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.88 | (1378) all_0_40_40 = e4 % 56.31/22.88 | % 56.31/22.88 | Equations (1378) can reduce 143 to: % 56.31/22.88 | (1903) ~ (all_0_44_44 = e4) % 56.31/22.88 | % 56.31/22.88 | Simplifying 1903 yields: % 56.31/22.88 | (1390) ~ (all_0_44_44 = e4) % 56.31/22.88 | % 56.31/22.88 | Equations (1378) can reduce 2 to: % 56.31/22.88 | (188) ~ (e4 = e3) % 56.31/22.88 | % 56.31/22.88 | Equations (1378) can reduce 132 to: % 56.31/22.88 | (110) ~ (e4 = e1) % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (441), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (1392) all_0_42_42 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (1392,516) yields a new equation: % 56.31/22.88 | (424) e4 = e3 % 56.31/22.88 | % 56.31/22.88 | Simplifying 424 yields: % 56.31/22.88 | (425) e4 = e3 % 56.31/22.88 | % 56.31/22.88 | Equations (425) can reduce 188 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (1890) ~ (all_0_42_42 = e4) % 56.31/22.88 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (1891), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (396) all_0_43_43 = e4 % 56.31/22.88 | % 56.31/22.88 | Combining equations (430,396) yields a new equation: % 56.31/22.88 | (630) e4 = e1 % 56.31/22.88 | % 56.31/22.88 | Equations (630) can reduce 110 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (399) ~ (all_0_43_43 = e4) % 56.31/22.88 | (446) all_0_44_44 = e4 % 56.31/22.88 | % 56.31/22.88 | Equations (446) can reduce 1390 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (763) ~ (all_0_55_55 = e4) % 56.31/22.88 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (2055), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (858) all_0_55_55 = e0 % 56.31/22.88 | % 56.31/22.88 | Equations (858) can reduce 803 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (803) ~ (all_0_55_55 = e0) % 56.31/22.88 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 56.31/22.88 | % 56.31/22.88 +-Applying beta-rule and splitting (2315), into two cases. % 56.31/22.88 |-Branch one: % 56.31/22.88 | (629) all_0_55_55 = e1 % 56.31/22.88 | % 56.31/22.88 | Equations (629) can reduce 632 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.88 |-Branch two: % 56.31/22.88 | (632) ~ (all_0_55_55 = e1) % 56.31/22.88 | (2336) all_0_55_55 = e3 % 56.31/22.88 | % 56.31/22.88 | Equations (2336) can reduce 270 to: % 56.31/22.88 | (266) $false % 56.31/22.88 | % 56.31/22.88 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (357) ~ (all_0_41_41 = e0) % 56.31/22.89 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (895), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (538) all_0_46_46 = e0 % 56.31/22.89 | % 56.31/22.89 | Combining equations (538,545) yields a new equation: % 56.31/22.89 | (431) e1 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (431) can reduce 233 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (831) ~ (all_0_46_46 = e0) % 56.31/22.89 | (858) all_0_55_55 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (858) can reduce 803 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (549) ~ (all_0_46_46 = e1) % 56.31/22.89 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (640), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (671) all_0_49_49 = e1 % 56.31/22.89 | % 56.31/22.89 | Combining equations (884,671) yields a new equation: % 56.31/22.89 | (454) e3 = e1 % 56.31/22.89 | % 56.31/22.89 | Simplifying 454 yields: % 56.31/22.89 | (455) e3 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (455) can reduce 213 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1064) ~ (all_0_49_49 = e1) % 56.31/22.89 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (2141), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1208) all_0_53_53 = e1 % 56.31/22.89 | % 56.31/22.89 | Combining equations (607,1208) yields a new equation: % 56.31/22.89 | (616) e2 = e1 % 56.31/22.89 | % 56.31/22.89 | Simplifying 616 yields: % 56.31/22.89 | (617) e2 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (617) can reduce 122 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1459) ~ (all_0_53_53 = e1) % 56.31/22.89 | (918) all_0_58_58 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (918) can reduce 3 to: % 56.31/22.89 | (632) ~ (all_0_55_55 = e1) % 56.31/22.89 | % 56.31/22.89 | Equations (918) can reduce 276 to: % 56.31/22.89 | (467) ~ (e3 = e1) % 56.31/22.89 | % 56.31/22.89 | Simplifying 467 yields: % 56.31/22.89 | (213) ~ (e3 = e1) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (18), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (453) all_0_41_41 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (453) can reduce 457 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (457) ~ (all_0_41_41 = e1) % 56.31/22.89 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (595), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (545) all_0_46_46 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (545) can reduce 549 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (549) ~ (all_0_46_46 = e1) % 56.31/22.89 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (600), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (601) all_0_50_50 = e1 % 56.31/22.89 | % 56.31/22.89 | Combining equations (415,601) yields a new equation: % 56.31/22.89 | (454) e3 = e1 % 56.31/22.89 | % 56.31/22.89 | Simplifying 454 yields: % 56.31/22.89 | (455) e3 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (455) can reduce 213 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (759) ~ (all_0_50_50 = e1) % 56.31/22.89 | (629) all_0_55_55 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (629) can reduce 632 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (405) ~ (all_0_42_42 = e3) % 56.31/22.89 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (1899), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (516) all_0_42_42 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (516) can reduce 405 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (405) ~ (all_0_42_42 = e3) % 56.31/22.89 | (532) all_0_44_44 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (532) can reduce 407 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (525) ~ (all_0_49_49 = e3) % 56.31/22.89 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (1899), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (516) all_0_42_42 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (516) can reduce 51 to: % 56.31/22.89 | (212) ~ (e3 = e2) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (887), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (665) all_0_53_53 = e3 % 56.31/22.89 | % 56.31/22.89 | Combining equations (607,665) yields a new equation: % 56.31/22.89 | (662) e3 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (662) can reduce 212 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (903) ~ (all_0_53_53 = e3) % 56.31/22.89 | (795) all_0_58_58 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (795) can reduce 276 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (405) ~ (all_0_42_42 = e3) % 56.31/22.89 | (532) all_0_44_44 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (532) can reduce 407 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (511) ~ (all_0_56_56 = e2) % 56.31/22.89 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (1709), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (442) all_0_57_57 = e2 % 56.31/22.89 | % 56.31/22.89 | Combining equations (875,442) yields a new equation: % 56.31/22.89 | (330) e2 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (330) can reduce 128 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (344) ~ (all_0_57_57 = e2) % 56.31/22.89 | (624) all_0_58_58 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (624) can reduce 908 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (509) ~ (all_0_53_53 = e2) % 56.31/22.89 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (377), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (583) all_0_49_49 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (583) can reduce 340 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (340) ~ (all_0_49_49 = e2) % 56.31/22.89 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (614), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (607) all_0_53_53 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (607) can reduce 509 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (509) ~ (all_0_53_53 = e2) % 56.31/22.89 | (624) all_0_58_58 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (624) can reduce 44 to: % 56.31/22.89 | (511) ~ (all_0_56_56 = e2) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (112), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (635) all_0_44_44 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (635) can reduce 639 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (639) ~ (all_0_44_44 = e1) % 56.31/22.89 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (385), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1105) all_0_47_47 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (1105) can reduce 338 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (338) ~ (all_0_47_47 = e2) % 56.31/22.89 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (133), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (833) all_0_56_56 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (833) can reduce 511 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (511) ~ (all_0_56_56 = e2) % 56.31/22.89 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (836), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (842) all_0_56_56 = e4 % 56.31/22.89 | % 56.31/22.89 | Equations (842) can reduce 154 to: % 56.31/22.89 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.89 | % 56.31/22.89 | Equations (842) can reduce 272 to: % 56.31/22.89 | (188) ~ (e4 = e3) % 56.31/22.89 | % 56.31/22.89 | Equations (842) can reduce 511 to: % 56.31/22.89 | (48) ~ (e4 = e2) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (640), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (671) all_0_49_49 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (671) can reduce 65 to: % 56.31/22.89 | (1458) ~ (all_0_53_53 = e1) % 56.31/22.89 | % 56.31/22.89 | Simplifying 1458 yields: % 56.31/22.89 | (1459) ~ (all_0_53_53 = e1) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (78), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (423) all_0_45_45 = e3 % 56.31/22.89 | % 56.31/22.89 | Combining equations (248,423) yields a new equation: % 56.31/22.89 | (424) e4 = e3 % 56.31/22.89 | % 56.31/22.89 | Simplifying 424 yields: % 56.31/22.89 | (425) e4 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (425) can reduce 188 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (427) ~ (all_0_45_45 = e3) % 56.31/22.89 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (189), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (532) all_0_44_44 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (532) can reduce 220 to: % 56.31/22.89 | (1114) ~ (all_0_53_53 = e3) % 56.31/22.89 | % 56.31/22.89 | Simplifying 1114 yields: % 56.31/22.89 | (903) ~ (all_0_53_53 = e3) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (75), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (485) all_0_40_40 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (485) can reduce 176 to: % 56.31/22.89 | (484) ~ (all_0_39_39 = e0) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (104), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (480) all_0_39_39 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (480) can reduce 484 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (484) ~ (all_0_39_39 = e0) % 56.31/22.89 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (320), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (471) all_0_39_39 = e4 % 56.31/22.89 | % 56.31/22.89 | Equations (471) can reduce 1377 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1377) ~ (all_0_39_39 = e4) % 56.31/22.89 | (480) all_0_39_39 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (480) can reduce 484 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1401) ~ (all_0_40_40 = e0) % 56.31/22.89 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (150), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1378) all_0_40_40 = e4 % 56.31/22.89 | % 56.31/22.89 | Equations (1378) can reduce 162 to: % 56.31/22.89 | (1452) ~ (all_0_53_53 = e4) % 56.31/22.89 | % 56.31/22.89 | Simplifying 1452 yields: % 56.31/22.89 | (1453) ~ (all_0_53_53 = e4) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (610), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1298) all_0_53_53 = e4 % 56.31/22.89 | % 56.31/22.89 | Equations (1298) can reduce 1453 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1453) ~ (all_0_53_53 = e4) % 56.31/22.89 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (1694), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1208) all_0_53_53 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (1208) can reduce 1459 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1459) ~ (all_0_53_53 = e1) % 56.31/22.89 | (665) all_0_53_53 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (665) can reduce 903 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (447) ~ (all_0_40_40 = e4) % 56.31/22.89 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (316), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1378) all_0_40_40 = e4 % 56.31/22.89 | % 56.31/22.89 | Equations (1378) can reduce 447 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (447) ~ (all_0_40_40 = e4) % 56.31/22.89 | (485) all_0_40_40 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (485) can reduce 1401 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (407) ~ (all_0_44_44 = e3) % 56.31/22.89 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (428), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (1557) all_0_46_46 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (1557) can reduce 409 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (409) ~ (all_0_46_46 = e3) % 56.31/22.89 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (537), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (884) all_0_49_49 = e3 % 56.31/22.89 | % 56.31/22.89 | Combining equations (671,884) yields a new equation: % 56.31/22.89 | (455) e3 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (455) can reduce 213 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (525) ~ (all_0_49_49 = e3) % 56.31/22.89 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (671) can reduce 525 to: % 56.31/22.89 | (467) ~ (e3 = e1) % 56.31/22.89 | % 56.31/22.89 | Simplifying 467 yields: % 56.31/22.89 | (213) ~ (e3 = e1) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (1561), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (522) all_0_47_47 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (522) can reduce 338 to: % 56.31/22.89 | (212) ~ (e3 = e2) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (887), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (665) all_0_53_53 = e3 % 56.31/22.89 | % 56.31/22.89 | Equations (665) can reduce 903 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (903) ~ (all_0_53_53 = e3) % 56.31/22.89 | (795) all_0_58_58 = e3 % 56.31/22.89 | % 56.31/22.89 | Combining equations (624,795) yields a new equation: % 56.31/22.89 | (662) e3 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (662) can reduce 212 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1091) ~ (all_0_47_47 = e3) % 56.31/22.89 | (884) all_0_49_49 = e3 % 56.31/22.89 | % 56.31/22.89 | Combining equations (671,884) yields a new equation: % 56.31/22.89 | (455) e3 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (455) can reduce 213 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1064) ~ (all_0_49_49 = e1) % 56.31/22.89 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (135), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (545) all_0_46_46 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (545) can reduce 300 to: % 56.31/22.89 | (604) ~ (e2 = e1) % 56.31/22.89 | % 56.31/22.89 | Simplifying 604 yields: % 56.31/22.89 | (122) ~ (e2 = e1) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (381), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (504) all_0_51_51 = e2 % 56.31/22.89 | % 56.31/22.89 | Combining equations (1109,504) yields a new equation: % 56.31/22.89 | (617) e2 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (617) can reduce 122 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1099) ~ (all_0_51_51 = e2) % 56.31/22.89 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (1109) can reduce 1099 to: % 56.31/22.89 | (604) ~ (e2 = e1) % 56.31/22.89 | % 56.31/22.89 | Simplifying 604 yields: % 56.31/22.89 | (122) ~ (e2 = e1) % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (1108), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (504) all_0_51_51 = e2 % 56.31/22.89 | % 56.31/22.89 | Combining equations (1109,504) yields a new equation: % 56.31/22.89 | (617) e2 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (617) can reduce 122 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (1099) ~ (all_0_51_51 = e2) % 56.31/22.89 | (833) all_0_56_56 = e2 % 56.31/22.89 | % 56.31/22.89 | Combining equations (833,842) yields a new equation: % 56.31/22.89 | (323) e4 = e2 % 56.31/22.89 | % 56.31/22.89 | Equations (323) can reduce 48 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (549) ~ (all_0_46_46 = e1) % 56.31/22.89 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (550), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (654) all_0_47_47 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (654) can reduce 462 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (462) ~ (all_0_47_47 = e1) % 56.31/22.89 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (659), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (615) all_0_48_48 = e1 % 56.31/22.89 | % 56.31/22.89 | Combining equations (335,615) yields a new equation: % 56.31/22.89 | (616) e2 = e1 % 56.31/22.89 | % 56.31/22.89 | Simplifying 616 yields: % 56.31/22.89 | (617) e2 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (617) can reduce 122 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (619) ~ (all_0_48_48 = e1) % 56.31/22.89 | (671) all_0_49_49 = e1 % 56.31/22.89 | % 56.31/22.89 | Equations (671) can reduce 1064 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (477) ~ (all_0_56_56 = e4) % 56.31/22.89 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 56.31/22.89 | % 56.31/22.89 +-Applying beta-rule and splitting (845), into two cases. % 56.31/22.89 |-Branch one: % 56.31/22.89 | (679) all_0_56_56 = e0 % 56.31/22.89 | % 56.31/22.89 | Equations (679) can reduce 828 to: % 56.31/22.89 | (266) $false % 56.31/22.89 | % 56.31/22.89 |-The branch is then unsatisfiable % 56.31/22.89 |-Branch two: % 56.31/22.89 | (828) ~ (all_0_56_56 = e0) % 56.31/22.90 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (3172), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (1569) all_0_56_56 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (1569) can reduce 466 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (466) ~ (all_0_56_56 = e1) % 56.31/22.90 | (1097) all_0_56_56 = e3 % 56.31/22.90 | % 56.31/22.90 | Equations (1097) can reduce 272 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (464) ~ (all_0_51_51 = e1) % 56.31/22.90 | (660) all_0_51_51 = e3 % 56.31/22.90 | % 56.31/22.90 | Equations (660) can reduce 664 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (411) ~ (all_0_50_50 = e3) % 56.31/22.90 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (422), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (775) all_0_50_50 = e4 % 56.31/22.90 | % 56.31/22.90 | Equations (775) can reduce 566 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (566) ~ (all_0_50_50 = e4) % 56.31/22.90 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (1444), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (601) all_0_50_50 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (601) can reduce 221 to: % 56.31/22.90 | (457) ~ (all_0_41_41 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (601) can reduce 35 to: % 56.31/22.90 | (549) ~ (all_0_46_46 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (601) can reduce 59 to: % 56.31/22.90 | (463) ~ (all_0_51_51 = e1) % 56.31/22.90 | % 56.31/22.90 | Simplifying 463 yields: % 56.31/22.90 | (464) ~ (all_0_51_51 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (601) can reduce 190 to: % 56.31/22.90 | (1458) ~ (all_0_53_53 = e1) % 56.31/22.90 | % 56.31/22.90 | Simplifying 1458 yields: % 56.31/22.90 | (1459) ~ (all_0_53_53 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (601) can reduce 93 to: % 56.31/22.90 | (2331) ~ (all_0_55_55 = e1) % 56.31/22.90 | % 56.31/22.90 | Simplifying 2331 yields: % 56.31/22.90 | (632) ~ (all_0_55_55 = e1) % 56.31/22.90 | % 56.31/22.90 | From (601) and (57) follows: % 56.31/22.90 | (606) op(e1, e1) = all_0_22_22 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (174), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (386) all_0_55_55 = e2 % 56.31/22.90 | % 56.31/22.90 | Equations (386) can reduce 304 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (304) ~ (all_0_55_55 = e2) % 56.31/22.90 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (2051), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (587) all_0_55_55 = e4 % 56.31/22.90 | % 56.31/22.90 | Equations (587) can reduce 191 to: % 56.31/22.90 | (440) ~ (all_0_41_41 = e4) % 56.31/22.90 | % 56.31/22.90 | Equations (587) can reduce 58 to: % 56.31/22.90 | (250) ~ (all_0_46_46 = e4) % 56.31/22.90 | % 56.31/22.90 | Equations (587) can reduce 153 to: % 56.31/22.90 | (476) ~ (all_0_56_56 = e4) % 56.31/22.90 | % 56.31/22.90 | Simplifying 476 yields: % 56.31/22.90 | (477) ~ (all_0_56_56 = e4) % 56.31/22.90 | % 56.31/22.90 | Equations (587) can reduce 3 to: % 56.31/22.90 | (450) ~ (all_0_58_58 = e4) % 56.31/22.90 | % 56.31/22.90 | Simplifying 450 yields: % 56.31/22.90 | (451) ~ (all_0_58_58 = e4) % 56.31/22.90 | % 56.31/22.90 | Equations (587) can reduce 803 to: % 56.31/22.90 | (49) ~ (e4 = e0) % 56.31/22.90 | % 56.31/22.90 | From (587) and (187) follows: % 56.31/22.90 | (8737) op(e4, e3) = all_0_32_32 % 56.31/22.90 | % 56.31/22.90 | From (587) and (74) follows: % 56.31/22.90 | (589) op(e0, e3) = e4 % 56.31/22.90 | % 56.31/22.90 | Instantiating formula (29) with e4, e3, all_0_32_32, e2 and discharging atoms op(e4, e3) = all_0_32_32, op(e4, e3) = e2, yields: % 56.31/22.90 | (8739) all_0_32_32 = e2 % 56.31/22.90 | % 56.31/22.90 | Instantiating formula (29) with e1, e1, all_0_22_22, e4 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 56.31/22.90 | (686) all_0_22_22 = e4 % 56.31/22.90 | % 56.31/22.90 | From (686) and (606) follows: % 56.31/22.90 | (570) op(e1, e1) = e4 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (7), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (504) all_0_51_51 = e2 % 56.31/22.90 | % 56.31/22.90 | Equations (504) can reduce 139 to: % 56.31/22.90 | (294) ~ (all_0_39_39 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (504) can reduce 61 to: % 56.31/22.90 | (51) ~ (all_0_42_42 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (504) can reduce 224 to: % 56.31/22.90 | (338) ~ (all_0_47_47 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (504) can reduce 6 to: % 56.31/22.90 | (508) ~ (all_0_53_53 = e2) % 56.31/22.90 | % 56.31/22.90 | Simplifying 508 yields: % 56.31/22.90 | (509) ~ (all_0_53_53 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (504) can reduce 464 to: % 56.31/22.90 | (122) ~ (e2 = e1) % 56.31/22.90 | % 56.31/22.90 | From (504) and (177) follows: % 56.31/22.90 | (514) op(e2, e2) = all_0_25_25 % 56.31/22.90 | % 56.31/22.90 | From (504) and (186) follows: % 56.31/22.90 | (515) op(e1, e2) = e2 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (196), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (607) all_0_53_53 = e2 % 56.31/22.90 | % 56.31/22.90 | Equations (607) can reduce 509 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (509) ~ (all_0_53_53 = e2) % 56.31/22.90 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (377), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (583) all_0_49_49 = e2 % 56.31/22.90 | % 56.31/22.90 | Equations (583) can reduce 340 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (340) ~ (all_0_49_49 = e2) % 56.31/22.90 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (614), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (607) all_0_53_53 = e2 % 56.31/22.90 | % 56.31/22.90 | Equations (607) can reduce 509 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (509) ~ (all_0_53_53 = e2) % 56.31/22.90 | (624) all_0_58_58 = e2 % 56.31/22.90 | % 56.31/22.90 | Equations (624) can reduce 178 to: % 56.31/22.90 | (296) ~ (all_0_40_40 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (624) can reduce 181 to: % 56.31/22.90 | (147) ~ (all_0_44_44 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (624) can reduce 119 to: % 56.31/22.90 | (340) ~ (all_0_49_49 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (624) can reduce 451 to: % 56.31/22.90 | (327) ~ (e4 = e2) % 56.31/22.90 | % 56.31/22.90 | Simplifying 327 yields: % 56.31/22.90 | (48) ~ (e4 = e2) % 56.31/22.90 | % 56.31/22.90 | Equations (624) can reduce 276 to: % 56.31/22.90 | (626) ~ (e3 = e2) % 56.31/22.90 | % 56.31/22.90 | Simplifying 626 yields: % 56.31/22.90 | (212) ~ (e3 = e2) % 56.31/22.90 | % 56.31/22.90 | From (624) and (245) follows: % 56.31/22.90 | (628) op(e0, e0) = e2 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (112), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (635) all_0_44_44 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (635) can reduce 639 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (639) ~ (all_0_44_44 = e1) % 56.31/22.90 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (640), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (671) all_0_49_49 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (671) can reduce 200 to: % 56.31/22.90 | (132) ~ (all_0_40_40 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (671) can reduce 9 to: % 56.31/22.90 | (639) ~ (all_0_44_44 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (671) can reduce 208 to: % 56.31/22.90 | (549) ~ (all_0_46_46 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (671) can reduce 86 to: % 56.31/22.90 | (462) ~ (all_0_47_47 = e1) % 56.31/22.90 | % 56.31/22.90 | Equations (671) can reduce 340 to: % 56.31/22.90 | (604) ~ (e2 = e1) % 56.31/22.90 | % 56.31/22.90 | Simplifying 604 yields: % 56.31/22.90 | (122) ~ (e2 = e1) % 56.31/22.90 | % 56.31/22.90 | From (671) and (129) follows: % 56.31/22.90 | (672) op(e1, e2) = all_0_20_20 % 56.31/22.90 | % 56.31/22.90 | From (671) and (66) follows: % 56.31/22.90 | (4238) op(e1, e0) = all_0_21_21 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (131), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (459) all_0_42_42 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (459) can reduce 1380 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (1380) ~ (all_0_42_42 = e1) % 56.31/22.90 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (610), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (1298) all_0_53_53 = e4 % 56.31/22.90 | % 56.31/22.90 | Equations (1298) can reduce 1453 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (1453) ~ (all_0_53_53 = e4) % 56.31/22.90 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (3259), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (654) all_0_47_47 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (654) can reduce 462 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (462) ~ (all_0_47_47 = e1) % 56.31/22.90 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 56.31/22.90 | % 56.31/22.90 +-Applying beta-rule and splitting (3264), into two cases. % 56.31/22.90 |-Branch one: % 56.31/22.90 | (1109) all_0_51_51 = e1 % 56.31/22.90 | % 56.31/22.90 | Combining equations (504,1109) yields a new equation: % 56.31/22.90 | (616) e2 = e1 % 56.31/22.90 | % 56.31/22.90 | Simplifying 616 yields: % 56.31/22.90 | (617) e2 = e1 % 56.31/22.90 | % 56.31/22.90 | Equations (617) can reduce 122 to: % 56.31/22.90 | (266) $false % 56.31/22.90 | % 56.31/22.90 |-The branch is then unsatisfiable % 56.31/22.90 |-Branch two: % 56.31/22.90 | (464) ~ (all_0_51_51 = e1) % 56.31/22.90 | (1569) all_0_56_56 = e1 % 56.66/22.90 | % 56.66/22.90 | Equations (1569) can reduce 154 to: % 56.66/22.90 | (151) ~ (all_0_39_39 = e1) % 56.66/22.90 | % 56.66/22.90 | Equations (1569) can reduce 236 to: % 56.66/22.90 | (1380) ~ (all_0_42_42 = e1) % 56.66/22.90 | % 56.66/22.90 | Equations (1569) can reduce 91 to: % 56.66/22.90 | (462) ~ (all_0_47_47 = e1) % 56.66/22.90 | % 56.66/22.90 | Equations (1569) can reduce 477 to: % 56.66/22.90 | (602) ~ (e4 = e1) % 56.66/22.90 | % 56.66/22.90 | Simplifying 602 yields: % 56.66/22.90 | (110) ~ (e4 = e1) % 56.66/22.90 | % 56.66/22.90 | From (1569) and (87) follows: % 56.66/22.90 | (5145) op(e1, e2) = all_0_34_34 % 56.66/22.90 | % 56.66/22.90 | From (1569) and (127) follows: % 56.66/22.90 | (5595) op(e1, e0) = all_0_33_33 % 56.66/22.90 | % 56.66/22.90 | From (1569) and (111) follows: % 56.66/22.90 | (3175) op(e0, e2) = e1 % 56.66/22.90 | % 56.66/22.90 +-Applying beta-rule and splitting (418), into two cases. % 56.66/22.90 |-Branch one: % 56.66/22.90 | (660) all_0_51_51 = e3 % 56.66/22.90 | % 56.66/22.90 | Combining equations (660,504) yields a new equation: % 56.66/22.90 | (661) e3 = e2 % 56.66/22.90 | % 56.66/22.90 | Simplifying 661 yields: % 56.66/22.90 | (662) e3 = e2 % 56.66/22.90 | % 56.66/22.90 | Equations (662) can reduce 212 to: % 56.66/22.90 | (266) $false % 56.66/22.90 | % 56.66/22.90 |-The branch is then unsatisfiable % 56.66/22.90 |-Branch two: % 56.66/22.90 | (664) ~ (all_0_51_51 = e3) % 56.66/22.90 | (665) all_0_53_53 = e3 % 56.66/22.90 | % 56.66/22.90 | Equations (665) can reduce 162 to: % 56.66/22.90 | (2) ~ (all_0_40_40 = e3) % 56.66/22.90 | % 56.66/22.90 | Equations (665) can reduce 220 to: % 56.66/22.90 | (407) ~ (all_0_44_44 = e3) % 56.66/22.90 | % 56.66/22.90 | Equations (665) can reduce 1453 to: % 56.66/22.90 | (277) ~ (e4 = e3) % 56.66/22.90 | % 56.66/22.90 | Simplifying 277 yields: % 56.66/22.90 | (188) ~ (e4 = e3) % 56.66/22.90 | % 56.66/22.90 | Equations (665) can reduce 247 to: % 56.66/22.90 | (80) ~ (e3 = e0) % 56.66/22.90 | % 56.66/22.90 | From (665) and (84) follows: % 56.66/22.90 | (3786) op(e1, e0) = e3 % 56.66/22.90 | % 56.66/22.90 | Instantiating formula (29) with e2, e2, all_0_25_25, all_0_47_47 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = all_0_47_47, yields: % 56.66/22.90 | (6482) all_0_25_25 = all_0_47_47 % 56.66/22.90 | % 56.66/22.90 | Instantiating formula (29) with e1, e2, all_0_34_34, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = all_0_34_34, yields: % 56.66/22.90 | (5157) all_0_20_20 = all_0_34_34 % 56.66/22.90 | % 56.66/22.90 | Instantiating formula (29) with e1, e2, e2, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = e2, yields: % 56.66/22.90 | (684) all_0_20_20 = e2 % 56.66/22.90 | % 56.66/22.90 | Instantiating formula (29) with e1, e0, all_0_33_33, all_0_21_21 and discharging atoms op(e1, e0) = all_0_21_21, op(e1, e0) = all_0_33_33, yields: % 56.66/22.90 | (8825) all_0_21_21 = all_0_33_33 % 56.66/22.90 | % 56.66/22.90 | Instantiating formula (29) with e1, e0, e3, all_0_21_21 and discharging atoms op(e1, e0) = all_0_21_21, op(e1, e0) = e3, yields: % 56.66/22.91 | (8826) all_0_21_21 = e3 % 56.66/22.91 | % 56.66/22.91 | Combining equations (5157,684) yields a new equation: % 56.66/22.91 | (5726) all_0_34_34 = e2 % 56.66/22.91 | % 56.66/22.91 | Simplifying 5726 yields: % 56.66/22.91 | (5160) all_0_34_34 = e2 % 56.66/22.91 | % 56.66/22.91 | Combining equations (8826,8825) yields a new equation: % 56.66/22.91 | (1602) all_0_33_33 = e3 % 56.66/22.91 | % 56.66/22.91 | From (6482) and (514) follows: % 56.66/22.91 | (23) op(e2, e2) = all_0_47_47 % 56.66/22.91 | % 56.66/22.91 | From (5160) and (5145) follows: % 56.66/22.91 | (515) op(e1, e2) = e2 % 56.66/22.91 | % 56.66/22.91 | From (1602) and (5595) follows: % 56.66/22.91 | (3786) op(e1, e0) = e3 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (113), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (403) all_0_41_41 = e3 % 56.66/22.91 | % 56.66/22.91 | Equations (403) can reduce 214 to: % 56.66/22.91 | (404) ~ (all_0_42_42 = e3) % 56.66/22.91 | % 56.66/22.91 | Simplifying 404 yields: % 56.66/22.91 | (405) ~ (all_0_42_42 = e3) % 56.66/22.91 | % 56.66/22.91 | Equations (403) can reduce 85 to: % 56.66/22.91 | (212) ~ (e3 = e2) % 56.66/22.91 | % 56.66/22.91 | Equations (403) can reduce 457 to: % 56.66/22.91 | (213) ~ (e3 = e1) % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (180), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (516) all_0_42_42 = e3 % 56.66/22.91 | % 56.66/22.91 | Equations (516) can reduce 405 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (405) ~ (all_0_42_42 = e3) % 56.66/22.91 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (521), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (522) all_0_47_47 = e3 % 56.66/22.91 | % 56.66/22.91 | Equations (522) can reduce 19 to: % 56.66/22.91 | (409) ~ (all_0_46_46 = e3) % 56.66/22.91 | % 56.66/22.91 | Equations (522) can reduce 252 to: % 56.66/22.91 | (277) ~ (e4 = e3) % 56.66/22.91 | % 56.66/22.91 | Simplifying 277 yields: % 56.66/22.91 | (188) ~ (e4 = e3) % 56.66/22.91 | % 56.66/22.91 | From (522) and (23) follows: % 56.66/22.91 | (531) op(e2, e2) = e3 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (184), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (538) all_0_46_46 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (538) can reduce 409 to: % 56.66/22.91 | (541) ~ (e3 = e0) % 56.66/22.91 | % 56.66/22.91 | Simplifying 541 yields: % 56.66/22.91 | (80) ~ (e3 = e0) % 56.66/22.91 | % 56.66/22.91 | From (538) and (120) follows: % 56.66/22.91 | (544) op(e2, e3) = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (165), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (794) all_0_41_41 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (794,403) yields a new equation: % 56.66/22.91 | (676) e3 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (676) can reduce 80 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (357) ~ (all_0_41_41 = e0) % 56.66/22.91 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (64), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (437) all_0_41_41 = e4 % 56.66/22.91 | % 56.66/22.91 | Combining equations (437,403) yields a new equation: % 56.66/22.91 | (424) e4 = e3 % 56.66/22.91 | % 56.66/22.91 | Simplifying 424 yields: % 56.66/22.91 | (425) e4 = e3 % 56.66/22.91 | % 56.66/22.91 | Equations (425) can reduce 188 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (440) ~ (all_0_41_41 = e4) % 56.66/22.91 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (104), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (480) all_0_39_39 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (480) can reduce 176 to: % 56.66/22.91 | (1400) ~ (all_0_40_40 = e0) % 56.66/22.91 | % 56.66/22.91 | Simplifying 1400 yields: % 56.66/22.91 | (1401) ~ (all_0_40_40 = e0) % 56.66/22.91 | % 56.66/22.91 | Equations (480) can reduce 294 to: % 56.66/22.91 | (365) ~ (e2 = e0) % 56.66/22.91 | % 56.66/22.91 | Simplifying 365 yields: % 56.66/22.91 | (128) ~ (e2 = e0) % 56.66/22.91 | % 56.66/22.91 | Equations (480) can reduce 151 to: % 56.66/22.91 | (435) ~ (e1 = e0) % 56.66/22.91 | % 56.66/22.91 | Simplifying 435 yields: % 56.66/22.91 | (233) ~ (e1 = e0) % 56.66/22.91 | % 56.66/22.91 | From (480) and (14) follows: % 56.66/22.91 | (4090) op(e4, e2) = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (152), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (1392) all_0_42_42 = e4 % 56.66/22.91 | % 56.66/22.91 | From (1392) and (210) follows: % 56.66/22.91 | (4074) op(e3, e2) = e4 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (75), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (485) all_0_40_40 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (485) can reduce 1401 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (1401) ~ (all_0_40_40 = e0) % 56.66/22.91 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (150), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (1378) all_0_40_40 = e4 % 56.66/22.91 | % 56.66/22.91 | Equations (1378) can reduce 1401 to: % 56.66/22.91 | (49) ~ (e4 = e0) % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (1748), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (1414) all_0_44_44 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (1414) can reduce 147 to: % 56.66/22.91 | (365) ~ (e2 = e0) % 56.66/22.91 | % 56.66/22.91 | Simplifying 365 yields: % 56.66/22.91 | (128) ~ (e2 = e0) % 56.66/22.91 | % 56.66/22.91 | Equations (1414) can reduce 639 to: % 56.66/22.91 | (435) ~ (e1 = e0) % 56.66/22.91 | % 56.66/22.91 | Simplifying 435 yields: % 56.66/22.91 | (233) ~ (e1 = e0) % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (56), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (696) unit = e2 % 56.66/22.91 | % 56.66/22.91 | From (696) and (227) follows: % 56.66/22.91 | (4284) op(e4, e2) = e4 % 56.66/22.91 | % 56.66/22.91 | From (696) and (40) follows: % 56.66/22.91 | (4285) op(e3, e2) = e3 % 56.66/22.91 | % 56.66/22.91 | From (696) and (32) follows: % 56.66/22.91 | (698) op(e2, e2) = e2 % 56.66/22.91 | % 56.66/22.91 | From (696) and (28) follows: % 56.66/22.91 | (699) op(e1, e2) = e1 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 56.66/22.91 | (397) e4 = e0 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 56.66/22.91 | (425) e4 = e3 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 56.66/22.91 | (662) e3 = e2 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.66/22.91 | (617) e2 = e1 % 56.66/22.91 | % 56.66/22.91 | Combining equations (397,425) yields a new equation: % 56.66/22.91 | (676) e3 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (676,662) yields a new equation: % 56.66/22.91 | (330) e2 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (330,617) yields a new equation: % 56.66/22.91 | (431) e1 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (431) can reduce 233 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (707) ~ (unit = e2) % 56.66/22.91 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (708), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (709) unit = e4 % 56.66/22.91 | % 56.66/22.91 | From (709) and (227) follows: % 56.66/22.91 | (710) op(e4, e4) = e4 % 56.66/22.91 | % 56.66/22.91 | From (709) and (40) follows: % 56.66/22.91 | (711) op(e3, e4) = e3 % 56.66/22.91 | % 56.66/22.91 | From (709) and (32) follows: % 56.66/22.91 | (712) op(e2, e4) = e2 % 56.66/22.91 | % 56.66/22.91 | From (709) and (42) follows: % 56.66/22.91 | (713) op(e0, e4) = e0 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.66/22.91 | (630) e4 = e1 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.66/22.91 | (662) e3 = e2 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.66/22.91 | (323) e4 = e2 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.66/22.91 | (676) e3 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (630,323) yields a new equation: % 56.66/22.91 | (617) e2 = e1 % 56.66/22.91 | % 56.66/22.91 | Combining equations (662,676) yields a new equation: % 56.66/22.91 | (391) e2 = e0 % 56.66/22.91 | % 56.66/22.91 | Simplifying 391 yields: % 56.66/22.91 | (330) e2 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (617,330) yields a new equation: % 56.66/22.91 | (546) e1 = e0 % 56.66/22.91 | % 56.66/22.91 | Simplifying 546 yields: % 56.66/22.91 | (431) e1 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (431) can reduce 233 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (724) ~ (unit = e4) % 56.66/22.91 | (725) unit = e3 | unit = e1 | unit = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (725), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (726) unit = e0 % 56.66/22.91 | % 56.66/22.91 | From (726) and (15) follows: % 56.66/22.91 | (1508) op(e0, e2) = e2 % 56.66/22.91 | % 56.66/22.91 | From (726) and (42) follows: % 56.66/22.91 | (728) op(e0, e0) = e0 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 56.66/22.91 | (617) e2 = e1 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 56.66/22.91 | (330) e2 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (330,617) yields a new equation: % 56.66/22.91 | (431) e1 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (431) can reduce 233 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (734) ~ (unit = e0) % 56.66/22.91 | (735) unit = e3 | unit = e1 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (735), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (736) unit = e1 % 56.66/22.91 | % 56.66/22.91 | Equations (736) can reduce 734 to: % 56.66/22.91 | (233) ~ (e1 = e0) % 56.66/22.91 | % 56.66/22.91 | From (736) and (209) follows: % 56.66/22.91 | (2715) op(e1, e0) = e0 % 56.66/22.91 | % 56.66/22.91 | From (736) and (227) follows: % 56.66/22.91 | (739) op(e4, e1) = e4 % 56.66/22.91 | % 56.66/22.91 | From (736) and (28) follows: % 56.66/22.91 | (740) op(e1, e1) = e1 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 56.66/22.91 | (425) e4 = e3 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.66/22.91 | (630) e4 = e1 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 56.66/22.91 | (676) e3 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (425,630) yields a new equation: % 56.66/22.91 | (454) e3 = e1 % 56.66/22.91 | % 56.66/22.91 | Simplifying 454 yields: % 56.66/22.91 | (455) e3 = e1 % 56.66/22.91 | % 56.66/22.91 | Combining equations (676,455) yields a new equation: % 56.66/22.91 | (431) e1 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (431) can reduce 233 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (748) ~ (unit = e1) % 56.66/22.91 | (749) unit = e3 % 56.66/22.91 | % 56.66/22.91 | From (749) and (15) follows: % 56.66/22.91 | (751) op(e3, e2) = e2 % 56.66/22.91 | % 56.66/22.91 | From (749) and (42) follows: % 56.66/22.91 | (752) op(e0, e3) = e0 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 56.66/22.91 | (323) e4 = e2 % 56.66/22.91 | % 56.66/22.91 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.66/22.91 | (397) e4 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (323,397) yields a new equation: % 56.66/22.91 | (391) e2 = e0 % 56.66/22.91 | % 56.66/22.91 | Simplifying 391 yields: % 56.66/22.91 | (330) e2 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (330) can reduce 128 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (360) ~ (all_0_44_44 = e0) % 56.66/22.91 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 56.66/22.91 | % 56.66/22.91 +-Applying beta-rule and splitting (6761), into two cases. % 56.66/22.91 |-Branch one: % 56.66/22.91 | (559) all_0_42_42 = e0 % 56.66/22.91 | % 56.66/22.91 | Combining equations (1392,559) yields a new equation: % 56.66/22.91 | (481) e4 = e0 % 56.66/22.91 | % 56.66/22.91 | Simplifying 481 yields: % 56.66/22.91 | (397) e4 = e0 % 56.66/22.91 | % 56.66/22.91 | Equations (397) can reduce 49 to: % 56.66/22.91 | (266) $false % 56.66/22.91 | % 56.66/22.91 |-The branch is then unsatisfiable % 56.66/22.91 |-Branch two: % 56.66/22.91 | (358) ~ (all_0_42_42 = e0) % 56.66/22.91 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 56.66/22.91 | % 56.66/22.92 +-Applying beta-rule and splitting (6766), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (356) all_0_43_43 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (356,430) yields a new equation: % 56.66/22.92 | (431) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (431) can reduce 233 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (5470) ~ (all_0_43_43 = e0) % 56.66/22.92 | (1414) all_0_44_44 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (1414) can reduce 360 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (447) ~ (all_0_40_40 = e4) % 56.66/22.92 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (316), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1378) all_0_40_40 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (1378) can reduce 447 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (447) ~ (all_0_40_40 = e4) % 56.66/22.92 | (485) all_0_40_40 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (485) can reduce 1401 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.92 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (75), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (485) all_0_40_40 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (485) can reduce 1401 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (1401) ~ (all_0_40_40 = e0) % 56.66/22.92 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (1748), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1414) all_0_44_44 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (1414) can reduce 143 to: % 56.66/22.92 | (1401) ~ (all_0_40_40 = e0) % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (150), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1378) all_0_40_40 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (1378) can reduce 2 to: % 56.66/22.92 | (188) ~ (e4 = e3) % 56.66/22.92 | % 56.66/22.92 | Equations (1378) can reduce 296 to: % 56.66/22.92 | (48) ~ (e4 = e2) % 56.66/22.92 | % 56.66/22.92 | Equations (1378) can reduce 132 to: % 56.66/22.92 | (110) ~ (e4 = e1) % 56.66/22.92 | % 56.66/22.92 | Equations (1378) can reduce 1401 to: % 56.66/22.92 | (49) ~ (e4 = e0) % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (164), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (471) all_0_39_39 = e4 % 56.66/22.92 | % 56.66/22.92 | Combining equations (471,480) yields a new equation: % 56.66/22.92 | (481) e4 = e0 % 56.66/22.92 | % 56.66/22.92 | Simplifying 481 yields: % 56.66/22.92 | (397) e4 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (397) can reduce 49 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (1377) ~ (all_0_39_39 = e4) % 56.66/22.92 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (2115), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1392) all_0_42_42 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (1392) can reduce 1890 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.92 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (2246), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1790) all_0_47_47 = e4 % 56.66/22.92 | % 56.66/22.92 | Combining equations (522,1790) yields a new equation: % 56.66/22.92 | (425) e4 = e3 % 56.66/22.92 | % 56.66/22.92 | Equations (425) can reduce 188 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (252) ~ (all_0_47_47 = e4) % 56.66/22.92 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (6548), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1101) all_0_51_51 = e4 % 56.66/22.92 | % 56.66/22.92 | Combining equations (504,1101) yields a new equation: % 56.66/22.92 | (323) e4 = e2 % 56.66/22.92 | % 56.66/22.92 | Equations (323) can reduce 48 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (475) ~ (all_0_51_51 = e4) % 56.66/22.92 | (842) all_0_56_56 = e4 % 56.66/22.92 | % 56.66/22.92 | Combining equations (1569,842) yields a new equation: % 56.66/22.92 | (630) e4 = e1 % 56.66/22.92 | % 56.66/22.92 | Equations (630) can reduce 110 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (447) ~ (all_0_40_40 = e4) % 56.66/22.92 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (316), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1378) all_0_40_40 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (1378) can reduce 447 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (447) ~ (all_0_40_40 = e4) % 56.66/22.92 | (485) all_0_40_40 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (485) can reduce 1401 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (360) ~ (all_0_44_44 = e0) % 56.66/22.92 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (1760), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (978) all_0_49_49 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (671,978) yields a new equation: % 56.66/22.92 | (546) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Simplifying 546 yields: % 56.66/22.92 | (431) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (431) can reduce 233 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (487) ~ (all_0_49_49 = e0) % 56.66/22.92 | (914) all_0_58_58 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (914,624) yields a new equation: % 56.66/22.92 | (330) e2 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (330) can reduce 128 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (484) ~ (all_0_39_39 = e0) % 56.66/22.92 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (320), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (471) all_0_39_39 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (471) can reduce 145 to: % 56.66/22.92 | (1901) ~ (all_0_42_42 = e4) % 56.66/22.92 | % 56.66/22.92 | Simplifying 1901 yields: % 56.66/22.92 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.92 | % 56.66/22.92 | Equations (471) can reduce 151 to: % 56.66/22.92 | (110) ~ (e4 = e1) % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (441), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (1392) all_0_42_42 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (1392) can reduce 1890 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.92 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (1891), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (396) all_0_43_43 = e4 % 56.66/22.92 | % 56.66/22.92 | Combining equations (396,430) yields a new equation: % 56.66/22.92 | (636) e4 = e1 % 56.66/22.92 | % 56.66/22.92 | Simplifying 636 yields: % 56.66/22.92 | (630) e4 = e1 % 56.66/22.92 | % 56.66/22.92 | Equations (630) can reduce 110 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (399) ~ (all_0_43_43 = e4) % 56.66/22.92 | (446) all_0_44_44 = e4 % 56.66/22.92 | % 56.66/22.92 | Equations (446) can reduce 143 to: % 56.66/22.92 | (447) ~ (all_0_40_40 = e4) % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (75), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (485) all_0_40_40 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (485) can reduce 2 to: % 56.66/22.92 | (541) ~ (e3 = e0) % 56.66/22.92 | % 56.66/22.92 | Simplifying 541 yields: % 56.66/22.92 | (80) ~ (e3 = e0) % 56.66/22.92 | % 56.66/22.92 | Equations (485) can reduce 132 to: % 56.66/22.92 | (435) ~ (e1 = e0) % 56.66/22.92 | % 56.66/22.92 | Simplifying 435 yields: % 56.66/22.92 | (233) ~ (e1 = e0) % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (6761), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (559) all_0_42_42 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (559) can reduce 51 to: % 56.66/22.92 | (365) ~ (e2 = e0) % 56.66/22.92 | % 56.66/22.92 | Simplifying 365 yields: % 56.66/22.92 | (128) ~ (e2 = e0) % 56.66/22.92 | % 56.66/22.92 | Equations (559) can reduce 1380 to: % 56.66/22.92 | (435) ~ (e1 = e0) % 56.66/22.92 | % 56.66/22.92 | Simplifying 435 yields: % 56.66/22.92 | (233) ~ (e1 = e0) % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (56), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (696) unit = e2 % 56.66/22.92 | % 56.66/22.92 | From (696) and (24) follows: % 56.66/22.92 | (697) op(e2, e3) = e3 % 56.66/22.92 | % 56.66/22.92 | From (696) and (32) follows: % 56.66/22.92 | (698) op(e2, e2) = e2 % 56.66/22.92 | % 56.66/22.92 | From (696) and (28) follows: % 56.66/22.92 | (699) op(e1, e2) = e1 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 56.66/22.92 | (676) e3 = e0 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 56.66/22.92 | (662) e3 = e2 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.66/22.92 | (617) e2 = e1 % 56.66/22.92 | % 56.66/22.92 | Combining equations (676,662) yields a new equation: % 56.66/22.92 | (330) e2 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (330,617) yields a new equation: % 56.66/22.92 | (431) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (431) can reduce 233 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (707) ~ (unit = e2) % 56.66/22.92 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (708), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (709) unit = e4 % 56.66/22.92 | % 56.66/22.92 | From (709) and (227) follows: % 56.66/22.92 | (710) op(e4, e4) = e4 % 56.66/22.92 | % 56.66/22.92 | From (709) and (40) follows: % 56.66/22.92 | (711) op(e3, e4) = e3 % 56.66/22.92 | % 56.66/22.92 | From (709) and (32) follows: % 56.66/22.92 | (712) op(e2, e4) = e2 % 56.66/22.92 | % 56.66/22.92 | From (709) and (42) follows: % 56.66/22.92 | (713) op(e0, e4) = e0 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.66/22.92 | (630) e4 = e1 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.66/22.92 | (662) e3 = e2 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.66/22.92 | (323) e4 = e2 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.66/22.92 | (676) e3 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (323,630) yields a new equation: % 56.66/22.92 | (616) e2 = e1 % 56.66/22.92 | % 56.66/22.92 | Simplifying 616 yields: % 56.66/22.92 | (617) e2 = e1 % 56.66/22.92 | % 56.66/22.92 | Combining equations (662,676) yields a new equation: % 56.66/22.92 | (391) e2 = e0 % 56.66/22.92 | % 56.66/22.92 | Simplifying 391 yields: % 56.66/22.92 | (330) e2 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (330,617) yields a new equation: % 56.66/22.92 | (431) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (431) can reduce 233 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (724) ~ (unit = e4) % 56.66/22.92 | (725) unit = e3 | unit = e1 | unit = e0 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (725), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (726) unit = e0 % 56.66/22.92 | % 56.66/22.92 | From (726) and (15) follows: % 56.66/22.92 | (1508) op(e0, e2) = e2 % 56.66/22.92 | % 56.66/22.92 | From (726) and (42) follows: % 56.66/22.92 | (728) op(e0, e0) = e0 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 56.66/22.92 | (617) e2 = e1 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 56.66/22.92 | (330) e2 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (617,330) yields a new equation: % 56.66/22.92 | (546) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Simplifying 546 yields: % 56.66/22.92 | (431) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (431) can reduce 233 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (734) ~ (unit = e0) % 56.66/22.92 | (735) unit = e3 | unit = e1 % 56.66/22.92 | % 56.66/22.92 +-Applying beta-rule and splitting (735), into two cases. % 56.66/22.92 |-Branch one: % 56.66/22.92 | (736) unit = e1 % 56.66/22.92 | % 56.66/22.92 | Equations (736) can reduce 734 to: % 56.66/22.92 | (233) ~ (e1 = e0) % 56.66/22.92 | % 56.66/22.92 | From (736) and (209) follows: % 56.66/22.92 | (2715) op(e1, e0) = e0 % 56.66/22.92 | % 56.66/22.92 | From (736) and (227) follows: % 56.66/22.92 | (739) op(e4, e1) = e4 % 56.66/22.92 | % 56.66/22.92 | From (736) and (28) follows: % 56.66/22.92 | (740) op(e1, e1) = e1 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 56.66/22.92 | (425) e4 = e3 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.66/22.92 | (630) e4 = e1 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 56.66/22.92 | (676) e3 = e0 % 56.66/22.92 | % 56.66/22.92 | Combining equations (425,630) yields a new equation: % 56.66/22.92 | (454) e3 = e1 % 56.66/22.92 | % 56.66/22.92 | Simplifying 454 yields: % 56.66/22.92 | (455) e3 = e1 % 56.66/22.92 | % 56.66/22.92 | Combining equations (676,455) yields a new equation: % 56.66/22.92 | (431) e1 = e0 % 56.66/22.92 | % 56.66/22.92 | Equations (431) can reduce 233 to: % 56.66/22.92 | (266) $false % 56.66/22.92 | % 56.66/22.92 |-The branch is then unsatisfiable % 56.66/22.92 |-Branch two: % 56.66/22.92 | (748) ~ (unit = e1) % 56.66/22.92 | (749) unit = e3 % 56.66/22.92 | % 56.66/22.92 | From (749) and (244) follows: % 56.66/22.92 | (750) op(e3, e4) = e4 % 56.66/22.92 | % 56.66/22.92 | From (749) and (42) follows: % 56.66/22.92 | (752) op(e0, e3) = e0 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 56.66/22.92 | (323) e4 = e2 % 56.66/22.92 | % 56.66/22.92 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.66/22.93 | (397) e4 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (323,397) yields a new equation: % 56.66/22.93 | (391) e2 = e0 % 56.66/22.93 | % 56.66/22.93 | Simplifying 391 yields: % 56.66/22.93 | (330) e2 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (330) can reduce 128 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (358) ~ (all_0_42_42 = e0) % 56.66/22.93 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (558), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (559) all_0_42_42 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (559) can reduce 358 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (358) ~ (all_0_42_42 = e0) % 56.66/22.93 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (563), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (674) all_0_47_47 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (522,674) yields a new equation: % 56.66/22.93 | (675) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Simplifying 675 yields: % 56.66/22.93 | (676) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (676) can reduce 80 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (678) ~ (all_0_47_47 = e0) % 56.66/22.93 | (679) all_0_56_56 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (1569,679) yields a new equation: % 56.66/22.93 | (546) e1 = e0 % 56.66/22.93 | % 56.66/22.93 | Simplifying 546 yields: % 56.66/22.93 | (431) e1 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (431) can reduce 233 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (1401) ~ (all_0_40_40 = e0) % 56.66/22.93 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (316), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (1378) all_0_40_40 = e4 % 56.66/22.93 | % 56.66/22.93 | Equations (1378) can reduce 447 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (447) ~ (all_0_40_40 = e4) % 56.66/22.93 | (485) all_0_40_40 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (485) can reduce 1401 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (1377) ~ (all_0_39_39 = e4) % 56.66/22.93 | (480) all_0_39_39 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (480) can reduce 484 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (831) ~ (all_0_46_46 = e0) % 56.66/22.93 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (395), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (794) all_0_41_41 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (794,403) yields a new equation: % 56.66/22.93 | (676) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (676) can reduce 80 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (357) ~ (all_0_41_41 = e0) % 56.66/22.93 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (895), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (538) all_0_46_46 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (538) can reduce 831 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (831) ~ (all_0_46_46 = e0) % 56.66/22.93 | (858) all_0_55_55 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (858,587) yields a new equation: % 56.66/22.93 | (397) e4 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (397) can reduce 49 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (1091) ~ (all_0_47_47 = e3) % 56.66/22.93 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (1092), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (660) all_0_51_51 = e3 % 56.66/22.93 | % 56.66/22.93 | Combining equations (504,660) yields a new equation: % 56.66/22.93 | (662) e3 = e2 % 56.66/22.93 | % 56.66/22.93 | Equations (662) can reduce 212 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (664) ~ (all_0_51_51 = e3) % 56.66/22.93 | (1097) all_0_56_56 = e3 % 56.66/22.93 | % 56.66/22.93 | Combining equations (1097,1569) yields a new equation: % 56.66/22.93 | (454) e3 = e1 % 56.66/22.93 | % 56.66/22.93 | Simplifying 454 yields: % 56.66/22.93 | (455) e3 = e1 % 56.66/22.93 | % 56.66/22.93 | Equations (455) can reduce 213 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (1898) ~ (all_0_41_41 = e3) % 56.66/22.93 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (1899), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (516) all_0_42_42 = e3 % 56.66/22.93 | % 56.66/22.93 | Equations (516) can reduce 214 to: % 56.66/22.93 | (1898) ~ (all_0_41_41 = e3) % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (144), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (403) all_0_41_41 = e3 % 56.66/22.93 | % 56.66/22.93 | Equations (403) can reduce 1898 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (1898) ~ (all_0_41_41 = e3) % 56.66/22.93 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (64), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (437) all_0_41_41 = e4 % 56.66/22.93 | % 56.66/22.93 | Equations (437) can reduce 440 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (440) ~ (all_0_41_41 = e4) % 56.66/22.93 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (441), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (1392) all_0_42_42 = e4 % 56.66/22.93 | % 56.66/22.93 | Combining equations (1392,516) yields a new equation: % 56.66/22.93 | (424) e4 = e3 % 56.66/22.93 | % 56.66/22.93 | Simplifying 424 yields: % 56.66/22.93 | (425) e4 = e3 % 56.66/22.93 | % 56.66/22.93 | Equations (425) can reduce 188 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.93 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.66/22.93 | % 56.66/22.93 | Equations (516) can reduce 1890 to: % 56.66/22.93 | (277) ~ (e4 = e3) % 56.66/22.93 | % 56.66/22.93 | Simplifying 277 yields: % 56.66/22.93 | (188) ~ (e4 = e3) % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (27), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (437) all_0_41_41 = e4 % 56.66/22.93 | % 56.66/22.93 | Equations (437) can reduce 440 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (440) ~ (all_0_41_41 = e4) % 56.66/22.93 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (78), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (423) all_0_45_45 = e3 % 56.66/22.93 | % 56.66/22.93 | Combining equations (423,248) yields a new equation: % 56.66/22.93 | (425) e4 = e3 % 56.66/22.93 | % 56.66/22.93 | Equations (425) can reduce 188 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (427) ~ (all_0_45_45 = e3) % 56.66/22.93 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (428), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (1557) all_0_46_46 = e3 % 56.66/22.93 | % 56.66/22.93 | Equations (1557) can reduce 19 to: % 56.66/22.93 | (2538) ~ (all_0_47_47 = e3) % 56.66/22.93 | % 56.66/22.93 | Simplifying 2538 yields: % 56.66/22.93 | (1091) ~ (all_0_47_47 = e3) % 56.66/22.93 | % 56.66/22.93 | Equations (1557) can reduce 250 to: % 56.66/22.93 | (277) ~ (e4 = e3) % 56.66/22.93 | % 56.66/22.93 | Simplifying 277 yields: % 56.66/22.93 | (188) ~ (e4 = e3) % 56.66/22.93 | % 56.66/22.93 | From (1557) and (120) follows: % 56.66/22.93 | (697) op(e2, e3) = e3 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (184), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (538) all_0_46_46 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (538,1557) yields a new equation: % 56.66/22.93 | (676) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (676) can reduce 80 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (831) ~ (all_0_46_46 = e0) % 56.66/22.93 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (1557) can reduce 831 to: % 56.66/22.93 | (80) ~ (e3 = e0) % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (164), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (471) all_0_39_39 = e4 % 56.66/22.93 | % 56.66/22.93 | Equations (471) can reduce 79 to: % 56.66/22.93 | (251) ~ (all_0_47_47 = e4) % 56.66/22.93 | % 56.66/22.93 | Simplifying 251 yields: % 56.66/22.93 | (252) ~ (all_0_47_47 = e4) % 56.66/22.93 | % 56.66/22.93 | Equations (471) can reduce 151 to: % 56.66/22.93 | (110) ~ (e4 = e1) % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (104), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (480) all_0_39_39 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (480,471) yields a new equation: % 56.66/22.93 | (397) e4 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (397) can reduce 49 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (484) ~ (all_0_39_39 = e0) % 56.66/22.93 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (558), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (559) all_0_42_42 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (559,516) yields a new equation: % 56.66/22.93 | (676) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (676) can reduce 80 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (358) ~ (all_0_42_42 = e0) % 56.66/22.93 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (1891), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (396) all_0_43_43 = e4 % 56.66/22.93 | % 56.66/22.93 | Combining equations (396,430) yields a new equation: % 56.66/22.93 | (636) e4 = e1 % 56.66/22.93 | % 56.66/22.93 | Simplifying 636 yields: % 56.66/22.93 | (630) e4 = e1 % 56.66/22.93 | % 56.66/22.93 | Equations (630) can reduce 110 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (399) ~ (all_0_43_43 = e4) % 56.66/22.93 | (446) all_0_44_44 = e4 % 56.66/22.93 | % 56.66/22.93 | Equations (446) can reduce 143 to: % 56.66/22.93 | (447) ~ (all_0_40_40 = e4) % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (75), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (485) all_0_40_40 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (485) can reduce 132 to: % 56.66/22.93 | (435) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 | Simplifying 435 yields: % 56.66/22.93 | (233) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (105), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (1105) all_0_47_47 = e2 % 56.66/22.93 | % 56.66/22.93 | Equations (1105) can reduce 338 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (338) ~ (all_0_47_47 = e2) % 56.66/22.93 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (165), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (794) all_0_41_41 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (794) can reduce 457 to: % 56.66/22.93 | (435) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 | Simplifying 435 yields: % 56.66/22.93 | (233) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 | From (794) and (219) follows: % 56.66/22.93 | (5573) op(e3, e3) = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (563), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (674) all_0_47_47 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (674) can reduce 338 to: % 56.66/22.93 | (365) ~ (e2 = e0) % 56.66/22.93 | % 56.66/22.93 | Simplifying 365 yields: % 56.66/22.93 | (128) ~ (e2 = e0) % 56.66/22.93 | % 56.66/22.93 | Equations (674) can reduce 462 to: % 56.66/22.93 | (435) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 | Simplifying 435 yields: % 56.66/22.93 | (233) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 | From (674) and (23) follows: % 56.66/22.93 | (3148) op(e2, e2) = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (56), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (696) unit = e2 % 56.66/22.93 | % 56.66/22.93 | From (696) and (32) follows: % 56.66/22.93 | (698) op(e2, e2) = e2 % 56.66/22.93 | % 56.66/22.93 | From (696) and (28) follows: % 56.66/22.93 | (699) op(e1, e2) = e1 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 56.66/22.93 | (330) e2 = e0 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 56.66/22.93 | (617) e2 = e1 % 56.66/22.93 | % 56.66/22.93 | Combining equations (330,617) yields a new equation: % 56.66/22.93 | (431) e1 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (431) can reduce 233 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (707) ~ (unit = e2) % 56.66/22.93 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (708), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (709) unit = e4 % 56.66/22.93 | % 56.66/22.93 | From (709) and (227) follows: % 56.66/22.93 | (710) op(e4, e4) = e4 % 56.66/22.93 | % 56.66/22.93 | From (709) and (40) follows: % 56.66/22.93 | (711) op(e3, e4) = e3 % 56.66/22.93 | % 56.66/22.93 | From (709) and (32) follows: % 56.66/22.93 | (712) op(e2, e4) = e2 % 56.66/22.93 | % 56.66/22.93 | From (709) and (42) follows: % 56.66/22.93 | (713) op(e0, e4) = e0 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.66/22.93 | (630) e4 = e1 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.66/22.93 | (662) e3 = e2 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.66/22.93 | (323) e4 = e2 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.66/22.93 | (676) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (323,630) yields a new equation: % 56.66/22.93 | (616) e2 = e1 % 56.66/22.93 | % 56.66/22.93 | Simplifying 616 yields: % 56.66/22.93 | (617) e2 = e1 % 56.66/22.93 | % 56.66/22.93 | Combining equations (662,676) yields a new equation: % 56.66/22.93 | (391) e2 = e0 % 56.66/22.93 | % 56.66/22.93 | Simplifying 391 yields: % 56.66/22.93 | (330) e2 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (330,617) yields a new equation: % 56.66/22.93 | (431) e1 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (431) can reduce 233 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (724) ~ (unit = e4) % 56.66/22.93 | (725) unit = e3 | unit = e1 | unit = e0 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (725), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (726) unit = e0 % 56.66/22.93 | % 56.66/22.93 | From (726) and (15) follows: % 56.66/22.93 | (1508) op(e0, e2) = e2 % 56.66/22.93 | % 56.66/22.93 | From (726) and (42) follows: % 56.66/22.93 | (728) op(e0, e0) = e0 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 56.66/22.93 | (617) e2 = e1 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 56.66/22.93 | (330) e2 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (617,330) yields a new equation: % 56.66/22.93 | (546) e1 = e0 % 56.66/22.93 | % 56.66/22.93 | Simplifying 546 yields: % 56.66/22.93 | (431) e1 = e0 % 56.66/22.93 | % 56.66/22.93 | Equations (431) can reduce 233 to: % 56.66/22.93 | (266) $false % 56.66/22.93 | % 56.66/22.93 |-The branch is then unsatisfiable % 56.66/22.93 |-Branch two: % 56.66/22.93 | (734) ~ (unit = e0) % 56.66/22.93 | (735) unit = e3 | unit = e1 % 56.66/22.93 | % 56.66/22.93 +-Applying beta-rule and splitting (735), into two cases. % 56.66/22.93 |-Branch one: % 56.66/22.93 | (736) unit = e1 % 56.66/22.93 | % 56.66/22.93 | Equations (736) can reduce 734 to: % 56.66/22.93 | (233) ~ (e1 = e0) % 56.66/22.93 | % 56.66/22.93 | From (736) and (209) follows: % 56.66/22.93 | (2715) op(e1, e0) = e0 % 56.66/22.93 | % 56.66/22.93 | From (736) and (227) follows: % 56.66/22.93 | (739) op(e4, e1) = e4 % 56.66/22.93 | % 56.66/22.93 | From (736) and (28) follows: % 56.66/22.93 | (740) op(e1, e1) = e1 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 56.66/22.93 | (425) e4 = e3 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.66/22.93 | (630) e4 = e1 % 56.66/22.93 | % 56.66/22.93 | Instantiating formula (29) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 56.66/22.93 | (676) e3 = e0 % 56.66/22.93 | % 56.66/22.93 | Combining equations (425,630) yields a new equation: % 56.66/22.93 | (454) e3 = e1 % 56.66/22.94 | % 56.66/22.94 | Simplifying 454 yields: % 56.66/22.94 | (455) e3 = e1 % 56.66/22.94 | % 56.66/22.94 | Combining equations (676,455) yields a new equation: % 56.66/22.94 | (431) e1 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (431) can reduce 233 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (748) ~ (unit = e1) % 56.66/22.94 | (749) unit = e3 % 56.66/22.94 | % 56.66/22.94 | From (749) and (40) follows: % 56.66/22.94 | (3715) op(e3, e3) = e3 % 56.66/22.94 | % 56.66/22.94 | From (749) and (32) follows: % 56.66/22.94 | (5793) op(e2, e3) = e2 % 56.66/22.94 | % 56.66/22.94 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 56.66/22.94 | (676) e3 = e0 % 56.66/22.94 | % 56.66/22.94 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 56.66/22.94 | (662) e3 = e2 % 56.66/22.94 | % 56.66/22.94 | Combining equations (676,662) yields a new equation: % 56.66/22.94 | (330) e2 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (330) can reduce 128 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (678) ~ (all_0_47_47 = e0) % 56.66/22.94 | (679) all_0_56_56 = e0 % 56.66/22.94 | % 56.66/22.94 | Combining equations (1569,679) yields a new equation: % 56.66/22.94 | (546) e1 = e0 % 56.66/22.94 | % 56.66/22.94 | Simplifying 546 yields: % 56.66/22.94 | (431) e1 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (431) can reduce 233 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (357) ~ (all_0_41_41 = e0) % 56.66/22.94 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (563), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (674) all_0_47_47 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (674) can reduce 252 to: % 56.66/22.94 | (401) ~ (e4 = e0) % 56.66/22.94 | % 56.66/22.94 | Simplifying 401 yields: % 56.66/22.94 | (49) ~ (e4 = e0) % 56.66/22.94 | % 56.66/22.94 | Equations (674) can reduce 1091 to: % 56.66/22.94 | (541) ~ (e3 = e0) % 56.66/22.94 | % 56.66/22.94 | Simplifying 541 yields: % 56.66/22.94 | (80) ~ (e3 = e0) % 56.66/22.94 | % 56.66/22.94 | Equations (674) can reduce 462 to: % 56.66/22.94 | (435) ~ (e1 = e0) % 56.66/22.94 | % 56.66/22.94 | Simplifying 435 yields: % 56.66/22.94 | (233) ~ (e1 = e0) % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (6761), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (559) all_0_42_42 = e0 % 56.66/22.94 | % 56.66/22.94 | Combining equations (516,559) yields a new equation: % 56.66/22.94 | (675) e3 = e0 % 56.66/22.94 | % 56.66/22.94 | Simplifying 675 yields: % 56.66/22.94 | (676) e3 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (676) can reduce 80 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (358) ~ (all_0_42_42 = e0) % 56.66/22.94 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (6766), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (356) all_0_43_43 = e0 % 56.66/22.94 | % 56.66/22.94 | Combining equations (356,430) yields a new equation: % 56.66/22.94 | (431) e1 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (431) can reduce 233 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (5470) ~ (all_0_43_43 = e0) % 56.66/22.94 | (1414) all_0_44_44 = e0 % 56.66/22.94 | % 56.66/22.94 | Combining equations (446,1414) yields a new equation: % 56.66/22.94 | (481) e4 = e0 % 56.66/22.94 | % 56.66/22.94 | Simplifying 481 yields: % 56.66/22.94 | (397) e4 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (397) can reduce 49 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (678) ~ (all_0_47_47 = e0) % 56.66/22.94 | (679) all_0_56_56 = e0 % 56.66/22.94 | % 56.66/22.94 | Combining equations (1569,679) yields a new equation: % 56.66/22.94 | (546) e1 = e0 % 56.66/22.94 | % 56.66/22.94 | Simplifying 546 yields: % 56.66/22.94 | (431) e1 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (431) can reduce 233 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (1401) ~ (all_0_40_40 = e0) % 56.66/22.94 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (316), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1378) all_0_40_40 = e4 % 56.66/22.94 | % 56.66/22.94 | Equations (1378) can reduce 447 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (447) ~ (all_0_40_40 = e4) % 56.66/22.94 | (485) all_0_40_40 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (485) can reduce 1401 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (1377) ~ (all_0_39_39 = e4) % 56.66/22.94 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (2115), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1392) all_0_42_42 = e4 % 56.66/22.94 | % 56.66/22.94 | Combining equations (1392,516) yields a new equation: % 56.66/22.94 | (424) e4 = e3 % 56.66/22.94 | % 56.66/22.94 | Simplifying 424 yields: % 56.66/22.94 | (425) e4 = e3 % 56.66/22.94 | % 56.66/22.94 | Equations (425) can reduce 188 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.94 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (2246), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1790) all_0_47_47 = e4 % 56.66/22.94 | % 56.66/22.94 | Equations (1790) can reduce 252 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (252) ~ (all_0_47_47 = e4) % 56.66/22.94 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (6548), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1101) all_0_51_51 = e4 % 56.66/22.94 | % 56.66/22.94 | Combining equations (504,1101) yields a new equation: % 56.66/22.94 | (323) e4 = e2 % 56.66/22.94 | % 56.66/22.94 | Equations (323) can reduce 48 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (475) ~ (all_0_51_51 = e4) % 56.66/22.94 | (842) all_0_56_56 = e4 % 56.66/22.94 | % 56.66/22.94 | Combining equations (1569,842) yields a new equation: % 56.66/22.94 | (630) e4 = e1 % 56.66/22.94 | % 56.66/22.94 | Equations (630) can reduce 110 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (409) ~ (all_0_46_46 = e3) % 56.66/22.94 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (123), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1794) all_0_46_46 = e2 % 56.66/22.94 | % 56.66/22.94 | Equations (1794) can reduce 300 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (300) ~ (all_0_46_46 = e2) % 56.66/22.94 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (1797), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (770) all_0_46_46 = e4 % 56.66/22.94 | % 56.66/22.94 | Equations (770) can reduce 250 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (250) ~ (all_0_46_46 = e4) % 56.66/22.94 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (165), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (794) all_0_41_41 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (794) can reduce 43 to: % 56.66/22.94 | (5567) ~ (all_0_46_46 = e0) % 56.66/22.94 | % 56.66/22.94 | Simplifying 5567 yields: % 56.66/22.94 | (831) ~ (all_0_46_46 = e0) % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (1801), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (538) all_0_46_46 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (538) can reduce 831 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (831) ~ (all_0_46_46 = e0) % 56.66/22.94 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (1838), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (545) all_0_46_46 = e1 % 56.66/22.94 | % 56.66/22.94 | Equations (545) can reduce 549 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (549) ~ (all_0_46_46 = e1) % 56.66/22.94 | (1557) all_0_46_46 = e3 % 56.66/22.94 | % 56.66/22.94 | Equations (1557) can reduce 409 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (357) ~ (all_0_41_41 = e0) % 56.66/22.94 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (395), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (794) all_0_41_41 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (794) can reduce 357 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (357) ~ (all_0_41_41 = e0) % 56.66/22.94 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (4049), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (794) all_0_41_41 = e0 % 56.66/22.94 | % 56.66/22.94 | Equations (794) can reduce 357 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (357) ~ (all_0_41_41 = e0) % 56.66/22.94 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (4053), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (453) all_0_41_41 = e1 % 56.66/22.94 | % 56.66/22.94 | Equations (453) can reduce 457 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (457) ~ (all_0_41_41 = e1) % 56.66/22.94 | (403) all_0_41_41 = e3 % 56.66/22.94 | % 56.66/22.94 | Equations (403) can reduce 1898 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (405) ~ (all_0_42_42 = e3) % 56.66/22.94 | (532) all_0_44_44 = e3 % 56.66/22.94 | % 56.66/22.94 | Equations (532) can reduce 407 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (1064) ~ (all_0_49_49 = e1) % 56.66/22.94 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (2141), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1208) all_0_53_53 = e1 % 56.66/22.94 | % 56.66/22.94 | Equations (1208) can reduce 1459 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (1459) ~ (all_0_53_53 = e1) % 56.66/22.94 | (918) all_0_58_58 = e1 % 56.66/22.94 | % 56.66/22.94 | Combining equations (624,918) yields a new equation: % 56.66/22.94 | (616) e2 = e1 % 56.66/22.94 | % 56.66/22.94 | Simplifying 616 yields: % 56.66/22.94 | (617) e2 = e1 % 56.66/22.94 | % 56.66/22.94 | Equations (617) can reduce 122 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (1099) ~ (all_0_51_51 = e2) % 56.66/22.94 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 56.66/22.94 | % 56.66/22.94 +-Applying beta-rule and splitting (385), into two cases. % 56.66/22.94 |-Branch one: % 56.66/22.94 | (1105) all_0_47_47 = e2 % 56.66/22.94 | % 56.66/22.94 | Equations (1105) can reduce 338 to: % 56.66/22.94 | (266) $false % 56.66/22.94 | % 56.66/22.94 |-The branch is then unsatisfiable % 56.66/22.94 |-Branch two: % 56.66/22.94 | (338) ~ (all_0_47_47 = e2) % 56.66/22.95 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (381), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (504) all_0_51_51 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (504) can reduce 1099 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (1099) ~ (all_0_51_51 = e2) % 56.66/22.95 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (1100), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (1101) all_0_51_51 = e4 % 56.66/22.95 | % 56.66/22.95 | Equations (1101) can reduce 475 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (475) ~ (all_0_51_51 = e4) % 56.66/22.95 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (1108), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (504) all_0_51_51 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (504) can reduce 1099 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (1099) ~ (all_0_51_51 = e2) % 56.66/22.95 | (833) all_0_56_56 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (833) can reduce 154 to: % 56.66/22.95 | (294) ~ (all_0_39_39 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (833) can reduce 236 to: % 56.66/22.95 | (51) ~ (all_0_42_42 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (833) can reduce 91 to: % 56.66/22.95 | (338) ~ (all_0_47_47 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (833) can reduce 44 to: % 56.66/22.95 | (1186) ~ (all_0_58_58 = e2) % 56.66/22.95 | % 56.66/22.95 | Simplifying 1186 yields: % 56.66/22.95 | (908) ~ (all_0_58_58 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (833) can reduce 477 to: % 56.66/22.95 | (327) ~ (e4 = e2) % 56.66/22.95 | % 56.66/22.95 | Simplifying 327 yields: % 56.66/22.95 | (48) ~ (e4 = e2) % 56.66/22.95 | % 56.66/22.95 | From (833) and (87) follows: % 56.66/22.95 | (4151) op(e2, e2) = all_0_34_34 % 56.66/22.95 | % 56.66/22.95 | From (833) and (127) follows: % 56.66/22.95 | (1507) op(e2, e0) = all_0_33_33 % 56.66/22.95 | % 56.66/22.95 | From (833) and (111) follows: % 56.66/22.95 | (1508) op(e0, e2) = e2 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (108), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (624) all_0_58_58 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (624) can reduce 908 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (908) ~ (all_0_58_58 = e2) % 56.66/22.95 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (909), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (910) all_0_58_58 = e4 % 56.66/22.95 | % 56.66/22.95 | Equations (910) can reduce 451 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (451) ~ (all_0_58_58 = e4) % 56.66/22.95 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (913), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (914) all_0_58_58 = e0 % 56.66/22.95 | % 56.66/22.95 | Equations (914) can reduce 491 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (491) ~ (all_0_58_58 = e0) % 56.66/22.95 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (917), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (918) all_0_58_58 = e1 % 56.66/22.95 | % 56.66/22.95 | Combining equations (918,5486) yields a new equation: % 56.66/22.95 | (9437) all_0_35_35 = e1 % 56.66/22.95 | % 56.66/22.95 | Equations (918) can reduce 178 to: % 56.66/22.95 | (132) ~ (all_0_40_40 = e1) % 56.66/22.95 | % 56.66/22.95 | Equations (918) can reduce 181 to: % 56.66/22.95 | (639) ~ (all_0_44_44 = e1) % 56.66/22.95 | % 56.66/22.95 | Equations (918) can reduce 119 to: % 56.66/22.95 | (1064) ~ (all_0_49_49 = e1) % 56.66/22.95 | % 56.66/22.95 | Equations (918) can reduce 10 to: % 56.66/22.95 | (1459) ~ (all_0_53_53 = e1) % 56.66/22.95 | % 56.66/22.95 | From (918) and (245) follows: % 56.66/22.95 | (9442) op(e0, e0) = e1 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (1152), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (352) all_0_52_52 = e2 % 56.66/22.95 | % 56.66/22.95 | Combining equations (352,565) yields a new equation: % 56.66/22.95 | (323) e4 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (323) can reduce 48 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (342) ~ (all_0_52_52 = e2) % 56.66/22.95 | (607) all_0_53_53 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (607) can reduce 162 to: % 56.66/22.95 | (296) ~ (all_0_40_40 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (607) can reduce 220 to: % 56.66/22.95 | (147) ~ (all_0_44_44 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (607) can reduce 65 to: % 56.66/22.95 | (340) ~ (all_0_49_49 = e2) % 56.66/22.95 | % 56.66/22.95 | Equations (607) can reduce 1459 to: % 56.66/22.95 | (122) ~ (e2 = e1) % 56.66/22.95 | % 56.66/22.95 | From (607) and (92) follows: % 56.66/22.95 | (1555) op(e2, e1) = all_0_27_27 % 56.66/22.95 | % 56.66/22.95 | From (607) and (175) follows: % 56.66/22.95 | (1556) op(e2, e0) = all_0_28_28 % 56.66/22.95 | % 56.66/22.95 | From (607) and (84) follows: % 56.66/22.95 | (2566) op(e1, e0) = e2 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (1104), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (1109) all_0_51_51 = e1 % 56.66/22.95 | % 56.66/22.95 | Equations (1109) can reduce 464 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (464) ~ (all_0_51_51 = e1) % 56.66/22.95 | (660) all_0_51_51 = e3 % 56.66/22.95 | % 56.66/22.95 | Equations (660) can reduce 139 to: % 56.66/22.95 | (246) ~ (all_0_39_39 = e3) % 56.66/22.95 | % 56.66/22.95 | Equations (660) can reduce 61 to: % 56.66/22.95 | (405) ~ (all_0_42_42 = e3) % 56.66/22.95 | % 56.66/22.95 | Equations (660) can reduce 475 to: % 56.66/22.95 | (277) ~ (e4 = e3) % 56.66/22.95 | % 56.66/22.95 | Simplifying 277 yields: % 56.66/22.95 | (188) ~ (e4 = e3) % 56.66/22.95 | % 56.66/22.95 | Equations (660) can reduce 115 to: % 56.66/22.95 | (80) ~ (e3 = e0) % 56.66/22.95 | % 56.66/22.95 | From (660) and (177) follows: % 56.66/22.95 | (9464) op(e3, e2) = all_0_25_25 % 56.66/22.95 | % 56.66/22.95 | From (660) and (186) follows: % 56.66/22.95 | (1552) op(e1, e2) = e3 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (135), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (545) all_0_46_46 = e1 % 56.66/22.95 | % 56.66/22.95 | Equations (545) can reduce 549 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (549) ~ (all_0_46_46 = e1) % 56.66/22.95 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (550), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (654) all_0_47_47 = e1 % 56.66/22.95 | % 56.66/22.95 | Combining equations (654,348) yields a new equation: % 56.66/22.95 | (9471) all_0_18_18 = e1 % 56.66/22.95 | % 56.66/22.95 | Equations (654) can reduce 79 to: % 56.66/22.95 | (151) ~ (all_0_39_39 = e1) % 56.66/22.95 | % 56.66/22.95 | Equations (654) can reduce 198 to: % 56.66/22.95 | (1380) ~ (all_0_42_42 = e1) % 56.66/22.95 | % 56.66/22.95 | Equations (654) can reduce 86 to: % 56.66/22.95 | (1419) ~ (all_0_49_49 = e1) % 56.66/22.95 | % 56.66/22.95 | Simplifying 1419 yields: % 56.66/22.95 | (1064) ~ (all_0_49_49 = e1) % 56.66/22.95 | % 56.66/22.95 | Equations (654) can reduce 338 to: % 56.66/22.95 | (604) ~ (e2 = e1) % 56.66/22.95 | % 56.66/22.95 | Simplifying 604 yields: % 56.66/22.95 | (122) ~ (e2 = e1) % 56.66/22.95 | % 56.66/22.95 | From (654) and (23) follows: % 56.66/22.95 | (9478) op(e2, e2) = e1 % 56.66/22.95 | % 56.66/22.95 | Instantiating formula (29) with e3, e2, all_0_25_25, all_0_42_42 and discharging atoms op(e3, e2) = all_0_25_25, op(e3, e2) = all_0_42_42, yields: % 56.66/22.95 | (9479) all_0_25_25 = all_0_42_42 % 56.66/22.95 | % 56.66/22.95 | Instantiating formula (29) with e2, e2, e1, all_0_34_34 and discharging atoms op(e2, e2) = all_0_34_34, op(e2, e2) = e1, yields: % 56.66/22.95 | (9480) all_0_34_34 = e1 % 56.66/22.95 | % 56.66/22.95 | Instantiating formula (29) with e2, e1, all_0_27_27, e2 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = e2, yields: % 56.66/22.95 | (1590) all_0_27_27 = e2 % 56.66/22.95 | % 56.66/22.95 | Instantiating formula (29) with e2, e0, all_0_28_28, all_0_49_49 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = all_0_49_49, yields: % 56.66/22.95 | (7482) all_0_28_28 = all_0_49_49 % 56.66/22.95 | % 56.66/22.95 | Instantiating formula (29) with e2, e0, all_0_33_33, all_0_28_28 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = all_0_33_33, yields: % 56.66/22.95 | (1591) all_0_28_28 = all_0_33_33 % 56.66/22.95 | % 56.66/22.95 | Combining equations (1591,7482) yields a new equation: % 56.66/22.95 | (7485) all_0_33_33 = all_0_49_49 % 56.66/22.95 | % 56.66/22.95 | Simplifying 7485 yields: % 56.66/22.95 | (7486) all_0_33_33 = all_0_49_49 % 56.66/22.95 | % 56.66/22.95 | From (9479) and (9464) follows: % 56.66/22.95 | (210) op(e3, e2) = all_0_42_42 % 56.66/22.95 | % 56.66/22.95 | From (1590) and (1555) follows: % 56.66/22.95 | (347) op(e2, e1) = e2 % 56.66/22.95 | % 56.66/22.95 | From (7486) and (1507) follows: % 56.66/22.95 | (55) op(e2, e0) = all_0_49_49 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (113), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (403) all_0_41_41 = e3 % 56.66/22.95 | % 56.66/22.95 | Equations (403) can reduce 214 to: % 56.66/22.95 | (404) ~ (all_0_42_42 = e3) % 56.66/22.95 | % 56.66/22.95 | Simplifying 404 yields: % 56.66/22.95 | (405) ~ (all_0_42_42 = e3) % 56.66/22.95 | % 56.66/22.95 | Equations (403) can reduce 43 to: % 56.66/22.95 | (408) ~ (all_0_46_46 = e3) % 56.66/22.95 | % 56.66/22.95 | Simplifying 408 yields: % 56.66/22.95 | (409) ~ (all_0_46_46 = e3) % 56.66/22.95 | % 56.66/22.95 | Equations (403) can reduce 440 to: % 56.66/22.95 | (277) ~ (e4 = e3) % 56.66/22.95 | % 56.66/22.95 | Simplifying 277 yields: % 56.66/22.95 | (188) ~ (e4 = e3) % 56.66/22.95 | % 56.66/22.95 | Equations (403) can reduce 457 to: % 56.66/22.95 | (213) ~ (e3 = e1) % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (78), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (423) all_0_45_45 = e3 % 56.66/22.95 | % 56.66/22.95 | Combining equations (248,423) yields a new equation: % 56.66/22.95 | (424) e4 = e3 % 56.66/22.95 | % 56.66/22.95 | Simplifying 424 yields: % 56.66/22.95 | (425) e4 = e3 % 56.66/22.95 | % 56.66/22.95 | Equations (425) can reduce 188 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (427) ~ (all_0_45_45 = e3) % 56.66/22.95 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 56.66/22.95 | % 56.66/22.95 +-Applying beta-rule and splitting (123), into two cases. % 56.66/22.95 |-Branch one: % 56.66/22.95 | (1794) all_0_46_46 = e2 % 56.66/22.95 | % 56.66/22.95 | Equations (1794) can reduce 300 to: % 56.66/22.95 | (266) $false % 56.66/22.95 | % 56.66/22.95 |-The branch is then unsatisfiable % 56.66/22.95 |-Branch two: % 56.66/22.95 | (300) ~ (all_0_46_46 = e2) % 56.66/22.95 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.66/22.95 | % 56.66/22.96 +-Applying beta-rule and splitting (428), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (1557) all_0_46_46 = e3 % 56.66/22.96 | % 56.66/22.96 | Equations (1557) can reduce 409 to: % 56.66/22.96 | (266) $false % 56.66/22.96 | % 56.66/22.96 |-The branch is then unsatisfiable % 56.66/22.96 |-Branch two: % 56.66/22.96 | (409) ~ (all_0_46_46 = e3) % 56.66/22.96 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (1797), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (770) all_0_46_46 = e4 % 56.66/22.96 | % 56.66/22.96 | Equations (770) can reduce 250 to: % 56.66/22.96 | (266) $false % 56.66/22.96 | % 56.66/22.96 |-The branch is then unsatisfiable % 56.66/22.96 |-Branch two: % 56.66/22.96 | (250) ~ (all_0_46_46 = e4) % 56.66/22.96 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (1561), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (522) all_0_47_47 = e3 % 56.66/22.96 | % 56.66/22.96 | Combining equations (654,522) yields a new equation: % 56.66/22.96 | (455) e3 = e1 % 56.66/22.96 | % 56.66/22.96 | Equations (455) can reduce 213 to: % 56.66/22.96 | (266) $false % 56.66/22.96 | % 56.66/22.96 |-The branch is then unsatisfiable % 56.66/22.96 |-Branch two: % 56.66/22.96 | (1091) ~ (all_0_47_47 = e3) % 56.66/22.96 | (884) all_0_49_49 = e3 % 56.66/22.96 | % 56.66/22.96 | Combining equations (884,7482) yields a new equation: % 56.66/22.96 | (1592) all_0_28_28 = e3 % 56.66/22.96 | % 56.66/22.96 | Equations (884) can reduce 9 to: % 56.66/22.96 | (407) ~ (all_0_44_44 = e3) % 56.66/22.96 | % 56.66/22.96 | Equations (884) can reduce 256 to: % 56.66/22.96 | (277) ~ (e4 = e3) % 56.66/22.96 | % 56.66/22.96 | Simplifying 277 yields: % 56.66/22.96 | (188) ~ (e4 = e3) % 56.66/22.96 | % 56.66/22.96 | Equations (884) can reduce 1064 to: % 56.66/22.96 | (213) ~ (e3 = e1) % 56.66/22.96 | % 56.66/22.96 | From (884) and (129) follows: % 56.66/22.96 | (4740) op(e3, e2) = all_0_20_20 % 56.66/22.96 | % 56.66/22.96 | From (884) and (66) follows: % 56.66/22.96 | (1580) op(e3, e0) = all_0_21_21 % 56.66/22.96 | % 56.66/22.96 | From (884) and (55) follows: % 56.66/22.96 | (1581) op(e2, e0) = e3 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (184), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (538) all_0_46_46 = e0 % 56.66/22.96 | % 56.66/22.96 | Combining equations (538,310) yields a new equation: % 56.66/22.96 | (9529) all_0_1_1 = e0 % 56.66/22.96 | % 56.66/22.96 | Equations (538) can reduce 250 to: % 56.66/22.96 | (401) ~ (e4 = e0) % 56.66/22.96 | % 56.66/22.96 | Simplifying 401 yields: % 56.66/22.96 | (49) ~ (e4 = e0) % 56.66/22.96 | % 56.66/22.96 | From (538) and (33) follows: % 56.66/22.96 | (543) op(e0, e3) = all_0_16_16 % 56.66/22.96 | % 56.66/22.96 | From (538) and (179) follows: % 56.66/22.96 | (1544) op(e0, e2) = all_0_15_15 % 56.66/22.96 | % 56.66/22.96 | Instantiating formula (29) with e3, e2, all_0_20_20, all_0_42_42 and discharging atoms op(e3, e2) = all_0_20_20, op(e3, e2) = all_0_42_42, yields: % 56.66/22.96 | (9534) all_0_20_20 = all_0_42_42 % 56.66/22.96 | % 56.66/22.96 | Instantiating formula (29) with e3, e0, all_0_21_21, all_0_44_44 and discharging atoms op(e3, e0) = all_0_21_21, op(e3, e0) = all_0_44_44, yields: % 56.66/22.96 | (9535) all_0_21_21 = all_0_44_44 % 56.66/22.96 | % 56.66/22.96 | Instantiating formula (29) with e0, e3, all_0_16_16, e4 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e4, yields: % 56.66/22.96 | (687) all_0_16_16 = e4 % 56.66/22.96 | % 56.66/22.96 | Instantiating formula (29) with e0, e2, all_0_15_15, e2 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = e2, yields: % 56.66/22.96 | (1599) all_0_15_15 = e2 % 56.66/22.96 | % 56.66/22.96 | From (9534) and (4740) follows: % 56.66/22.96 | (210) op(e3, e2) = all_0_42_42 % 56.66/22.96 | % 56.66/22.96 | From (9535) and (1580) follows: % 56.66/22.96 | (138) op(e3, e0) = all_0_44_44 % 56.66/22.96 | % 56.66/22.96 | From (687) and (543) follows: % 56.66/22.96 | (589) op(e0, e3) = e4 % 56.66/22.96 | % 56.66/22.96 | From (1599) and (1544) follows: % 56.66/22.96 | (1508) op(e0, e2) = e2 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (64), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (437) all_0_41_41 = e4 % 56.66/22.96 | % 56.66/22.96 | Combining equations (403,437) yields a new equation: % 56.66/22.96 | (425) e4 = e3 % 56.66/22.96 | % 56.66/22.96 | Equations (425) can reduce 188 to: % 56.66/22.96 | (266) $false % 56.66/22.96 | % 56.66/22.96 |-The branch is then unsatisfiable % 56.66/22.96 |-Branch two: % 56.66/22.96 | (440) ~ (all_0_41_41 = e4) % 56.66/22.96 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (75), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (485) all_0_40_40 = e0 % 56.66/22.96 | % 56.66/22.96 | Equations (485) can reduce 176 to: % 56.66/22.96 | (484) ~ (all_0_39_39 = e0) % 56.66/22.96 | % 56.66/22.96 | Equations (485) can reduce 296 to: % 56.66/22.96 | (365) ~ (e2 = e0) % 56.66/22.96 | % 56.66/22.96 | Simplifying 365 yields: % 56.66/22.96 | (128) ~ (e2 = e0) % 56.66/22.96 | % 56.66/22.96 | Equations (485) can reduce 132 to: % 56.66/22.96 | (435) ~ (e1 = e0) % 56.66/22.96 | % 56.66/22.96 | Simplifying 435 yields: % 56.66/22.96 | (233) ~ (e1 = e0) % 56.66/22.96 | % 56.66/22.96 | From (485) and (203) follows: % 56.66/22.96 | (495) op(e0, e0) = all_0_5_5 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (26), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (446) all_0_44_44 = e4 % 56.66/22.96 | % 56.66/22.96 | Combining equations (446,9535) yields a new equation: % 56.66/22.96 | (9555) all_0_21_21 = e4 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (104), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (480) all_0_39_39 = e0 % 56.66/22.96 | % 56.66/22.96 | Equations (480) can reduce 484 to: % 56.66/22.96 | (266) $false % 56.66/22.96 | % 56.66/22.96 |-The branch is then unsatisfiable % 56.66/22.96 |-Branch two: % 56.66/22.96 | (484) ~ (all_0_39_39 = e0) % 56.66/22.96 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (164), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (471) all_0_39_39 = e4 % 56.66/22.96 | % 56.66/22.96 | Equations (471) can reduce 145 to: % 56.66/22.96 | (1901) ~ (all_0_42_42 = e4) % 56.66/22.96 | % 56.66/22.96 | Simplifying 1901 yields: % 56.66/22.96 | (1890) ~ (all_0_42_42 = e4) % 56.66/22.96 | % 56.66/22.96 | Equations (471) can reduce 246 to: % 56.66/22.96 | (188) ~ (e4 = e3) % 56.66/22.96 | % 56.66/22.96 | Equations (471) can reduce 294 to: % 56.66/22.96 | (48) ~ (e4 = e2) % 56.66/22.96 | % 56.66/22.96 | Equations (471) can reduce 151 to: % 56.66/22.96 | (110) ~ (e4 = e1) % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (558), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (559) all_0_42_42 = e0 % 56.66/22.96 | % 56.66/22.96 | Combining equations (559,9479) yields a new equation: % 56.66/22.96 | (5156) all_0_25_25 = e0 % 56.66/22.96 | % 56.66/22.96 | Equations (559) can reduce 1890 to: % 56.66/22.96 | (401) ~ (e4 = e0) % 56.66/22.96 | % 56.66/22.96 | Simplifying 401 yields: % 56.66/22.96 | (49) ~ (e4 = e0) % 56.66/22.96 | % 56.66/22.96 | Equations (559) can reduce 51 to: % 56.66/22.96 | (365) ~ (e2 = e0) % 56.66/22.96 | % 56.66/22.96 | Simplifying 365 yields: % 56.66/22.96 | (128) ~ (e2 = e0) % 56.66/22.96 | % 56.66/22.96 | Equations (559) can reduce 1380 to: % 56.66/22.96 | (435) ~ (e1 = e0) % 56.66/22.96 | % 56.66/22.96 | Simplifying 435 yields: % 56.66/22.96 | (233) ~ (e1 = e0) % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (238), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (396) all_0_43_43 = e4 % 56.66/22.96 | % 56.66/22.96 | Combining equations (430,396) yields a new equation: % 56.66/22.96 | (630) e4 = e1 % 56.66/22.96 | % 56.66/22.96 | Equations (630) can reduce 110 to: % 56.66/22.96 | (266) $false % 56.66/22.96 | % 56.66/22.96 |-The branch is then unsatisfiable % 56.66/22.96 |-Branch two: % 56.66/22.96 | (399) ~ (all_0_43_43 = e4) % 56.66/22.96 | (9578) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_45_45 = e3 & ~ (all_0_38_38 = e2) & ~ (all_0_46_46 = e4)) % 56.66/22.96 | % 56.66/22.96 | Equations (430) can reduce 399 to: % 56.66/22.96 | (602) ~ (e4 = e1) % 56.66/22.96 | % 56.66/22.96 | Simplifying 602 yields: % 56.66/22.96 | (110) ~ (e4 = e1) % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (9578), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (9581) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_53_53 = all_0_57_57)) % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (9581), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (9582) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_49_49 = all_0_56_56)) % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (9582), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (9583) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55)) % 56.66/22.96 | % 56.66/22.96 +-Applying beta-rule and splitting (9583), into two cases. % 56.66/22.96 |-Branch one: % 56.66/22.96 | (9584) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) | (all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9584), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9585) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9585), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9586) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9586), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9587) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9587), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9588) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) | (all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9588), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9589) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9589), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9590) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9590), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9591) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) | (all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9591), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9592) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9592), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9593) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) | (all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9593), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9594) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) | (all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9594), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9595) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9595), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9596) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45)) % 56.66/22.97 | % 56.66/22.97 +-Applying beta-rule and splitting (9596), into two cases. % 56.66/22.97 |-Branch one: % 56.66/22.97 | (9597) all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_38_38 = e2) % 56.66/22.97 | % 56.66/22.97 | Applying alpha-rule on (9597) yields: % 56.66/22.97 | (9598) all_0_1_1 = e4 % 56.66/22.97 | (9599) ~ (all_0_0_0 = e3) % 56.66/22.97 | (9600) ~ (all_0_38_38 = e2) % 56.66/22.97 | % 56.66/22.97 | Combining equations (9598,9529) yields a new equation: % 56.66/22.97 | (481) e4 = e0 % 56.66/22.97 | % 56.66/22.97 | Simplifying 481 yields: % 56.66/22.97 | (397) e4 = e0 % 56.66/22.97 | % 56.66/22.97 | Equations (397) can reduce 49 to: % 56.66/22.97 | (266) $false % 56.66/22.97 | % 56.66/22.97 |-The branch is then unsatisfiable % 56.66/22.97 |-Branch two: % 56.66/22.97 | (9604) all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_39_39 = all_0_45_45) % 56.66/22.97 | % 56.66/22.97 | Applying alpha-rule on (9604) yields: % 56.66/22.97 | (2165) all_0_3_3 = e4 % 56.66/22.97 | (9606) ~ (all_0_2_2 = e2) % 56.66/22.97 | (9607) ~ (all_0_39_39 = all_0_45_45) % 56.66/22.98 | % 56.66/22.98 | Equations (471,248) can reduce 9607 to: % 56.66/22.98 | (266) $false % 56.66/22.98 | % 56.66/22.98 |-The branch is then unsatisfiable % 56.66/22.98 |-Branch two: % 56.66/22.98 | (9609) all_0_5_5 = e4 & ~ (all_0_4_4 = e0) & ~ (all_0_40_40 = all_0_54_54) % 56.66/22.98 | % 56.66/22.98 | Applying alpha-rule on (9609) yields: % 56.66/22.98 | (9610) all_0_5_5 = e4 % 56.66/22.98 | (9611) ~ (all_0_4_4 = e0) % 56.66/22.98 | (9612) ~ (all_0_40_40 = all_0_54_54) % 56.66/22.98 | % 56.66/22.98 | From (9610) and (495) follows: % 56.66/22.98 | (2661) op(e0, e0) = e4 % 56.66/22.98 | % 56.66/22.98 | Instantiating formula (29) with e0, e0, e4, e1 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e1, yields: % 56.66/22.98 | (630) e4 = e1 % 56.66/22.98 | % 56.66/22.98 | Equations (630) can reduce 110 to: % 56.66/22.98 | (266) $false % 56.66/22.98 | % 56.66/22.98 |-The branch is then unsatisfiable % 56.66/22.98 |-Branch two: % 56.66/22.98 | (9616) all_0_8_8 = e3 & ~ (all_0_7_7 = e2) & ~ (all_0_42_42 = all_0_46_46) % 56.66/22.98 | % 56.66/22.98 | Applying alpha-rule on (9616) yields: % 56.66/22.98 | (4675) all_0_8_8 = e3 % 56.66/22.98 | (9618) ~ (all_0_7_7 = e2) % 56.66/22.98 | (9619) ~ (all_0_42_42 = all_0_46_46) % 56.66/22.98 | % 56.66/22.98 | Equations (559,538) can reduce 9619 to: % 56.66/22.98 | (266) $false % 56.66/22.98 | % 56.66/22.98 |-The branch is then unsatisfiable % 56.66/22.98 |-Branch two: % 56.66/22.98 | (9621) all_0_10_10 = e3 & ~ (all_0_9_9 = e1) & ~ (all_0_43_43 = all_0_50_50) % 56.66/22.98 | % 56.66/22.98 | Applying alpha-rule on (9621) yields: % 56.66/22.98 | (9622) all_0_10_10 = e3 % 56.66/22.98 | (9623) ~ (all_0_9_9 = e1) % 56.66/22.98 | (9624) ~ (all_0_43_43 = all_0_50_50) % 56.66/22.98 | % 56.66/22.98 | Combining equations (9622,6394) yields a new equation: % 56.66/22.98 | (425) e4 = e3 % 56.66/22.98 | % 56.66/22.98 | Equations (425) can reduce 188 to: % 56.66/22.98 | (266) $false % 56.66/22.98 | % 56.66/22.98 |-The branch is then unsatisfiable % 56.66/22.98 |-Branch two: % 56.66/22.98 | (9627) all_0_12_12 = e3 & ~ (all_0_11_11 = e0) & ~ (all_0_44_44 = all_0_55_55) % 56.66/22.98 | % 56.66/22.98 | Applying alpha-rule on (9627) yields: % 56.66/22.98 | (2156) all_0_12_12 = e3 % 56.66/22.98 | (9629) ~ (all_0_11_11 = e0) % 56.66/22.98 | (9630) ~ (all_0_44_44 = all_0_55_55) % 56.66/22.98 | % 56.96/22.98 | Equations (446,587) can reduce 9630 to: % 56.96/22.98 | (266) $false % 56.96/22.98 | % 56.96/22.98 |-The branch is then unsatisfiable % 56.96/22.98 |-Branch two: % 56.96/22.98 | (9632) all_0_14_14 = e2 & ~ (all_0_13_13 = e4) & ~ (all_0_39_39 = all_0_45_45) % 56.96/22.98 | % 56.96/22.98 | Applying alpha-rule on (9632) yields: % 56.96/22.98 | (9633) all_0_14_14 = e2 % 56.96/22.98 | (9634) ~ (all_0_13_13 = e4) % 56.96/22.98 | (9607) ~ (all_0_39_39 = all_0_45_45) % 56.96/22.98 | % 56.96/22.99 | Combining equations (284,9633) yields a new equation: % 56.96/22.99 | (617) e2 = e1 % 56.96/22.99 | % 56.96/22.99 | Equations (617) can reduce 122 to: % 56.96/22.99 | (266) $false % 56.96/22.99 | % 56.96/22.99 |-The branch is then unsatisfiable % 56.96/22.99 |-Branch two: % 56.96/22.99 | (9638) all_0_16_16 = e2 & ~ (all_0_15_15 = e3) & ~ (all_0_42_42 = all_0_46_46) % 56.96/22.99 | % 56.96/22.99 | Applying alpha-rule on (9638) yields: % 56.96/22.99 | (9639) all_0_16_16 = e2 % 56.96/22.99 | (9640) ~ (all_0_15_15 = e3) % 56.96/22.99 | (9619) ~ (all_0_42_42 = all_0_46_46) % 56.96/22.99 | % 56.96/22.99 | Combining equations (9639,687) yields a new equation: % 56.96/22.99 | (323) e4 = e2 % 56.96/22.99 | % 56.96/22.99 | Equations (323) can reduce 48 to: % 56.96/22.99 | (266) $false % 56.96/22.99 | % 56.96/22.99 |-The branch is then unsatisfiable % 56.96/22.99 |-Branch two: % 56.96/22.99 | (9644) all_0_19_19 = e2 & ~ (all_0_18_18 = e1) & ~ (all_0_48_48 = all_0_51_51) % 56.96/22.99 | % 56.96/22.99 | Applying alpha-rule on (9644) yields: % 56.96/22.99 | (349) all_0_19_19 = e2 % 56.96/22.99 | (9646) ~ (all_0_18_18 = e1) % 56.96/22.99 | (9647) ~ (all_0_48_48 = all_0_51_51) % 56.96/22.99 | % 56.96/22.99 | Equations (9471) can reduce 9646 to: % 56.96/22.99 | (266) $false % 56.96/22.99 | % 56.96/22.99 |-The branch is then unsatisfiable % 56.96/22.99 |-Branch two: % 56.96/22.99 | (9649) all_0_21_21 = e2 & ~ (all_0_20_20 = e0) & ~ (all_0_49_49 = all_0_56_56) % 56.96/22.99 | % 56.96/22.99 | Applying alpha-rule on (9649) yields: % 56.96/22.99 | (4269) all_0_21_21 = e2 % 56.96/22.99 | (9651) ~ (all_0_20_20 = e0) % 56.96/22.99 | (9652) ~ (all_0_49_49 = all_0_56_56) % 56.96/22.99 | % 56.96/22.99 | Combining equations (9555,4269) yields a new equation: % 56.96/22.99 | (322) e4 = e2 % 56.96/22.99 | % 56.96/22.99 | Simplifying 322 yields: % 56.96/22.99 | (323) e4 = e2 % 56.96/22.99 | % 56.96/22.99 | Equations (323) can reduce 48 to: % 56.96/22.99 | (266) $false % 56.96/22.99 | % 56.96/22.99 |-The branch is then unsatisfiable % 56.96/22.99 |-Branch two: % 56.96/22.99 | (9656) all_0_23_23 = e1 & ~ (all_0_22_22 = e3) & ~ (all_0_43_43 = all_0_50_50) % 56.96/22.99 | % 56.96/22.99 | Applying alpha-rule on (9656) yields: % 56.96/22.99 | (9657) all_0_23_23 = e1 % 56.96/22.99 | (9658) ~ (all_0_22_22 = e3) % 56.96/22.99 | (9624) ~ (all_0_43_43 = all_0_50_50) % 56.96/22.99 | % 56.96/22.99 | Equations (430,601) can reduce 9624 to: % 56.96/22.99 | (266) $false % 56.96/22.99 | % 56.96/22.99 |-The branch is then unsatisfiable % 56.96/22.99 |-Branch two: % 56.96/22.99 | (9661) all_0_25_25 = e1 & ~ (all_0_24_24 = e2) & ~ (all_0_48_48 = all_0_51_51) % 56.96/22.99 | % 56.96/22.99 | Applying alpha-rule on (9661) yields: % 56.96/22.99 | (4271) all_0_25_25 = e1 % 56.96/22.99 | (9663) ~ (all_0_24_24 = e2) % 56.96/22.99 | (9647) ~ (all_0_48_48 = all_0_51_51) % 56.96/22.99 | % 56.96/22.99 | Combining equations (4271,5156) yields a new equation: % 56.96/22.99 | (546) e1 = e0 % 56.96/22.99 | % 56.96/22.99 | Simplifying 546 yields: % 56.96/22.99 | (431) e1 = e0 % 56.96/22.99 | % 56.96/22.99 | Equations (431) can reduce 233 to: % 56.96/22.99 | (266) $false % 56.96/22.99 | % 56.96/22.99 |-The branch is then unsatisfiable % 56.96/23.00 |-Branch two: % 56.96/23.00 | (9668) all_0_28_28 = e1 & ~ (all_0_27_27 = e0) & ~ (all_0_53_53 = all_0_57_57) % 56.96/23.00 | % 56.96/23.00 | Applying alpha-rule on (9668) yields: % 56.96/23.00 | (9669) all_0_28_28 = e1 % 56.96/23.00 | (9670) ~ (all_0_27_27 = e0) % 56.96/23.00 | (9671) ~ (all_0_53_53 = all_0_57_57) % 56.96/23.00 | % 56.96/23.00 | Combining equations (9669,1592) yields a new equation: % 56.96/23.00 | (455) e3 = e1 % 56.96/23.00 | % 56.96/23.00 | Equations (455) can reduce 213 to: % 56.96/23.00 | (266) $false % 56.96/23.00 | % 56.96/23.00 |-The branch is then unsatisfiable % 56.96/23.00 |-Branch two: % 56.96/23.00 | (9674) all_0_30_30 = e0 & ~ (all_0_29_29 = e4) & ~ (all_0_40_40 = all_0_54_54) % 56.96/23.00 | % 56.96/23.00 | Applying alpha-rule on (9674) yields: % 56.96/23.00 | (9675) all_0_30_30 = e0 % 56.96/23.00 | (9676) ~ (all_0_29_29 = e4) % 56.96/23.00 | (9612) ~ (all_0_40_40 = all_0_54_54) % 56.96/23.00 | % 56.96/23.00 | Combining equations (9675,286) yields a new equation: % 56.96/23.00 | (330) e2 = e0 % 56.96/23.00 | % 56.96/23.00 | Equations (330) can reduce 128 to: % 56.96/23.00 | (266) $false % 56.96/23.00 | % 56.96/23.00 |-The branch is then unsatisfiable % 56.96/23.00 |-Branch two: % 56.96/23.00 | (9680) all_0_32_32 = e0 & ~ (all_0_31_31 = e3) & ~ (all_0_44_44 = all_0_55_55) % 56.96/23.00 | % 56.96/23.00 | Applying alpha-rule on (9680) yields: % 56.96/23.00 | (2163) all_0_32_32 = e0 % 56.96/23.00 | (9682) ~ (all_0_31_31 = e3) % 56.96/23.00 | (9630) ~ (all_0_44_44 = all_0_55_55) % 56.96/23.00 | % 56.96/23.00 | Combining equations (2163,8739) yields a new equation: % 56.96/23.00 | (330) e2 = e0 % 56.96/23.00 | % 56.96/23.00 | Equations (330) can reduce 128 to: % 56.96/23.00 | (266) $false % 56.96/23.00 | % 56.96/23.00 |-The branch is then unsatisfiable % 56.96/23.00 |-Branch two: % 56.96/23.00 | (9686) all_0_34_34 = e0 & ~ (all_0_33_33 = e2) & ~ (all_0_49_49 = all_0_56_56) % 56.96/23.00 | % 56.96/23.00 | Applying alpha-rule on (9686) yields: % 56.96/23.00 | (9687) all_0_34_34 = e0 % 56.96/23.00 | (9688) ~ (all_0_33_33 = e2) % 56.96/23.00 | (9652) ~ (all_0_49_49 = all_0_56_56) % 56.96/23.00 | % 56.96/23.00 | Combining equations (9480,9687) yields a new equation: % 56.96/23.00 | (546) e1 = e0 % 56.96/23.00 | % 56.96/23.00 | Simplifying 546 yields: % 56.96/23.00 | (431) e1 = e0 % 56.96/23.00 | % 56.96/23.00 | Equations (431) can reduce 233 to: % 56.96/23.00 | (266) $false % 56.96/23.00 | % 56.96/23.00 |-The branch is then unsatisfiable % 56.96/23.00 |-Branch two: % 56.96/23.00 | (9693) all_0_36_36 = e0 & ~ (all_0_35_35 = e1) & ~ (all_0_53_53 = all_0_57_57) % 56.96/23.00 | % 56.96/23.00 | Applying alpha-rule on (9693) yields: % 56.96/23.00 | (9694) all_0_36_36 = e0 % 56.96/23.00 | (9695) ~ (all_0_35_35 = e1) % 56.96/23.00 | (9671) ~ (all_0_53_53 = all_0_57_57) % 56.96/23.00 | % 56.96/23.00 | Equations (9437) can reduce 9695 to: % 56.96/23.00 | (266) $false % 56.96/23.00 | % 56.96/23.00 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (9698) all_0_45_45 = e3 & ~ (all_0_38_38 = e2) & ~ (all_0_46_46 = e4) % 56.96/23.01 | % 56.96/23.01 | Applying alpha-rule on (9698) yields: % 56.96/23.01 | (423) all_0_45_45 = e3 % 56.96/23.01 | (9600) ~ (all_0_38_38 = e2) % 56.96/23.01 | (250) ~ (all_0_46_46 = e4) % 56.96/23.01 | % 56.96/23.01 | Combining equations (248,423) yields a new equation: % 56.96/23.01 | (424) e4 = e3 % 56.96/23.01 | % 56.96/23.01 | Simplifying 424 yields: % 56.96/23.01 | (425) e4 = e3 % 56.96/23.01 | % 56.96/23.01 | Equations (425) can reduce 188 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (358) ~ (all_0_42_42 = e0) % 56.96/23.01 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (563), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (674) all_0_47_47 = e0 % 56.96/23.01 | % 56.96/23.01 | Combining equations (674,654) yields a new equation: % 56.96/23.01 | (431) e1 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (431) can reduce 233 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (678) ~ (all_0_47_47 = e0) % 56.96/23.01 | (679) all_0_56_56 = e0 % 56.96/23.01 | % 56.96/23.01 | Combining equations (679,833) yields a new equation: % 56.96/23.01 | (330) e2 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (330) can reduce 128 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.01 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (320), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (471) all_0_39_39 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (471) can reduce 1377 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.01 | (480) all_0_39_39 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (480) can reduce 484 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.01 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (104), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (480) all_0_39_39 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (480) can reduce 484 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (484) ~ (all_0_39_39 = e0) % 56.96/23.01 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (150), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (1378) all_0_40_40 = e4 % 56.96/23.01 | % 56.96/23.01 | Combining equations (485,1378) yields a new equation: % 56.96/23.01 | (397) e4 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (397) can reduce 49 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (447) ~ (all_0_40_40 = e4) % 56.96/23.01 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (320), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (471) all_0_39_39 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (471) can reduce 145 to: % 56.96/23.01 | (1901) ~ (all_0_42_42 = e4) % 56.96/23.01 | % 56.96/23.01 | Simplifying 1901 yields: % 56.96/23.01 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.01 | % 56.96/23.01 | Equations (471) can reduce 151 to: % 56.96/23.01 | (110) ~ (e4 = e1) % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (152), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (1392) all_0_42_42 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (1392) can reduce 1890 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.01 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (2271), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (446) all_0_44_44 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (446) can reduce 1390 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.01 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (441), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (1392) all_0_42_42 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (1392) can reduce 1890 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.01 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (1891), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (396) all_0_43_43 = e4 % 56.96/23.01 | % 56.96/23.01 | Combining equations (430,396) yields a new equation: % 56.96/23.01 | (630) e4 = e1 % 56.96/23.01 | % 56.96/23.01 | Equations (630) can reduce 110 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (399) ~ (all_0_43_43 = e4) % 56.96/23.01 | (446) all_0_44_44 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (446) can reduce 1390 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.01 | (480) all_0_39_39 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (480) can reduce 484 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1401) ~ (all_0_40_40 = e0) % 56.96/23.01 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (316), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (1378) all_0_40_40 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (1378) can reduce 176 to: % 56.96/23.01 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.01 | % 56.96/23.01 | Equations (1378) can reduce 143 to: % 56.96/23.01 | (1903) ~ (all_0_44_44 = e4) % 56.96/23.01 | % 56.96/23.01 | Simplifying 1903 yields: % 56.96/23.01 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.01 | % 56.96/23.01 | From (1378) and (34) follows: % 56.96/23.01 | (1455) op(e4, e4) = all_0_4_4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (164), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (471) all_0_39_39 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (471) can reduce 1377 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.01 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (26), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (446) all_0_44_44 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (446) can reduce 1390 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.01 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (320), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (471) all_0_39_39 = e4 % 56.96/23.01 | % 56.96/23.01 | Equations (471) can reduce 1377 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.01 | (480) all_0_39_39 = e0 % 56.96/23.01 | % 56.96/23.01 | From (480) and (182) follows: % 56.96/23.01 | (1412) op(e0, e4) = all_0_2_2 % 56.96/23.01 | % 56.96/23.01 | From (480) and (38) follows: % 56.96/23.01 | (1413) op(e0, e2) = all_0_3_3 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (152), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (1392) all_0_42_42 = e4 % 56.96/23.01 | % 56.96/23.01 | From (1392) and (210) follows: % 56.96/23.01 | (4074) op(e3, e2) = e4 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (1391), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (1414) all_0_44_44 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (1414) can reduce 147 to: % 56.96/23.01 | (365) ~ (e2 = e0) % 56.96/23.01 | % 56.96/23.01 | Simplifying 365 yields: % 56.96/23.01 | (128) ~ (e2 = e0) % 56.96/23.01 | % 56.96/23.01 | Equations (1414) can reduce 639 to: % 56.96/23.01 | (435) ~ (e1 = e0) % 56.96/23.01 | % 56.96/23.01 | Simplifying 435 yields: % 56.96/23.01 | (233) ~ (e1 = e0) % 56.96/23.01 | % 56.96/23.01 | From (1414) and (204) follows: % 56.96/23.01 | (9785) op(e0, e3) = all_0_11_11 % 56.96/23.01 | % 56.96/23.01 | From (1414) and (138) follows: % 56.96/23.01 | (1667) op(e3, e0) = e0 % 56.96/23.01 | % 56.96/23.01 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 56.96/23.01 | (1587) all_0_4_4 = e1 % 56.96/23.01 | % 56.96/23.01 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 56.96/23.01 | (1595) all_0_2_2 = e3 % 56.96/23.01 | % 56.96/23.01 | Instantiating formula (29) with e0, e3, all_0_11_11, e4 and discharging atoms op(e0, e3) = all_0_11_11, op(e0, e3) = e4, yields: % 56.96/23.01 | (9789) all_0_11_11 = e4 % 56.96/23.01 | % 56.96/23.01 | Instantiating formula (29) with e0, e2, all_0_3_3, e2 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 56.96/23.01 | (1597) all_0_3_3 = e2 % 56.96/23.01 | % 56.96/23.01 | From (1587) and (1455) follows: % 56.96/23.01 | (41) op(e4, e4) = e1 % 56.96/23.01 | % 56.96/23.01 | From (1595) and (1412) follows: % 56.96/23.01 | (283) op(e0, e4) = e3 % 56.96/23.01 | % 56.96/23.01 | From (9789) and (9785) follows: % 56.96/23.01 | (589) op(e0, e3) = e4 % 56.96/23.01 | % 56.96/23.01 | From (1597) and (1413) follows: % 56.96/23.01 | (1508) op(e0, e2) = e2 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (56), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (696) unit = e2 % 56.96/23.01 | % 56.96/23.01 | From (696) and (211) follows: % 56.96/23.01 | (1612) op(e2, e1) = e1 % 56.96/23.01 | % 56.96/23.01 | From (696) and (42) follows: % 56.96/23.01 | (1613) op(e0, e2) = e0 % 56.96/23.01 | % 56.96/23.01 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 56.96/23.01 | (617) e2 = e1 % 56.96/23.01 | % 56.96/23.01 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 56.96/23.01 | (330) e2 = e0 % 56.96/23.01 | % 56.96/23.01 | Combining equations (617,330) yields a new equation: % 56.96/23.01 | (546) e1 = e0 % 56.96/23.01 | % 56.96/23.01 | Simplifying 546 yields: % 56.96/23.01 | (431) e1 = e0 % 56.96/23.01 | % 56.96/23.01 | Equations (431) can reduce 233 to: % 56.96/23.01 | (266) $false % 56.96/23.01 | % 56.96/23.01 |-The branch is then unsatisfiable % 56.96/23.01 |-Branch two: % 56.96/23.01 | (707) ~ (unit = e2) % 56.96/23.01 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.96/23.01 | % 56.96/23.01 +-Applying beta-rule and splitting (708), into two cases. % 56.96/23.01 |-Branch one: % 56.96/23.01 | (709) unit = e4 % 56.96/23.01 | % 56.96/23.01 | From (709) and (227) follows: % 56.96/23.01 | (710) op(e4, e4) = e4 % 56.96/23.02 | % 56.96/23.02 | From (709) and (40) follows: % 56.96/23.02 | (711) op(e3, e4) = e3 % 56.96/23.02 | % 56.96/23.02 | From (709) and (32) follows: % 56.96/23.02 | (712) op(e2, e4) = e2 % 56.96/23.02 | % 56.96/23.02 | From (709) and (42) follows: % 56.96/23.02 | (713) op(e0, e4) = e0 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.96/23.02 | (630) e4 = e1 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.96/23.02 | (662) e3 = e2 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.96/23.02 | (323) e4 = e2 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.96/23.02 | (676) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (630,323) yields a new equation: % 56.96/23.02 | (617) e2 = e1 % 56.96/23.02 | % 56.96/23.02 | Combining equations (662,676) yields a new equation: % 56.96/23.02 | (391) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 391 yields: % 56.96/23.02 | (330) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (617,330) yields a new equation: % 56.96/23.02 | (546) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 546 yields: % 56.96/23.02 | (431) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (431) can reduce 233 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (724) ~ (unit = e4) % 56.96/23.02 | (725) unit = e3 | unit = e1 | unit = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (725), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (726) unit = e0 % 56.96/23.02 | % 56.96/23.02 | From (726) and (40) follows: % 56.96/23.02 | (1639) op(e3, e0) = e3 % 56.96/23.02 | % 56.96/23.02 | From (726) and (32) follows: % 56.96/23.02 | (727) op(e2, e0) = e2 % 56.96/23.02 | % 56.96/23.02 | From (726) and (28) follows: % 56.96/23.02 | (2698) op(e1, e0) = e1 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 56.96/23.02 | (676) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 56.96/23.02 | (662) e3 = e2 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 56.96/23.02 | (617) e2 = e1 % 56.96/23.02 | % 56.96/23.02 | Combining equations (662,676) yields a new equation: % 56.96/23.02 | (391) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 391 yields: % 56.96/23.02 | (330) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (330,617) yields a new equation: % 56.96/23.02 | (431) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (431) can reduce 233 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (734) ~ (unit = e0) % 56.96/23.02 | (735) unit = e3 | unit = e1 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (735), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (736) unit = e1 % 56.96/23.02 | % 56.96/23.02 | Equations (736) can reduce 734 to: % 56.96/23.02 | (233) ~ (e1 = e0) % 56.96/23.02 | % 56.96/23.02 | From (736) and (244) follows: % 56.96/23.02 | (738) op(e1, e4) = e4 % 56.96/23.02 | % 56.96/23.02 | From (736) and (15) follows: % 56.96/23.02 | (515) op(e1, e2) = e2 % 56.96/23.02 | % 56.96/23.02 | From (736) and (227) follows: % 56.96/23.02 | (739) op(e4, e1) = e4 % 56.96/23.02 | % 56.96/23.02 | From (736) and (28) follows: % 56.96/23.02 | (740) op(e1, e1) = e1 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 56.96/23.02 | (425) e4 = e3 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 56.96/23.02 | (397) e4 = e0 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 56.96/23.02 | (662) e3 = e2 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.96/23.02 | (630) e4 = e1 % 56.96/23.02 | % 56.96/23.02 | Combining equations (630,425) yields a new equation: % 56.96/23.02 | (455) e3 = e1 % 56.96/23.02 | % 56.96/23.02 | Combining equations (397,425) yields a new equation: % 56.96/23.02 | (676) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (676,662) yields a new equation: % 56.96/23.02 | (330) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (455,662) yields a new equation: % 56.96/23.02 | (617) e2 = e1 % 56.96/23.02 | % 56.96/23.02 | Combining equations (617,330) yields a new equation: % 56.96/23.02 | (546) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 546 yields: % 56.96/23.02 | (431) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (431) can reduce 233 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (748) ~ (unit = e1) % 56.96/23.02 | (749) unit = e3 % 56.96/23.02 | % 56.96/23.02 | From (749) and (15) follows: % 56.96/23.02 | (751) op(e3, e2) = e2 % 56.96/23.02 | % 56.96/23.02 | From (749) and (42) follows: % 56.96/23.02 | (752) op(e0, e3) = e0 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 56.96/23.02 | (323) e4 = e2 % 56.96/23.02 | % 56.96/23.02 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 56.96/23.02 | (397) e4 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (323,397) yields a new equation: % 56.96/23.02 | (391) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 391 yields: % 56.96/23.02 | (330) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (330) can reduce 128 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (360) ~ (all_0_44_44 = e0) % 56.96/23.02 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1417), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (635) all_0_44_44 = e1 % 56.96/23.02 | % 56.96/23.02 | Equations (635) can reduce 639 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (639) ~ (all_0_44_44 = e1) % 56.96/23.02 | (532) all_0_44_44 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (532) can reduce 407 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.02 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1391), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (1414) all_0_44_44 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (1414) can reduce 73 to: % 56.96/23.02 | (358) ~ (all_0_42_42 = e0) % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1969), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (559) all_0_42_42 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (559) can reduce 358 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (358) ~ (all_0_42_42 = e0) % 56.96/23.02 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (2510), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (459) all_0_42_42 = e1 % 56.96/23.02 | % 56.96/23.02 | Equations (459) can reduce 1380 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (1380) ~ (all_0_42_42 = e1) % 56.96/23.02 | (516) all_0_42_42 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (516) can reduce 405 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (360) ~ (all_0_44_44 = e0) % 56.96/23.02 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1417), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (635) all_0_44_44 = e1 % 56.96/23.02 | % 56.96/23.02 | Equations (635) can reduce 639 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (639) ~ (all_0_44_44 = e1) % 56.96/23.02 | (532) all_0_44_44 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (532) can reduce 407 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (447) ~ (all_0_40_40 = e4) % 56.96/23.02 | (485) all_0_40_40 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (485) can reduce 1401 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (831) ~ (all_0_46_46 = e0) % 56.96/23.02 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1801), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (538) all_0_46_46 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (538) can reduce 831 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (831) ~ (all_0_46_46 = e0) % 56.96/23.02 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (395), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (794) all_0_41_41 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (403,794) yields a new equation: % 56.96/23.02 | (675) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 675 yields: % 56.96/23.02 | (676) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (676) can reduce 80 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (357) ~ (all_0_41_41 = e0) % 56.96/23.02 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (895), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (538) all_0_46_46 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (538) can reduce 831 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (831) ~ (all_0_46_46 = e0) % 56.96/23.02 | (858) all_0_55_55 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (587,858) yields a new equation: % 56.96/23.02 | (481) e4 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 481 yields: % 56.96/23.02 | (397) e4 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (397) can reduce 49 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (1898) ~ (all_0_41_41 = e3) % 56.96/23.02 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1899), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (516) all_0_42_42 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (516) can reduce 405 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (405) ~ (all_0_42_42 = e3) % 56.96/23.02 | (532) all_0_44_44 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (532) can reduce 143 to: % 56.96/23.02 | (2) ~ (all_0_40_40 = e3) % 56.96/23.02 | % 56.96/23.02 | Equations (532) can reduce 149 to: % 56.96/23.02 | (1898) ~ (all_0_41_41 = e3) % 56.96/23.02 | % 56.96/23.02 | Equations (532) can reduce 639 to: % 56.96/23.02 | (213) ~ (e3 = e1) % 56.96/23.02 | % 56.96/23.02 | From (532) and (70) follows: % 56.96/23.02 | (1954) op(e3, e0) = all_0_12_12 % 56.96/23.02 | % 56.96/23.02 | From (532) and (138) follows: % 56.96/23.02 | (1639) op(e3, e0) = e3 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (78), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (423) all_0_45_45 = e3 % 56.96/23.02 | % 56.96/23.02 | Combining equations (248,423) yields a new equation: % 56.96/23.02 | (424) e4 = e3 % 56.96/23.02 | % 56.96/23.02 | Simplifying 424 yields: % 56.96/23.02 | (425) e4 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (425) can reduce 188 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (427) ~ (all_0_45_45 = e3) % 56.96/23.02 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (248) can reduce 427 to: % 56.96/23.02 | (188) ~ (e4 = e3) % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (144), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (403) all_0_41_41 = e3 % 56.96/23.02 | % 56.96/23.02 | Equations (403) can reduce 1898 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (1898) ~ (all_0_41_41 = e3) % 56.96/23.02 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1923), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (1557) all_0_46_46 = e3 % 56.96/23.02 | % 56.96/23.02 | From (1557) and (120) follows: % 56.96/23.02 | (697) op(e2, e3) = e3 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (27), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (437) all_0_41_41 = e4 % 56.96/23.02 | % 56.96/23.02 | Equations (437) can reduce 440 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (440) ~ (all_0_41_41 = e4) % 56.96/23.02 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (54), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (583) all_0_49_49 = e2 % 56.96/23.02 | % 56.96/23.02 | Equations (583) can reduce 340 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (340) ~ (all_0_49_49 = e2) % 56.96/23.02 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (64), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (437) all_0_41_41 = e4 % 56.96/23.02 | % 56.96/23.02 | Equations (437) can reduce 440 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (440) ~ (all_0_41_41 = e4) % 56.96/23.02 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (184), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (538) all_0_46_46 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (1557,538) yields a new equation: % 56.96/23.02 | (675) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 675 yields: % 56.96/23.02 | (676) e3 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (676) can reduce 80 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (831) ~ (all_0_46_46 = e0) % 56.96/23.02 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (152), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (1392) all_0_42_42 = e4 % 56.96/23.02 | % 56.96/23.02 | Equations (1392) can reduce 145 to: % 56.96/23.02 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (104), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (480) all_0_39_39 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (480) can reduce 176 to: % 56.96/23.02 | (1400) ~ (all_0_40_40 = e0) % 56.96/23.02 | % 56.96/23.02 | Simplifying 1400 yields: % 56.96/23.02 | (1401) ~ (all_0_40_40 = e0) % 56.96/23.02 | % 56.96/23.02 | Equations (480) can reduce 294 to: % 56.96/23.02 | (365) ~ (e2 = e0) % 56.96/23.02 | % 56.96/23.02 | Simplifying 365 yields: % 56.96/23.02 | (128) ~ (e2 = e0) % 56.96/23.02 | % 56.96/23.02 | Equations (480) can reduce 151 to: % 56.96/23.02 | (435) ~ (e1 = e0) % 56.96/23.02 | % 56.96/23.02 | Simplifying 435 yields: % 56.96/23.02 | (233) ~ (e1 = e0) % 56.96/23.02 | % 56.96/23.02 | From (480) and (182) follows: % 56.96/23.02 | (1412) op(e0, e4) = all_0_2_2 % 56.96/23.02 | % 56.96/23.02 | From (480) and (38) follows: % 56.96/23.02 | (1413) op(e0, e2) = all_0_3_3 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (316), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (1378) all_0_40_40 = e4 % 56.96/23.02 | % 56.96/23.02 | From (1378) and (34) follows: % 56.96/23.02 | (1455) op(e4, e4) = all_0_4_4 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (832), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (674) all_0_47_47 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (654,674) yields a new equation: % 56.96/23.02 | (546) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Simplifying 546 yields: % 56.96/23.02 | (431) e1 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (431) can reduce 233 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (678) ~ (all_0_47_47 = e0) % 56.96/23.02 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.02 | % 56.96/23.02 +-Applying beta-rule and splitting (1278), into two cases. % 56.96/23.02 |-Branch one: % 56.96/23.02 | (1279) all_0_48_48 = e0 % 56.96/23.02 | % 56.96/23.02 | Combining equations (1279,335) yields a new equation: % 56.96/23.02 | (330) e2 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (330) can reduce 128 to: % 56.96/23.02 | (266) $false % 56.96/23.02 | % 56.96/23.02 |-The branch is then unsatisfiable % 56.96/23.02 |-Branch two: % 56.96/23.02 | (1283) ~ (all_0_48_48 = e0) % 56.96/23.02 | (978) all_0_49_49 = e0 % 56.96/23.02 | % 56.96/23.02 | Equations (978) can reduce 340 to: % 56.96/23.02 | (365) ~ (e2 = e0) % 56.96/23.02 | % 56.96/23.02 | Simplifying 365 yields: % 56.96/23.02 | (128) ~ (e2 = e0) % 56.96/23.02 | % 56.96/23.02 | Equations (978) can reduce 1064 to: % 56.96/23.02 | (435) ~ (e1 = e0) % 56.96/23.02 | % 56.96/23.02 | Simplifying 435 yields: % 56.96/23.02 | (233) ~ (e1 = e0) % 56.96/23.02 | % 56.96/23.02 | From (978) and (129) follows: % 56.96/23.02 | (2097) op(e0, e2) = all_0_20_20 % 56.96/23.02 | % 56.96/23.02 | From (978) and (55) follows: % 56.96/23.03 | (7585) op(e2, e0) = e0 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 56.96/23.03 | (1587) all_0_4_4 = e1 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 56.96/23.03 | (2156) all_0_12_12 = e3 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 56.96/23.03 | (1595) all_0_2_2 = e3 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e0, e2, all_0_3_3, e2 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 56.96/23.03 | (1597) all_0_3_3 = e2 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e0, e2, all_0_20_20, all_0_3_3 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = all_0_20_20, yields: % 56.96/23.03 | (2164) all_0_3_3 = all_0_20_20 % 56.96/23.03 | % 56.96/23.03 | Combining equations (2164,1597) yields a new equation: % 56.96/23.03 | (9987) all_0_20_20 = e2 % 56.96/23.03 | % 56.96/23.03 | Simplifying 9987 yields: % 56.96/23.03 | (684) all_0_20_20 = e2 % 56.96/23.03 | % 56.96/23.03 | From (1587) and (1455) follows: % 56.96/23.03 | (41) op(e4, e4) = e1 % 56.96/23.03 | % 56.96/23.03 | From (2156) and (1954) follows: % 56.96/23.03 | (1639) op(e3, e0) = e3 % 56.96/23.03 | % 56.96/23.03 | From (1595) and (1412) follows: % 56.96/23.03 | (283) op(e0, e4) = e3 % 56.96/23.03 | % 56.96/23.03 | From (684) and (2097) follows: % 56.96/23.03 | (1508) op(e0, e2) = e2 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (56), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (696) unit = e2 % 56.96/23.03 | % 56.96/23.03 | From (696) and (211) follows: % 56.96/23.03 | (1612) op(e2, e1) = e1 % 56.96/23.03 | % 56.96/23.03 | From (696) and (42) follows: % 56.96/23.03 | (1613) op(e0, e2) = e0 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 56.96/23.03 | (617) e2 = e1 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 56.96/23.03 | (330) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (617,330) yields a new equation: % 56.96/23.03 | (546) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Simplifying 546 yields: % 56.96/23.03 | (431) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (431) can reduce 233 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (707) ~ (unit = e2) % 56.96/23.03 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (708), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (709) unit = e4 % 56.96/23.03 | % 56.96/23.03 | From (709) and (227) follows: % 56.96/23.03 | (710) op(e4, e4) = e4 % 56.96/23.03 | % 56.96/23.03 | From (709) and (40) follows: % 56.96/23.03 | (711) op(e3, e4) = e3 % 56.96/23.03 | % 56.96/23.03 | From (709) and (32) follows: % 56.96/23.03 | (712) op(e2, e4) = e2 % 56.96/23.03 | % 56.96/23.03 | From (709) and (42) follows: % 56.96/23.03 | (713) op(e0, e4) = e0 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 56.96/23.03 | (630) e4 = e1 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 56.96/23.03 | (662) e3 = e2 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 56.96/23.03 | (323) e4 = e2 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 56.96/23.03 | (676) e3 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (630,323) yields a new equation: % 56.96/23.03 | (617) e2 = e1 % 56.96/23.03 | % 56.96/23.03 | Combining equations (662,676) yields a new equation: % 56.96/23.03 | (391) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Simplifying 391 yields: % 56.96/23.03 | (330) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (617,330) yields a new equation: % 56.96/23.03 | (546) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Simplifying 546 yields: % 56.96/23.03 | (431) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (431) can reduce 233 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (724) ~ (unit = e4) % 56.96/23.03 | (725) unit = e3 | unit = e1 | unit = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (725), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (726) unit = e0 % 56.96/23.03 | % 56.96/23.03 | From (726) and (32) follows: % 56.96/23.03 | (727) op(e2, e0) = e2 % 56.96/23.03 | % 56.96/23.03 | From (726) and (28) follows: % 56.96/23.03 | (2698) op(e1, e0) = e1 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 56.96/23.03 | (330) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 56.96/23.03 | (617) e2 = e1 % 56.96/23.03 | % 56.96/23.03 | Combining equations (617,330) yields a new equation: % 56.96/23.03 | (546) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Simplifying 546 yields: % 56.96/23.03 | (431) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (431) can reduce 233 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (734) ~ (unit = e0) % 56.96/23.03 | (735) unit = e3 | unit = e1 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (735), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (736) unit = e1 % 56.96/23.03 | % 56.96/23.03 | Equations (736) can reduce 734 to: % 56.96/23.03 | (233) ~ (e1 = e0) % 56.96/23.03 | % 56.96/23.03 | From (736) and (244) follows: % 56.96/23.03 | (738) op(e1, e4) = e4 % 56.96/23.03 | % 56.96/23.03 | From (736) and (15) follows: % 56.96/23.03 | (515) op(e1, e2) = e2 % 56.96/23.03 | % 56.96/23.03 | From (736) and (227) follows: % 56.96/23.03 | (739) op(e4, e1) = e4 % 56.96/23.03 | % 56.96/23.03 | From (736) and (28) follows: % 56.96/23.03 | (740) op(e1, e1) = e1 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 56.96/23.03 | (425) e4 = e3 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 56.96/23.03 | (397) e4 = e0 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 56.96/23.03 | (662) e3 = e2 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 56.96/23.03 | (630) e4 = e1 % 56.96/23.03 | % 56.96/23.03 | Combining equations (630,425) yields a new equation: % 56.96/23.03 | (455) e3 = e1 % 56.96/23.03 | % 56.96/23.03 | Combining equations (397,425) yields a new equation: % 56.96/23.03 | (676) e3 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (676,662) yields a new equation: % 56.96/23.03 | (330) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (455,662) yields a new equation: % 56.96/23.03 | (617) e2 = e1 % 56.96/23.03 | % 56.96/23.03 | Combining equations (617,330) yields a new equation: % 56.96/23.03 | (546) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Simplifying 546 yields: % 56.96/23.03 | (431) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (431) can reduce 233 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (748) ~ (unit = e1) % 56.96/23.03 | (749) unit = e3 % 56.96/23.03 | % 56.96/23.03 | From (749) and (209) follows: % 56.96/23.03 | (1667) op(e3, e0) = e0 % 56.96/23.03 | % 56.96/23.03 | From (749) and (32) follows: % 56.96/23.03 | (5793) op(e2, e3) = e2 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 56.96/23.03 | (676) e3 = e0 % 56.96/23.03 | % 56.96/23.03 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 56.96/23.03 | (662) e3 = e2 % 56.96/23.03 | % 56.96/23.03 | Combining equations (676,662) yields a new equation: % 56.96/23.03 | (330) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (330) can reduce 128 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (447) ~ (all_0_40_40 = e4) % 56.96/23.03 | (485) all_0_40_40 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (485) can reduce 1401 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (484) ~ (all_0_39_39 = e0) % 56.96/23.03 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (150), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (1378) all_0_40_40 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (1378) can reduce 176 to: % 56.96/23.03 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (320), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (471) all_0_39_39 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (471) can reduce 1377 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.03 | (480) all_0_39_39 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (480) can reduce 484 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (447) ~ (all_0_40_40 = e4) % 56.96/23.03 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (326), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (471) all_0_39_39 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (471) can reduce 1377 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.03 | (1378) all_0_40_40 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (1378) can reduce 447 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.03 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (104), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (480) all_0_39_39 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (480) can reduce 176 to: % 56.96/23.03 | (1400) ~ (all_0_40_40 = e0) % 56.96/23.03 | % 56.96/23.03 | Simplifying 1400 yields: % 56.96/23.03 | (1401) ~ (all_0_40_40 = e0) % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (75), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (485) all_0_40_40 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (485) can reduce 1401 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (1401) ~ (all_0_40_40 = e0) % 56.96/23.03 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (150), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (1378) all_0_40_40 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (1378) can reduce 2 to: % 56.96/23.03 | (188) ~ (e4 = e3) % 56.96/23.03 | % 56.96/23.03 | Equations (1378) can reduce 132 to: % 56.96/23.03 | (110) ~ (e4 = e1) % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (441), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (1392) all_0_42_42 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (1392) can reduce 1890 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.03 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (1891), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (396) all_0_43_43 = e4 % 56.96/23.03 | % 56.96/23.03 | Combining equations (430,396) yields a new equation: % 56.96/23.03 | (630) e4 = e1 % 56.96/23.03 | % 56.96/23.03 | Equations (630) can reduce 110 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (399) ~ (all_0_43_43 = e4) % 56.96/23.03 | (446) all_0_44_44 = e4 % 56.96/23.03 | % 56.96/23.03 | Combining equations (532,446) yields a new equation: % 56.96/23.03 | (425) e4 = e3 % 56.96/23.03 | % 56.96/23.03 | Equations (425) can reduce 188 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (447) ~ (all_0_40_40 = e4) % 56.96/23.03 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (316), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (1378) all_0_40_40 = e4 % 56.96/23.03 | % 56.96/23.03 | Equations (1378) can reduce 447 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (447) ~ (all_0_40_40 = e4) % 56.96/23.03 | (485) all_0_40_40 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (485) can reduce 1401 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (484) ~ (all_0_39_39 = e0) % 56.96/23.03 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (333), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (480) all_0_39_39 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (480) can reduce 484 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (484) ~ (all_0_39_39 = e0) % 56.96/23.03 | (485) all_0_40_40 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (485) can reduce 200 to: % 56.96/23.03 | (486) ~ (all_0_49_49 = e0) % 56.96/23.03 | % 56.96/23.03 | Simplifying 486 yields: % 56.96/23.03 | (487) ~ (all_0_49_49 = e0) % 56.96/23.03 | % 56.96/23.03 | Equations (485) can reduce 296 to: % 56.96/23.03 | (365) ~ (e2 = e0) % 56.96/23.03 | % 56.96/23.03 | Simplifying 365 yields: % 56.96/23.03 | (128) ~ (e2 = e0) % 56.96/23.03 | % 56.96/23.03 | Equations (485) can reduce 132 to: % 56.96/23.03 | (435) ~ (e1 = e0) % 56.96/23.03 | % 56.96/23.03 | Simplifying 435 yields: % 56.96/23.03 | (233) ~ (e1 = e0) % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (832), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (674) all_0_47_47 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (654,674) yields a new equation: % 56.96/23.03 | (546) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Simplifying 546 yields: % 56.96/23.03 | (431) e1 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (431) can reduce 233 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (678) ~ (all_0_47_47 = e0) % 56.96/23.03 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.03 | % 56.96/23.03 +-Applying beta-rule and splitting (1278), into two cases. % 56.96/23.03 |-Branch one: % 56.96/23.03 | (1279) all_0_48_48 = e0 % 56.96/23.03 | % 56.96/23.03 | Combining equations (1279,335) yields a new equation: % 56.96/23.03 | (330) e2 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (330) can reduce 128 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.03 |-Branch two: % 56.96/23.03 | (1283) ~ (all_0_48_48 = e0) % 56.96/23.03 | (978) all_0_49_49 = e0 % 56.96/23.03 | % 56.96/23.03 | Equations (978) can reduce 487 to: % 56.96/23.03 | (266) $false % 56.96/23.03 | % 56.96/23.03 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (409) ~ (all_0_46_46 = e3) % 56.96/23.04 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (4042), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (415) all_0_50_50 = e3 % 56.96/23.04 | % 56.96/23.04 | Combining equations (601,415) yields a new equation: % 56.96/23.04 | (455) e3 = e1 % 56.96/23.04 | % 56.96/23.04 | Equations (455) can reduce 213 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (411) ~ (all_0_50_50 = e3) % 56.96/23.04 | (2336) all_0_55_55 = e3 % 56.96/23.04 | % 56.96/23.04 | Combining equations (2336,587) yields a new equation: % 56.96/23.04 | (425) e4 = e3 % 56.96/23.04 | % 56.96/23.04 | Equations (425) can reduce 188 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (462) ~ (all_0_47_47 = e1) % 56.96/23.04 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (659), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (615) all_0_48_48 = e1 % 56.96/23.04 | % 56.96/23.04 | Combining equations (335,615) yields a new equation: % 56.96/23.04 | (616) e2 = e1 % 56.96/23.04 | % 56.96/23.04 | Simplifying 616 yields: % 56.96/23.04 | (617) e2 = e1 % 56.96/23.04 | % 56.96/23.04 | Equations (617) can reduce 122 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (619) ~ (all_0_48_48 = e1) % 56.96/23.04 | (671) all_0_49_49 = e1 % 56.96/23.04 | % 56.96/23.04 | Equations (671) can reduce 1064 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (880) ~ (all_0_58_58 = e1) % 56.96/23.04 | (795) all_0_58_58 = e3 % 56.96/23.04 | % 56.96/23.04 | Equations (795) can reduce 276 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (763) ~ (all_0_55_55 = e4) % 56.96/23.04 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (2055), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (858) all_0_55_55 = e0 % 56.96/23.04 | % 56.96/23.04 | Equations (858) can reduce 803 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (803) ~ (all_0_55_55 = e0) % 56.96/23.04 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (2315), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (629) all_0_55_55 = e1 % 56.96/23.04 | % 56.96/23.04 | Equations (629) can reduce 632 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (632) ~ (all_0_55_55 = e1) % 56.96/23.04 | (2336) all_0_55_55 = e3 % 56.96/23.04 | % 56.96/23.04 | Equations (2336) can reduce 270 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (759) ~ (all_0_50_50 = e1) % 56.96/23.04 | (415) all_0_50_50 = e3 % 56.96/23.04 | % 56.96/23.04 | Equations (415) can reduce 411 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (780) ~ (all_0_52_52 = e4) % 56.96/23.04 | (642) all_0_52_52 = e1 % 56.96/23.04 | % 56.96/23.04 | Equations (642) can reduce 646 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (810) ~ (all_0_48_48 = e2) % 56.96/23.04 | (10167) all_0_52_52 = e2 | all_0_57_57 = e2 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (53), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (1794) all_0_46_46 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (1794) can reduce 300 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (300) ~ (all_0_46_46 = e2) % 56.96/23.04 | (10171) all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (109), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (352) all_0_52_52 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 217 to: % 56.96/23.04 | (96) ~ (all_0_43_43 = e2) % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 202 to: % 56.96/23.04 | (810) ~ (all_0_48_48 = e2) % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 101 to: % 56.96/23.04 | (302) ~ (all_0_50_50 = e2) % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 20 to: % 56.96/23.04 | (1099) ~ (all_0_51_51 = e2) % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 46 to: % 56.96/23.04 | (508) ~ (all_0_53_53 = e2) % 56.96/23.04 | % 56.96/23.04 | Simplifying 508 yields: % 56.96/23.04 | (509) ~ (all_0_53_53 = e2) % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 11 to: % 56.96/23.04 | (343) ~ (all_0_57_57 = e2) % 56.96/23.04 | % 56.96/23.04 | Simplifying 343 yields: % 56.96/23.04 | (344) ~ (all_0_57_57 = e2) % 56.96/23.04 | % 56.96/23.04 | Equations (352) can reduce 72 to: % 56.96/23.04 | (128) ~ (e2 = e0) % 56.96/23.04 | % 56.96/23.04 | From (352) and (124) follows: % 56.96/23.04 | (10182) op(e1, e1) = e2 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (158), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (313) all_0_40_40 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (313) can reduce 296 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (296) ~ (all_0_40_40 = e2) % 56.96/23.04 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (47), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (317) all_0_39_39 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (317) can reduce 294 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (294) ~ (all_0_39_39 = e2) % 56.96/23.04 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (222), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (386) all_0_55_55 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (386) can reduce 304 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (304) ~ (all_0_55_55 = e2) % 56.96/23.04 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (4), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (356) all_0_43_43 = e0 % 56.96/23.04 | % 56.96/23.04 | Equations (356) can reduce 31 to: % 56.96/23.04 | (357) ~ (all_0_41_41 = e0) % 56.96/23.04 | % 56.96/23.04 | Equations (356) can reduce 240 to: % 56.96/23.04 | (358) ~ (all_0_42_42 = e0) % 56.96/23.04 | % 56.96/23.04 | Equations (356) can reduce 159 to: % 56.96/23.04 | (359) ~ (all_0_44_44 = e0) % 56.96/23.04 | % 56.96/23.04 | Simplifying 359 yields: % 56.96/23.04 | (360) ~ (all_0_44_44 = e0) % 56.96/23.04 | % 56.96/23.04 | Equations (356) can reduce 17 to: % 56.96/23.04 | (10200) ~ (all_0_48_48 = e0) % 56.96/23.04 | % 56.96/23.04 | Simplifying 10200 yields: % 56.96/23.04 | (1283) ~ (all_0_48_48 = e0) % 56.96/23.04 | % 56.96/23.04 | Equations (356) can reduce 99 to: % 56.96/23.04 | (541) ~ (e3 = e0) % 56.96/23.04 | % 56.96/23.04 | Simplifying 541 yields: % 56.96/23.04 | (80) ~ (e3 = e0) % 56.96/23.04 | % 56.96/23.04 | Equations (356) can reduce 96 to: % 56.96/23.04 | (365) ~ (e2 = e0) % 56.96/23.04 | % 56.96/23.04 | Simplifying 365 yields: % 56.96/23.04 | (128) ~ (e2 = e0) % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (230), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (396) all_0_43_43 = e4 % 56.96/23.04 | % 56.96/23.04 | Combining equations (356,396) yields a new equation: % 56.96/23.04 | (397) e4 = e0 % 56.96/23.04 | % 56.96/23.04 | Equations (397) can reduce 49 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (399) ~ (all_0_43_43 = e4) % 56.96/23.04 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (400), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (943) all_0_48_48 = e4 % 56.96/23.04 | % 56.96/23.04 | Equations (943) can reduce 254 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (254) ~ (all_0_48_48 = e4) % 56.96/23.04 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (228), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (335) all_0_48_48 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (335) can reduce 810 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (810) ~ (all_0_48_48 = e2) % 56.96/23.04 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (10218), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (943) all_0_48_48 = e4 % 56.96/23.04 | % 56.96/23.04 | Equations (943) can reduce 254 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (254) ~ (all_0_48_48 = e4) % 56.96/23.04 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (947), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (565) all_0_52_52 = e4 % 56.96/23.04 | % 56.96/23.04 | Combining equations (565,352) yields a new equation: % 56.96/23.04 | (322) e4 = e2 % 56.96/23.04 | % 56.96/23.04 | Simplifying 322 yields: % 56.96/23.04 | (323) e4 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (323) can reduce 48 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (780) ~ (all_0_52_52 = e4) % 56.96/23.04 | (871) all_0_57_57 = e4 % 56.96/23.04 | % 56.96/23.04 | Equations (871) can reduce 239 to: % 56.96/23.04 | (254) ~ (all_0_48_48 = e4) % 56.96/23.04 | % 56.96/23.04 | Equations (871) can reduce 81 to: % 56.96/23.04 | (763) ~ (all_0_55_55 = e4) % 56.96/23.04 | % 56.96/23.04 | Equations (871) can reduce 140 to: % 56.96/23.04 | (477) ~ (all_0_56_56 = e4) % 56.96/23.04 | % 56.96/23.04 | Equations (871) can reduce 67 to: % 56.96/23.04 | (188) ~ (e4 = e3) % 56.96/23.04 | % 56.96/23.04 | Equations (871) can reduce 344 to: % 56.96/23.04 | (48) ~ (e4 = e2) % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (10222), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (1279) all_0_48_48 = e0 % 56.96/23.04 | % 56.96/23.04 | Equations (1279) can reduce 1283 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (1283) ~ (all_0_48_48 = e0) % 56.96/23.04 | (615) all_0_48_48 = e1 % 56.96/23.04 | % 56.96/23.04 | Equations (615) can reduce 30 to: % 56.96/23.04 | (549) ~ (all_0_46_46 = e1) % 56.96/23.04 | % 56.96/23.04 | Equations (615) can reduce 114 to: % 56.96/23.04 | (462) ~ (all_0_47_47 = e1) % 56.96/23.04 | % 56.96/23.04 | Equations (615) can reduce 185 to: % 56.96/23.04 | (1419) ~ (all_0_49_49 = e1) % 56.96/23.04 | % 56.96/23.04 | Simplifying 1419 yields: % 56.96/23.04 | (1064) ~ (all_0_49_49 = e1) % 56.96/23.04 | % 56.96/23.04 | Equations (615) can reduce 254 to: % 56.96/23.04 | (602) ~ (e4 = e1) % 56.96/23.04 | % 56.96/23.04 | Simplifying 602 yields: % 56.96/23.04 | (110) ~ (e4 = e1) % 56.96/23.04 | % 56.96/23.04 | Equations (615) can reduce 215 to: % 56.96/23.04 | (467) ~ (e3 = e1) % 56.96/23.04 | % 56.96/23.04 | Simplifying 467 yields: % 56.96/23.04 | (213) ~ (e3 = e1) % 56.96/23.04 | % 56.96/23.04 | Equations (615) can reduce 1283 to: % 56.96/23.04 | (233) ~ (e1 = e0) % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (243), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (329) all_0_38_38 = e0 % 56.96/23.04 | % 56.96/23.04 | Combining equations (292,329) yields a new equation: % 56.96/23.04 | (391) e2 = e0 % 56.96/23.04 | % 56.96/23.04 | Simplifying 391 yields: % 56.96/23.04 | (330) e2 = e0 % 56.96/23.04 | % 56.96/23.04 | Equations (330) can reduce 128 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (332) ~ (all_0_38_38 = e0) % 56.96/23.04 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (113), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (403) all_0_41_41 = e3 % 56.96/23.04 | % 56.96/23.04 | Equations (403) can reduce 43 to: % 56.96/23.04 | (408) ~ (all_0_46_46 = e3) % 56.96/23.04 | % 56.96/23.04 | Simplifying 408 yields: % 56.96/23.04 | (409) ~ (all_0_46_46 = e3) % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (123), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (1794) all_0_46_46 = e2 % 56.96/23.04 | % 56.96/23.04 | Equations (1794) can reduce 300 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (300) ~ (all_0_46_46 = e2) % 56.96/23.04 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (1797), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (770) all_0_46_46 = e4 % 56.96/23.04 | % 56.96/23.04 | Equations (770) can reduce 250 to: % 56.96/23.04 | (266) $false % 56.96/23.04 | % 56.96/23.04 |-The branch is then unsatisfiable % 56.96/23.04 |-Branch two: % 56.96/23.04 | (250) ~ (all_0_46_46 = e4) % 56.96/23.04 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 56.96/23.04 | % 56.96/23.04 +-Applying beta-rule and splitting (1801), into two cases. % 56.96/23.04 |-Branch one: % 56.96/23.04 | (538) all_0_46_46 = e0 % 56.96/23.04 | % 56.96/23.04 | Equations (538) can reduce 19 to: % 56.96/23.04 | (1402) ~ (all_0_47_47 = e0) % 56.96/23.04 | % 56.96/23.04 | Simplifying 1402 yields: % 56.96/23.04 | (678) ~ (all_0_47_47 = e0) % 56.96/23.04 | % 56.96/23.04 | Equations (538) can reduce 409 to: % 56.96/23.05 | (541) ~ (e3 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 541 yields: % 56.96/23.05 | (80) ~ (e3 = e0) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (163), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (565) all_0_52_52 = e4 % 56.96/23.05 | % 56.96/23.05 | Combining equations (352,565) yields a new equation: % 56.96/23.05 | (323) e4 = e2 % 56.96/23.05 | % 56.96/23.05 | Equations (323) can reduce 48 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (780) ~ (all_0_52_52 = e4) % 56.96/23.05 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (781), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (789), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (790), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (791), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (792), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (793) yields: % 56.96/23.05 | (794) all_0_41_41 = e0 % 56.96/23.05 | (795) all_0_58_58 = e3 % 56.96/23.05 | (407) ~ (all_0_44_44 = e3) % 56.96/23.05 | % 56.96/23.05 | Combining equations (403,794) yields a new equation: % 56.96/23.05 | (675) e3 = e0 % 56.96/23.05 | % 56.96/23.05 | Simplifying 675 yields: % 56.96/23.05 | (676) e3 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (676) can reduce 80 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (800) yields: % 56.96/23.05 | (794) all_0_41_41 = e0 % 56.96/23.05 | (795) all_0_58_58 = e3 % 56.96/23.05 | (803) ~ (all_0_55_55 = e0) % 56.96/23.05 | % 56.96/23.05 | Combining equations (403,794) yields a new equation: % 56.96/23.05 | (675) e3 = e0 % 56.96/23.05 | % 56.96/23.05 | Simplifying 675 yields: % 56.96/23.05 | (676) e3 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (676) can reduce 80 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (807) yields: % 56.96/23.05 | (654) all_0_47_47 = e1 % 56.96/23.05 | (352) all_0_52_52 = e2 % 56.96/23.05 | (810) ~ (all_0_48_48 = e2) % 56.96/23.05 | % 56.96/23.05 | Equations (654) can reduce 462 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (813) yields: % 56.96/23.05 | (654) all_0_47_47 = e1 % 56.96/23.05 | (352) all_0_52_52 = e2 % 56.96/23.05 | (464) ~ (all_0_51_51 = e1) % 56.96/23.05 | % 56.96/23.05 | Equations (654) can reduce 462 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (819) yields: % 56.96/23.05 | (674) all_0_47_47 = e0 % 56.96/23.05 | (624) all_0_58_58 = e2 % 56.96/23.05 | (340) ~ (all_0_49_49 = e2) % 56.96/23.05 | % 56.96/23.05 | Equations (674) can reduce 678 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (825) yields: % 56.96/23.05 | (674) all_0_47_47 = e0 % 56.96/23.05 | (624) all_0_58_58 = e2 % 56.96/23.05 | (828) ~ (all_0_56_56 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (674) can reduce 678 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (831) ~ (all_0_46_46 = e0) % 56.96/23.05 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (1838), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (545) all_0_46_46 = e1 % 56.96/23.05 | % 56.96/23.05 | Equations (545) can reduce 549 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (549) ~ (all_0_46_46 = e1) % 56.96/23.05 | (1557) all_0_46_46 = e3 % 56.96/23.05 | % 56.96/23.05 | Equations (1557) can reduce 409 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (1898) ~ (all_0_41_41 = e3) % 56.96/23.05 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (144), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (403) all_0_41_41 = e3 % 56.96/23.05 | % 56.96/23.05 | Equations (403) can reduce 1898 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (1898) ~ (all_0_41_41 = e3) % 56.96/23.05 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (168), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (415) all_0_50_50 = e3 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (62), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (321) all_0_38_38 = e4 % 56.96/23.05 | % 56.96/23.05 | Combining equations (292,321) yields a new equation: % 56.96/23.05 | (323) e4 = e2 % 56.96/23.05 | % 56.96/23.05 | Equations (323) can reduce 48 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (325) ~ (all_0_38_38 = e4) % 56.96/23.05 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (582), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (437) all_0_41_41 = e4 % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 43 to: % 56.96/23.05 | (249) ~ (all_0_46_46 = e4) % 56.96/23.05 | % 56.96/23.05 | Simplifying 249 yields: % 56.96/23.05 | (250) ~ (all_0_46_46 = e4) % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 85 to: % 56.96/23.05 | (48) ~ (e4 = e2) % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 357 to: % 56.96/23.05 | (49) ~ (e4 = e0) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (18), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (453) all_0_41_41 = e1 % 56.96/23.05 | % 56.96/23.05 | Combining equations (437,453) yields a new equation: % 56.96/23.05 | (636) e4 = e1 % 56.96/23.05 | % 56.96/23.05 | Simplifying 636 yields: % 56.96/23.05 | (630) e4 = e1 % 56.96/23.05 | % 56.96/23.05 | Equations (630) can reduce 110 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (457) ~ (all_0_41_41 = e1) % 56.96/23.05 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (595), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (545) all_0_46_46 = e1 % 56.96/23.05 | % 56.96/23.05 | Equations (545) can reduce 549 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (549) ~ (all_0_46_46 = e1) % 56.96/23.05 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (600), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (601) all_0_50_50 = e1 % 56.96/23.05 | % 56.96/23.05 | Combining equations (601,415) yields a new equation: % 56.96/23.05 | (455) e3 = e1 % 56.96/23.05 | % 56.96/23.05 | Equations (455) can reduce 213 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (759) ~ (all_0_50_50 = e1) % 56.96/23.05 | (629) all_0_55_55 = e1 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (395), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (794) all_0_41_41 = e0 % 56.96/23.05 | % 56.96/23.05 | Combining equations (437,794) yields a new equation: % 56.96/23.05 | (481) e4 = e0 % 56.96/23.05 | % 56.96/23.05 | Simplifying 481 yields: % 56.96/23.05 | (397) e4 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (397) can reduce 49 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (357) ~ (all_0_41_41 = e0) % 56.96/23.05 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (895), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (538) all_0_46_46 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (538) can reduce 19 to: % 56.96/23.05 | (1402) ~ (all_0_47_47 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 1402 yields: % 56.96/23.05 | (678) ~ (all_0_47_47 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (538) can reduce 250 to: % 56.96/23.05 | (401) ~ (e4 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 401 yields: % 56.96/23.05 | (49) ~ (e4 = e0) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (163), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (565) all_0_52_52 = e4 % 56.96/23.05 | % 56.96/23.05 | Combining equations (565,352) yields a new equation: % 56.96/23.05 | (322) e4 = e2 % 56.96/23.05 | % 56.96/23.05 | Simplifying 322 yields: % 56.96/23.05 | (323) e4 = e2 % 56.96/23.05 | % 56.96/23.05 | Equations (323) can reduce 48 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (780) ~ (all_0_52_52 = e4) % 56.96/23.05 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (781), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (789), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (790), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (791), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (792), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (793) yields: % 56.96/23.05 | (794) all_0_41_41 = e0 % 56.96/23.05 | (795) all_0_58_58 = e3 % 56.96/23.05 | (407) ~ (all_0_44_44 = e3) % 56.96/23.05 | % 56.96/23.05 | Combining equations (437,794) yields a new equation: % 56.96/23.05 | (481) e4 = e0 % 56.96/23.05 | % 56.96/23.05 | Simplifying 481 yields: % 56.96/23.05 | (397) e4 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (397) can reduce 49 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (800) yields: % 56.96/23.05 | (794) all_0_41_41 = e0 % 56.96/23.05 | (795) all_0_58_58 = e3 % 56.96/23.05 | (803) ~ (all_0_55_55 = e0) % 56.96/23.05 | % 56.96/23.05 | Combining equations (437,794) yields a new equation: % 56.96/23.05 | (481) e4 = e0 % 56.96/23.05 | % 56.96/23.05 | Simplifying 481 yields: % 56.96/23.05 | (397) e4 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (397) can reduce 49 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (807) yields: % 56.96/23.05 | (654) all_0_47_47 = e1 % 56.96/23.05 | (352) all_0_52_52 = e2 % 56.96/23.05 | (810) ~ (all_0_48_48 = e2) % 56.96/23.05 | % 56.96/23.05 | Equations (654) can reduce 462 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (813) yields: % 56.96/23.05 | (654) all_0_47_47 = e1 % 56.96/23.05 | (352) all_0_52_52 = e2 % 56.96/23.05 | (464) ~ (all_0_51_51 = e1) % 56.96/23.05 | % 56.96/23.05 | Equations (654) can reduce 462 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (819) yields: % 56.96/23.05 | (674) all_0_47_47 = e0 % 56.96/23.05 | (624) all_0_58_58 = e2 % 56.96/23.05 | (340) ~ (all_0_49_49 = e2) % 56.96/23.05 | % 56.96/23.05 | Equations (674) can reduce 678 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 56.96/23.05 | % 56.96/23.05 | Applying alpha-rule on (825) yields: % 56.96/23.05 | (674) all_0_47_47 = e0 % 56.96/23.05 | (624) all_0_58_58 = e2 % 56.96/23.05 | (828) ~ (all_0_56_56 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (674) can reduce 678 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (831) ~ (all_0_46_46 = e0) % 56.96/23.05 | (858) all_0_55_55 = e0 % 56.96/23.05 | % 56.96/23.05 | Combining equations (858,629) yields a new equation: % 56.96/23.05 | (431) e1 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (431) can reduce 233 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (440) ~ (all_0_41_41 = e4) % 56.96/23.05 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (769), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (770) all_0_46_46 = e4 % 56.96/23.05 | % 56.96/23.05 | Equations (770) can reduce 250 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (250) ~ (all_0_46_46 = e4) % 56.96/23.05 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (774), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (775) all_0_50_50 = e4 % 56.96/23.05 | % 56.96/23.05 | Combining equations (415,775) yields a new equation: % 56.96/23.05 | (425) e4 = e3 % 56.96/23.05 | % 56.96/23.05 | Equations (425) can reduce 188 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (566) ~ (all_0_50_50 = e4) % 56.96/23.05 | (587) all_0_55_55 = e4 % 56.96/23.05 | % 56.96/23.05 | Equations (587) can reduce 763 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (411) ~ (all_0_50_50 = e3) % 56.96/23.05 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (1923), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (1557) all_0_46_46 = e3 % 56.96/23.05 | % 56.96/23.05 | Equations (1557) can reduce 43 to: % 56.96/23.05 | (1898) ~ (all_0_41_41 = e3) % 56.96/23.05 | % 56.96/23.05 | Equations (1557) can reduce 35 to: % 56.96/23.05 | (410) ~ (all_0_50_50 = e3) % 56.96/23.05 | % 56.96/23.05 | Simplifying 410 yields: % 56.96/23.05 | (411) ~ (all_0_50_50 = e3) % 56.96/23.05 | % 56.96/23.05 | Equations (1557) can reduce 58 to: % 56.96/23.05 | (269) ~ (all_0_55_55 = e3) % 56.96/23.05 | % 56.96/23.05 | Simplifying 269 yields: % 56.96/23.05 | (270) ~ (all_0_55_55 = e3) % 56.96/23.05 | % 56.96/23.05 | Equations (1557) can reduce 250 to: % 56.96/23.05 | (277) ~ (e4 = e3) % 56.96/23.05 | % 56.96/23.05 | Simplifying 277 yields: % 56.96/23.05 | (188) ~ (e4 = e3) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (395), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (794) all_0_41_41 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (794) can reduce 357 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (357) ~ (all_0_41_41 = e0) % 56.96/23.05 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (895), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (538) all_0_46_46 = e0 % 56.96/23.05 | % 56.96/23.05 | Combining equations (1557,538) yields a new equation: % 56.96/23.05 | (675) e3 = e0 % 56.96/23.05 | % 56.96/23.05 | Simplifying 675 yields: % 56.96/23.05 | (676) e3 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (676) can reduce 80 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (831) ~ (all_0_46_46 = e0) % 56.96/23.05 | (858) all_0_55_55 = e0 % 56.96/23.05 | % 56.96/23.05 | Equations (858) can reduce 191 to: % 56.96/23.05 | (357) ~ (all_0_41_41 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (858) can reduce 93 to: % 56.96/23.05 | (121) ~ (all_0_50_50 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (858) can reduce 153 to: % 56.96/23.05 | (1181) ~ (all_0_56_56 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 1181 yields: % 56.96/23.05 | (828) ~ (all_0_56_56 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (858) can reduce 3 to: % 56.96/23.05 | (490) ~ (all_0_58_58 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 490 yields: % 56.96/23.05 | (491) ~ (all_0_58_58 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (858) can reduce 763 to: % 56.96/23.05 | (401) ~ (e4 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 401 yields: % 56.96/23.05 | (49) ~ (e4 = e0) % 56.96/23.05 | % 56.96/23.05 | Equations (858) can reduce 270 to: % 56.96/23.05 | (541) ~ (e3 = e0) % 56.96/23.05 | % 56.96/23.05 | Simplifying 541 yields: % 56.96/23.05 | (80) ~ (e3 = e0) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (27), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (437) all_0_41_41 = e4 % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 214 to: % 56.96/23.05 | (1901) ~ (all_0_42_42 = e4) % 56.96/23.05 | % 56.96/23.05 | Simplifying 1901 yields: % 56.96/23.05 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 149 to: % 56.96/23.05 | (1903) ~ (all_0_44_44 = e4) % 56.96/23.05 | % 56.96/23.05 | Simplifying 1903 yields: % 56.96/23.05 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 221 to: % 56.96/23.05 | (1907) ~ (all_0_50_50 = e4) % 56.96/23.05 | % 56.96/23.05 | Simplifying 1907 yields: % 56.96/23.05 | (566) ~ (all_0_50_50 = e4) % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 85 to: % 56.96/23.05 | (48) ~ (e4 = e2) % 56.96/23.05 | % 56.96/23.05 | Equations (437) can reduce 357 to: % 56.96/23.05 | (49) ~ (e4 = e0) % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (241), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (378) all_0_50_50 = e2 % 56.96/23.05 | % 56.96/23.05 | Equations (378) can reduce 302 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.05 |-The branch is then unsatisfiable % 56.96/23.05 |-Branch two: % 56.96/23.05 | (302) ~ (all_0_50_50 = e2) % 56.96/23.05 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 56.96/23.05 | % 56.96/23.05 +-Applying beta-rule and splitting (422), into two cases. % 56.96/23.05 |-Branch one: % 56.96/23.05 | (775) all_0_50_50 = e4 % 56.96/23.05 | % 56.96/23.05 | Equations (775) can reduce 566 to: % 56.96/23.05 | (266) $false % 56.96/23.05 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (566) ~ (all_0_50_50 = e4) % 56.96/23.06 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (1444), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (601) all_0_50_50 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (601) can reduce 59 to: % 56.96/23.06 | (463) ~ (all_0_51_51 = e1) % 56.96/23.06 | % 56.96/23.06 | Simplifying 463 yields: % 56.96/23.06 | (464) ~ (all_0_51_51 = e1) % 56.96/23.06 | % 56.96/23.06 | Equations (601) can reduce 190 to: % 56.96/23.06 | (1458) ~ (all_0_53_53 = e1) % 56.96/23.06 | % 56.96/23.06 | Simplifying 1458 yields: % 56.96/23.06 | (1459) ~ (all_0_53_53 = e1) % 56.96/23.06 | % 56.96/23.06 | Equations (601) can reduce 566 to: % 56.96/23.06 | (602) ~ (e4 = e1) % 56.96/23.06 | % 56.96/23.06 | Simplifying 602 yields: % 56.96/23.06 | (110) ~ (e4 = e1) % 56.96/23.06 | % 56.96/23.06 | Equations (601) can reduce 302 to: % 56.96/23.06 | (604) ~ (e2 = e1) % 56.96/23.06 | % 56.96/23.06 | Simplifying 604 yields: % 56.96/23.06 | (122) ~ (e2 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (152), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1392) all_0_42_42 = e4 % 56.96/23.06 | % 56.96/23.06 | Equations (1392) can reduce 1890 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.06 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (184), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (538) all_0_46_46 = e0 % 56.96/23.06 | % 56.96/23.06 | Combining equations (1557,538) yields a new equation: % 56.96/23.06 | (675) e3 = e0 % 56.96/23.06 | % 56.96/23.06 | Simplifying 675 yields: % 56.96/23.06 | (676) e3 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (676) can reduce 80 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (831) ~ (all_0_46_46 = e0) % 56.96/23.06 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (180), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (516) all_0_42_42 = e3 % 56.96/23.06 | % 56.96/23.06 | Equations (516) can reduce 145 to: % 56.96/23.06 | (246) ~ (all_0_39_39 = e3) % 56.96/23.06 | % 56.96/23.06 | Equations (516) can reduce 198 to: % 56.96/23.06 | (2538) ~ (all_0_47_47 = e3) % 56.96/23.06 | % 56.96/23.06 | Simplifying 2538 yields: % 56.96/23.06 | (1091) ~ (all_0_47_47 = e3) % 56.96/23.06 | % 56.96/23.06 | Equations (516) can reduce 61 to: % 56.96/23.06 | (1925) ~ (all_0_51_51 = e3) % 56.96/23.06 | % 56.96/23.06 | Simplifying 1925 yields: % 56.96/23.06 | (664) ~ (all_0_51_51 = e3) % 56.96/23.06 | % 56.96/23.06 | Equations (516) can reduce 236 to: % 56.96/23.06 | (271) ~ (all_0_56_56 = e3) % 56.96/23.06 | % 56.96/23.06 | Simplifying 271 yields: % 56.96/23.06 | (272) ~ (all_0_56_56 = e3) % 56.96/23.06 | % 56.96/23.06 | Equations (516) can reduce 1890 to: % 56.96/23.06 | (277) ~ (e4 = e3) % 56.96/23.06 | % 56.96/23.06 | Simplifying 277 yields: % 56.96/23.06 | (188) ~ (e4 = e3) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (103), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (453) all_0_41_41 = e1 % 56.96/23.06 | % 56.96/23.06 | Combining equations (453,437) yields a new equation: % 56.96/23.06 | (630) e4 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (630) can reduce 110 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (457) ~ (all_0_41_41 = e1) % 56.96/23.06 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (437) can reduce 457 to: % 56.96/23.06 | (110) ~ (e4 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (418), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (660) all_0_51_51 = e3 % 56.96/23.06 | % 56.96/23.06 | Equations (660) can reduce 664 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (664) ~ (all_0_51_51 = e3) % 56.96/23.06 | (665) all_0_53_53 = e3 % 56.96/23.06 | % 56.96/23.06 | Equations (665) can reduce 162 to: % 56.96/23.06 | (2) ~ (all_0_40_40 = e3) % 56.96/23.06 | % 56.96/23.06 | Equations (665) can reduce 1459 to: % 56.96/23.06 | (213) ~ (e3 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (26), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (446) all_0_44_44 = e4 % 56.96/23.06 | % 56.96/23.06 | Equations (446) can reduce 1390 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.06 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (231), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (775) all_0_50_50 = e4 % 56.96/23.06 | % 56.96/23.06 | Combining equations (601,775) yields a new equation: % 56.96/23.06 | (630) e4 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (630) can reduce 110 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (566) ~ (all_0_50_50 = e4) % 56.96/23.06 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (131), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (459) all_0_42_42 = e1 % 56.96/23.06 | % 56.96/23.06 | Combining equations (459,516) yields a new equation: % 56.96/23.06 | (455) e3 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (455) can reduce 213 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (1380) ~ (all_0_42_42 = e1) % 56.96/23.06 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (516) can reduce 1380 to: % 56.96/23.06 | (213) ~ (e3 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (1071), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1101) all_0_51_51 = e4 % 56.96/23.06 | % 56.96/23.06 | Equations (1101) can reduce 139 to: % 56.96/23.06 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.06 | % 56.96/23.06 | Equations (1101) can reduce 115 to: % 56.96/23.06 | (49) ~ (e4 = e0) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (150), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1378) all_0_40_40 = e4 % 56.96/23.06 | % 56.96/23.06 | Equations (1378) can reduce 200 to: % 56.96/23.06 | (255) ~ (all_0_49_49 = e4) % 56.96/23.06 | % 56.96/23.06 | Simplifying 255 yields: % 56.96/23.06 | (256) ~ (all_0_49_49 = e4) % 56.96/23.06 | % 56.96/23.06 | Equations (1378) can reduce 296 to: % 56.96/23.06 | (48) ~ (e4 = e2) % 56.96/23.06 | % 56.96/23.06 | Equations (1378) can reduce 132 to: % 56.96/23.06 | (110) ~ (e4 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (333), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (480) all_0_39_39 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (480) can reduce 79 to: % 56.96/23.06 | (1402) ~ (all_0_47_47 = e0) % 56.96/23.06 | % 56.96/23.06 | Simplifying 1402 yields: % 56.96/23.06 | (678) ~ (all_0_47_47 = e0) % 56.96/23.06 | % 56.96/23.06 | Equations (480) can reduce 151 to: % 56.96/23.06 | (435) ~ (e1 = e0) % 56.96/23.06 | % 56.96/23.06 | Simplifying 435 yields: % 56.96/23.06 | (233) ~ (e1 = e0) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (3259), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (654) all_0_47_47 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (654) can reduce 462 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (462) ~ (all_0_47_47 = e1) % 56.96/23.06 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (832), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (674) all_0_47_47 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (674) can reduce 678 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (678) ~ (all_0_47_47 = e0) % 56.96/23.06 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (163), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (565) all_0_52_52 = e4 % 56.96/23.06 | % 56.96/23.06 | Combining equations (352,565) yields a new equation: % 56.96/23.06 | (323) e4 = e2 % 56.96/23.06 | % 56.96/23.06 | Equations (323) can reduce 48 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (780) ~ (all_0_52_52 = e4) % 56.96/23.06 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (1278), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1279) all_0_48_48 = e0 % 56.96/23.06 | % 56.96/23.06 | Combining equations (615,1279) yields a new equation: % 56.96/23.06 | (546) e1 = e0 % 56.96/23.06 | % 56.96/23.06 | Simplifying 546 yields: % 56.96/23.06 | (431) e1 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (431) can reduce 233 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (1283) ~ (all_0_48_48 = e0) % 56.96/23.06 | (978) all_0_49_49 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (978) can reduce 86 to: % 56.96/23.06 | (678) ~ (all_0_47_47 = e0) % 56.96/23.06 | % 56.96/23.06 | Equations (978) can reduce 256 to: % 56.96/23.06 | (401) ~ (e4 = e0) % 56.96/23.06 | % 56.96/23.06 | Simplifying 401 yields: % 56.96/23.06 | (49) ~ (e4 = e0) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (3264), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1109) all_0_51_51 = e1 % 56.96/23.06 | % 56.96/23.06 | Combining equations (1101,1109) yields a new equation: % 56.96/23.06 | (636) e4 = e1 % 56.96/23.06 | % 56.96/23.06 | Simplifying 636 yields: % 56.96/23.06 | (630) e4 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (630) can reduce 110 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (464) ~ (all_0_51_51 = e1) % 56.96/23.06 | (1569) all_0_56_56 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (1569) can reduce 91 to: % 56.96/23.06 | (462) ~ (all_0_47_47 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (781), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (789), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (790), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (791), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (792), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 56.96/23.06 | % 56.96/23.06 | Applying alpha-rule on (793) yields: % 56.96/23.06 | (794) all_0_41_41 = e0 % 56.96/23.06 | (795) all_0_58_58 = e3 % 56.96/23.06 | (407) ~ (all_0_44_44 = e3) % 56.96/23.06 | % 56.96/23.06 | Combining equations (437,794) yields a new equation: % 56.96/23.06 | (481) e4 = e0 % 56.96/23.06 | % 56.96/23.06 | Simplifying 481 yields: % 56.96/23.06 | (397) e4 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (397) can reduce 49 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 56.96/23.06 | % 56.96/23.06 | Applying alpha-rule on (800) yields: % 56.96/23.06 | (794) all_0_41_41 = e0 % 56.96/23.06 | (795) all_0_58_58 = e3 % 56.96/23.06 | (803) ~ (all_0_55_55 = e0) % 56.96/23.06 | % 56.96/23.06 | Combining equations (437,794) yields a new equation: % 56.96/23.06 | (481) e4 = e0 % 56.96/23.06 | % 56.96/23.06 | Simplifying 481 yields: % 56.96/23.06 | (397) e4 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (397) can reduce 49 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 56.96/23.06 | % 56.96/23.06 | Applying alpha-rule on (807) yields: % 56.96/23.06 | (654) all_0_47_47 = e1 % 56.96/23.06 | (352) all_0_52_52 = e2 % 56.96/23.06 | (810) ~ (all_0_48_48 = e2) % 56.96/23.06 | % 56.96/23.06 | Equations (654) can reduce 462 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 56.96/23.06 | % 56.96/23.06 | Applying alpha-rule on (813) yields: % 56.96/23.06 | (654) all_0_47_47 = e1 % 56.96/23.06 | (352) all_0_52_52 = e2 % 56.96/23.06 | (464) ~ (all_0_51_51 = e1) % 56.96/23.06 | % 56.96/23.06 | Equations (654) can reduce 462 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 56.96/23.06 | % 56.96/23.06 | Applying alpha-rule on (819) yields: % 56.96/23.06 | (674) all_0_47_47 = e0 % 56.96/23.06 | (624) all_0_58_58 = e2 % 56.96/23.06 | (340) ~ (all_0_49_49 = e2) % 56.96/23.06 | % 56.96/23.06 | Equations (674) can reduce 678 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 56.96/23.06 | % 56.96/23.06 | Applying alpha-rule on (825) yields: % 56.96/23.06 | (674) all_0_47_47 = e0 % 56.96/23.06 | (624) all_0_58_58 = e2 % 56.96/23.06 | (828) ~ (all_0_56_56 = e0) % 56.96/23.06 | % 56.96/23.06 | Equations (674) can reduce 678 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (484) ~ (all_0_39_39 = e0) % 56.96/23.06 | (485) all_0_40_40 = e0 % 56.96/23.06 | % 56.96/23.06 | Combining equations (485,1378) yields a new equation: % 56.96/23.06 | (397) e4 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (397) can reduce 49 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (447) ~ (all_0_40_40 = e4) % 56.96/23.06 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (3259), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (654) all_0_47_47 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (654) can reduce 462 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (462) ~ (all_0_47_47 = e1) % 56.96/23.06 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (2271), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (446) all_0_44_44 = e4 % 56.96/23.06 | % 56.96/23.06 | Equations (446) can reduce 1390 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (1390) ~ (all_0_44_44 = e4) % 56.96/23.06 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (316), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1378) all_0_40_40 = e4 % 56.96/23.06 | % 56.96/23.06 | Equations (1378) can reduce 447 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (447) ~ (all_0_40_40 = e4) % 56.96/23.06 | (485) all_0_40_40 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (485) can reduce 176 to: % 56.96/23.06 | (484) ~ (all_0_39_39 = e0) % 56.96/23.06 | % 56.96/23.06 | Equations (485) can reduce 2 to: % 56.96/23.06 | (541) ~ (e3 = e0) % 56.96/23.06 | % 56.96/23.06 | Simplifying 541 yields: % 56.96/23.06 | (80) ~ (e3 = e0) % 56.96/23.06 | % 56.96/23.06 | Equations (485) can reduce 132 to: % 56.96/23.06 | (435) ~ (e1 = e0) % 56.96/23.06 | % 56.96/23.06 | Simplifying 435 yields: % 56.96/23.06 | (233) ~ (e1 = e0) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (104), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (480) all_0_39_39 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (480) can reduce 484 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (484) ~ (all_0_39_39 = e0) % 56.96/23.06 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (458), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (459) all_0_42_42 = e1 % 56.96/23.06 | % 56.96/23.06 | Combining equations (459,516) yields a new equation: % 56.96/23.06 | (455) e3 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (455) can reduce 213 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (1380) ~ (all_0_42_42 = e1) % 56.96/23.06 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (1381), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (430) all_0_43_43 = e1 % 56.96/23.06 | % 56.96/23.06 | Combining equations (430,356) yields a new equation: % 56.96/23.06 | (546) e1 = e0 % 56.96/23.06 | % 56.96/23.06 | Simplifying 546 yields: % 56.96/23.06 | (431) e1 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (431) can reduce 233 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (433) ~ (all_0_43_43 = e1) % 56.96/23.06 | (635) all_0_44_44 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (635) can reduce 1390 to: % 56.96/23.06 | (602) ~ (e4 = e1) % 56.96/23.06 | % 56.96/23.06 | Simplifying 602 yields: % 56.96/23.06 | (110) ~ (e4 = e1) % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (558), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (559) all_0_42_42 = e0 % 56.96/23.06 | % 56.96/23.06 | Combining equations (559,516) yields a new equation: % 56.96/23.06 | (676) e3 = e0 % 56.96/23.06 | % 56.96/23.06 | Equations (676) can reduce 80 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (358) ~ (all_0_42_42 = e0) % 56.96/23.06 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.06 | % 56.96/23.06 +-Applying beta-rule and splitting (3264), into two cases. % 56.96/23.06 |-Branch one: % 56.96/23.06 | (1109) all_0_51_51 = e1 % 56.96/23.06 | % 56.96/23.06 | Combining equations (1101,1109) yields a new equation: % 56.96/23.06 | (636) e4 = e1 % 56.96/23.06 | % 56.96/23.06 | Simplifying 636 yields: % 56.96/23.06 | (630) e4 = e1 % 56.96/23.06 | % 56.96/23.06 | Equations (630) can reduce 110 to: % 56.96/23.06 | (266) $false % 56.96/23.06 | % 56.96/23.06 |-The branch is then unsatisfiable % 56.96/23.06 |-Branch two: % 56.96/23.06 | (464) ~ (all_0_51_51 = e1) % 56.96/23.07 | (1569) all_0_56_56 = e1 % 56.96/23.07 | % 56.96/23.07 | Equations (1569) can reduce 828 to: % 56.96/23.07 | (233) ~ (e1 = e0) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (563), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (674) all_0_47_47 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (674) can reduce 79 to: % 56.96/23.07 | (484) ~ (all_0_39_39 = e0) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (320), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (471) all_0_39_39 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (471) can reduce 1377 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.07 | (480) all_0_39_39 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (480) can reduce 484 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (678) ~ (all_0_47_47 = e0) % 56.96/23.07 | (679) all_0_56_56 = e0 % 56.96/23.07 | % 56.96/23.07 | Combining equations (1569,679) yields a new equation: % 56.96/23.07 | (546) e1 = e0 % 56.96/23.07 | % 56.96/23.07 | Simplifying 546 yields: % 56.96/23.07 | (431) e1 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (431) can reduce 233 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (475) ~ (all_0_51_51 = e4) % 56.96/23.07 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (164), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (471) all_0_39_39 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (471) can reduce 154 to: % 56.96/23.07 | (476) ~ (all_0_56_56 = e4) % 56.96/23.07 | % 56.96/23.07 | Simplifying 476 yields: % 56.96/23.07 | (477) ~ (all_0_56_56 = e4) % 56.96/23.07 | % 56.96/23.07 | Equations (471) can reduce 246 to: % 56.96/23.07 | (188) ~ (e4 = e3) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (104), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (480) all_0_39_39 = e0 % 56.96/23.07 | % 56.96/23.07 | Combining equations (480,471) yields a new equation: % 56.96/23.07 | (397) e4 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (397) can reduce 49 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (484) ~ (all_0_39_39 = e0) % 56.96/23.07 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (471) can reduce 484 to: % 56.96/23.07 | (49) ~ (e4 = e0) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (333), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (480) all_0_39_39 = e0 % 56.96/23.07 | % 56.96/23.07 | Combining equations (480,471) yields a new equation: % 56.96/23.07 | (397) e4 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (397) can reduce 49 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (484) ~ (all_0_39_39 = e0) % 56.96/23.07 | (485) all_0_40_40 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (485) can reduce 200 to: % 56.96/23.07 | (486) ~ (all_0_49_49 = e0) % 56.96/23.07 | % 56.96/23.07 | Simplifying 486 yields: % 56.96/23.07 | (487) ~ (all_0_49_49 = e0) % 56.96/23.07 | % 56.96/23.07 | Equations (485) can reduce 178 to: % 56.96/23.07 | (490) ~ (all_0_58_58 = e0) % 56.96/23.07 | % 56.96/23.07 | Simplifying 490 yields: % 56.96/23.07 | (491) ~ (all_0_58_58 = e0) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (54), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (583) all_0_49_49 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (583) can reduce 256 to: % 56.96/23.07 | (327) ~ (e4 = e2) % 56.96/23.07 | % 56.96/23.07 | Simplifying 327 yields: % 56.96/23.07 | (48) ~ (e4 = e2) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (163), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (565) all_0_52_52 = e4 % 56.96/23.07 | % 56.96/23.07 | Combining equations (352,565) yields a new equation: % 56.96/23.07 | (323) e4 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (323) can reduce 48 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (780) ~ (all_0_52_52 = e4) % 56.96/23.07 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 56.96/23.07 | % 56.96/23.07 | Equations (352) can reduce 780 to: % 56.96/23.07 | (327) ~ (e4 = e2) % 56.96/23.07 | % 56.96/23.07 | Simplifying 327 yields: % 56.96/23.07 | (48) ~ (e4 = e2) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (1294), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (565) all_0_52_52 = e4 % 56.96/23.07 | % 56.96/23.07 | Combining equations (352,565) yields a new equation: % 56.96/23.07 | (323) e4 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (323) can reduce 48 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (780) ~ (all_0_52_52 = e4) % 56.96/23.07 | (1298) all_0_53_53 = e4 % 56.96/23.07 | % 56.96/23.07 | Combining equations (665,1298) yields a new equation: % 56.96/23.07 | (425) e4 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (425) can reduce 188 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (340) ~ (all_0_49_49 = e2) % 56.96/23.07 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (10171), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1105) all_0_47_47 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (1105) can reduce 86 to: % 56.96/23.07 | (339) ~ (all_0_49_49 = e2) % 56.96/23.07 | % 56.96/23.07 | Simplifying 339 yields: % 56.96/23.07 | (340) ~ (all_0_49_49 = e2) % 56.96/23.07 | % 56.96/23.07 | Equations (1105) can reduce 91 to: % 56.96/23.07 | (510) ~ (all_0_56_56 = e2) % 56.96/23.07 | % 56.96/23.07 | Simplifying 510 yields: % 56.96/23.07 | (511) ~ (all_0_56_56 = e2) % 56.96/23.07 | % 56.96/23.07 | Equations (1105) can reduce 1091 to: % 56.96/23.07 | (626) ~ (e3 = e2) % 56.96/23.07 | % 56.96/23.07 | Simplifying 626 yields: % 56.96/23.07 | (212) ~ (e3 = e2) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (377), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (583) all_0_49_49 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (583) can reduce 340 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (340) ~ (all_0_49_49 = e2) % 56.96/23.07 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (133), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (833) all_0_56_56 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (833) can reduce 511 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (511) ~ (all_0_56_56 = e2) % 56.96/23.07 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (836), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (842) all_0_56_56 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (842) can reduce 477 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (477) ~ (all_0_56_56 = e4) % 56.96/23.07 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (845), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (679) all_0_56_56 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (679) can reduce 828 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (828) ~ (all_0_56_56 = e0) % 56.96/23.07 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (3172), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1569) all_0_56_56 = e1 % 56.96/23.07 | % 56.96/23.07 | Equations (1569) can reduce 828 to: % 56.96/23.07 | (233) ~ (e1 = e0) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (108), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (624) all_0_58_58 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (624) can reduce 491 to: % 56.96/23.07 | (128) ~ (e2 = e0) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (832), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (674) all_0_47_47 = e0 % 56.96/23.07 | % 56.96/23.07 | Combining equations (674,1105) yields a new equation: % 56.96/23.07 | (330) e2 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (330) can reduce 128 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (678) ~ (all_0_47_47 = e0) % 56.96/23.07 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (1278), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1279) all_0_48_48 = e0 % 56.96/23.07 | % 56.96/23.07 | Combining equations (615,1279) yields a new equation: % 56.96/23.07 | (546) e1 = e0 % 56.96/23.07 | % 56.96/23.07 | Simplifying 546 yields: % 56.96/23.07 | (431) e1 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (431) can reduce 233 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (1283) ~ (all_0_48_48 = e0) % 56.96/23.07 | (978) all_0_49_49 = e0 % 56.96/23.07 | % 56.96/23.07 | Equations (978) can reduce 487 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (908) ~ (all_0_58_58 = e2) % 56.96/23.07 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (614), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (607) all_0_53_53 = e2 % 56.96/23.07 | % 56.96/23.07 | Combining equations (665,607) yields a new equation: % 56.96/23.07 | (661) e3 = e2 % 56.96/23.07 | % 56.96/23.07 | Simplifying 661 yields: % 56.96/23.07 | (662) e3 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (662) can reduce 212 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (509) ~ (all_0_53_53 = e2) % 56.96/23.07 | (624) all_0_58_58 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (624) can reduce 908 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (466) ~ (all_0_56_56 = e1) % 56.96/23.07 | (1097) all_0_56_56 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (1097) can reduce 272 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (338) ~ (all_0_47_47 = e2) % 56.96/23.07 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (10761), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (335) all_0_48_48 = e2 % 56.96/23.07 | % 56.96/23.07 | Combining equations (615,335) yields a new equation: % 56.96/23.07 | (617) e2 = e1 % 56.96/23.07 | % 56.96/23.07 | Equations (617) can reduce 122 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (810) ~ (all_0_48_48 = e2) % 56.96/23.07 | (583) all_0_49_49 = e2 % 56.96/23.07 | % 56.96/23.07 | Equations (583) can reduce 340 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (1377) ~ (all_0_39_39 = e4) % 56.96/23.07 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (2115), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1392) all_0_42_42 = e4 % 56.96/23.07 | % 56.96/23.07 | Combining equations (1392,516) yields a new equation: % 56.96/23.07 | (424) e4 = e3 % 56.96/23.07 | % 56.96/23.07 | Simplifying 424 yields: % 56.96/23.07 | (425) e4 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (425) can reduce 188 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.07 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (2246), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1790) all_0_47_47 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (1790) can reduce 252 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (252) ~ (all_0_47_47 = e4) % 56.96/23.07 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (6548), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1101) all_0_51_51 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (1101) can reduce 475 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (475) ~ (all_0_51_51 = e4) % 56.96/23.07 | (842) all_0_56_56 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (842) can reduce 477 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (405) ~ (all_0_42_42 = e3) % 56.96/23.07 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (1899), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (516) all_0_42_42 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (516) can reduce 405 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (405) ~ (all_0_42_42 = e3) % 56.96/23.07 | (532) all_0_44_44 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (532) can reduce 220 to: % 56.96/23.07 | (1114) ~ (all_0_53_53 = e3) % 56.96/23.07 | % 56.96/23.07 | Simplifying 1114 yields: % 56.96/23.07 | (903) ~ (all_0_53_53 = e3) % 56.96/23.07 | % 56.96/23.07 | Equations (532) can reduce 181 to: % 56.96/23.07 | (275) ~ (all_0_58_58 = e3) % 56.96/23.07 | % 56.96/23.07 | Simplifying 275 yields: % 56.96/23.07 | (276) ~ (all_0_58_58 = e3) % 56.96/23.07 | % 56.96/23.07 | Equations (532) can reduce 1390 to: % 56.96/23.07 | (277) ~ (e4 = e3) % 56.96/23.07 | % 56.96/23.07 | Simplifying 277 yields: % 56.96/23.07 | (188) ~ (e4 = e3) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (418), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (660) all_0_51_51 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (660) can reduce 464 to: % 56.96/23.07 | (213) ~ (e3 = e1) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (231), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (775) all_0_50_50 = e4 % 56.96/23.07 | % 56.96/23.07 | Combining equations (601,775) yields a new equation: % 56.96/23.07 | (630) e4 = e1 % 56.96/23.07 | % 56.96/23.07 | Equations (630) can reduce 110 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (566) ~ (all_0_50_50 = e4) % 56.96/23.07 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 56.96/23.07 | % 56.96/23.07 | Equations (601) can reduce 566 to: % 56.96/23.07 | (602) ~ (e4 = e1) % 56.96/23.07 | % 56.96/23.07 | Simplifying 602 yields: % 56.96/23.07 | (110) ~ (e4 = e1) % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (103), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (453) all_0_41_41 = e1 % 56.96/23.07 | % 56.96/23.07 | Combining equations (453,437) yields a new equation: % 56.96/23.07 | (630) e4 = e1 % 56.96/23.07 | % 56.96/23.07 | Equations (630) can reduce 110 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (457) ~ (all_0_41_41 = e1) % 56.96/23.07 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (1071), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (1101) all_0_51_51 = e4 % 56.96/23.07 | % 56.96/23.07 | Combining equations (660,1101) yields a new equation: % 56.96/23.07 | (425) e4 = e3 % 56.96/23.07 | % 56.96/23.07 | Equations (425) can reduce 188 to: % 56.96/23.07 | (266) $false % 56.96/23.07 | % 56.96/23.07 |-The branch is then unsatisfiable % 56.96/23.07 |-Branch two: % 56.96/23.07 | (475) ~ (all_0_51_51 = e4) % 56.96/23.07 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 56.96/23.07 | % 56.96/23.07 +-Applying beta-rule and splitting (1294), into two cases. % 56.96/23.07 |-Branch one: % 56.96/23.07 | (565) all_0_52_52 = e4 % 56.96/23.07 | % 56.96/23.08 | Combining equations (565,352) yields a new equation: % 56.96/23.08 | (322) e4 = e2 % 56.96/23.08 | % 56.96/23.08 | Simplifying 322 yields: % 56.96/23.08 | (323) e4 = e2 % 56.96/23.08 | % 56.96/23.08 | Equations (323) can reduce 48 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (780) ~ (all_0_52_52 = e4) % 56.96/23.08 | (1298) all_0_53_53 = e4 % 56.96/23.08 | % 56.96/23.08 | Equations (1298) can reduce 162 to: % 56.96/23.08 | (447) ~ (all_0_40_40 = e4) % 56.96/23.08 | % 56.96/23.08 | Equations (1298) can reduce 247 to: % 56.96/23.08 | (49) ~ (e4 = e0) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (164), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (471) all_0_39_39 = e4 % 56.96/23.08 | % 56.96/23.08 | Equations (471) can reduce 145 to: % 56.96/23.08 | (1901) ~ (all_0_42_42 = e4) % 56.96/23.08 | % 56.96/23.08 | Simplifying 1901 yields: % 56.96/23.08 | (1890) ~ (all_0_42_42 = e4) % 56.96/23.08 | % 56.96/23.08 | Equations (471) can reduce 294 to: % 56.96/23.08 | (48) ~ (e4 = e2) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (112), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (635) all_0_44_44 = e1 % 56.96/23.08 | % 56.96/23.08 | Combining equations (635,532) yields a new equation: % 56.96/23.08 | (455) e3 = e1 % 56.96/23.08 | % 56.96/23.08 | Equations (455) can reduce 213 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (639) ~ (all_0_44_44 = e1) % 56.96/23.08 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 56.96/23.08 | % 56.96/23.08 | Equations (532) can reduce 639 to: % 56.96/23.08 | (213) ~ (e3 = e1) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (104), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (480) all_0_39_39 = e0 % 56.96/23.08 | % 56.96/23.08 | Combining equations (480,471) yields a new equation: % 56.96/23.08 | (397) e4 = e0 % 56.96/23.08 | % 56.96/23.08 | Equations (397) can reduce 49 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (484) ~ (all_0_39_39 = e0) % 56.96/23.08 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 56.96/23.08 | % 56.96/23.08 | Equations (471) can reduce 484 to: % 56.96/23.08 | (49) ~ (e4 = e0) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (640), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (671) all_0_49_49 = e1 % 56.96/23.08 | % 56.96/23.08 | Equations (671) can reduce 1064 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (1064) ~ (all_0_49_49 = e1) % 56.96/23.08 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (333), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (480) all_0_39_39 = e0 % 56.96/23.08 | % 56.96/23.08 | Combining equations (480,471) yields a new equation: % 56.96/23.08 | (397) e4 = e0 % 56.96/23.08 | % 56.96/23.08 | Equations (397) can reduce 49 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (484) ~ (all_0_39_39 = e0) % 56.96/23.08 | (485) all_0_40_40 = e0 % 56.96/23.08 | % 56.96/23.08 | Equations (485) can reduce 132 to: % 56.96/23.08 | (435) ~ (e1 = e0) % 56.96/23.08 | % 56.96/23.08 | Simplifying 435 yields: % 56.96/23.08 | (233) ~ (e1 = e0) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (458), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (459) all_0_42_42 = e1 % 56.96/23.08 | % 56.96/23.08 | Equations (459) can reduce 198 to: % 56.96/23.08 | (461) ~ (all_0_47_47 = e1) % 56.96/23.08 | % 56.96/23.08 | Simplifying 461 yields: % 56.96/23.08 | (462) ~ (all_0_47_47 = e1) % 56.96/23.08 | % 56.96/23.08 | Equations (459) can reduce 1890 to: % 56.96/23.08 | (602) ~ (e4 = e1) % 56.96/23.08 | % 56.96/23.08 | Simplifying 602 yields: % 56.96/23.08 | (110) ~ (e4 = e1) % 56.96/23.08 | % 56.96/23.08 | Equations (459) can reduce 51 to: % 56.96/23.08 | (604) ~ (e2 = e1) % 56.96/23.08 | % 56.96/23.08 | Simplifying 604 yields: % 56.96/23.08 | (122) ~ (e2 = e1) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (2141), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (1208) all_0_53_53 = e1 % 56.96/23.08 | % 56.96/23.08 | Combining equations (1298,1208) yields a new equation: % 56.96/23.08 | (636) e4 = e1 % 56.96/23.08 | % 56.96/23.08 | Simplifying 636 yields: % 56.96/23.08 | (630) e4 = e1 % 56.96/23.08 | % 56.96/23.08 | Equations (630) can reduce 110 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (1459) ~ (all_0_53_53 = e1) % 56.96/23.08 | (918) all_0_58_58 = e1 % 56.96/23.08 | % 56.96/23.08 | Equations (918) can reduce 119 to: % 56.96/23.08 | (1064) ~ (all_0_49_49 = e1) % 56.96/23.08 | % 56.96/23.08 | Equations (918) can reduce 276 to: % 56.96/23.08 | (467) ~ (e3 = e1) % 56.96/23.08 | % 56.96/23.08 | Simplifying 467 yields: % 56.96/23.08 | (213) ~ (e3 = e1) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (163), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (565) all_0_52_52 = e4 % 56.96/23.08 | % 56.96/23.08 | Combining equations (352,565) yields a new equation: % 56.96/23.08 | (323) e4 = e2 % 56.96/23.08 | % 56.96/23.08 | Equations (323) can reduce 48 to: % 56.96/23.08 | (266) $false % 56.96/23.08 | % 56.96/23.08 |-The branch is then unsatisfiable % 56.96/23.08 |-Branch two: % 56.96/23.08 | (780) ~ (all_0_52_52 = e4) % 56.96/23.08 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 56.96/23.08 | % 56.96/23.08 | Equations (352) can reduce 780 to: % 56.96/23.08 | (327) ~ (e4 = e2) % 56.96/23.08 | % 56.96/23.08 | Simplifying 327 yields: % 56.96/23.08 | (48) ~ (e4 = e2) % 56.96/23.08 | % 56.96/23.08 +-Applying beta-rule and splitting (54), into two cases. % 56.96/23.08 |-Branch one: % 56.96/23.08 | (583) all_0_49_49 = e2 % 56.96/23.08 | % 57.12/23.08 | Equations (583) can reduce 1064 to: % 57.12/23.08 | (122) ~ (e2 = e1) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (781), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (789), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (790), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (791), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (792), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.12/23.08 | % 57.12/23.08 | Applying alpha-rule on (793) yields: % 57.12/23.08 | (794) all_0_41_41 = e0 % 57.12/23.08 | (795) all_0_58_58 = e3 % 57.12/23.08 | (407) ~ (all_0_44_44 = e3) % 57.12/23.08 | % 57.12/23.08 | Combining equations (918,795) yields a new equation: % 57.12/23.08 | (455) e3 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (455) can reduce 213 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.12/23.08 | % 57.12/23.08 | Applying alpha-rule on (800) yields: % 57.12/23.08 | (794) all_0_41_41 = e0 % 57.12/23.08 | (795) all_0_58_58 = e3 % 57.12/23.08 | (803) ~ (all_0_55_55 = e0) % 57.12/23.08 | % 57.12/23.08 | Combining equations (918,795) yields a new equation: % 57.12/23.08 | (455) e3 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (455) can reduce 213 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.12/23.08 | % 57.12/23.08 | Applying alpha-rule on (807) yields: % 57.12/23.08 | (654) all_0_47_47 = e1 % 57.12/23.08 | (352) all_0_52_52 = e2 % 57.12/23.08 | (810) ~ (all_0_48_48 = e2) % 57.12/23.08 | % 57.12/23.08 | Equations (654) can reduce 462 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.12/23.08 | % 57.12/23.08 | Applying alpha-rule on (813) yields: % 57.12/23.08 | (654) all_0_47_47 = e1 % 57.12/23.08 | (352) all_0_52_52 = e2 % 57.12/23.08 | (464) ~ (all_0_51_51 = e1) % 57.12/23.08 | % 57.12/23.08 | Equations (654) can reduce 462 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.12/23.08 | % 57.12/23.08 | Applying alpha-rule on (819) yields: % 57.12/23.08 | (674) all_0_47_47 = e0 % 57.12/23.08 | (624) all_0_58_58 = e2 % 57.12/23.08 | (340) ~ (all_0_49_49 = e2) % 57.12/23.08 | % 57.12/23.08 | Combining equations (918,624) yields a new equation: % 57.12/23.08 | (617) e2 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (617) can reduce 122 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.12/23.08 | % 57.12/23.08 | Applying alpha-rule on (825) yields: % 57.12/23.08 | (674) all_0_47_47 = e0 % 57.12/23.08 | (624) all_0_58_58 = e2 % 57.12/23.08 | (828) ~ (all_0_56_56 = e0) % 57.12/23.08 | % 57.12/23.08 | Combining equations (918,624) yields a new equation: % 57.12/23.08 | (617) e2 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (617) can reduce 122 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (340) ~ (all_0_49_49 = e2) % 57.12/23.08 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (377), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (583) all_0_49_49 = e2 % 57.12/23.08 | % 57.12/23.08 | Equations (583) can reduce 340 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (340) ~ (all_0_49_49 = e2) % 57.12/23.08 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (614), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (607) all_0_53_53 = e2 % 57.12/23.08 | % 57.12/23.08 | Combining equations (1298,607) yields a new equation: % 57.12/23.08 | (322) e4 = e2 % 57.12/23.08 | % 57.12/23.08 | Simplifying 322 yields: % 57.12/23.08 | (323) e4 = e2 % 57.12/23.08 | % 57.12/23.08 | Equations (323) can reduce 48 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (509) ~ (all_0_53_53 = e2) % 57.12/23.08 | (624) all_0_58_58 = e2 % 57.12/23.08 | % 57.12/23.08 | Combining equations (918,624) yields a new equation: % 57.12/23.08 | (617) e2 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (617) can reduce 122 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (1380) ~ (all_0_42_42 = e1) % 57.12/23.08 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (1381), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (430) all_0_43_43 = e1 % 57.12/23.08 | % 57.12/23.08 | Combining equations (430,356) yields a new equation: % 57.12/23.08 | (546) e1 = e0 % 57.12/23.08 | % 57.12/23.08 | Simplifying 546 yields: % 57.12/23.08 | (431) e1 = e0 % 57.12/23.08 | % 57.12/23.08 | Equations (431) can reduce 233 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (433) ~ (all_0_43_43 = e1) % 57.12/23.08 | (635) all_0_44_44 = e1 % 57.12/23.08 | % 57.12/23.08 | Combining equations (635,532) yields a new equation: % 57.12/23.08 | (455) e3 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (455) can reduce 213 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (1377) ~ (all_0_39_39 = e4) % 57.12/23.08 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (320), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (471) all_0_39_39 = e4 % 57.12/23.08 | % 57.12/23.08 | Equations (471) can reduce 1377 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (1377) ~ (all_0_39_39 = e4) % 57.12/23.08 | (480) all_0_39_39 = e0 % 57.12/23.08 | % 57.12/23.08 | Equations (480) can reduce 176 to: % 57.12/23.08 | (1400) ~ (all_0_40_40 = e0) % 57.12/23.08 | % 57.12/23.08 | Simplifying 1400 yields: % 57.12/23.08 | (1401) ~ (all_0_40_40 = e0) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (316), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (1378) all_0_40_40 = e4 % 57.12/23.08 | % 57.12/23.08 | Equations (1378) can reduce 447 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (447) ~ (all_0_40_40 = e4) % 57.12/23.08 | (485) all_0_40_40 = e0 % 57.12/23.08 | % 57.12/23.08 | Equations (485) can reduce 1401 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (664) ~ (all_0_51_51 = e3) % 57.12/23.08 | (665) all_0_53_53 = e3 % 57.12/23.08 | % 57.12/23.08 | Equations (665) can reduce 903 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (759) ~ (all_0_50_50 = e1) % 57.12/23.08 | (415) all_0_50_50 = e3 % 57.12/23.08 | % 57.12/23.08 | Equations (415) can reduce 411 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (440) ~ (all_0_41_41 = e4) % 57.12/23.08 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (4049), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (794) all_0_41_41 = e0 % 57.12/23.08 | % 57.12/23.08 | Equations (794) can reduce 357 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (357) ~ (all_0_41_41 = e0) % 57.12/23.08 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (4053), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (453) all_0_41_41 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (453) can reduce 221 to: % 57.12/23.08 | (1136) ~ (all_0_50_50 = e1) % 57.12/23.08 | % 57.12/23.08 | Simplifying 1136 yields: % 57.12/23.08 | (759) ~ (all_0_50_50 = e1) % 57.12/23.08 | % 57.12/23.08 | Equations (453) can reduce 440 to: % 57.12/23.08 | (602) ~ (e4 = e1) % 57.12/23.08 | % 57.12/23.08 | Simplifying 602 yields: % 57.12/23.08 | (110) ~ (e4 = e1) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (241), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (378) all_0_50_50 = e2 % 57.12/23.08 | % 57.12/23.08 | Equations (378) can reduce 302 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (302) ~ (all_0_50_50 = e2) % 57.12/23.08 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (62), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (321) all_0_38_38 = e4 % 57.12/23.08 | % 57.12/23.08 | Combining equations (321,292) yields a new equation: % 57.12/23.08 | (322) e4 = e2 % 57.12/23.08 | % 57.12/23.08 | Simplifying 322 yields: % 57.12/23.08 | (323) e4 = e2 % 57.12/23.08 | % 57.12/23.08 | Equations (323) can reduce 48 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (325) ~ (all_0_38_38 = e4) % 57.12/23.08 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (582), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (437) all_0_41_41 = e4 % 57.12/23.08 | % 57.12/23.08 | Combining equations (437,453) yields a new equation: % 57.12/23.08 | (636) e4 = e1 % 57.12/23.08 | % 57.12/23.08 | Simplifying 636 yields: % 57.12/23.08 | (630) e4 = e1 % 57.12/23.08 | % 57.12/23.08 | Equations (630) can reduce 110 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (440) ~ (all_0_41_41 = e4) % 57.12/23.08 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (769), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (770) all_0_46_46 = e4 % 57.12/23.08 | % 57.12/23.08 | Combining equations (1557,770) yields a new equation: % 57.12/23.08 | (425) e4 = e3 % 57.12/23.08 | % 57.12/23.08 | Equations (425) can reduce 188 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (250) ~ (all_0_46_46 = e4) % 57.12/23.08 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (422), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (775) all_0_50_50 = e4 % 57.12/23.08 | % 57.12/23.08 | Equations (775) can reduce 759 to: % 57.12/23.08 | (110) ~ (e4 = e1) % 57.12/23.08 | % 57.12/23.08 | Equations (775) can reduce 121 to: % 57.12/23.08 | (49) ~ (e4 = e0) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (26), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (446) all_0_44_44 = e4 % 57.12/23.08 | % 57.12/23.08 | Equations (446) can reduce 143 to: % 57.12/23.08 | (447) ~ (all_0_40_40 = e4) % 57.12/23.08 | % 57.12/23.08 | Equations (446) can reduce 360 to: % 57.12/23.08 | (49) ~ (e4 = e0) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (164), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (471) all_0_39_39 = e4 % 57.12/23.08 | % 57.12/23.08 | Equations (471) can reduce 176 to: % 57.12/23.08 | (7398) ~ (all_0_40_40 = e4) % 57.12/23.08 | % 57.12/23.08 | Simplifying 7398 yields: % 57.12/23.08 | (447) ~ (all_0_40_40 = e4) % 57.12/23.08 | % 57.12/23.08 | Equations (471) can reduce 294 to: % 57.12/23.08 | (48) ~ (e4 = e2) % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (104), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.08 | (480) all_0_39_39 = e0 % 57.12/23.08 | % 57.12/23.08 | Combining equations (480,471) yields a new equation: % 57.12/23.08 | (397) e4 = e0 % 57.12/23.08 | % 57.12/23.08 | Equations (397) can reduce 49 to: % 57.12/23.08 | (266) $false % 57.12/23.08 | % 57.12/23.08 |-The branch is then unsatisfiable % 57.12/23.08 |-Branch two: % 57.12/23.08 | (484) ~ (all_0_39_39 = e0) % 57.12/23.08 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.12/23.08 | % 57.12/23.08 +-Applying beta-rule and splitting (558), into two cases. % 57.12/23.08 |-Branch one: % 57.12/23.09 | (559) all_0_42_42 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (559) can reduce 358 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (358) ~ (all_0_42_42 = e0) % 57.12/23.09 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (563), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (674) all_0_47_47 = e0 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (75), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (485) all_0_40_40 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (485) can reduce 178 to: % 57.12/23.09 | (490) ~ (all_0_58_58 = e0) % 57.12/23.09 | % 57.12/23.09 | Simplifying 490 yields: % 57.12/23.09 | (491) ~ (all_0_58_58 = e0) % 57.12/23.09 | % 57.12/23.09 | Equations (485) can reduce 132 to: % 57.12/23.09 | (435) ~ (e1 = e0) % 57.12/23.09 | % 57.12/23.09 | Simplifying 435 yields: % 57.12/23.09 | (233) ~ (e1 = e0) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (163), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (565) all_0_52_52 = e4 % 57.12/23.09 | % 57.12/23.09 | Combining equations (565,352) yields a new equation: % 57.12/23.09 | (322) e4 = e2 % 57.12/23.09 | % 57.12/23.09 | Simplifying 322 yields: % 57.12/23.09 | (323) e4 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (323) can reduce 48 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (780) ~ (all_0_52_52 = e4) % 57.12/23.09 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (7), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (504) all_0_51_51 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (504) can reduce 1099 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (1099) ~ (all_0_51_51 = e2) % 57.12/23.09 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (781), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (789), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (790), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (791), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (792), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.12/23.09 | % 57.12/23.09 | Applying alpha-rule on (793) yields: % 57.12/23.09 | (794) all_0_41_41 = e0 % 57.12/23.09 | (795) all_0_58_58 = e3 % 57.12/23.09 | (407) ~ (all_0_44_44 = e3) % 57.12/23.09 | % 57.12/23.09 | Combining equations (794,453) yields a new equation: % 57.12/23.09 | (431) e1 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (431) can reduce 233 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.12/23.09 | % 57.12/23.09 | Applying alpha-rule on (800) yields: % 57.12/23.09 | (794) all_0_41_41 = e0 % 57.12/23.09 | (795) all_0_58_58 = e3 % 57.12/23.09 | (803) ~ (all_0_55_55 = e0) % 57.12/23.09 | % 57.12/23.09 | Combining equations (794,453) yields a new equation: % 57.12/23.09 | (431) e1 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (431) can reduce 233 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.12/23.09 | % 57.12/23.09 | Applying alpha-rule on (807) yields: % 57.12/23.09 | (654) all_0_47_47 = e1 % 57.12/23.09 | (352) all_0_52_52 = e2 % 57.12/23.09 | (810) ~ (all_0_48_48 = e2) % 57.12/23.09 | % 57.12/23.09 | Combining equations (654,674) yields a new equation: % 57.12/23.09 | (546) e1 = e0 % 57.12/23.09 | % 57.12/23.09 | Simplifying 546 yields: % 57.12/23.09 | (431) e1 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (431) can reduce 233 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.12/23.09 | % 57.12/23.09 | Applying alpha-rule on (813) yields: % 57.12/23.09 | (654) all_0_47_47 = e1 % 57.12/23.09 | (352) all_0_52_52 = e2 % 57.12/23.09 | (464) ~ (all_0_51_51 = e1) % 57.12/23.09 | % 57.12/23.09 | Combining equations (654,674) yields a new equation: % 57.12/23.09 | (546) e1 = e0 % 57.12/23.09 | % 57.12/23.09 | Simplifying 546 yields: % 57.12/23.09 | (431) e1 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (431) can reduce 233 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.12/23.09 | % 57.12/23.09 | Applying alpha-rule on (819) yields: % 57.12/23.09 | (674) all_0_47_47 = e0 % 57.12/23.09 | (624) all_0_58_58 = e2 % 57.12/23.09 | (340) ~ (all_0_49_49 = e2) % 57.12/23.09 | % 57.12/23.09 | Equations (624) can reduce 44 to: % 57.12/23.09 | (511) ~ (all_0_56_56 = e2) % 57.12/23.09 | % 57.12/23.09 | Equations (624) can reduce 491 to: % 57.12/23.09 | (128) ~ (e2 = e0) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (133), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (833) all_0_56_56 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (833) can reduce 511 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (511) ~ (all_0_56_56 = e2) % 57.12/23.09 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (10171), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (1105) all_0_47_47 = e2 % 57.12/23.09 | % 57.12/23.09 | Combining equations (674,1105) yields a new equation: % 57.12/23.09 | (330) e2 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (330) can reduce 128 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (338) ~ (all_0_47_47 = e2) % 57.12/23.09 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (674) can reduce 338 to: % 57.12/23.09 | (365) ~ (e2 = e0) % 57.12/23.09 | % 57.12/23.09 | Simplifying 365 yields: % 57.12/23.09 | (128) ~ (e2 = e0) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (385), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (1105) all_0_47_47 = e2 % 57.12/23.09 | % 57.12/23.09 | Combining equations (674,1105) yields a new equation: % 57.12/23.09 | (330) e2 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (330) can reduce 128 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (338) ~ (all_0_47_47 = e2) % 57.12/23.09 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (1108), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (504) all_0_51_51 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (504) can reduce 1099 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (1099) ~ (all_0_51_51 = e2) % 57.12/23.09 | (833) all_0_56_56 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (833) can reduce 511 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.12/23.09 | % 57.12/23.09 | Applying alpha-rule on (825) yields: % 57.12/23.09 | (674) all_0_47_47 = e0 % 57.12/23.09 | (624) all_0_58_58 = e2 % 57.12/23.09 | (828) ~ (all_0_56_56 = e0) % 57.12/23.09 | % 57.12/23.09 | Equations (624) can reduce 44 to: % 57.12/23.09 | (511) ~ (all_0_56_56 = e2) % 57.12/23.09 | % 57.12/23.09 | Equations (624) can reduce 491 to: % 57.12/23.09 | (128) ~ (e2 = e0) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (133), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (833) all_0_56_56 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (833) can reduce 511 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (511) ~ (all_0_56_56 = e2) % 57.12/23.09 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (10171), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (1105) all_0_47_47 = e2 % 57.12/23.09 | % 57.12/23.09 | Combining equations (674,1105) yields a new equation: % 57.12/23.09 | (330) e2 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (330) can reduce 128 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (338) ~ (all_0_47_47 = e2) % 57.12/23.09 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (674) can reduce 338 to: % 57.12/23.09 | (365) ~ (e2 = e0) % 57.12/23.09 | % 57.12/23.09 | Simplifying 365 yields: % 57.12/23.09 | (128) ~ (e2 = e0) % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (385), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (1105) all_0_47_47 = e2 % 57.12/23.09 | % 57.12/23.09 | Combining equations (674,1105) yields a new equation: % 57.12/23.09 | (330) e2 = e0 % 57.12/23.09 | % 57.12/23.09 | Equations (330) can reduce 128 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (338) ~ (all_0_47_47 = e2) % 57.12/23.09 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (1108), into two cases. % 57.12/23.09 |-Branch one: % 57.12/23.09 | (504) all_0_51_51 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (504) can reduce 1099 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (1099) ~ (all_0_51_51 = e2) % 57.12/23.09 | (833) all_0_56_56 = e2 % 57.12/23.09 | % 57.12/23.09 | Equations (833) can reduce 511 to: % 57.12/23.09 | (266) $false % 57.12/23.09 | % 57.12/23.09 |-The branch is then unsatisfiable % 57.12/23.09 |-Branch two: % 57.12/23.09 | (1401) ~ (all_0_40_40 = e0) % 57.12/23.09 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.12/23.09 | % 57.12/23.09 +-Applying beta-rule and splitting (316), into two cases. % 57.12/23.09 |-Branch one: % 57.13/23.09 | (1378) all_0_40_40 = e4 % 57.13/23.09 | % 57.13/23.09 | Equations (1378) can reduce 447 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (447) ~ (all_0_40_40 = e4) % 57.13/23.09 | (485) all_0_40_40 = e0 % 57.13/23.09 | % 57.13/23.09 | Equations (485) can reduce 1401 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (678) ~ (all_0_47_47 = e0) % 57.13/23.09 | (679) all_0_56_56 = e0 % 57.13/23.09 | % 57.13/23.09 | Equations (679) can reduce 828 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (1377) ~ (all_0_39_39 = e4) % 57.13/23.09 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (326), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (471) all_0_39_39 = e4 % 57.13/23.09 | % 57.13/23.09 | Equations (471) can reduce 1377 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (1377) ~ (all_0_39_39 = e4) % 57.13/23.09 | (1378) all_0_40_40 = e4 % 57.13/23.09 | % 57.13/23.09 | Equations (1378) can reduce 447 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (1390) ~ (all_0_44_44 = e4) % 57.13/23.09 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (64), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (437) all_0_41_41 = e4 % 57.13/23.09 | % 57.13/23.09 | Combining equations (437,453) yields a new equation: % 57.13/23.09 | (636) e4 = e1 % 57.13/23.09 | % 57.13/23.09 | Simplifying 636 yields: % 57.13/23.09 | (630) e4 = e1 % 57.13/23.09 | % 57.13/23.09 | Equations (630) can reduce 110 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (440) ~ (all_0_41_41 = e4) % 57.13/23.09 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (441), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (1392) all_0_42_42 = e4 % 57.13/23.09 | % 57.13/23.09 | Equations (1392) can reduce 145 to: % 57.13/23.09 | (1377) ~ (all_0_39_39 = e4) % 57.13/23.09 | % 57.13/23.09 | Equations (1392) can reduce 358 to: % 57.13/23.09 | (49) ~ (e4 = e0) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (326), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (471) all_0_39_39 = e4 % 57.13/23.09 | % 57.13/23.09 | Equations (471) can reduce 1377 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (1377) ~ (all_0_39_39 = e4) % 57.13/23.09 | (1378) all_0_40_40 = e4 % 57.13/23.09 | % 57.13/23.09 | Equations (1378) can reduce 176 to: % 57.13/23.09 | (1377) ~ (all_0_39_39 = e4) % 57.13/23.09 | % 57.13/23.09 | Equations (1378) can reduce 296 to: % 57.13/23.09 | (48) ~ (e4 = e2) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (333), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (480) all_0_39_39 = e0 % 57.13/23.09 | % 57.13/23.09 | Equations (480) can reduce 1377 to: % 57.13/23.09 | (401) ~ (e4 = e0) % 57.13/23.09 | % 57.13/23.09 | Simplifying 401 yields: % 57.13/23.09 | (49) ~ (e4 = e0) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (75), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (485) all_0_40_40 = e0 % 57.13/23.09 | % 57.13/23.09 | Combining equations (485,1378) yields a new equation: % 57.13/23.09 | (397) e4 = e0 % 57.13/23.09 | % 57.13/23.09 | Equations (397) can reduce 49 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (1401) ~ (all_0_40_40 = e0) % 57.13/23.09 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (1748), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (1414) all_0_44_44 = e0 % 57.13/23.09 | % 57.13/23.09 | Equations (1414) can reduce 360 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (360) ~ (all_0_44_44 = e0) % 57.13/23.09 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (163), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (565) all_0_52_52 = e4 % 57.13/23.09 | % 57.13/23.09 | Combining equations (565,352) yields a new equation: % 57.13/23.09 | (322) e4 = e2 % 57.13/23.09 | % 57.13/23.09 | Simplifying 322 yields: % 57.13/23.09 | (323) e4 = e2 % 57.13/23.09 | % 57.13/23.09 | Equations (323) can reduce 48 to: % 57.13/23.09 | (266) $false % 57.13/23.09 | % 57.13/23.09 |-The branch is then unsatisfiable % 57.13/23.09 |-Branch two: % 57.13/23.09 | (780) ~ (all_0_52_52 = e4) % 57.13/23.09 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (1760), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (978) all_0_49_49 = e0 % 57.13/23.09 | % 57.13/23.09 | Equations (978) can reduce 86 to: % 57.13/23.09 | (678) ~ (all_0_47_47 = e0) % 57.13/23.09 | % 57.13/23.09 | Equations (978) can reduce 1064 to: % 57.13/23.09 | (435) ~ (e1 = e0) % 57.13/23.09 | % 57.13/23.09 | Simplifying 435 yields: % 57.13/23.09 | (233) ~ (e1 = e0) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (781), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (789), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (790), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.09 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.13/23.09 | % 57.13/23.09 +-Applying beta-rule and splitting (791), into two cases. % 57.13/23.09 |-Branch one: % 57.13/23.10 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (792), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (793) yields: % 57.13/23.10 | (794) all_0_41_41 = e0 % 57.13/23.10 | (795) all_0_58_58 = e3 % 57.13/23.10 | (407) ~ (all_0_44_44 = e3) % 57.13/23.10 | % 57.13/23.10 | Combining equations (794,453) yields a new equation: % 57.13/23.10 | (431) e1 = e0 % 57.13/23.10 | % 57.13/23.10 | Equations (431) can reduce 233 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (800) yields: % 57.13/23.10 | (794) all_0_41_41 = e0 % 57.13/23.10 | (795) all_0_58_58 = e3 % 57.13/23.10 | (803) ~ (all_0_55_55 = e0) % 57.13/23.10 | % 57.13/23.10 | Combining equations (794,453) yields a new equation: % 57.13/23.10 | (431) e1 = e0 % 57.13/23.10 | % 57.13/23.10 | Equations (431) can reduce 233 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (807) yields: % 57.13/23.10 | (654) all_0_47_47 = e1 % 57.13/23.10 | (352) all_0_52_52 = e2 % 57.13/23.10 | (810) ~ (all_0_48_48 = e2) % 57.13/23.10 | % 57.13/23.10 | Equations (654) can reduce 462 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (813) yields: % 57.13/23.10 | (654) all_0_47_47 = e1 % 57.13/23.10 | (352) all_0_52_52 = e2 % 57.13/23.10 | (464) ~ (all_0_51_51 = e1) % 57.13/23.10 | % 57.13/23.10 | Equations (654) can reduce 462 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (819) yields: % 57.13/23.10 | (674) all_0_47_47 = e0 % 57.13/23.10 | (624) all_0_58_58 = e2 % 57.13/23.10 | (340) ~ (all_0_49_49 = e2) % 57.13/23.10 | % 57.13/23.10 | Equations (674) can reduce 678 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (825) yields: % 57.13/23.10 | (674) all_0_47_47 = e0 % 57.13/23.10 | (624) all_0_58_58 = e2 % 57.13/23.10 | (828) ~ (all_0_56_56 = e0) % 57.13/23.10 | % 57.13/23.10 | Equations (674) can reduce 678 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (487) ~ (all_0_49_49 = e0) % 57.13/23.10 | (914) all_0_58_58 = e0 % 57.13/23.10 | % 57.13/23.10 | Equations (914) can reduce 491 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (484) ~ (all_0_39_39 = e0) % 57.13/23.10 | (485) all_0_40_40 = e0 % 57.13/23.10 | % 57.13/23.10 | Combining equations (485,1378) yields a new equation: % 57.13/23.10 | (397) e4 = e0 % 57.13/23.10 | % 57.13/23.10 | Equations (397) can reduce 49 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (1890) ~ (all_0_42_42 = e4) % 57.13/23.10 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (1891), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (396) all_0_43_43 = e4 % 57.13/23.10 | % 57.13/23.10 | Combining equations (396,356) yields a new equation: % 57.13/23.10 | (481) e4 = e0 % 57.13/23.10 | % 57.13/23.10 | Simplifying 481 yields: % 57.13/23.10 | (397) e4 = e0 % 57.13/23.10 | % 57.13/23.10 | Equations (397) can reduce 49 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (399) ~ (all_0_43_43 = e4) % 57.13/23.10 | (446) all_0_44_44 = e4 % 57.13/23.10 | % 57.13/23.10 | Equations (446) can reduce 1390 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (566) ~ (all_0_50_50 = e4) % 57.13/23.10 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (774), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (775) all_0_50_50 = e4 % 57.13/23.10 | % 57.13/23.10 | Equations (775) can reduce 566 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (566) ~ (all_0_50_50 = e4) % 57.13/23.10 | (587) all_0_55_55 = e4 % 57.13/23.10 | % 57.13/23.10 | Combining equations (858,587) yields a new equation: % 57.13/23.10 | (397) e4 = e0 % 57.13/23.10 | % 57.13/23.10 | Equations (397) can reduce 49 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (457) ~ (all_0_41_41 = e1) % 57.13/23.10 | (403) all_0_41_41 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (403) can reduce 1898 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (409) ~ (all_0_46_46 = e3) % 57.13/23.10 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (4042), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (415) all_0_50_50 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (415) can reduce 411 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (411) ~ (all_0_50_50 = e3) % 57.13/23.10 | (2336) all_0_55_55 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (2336) can reduce 270 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (5470) ~ (all_0_43_43 = e0) % 57.13/23.10 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (195), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (396) all_0_43_43 = e4 % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 31 to: % 57.13/23.10 | (440) ~ (all_0_41_41 = e4) % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 240 to: % 57.13/23.10 | (1890) ~ (all_0_42_42 = e4) % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 159 to: % 57.13/23.10 | (1903) ~ (all_0_44_44 = e4) % 57.13/23.10 | % 57.13/23.10 | Simplifying 1903 yields: % 57.13/23.10 | (1390) ~ (all_0_44_44 = e4) % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 17 to: % 57.13/23.10 | (253) ~ (all_0_48_48 = e4) % 57.13/23.10 | % 57.13/23.10 | Simplifying 253 yields: % 57.13/23.10 | (254) ~ (all_0_48_48 = e4) % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 199 to: % 57.13/23.10 | (838) ~ (all_0_57_57 = e4) % 57.13/23.10 | % 57.13/23.10 | Simplifying 838 yields: % 57.13/23.10 | (839) ~ (all_0_57_57 = e4) % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 99 to: % 57.13/23.10 | (188) ~ (e4 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (396) can reduce 96 to: % 57.13/23.10 | (48) ~ (e4 = e2) % 57.13/23.10 | % 57.13/23.10 | From (396) and (37) follows: % 57.13/23.10 | (5492) op(e3, e1) = e4 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (168), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (415) all_0_50_50 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (415) can reduce 221 to: % 57.13/23.10 | (1898) ~ (all_0_41_41 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (415) can reduce 35 to: % 57.13/23.10 | (409) ~ (all_0_46_46 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (415) can reduce 121 to: % 57.13/23.10 | (80) ~ (e3 = e0) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (62), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (321) all_0_38_38 = e4 % 57.13/23.10 | % 57.13/23.10 | Combining equations (321,292) yields a new equation: % 57.13/23.10 | (322) e4 = e2 % 57.13/23.10 | % 57.13/23.10 | Simplifying 322 yields: % 57.13/23.10 | (323) e4 = e2 % 57.13/23.10 | % 57.13/23.10 | Equations (323) can reduce 48 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (325) ~ (all_0_38_38 = e4) % 57.13/23.10 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (582), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (437) all_0_41_41 = e4 % 57.13/23.10 | % 57.13/23.10 | Equations (437) can reduce 440 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (440) ~ (all_0_41_41 = e4) % 57.13/23.10 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (769), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (770) all_0_46_46 = e4 % 57.13/23.10 | % 57.13/23.10 | Equations (770) can reduce 250 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (250) ~ (all_0_46_46 = e4) % 57.13/23.10 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (774), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (775) all_0_50_50 = e4 % 57.13/23.10 | % 57.13/23.10 | Combining equations (415,775) yields a new equation: % 57.13/23.10 | (425) e4 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (425) can reduce 188 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (566) ~ (all_0_50_50 = e4) % 57.13/23.10 | (587) all_0_55_55 = e4 % 57.13/23.10 | % 57.13/23.10 | Equations (587) can reduce 304 to: % 57.13/23.10 | (48) ~ (e4 = e2) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (113), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (403) all_0_41_41 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (403) can reduce 1898 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (1898) ~ (all_0_41_41 = e3) % 57.13/23.10 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (189), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (532) all_0_44_44 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (532) can reduce 73 to: % 57.13/23.10 | (405) ~ (all_0_42_42 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (532) can reduce 9 to: % 57.13/23.10 | (524) ~ (all_0_49_49 = e3) % 57.13/23.10 | % 57.13/23.10 | Simplifying 524 yields: % 57.13/23.10 | (525) ~ (all_0_49_49 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (532) can reduce 181 to: % 57.13/23.10 | (275) ~ (all_0_58_58 = e3) % 57.13/23.10 | % 57.13/23.10 | Simplifying 275 yields: % 57.13/23.10 | (276) ~ (all_0_58_58 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (532) can reduce 1390 to: % 57.13/23.10 | (277) ~ (e4 = e3) % 57.13/23.10 | % 57.13/23.10 | Simplifying 277 yields: % 57.13/23.10 | (188) ~ (e4 = e3) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (78), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (423) all_0_45_45 = e3 % 57.13/23.10 | % 57.13/23.10 | Combining equations (248,423) yields a new equation: % 57.13/23.10 | (424) e4 = e3 % 57.13/23.10 | % 57.13/23.10 | Simplifying 424 yields: % 57.13/23.10 | (425) e4 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (425) can reduce 188 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (427) ~ (all_0_45_45 = e3) % 57.13/23.10 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (180), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (516) all_0_42_42 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (516) can reduce 405 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (405) ~ (all_0_42_42 = e3) % 57.13/23.10 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (428), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (1557) all_0_46_46 = e3 % 57.13/23.10 | % 57.13/23.10 | Equations (1557) can reduce 409 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (409) ~ (all_0_46_46 = e3) % 57.13/23.10 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (521), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (522) all_0_47_47 = e3 % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (163), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (565) all_0_52_52 = e4 % 57.13/23.10 | % 57.13/23.10 | Combining equations (352,565) yields a new equation: % 57.13/23.10 | (323) e4 = e2 % 57.13/23.10 | % 57.13/23.10 | Equations (323) can reduce 48 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (780) ~ (all_0_52_52 = e4) % 57.13/23.10 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (781), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (789), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (790), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (791), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.13/23.10 | % 57.13/23.10 +-Applying beta-rule and splitting (792), into two cases. % 57.13/23.10 |-Branch one: % 57.13/23.10 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (793) yields: % 57.13/23.10 | (794) all_0_41_41 = e0 % 57.13/23.10 | (795) all_0_58_58 = e3 % 57.13/23.10 | (407) ~ (all_0_44_44 = e3) % 57.13/23.10 | % 57.13/23.10 | Equations (795) can reduce 276 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (800) yields: % 57.13/23.10 | (794) all_0_41_41 = e0 % 57.13/23.10 | (795) all_0_58_58 = e3 % 57.13/23.10 | (803) ~ (all_0_55_55 = e0) % 57.13/23.10 | % 57.13/23.10 | Equations (795) can reduce 276 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (807) yields: % 57.13/23.10 | (654) all_0_47_47 = e1 % 57.13/23.10 | (352) all_0_52_52 = e2 % 57.13/23.10 | (810) ~ (all_0_48_48 = e2) % 57.13/23.10 | % 57.13/23.10 | Combining equations (654,522) yields a new equation: % 57.13/23.10 | (455) e3 = e1 % 57.13/23.10 | % 57.13/23.10 | Equations (455) can reduce 213 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.10 |-Branch two: % 57.13/23.10 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.13/23.10 | % 57.13/23.10 | Applying alpha-rule on (813) yields: % 57.13/23.10 | (654) all_0_47_47 = e1 % 57.13/23.10 | (352) all_0_52_52 = e2 % 57.13/23.10 | (464) ~ (all_0_51_51 = e1) % 57.13/23.10 | % 57.13/23.10 | Combining equations (654,522) yields a new equation: % 57.13/23.10 | (455) e3 = e1 % 57.13/23.10 | % 57.13/23.10 | Equations (455) can reduce 213 to: % 57.13/23.10 | (266) $false % 57.13/23.10 | % 57.13/23.10 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (819) yields: % 57.13/23.11 | (674) all_0_47_47 = e0 % 57.13/23.11 | (624) all_0_58_58 = e2 % 57.13/23.11 | (340) ~ (all_0_49_49 = e2) % 57.13/23.11 | % 57.13/23.11 | Combining equations (674,522) yields a new equation: % 57.13/23.11 | (676) e3 = e0 % 57.13/23.11 | % 57.13/23.11 | Equations (676) can reduce 80 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (825) yields: % 57.13/23.11 | (674) all_0_47_47 = e0 % 57.13/23.11 | (624) all_0_58_58 = e2 % 57.13/23.11 | (828) ~ (all_0_56_56 = e0) % 57.13/23.11 | % 57.13/23.11 | Combining equations (674,522) yields a new equation: % 57.13/23.11 | (676) e3 = e0 % 57.13/23.11 | % 57.13/23.11 | Equations (676) can reduce 80 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (1091) ~ (all_0_47_47 = e3) % 57.13/23.11 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (1561), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (522) all_0_47_47 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (522) can reduce 1091 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (1091) ~ (all_0_47_47 = e3) % 57.13/23.11 | (884) all_0_49_49 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (884) can reduce 525 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (407) ~ (all_0_44_44 = e3) % 57.13/23.11 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (1899), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (516) all_0_42_42 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (516) can reduce 198 to: % 57.13/23.11 | (2538) ~ (all_0_47_47 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 2538 yields: % 57.13/23.11 | (1091) ~ (all_0_47_47 = e3) % 57.13/23.11 | % 57.13/23.11 | Equations (516) can reduce 1890 to: % 57.13/23.11 | (277) ~ (e4 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 277 yields: % 57.13/23.11 | (188) ~ (e4 = e3) % 57.13/23.11 | % 57.13/23.11 | Equations (516) can reduce 51 to: % 57.13/23.11 | (212) ~ (e3 = e2) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (537), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (884) all_0_49_49 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (884) can reduce 119 to: % 57.13/23.11 | (275) ~ (all_0_58_58 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 275 yields: % 57.13/23.11 | (276) ~ (all_0_58_58 = e3) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (10171), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (1105) all_0_47_47 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (1105) can reduce 252 to: % 57.13/23.11 | (327) ~ (e4 = e2) % 57.13/23.11 | % 57.13/23.11 | Simplifying 327 yields: % 57.13/23.11 | (48) ~ (e4 = e2) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (163), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (565) all_0_52_52 = e4 % 57.13/23.11 | % 57.13/23.11 | Combining equations (352,565) yields a new equation: % 57.13/23.11 | (323) e4 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (323) can reduce 48 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (780) ~ (all_0_52_52 = e4) % 57.13/23.11 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (781), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (789), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (790), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (791), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (792), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (793) yields: % 57.13/23.11 | (794) all_0_41_41 = e0 % 57.13/23.11 | (795) all_0_58_58 = e3 % 57.13/23.11 | (407) ~ (all_0_44_44 = e3) % 57.13/23.11 | % 57.13/23.11 | Equations (795) can reduce 276 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (800) yields: % 57.13/23.11 | (794) all_0_41_41 = e0 % 57.13/23.11 | (795) all_0_58_58 = e3 % 57.13/23.11 | (803) ~ (all_0_55_55 = e0) % 57.13/23.11 | % 57.13/23.11 | Equations (795) can reduce 276 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (807) yields: % 57.13/23.11 | (654) all_0_47_47 = e1 % 57.13/23.11 | (352) all_0_52_52 = e2 % 57.13/23.11 | (810) ~ (all_0_48_48 = e2) % 57.13/23.11 | % 57.13/23.11 | Combining equations (654,1105) yields a new equation: % 57.13/23.11 | (617) e2 = e1 % 57.13/23.11 | % 57.13/23.11 | Equations (617) can reduce 122 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (813) yields: % 57.13/23.11 | (654) all_0_47_47 = e1 % 57.13/23.11 | (352) all_0_52_52 = e2 % 57.13/23.11 | (464) ~ (all_0_51_51 = e1) % 57.13/23.11 | % 57.13/23.11 | Combining equations (654,1105) yields a new equation: % 57.13/23.11 | (617) e2 = e1 % 57.13/23.11 | % 57.13/23.11 | Equations (617) can reduce 122 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (819) yields: % 57.13/23.11 | (674) all_0_47_47 = e0 % 57.13/23.11 | (624) all_0_58_58 = e2 % 57.13/23.11 | (340) ~ (all_0_49_49 = e2) % 57.13/23.11 | % 57.13/23.11 | Combining equations (674,1105) yields a new equation: % 57.13/23.11 | (330) e2 = e0 % 57.13/23.11 | % 57.13/23.11 | Equations (330) can reduce 128 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.13/23.11 | % 57.13/23.11 | Applying alpha-rule on (825) yields: % 57.13/23.11 | (674) all_0_47_47 = e0 % 57.13/23.11 | (624) all_0_58_58 = e2 % 57.13/23.11 | (828) ~ (all_0_56_56 = e0) % 57.13/23.11 | % 57.13/23.11 | Combining equations (674,1105) yields a new equation: % 57.13/23.11 | (330) e2 = e0 % 57.13/23.11 | % 57.13/23.11 | Equations (330) can reduce 128 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (338) ~ (all_0_47_47 = e2) % 57.13/23.11 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (377), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (583) all_0_49_49 = e2 % 57.13/23.11 | % 57.13/23.11 | Combining equations (884,583) yields a new equation: % 57.13/23.11 | (661) e3 = e2 % 57.13/23.11 | % 57.13/23.11 | Simplifying 661 yields: % 57.13/23.11 | (662) e3 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (662) can reduce 212 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (340) ~ (all_0_49_49 = e2) % 57.13/23.11 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (884) can reduce 340 to: % 57.13/23.11 | (212) ~ (e3 = e2) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (10761), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (335) all_0_48_48 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (335) can reduce 810 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (810) ~ (all_0_48_48 = e2) % 57.13/23.11 | (583) all_0_49_49 = e2 % 57.13/23.11 | % 57.13/23.11 | Combining equations (884,583) yields a new equation: % 57.13/23.11 | (661) e3 = e2 % 57.13/23.11 | % 57.13/23.11 | Simplifying 661 yields: % 57.13/23.11 | (662) e3 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (662) can reduce 212 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (525) ~ (all_0_49_49 = e3) % 57.13/23.11 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (78), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (423) all_0_45_45 = e3 % 57.13/23.11 | % 57.13/23.11 | Combining equations (248,423) yields a new equation: % 57.13/23.11 | (424) e4 = e3 % 57.13/23.11 | % 57.13/23.11 | Simplifying 424 yields: % 57.13/23.11 | (425) e4 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (425) can reduce 188 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (427) ~ (all_0_45_45 = e3) % 57.13/23.11 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (428), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (1557) all_0_46_46 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (1557) can reduce 409 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (409) ~ (all_0_46_46 = e3) % 57.13/23.11 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (1561), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (522) all_0_47_47 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (522) can reduce 1091 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (1091) ~ (all_0_47_47 = e3) % 57.13/23.11 | (884) all_0_49_49 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (884) can reduce 525 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (405) ~ (all_0_42_42 = e3) % 57.13/23.11 | (532) all_0_44_44 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (532) can reduce 407 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (411) ~ (all_0_50_50 = e3) % 57.13/23.11 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (241), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (378) all_0_50_50 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (378) can reduce 302 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (302) ~ (all_0_50_50 = e2) % 57.13/23.11 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (228), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (335) all_0_48_48 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (335) can reduce 810 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (810) ~ (all_0_48_48 = e2) % 57.13/23.11 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (130), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (430) all_0_43_43 = e1 % 57.13/23.11 | % 57.13/23.11 | Combining equations (430,396) yields a new equation: % 57.13/23.11 | (630) e4 = e1 % 57.13/23.11 | % 57.13/23.11 | Equations (630) can reduce 110 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (433) ~ (all_0_43_43 = e1) % 57.13/23.11 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 57.13/23.11 | % 57.13/23.11 | Equations (396) can reduce 433 to: % 57.13/23.11 | (110) ~ (e4 = e1) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (144), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (403) all_0_41_41 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (403) can reduce 214 to: % 57.13/23.11 | (404) ~ (all_0_42_42 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 404 yields: % 57.13/23.11 | (405) ~ (all_0_42_42 = e3) % 57.13/23.11 | % 57.13/23.11 | Equations (403) can reduce 149 to: % 57.13/23.11 | (406) ~ (all_0_44_44 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 406 yields: % 57.13/23.11 | (407) ~ (all_0_44_44 = e3) % 57.13/23.11 | % 57.13/23.11 | Equations (403) can reduce 43 to: % 57.13/23.11 | (408) ~ (all_0_46_46 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 408 yields: % 57.13/23.11 | (409) ~ (all_0_46_46 = e3) % 57.13/23.11 | % 57.13/23.11 | Equations (403) can reduce 221 to: % 57.13/23.11 | (410) ~ (all_0_50_50 = e3) % 57.13/23.11 | % 57.13/23.11 | Simplifying 410 yields: % 57.13/23.11 | (411) ~ (all_0_50_50 = e3) % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (165), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (794) all_0_41_41 = e0 % 57.13/23.11 | % 57.13/23.11 | Combining equations (794,403) yields a new equation: % 57.13/23.11 | (676) e3 = e0 % 57.13/23.11 | % 57.13/23.11 | Equations (676) can reduce 80 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (357) ~ (all_0_41_41 = e0) % 57.13/23.11 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (12), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (442) all_0_57_57 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (442) can reduce 344 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (344) ~ (all_0_57_57 = e2) % 57.13/23.11 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (26), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (446) all_0_44_44 = e4 % 57.13/23.11 | % 57.13/23.11 | Equations (446) can reduce 1390 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (1390) ~ (all_0_44_44 = e4) % 57.13/23.11 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (180), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (516) all_0_42_42 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (516) can reduce 405 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (405) ~ (all_0_42_42 = e3) % 57.13/23.11 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (189), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (532) all_0_44_44 = e3 % 57.13/23.11 | % 57.13/23.11 | Equations (532) can reduce 407 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (407) ~ (all_0_44_44 = e3) % 57.13/23.11 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (196), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (607) all_0_53_53 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (607) can reduce 509 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (509) ~ (all_0_53_53 = e2) % 57.13/23.11 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (7), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (504) all_0_51_51 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (504) can reduce 1099 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (1099) ~ (all_0_51_51 = e2) % 57.13/23.11 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (123), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (1794) all_0_46_46 = e2 % 57.13/23.11 | % 57.13/23.11 | Equations (1794) can reduce 300 to: % 57.13/23.11 | (266) $false % 57.13/23.11 | % 57.13/23.11 |-The branch is then unsatisfiable % 57.13/23.11 |-Branch two: % 57.13/23.11 | (300) ~ (all_0_46_46 = e2) % 57.13/23.11 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.13/23.11 | % 57.13/23.11 +-Applying beta-rule and splitting (231), into two cases. % 57.13/23.11 |-Branch one: % 57.13/23.11 | (775) all_0_50_50 = e4 % 57.13/23.11 | % 57.13/23.11 | Equations (775) can reduce 35 to: % 57.13/23.11 | (250) ~ (all_0_46_46 = e4) % 57.13/23.11 | % 57.13/23.11 | Equations (775) can reduce 190 to: % 57.13/23.11 | (1452) ~ (all_0_53_53 = e4) % 57.13/23.11 | % 57.13/23.11 | Simplifying 1452 yields: % 57.13/23.12 | (1453) ~ (all_0_53_53 = e4) % 57.13/23.12 | % 57.13/23.12 | Equations (775) can reduce 121 to: % 57.13/23.12 | (49) ~ (e4 = e0) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (164), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (471) all_0_39_39 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (471) can reduce 176 to: % 57.13/23.12 | (7398) ~ (all_0_40_40 = e4) % 57.13/23.12 | % 57.13/23.12 | Simplifying 7398 yields: % 57.13/23.12 | (447) ~ (all_0_40_40 = e4) % 57.13/23.12 | % 57.13/23.12 | Equations (471) can reduce 79 to: % 57.13/23.12 | (251) ~ (all_0_47_47 = e4) % 57.13/23.12 | % 57.13/23.12 | Simplifying 251 yields: % 57.13/23.12 | (252) ~ (all_0_47_47 = e4) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (150), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (1378) all_0_40_40 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (1378) can reduce 447 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (447) ~ (all_0_40_40 = e4) % 57.13/23.12 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (2271), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (446) all_0_44_44 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (446) can reduce 1390 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (1390) ~ (all_0_44_44 = e4) % 57.13/23.12 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (7998), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (974) all_0_49_49 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (974) can reduce 256 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (256) ~ (all_0_49_49 = e4) % 57.13/23.12 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (8013), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (1298) all_0_53_53 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (1298) can reduce 1453 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (1453) ~ (all_0_53_53 = e4) % 57.13/23.12 | (910) all_0_58_58 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (910) can reduce 178 to: % 57.13/23.12 | (447) ~ (all_0_40_40 = e4) % 57.13/23.12 | % 57.13/23.12 | Equations (910) can reduce 119 to: % 57.13/23.12 | (256) ~ (all_0_49_49 = e4) % 57.13/23.12 | % 57.13/23.12 | Equations (910) can reduce 44 to: % 57.13/23.12 | (477) ~ (all_0_56_56 = e4) % 57.13/23.12 | % 57.13/23.12 | Equations (910) can reduce 148 to: % 57.13/23.12 | (839) ~ (all_0_57_57 = e4) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (333), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (480) all_0_39_39 = e0 % 57.13/23.12 | % 57.13/23.12 | Combining equations (480,471) yields a new equation: % 57.13/23.12 | (397) e4 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (397) can reduce 49 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (484) ~ (all_0_39_39 = e0) % 57.13/23.12 | (485) all_0_40_40 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (485) can reduce 143 to: % 57.13/23.12 | (359) ~ (all_0_44_44 = e0) % 57.13/23.12 | % 57.13/23.12 | Simplifying 359 yields: % 57.13/23.12 | (360) ~ (all_0_44_44 = e0) % 57.13/23.12 | % 57.13/23.12 | Equations (485) can reduce 447 to: % 57.13/23.12 | (401) ~ (e4 = e0) % 57.13/23.12 | % 57.13/23.12 | Simplifying 401 yields: % 57.13/23.12 | (49) ~ (e4 = e0) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (389), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (833) all_0_56_56 = e2 % 57.13/23.12 | % 57.13/23.12 | Equations (833) can reduce 477 to: % 57.13/23.12 | (327) ~ (e4 = e2) % 57.13/23.12 | % 57.13/23.12 | Simplifying 327 yields: % 57.13/23.12 | (48) ~ (e4 = e2) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (377), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (583) all_0_49_49 = e2 % 57.13/23.12 | % 57.13/23.12 | Equations (583) can reduce 185 to: % 57.13/23.12 | (810) ~ (all_0_48_48 = e2) % 57.13/23.12 | % 57.13/23.12 | Equations (583) can reduce 256 to: % 57.13/23.12 | (327) ~ (e4 = e2) % 57.13/23.12 | % 57.13/23.12 | Simplifying 327 yields: % 57.13/23.12 | (48) ~ (e4 = e2) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (163), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (565) all_0_52_52 = e4 % 57.13/23.12 | % 57.13/23.12 | Combining equations (352,565) yields a new equation: % 57.13/23.12 | (323) e4 = e2 % 57.13/23.12 | % 57.13/23.12 | Equations (323) can reduce 48 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (780) ~ (all_0_52_52 = e4) % 57.13/23.12 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.13/23.12 | % 57.13/23.12 | Equations (352) can reduce 780 to: % 57.13/23.12 | (327) ~ (e4 = e2) % 57.13/23.12 | % 57.13/23.12 | Simplifying 327 yields: % 57.13/23.12 | (48) ~ (e4 = e2) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (1391), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (1414) all_0_44_44 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (1414) can reduce 360 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (360) ~ (all_0_44_44 = e0) % 57.13/23.12 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (6761), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (559) all_0_42_42 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (559) can reduce 405 to: % 57.13/23.12 | (541) ~ (e3 = e0) % 57.13/23.12 | % 57.13/23.12 | Simplifying 541 yields: % 57.13/23.12 | (80) ~ (e3 = e0) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (781), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (789), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (790), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (791), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (792), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.13/23.12 | % 57.13/23.12 | Applying alpha-rule on (793) yields: % 57.13/23.12 | (794) all_0_41_41 = e0 % 57.13/23.12 | (795) all_0_58_58 = e3 % 57.13/23.12 | (407) ~ (all_0_44_44 = e3) % 57.13/23.12 | % 57.13/23.12 | Combining equations (794,403) yields a new equation: % 57.13/23.12 | (676) e3 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (676) can reduce 80 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.13/23.12 | % 57.13/23.12 | Applying alpha-rule on (800) yields: % 57.13/23.12 | (794) all_0_41_41 = e0 % 57.13/23.12 | (795) all_0_58_58 = e3 % 57.13/23.12 | (803) ~ (all_0_55_55 = e0) % 57.13/23.12 | % 57.13/23.12 | Combining equations (794,403) yields a new equation: % 57.13/23.12 | (676) e3 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (676) can reduce 80 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.13/23.12 | % 57.13/23.12 | Applying alpha-rule on (807) yields: % 57.13/23.12 | (654) all_0_47_47 = e1 % 57.13/23.12 | (352) all_0_52_52 = e2 % 57.13/23.12 | (810) ~ (all_0_48_48 = e2) % 57.13/23.12 | % 57.13/23.12 | Equations (654) can reduce 19 to: % 57.13/23.12 | (549) ~ (all_0_46_46 = e1) % 57.13/23.12 | % 57.13/23.12 | Equations (654) can reduce 114 to: % 57.13/23.12 | (11581) ~ (all_0_48_48 = e1) % 57.13/23.12 | % 57.13/23.12 | Simplifying 11581 yields: % 57.13/23.12 | (619) ~ (all_0_48_48 = e1) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (10218), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (943) all_0_48_48 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (943) can reduce 254 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (254) ~ (all_0_48_48 = e4) % 57.13/23.12 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (10222), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (1279) all_0_48_48 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (1279) can reduce 239 to: % 57.13/23.12 | (363) ~ (all_0_57_57 = e0) % 57.13/23.12 | % 57.13/23.12 | Simplifying 363 yields: % 57.13/23.12 | (364) ~ (all_0_57_57 = e0) % 57.13/23.12 | % 57.13/23.12 | Equations (1279) can reduce 254 to: % 57.13/23.12 | (401) ~ (e4 = e0) % 57.13/23.12 | % 57.13/23.12 | Simplifying 401 yields: % 57.13/23.12 | (49) ~ (e4 = e0) % 57.13/23.12 | % 57.13/23.12 | Equations (1279) can reduce 810 to: % 57.13/23.12 | (365) ~ (e2 = e0) % 57.13/23.12 | % 57.13/23.12 | Simplifying 365 yields: % 57.13/23.12 | (128) ~ (e2 = e0) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (125), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (858) all_0_55_55 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (858) can reduce 58 to: % 57.13/23.12 | (831) ~ (all_0_46_46 = e0) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (1797), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (770) all_0_46_46 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (770) can reduce 250 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (250) ~ (all_0_46_46 = e4) % 57.13/23.12 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (1801), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (538) all_0_46_46 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (538) can reduce 831 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (831) ~ (all_0_46_46 = e0) % 57.13/23.12 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (1838), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (545) all_0_46_46 = e1 % 57.13/23.12 | % 57.13/23.12 | Equations (545) can reduce 549 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (549) ~ (all_0_46_46 = e1) % 57.13/23.12 | (1557) all_0_46_46 = e3 % 57.13/23.12 | % 57.13/23.12 | Equations (1557) can reduce 409 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (803) ~ (all_0_55_55 = e0) % 57.13/23.12 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (863), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (679) all_0_56_56 = e0 % 57.13/23.12 | % 57.13/23.12 | Combining equations (833,679) yields a new equation: % 57.13/23.12 | (391) e2 = e0 % 57.13/23.12 | % 57.13/23.12 | Simplifying 391 yields: % 57.13/23.12 | (330) e2 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (330) can reduce 128 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (828) ~ (all_0_56_56 = e0) % 57.13/23.12 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (445), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (871) all_0_57_57 = e4 % 57.13/23.12 | % 57.13/23.12 | Equations (871) can reduce 839 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (839) ~ (all_0_57_57 = e4) % 57.13/23.12 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (874), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (875) all_0_57_57 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (875) can reduce 364 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (364) ~ (all_0_57_57 = e0) % 57.13/23.12 | (647) all_0_57_57 = e1 % 57.13/23.12 | % 57.13/23.12 | Equations (647) can reduce 364 to: % 57.13/23.12 | (233) ~ (e1 = e0) % 57.13/23.12 | % 57.13/23.12 +-Applying beta-rule and splitting (924), into two cases. % 57.13/23.12 |-Branch one: % 57.13/23.12 | (875) all_0_57_57 = e0 % 57.13/23.12 | % 57.13/23.12 | Combining equations (647,875) yields a new equation: % 57.13/23.12 | (546) e1 = e0 % 57.13/23.12 | % 57.13/23.12 | Simplifying 546 yields: % 57.13/23.12 | (431) e1 = e0 % 57.13/23.12 | % 57.13/23.12 | Equations (431) can reduce 233 to: % 57.13/23.12 | (266) $false % 57.13/23.12 | % 57.13/23.12 |-The branch is then unsatisfiable % 57.13/23.12 |-Branch two: % 57.13/23.12 | (364) ~ (all_0_57_57 = e0) % 57.13/23.12 | (914) all_0_58_58 = e0 % 57.13/23.12 | % 57.13/23.12 | Combining equations (914,910) yields a new equation: % 57.13/23.12 | (397) e4 = e0 % 57.13/23.12 | % 57.13/23.13 | Equations (397) can reduce 49 to: % 57.13/23.13 | (266) $false % 57.13/23.13 | % 57.13/23.13 |-The branch is then unsatisfiable % 57.13/23.13 |-Branch two: % 57.13/23.13 | (1283) ~ (all_0_48_48 = e0) % 57.13/23.13 | (615) all_0_48_48 = e1 % 57.13/23.13 | % 57.13/23.13 | Equations (615) can reduce 619 to: % 57.13/23.13 | (266) $false % 57.13/23.13 | % 57.13/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.16/23.13 | % 57.16/23.13 | Applying alpha-rule on (813) yields: % 57.16/23.13 | (654) all_0_47_47 = e1 % 57.16/23.13 | (352) all_0_52_52 = e2 % 57.16/23.13 | (464) ~ (all_0_51_51 = e1) % 57.16/23.13 | % 57.16/23.13 | Equations (654) can reduce 19 to: % 57.16/23.13 | (549) ~ (all_0_46_46 = e1) % 57.16/23.13 | % 57.16/23.13 | Equations (654) can reduce 114 to: % 57.16/23.13 | (11581) ~ (all_0_48_48 = e1) % 57.16/23.13 | % 57.16/23.13 | Simplifying 11581 yields: % 57.16/23.13 | (619) ~ (all_0_48_48 = e1) % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (10218), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (943) all_0_48_48 = e4 % 57.16/23.13 | % 57.16/23.13 | Equations (943) can reduce 254 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (254) ~ (all_0_48_48 = e4) % 57.16/23.13 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (10222), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (1279) all_0_48_48 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (1279) can reduce 239 to: % 57.16/23.13 | (363) ~ (all_0_57_57 = e0) % 57.16/23.13 | % 57.16/23.13 | Simplifying 363 yields: % 57.16/23.13 | (364) ~ (all_0_57_57 = e0) % 57.16/23.13 | % 57.16/23.13 | Equations (1279) can reduce 254 to: % 57.16/23.13 | (401) ~ (e4 = e0) % 57.16/23.13 | % 57.16/23.13 | Simplifying 401 yields: % 57.16/23.13 | (49) ~ (e4 = e0) % 57.16/23.13 | % 57.16/23.13 | Equations (1279) can reduce 810 to: % 57.16/23.13 | (365) ~ (e2 = e0) % 57.16/23.13 | % 57.16/23.13 | Simplifying 365 yields: % 57.16/23.13 | (128) ~ (e2 = e0) % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (125), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (858) all_0_55_55 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (858) can reduce 58 to: % 57.16/23.13 | (831) ~ (all_0_46_46 = e0) % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (1797), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (770) all_0_46_46 = e4 % 57.16/23.13 | % 57.16/23.13 | Equations (770) can reduce 250 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (250) ~ (all_0_46_46 = e4) % 57.16/23.13 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (1801), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (538) all_0_46_46 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (538) can reduce 831 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (831) ~ (all_0_46_46 = e0) % 57.16/23.13 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (1838), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (545) all_0_46_46 = e1 % 57.16/23.13 | % 57.16/23.13 | Equations (545) can reduce 549 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (549) ~ (all_0_46_46 = e1) % 57.16/23.13 | (1557) all_0_46_46 = e3 % 57.16/23.13 | % 57.16/23.13 | Equations (1557) can reduce 409 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (803) ~ (all_0_55_55 = e0) % 57.16/23.13 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (863), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (679) all_0_56_56 = e0 % 57.16/23.13 | % 57.16/23.13 | Combining equations (833,679) yields a new equation: % 57.16/23.13 | (391) e2 = e0 % 57.16/23.13 | % 57.16/23.13 | Simplifying 391 yields: % 57.16/23.13 | (330) e2 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (330) can reduce 128 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (828) ~ (all_0_56_56 = e0) % 57.16/23.13 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (445), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (871) all_0_57_57 = e4 % 57.16/23.13 | % 57.16/23.13 | Equations (871) can reduce 839 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (839) ~ (all_0_57_57 = e4) % 57.16/23.13 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (874), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (875) all_0_57_57 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (875) can reduce 364 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (364) ~ (all_0_57_57 = e0) % 57.16/23.13 | (647) all_0_57_57 = e1 % 57.16/23.13 | % 57.16/23.13 | Equations (647) can reduce 364 to: % 57.16/23.13 | (233) ~ (e1 = e0) % 57.16/23.13 | % 57.16/23.13 +-Applying beta-rule and splitting (924), into two cases. % 57.16/23.13 |-Branch one: % 57.16/23.13 | (875) all_0_57_57 = e0 % 57.16/23.13 | % 57.16/23.13 | Combining equations (647,875) yields a new equation: % 57.16/23.13 | (546) e1 = e0 % 57.16/23.13 | % 57.16/23.13 | Simplifying 546 yields: % 57.16/23.13 | (431) e1 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (431) can reduce 233 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (364) ~ (all_0_57_57 = e0) % 57.16/23.13 | (914) all_0_58_58 = e0 % 57.16/23.13 | % 57.16/23.13 | Combining equations (914,910) yields a new equation: % 57.16/23.13 | (397) e4 = e0 % 57.16/23.13 | % 57.16/23.13 | Equations (397) can reduce 49 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.16/23.13 |-Branch two: % 57.16/23.13 | (1283) ~ (all_0_48_48 = e0) % 57.16/23.13 | (615) all_0_48_48 = e1 % 57.16/23.13 | % 57.16/23.13 | Equations (615) can reduce 619 to: % 57.16/23.13 | (266) $false % 57.16/23.13 | % 57.16/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.13 | % 57.18/23.13 | Applying alpha-rule on (819) yields: % 57.18/23.13 | (674) all_0_47_47 = e0 % 57.18/23.13 | (624) all_0_58_58 = e2 % 57.18/23.13 | (340) ~ (all_0_49_49 = e2) % 57.18/23.13 | % 57.18/23.13 | Combining equations (910,624) yields a new equation: % 57.18/23.13 | (322) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Simplifying 322 yields: % 57.18/23.13 | (323) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (323) can reduce 48 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.13 | % 57.18/23.13 | Applying alpha-rule on (825) yields: % 57.18/23.13 | (674) all_0_47_47 = e0 % 57.18/23.13 | (624) all_0_58_58 = e2 % 57.18/23.13 | (828) ~ (all_0_56_56 = e0) % 57.18/23.13 | % 57.18/23.13 | Combining equations (910,624) yields a new equation: % 57.18/23.13 | (322) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Simplifying 322 yields: % 57.18/23.13 | (323) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (323) can reduce 48 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (358) ~ (all_0_42_42 = e0) % 57.18/23.13 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (1417), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (635) all_0_44_44 = e1 % 57.18/23.13 | % 57.18/23.13 | Equations (635) can reduce 360 to: % 57.18/23.13 | (233) ~ (e1 = e0) % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (104), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (480) all_0_39_39 = e0 % 57.18/23.13 | % 57.18/23.13 | Combining equations (480,471) yields a new equation: % 57.18/23.13 | (397) e4 = e0 % 57.18/23.13 | % 57.18/23.13 | Equations (397) can reduce 49 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (484) ~ (all_0_39_39 = e0) % 57.18/23.13 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.18/23.13 | % 57.18/23.13 | Equations (471) can reduce 484 to: % 57.18/23.13 | (49) ~ (e4 = e0) % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (6766), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (356) all_0_43_43 = e0 % 57.18/23.13 | % 57.18/23.13 | Combining equations (356,396) yields a new equation: % 57.18/23.13 | (397) e4 = e0 % 57.18/23.13 | % 57.18/23.13 | Equations (397) can reduce 49 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (5470) ~ (all_0_43_43 = e0) % 57.18/23.13 | (1414) all_0_44_44 = e0 % 57.18/23.13 | % 57.18/23.13 | Combining equations (1414,635) yields a new equation: % 57.18/23.13 | (431) e1 = e0 % 57.18/23.13 | % 57.18/23.13 | Equations (431) can reduce 233 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (639) ~ (all_0_44_44 = e1) % 57.18/23.13 | (532) all_0_44_44 = e3 % 57.18/23.13 | % 57.18/23.13 | Equations (532) can reduce 407 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (340) ~ (all_0_49_49 = e2) % 57.18/23.13 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (565) all_0_52_52 = e4 % 57.18/23.13 | % 57.18/23.13 | Combining equations (352,565) yields a new equation: % 57.18/23.13 | (323) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (323) can reduce 48 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (780) ~ (all_0_52_52 = e4) % 57.18/23.13 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.13 | % 57.18/23.13 | Equations (352) can reduce 780 to: % 57.18/23.13 | (327) ~ (e4 = e2) % 57.18/23.13 | % 57.18/23.13 | Simplifying 327 yields: % 57.18/23.13 | (48) ~ (e4 = e2) % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (614), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (607) all_0_53_53 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (607) can reduce 509 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (509) ~ (all_0_53_53 = e2) % 57.18/23.13 | (624) all_0_58_58 = e2 % 57.18/23.13 | % 57.18/23.13 | Combining equations (910,624) yields a new equation: % 57.18/23.13 | (322) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Simplifying 322 yields: % 57.18/23.13 | (323) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (323) can reduce 48 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (511) ~ (all_0_56_56 = e2) % 57.18/23.13 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (385), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (1105) all_0_47_47 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (1105) can reduce 252 to: % 57.18/23.13 | (327) ~ (e4 = e2) % 57.18/23.13 | % 57.18/23.13 | Simplifying 327 yields: % 57.18/23.13 | (48) ~ (e4 = e2) % 57.18/23.13 | % 57.18/23.13 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.13 |-Branch one: % 57.18/23.13 | (565) all_0_52_52 = e4 % 57.18/23.13 | % 57.18/23.13 | Combining equations (565,352) yields a new equation: % 57.18/23.13 | (322) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Simplifying 322 yields: % 57.18/23.13 | (323) e4 = e2 % 57.18/23.13 | % 57.18/23.13 | Equations (323) can reduce 48 to: % 57.18/23.13 | (266) $false % 57.18/23.13 | % 57.18/23.13 |-The branch is then unsatisfiable % 57.18/23.13 |-Branch two: % 57.18/23.13 | (780) ~ (all_0_52_52 = e4) % 57.18/23.13 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.13 | % 57.18/23.13 | Equations (352) can reduce 780 to: % 57.18/23.13 | (327) ~ (e4 = e2) % 57.18/23.14 | % 57.18/23.14 | Simplifying 327 yields: % 57.18/23.14 | (48) ~ (e4 = e2) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1709), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (442) all_0_57_57 = e2 % 57.18/23.14 | % 57.18/23.14 | Equations (442) can reduce 344 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (344) ~ (all_0_57_57 = e2) % 57.18/23.14 | (624) all_0_58_58 = e2 % 57.18/23.14 | % 57.18/23.14 | Combining equations (624,910) yields a new equation: % 57.18/23.14 | (323) e4 = e2 % 57.18/23.14 | % 57.18/23.14 | Equations (323) can reduce 48 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (338) ~ (all_0_47_47 = e2) % 57.18/23.14 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1108), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (504) all_0_51_51 = e2 % 57.18/23.14 | % 57.18/23.14 | Equations (504) can reduce 1099 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (1099) ~ (all_0_51_51 = e2) % 57.18/23.14 | (833) all_0_56_56 = e2 % 57.18/23.14 | % 57.18/23.14 | Equations (833) can reduce 511 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.14 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (326), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (471) all_0_39_39 = e4 % 57.18/23.14 | % 57.18/23.14 | Equations (471) can reduce 1377 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.14 | (1378) all_0_40_40 = e4 % 57.18/23.14 | % 57.18/23.14 | Equations (1378) can reduce 296 to: % 57.18/23.14 | (48) ~ (e4 = e2) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (333), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (480) all_0_39_39 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (480) can reduce 79 to: % 57.18/23.14 | (1402) ~ (all_0_47_47 = e0) % 57.18/23.14 | % 57.18/23.14 | Simplifying 1402 yields: % 57.18/23.14 | (678) ~ (all_0_47_47 = e0) % 57.18/23.14 | % 57.18/23.14 | Equations (480) can reduce 246 to: % 57.18/23.14 | (541) ~ (e3 = e0) % 57.18/23.14 | % 57.18/23.14 | Simplifying 541 yields: % 57.18/23.14 | (80) ~ (e3 = e0) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (565) all_0_52_52 = e4 % 57.18/23.14 | % 57.18/23.14 | Combining equations (352,565) yields a new equation: % 57.18/23.14 | (323) e4 = e2 % 57.18/23.14 | % 57.18/23.14 | Equations (323) can reduce 48 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (780) ~ (all_0_52_52 = e4) % 57.18/23.14 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (781), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (789), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (790), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (791), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (792), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.18/23.14 | % 57.18/23.14 | Applying alpha-rule on (793) yields: % 57.18/23.14 | (794) all_0_41_41 = e0 % 57.18/23.14 | (795) all_0_58_58 = e3 % 57.18/23.14 | (407) ~ (all_0_44_44 = e3) % 57.18/23.14 | % 57.18/23.14 | Combining equations (403,794) yields a new equation: % 57.18/23.14 | (675) e3 = e0 % 57.18/23.14 | % 57.18/23.14 | Simplifying 675 yields: % 57.18/23.14 | (676) e3 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (676) can reduce 80 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.18/23.14 | % 57.18/23.14 | Applying alpha-rule on (800) yields: % 57.18/23.14 | (794) all_0_41_41 = e0 % 57.18/23.14 | (795) all_0_58_58 = e3 % 57.18/23.14 | (803) ~ (all_0_55_55 = e0) % 57.18/23.14 | % 57.18/23.14 | Combining equations (403,794) yields a new equation: % 57.18/23.14 | (675) e3 = e0 % 57.18/23.14 | % 57.18/23.14 | Simplifying 675 yields: % 57.18/23.14 | (676) e3 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (676) can reduce 80 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.18/23.14 | % 57.18/23.14 | Applying alpha-rule on (807) yields: % 57.18/23.14 | (654) all_0_47_47 = e1 % 57.18/23.14 | (352) all_0_52_52 = e2 % 57.18/23.14 | (810) ~ (all_0_48_48 = e2) % 57.18/23.14 | % 57.18/23.14 | Equations (654) can reduce 19 to: % 57.18/23.14 | (549) ~ (all_0_46_46 = e1) % 57.18/23.14 | % 57.18/23.14 | Equations (654) can reduce 114 to: % 57.18/23.14 | (11581) ~ (all_0_48_48 = e1) % 57.18/23.14 | % 57.18/23.14 | Simplifying 11581 yields: % 57.18/23.14 | (619) ~ (all_0_48_48 = e1) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1797), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (770) all_0_46_46 = e4 % 57.18/23.14 | % 57.18/23.14 | Equations (770) can reduce 250 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (250) ~ (all_0_46_46 = e4) % 57.18/23.14 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1801), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (538) all_0_46_46 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (538) can reduce 30 to: % 57.18/23.14 | (10200) ~ (all_0_48_48 = e0) % 57.18/23.14 | % 57.18/23.14 | Simplifying 10200 yields: % 57.18/23.14 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (5471), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (1279) all_0_48_48 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (1279) can reduce 1283 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.14 | (875) all_0_57_57 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (875) can reduce 239 to: % 57.18/23.14 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (10218), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (943) all_0_48_48 = e4 % 57.18/23.14 | % 57.18/23.14 | Equations (943) can reduce 254 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (254) ~ (all_0_48_48 = e4) % 57.18/23.14 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (10222), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (1279) all_0_48_48 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (1279) can reduce 1283 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.14 | (615) all_0_48_48 = e1 % 57.18/23.14 | % 57.18/23.14 | Equations (615) can reduce 619 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (831) ~ (all_0_46_46 = e0) % 57.18/23.14 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1838), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (545) all_0_46_46 = e1 % 57.18/23.14 | % 57.18/23.14 | Equations (545) can reduce 549 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (549) ~ (all_0_46_46 = e1) % 57.18/23.14 | (1557) all_0_46_46 = e3 % 57.18/23.14 | % 57.18/23.14 | Equations (1557) can reduce 409 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.18/23.14 | % 57.18/23.14 | Applying alpha-rule on (813) yields: % 57.18/23.14 | (654) all_0_47_47 = e1 % 57.18/23.14 | (352) all_0_52_52 = e2 % 57.18/23.14 | (464) ~ (all_0_51_51 = e1) % 57.18/23.14 | % 57.18/23.14 | Equations (654) can reduce 19 to: % 57.18/23.14 | (549) ~ (all_0_46_46 = e1) % 57.18/23.14 | % 57.18/23.14 | Equations (654) can reduce 114 to: % 57.18/23.14 | (11581) ~ (all_0_48_48 = e1) % 57.18/23.14 | % 57.18/23.14 | Simplifying 11581 yields: % 57.18/23.14 | (619) ~ (all_0_48_48 = e1) % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1797), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (770) all_0_46_46 = e4 % 57.18/23.14 | % 57.18/23.14 | Equations (770) can reduce 250 to: % 57.18/23.14 | (266) $false % 57.18/23.14 | % 57.18/23.14 |-The branch is then unsatisfiable % 57.18/23.14 |-Branch two: % 57.18/23.14 | (250) ~ (all_0_46_46 = e4) % 57.18/23.14 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.18/23.14 | % 57.18/23.14 +-Applying beta-rule and splitting (1801), into two cases. % 57.18/23.14 |-Branch one: % 57.18/23.14 | (538) all_0_46_46 = e0 % 57.18/23.14 | % 57.18/23.14 | Equations (538) can reduce 30 to: % 57.18/23.14 | (10200) ~ (all_0_48_48 = e0) % 57.18/23.14 | % 57.18/23.14 | Simplifying 10200 yields: % 57.18/23.14 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.14 | % 57.18/23.15 +-Applying beta-rule and splitting (5471), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (1279) all_0_48_48 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (1279) can reduce 1283 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.15 | (875) all_0_57_57 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (875) can reduce 239 to: % 57.18/23.15 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (10218), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (943) all_0_48_48 = e4 % 57.18/23.15 | % 57.18/23.15 | Equations (943) can reduce 254 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (254) ~ (all_0_48_48 = e4) % 57.18/23.15 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (10222), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (1279) all_0_48_48 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (1279) can reduce 1283 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.15 | (615) all_0_48_48 = e1 % 57.18/23.15 | % 57.18/23.15 | Equations (615) can reduce 619 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (831) ~ (all_0_46_46 = e0) % 57.18/23.15 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (1838), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (545) all_0_46_46 = e1 % 57.18/23.15 | % 57.18/23.15 | Equations (545) can reduce 549 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (549) ~ (all_0_46_46 = e1) % 57.18/23.15 | (1557) all_0_46_46 = e3 % 57.18/23.15 | % 57.18/23.15 | Equations (1557) can reduce 409 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (819) yields: % 57.18/23.15 | (674) all_0_47_47 = e0 % 57.18/23.15 | (624) all_0_58_58 = e2 % 57.18/23.15 | (340) ~ (all_0_49_49 = e2) % 57.18/23.15 | % 57.18/23.15 | Equations (674) can reduce 678 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (825) yields: % 57.18/23.15 | (674) all_0_47_47 = e0 % 57.18/23.15 | (624) all_0_58_58 = e2 % 57.18/23.15 | (828) ~ (all_0_56_56 = e0) % 57.18/23.15 | % 57.18/23.15 | Equations (674) can reduce 678 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (484) ~ (all_0_39_39 = e0) % 57.18/23.15 | (485) all_0_40_40 = e0 % 57.18/23.15 | % 57.18/23.15 | Combining equations (485,1378) yields a new equation: % 57.18/23.15 | (397) e4 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (397) can reduce 49 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (566) ~ (all_0_50_50 = e4) % 57.18/23.15 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (422), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (775) all_0_50_50 = e4 % 57.18/23.15 | % 57.18/23.15 | Equations (775) can reduce 566 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (566) ~ (all_0_50_50 = e4) % 57.18/23.15 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (1444), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (601) all_0_50_50 = e1 % 57.18/23.15 | % 57.18/23.15 | Equations (601) can reduce 35 to: % 57.18/23.15 | (549) ~ (all_0_46_46 = e1) % 57.18/23.15 | % 57.18/23.15 | Equations (601) can reduce 302 to: % 57.18/23.15 | (604) ~ (e2 = e1) % 57.18/23.15 | % 57.18/23.15 | Simplifying 604 yields: % 57.18/23.15 | (122) ~ (e2 = e1) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (62), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (321) all_0_38_38 = e4 % 57.18/23.15 | % 57.18/23.15 | Combining equations (321,292) yields a new equation: % 57.18/23.15 | (322) e4 = e2 % 57.18/23.15 | % 57.18/23.15 | Simplifying 322 yields: % 57.18/23.15 | (323) e4 = e2 % 57.18/23.15 | % 57.18/23.15 | Equations (323) can reduce 48 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (325) ~ (all_0_38_38 = e4) % 57.18/23.15 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.18/23.15 | % 57.18/23.15 | Equations (292) can reduce 325 to: % 57.18/23.15 | (327) ~ (e4 = e2) % 57.18/23.15 | % 57.18/23.15 | Simplifying 327 yields: % 57.18/23.15 | (48) ~ (e4 = e2) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (1797), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (770) all_0_46_46 = e4 % 57.18/23.15 | % 57.18/23.15 | Equations (770) can reduce 250 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (250) ~ (all_0_46_46 = e4) % 57.18/23.15 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (1801), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (538) all_0_46_46 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (538) can reduce 19 to: % 57.18/23.15 | (1402) ~ (all_0_47_47 = e0) % 57.18/23.15 | % 57.18/23.15 | Simplifying 1402 yields: % 57.18/23.15 | (678) ~ (all_0_47_47 = e0) % 57.18/23.15 | % 57.18/23.15 | Equations (538) can reduce 30 to: % 57.18/23.15 | (10200) ~ (all_0_48_48 = e0) % 57.18/23.15 | % 57.18/23.15 | Simplifying 10200 yields: % 57.18/23.15 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.15 | % 57.18/23.15 | Equations (538) can reduce 549 to: % 57.18/23.15 | (435) ~ (e1 = e0) % 57.18/23.15 | % 57.18/23.15 | Simplifying 435 yields: % 57.18/23.15 | (233) ~ (e1 = e0) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (5471), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (1279) all_0_48_48 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (1279) can reduce 1283 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.15 | (875) all_0_57_57 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (875) can reduce 67 to: % 57.18/23.15 | (541) ~ (e3 = e0) % 57.18/23.15 | % 57.18/23.15 | Simplifying 541 yields: % 57.18/23.15 | (80) ~ (e3 = e0) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (434), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (615) all_0_48_48 = e1 % 57.18/23.15 | % 57.18/23.15 | Equations (615) can reduce 114 to: % 57.18/23.15 | (462) ~ (all_0_47_47 = e1) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (565) all_0_52_52 = e4 % 57.18/23.15 | % 57.18/23.15 | Combining equations (565,352) yields a new equation: % 57.18/23.15 | (322) e4 = e2 % 57.18/23.15 | % 57.18/23.15 | Simplifying 322 yields: % 57.18/23.15 | (323) e4 = e2 % 57.18/23.15 | % 57.18/23.15 | Equations (323) can reduce 48 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (780) ~ (all_0_52_52 = e4) % 57.18/23.15 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (781), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (789), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (790), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (791), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (792), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (793) yields: % 57.18/23.15 | (794) all_0_41_41 = e0 % 57.18/23.15 | (795) all_0_58_58 = e3 % 57.18/23.15 | (407) ~ (all_0_44_44 = e3) % 57.18/23.15 | % 57.18/23.15 | Combining equations (794,403) yields a new equation: % 57.18/23.15 | (676) e3 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (676) can reduce 80 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (800) yields: % 57.18/23.15 | (794) all_0_41_41 = e0 % 57.18/23.15 | (795) all_0_58_58 = e3 % 57.18/23.15 | (803) ~ (all_0_55_55 = e0) % 57.18/23.15 | % 57.18/23.15 | Combining equations (794,403) yields a new equation: % 57.18/23.15 | (676) e3 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (676) can reduce 80 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (807) yields: % 57.18/23.15 | (654) all_0_47_47 = e1 % 57.18/23.15 | (352) all_0_52_52 = e2 % 57.18/23.15 | (810) ~ (all_0_48_48 = e2) % 57.18/23.15 | % 57.18/23.15 | Equations (654) can reduce 462 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (813) yields: % 57.18/23.15 | (654) all_0_47_47 = e1 % 57.18/23.15 | (352) all_0_52_52 = e2 % 57.18/23.15 | (464) ~ (all_0_51_51 = e1) % 57.18/23.15 | % 57.18/23.15 | Equations (654) can reduce 462 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (819) yields: % 57.18/23.15 | (674) all_0_47_47 = e0 % 57.18/23.15 | (624) all_0_58_58 = e2 % 57.18/23.15 | (340) ~ (all_0_49_49 = e2) % 57.18/23.15 | % 57.18/23.15 | Equations (674) can reduce 678 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.15 | % 57.18/23.15 | Applying alpha-rule on (825) yields: % 57.18/23.15 | (674) all_0_47_47 = e0 % 57.18/23.15 | (624) all_0_58_58 = e2 % 57.18/23.15 | (828) ~ (all_0_56_56 = e0) % 57.18/23.15 | % 57.18/23.15 | Equations (674) can reduce 678 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (619) ~ (all_0_48_48 = e1) % 57.18/23.15 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (620), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (642) all_0_52_52 = e1 % 57.18/23.15 | % 57.18/23.15 | Combining equations (352,642) yields a new equation: % 57.18/23.15 | (616) e2 = e1 % 57.18/23.15 | % 57.18/23.15 | Simplifying 616 yields: % 57.18/23.15 | (617) e2 = e1 % 57.18/23.15 | % 57.18/23.15 | Equations (617) can reduce 122 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (646) ~ (all_0_52_52 = e1) % 57.18/23.15 | (647) all_0_57_57 = e1 % 57.18/23.15 | % 57.18/23.15 | Combining equations (647,875) yields a new equation: % 57.18/23.15 | (546) e1 = e0 % 57.18/23.15 | % 57.18/23.15 | Simplifying 546 yields: % 57.18/23.15 | (431) e1 = e0 % 57.18/23.15 | % 57.18/23.15 | Equations (431) can reduce 233 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (831) ~ (all_0_46_46 = e0) % 57.18/23.15 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (1838), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (545) all_0_46_46 = e1 % 57.18/23.15 | % 57.18/23.15 | Equations (545) can reduce 549 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (549) ~ (all_0_46_46 = e1) % 57.18/23.15 | (1557) all_0_46_46 = e3 % 57.18/23.15 | % 57.18/23.15 | Equations (1557) can reduce 409 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (759) ~ (all_0_50_50 = e1) % 57.18/23.15 | (415) all_0_50_50 = e3 % 57.18/23.15 | % 57.18/23.15 | Equations (415) can reduce 411 to: % 57.18/23.15 | (266) $false % 57.18/23.15 | % 57.18/23.15 |-The branch is then unsatisfiable % 57.18/23.15 |-Branch two: % 57.18/23.15 | (1898) ~ (all_0_41_41 = e3) % 57.18/23.15 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 57.18/23.15 | % 57.18/23.15 +-Applying beta-rule and splitting (1923), into two cases. % 57.18/23.15 |-Branch one: % 57.18/23.15 | (1557) all_0_46_46 = e3 % 57.18/23.15 | % 57.18/23.16 | Equations (1557) can reduce 43 to: % 57.18/23.16 | (1898) ~ (all_0_41_41 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (1557) can reduce 208 to: % 57.18/23.16 | (524) ~ (all_0_49_49 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 524 yields: % 57.18/23.16 | (525) ~ (all_0_49_49 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (1557) can reduce 58 to: % 57.18/23.16 | (269) ~ (all_0_55_55 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 269 yields: % 57.18/23.16 | (270) ~ (all_0_55_55 = e3) % 57.18/23.16 | % 57.18/23.16 | From (1557) and (120) follows: % 57.18/23.16 | (697) op(e2, e3) = e3 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (113), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (403) all_0_41_41 = e3 % 57.18/23.16 | % 57.18/23.16 | Equations (403) can reduce 1898 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (1898) ~ (all_0_41_41 = e3) % 57.18/23.16 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (12), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (442) all_0_57_57 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (442) can reduce 344 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (344) ~ (all_0_57_57 = e2) % 57.18/23.16 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (27), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (437) all_0_41_41 = e4 % 57.18/23.16 | % 57.18/23.16 | Equations (437) can reduce 440 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (440) ~ (all_0_41_41 = e4) % 57.18/23.16 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (243), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (329) all_0_38_38 = e0 % 57.18/23.16 | % 57.18/23.16 | Combining equations (329,292) yields a new equation: % 57.18/23.16 | (330) e2 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (330) can reduce 128 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (332) ~ (all_0_38_38 = e0) % 57.18/23.16 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (189), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (532) all_0_44_44 = e3 % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 143 to: % 57.18/23.16 | (2) ~ (all_0_40_40 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 149 to: % 57.18/23.16 | (1898) ~ (all_0_41_41 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 9 to: % 57.18/23.16 | (524) ~ (all_0_49_49 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 524 yields: % 57.18/23.16 | (525) ~ (all_0_49_49 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 220 to: % 57.18/23.16 | (1114) ~ (all_0_53_53 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 1114 yields: % 57.18/23.16 | (903) ~ (all_0_53_53 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 181 to: % 57.18/23.16 | (275) ~ (all_0_58_58 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 275 yields: % 57.18/23.16 | (276) ~ (all_0_58_58 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 1390 to: % 57.18/23.16 | (277) ~ (e4 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 277 yields: % 57.18/23.16 | (188) ~ (e4 = e3) % 57.18/23.16 | % 57.18/23.16 | From (532) and (138) follows: % 57.18/23.16 | (1639) op(e3, e0) = e3 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (418), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (660) all_0_51_51 = e3 % 57.18/23.16 | % 57.18/23.16 | Equations (660) can reduce 139 to: % 57.18/23.16 | (246) ~ (all_0_39_39 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (660) can reduce 61 to: % 57.18/23.16 | (405) ~ (all_0_42_42 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (660) can reduce 224 to: % 57.18/23.16 | (1091) ~ (all_0_47_47 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (660) can reduce 59 to: % 57.18/23.16 | (411) ~ (all_0_50_50 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (660) can reduce 6 to: % 57.18/23.16 | (1114) ~ (all_0_53_53 = e3) % 57.18/23.16 | % 57.18/23.16 | Simplifying 1114 yields: % 57.18/23.16 | (903) ~ (all_0_53_53 = e3) % 57.18/23.16 | % 57.18/23.16 | Equations (660) can reduce 1099 to: % 57.18/23.16 | (212) ~ (e3 = e2) % 57.18/23.16 | % 57.18/23.16 | From (660) and (186) follows: % 57.18/23.16 | (1552) op(e1, e2) = e3 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (160), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (601) all_0_50_50 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (601) can reduce 221 to: % 57.18/23.16 | (457) ~ (all_0_41_41 = e1) % 57.18/23.16 | % 57.18/23.16 | Equations (601) can reduce 93 to: % 57.18/23.16 | (2331) ~ (all_0_55_55 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 2331 yields: % 57.18/23.16 | (632) ~ (all_0_55_55 = e1) % 57.18/23.16 | % 57.18/23.16 | Equations (601) can reduce 411 to: % 57.18/23.16 | (467) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 467 yields: % 57.18/23.16 | (213) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (231), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (775) all_0_50_50 = e4 % 57.18/23.16 | % 57.18/23.16 | Combining equations (601,775) yields a new equation: % 57.18/23.16 | (630) e4 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (630) can reduce 110 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (566) ~ (all_0_50_50 = e4) % 57.18/23.16 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.18/23.16 | % 57.18/23.16 | Equations (601) can reduce 566 to: % 57.18/23.16 | (602) ~ (e4 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 602 yields: % 57.18/23.16 | (110) ~ (e4 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (196), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (607) all_0_53_53 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (607) can reduce 509 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (509) ~ (all_0_53_53 = e2) % 57.18/23.16 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (103), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (453) all_0_41_41 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (453) can reduce 457 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (457) ~ (all_0_41_41 = e1) % 57.18/23.16 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (62), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (321) all_0_38_38 = e4 % 57.18/23.16 | % 57.18/23.16 | Combining equations (321,292) yields a new equation: % 57.18/23.16 | (322) e4 = e2 % 57.18/23.16 | % 57.18/23.16 | Simplifying 322 yields: % 57.18/23.16 | (323) e4 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (323) can reduce 48 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (325) ~ (all_0_38_38 = e4) % 57.18/23.16 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.18/23.16 | % 57.18/23.16 | Equations (292) can reduce 325 to: % 57.18/23.16 | (327) ~ (e4 = e2) % 57.18/23.16 | % 57.18/23.16 | Simplifying 327 yields: % 57.18/23.16 | (48) ~ (e4 = e2) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (458), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (459) all_0_42_42 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (459) can reduce 145 to: % 57.18/23.16 | (151) ~ (all_0_39_39 = e1) % 57.18/23.16 | % 57.18/23.16 | Equations (459) can reduce 198 to: % 57.18/23.16 | (461) ~ (all_0_47_47 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 461 yields: % 57.18/23.16 | (462) ~ (all_0_47_47 = e1) % 57.18/23.16 | % 57.18/23.16 | Equations (459) can reduce 236 to: % 57.18/23.16 | (465) ~ (all_0_56_56 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 465 yields: % 57.18/23.16 | (466) ~ (all_0_56_56 = e1) % 57.18/23.16 | % 57.18/23.16 | Equations (459) can reduce 405 to: % 57.18/23.16 | (467) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 467 yields: % 57.18/23.16 | (213) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (1071), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (1101) all_0_51_51 = e4 % 57.18/23.16 | % 57.18/23.16 | Combining equations (1101,660) yields a new equation: % 57.18/23.16 | (424) e4 = e3 % 57.18/23.16 | % 57.18/23.16 | Simplifying 424 yields: % 57.18/23.16 | (425) e4 = e3 % 57.18/23.16 | % 57.18/23.16 | Equations (425) can reduce 188 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (475) ~ (all_0_51_51 = e4) % 57.18/23.16 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (165), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (794) all_0_41_41 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (794) can reduce 191 to: % 57.18/23.16 | (4444) ~ (all_0_55_55 = e0) % 57.18/23.16 | % 57.18/23.16 | Simplifying 4444 yields: % 57.18/23.16 | (803) ~ (all_0_55_55 = e0) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (174), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (386) all_0_55_55 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (386) can reduce 304 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (304) ~ (all_0_55_55 = e2) % 57.18/23.16 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (1294), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (565) all_0_52_52 = e4 % 57.18/23.16 | % 57.18/23.16 | Combining equations (352,565) yields a new equation: % 57.18/23.16 | (323) e4 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (323) can reduce 48 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (780) ~ (all_0_52_52 = e4) % 57.18/23.16 | (1298) all_0_53_53 = e4 % 57.18/23.16 | % 57.18/23.16 | Equations (1298) can reduce 162 to: % 57.18/23.16 | (447) ~ (all_0_40_40 = e4) % 57.18/23.16 | % 57.18/23.16 | Equations (1298) can reduce 65 to: % 57.18/23.16 | (256) ~ (all_0_49_49 = e4) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (2051), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (587) all_0_55_55 = e4 % 57.18/23.16 | % 57.18/23.16 | Equations (587) can reduce 3 to: % 57.18/23.16 | (450) ~ (all_0_58_58 = e4) % 57.18/23.16 | % 57.18/23.16 | Simplifying 450 yields: % 57.18/23.16 | (451) ~ (all_0_58_58 = e4) % 57.18/23.16 | % 57.18/23.16 | Equations (587) can reduce 803 to: % 57.18/23.16 | (49) ~ (e4 = e0) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (326), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (471) all_0_39_39 = e4 % 57.18/23.16 | % 57.18/23.16 | Equations (471) can reduce 176 to: % 57.18/23.16 | (7398) ~ (all_0_40_40 = e4) % 57.18/23.16 | % 57.18/23.16 | Simplifying 7398 yields: % 57.18/23.16 | (447) ~ (all_0_40_40 = e4) % 57.18/23.16 | % 57.18/23.16 | Equations (471) can reduce 154 to: % 57.18/23.16 | (476) ~ (all_0_56_56 = e4) % 57.18/23.16 | % 57.18/23.16 | Simplifying 476 yields: % 57.18/23.16 | (477) ~ (all_0_56_56 = e4) % 57.18/23.16 | % 57.18/23.16 | Equations (471) can reduce 151 to: % 57.18/23.16 | (110) ~ (e4 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (333), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (480) all_0_39_39 = e0 % 57.18/23.16 | % 57.18/23.16 | Combining equations (480,471) yields a new equation: % 57.18/23.16 | (397) e4 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (397) can reduce 49 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (484) ~ (all_0_39_39 = e0) % 57.18/23.16 | (485) all_0_40_40 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (485) can reduce 200 to: % 57.18/23.16 | (486) ~ (all_0_49_49 = e0) % 57.18/23.16 | % 57.18/23.16 | Simplifying 486 yields: % 57.18/23.16 | (487) ~ (all_0_49_49 = e0) % 57.18/23.16 | % 57.18/23.16 | Equations (485) can reduce 447 to: % 57.18/23.16 | (401) ~ (e4 = e0) % 57.18/23.16 | % 57.18/23.16 | Simplifying 401 yields: % 57.18/23.16 | (49) ~ (e4 = e0) % 57.18/23.16 | % 57.18/23.16 | Equations (485) can reduce 296 to: % 57.18/23.16 | (365) ~ (e2 = e0) % 57.18/23.16 | % 57.18/23.16 | Simplifying 365 yields: % 57.18/23.16 | (128) ~ (e2 = e0) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (125), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (858) all_0_55_55 = e0 % 57.18/23.16 | % 57.18/23.16 | Combining equations (858,587) yields a new equation: % 57.18/23.16 | (397) e4 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (397) can reduce 49 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (803) ~ (all_0_55_55 = e0) % 57.18/23.16 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (587) can reduce 803 to: % 57.18/23.16 | (49) ~ (e4 = e0) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (216), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (629) all_0_55_55 = e1 % 57.18/23.16 | % 57.18/23.16 | Combining equations (629,587) yields a new equation: % 57.18/23.16 | (630) e4 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (630) can reduce 110 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (632) ~ (all_0_55_55 = e1) % 57.18/23.16 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (587) can reduce 632 to: % 57.18/23.16 | (110) ~ (e4 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (104), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (480) all_0_39_39 = e0 % 57.18/23.16 | % 57.18/23.16 | Combining equations (480,471) yields a new equation: % 57.18/23.16 | (397) e4 = e0 % 57.18/23.16 | % 57.18/23.16 | Equations (397) can reduce 49 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (484) ~ (all_0_39_39 = e0) % 57.18/23.16 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (112), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (635) all_0_44_44 = e1 % 57.18/23.16 | % 57.18/23.16 | Combining equations (532,635) yields a new equation: % 57.18/23.16 | (454) e3 = e1 % 57.18/23.16 | % 57.18/23.16 | Simplifying 454 yields: % 57.18/23.16 | (455) e3 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (455) can reduce 213 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (639) ~ (all_0_44_44 = e1) % 57.18/23.16 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (532) can reduce 639 to: % 57.18/23.16 | (213) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (135), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (545) all_0_46_46 = e1 % 57.18/23.16 | % 57.18/23.16 | Combining equations (1557,545) yields a new equation: % 57.18/23.16 | (454) e3 = e1 % 57.18/23.16 | % 57.18/23.16 | Simplifying 454 yields: % 57.18/23.16 | (455) e3 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (455) can reduce 213 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (549) ~ (all_0_46_46 = e1) % 57.18/23.16 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (133), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (833) all_0_56_56 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (833) can reduce 44 to: % 57.18/23.16 | (1186) ~ (all_0_58_58 = e2) % 57.18/23.16 | % 57.18/23.16 | Simplifying 1186 yields: % 57.18/23.16 | (908) ~ (all_0_58_58 = e2) % 57.18/23.16 | % 57.18/23.16 | Equations (833) can reduce 477 to: % 57.18/23.16 | (327) ~ (e4 = e2) % 57.18/23.16 | % 57.18/23.16 | Simplifying 327 yields: % 57.18/23.16 | (48) ~ (e4 = e2) % 57.18/23.16 | % 57.18/23.16 | Equations (833) can reduce 466 to: % 57.18/23.16 | (122) ~ (e2 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (565) all_0_52_52 = e4 % 57.18/23.16 | % 57.18/23.16 | Combining equations (352,565) yields a new equation: % 57.18/23.16 | (323) e4 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (323) can reduce 48 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (780) ~ (all_0_52_52 = e4) % 57.18/23.16 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (108), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (624) all_0_58_58 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (624) can reduce 908 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (908) ~ (all_0_58_58 = e2) % 57.18/23.16 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (377), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (583) all_0_49_49 = e2 % 57.18/23.16 | % 57.18/23.16 | Equations (583) can reduce 119 to: % 57.18/23.16 | (1186) ~ (all_0_58_58 = e2) % 57.18/23.16 | % 57.18/23.16 | Simplifying 1186 yields: % 57.18/23.16 | (908) ~ (all_0_58_58 = e2) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (550), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (654) all_0_47_47 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (654) can reduce 462 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (462) ~ (all_0_47_47 = e1) % 57.18/23.16 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (640), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (671) all_0_49_49 = e1 % 57.18/23.16 | % 57.18/23.16 | Combining equations (671,583) yields a new equation: % 57.18/23.16 | (617) e2 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (617) can reduce 122 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (1064) ~ (all_0_49_49 = e1) % 57.18/23.16 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (2141), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (1208) all_0_53_53 = e1 % 57.18/23.16 | % 57.18/23.16 | Combining equations (1208,1298) yields a new equation: % 57.18/23.16 | (630) e4 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (630) can reduce 110 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (1459) ~ (all_0_53_53 = e1) % 57.18/23.16 | (918) all_0_58_58 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (918) can reduce 276 to: % 57.18/23.16 | (467) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 467 yields: % 57.18/23.16 | (213) ~ (e3 = e1) % 57.18/23.16 | % 57.18/23.16 | Equations (918) can reduce 908 to: % 57.18/23.16 | (604) ~ (e2 = e1) % 57.18/23.16 | % 57.18/23.16 | Simplifying 604 yields: % 57.18/23.16 | (122) ~ (e2 = e1) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (781), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (789), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (790), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (791), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.18/23.16 | % 57.18/23.16 +-Applying beta-rule and splitting (792), into two cases. % 57.18/23.16 |-Branch one: % 57.18/23.16 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.18/23.16 | % 57.18/23.16 | Applying alpha-rule on (793) yields: % 57.18/23.16 | (794) all_0_41_41 = e0 % 57.18/23.16 | (795) all_0_58_58 = e3 % 57.18/23.16 | (407) ~ (all_0_44_44 = e3) % 57.18/23.16 | % 57.18/23.16 | Combining equations (918,795) yields a new equation: % 57.18/23.16 | (455) e3 = e1 % 57.18/23.16 | % 57.18/23.16 | Equations (455) can reduce 213 to: % 57.18/23.16 | (266) $false % 57.18/23.16 | % 57.18/23.16 |-The branch is then unsatisfiable % 57.18/23.16 |-Branch two: % 57.18/23.16 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.18/23.16 | % 57.18/23.16 | Applying alpha-rule on (800) yields: % 57.18/23.16 | (794) all_0_41_41 = e0 % 57.18/23.16 | (795) all_0_58_58 = e3 % 57.18/23.17 | (803) ~ (all_0_55_55 = e0) % 57.18/23.17 | % 57.18/23.17 | Combining equations (918,795) yields a new equation: % 57.18/23.17 | (455) e3 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (455) can reduce 213 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (807) yields: % 57.18/23.17 | (654) all_0_47_47 = e1 % 57.18/23.17 | (352) all_0_52_52 = e2 % 57.18/23.17 | (810) ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Equations (654) can reduce 462 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (813) yields: % 57.18/23.17 | (654) all_0_47_47 = e1 % 57.18/23.17 | (352) all_0_52_52 = e2 % 57.18/23.17 | (464) ~ (all_0_51_51 = e1) % 57.18/23.17 | % 57.18/23.17 | Equations (654) can reduce 462 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (819) yields: % 57.18/23.17 | (674) all_0_47_47 = e0 % 57.18/23.17 | (624) all_0_58_58 = e2 % 57.18/23.17 | (340) ~ (all_0_49_49 = e2) % 57.18/23.17 | % 57.18/23.17 | Combining equations (918,624) yields a new equation: % 57.18/23.17 | (617) e2 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (617) can reduce 122 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (825) yields: % 57.18/23.17 | (674) all_0_47_47 = e0 % 57.18/23.17 | (624) all_0_58_58 = e2 % 57.18/23.17 | (828) ~ (all_0_56_56 = e0) % 57.18/23.17 | % 57.18/23.17 | Combining equations (918,624) yields a new equation: % 57.18/23.17 | (617) e2 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (617) can reduce 122 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (340) ~ (all_0_49_49 = e2) % 57.18/23.17 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (54), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (583) all_0_49_49 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (583) can reduce 340 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (340) ~ (all_0_49_49 = e2) % 57.18/23.17 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (586), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (974) all_0_49_49 = e4 % 57.18/23.17 | % 57.18/23.17 | Equations (974) can reduce 256 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (256) ~ (all_0_49_49 = e4) % 57.18/23.17 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (977), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (978) all_0_49_49 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (978) can reduce 487 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (487) ~ (all_0_49_49 = e0) % 57.18/23.17 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (981), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (671) all_0_49_49 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (671) can reduce 86 to: % 57.18/23.17 | (462) ~ (all_0_47_47 = e1) % 57.18/23.17 | % 57.18/23.17 | Equations (671) can reduce 487 to: % 57.18/23.17 | (233) ~ (e1 = e0) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (558), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (559) all_0_42_42 = e0 % 57.18/23.17 | % 57.18/23.17 | Combining equations (559,459) yields a new equation: % 57.18/23.17 | (431) e1 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (431) can reduce 233 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (358) ~ (all_0_42_42 = e0) % 57.18/23.17 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (563), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (674) all_0_47_47 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (674) can reduce 462 to: % 57.18/23.17 | (435) ~ (e1 = e0) % 57.18/23.17 | % 57.18/23.17 | Simplifying 435 yields: % 57.18/23.17 | (233) ~ (e1 = e0) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (781), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (789), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (790), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (791), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (792), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (793) yields: % 57.18/23.17 | (794) all_0_41_41 = e0 % 57.18/23.17 | (795) all_0_58_58 = e3 % 57.18/23.17 | (407) ~ (all_0_44_44 = e3) % 57.18/23.17 | % 57.18/23.17 | Equations (795) can reduce 276 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (800) yields: % 57.18/23.17 | (794) all_0_41_41 = e0 % 57.18/23.17 | (795) all_0_58_58 = e3 % 57.18/23.17 | (803) ~ (all_0_55_55 = e0) % 57.18/23.17 | % 57.18/23.17 | Equations (795) can reduce 276 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (807) yields: % 57.18/23.17 | (654) all_0_47_47 = e1 % 57.18/23.17 | (352) all_0_52_52 = e2 % 57.18/23.17 | (810) ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Combining equations (654,674) yields a new equation: % 57.18/23.17 | (546) e1 = e0 % 57.18/23.17 | % 57.18/23.17 | Simplifying 546 yields: % 57.18/23.17 | (431) e1 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (431) can reduce 233 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (813) yields: % 57.18/23.17 | (654) all_0_47_47 = e1 % 57.18/23.17 | (352) all_0_52_52 = e2 % 57.18/23.17 | (464) ~ (all_0_51_51 = e1) % 57.18/23.17 | % 57.18/23.17 | Combining equations (654,674) yields a new equation: % 57.18/23.17 | (546) e1 = e0 % 57.18/23.17 | % 57.18/23.17 | Simplifying 546 yields: % 57.18/23.17 | (431) e1 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (431) can reduce 233 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (819) yields: % 57.18/23.17 | (674) all_0_47_47 = e0 % 57.18/23.17 | (624) all_0_58_58 = e2 % 57.18/23.17 | (340) ~ (all_0_49_49 = e2) % 57.18/23.17 | % 57.18/23.17 | Equations (624) can reduce 908 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (825) yields: % 57.18/23.17 | (674) all_0_47_47 = e0 % 57.18/23.17 | (624) all_0_58_58 = e2 % 57.18/23.17 | (828) ~ (all_0_56_56 = e0) % 57.18/23.17 | % 57.18/23.17 | Equations (624) can reduce 908 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (678) ~ (all_0_47_47 = e0) % 57.18/23.17 | (679) all_0_56_56 = e0 % 57.18/23.17 | % 57.18/23.17 | Combining equations (679,833) yields a new equation: % 57.18/23.17 | (330) e2 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (330) can reduce 128 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (1064) ~ (all_0_49_49 = e1) % 57.18/23.17 | (884) all_0_49_49 = e3 % 57.18/23.17 | % 57.18/23.17 | Equations (884) can reduce 525 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (511) ~ (all_0_56_56 = e2) % 57.18/23.17 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (389), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (833) all_0_56_56 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (833) can reduce 511 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (511) ~ (all_0_56_56 = e2) % 57.18/23.17 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (1709), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (442) all_0_57_57 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (442) can reduce 344 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (344) ~ (all_0_57_57 = e2) % 57.18/23.17 | (624) all_0_58_58 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (624) can reduce 119 to: % 57.18/23.17 | (340) ~ (all_0_49_49 = e2) % 57.18/23.17 | % 57.18/23.17 | Equations (624) can reduce 148 to: % 57.18/23.17 | (344) ~ (all_0_57_57 = e2) % 57.18/23.17 | % 57.18/23.17 | Equations (624) can reduce 451 to: % 57.18/23.17 | (327) ~ (e4 = e2) % 57.18/23.17 | % 57.18/23.17 | Simplifying 327 yields: % 57.18/23.17 | (48) ~ (e4 = e2) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (54), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (583) all_0_49_49 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (583) can reduce 340 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (340) ~ (all_0_49_49 = e2) % 57.18/23.17 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (586), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (974) all_0_49_49 = e4 % 57.18/23.17 | % 57.18/23.17 | Equations (974) can reduce 256 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (256) ~ (all_0_49_49 = e4) % 57.18/23.17 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (977), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (978) all_0_49_49 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (978) can reduce 487 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (487) ~ (all_0_49_49 = e0) % 57.18/23.17 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (981), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (671) all_0_49_49 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (671) can reduce 86 to: % 57.18/23.17 | (462) ~ (all_0_47_47 = e1) % 57.18/23.17 | % 57.18/23.17 | Equations (671) can reduce 185 to: % 57.18/23.17 | (619) ~ (all_0_48_48 = e1) % 57.18/23.17 | % 57.18/23.17 | Equations (671) can reduce 340 to: % 57.18/23.17 | (604) ~ (e2 = e1) % 57.18/23.17 | % 57.18/23.17 | Simplifying 604 yields: % 57.18/23.17 | (122) ~ (e2 = e1) % 57.18/23.17 | % 57.18/23.17 | Equations (671) can reduce 487 to: % 57.18/23.17 | (233) ~ (e1 = e0) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (565) all_0_52_52 = e4 % 57.18/23.17 | % 57.18/23.17 | Combining equations (352,565) yields a new equation: % 57.18/23.17 | (323) e4 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (323) can reduce 48 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (780) ~ (all_0_52_52 = e4) % 57.18/23.17 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (434), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (615) all_0_48_48 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (615) can reduce 619 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (619) ~ (all_0_48_48 = e1) % 57.18/23.17 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (620), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (642) all_0_52_52 = e1 % 57.18/23.17 | % 57.18/23.17 | Combining equations (352,642) yields a new equation: % 57.18/23.17 | (616) e2 = e1 % 57.18/23.17 | % 57.18/23.17 | Simplifying 616 yields: % 57.18/23.17 | (617) e2 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (617) can reduce 122 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (646) ~ (all_0_52_52 = e1) % 57.18/23.17 | (647) all_0_57_57 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (647) can reduce 344 to: % 57.18/23.17 | (604) ~ (e2 = e1) % 57.18/23.17 | % 57.18/23.17 | Simplifying 604 yields: % 57.18/23.17 | (122) ~ (e2 = e1) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (10171), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (1105) all_0_47_47 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (1105) can reduce 114 to: % 57.18/23.17 | (12342) ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Simplifying 12342 yields: % 57.18/23.17 | (810) ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Equations (1105) can reduce 1091 to: % 57.18/23.17 | (626) ~ (e3 = e2) % 57.18/23.17 | % 57.18/23.17 | Simplifying 626 yields: % 57.18/23.17 | (212) ~ (e3 = e2) % 57.18/23.17 | % 57.18/23.17 | Equations (1105) can reduce 462 to: % 57.18/23.17 | (122) ~ (e2 = e1) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (5471), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (1279) all_0_48_48 = e0 % 57.18/23.17 | % 57.18/23.17 | Equations (1279) can reduce 810 to: % 57.18/23.17 | (365) ~ (e2 = e0) % 57.18/23.17 | % 57.18/23.17 | Simplifying 365 yields: % 57.18/23.17 | (128) ~ (e2 = e0) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (781), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (789), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (790), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (791), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.18/23.17 | % 57.18/23.17 +-Applying beta-rule and splitting (792), into two cases. % 57.18/23.17 |-Branch one: % 57.18/23.17 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (793) yields: % 57.18/23.17 | (794) all_0_41_41 = e0 % 57.18/23.17 | (795) all_0_58_58 = e3 % 57.18/23.17 | (407) ~ (all_0_44_44 = e3) % 57.18/23.17 | % 57.18/23.17 | Combining equations (624,795) yields a new equation: % 57.18/23.17 | (662) e3 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (662) can reduce 212 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (800) yields: % 57.18/23.17 | (794) all_0_41_41 = e0 % 57.18/23.17 | (795) all_0_58_58 = e3 % 57.18/23.17 | (803) ~ (all_0_55_55 = e0) % 57.18/23.17 | % 57.18/23.17 | Combining equations (624,795) yields a new equation: % 57.18/23.17 | (662) e3 = e2 % 57.18/23.17 | % 57.18/23.17 | Equations (662) can reduce 212 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (807) yields: % 57.18/23.17 | (654) all_0_47_47 = e1 % 57.18/23.17 | (352) all_0_52_52 = e2 % 57.18/23.17 | (810) ~ (all_0_48_48 = e2) % 57.18/23.17 | % 57.18/23.17 | Combining equations (654,1105) yields a new equation: % 57.18/23.17 | (617) e2 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (617) can reduce 122 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.17 |-Branch two: % 57.18/23.17 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.18/23.17 | % 57.18/23.17 | Applying alpha-rule on (813) yields: % 57.18/23.17 | (654) all_0_47_47 = e1 % 57.18/23.17 | (352) all_0_52_52 = e2 % 57.18/23.17 | (464) ~ (all_0_51_51 = e1) % 57.18/23.17 | % 57.18/23.17 | Combining equations (654,1105) yields a new equation: % 57.18/23.17 | (617) e2 = e1 % 57.18/23.17 | % 57.18/23.17 | Equations (617) can reduce 122 to: % 57.18/23.17 | (266) $false % 57.18/23.17 | % 57.18/23.17 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.18 | % 57.18/23.18 | Applying alpha-rule on (819) yields: % 57.18/23.18 | (674) all_0_47_47 = e0 % 57.18/23.18 | (624) all_0_58_58 = e2 % 57.18/23.18 | (340) ~ (all_0_49_49 = e2) % 57.18/23.18 | % 57.18/23.18 | Combining equations (674,1105) yields a new equation: % 57.18/23.18 | (330) e2 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (330) can reduce 128 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.18 | % 57.18/23.18 | Applying alpha-rule on (825) yields: % 57.18/23.18 | (674) all_0_47_47 = e0 % 57.18/23.18 | (624) all_0_58_58 = e2 % 57.18/23.18 | (828) ~ (all_0_56_56 = e0) % 57.18/23.18 | % 57.18/23.18 | Combining equations (674,1105) yields a new equation: % 57.18/23.18 | (330) e2 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (330) can reduce 128 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.18 | (875) all_0_57_57 = e0 % 57.18/23.18 | % 57.18/23.18 | Combining equations (875,647) yields a new equation: % 57.18/23.18 | (431) e1 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (431) can reduce 233 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (338) ~ (all_0_47_47 = e2) % 57.18/23.18 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (10761), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (335) all_0_48_48 = e2 % 57.18/23.18 | % 57.18/23.18 | Equations (335) can reduce 810 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (810) ~ (all_0_48_48 = e2) % 57.18/23.18 | (583) all_0_49_49 = e2 % 57.18/23.18 | % 57.18/23.18 | Combining equations (583,671) yields a new equation: % 57.18/23.18 | (616) e2 = e1 % 57.18/23.18 | % 57.18/23.18 | Simplifying 616 yields: % 57.18/23.18 | (617) e2 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (617) can reduce 122 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1064) ~ (all_0_49_49 = e1) % 57.18/23.18 | (884) all_0_49_49 = e3 % 57.18/23.18 | % 57.18/23.18 | Equations (884) can reduce 525 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.18 | (1378) all_0_40_40 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (1378) can reduce 447 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (763) ~ (all_0_55_55 = e4) % 57.18/23.18 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (2055), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (858) all_0_55_55 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (858) can reduce 803 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (803) ~ (all_0_55_55 = e0) % 57.18/23.18 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (2315), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (629) all_0_55_55 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (629) can reduce 632 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (632) ~ (all_0_55_55 = e1) % 57.18/23.18 | (2336) all_0_55_55 = e3 % 57.18/23.18 | % 57.18/23.18 | Equations (2336) can reduce 270 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (357) ~ (all_0_41_41 = e0) % 57.18/23.18 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (610), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (1298) all_0_53_53 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (1298) can reduce 162 to: % 57.18/23.18 | (447) ~ (all_0_40_40 = e4) % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (316), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (1378) all_0_40_40 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (1378) can reduce 447 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (447) ~ (all_0_40_40 = e4) % 57.18/23.18 | (485) all_0_40_40 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (485) can reduce 176 to: % 57.18/23.18 | (484) ~ (all_0_39_39 = e0) % 57.18/23.18 | % 57.18/23.18 | Equations (485) can reduce 447 to: % 57.18/23.18 | (401) ~ (e4 = e0) % 57.18/23.18 | % 57.18/23.18 | Simplifying 401 yields: % 57.18/23.18 | (49) ~ (e4 = e0) % 57.18/23.18 | % 57.18/23.18 | Equations (485) can reduce 2 to: % 57.18/23.18 | (541) ~ (e3 = e0) % 57.18/23.18 | % 57.18/23.18 | Simplifying 541 yields: % 57.18/23.18 | (80) ~ (e3 = e0) % 57.18/23.18 | % 57.18/23.18 | Equations (485) can reduce 132 to: % 57.18/23.18 | (435) ~ (e1 = e0) % 57.18/23.18 | % 57.18/23.18 | Simplifying 435 yields: % 57.18/23.18 | (233) ~ (e1 = e0) % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (6761), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (559) all_0_42_42 = e0 % 57.18/23.18 | % 57.18/23.18 | Combining equations (559,459) yields a new equation: % 57.18/23.18 | (431) e1 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (431) can reduce 233 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (358) ~ (all_0_42_42 = e0) % 57.18/23.18 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (326), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (471) all_0_39_39 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (471) can reduce 484 to: % 57.18/23.18 | (49) ~ (e4 = e0) % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (6766), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (356) all_0_43_43 = e0 % 57.18/23.18 | % 57.18/23.18 | Combining equations (356,396) yields a new equation: % 57.18/23.18 | (397) e4 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (397) can reduce 49 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (5470) ~ (all_0_43_43 = e0) % 57.18/23.18 | (1414) all_0_44_44 = e0 % 57.18/23.18 | % 57.18/23.18 | Combining equations (532,1414) yields a new equation: % 57.18/23.18 | (675) e3 = e0 % 57.18/23.18 | % 57.18/23.18 | Simplifying 675 yields: % 57.18/23.18 | (676) e3 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (676) can reduce 80 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.18 | (1378) all_0_40_40 = e4 % 57.18/23.18 | % 57.18/23.18 | Combining equations (1378,485) yields a new equation: % 57.18/23.18 | (481) e4 = e0 % 57.18/23.18 | % 57.18/23.18 | Simplifying 481 yields: % 57.18/23.18 | (397) e4 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (397) can reduce 49 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1453) ~ (all_0_53_53 = e4) % 57.18/23.18 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (1294), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (565) all_0_52_52 = e4 % 57.18/23.18 | % 57.18/23.18 | Combining equations (352,565) yields a new equation: % 57.18/23.18 | (323) e4 = e2 % 57.18/23.18 | % 57.18/23.18 | Equations (323) can reduce 48 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (780) ~ (all_0_52_52 = e4) % 57.18/23.18 | (1298) all_0_53_53 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (1298) can reduce 1453 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1380) ~ (all_0_42_42 = e1) % 57.18/23.18 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (1381), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (430) all_0_43_43 = e1 % 57.18/23.18 | % 57.18/23.18 | Combining equations (430,396) yields a new equation: % 57.18/23.18 | (630) e4 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (630) can reduce 110 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (433) ~ (all_0_43_43 = e1) % 57.18/23.18 | (635) all_0_44_44 = e1 % 57.18/23.18 | % 57.18/23.18 | Combining equations (532,635) yields a new equation: % 57.18/23.18 | (454) e3 = e1 % 57.18/23.18 | % 57.18/23.18 | Simplifying 454 yields: % 57.18/23.18 | (455) e3 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (455) can reduce 213 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (759) ~ (all_0_50_50 = e1) % 57.18/23.18 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (1168), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (1109) all_0_51_51 = e1 % 57.18/23.18 | % 57.18/23.18 | Combining equations (1109,660) yields a new equation: % 57.18/23.18 | (455) e3 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (455) can reduce 213 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (464) ~ (all_0_51_51 = e1) % 57.18/23.18 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (422), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (775) all_0_50_50 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (775) can reduce 93 to: % 57.18/23.18 | (1909) ~ (all_0_55_55 = e4) % 57.18/23.18 | % 57.18/23.18 | Simplifying 1909 yields: % 57.18/23.18 | (763) ~ (all_0_55_55 = e4) % 57.18/23.18 | % 57.18/23.18 | Equations (775) can reduce 411 to: % 57.18/23.18 | (188) ~ (e4 = e3) % 57.18/23.18 | % 57.18/23.18 | Equations (775) can reduce 302 to: % 57.18/23.18 | (48) ~ (e4 = e2) % 57.18/23.18 | % 57.18/23.18 | From (775) and (242) follows: % 57.18/23.18 | (5059) op(e1, e3) = e4 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (1202), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (642) all_0_52_52 = e1 % 57.18/23.18 | % 57.18/23.18 | Combining equations (352,642) yields a new equation: % 57.18/23.18 | (616) e2 = e1 % 57.18/23.18 | % 57.18/23.18 | Simplifying 616 yields: % 57.18/23.18 | (617) e2 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (617) can reduce 122 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (646) ~ (all_0_52_52 = e1) % 57.18/23.18 | (1208) all_0_53_53 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (1208) can reduce 162 to: % 57.18/23.18 | (132) ~ (all_0_40_40 = e1) % 57.18/23.18 | % 57.18/23.18 | Equations (1208) can reduce 65 to: % 57.18/23.18 | (1064) ~ (all_0_49_49 = e1) % 57.18/23.18 | % 57.18/23.18 | Equations (1208) can reduce 10 to: % 57.18/23.18 | (879) ~ (all_0_58_58 = e1) % 57.18/23.18 | % 57.18/23.18 | Simplifying 879 yields: % 57.18/23.18 | (880) ~ (all_0_58_58 = e1) % 57.18/23.18 | % 57.18/23.18 | Equations (1208) can reduce 903 to: % 57.18/23.18 | (467) ~ (e3 = e1) % 57.18/23.18 | % 57.18/23.18 | Simplifying 467 yields: % 57.18/23.18 | (213) ~ (e3 = e1) % 57.18/23.18 | % 57.18/23.18 | Equations (1208) can reduce 509 to: % 57.18/23.18 | (604) ~ (e2 = e1) % 57.18/23.18 | % 57.18/23.18 | Simplifying 604 yields: % 57.18/23.18 | (122) ~ (e2 = e1) % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (135), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (545) all_0_46_46 = e1 % 57.18/23.18 | % 57.18/23.18 | Combining equations (1557,545) yields a new equation: % 57.18/23.18 | (454) e3 = e1 % 57.18/23.18 | % 57.18/23.18 | Simplifying 454 yields: % 57.18/23.18 | (455) e3 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (455) can reduce 213 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (549) ~ (all_0_46_46 = e1) % 57.18/23.18 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (1557) can reduce 549 to: % 57.18/23.18 | (213) ~ (e3 = e1) % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (103), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (453) all_0_41_41 = e1 % 57.18/23.18 | % 57.18/23.18 | Equations (453) can reduce 214 to: % 57.18/23.18 | (4055) ~ (all_0_42_42 = e1) % 57.18/23.18 | % 57.18/23.18 | Simplifying 4055 yields: % 57.18/23.18 | (1380) ~ (all_0_42_42 = e1) % 57.18/23.18 | % 57.18/23.18 | Equations (453) can reduce 191 to: % 57.18/23.18 | (2331) ~ (all_0_55_55 = e1) % 57.18/23.18 | % 57.18/23.18 | Simplifying 2331 yields: % 57.18/23.18 | (632) ~ (all_0_55_55 = e1) % 57.18/23.18 | % 57.18/23.18 | From (453) and (219) follows: % 57.18/23.18 | (12512) op(e3, e3) = e1 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (152), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (1392) all_0_42_42 = e4 % 57.18/23.18 | % 57.18/23.18 | Equations (1392) can reduce 1890 to: % 57.18/23.18 | (266) $false % 57.18/23.18 | % 57.18/23.18 |-The branch is then unsatisfiable % 57.18/23.18 |-Branch two: % 57.18/23.18 | (1890) ~ (all_0_42_42 = e4) % 57.18/23.18 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.18/23.18 | % 57.18/23.18 +-Applying beta-rule and splitting (1969), into two cases. % 57.18/23.18 |-Branch one: % 57.18/23.18 | (559) all_0_42_42 = e0 % 57.18/23.18 | % 57.18/23.18 | Equations (559) can reduce 145 to: % 57.18/23.18 | (484) ~ (all_0_39_39 = e0) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (174), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (386) all_0_55_55 = e2 % 57.18/23.19 | % 57.18/23.19 | Equations (386) can reduce 304 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (304) ~ (all_0_55_55 = e2) % 57.18/23.19 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (2051), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (587) all_0_55_55 = e4 % 57.18/23.19 | % 57.18/23.19 | Equations (587) can reduce 763 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (763) ~ (all_0_55_55 = e4) % 57.18/23.19 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (2055), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (858) all_0_55_55 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (858) can reduce 81 to: % 57.18/23.19 | (363) ~ (all_0_57_57 = e0) % 57.18/23.19 | % 57.18/23.19 | Simplifying 363 yields: % 57.18/23.19 | (364) ~ (all_0_57_57 = e0) % 57.18/23.19 | % 57.18/23.19 | Equations (858) can reduce 632 to: % 57.18/23.19 | (435) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 | Simplifying 435 yields: % 57.18/23.19 | (233) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (163), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (565) all_0_52_52 = e4 % 57.18/23.19 | % 57.18/23.19 | Combining equations (352,565) yields a new equation: % 57.18/23.19 | (323) e4 = e2 % 57.18/23.19 | % 57.18/23.19 | Equations (323) can reduce 48 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (780) ~ (all_0_52_52 = e4) % 57.18/23.19 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (5471), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (1279) all_0_48_48 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (1279) can reduce 114 to: % 57.18/23.19 | (678) ~ (all_0_47_47 = e0) % 57.18/23.19 | % 57.18/23.19 | Equations (1279) can reduce 239 to: % 57.18/23.19 | (363) ~ (all_0_57_57 = e0) % 57.18/23.19 | % 57.18/23.19 | Simplifying 363 yields: % 57.18/23.19 | (364) ~ (all_0_57_57 = e0) % 57.18/23.19 | % 57.18/23.19 | Equations (1279) can reduce 254 to: % 57.18/23.19 | (401) ~ (e4 = e0) % 57.18/23.19 | % 57.18/23.19 | Simplifying 401 yields: % 57.18/23.19 | (49) ~ (e4 = e0) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (781), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (789), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (790), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (791), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (792), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.18/23.19 | % 57.18/23.19 | Applying alpha-rule on (793) yields: % 57.18/23.19 | (794) all_0_41_41 = e0 % 57.18/23.19 | (795) all_0_58_58 = e3 % 57.18/23.19 | (407) ~ (all_0_44_44 = e3) % 57.18/23.19 | % 57.18/23.19 | Combining equations (794,453) yields a new equation: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.18/23.19 | % 57.18/23.19 | Applying alpha-rule on (800) yields: % 57.18/23.19 | (794) all_0_41_41 = e0 % 57.18/23.19 | (795) all_0_58_58 = e3 % 57.18/23.19 | (803) ~ (all_0_55_55 = e0) % 57.18/23.19 | % 57.18/23.19 | Combining equations (794,453) yields a new equation: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.18/23.19 | % 57.18/23.19 | Applying alpha-rule on (807) yields: % 57.18/23.19 | (654) all_0_47_47 = e1 % 57.18/23.19 | (352) all_0_52_52 = e2 % 57.18/23.19 | (810) ~ (all_0_48_48 = e2) % 57.18/23.19 | % 57.18/23.19 | Equations (654) can reduce 86 to: % 57.18/23.19 | (1419) ~ (all_0_49_49 = e1) % 57.18/23.19 | % 57.18/23.19 | Simplifying 1419 yields: % 57.18/23.19 | (1064) ~ (all_0_49_49 = e1) % 57.18/23.19 | % 57.18/23.19 | Equations (654) can reduce 91 to: % 57.18/23.19 | (465) ~ (all_0_56_56 = e1) % 57.18/23.19 | % 57.18/23.19 | Simplifying 465 yields: % 57.18/23.19 | (466) ~ (all_0_56_56 = e1) % 57.18/23.19 | % 57.18/23.19 | Equations (654) can reduce 678 to: % 57.18/23.19 | (233) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 | From (654) and (23) follows: % 57.18/23.19 | (9478) op(e2, e2) = e1 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (216), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (629) all_0_55_55 = e1 % 57.18/23.19 | % 57.18/23.19 | Combining equations (629,858) yields a new equation: % 57.18/23.19 | (546) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Simplifying 546 yields: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (632) ~ (all_0_55_55 = e1) % 57.18/23.19 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (54), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (583) all_0_49_49 = e2 % 57.18/23.19 | % 57.18/23.19 | Equations (583) can reduce 256 to: % 57.18/23.19 | (327) ~ (e4 = e2) % 57.18/23.19 | % 57.18/23.19 | Simplifying 327 yields: % 57.18/23.19 | (48) ~ (e4 = e2) % 57.18/23.19 | % 57.18/23.19 | Equations (583) can reduce 525 to: % 57.18/23.19 | (626) ~ (e3 = e2) % 57.18/23.19 | % 57.18/23.19 | Simplifying 626 yields: % 57.18/23.19 | (212) ~ (e3 = e2) % 57.18/23.19 | % 57.18/23.19 | Equations (583) can reduce 1064 to: % 57.18/23.19 | (122) ~ (e2 = e1) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (75), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (485) all_0_40_40 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (485) can reduce 2 to: % 57.18/23.19 | (541) ~ (e3 = e0) % 57.18/23.19 | % 57.18/23.19 | Simplifying 541 yields: % 57.18/23.19 | (80) ~ (e3 = e0) % 57.18/23.19 | % 57.18/23.19 | Equations (485) can reduce 132 to: % 57.18/23.19 | (435) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 | Simplifying 435 yields: % 57.18/23.19 | (233) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (150), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (1378) all_0_40_40 = e4 % 57.18/23.19 | % 57.18/23.19 | Combining equations (1378,485) yields a new equation: % 57.18/23.19 | (481) e4 = e0 % 57.18/23.19 | % 57.18/23.19 | Simplifying 481 yields: % 57.18/23.19 | (397) e4 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (397) can reduce 49 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (447) ~ (all_0_40_40 = e4) % 57.18/23.19 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (434), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (615) all_0_48_48 = e1 % 57.18/23.19 | % 57.18/23.19 | Combining equations (1279,615) yields a new equation: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (619) ~ (all_0_48_48 = e1) % 57.18/23.19 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (620), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (642) all_0_52_52 = e1 % 57.18/23.19 | % 57.18/23.19 | Combining equations (352,642) yields a new equation: % 57.18/23.19 | (616) e2 = e1 % 57.18/23.19 | % 57.18/23.19 | Simplifying 616 yields: % 57.18/23.19 | (617) e2 = e1 % 57.18/23.19 | % 57.18/23.19 | Equations (617) can reduce 122 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (646) ~ (all_0_52_52 = e1) % 57.18/23.19 | (647) all_0_57_57 = e1 % 57.18/23.19 | % 57.18/23.19 | Equations (647) can reduce 839 to: % 57.18/23.19 | (602) ~ (e4 = e1) % 57.18/23.19 | % 57.18/23.19 | Simplifying 602 yields: % 57.18/23.19 | (110) ~ (e4 = e1) % 57.18/23.19 | % 57.18/23.19 | Equations (647) can reduce 344 to: % 57.18/23.19 | (604) ~ (e2 = e1) % 57.18/23.19 | % 57.18/23.19 | Simplifying 604 yields: % 57.18/23.19 | (122) ~ (e2 = e1) % 57.18/23.19 | % 57.18/23.19 | Equations (647) can reduce 364 to: % 57.18/23.19 | (233) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (2271), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (446) all_0_44_44 = e4 % 57.18/23.19 | % 57.18/23.19 | Combining equations (532,446) yields a new equation: % 57.18/23.19 | (425) e4 = e3 % 57.18/23.19 | % 57.18/23.19 | Equations (425) can reduce 188 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (1390) ~ (all_0_44_44 = e4) % 57.18/23.19 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (7998), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (974) all_0_49_49 = e4 % 57.18/23.19 | % 57.18/23.19 | Combining equations (583,974) yields a new equation: % 57.18/23.19 | (323) e4 = e2 % 57.18/23.19 | % 57.18/23.19 | Equations (323) can reduce 48 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (256) ~ (all_0_49_49 = e4) % 57.18/23.19 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (8013), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (1298) all_0_53_53 = e4 % 57.18/23.19 | % 57.18/23.19 | Combining equations (1208,1298) yields a new equation: % 57.18/23.19 | (630) e4 = e1 % 57.18/23.19 | % 57.18/23.19 | Equations (630) can reduce 110 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (1453) ~ (all_0_53_53 = e4) % 57.18/23.19 | (910) all_0_58_58 = e4 % 57.18/23.19 | % 57.18/23.19 | From (910) and (245) follows: % 57.18/23.19 | (2661) op(e0, e0) = e4 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (133), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (833) all_0_56_56 = e2 % 57.18/23.19 | % 57.18/23.19 | From (833) and (111) follows: % 57.18/23.19 | (1508) op(e0, e2) = e2 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (56), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (696) unit = e2 % 57.18/23.19 | % 57.18/23.19 | From (696) and (32) follows: % 57.18/23.19 | (698) op(e2, e2) = e2 % 57.18/23.19 | % 57.18/23.19 | From (696) and (42) follows: % 57.18/23.19 | (1613) op(e0, e2) = e0 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.18/23.19 | (617) e2 = e1 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.18/23.19 | (330) e2 = e0 % 57.18/23.19 | % 57.18/23.19 | Combining equations (330,617) yields a new equation: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (707) ~ (unit = e2) % 57.18/23.19 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (708), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (709) unit = e4 % 57.18/23.19 | % 57.18/23.19 | From (709) and (227) follows: % 57.18/23.19 | (710) op(e4, e4) = e4 % 57.18/23.19 | % 57.18/23.19 | From (709) and (40) follows: % 57.18/23.19 | (711) op(e3, e4) = e3 % 57.18/23.19 | % 57.18/23.19 | From (709) and (32) follows: % 57.18/23.19 | (712) op(e2, e4) = e2 % 57.18/23.19 | % 57.18/23.19 | From (709) and (42) follows: % 57.18/23.19 | (713) op(e0, e4) = e0 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.18/23.19 | (630) e4 = e1 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.18/23.19 | (662) e3 = e2 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.18/23.19 | (323) e4 = e2 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.18/23.19 | (676) e3 = e0 % 57.18/23.19 | % 57.18/23.19 | Combining equations (323,630) yields a new equation: % 57.18/23.19 | (616) e2 = e1 % 57.18/23.19 | % 57.18/23.19 | Simplifying 616 yields: % 57.18/23.19 | (617) e2 = e1 % 57.18/23.19 | % 57.18/23.19 | Combining equations (662,676) yields a new equation: % 57.18/23.19 | (391) e2 = e0 % 57.18/23.19 | % 57.18/23.19 | Simplifying 391 yields: % 57.18/23.19 | (330) e2 = e0 % 57.18/23.19 | % 57.18/23.19 | Combining equations (330,617) yields a new equation: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (724) ~ (unit = e4) % 57.18/23.19 | (725) unit = e3 | unit = e1 | unit = e0 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (725), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (726) unit = e0 % 57.18/23.19 | % 57.18/23.19 | From (726) and (244) follows: % 57.18/23.19 | (2207) op(e0, e4) = e4 % 57.18/23.19 | % 57.18/23.19 | From (726) and (42) follows: % 57.18/23.19 | (728) op(e0, e0) = e0 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.18/23.19 | (425) e4 = e3 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 57.18/23.19 | (397) e4 = e0 % 57.18/23.19 | % 57.18/23.19 | Combining equations (397,425) yields a new equation: % 57.18/23.19 | (676) e3 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (676) can reduce 80 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (734) ~ (unit = e0) % 57.18/23.19 | (735) unit = e3 | unit = e1 % 57.18/23.19 | % 57.18/23.19 +-Applying beta-rule and splitting (735), into two cases. % 57.18/23.19 |-Branch one: % 57.18/23.19 | (736) unit = e1 % 57.18/23.19 | % 57.18/23.19 | Equations (736) can reduce 734 to: % 57.18/23.19 | (233) ~ (e1 = e0) % 57.18/23.19 | % 57.18/23.19 | From (736) and (244) follows: % 57.18/23.19 | (738) op(e1, e4) = e4 % 57.18/23.19 | % 57.18/23.19 | From (736) and (24) follows: % 57.18/23.19 | (1934) op(e1, e3) = e3 % 57.18/23.19 | % 57.18/23.19 | From (736) and (15) follows: % 57.18/23.19 | (515) op(e1, e2) = e2 % 57.18/23.19 | % 57.18/23.19 | From (736) and (28) follows: % 57.18/23.19 | (740) op(e1, e1) = e1 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 57.18/23.19 | (397) e4 = e0 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 57.18/23.19 | (425) e4 = e3 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.18/23.19 | (662) e3 = e2 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 57.18/23.19 | (617) e2 = e1 % 57.18/23.19 | % 57.18/23.19 | Combining equations (397,425) yields a new equation: % 57.18/23.19 | (676) e3 = e0 % 57.18/23.19 | % 57.18/23.19 | Combining equations (676,662) yields a new equation: % 57.18/23.19 | (330) e2 = e0 % 57.18/23.19 | % 57.18/23.19 | Combining equations (617,330) yields a new equation: % 57.18/23.19 | (546) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Simplifying 546 yields: % 57.18/23.19 | (431) e1 = e0 % 57.18/23.19 | % 57.18/23.19 | Equations (431) can reduce 233 to: % 57.18/23.19 | (266) $false % 57.18/23.19 | % 57.18/23.19 |-The branch is then unsatisfiable % 57.18/23.19 |-Branch two: % 57.18/23.19 | (748) ~ (unit = e1) % 57.18/23.19 | (749) unit = e3 % 57.18/23.19 | % 57.18/23.19 | From (749) and (209) follows: % 57.18/23.19 | (1667) op(e3, e0) = e0 % 57.18/23.19 | % 57.18/23.19 | From (749) and (40) follows: % 57.18/23.19 | (3715) op(e3, e3) = e3 % 57.18/23.19 | % 57.18/23.19 | From (749) and (32) follows: % 57.18/23.19 | (5793) op(e2, e3) = e2 % 57.18/23.19 | % 57.18/23.19 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 57.18/23.20 | (455) e3 = e1 % 57.18/23.20 | % 57.18/23.20 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.18/23.20 | (676) e3 = e0 % 57.18/23.20 | % 57.18/23.20 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 57.18/23.20 | (662) e3 = e2 % 57.18/23.20 | % 57.18/23.20 | Combining equations (676,662) yields a new equation: % 57.18/23.20 | (330) e2 = e0 % 57.18/23.20 | % 57.18/23.20 | Combining equations (455,662) yields a new equation: % 57.18/23.20 | (617) e2 = e1 % 57.18/23.20 | % 57.18/23.20 | Combining equations (617,330) yields a new equation: % 57.18/23.20 | (546) e1 = e0 % 57.18/23.20 | % 57.18/23.20 | Simplifying 546 yields: % 57.18/23.20 | (431) e1 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (431) can reduce 233 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (511) ~ (all_0_56_56 = e2) % 57.18/23.20 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (385), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1105) all_0_47_47 = e2 % 57.18/23.20 | % 57.18/23.20 | Combining equations (1105,654) yields a new equation: % 57.18/23.20 | (616) e2 = e1 % 57.18/23.20 | % 57.18/23.20 | Simplifying 616 yields: % 57.18/23.20 | (617) e2 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (617) can reduce 122 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (338) ~ (all_0_47_47 = e2) % 57.18/23.20 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (1108), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (504) all_0_51_51 = e2 % 57.18/23.20 | % 57.18/23.20 | Combining equations (660,504) yields a new equation: % 57.18/23.20 | (661) e3 = e2 % 57.18/23.20 | % 57.18/23.20 | Simplifying 661 yields: % 57.18/23.20 | (662) e3 = e2 % 57.18/23.20 | % 57.18/23.20 | Equations (662) can reduce 212 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1099) ~ (all_0_51_51 = e2) % 57.18/23.20 | (833) all_0_56_56 = e2 % 57.18/23.20 | % 57.18/23.20 | Equations (833) can reduce 511 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1401) ~ (all_0_40_40 = e0) % 57.18/23.20 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (320), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (471) all_0_39_39 = e4 % 57.18/23.20 | % 57.18/23.20 | Equations (471) can reduce 176 to: % 57.18/23.20 | (7398) ~ (all_0_40_40 = e4) % 57.18/23.20 | % 57.18/23.20 | Simplifying 7398 yields: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (150), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1378) all_0_40_40 = e4 % 57.18/23.20 | % 57.18/23.20 | Equations (1378) can reduce 447 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (316), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1378) all_0_40_40 = e4 % 57.18/23.20 | % 57.18/23.20 | Equations (1378) can reduce 447 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | (485) all_0_40_40 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (485) can reduce 1401 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.20 | (480) all_0_39_39 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (480) can reduce 484 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (340) ~ (all_0_49_49 = e2) % 57.18/23.20 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (75), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (485) all_0_40_40 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (485) can reduce 296 to: % 57.18/23.20 | (365) ~ (e2 = e0) % 57.18/23.20 | % 57.18/23.20 | Simplifying 365 yields: % 57.18/23.20 | (128) ~ (e2 = e0) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (633), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1569) all_0_56_56 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (1569) can reduce 466 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (466) ~ (all_0_56_56 = e1) % 57.18/23.20 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (1574), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (647) all_0_57_57 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (647) can reduce 344 to: % 57.18/23.20 | (604) ~ (e2 = e1) % 57.18/23.20 | % 57.18/23.20 | Simplifying 604 yields: % 57.18/23.20 | (122) ~ (e2 = e1) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (10171), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1105) all_0_47_47 = e2 % 57.18/23.20 | % 57.18/23.20 | Combining equations (654,1105) yields a new equation: % 57.18/23.20 | (617) e2 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (617) can reduce 122 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (338) ~ (all_0_47_47 = e2) % 57.18/23.20 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (10761), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (335) all_0_48_48 = e2 % 57.18/23.20 | % 57.18/23.20 | Combining equations (1279,335) yields a new equation: % 57.18/23.20 | (330) e2 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (330) can reduce 128 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (810) ~ (all_0_48_48 = e2) % 57.18/23.20 | (583) all_0_49_49 = e2 % 57.18/23.20 | % 57.18/23.20 | Equations (583) can reduce 340 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1670) ~ (all_0_57_57 = e1) % 57.18/23.20 | (918) all_0_58_58 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (918) can reduce 880 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1401) ~ (all_0_40_40 = e0) % 57.18/23.20 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (320), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (471) all_0_39_39 = e4 % 57.18/23.20 | % 57.18/23.20 | Equations (471) can reduce 176 to: % 57.18/23.20 | (7398) ~ (all_0_40_40 = e4) % 57.18/23.20 | % 57.18/23.20 | Simplifying 7398 yields: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (150), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1378) all_0_40_40 = e4 % 57.18/23.20 | % 57.18/23.20 | Equations (1378) can reduce 447 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (316), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1378) all_0_40_40 = e4 % 57.18/23.20 | % 57.18/23.20 | Equations (1378) can reduce 447 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | (485) all_0_40_40 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (485) can reduce 1401 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.20 | (480) all_0_39_39 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (480) can reduce 484 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.18/23.20 | % 57.18/23.20 | Applying alpha-rule on (813) yields: % 57.18/23.20 | (654) all_0_47_47 = e1 % 57.18/23.20 | (352) all_0_52_52 = e2 % 57.18/23.20 | (464) ~ (all_0_51_51 = e1) % 57.18/23.20 | % 57.18/23.20 | Equations (654) can reduce 86 to: % 57.18/23.20 | (1419) ~ (all_0_49_49 = e1) % 57.18/23.20 | % 57.18/23.20 | Simplifying 1419 yields: % 57.18/23.20 | (1064) ~ (all_0_49_49 = e1) % 57.18/23.20 | % 57.18/23.20 | Equations (654) can reduce 91 to: % 57.18/23.20 | (465) ~ (all_0_56_56 = e1) % 57.18/23.20 | % 57.18/23.20 | Simplifying 465 yields: % 57.18/23.20 | (466) ~ (all_0_56_56 = e1) % 57.18/23.20 | % 57.18/23.20 | Equations (654) can reduce 678 to: % 57.18/23.20 | (233) ~ (e1 = e0) % 57.18/23.20 | % 57.18/23.20 | From (654) and (23) follows: % 57.18/23.20 | (9478) op(e2, e2) = e1 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (216), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (629) all_0_55_55 = e1 % 57.18/23.20 | % 57.18/23.20 | Combining equations (629,858) yields a new equation: % 57.18/23.20 | (546) e1 = e0 % 57.18/23.20 | % 57.18/23.20 | Simplifying 546 yields: % 57.18/23.20 | (431) e1 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (431) can reduce 233 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (632) ~ (all_0_55_55 = e1) % 57.18/23.20 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (54), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (583) all_0_49_49 = e2 % 57.18/23.20 | % 57.18/23.20 | Equations (583) can reduce 256 to: % 57.18/23.20 | (327) ~ (e4 = e2) % 57.18/23.20 | % 57.18/23.20 | Simplifying 327 yields: % 57.18/23.20 | (48) ~ (e4 = e2) % 57.18/23.20 | % 57.18/23.20 | Equations (583) can reduce 525 to: % 57.18/23.20 | (626) ~ (e3 = e2) % 57.18/23.20 | % 57.18/23.20 | Simplifying 626 yields: % 57.18/23.20 | (212) ~ (e3 = e2) % 57.18/23.20 | % 57.18/23.20 | Equations (583) can reduce 1064 to: % 57.18/23.20 | (122) ~ (e2 = e1) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (75), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (485) all_0_40_40 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (485) can reduce 2 to: % 57.18/23.20 | (541) ~ (e3 = e0) % 57.18/23.20 | % 57.18/23.20 | Simplifying 541 yields: % 57.18/23.20 | (80) ~ (e3 = e0) % 57.18/23.20 | % 57.18/23.20 | Equations (485) can reduce 132 to: % 57.18/23.20 | (435) ~ (e1 = e0) % 57.18/23.20 | % 57.18/23.20 | Simplifying 435 yields: % 57.18/23.20 | (233) ~ (e1 = e0) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (150), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (1378) all_0_40_40 = e4 % 57.18/23.20 | % 57.18/23.20 | Combining equations (1378,485) yields a new equation: % 57.18/23.20 | (481) e4 = e0 % 57.18/23.20 | % 57.18/23.20 | Simplifying 481 yields: % 57.18/23.20 | (397) e4 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (397) can reduce 49 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (447) ~ (all_0_40_40 = e4) % 57.18/23.20 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (434), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (615) all_0_48_48 = e1 % 57.18/23.20 | % 57.18/23.20 | Combining equations (1279,615) yields a new equation: % 57.18/23.20 | (431) e1 = e0 % 57.18/23.20 | % 57.18/23.20 | Equations (431) can reduce 233 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (619) ~ (all_0_48_48 = e1) % 57.18/23.20 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (620), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (642) all_0_52_52 = e1 % 57.18/23.20 | % 57.18/23.20 | Combining equations (352,642) yields a new equation: % 57.18/23.20 | (616) e2 = e1 % 57.18/23.20 | % 57.18/23.20 | Simplifying 616 yields: % 57.18/23.20 | (617) e2 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (617) can reduce 122 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (646) ~ (all_0_52_52 = e1) % 57.18/23.20 | (647) all_0_57_57 = e1 % 57.18/23.20 | % 57.18/23.20 | Equations (647) can reduce 839 to: % 57.18/23.20 | (602) ~ (e4 = e1) % 57.18/23.20 | % 57.18/23.20 | Simplifying 602 yields: % 57.18/23.20 | (110) ~ (e4 = e1) % 57.18/23.20 | % 57.18/23.20 | Equations (647) can reduce 344 to: % 57.18/23.20 | (604) ~ (e2 = e1) % 57.18/23.20 | % 57.18/23.20 | Simplifying 604 yields: % 57.18/23.20 | (122) ~ (e2 = e1) % 57.18/23.20 | % 57.18/23.20 | Equations (647) can reduce 364 to: % 57.18/23.20 | (233) ~ (e1 = e0) % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (2271), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (446) all_0_44_44 = e4 % 57.18/23.20 | % 57.18/23.20 | Combining equations (532,446) yields a new equation: % 57.18/23.20 | (425) e4 = e3 % 57.18/23.20 | % 57.18/23.20 | Equations (425) can reduce 188 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (1390) ~ (all_0_44_44 = e4) % 57.18/23.20 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.20 | % 57.18/23.20 +-Applying beta-rule and splitting (7998), into two cases. % 57.18/23.20 |-Branch one: % 57.18/23.20 | (974) all_0_49_49 = e4 % 57.18/23.20 | % 57.18/23.20 | Combining equations (583,974) yields a new equation: % 57.18/23.20 | (323) e4 = e2 % 57.18/23.20 | % 57.18/23.20 | Equations (323) can reduce 48 to: % 57.18/23.20 | (266) $false % 57.18/23.20 | % 57.18/23.20 |-The branch is then unsatisfiable % 57.18/23.20 |-Branch two: % 57.18/23.20 | (256) ~ (all_0_49_49 = e4) % 57.18/23.20 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (8013), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (1298) all_0_53_53 = e4 % 57.18/23.21 | % 57.18/23.21 | Combining equations (1208,1298) yields a new equation: % 57.18/23.21 | (630) e4 = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (630) can reduce 110 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (1453) ~ (all_0_53_53 = e4) % 57.18/23.21 | (910) all_0_58_58 = e4 % 57.18/23.21 | % 57.18/23.21 | From (910) and (245) follows: % 57.18/23.21 | (2661) op(e0, e0) = e4 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (133), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (833) all_0_56_56 = e2 % 57.18/23.21 | % 57.18/23.21 | From (833) and (111) follows: % 57.18/23.21 | (1508) op(e0, e2) = e2 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (56), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (696) unit = e2 % 57.18/23.21 | % 57.18/23.21 | From (696) and (32) follows: % 57.18/23.21 | (698) op(e2, e2) = e2 % 57.18/23.21 | % 57.18/23.21 | From (696) and (42) follows: % 57.18/23.21 | (1613) op(e0, e2) = e0 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.18/23.21 | (617) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.18/23.21 | (330) e2 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (330,617) yields a new equation: % 57.18/23.21 | (431) e1 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (431) can reduce 233 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (707) ~ (unit = e2) % 57.18/23.21 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (708), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (709) unit = e4 % 57.18/23.21 | % 57.18/23.21 | From (709) and (227) follows: % 57.18/23.21 | (710) op(e4, e4) = e4 % 57.18/23.21 | % 57.18/23.21 | From (709) and (40) follows: % 57.18/23.21 | (711) op(e3, e4) = e3 % 57.18/23.21 | % 57.18/23.21 | From (709) and (32) follows: % 57.18/23.21 | (712) op(e2, e4) = e2 % 57.18/23.21 | % 57.18/23.21 | From (709) and (42) follows: % 57.18/23.21 | (713) op(e0, e4) = e0 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.18/23.21 | (630) e4 = e1 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.18/23.21 | (662) e3 = e2 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.18/23.21 | (323) e4 = e2 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.18/23.21 | (676) e3 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (323,630) yields a new equation: % 57.18/23.21 | (616) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Simplifying 616 yields: % 57.18/23.21 | (617) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Combining equations (662,676) yields a new equation: % 57.18/23.21 | (391) e2 = e0 % 57.18/23.21 | % 57.18/23.21 | Simplifying 391 yields: % 57.18/23.21 | (330) e2 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (330,617) yields a new equation: % 57.18/23.21 | (431) e1 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (431) can reduce 233 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (724) ~ (unit = e4) % 57.18/23.21 | (725) unit = e3 | unit = e1 | unit = e0 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (725), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (726) unit = e0 % 57.18/23.21 | % 57.18/23.21 | From (726) and (244) follows: % 57.18/23.21 | (2207) op(e0, e4) = e4 % 57.18/23.21 | % 57.18/23.21 | From (726) and (42) follows: % 57.18/23.21 | (728) op(e0, e0) = e0 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.18/23.21 | (425) e4 = e3 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 57.18/23.21 | (397) e4 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (397,425) yields a new equation: % 57.18/23.21 | (676) e3 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (676) can reduce 80 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (734) ~ (unit = e0) % 57.18/23.21 | (735) unit = e3 | unit = e1 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (735), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (736) unit = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (736) can reduce 734 to: % 57.18/23.21 | (233) ~ (e1 = e0) % 57.18/23.21 | % 57.18/23.21 | From (736) and (244) follows: % 57.18/23.21 | (738) op(e1, e4) = e4 % 57.18/23.21 | % 57.18/23.21 | From (736) and (24) follows: % 57.18/23.21 | (1934) op(e1, e3) = e3 % 57.18/23.21 | % 57.18/23.21 | From (736) and (15) follows: % 57.18/23.21 | (515) op(e1, e2) = e2 % 57.18/23.21 | % 57.18/23.21 | From (736) and (28) follows: % 57.18/23.21 | (740) op(e1, e1) = e1 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 57.18/23.21 | (397) e4 = e0 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 57.18/23.21 | (425) e4 = e3 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.18/23.21 | (662) e3 = e2 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 57.18/23.21 | (617) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Combining equations (397,425) yields a new equation: % 57.18/23.21 | (676) e3 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (676,662) yields a new equation: % 57.18/23.21 | (330) e2 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (617,330) yields a new equation: % 57.18/23.21 | (546) e1 = e0 % 57.18/23.21 | % 57.18/23.21 | Simplifying 546 yields: % 57.18/23.21 | (431) e1 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (431) can reduce 233 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (748) ~ (unit = e1) % 57.18/23.21 | (749) unit = e3 % 57.18/23.21 | % 57.18/23.21 | From (749) and (209) follows: % 57.18/23.21 | (1667) op(e3, e0) = e0 % 57.18/23.21 | % 57.18/23.21 | From (749) and (40) follows: % 57.18/23.21 | (3715) op(e3, e3) = e3 % 57.18/23.21 | % 57.18/23.21 | From (749) and (32) follows: % 57.18/23.21 | (5793) op(e2, e3) = e2 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 57.18/23.21 | (455) e3 = e1 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.18/23.21 | (676) e3 = e0 % 57.18/23.21 | % 57.18/23.21 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 57.18/23.21 | (662) e3 = e2 % 57.18/23.21 | % 57.18/23.21 | Combining equations (676,662) yields a new equation: % 57.18/23.21 | (330) e2 = e0 % 57.18/23.21 | % 57.18/23.21 | Combining equations (455,662) yields a new equation: % 57.18/23.21 | (617) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Combining equations (617,330) yields a new equation: % 57.18/23.21 | (546) e1 = e0 % 57.18/23.21 | % 57.18/23.21 | Simplifying 546 yields: % 57.18/23.21 | (431) e1 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (431) can reduce 233 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (511) ~ (all_0_56_56 = e2) % 57.18/23.21 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (385), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (1105) all_0_47_47 = e2 % 57.18/23.21 | % 57.18/23.21 | Combining equations (1105,654) yields a new equation: % 57.18/23.21 | (616) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Simplifying 616 yields: % 57.18/23.21 | (617) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (617) can reduce 122 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (338) ~ (all_0_47_47 = e2) % 57.18/23.21 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (1108), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (504) all_0_51_51 = e2 % 57.18/23.21 | % 57.18/23.21 | Combining equations (660,504) yields a new equation: % 57.18/23.21 | (661) e3 = e2 % 57.18/23.21 | % 57.18/23.21 | Simplifying 661 yields: % 57.18/23.21 | (662) e3 = e2 % 57.18/23.21 | % 57.18/23.21 | Equations (662) can reduce 212 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (1099) ~ (all_0_51_51 = e2) % 57.18/23.21 | (833) all_0_56_56 = e2 % 57.18/23.21 | % 57.18/23.21 | Equations (833) can reduce 511 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (1401) ~ (all_0_40_40 = e0) % 57.18/23.21 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (320), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (471) all_0_39_39 = e4 % 57.18/23.21 | % 57.18/23.21 | Equations (471) can reduce 176 to: % 57.18/23.21 | (7398) ~ (all_0_40_40 = e4) % 57.18/23.21 | % 57.18/23.21 | Simplifying 7398 yields: % 57.18/23.21 | (447) ~ (all_0_40_40 = e4) % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (150), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (1378) all_0_40_40 = e4 % 57.18/23.21 | % 57.18/23.21 | Equations (1378) can reduce 447 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (447) ~ (all_0_40_40 = e4) % 57.18/23.21 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (316), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (1378) all_0_40_40 = e4 % 57.18/23.21 | % 57.18/23.21 | Equations (1378) can reduce 447 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (447) ~ (all_0_40_40 = e4) % 57.18/23.21 | (485) all_0_40_40 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (485) can reduce 1401 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.21 | (480) all_0_39_39 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (480) can reduce 484 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (340) ~ (all_0_49_49 = e2) % 57.18/23.21 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (75), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (485) all_0_40_40 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (485) can reduce 296 to: % 57.18/23.21 | (365) ~ (e2 = e0) % 57.18/23.21 | % 57.18/23.21 | Simplifying 365 yields: % 57.18/23.21 | (128) ~ (e2 = e0) % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (633), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (1569) all_0_56_56 = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (1569) can reduce 466 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (466) ~ (all_0_56_56 = e1) % 57.18/23.21 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (1574), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (647) all_0_57_57 = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (647) can reduce 344 to: % 57.18/23.21 | (604) ~ (e2 = e1) % 57.18/23.21 | % 57.18/23.21 | Simplifying 604 yields: % 57.18/23.21 | (122) ~ (e2 = e1) % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (10171), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (1105) all_0_47_47 = e2 % 57.18/23.21 | % 57.18/23.21 | Combining equations (654,1105) yields a new equation: % 57.18/23.21 | (617) e2 = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (617) can reduce 122 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (338) ~ (all_0_47_47 = e2) % 57.18/23.21 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (10761), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (335) all_0_48_48 = e2 % 57.18/23.21 | % 57.18/23.21 | Combining equations (1279,335) yields a new equation: % 57.18/23.21 | (330) e2 = e0 % 57.18/23.21 | % 57.18/23.21 | Equations (330) can reduce 128 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (810) ~ (all_0_48_48 = e2) % 57.18/23.21 | (583) all_0_49_49 = e2 % 57.18/23.21 | % 57.18/23.21 | Equations (583) can reduce 340 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (1670) ~ (all_0_57_57 = e1) % 57.18/23.21 | (918) all_0_58_58 = e1 % 57.18/23.21 | % 57.18/23.21 | Equations (918) can reduce 880 to: % 57.18/23.21 | (266) $false % 57.18/23.21 | % 57.18/23.21 |-The branch is then unsatisfiable % 57.18/23.21 |-Branch two: % 57.18/23.21 | (1401) ~ (all_0_40_40 = e0) % 57.18/23.21 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.18/23.21 | % 57.18/23.21 +-Applying beta-rule and splitting (320), into two cases. % 57.18/23.21 |-Branch one: % 57.18/23.21 | (471) all_0_39_39 = e4 % 57.18/23.21 | % 57.18/23.21 | Equations (471) can reduce 176 to: % 57.18/23.22 | (7398) ~ (all_0_40_40 = e4) % 57.18/23.22 | % 57.18/23.22 | Simplifying 7398 yields: % 57.18/23.22 | (447) ~ (all_0_40_40 = e4) % 57.18/23.22 | % 57.18/23.22 +-Applying beta-rule and splitting (150), into two cases. % 57.18/23.22 |-Branch one: % 57.18/23.22 | (1378) all_0_40_40 = e4 % 57.18/23.22 | % 57.18/23.22 | Equations (1378) can reduce 447 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (447) ~ (all_0_40_40 = e4) % 57.18/23.22 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.18/23.22 | % 57.18/23.22 +-Applying beta-rule and splitting (316), into two cases. % 57.18/23.22 |-Branch one: % 57.18/23.22 | (1378) all_0_40_40 = e4 % 57.18/23.22 | % 57.18/23.22 | Equations (1378) can reduce 447 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (447) ~ (all_0_40_40 = e4) % 57.18/23.22 | (485) all_0_40_40 = e0 % 57.18/23.22 | % 57.18/23.22 | Equations (485) can reduce 1401 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (1377) ~ (all_0_39_39 = e4) % 57.18/23.22 | (480) all_0_39_39 = e0 % 57.18/23.22 | % 57.18/23.22 | Equations (480) can reduce 484 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.18/23.22 | % 57.18/23.22 | Applying alpha-rule on (819) yields: % 57.18/23.22 | (674) all_0_47_47 = e0 % 57.18/23.22 | (624) all_0_58_58 = e2 % 57.18/23.22 | (340) ~ (all_0_49_49 = e2) % 57.18/23.22 | % 57.18/23.22 | Equations (674) can reduce 678 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.18/23.22 | % 57.18/23.22 | Applying alpha-rule on (825) yields: % 57.18/23.22 | (674) all_0_47_47 = e0 % 57.18/23.22 | (624) all_0_58_58 = e2 % 57.18/23.22 | (828) ~ (all_0_56_56 = e0) % 57.18/23.22 | % 57.18/23.22 | Equations (674) can reduce 678 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (1283) ~ (all_0_48_48 = e0) % 57.18/23.22 | (875) all_0_57_57 = e0 % 57.18/23.22 | % 57.18/23.22 | Equations (875) can reduce 364 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (803) ~ (all_0_55_55 = e0) % 57.18/23.22 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 57.18/23.22 | % 57.18/23.22 +-Applying beta-rule and splitting (2315), into two cases. % 57.18/23.22 |-Branch one: % 57.18/23.22 | (629) all_0_55_55 = e1 % 57.18/23.22 | % 57.18/23.22 | Equations (629) can reduce 632 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.18/23.22 |-Branch two: % 57.18/23.22 | (632) ~ (all_0_55_55 = e1) % 57.18/23.22 | (2336) all_0_55_55 = e3 % 57.18/23.22 | % 57.18/23.22 | Equations (2336) can reduce 270 to: % 57.18/23.22 | (266) $false % 57.18/23.22 | % 57.18/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (358) ~ (all_0_42_42 = e0) % 57.35/23.22 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (2510), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (459) all_0_42_42 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 1380 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (1380) ~ (all_0_42_42 = e1) % 57.35/23.22 | (516) all_0_42_42 = e3 % 57.35/23.22 | % 57.35/23.22 | Equations (516) can reduce 405 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (457) ~ (all_0_41_41 = e1) % 57.35/23.22 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (458), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (459) all_0_42_42 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 145 to: % 57.35/23.22 | (151) ~ (all_0_39_39 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 214 to: % 57.35/23.22 | (457) ~ (all_0_41_41 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 198 to: % 57.35/23.22 | (461) ~ (all_0_47_47 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 461 yields: % 57.35/23.22 | (462) ~ (all_0_47_47 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 236 to: % 57.35/23.22 | (465) ~ (all_0_56_56 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 465 yields: % 57.35/23.22 | (466) ~ (all_0_56_56 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 1890 to: % 57.35/23.22 | (602) ~ (e4 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 602 yields: % 57.35/23.22 | (110) ~ (e4 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (459) can reduce 405 to: % 57.35/23.22 | (467) ~ (e3 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 467 yields: % 57.35/23.22 | (213) ~ (e3 = e1) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (550), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (654) all_0_47_47 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (654) can reduce 462 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (462) ~ (all_0_47_47 = e1) % 57.35/23.22 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (18), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (453) all_0_41_41 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (453) can reduce 457 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (457) ~ (all_0_41_41 = e1) % 57.35/23.22 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (165), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (794) all_0_41_41 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (794) can reduce 191 to: % 57.35/23.22 | (4444) ~ (all_0_55_55 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 4444 yields: % 57.35/23.22 | (803) ~ (all_0_55_55 = e0) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (174), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (386) all_0_55_55 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (386) can reduce 304 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (304) ~ (all_0_55_55 = e2) % 57.35/23.22 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (659), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (615) all_0_48_48 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (615) can reduce 114 to: % 57.35/23.22 | (462) ~ (all_0_47_47 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (615) can reduce 239 to: % 57.35/23.22 | (2437) ~ (all_0_57_57 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 2437 yields: % 57.35/23.22 | (1670) ~ (all_0_57_57 = e1) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (216), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (629) all_0_55_55 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (629) can reduce 153 to: % 57.35/23.22 | (465) ~ (all_0_56_56 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 465 yields: % 57.35/23.22 | (466) ~ (all_0_56_56 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (629) can reduce 304 to: % 57.35/23.22 | (604) ~ (e2 = e1) % 57.35/23.22 | % 57.35/23.22 | Simplifying 604 yields: % 57.35/23.22 | (122) ~ (e2 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (629) can reduce 803 to: % 57.35/23.22 | (233) ~ (e1 = e0) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (5471), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (1279) all_0_48_48 = e0 % 57.35/23.22 | % 57.35/23.22 | Combining equations (615,1279) yields a new equation: % 57.35/23.22 | (546) e1 = e0 % 57.35/23.22 | % 57.35/23.22 | Simplifying 546 yields: % 57.35/23.22 | (431) e1 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (431) can reduce 233 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (1283) ~ (all_0_48_48 = e0) % 57.35/23.22 | (875) all_0_57_57 = e0 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (75), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (485) all_0_40_40 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (485) can reduce 200 to: % 57.35/23.22 | (486) ~ (all_0_49_49 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 486 yields: % 57.35/23.22 | (487) ~ (all_0_49_49 = e0) % 57.35/23.22 | % 57.35/23.22 | Equations (485) can reduce 2 to: % 57.35/23.22 | (541) ~ (e3 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 541 yields: % 57.35/23.22 | (80) ~ (e3 = e0) % 57.35/23.22 | % 57.35/23.22 | Equations (485) can reduce 296 to: % 57.35/23.22 | (365) ~ (e2 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 365 yields: % 57.35/23.22 | (128) ~ (e2 = e0) % 57.35/23.22 | % 57.35/23.22 | Equations (485) can reduce 132 to: % 57.35/23.22 | (435) ~ (e1 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 435 yields: % 57.35/23.22 | (233) ~ (e1 = e0) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (184), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (538) all_0_46_46 = e0 % 57.35/23.22 | % 57.35/23.22 | Combining equations (538,1557) yields a new equation: % 57.35/23.22 | (676) e3 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (676) can reduce 80 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (831) ~ (all_0_46_46 = e0) % 57.35/23.22 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (832), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (674) all_0_47_47 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (674) can reduce 79 to: % 57.35/23.22 | (484) ~ (all_0_39_39 = e0) % 57.35/23.22 | % 57.35/23.22 | Equations (674) can reduce 86 to: % 57.35/23.22 | (486) ~ (all_0_49_49 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 486 yields: % 57.35/23.22 | (487) ~ (all_0_49_49 = e0) % 57.35/23.22 | % 57.35/23.22 | Equations (674) can reduce 462 to: % 57.35/23.22 | (435) ~ (e1 = e0) % 57.35/23.22 | % 57.35/23.22 | Simplifying 435 yields: % 57.35/23.22 | (233) ~ (e1 = e0) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (54), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (583) all_0_49_49 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (583) can reduce 119 to: % 57.35/23.22 | (1186) ~ (all_0_58_58 = e2) % 57.35/23.22 | % 57.35/23.22 | Simplifying 1186 yields: % 57.35/23.22 | (908) ~ (all_0_58_58 = e2) % 57.35/23.22 | % 57.35/23.22 | Equations (583) can reduce 487 to: % 57.35/23.22 | (128) ~ (e2 = e0) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (389), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (833) all_0_56_56 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (833) can reduce 154 to: % 57.35/23.22 | (294) ~ (all_0_39_39 = e2) % 57.35/23.22 | % 57.35/23.22 | Equations (833) can reduce 44 to: % 57.35/23.22 | (1186) ~ (all_0_58_58 = e2) % 57.35/23.22 | % 57.35/23.22 | Simplifying 1186 yields: % 57.35/23.22 | (908) ~ (all_0_58_58 = e2) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (164), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (471) all_0_39_39 = e4 % 57.35/23.22 | % 57.35/23.22 | Equations (471) can reduce 246 to: % 57.35/23.22 | (188) ~ (e4 = e3) % 57.35/23.22 | % 57.35/23.22 | Equations (471) can reduce 294 to: % 57.35/23.22 | (48) ~ (e4 = e2) % 57.35/23.22 | % 57.35/23.22 | Equations (471) can reduce 151 to: % 57.35/23.22 | (110) ~ (e4 = e1) % 57.35/23.22 | % 57.35/23.22 | Equations (471) can reduce 484 to: % 57.35/23.22 | (49) ~ (e4 = e0) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (108), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (624) all_0_58_58 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (624) can reduce 908 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (908) ~ (all_0_58_58 = e2) % 57.35/23.22 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (171), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (265) all_0_54_54 = e4 % 57.35/23.22 | % 57.35/23.22 | Combining equations (268,265) yields a new equation: % 57.35/23.22 | (425) e4 = e3 % 57.35/23.22 | % 57.35/23.22 | Equations (425) can reduce 188 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (258) ~ (all_0_54_54 = e4) % 57.35/23.22 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (163), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (565) all_0_52_52 = e4 % 57.35/23.22 | % 57.35/23.22 | Combining equations (565,352) yields a new equation: % 57.35/23.22 | (322) e4 = e2 % 57.35/23.22 | % 57.35/23.22 | Simplifying 322 yields: % 57.35/23.22 | (323) e4 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (323) can reduce 48 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (780) ~ (all_0_52_52 = e4) % 57.35/23.22 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.35/23.22 | % 57.35/23.22 | Equations (352) can reduce 780 to: % 57.35/23.22 | (327) ~ (e4 = e2) % 57.35/23.22 | % 57.35/23.22 | Simplifying 327 yields: % 57.35/23.22 | (48) ~ (e4 = e2) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (575), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (587) all_0_55_55 = e4 % 57.35/23.22 | % 57.35/23.22 | Combining equations (629,587) yields a new equation: % 57.35/23.22 | (630) e4 = e1 % 57.35/23.22 | % 57.35/23.22 | Equations (630) can reduce 110 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (763) ~ (all_0_55_55 = e4) % 57.35/23.22 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (764), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (842) all_0_56_56 = e4 % 57.35/23.22 | % 57.35/23.22 | Combining equations (833,842) yields a new equation: % 57.35/23.22 | (323) e4 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (323) can reduce 48 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (477) ~ (all_0_56_56 = e4) % 57.35/23.22 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (935), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (871) all_0_57_57 = e4 % 57.35/23.22 | % 57.35/23.22 | Combining equations (871,875) yields a new equation: % 57.35/23.22 | (481) e4 = e0 % 57.35/23.22 | % 57.35/23.22 | Simplifying 481 yields: % 57.35/23.22 | (397) e4 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (397) can reduce 49 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (839) ~ (all_0_57_57 = e4) % 57.35/23.22 | (910) all_0_58_58 = e4 % 57.35/23.22 | % 57.35/23.22 | Equations (910) can reduce 276 to: % 57.35/23.22 | (188) ~ (e4 = e3) % 57.35/23.22 | % 57.35/23.22 | Equations (910) can reduce 908 to: % 57.35/23.22 | (48) ~ (e4 = e2) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (781), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (789), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (790), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (791), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.35/23.22 | % 57.35/23.22 +-Applying beta-rule and splitting (792), into two cases. % 57.35/23.22 |-Branch one: % 57.35/23.22 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.35/23.22 | % 57.35/23.22 | Applying alpha-rule on (793) yields: % 57.35/23.22 | (794) all_0_41_41 = e0 % 57.35/23.22 | (795) all_0_58_58 = e3 % 57.35/23.22 | (407) ~ (all_0_44_44 = e3) % 57.35/23.22 | % 57.35/23.22 | Combining equations (795,910) yields a new equation: % 57.35/23.22 | (425) e4 = e3 % 57.35/23.22 | % 57.35/23.22 | Equations (425) can reduce 188 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.35/23.22 | % 57.35/23.22 | Applying alpha-rule on (800) yields: % 57.35/23.22 | (794) all_0_41_41 = e0 % 57.35/23.22 | (795) all_0_58_58 = e3 % 57.35/23.22 | (803) ~ (all_0_55_55 = e0) % 57.35/23.22 | % 57.35/23.22 | Combining equations (795,910) yields a new equation: % 57.35/23.22 | (425) e4 = e3 % 57.35/23.22 | % 57.35/23.22 | Equations (425) can reduce 188 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.35/23.22 | % 57.35/23.22 | Applying alpha-rule on (807) yields: % 57.35/23.22 | (654) all_0_47_47 = e1 % 57.35/23.22 | (352) all_0_52_52 = e2 % 57.35/23.22 | (810) ~ (all_0_48_48 = e2) % 57.35/23.22 | % 57.35/23.22 | Combining equations (674,654) yields a new equation: % 57.35/23.22 | (431) e1 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (431) can reduce 233 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.35/23.22 | % 57.35/23.22 | Applying alpha-rule on (813) yields: % 57.35/23.22 | (654) all_0_47_47 = e1 % 57.35/23.22 | (352) all_0_52_52 = e2 % 57.35/23.22 | (464) ~ (all_0_51_51 = e1) % 57.35/23.22 | % 57.35/23.22 | Combining equations (674,654) yields a new equation: % 57.35/23.22 | (431) e1 = e0 % 57.35/23.22 | % 57.35/23.22 | Equations (431) can reduce 233 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.35/23.22 | % 57.35/23.22 | Applying alpha-rule on (819) yields: % 57.35/23.22 | (674) all_0_47_47 = e0 % 57.35/23.22 | (624) all_0_58_58 = e2 % 57.35/23.22 | (340) ~ (all_0_49_49 = e2) % 57.35/23.22 | % 57.35/23.22 | Combining equations (910,624) yields a new equation: % 57.35/23.22 | (322) e4 = e2 % 57.35/23.22 | % 57.35/23.22 | Simplifying 322 yields: % 57.35/23.22 | (323) e4 = e2 % 57.35/23.22 | % 57.35/23.22 | Equations (323) can reduce 48 to: % 57.35/23.22 | (266) $false % 57.35/23.22 | % 57.35/23.22 |-The branch is then unsatisfiable % 57.35/23.22 |-Branch two: % 57.35/23.22 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.35/23.22 | % 57.35/23.22 | Applying alpha-rule on (825) yields: % 57.35/23.22 | (674) all_0_47_47 = e0 % 57.35/23.22 | (624) all_0_58_58 = e2 % 57.35/23.22 | (828) ~ (all_0_56_56 = e0) % 57.35/23.22 | % 57.35/23.23 | Combining equations (910,624) yields a new equation: % 57.35/23.23 | (322) e4 = e2 % 57.35/23.23 | % 57.35/23.23 | Simplifying 322 yields: % 57.35/23.23 | (323) e4 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (323) can reduce 48 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.23 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (320), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (471) all_0_39_39 = e4 % 57.35/23.23 | % 57.35/23.23 | Equations (471) can reduce 1377 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.23 | (480) all_0_39_39 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (480) can reduce 484 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (511) ~ (all_0_56_56 = e2) % 57.35/23.23 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (108), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 908 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (908) ~ (all_0_58_58 = e2) % 57.35/23.23 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (1709), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (442) all_0_57_57 = e2 % 57.35/23.23 | % 57.35/23.23 | Combining equations (875,442) yields a new equation: % 57.35/23.23 | (330) e2 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (330) can reduce 128 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (344) ~ (all_0_57_57 = e2) % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 908 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (340) ~ (all_0_49_49 = e2) % 57.35/23.23 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (133), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (833) all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (833) can reduce 44 to: % 57.35/23.23 | (1186) ~ (all_0_58_58 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 1186 yields: % 57.35/23.23 | (908) ~ (all_0_58_58 = e2) % 57.35/23.23 | % 57.35/23.23 | Equations (833) can reduce 466 to: % 57.35/23.23 | (122) ~ (e2 = e1) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (108), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 908 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (908) ~ (all_0_58_58 = e2) % 57.35/23.23 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (377), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (583) all_0_49_49 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (583) can reduce 340 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (340) ~ (all_0_49_49 = e2) % 57.35/23.23 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (614), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (607) all_0_53_53 = e2 % 57.35/23.23 | % 57.35/23.23 | Combining equations (1208,607) yields a new equation: % 57.35/23.23 | (617) e2 = e1 % 57.35/23.23 | % 57.35/23.23 | Equations (617) can reduce 122 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (509) ~ (all_0_53_53 = e2) % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 908 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (511) ~ (all_0_56_56 = e2) % 57.35/23.23 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (385), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1105) all_0_47_47 = e2 % 57.35/23.23 | % 57.35/23.23 | Combining equations (674,1105) yields a new equation: % 57.35/23.23 | (330) e2 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (330) can reduce 128 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (1108), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (504) all_0_51_51 = e2 % 57.35/23.23 | % 57.35/23.23 | Combining equations (504,660) yields a new equation: % 57.35/23.23 | (662) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (662) can reduce 212 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1099) ~ (all_0_51_51 = e2) % 57.35/23.23 | (833) all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (833) can reduce 511 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (678) ~ (all_0_47_47 = e0) % 57.35/23.23 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (1278), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1279) all_0_48_48 = e0 % 57.35/23.23 | % 57.35/23.23 | Combining equations (615,1279) yields a new equation: % 57.35/23.23 | (546) e1 = e0 % 57.35/23.23 | % 57.35/23.23 | Simplifying 546 yields: % 57.35/23.23 | (431) e1 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (431) can reduce 233 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1283) ~ (all_0_48_48 = e0) % 57.35/23.23 | (978) all_0_49_49 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (978) can reduce 487 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1401) ~ (all_0_40_40 = e0) % 57.35/23.23 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (316), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1378) all_0_40_40 = e4 % 57.35/23.23 | % 57.35/23.23 | Equations (1378) can reduce 200 to: % 57.35/23.23 | (255) ~ (all_0_49_49 = e4) % 57.35/23.23 | % 57.35/23.23 | Simplifying 255 yields: % 57.35/23.23 | (256) ~ (all_0_49_49 = e4) % 57.35/23.23 | % 57.35/23.23 | Equations (1378) can reduce 178 to: % 57.35/23.23 | (450) ~ (all_0_58_58 = e4) % 57.35/23.23 | % 57.35/23.23 | Simplifying 450 yields: % 57.35/23.23 | (451) ~ (all_0_58_58 = e4) % 57.35/23.23 | % 57.35/23.23 | Equations (1378) can reduce 1401 to: % 57.35/23.23 | (49) ~ (e4 = e0) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (108), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 44 to: % 57.35/23.23 | (511) ~ (all_0_56_56 = e2) % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 451 to: % 57.35/23.23 | (327) ~ (e4 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 327 yields: % 57.35/23.23 | (48) ~ (e4 = e2) % 57.35/23.23 | % 57.35/23.23 | Equations (624) can reduce 276 to: % 57.35/23.23 | (626) ~ (e3 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 626 yields: % 57.35/23.23 | (212) ~ (e3 = e2) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (133), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (833) all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (833) can reduce 511 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (511) ~ (all_0_56_56 = e2) % 57.35/23.23 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (163), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (565) all_0_52_52 = e4 % 57.35/23.23 | % 57.35/23.23 | Combining equations (352,565) yields a new equation: % 57.35/23.23 | (323) e4 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (323) can reduce 48 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (780) ~ (all_0_52_52 = e4) % 57.35/23.23 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (333), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (480) all_0_39_39 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (480) can reduce 79 to: % 57.35/23.23 | (1402) ~ (all_0_47_47 = e0) % 57.35/23.23 | % 57.35/23.23 | Simplifying 1402 yields: % 57.35/23.23 | (678) ~ (all_0_47_47 = e0) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (10171), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1105) all_0_47_47 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 1091 to: % 57.35/23.23 | (626) ~ (e3 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 626 yields: % 57.35/23.23 | (212) ~ (e3 = e2) % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 462 to: % 57.35/23.23 | (122) ~ (e2 = e1) % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 678 to: % 57.35/23.23 | (128) ~ (e2 = e0) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (781), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (789), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (790), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (791), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (792), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.35/23.23 | % 57.35/23.23 | Applying alpha-rule on (793) yields: % 57.35/23.23 | (794) all_0_41_41 = e0 % 57.35/23.23 | (795) all_0_58_58 = e3 % 57.35/23.23 | (407) ~ (all_0_44_44 = e3) % 57.35/23.23 | % 57.35/23.23 | Combining equations (795,624) yields a new equation: % 57.35/23.23 | (661) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Simplifying 661 yields: % 57.35/23.23 | (662) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (662) can reduce 212 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.35/23.23 | % 57.35/23.23 | Applying alpha-rule on (800) yields: % 57.35/23.23 | (794) all_0_41_41 = e0 % 57.35/23.23 | (795) all_0_58_58 = e3 % 57.35/23.23 | (803) ~ (all_0_55_55 = e0) % 57.35/23.23 | % 57.35/23.23 | Combining equations (795,624) yields a new equation: % 57.35/23.23 | (661) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Simplifying 661 yields: % 57.35/23.23 | (662) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (662) can reduce 212 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.35/23.23 | % 57.35/23.23 | Applying alpha-rule on (807) yields: % 57.35/23.23 | (654) all_0_47_47 = e1 % 57.35/23.23 | (352) all_0_52_52 = e2 % 57.35/23.23 | (810) ~ (all_0_48_48 = e2) % 57.35/23.23 | % 57.35/23.23 | Combining equations (1105,654) yields a new equation: % 57.35/23.23 | (616) e2 = e1 % 57.35/23.23 | % 57.35/23.23 | Simplifying 616 yields: % 57.35/23.23 | (617) e2 = e1 % 57.35/23.23 | % 57.35/23.23 | Equations (617) can reduce 122 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.35/23.23 | % 57.35/23.23 | Applying alpha-rule on (813) yields: % 57.35/23.23 | (654) all_0_47_47 = e1 % 57.35/23.23 | (352) all_0_52_52 = e2 % 57.35/23.23 | (464) ~ (all_0_51_51 = e1) % 57.35/23.23 | % 57.35/23.23 | Combining equations (1105,654) yields a new equation: % 57.35/23.23 | (616) e2 = e1 % 57.35/23.23 | % 57.35/23.23 | Simplifying 616 yields: % 57.35/23.23 | (617) e2 = e1 % 57.35/23.23 | % 57.35/23.23 | Equations (617) can reduce 122 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.35/23.23 | % 57.35/23.23 | Applying alpha-rule on (819) yields: % 57.35/23.23 | (674) all_0_47_47 = e0 % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | (340) ~ (all_0_49_49 = e2) % 57.35/23.23 | % 57.35/23.23 | Combining equations (1105,674) yields a new equation: % 57.35/23.23 | (391) e2 = e0 % 57.35/23.23 | % 57.35/23.23 | Simplifying 391 yields: % 57.35/23.23 | (330) e2 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (330) can reduce 128 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.35/23.23 | % 57.35/23.23 | Applying alpha-rule on (825) yields: % 57.35/23.23 | (674) all_0_47_47 = e0 % 57.35/23.23 | (624) all_0_58_58 = e2 % 57.35/23.23 | (828) ~ (all_0_56_56 = e0) % 57.35/23.23 | % 57.35/23.23 | Combining equations (1105,674) yields a new equation: % 57.35/23.23 | (391) e2 = e0 % 57.35/23.23 | % 57.35/23.23 | Simplifying 391 yields: % 57.35/23.23 | (330) e2 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (330) can reduce 128 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (105), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1105) all_0_47_47 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 338 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (385), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1105) all_0_47_47 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 338 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (1108), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (504) all_0_51_51 = e2 % 57.35/23.23 | % 57.35/23.23 | Combining equations (660,504) yields a new equation: % 57.35/23.23 | (661) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Simplifying 661 yields: % 57.35/23.23 | (662) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (662) can reduce 212 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1099) ~ (all_0_51_51 = e2) % 57.35/23.23 | (833) all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (833) can reduce 511 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (484) ~ (all_0_39_39 = e0) % 57.35/23.23 | (485) all_0_40_40 = e0 % 57.35/23.23 | % 57.35/23.23 | Combining equations (485,1378) yields a new equation: % 57.35/23.23 | (397) e4 = e0 % 57.35/23.23 | % 57.35/23.23 | Equations (397) can reduce 49 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (908) ~ (all_0_58_58 = e2) % 57.35/23.23 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (377), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (583) all_0_49_49 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (583) can reduce 86 to: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | % 57.35/23.23 | Equations (583) can reduce 256 to: % 57.35/23.23 | (327) ~ (e4 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 327 yields: % 57.35/23.23 | (48) ~ (e4 = e2) % 57.35/23.23 | % 57.35/23.23 | Equations (583) can reduce 525 to: % 57.35/23.23 | (626) ~ (e3 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 626 yields: % 57.35/23.23 | (212) ~ (e3 = e2) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (105), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1105) all_0_47_47 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 338 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (385), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (1105) all_0_47_47 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (1105) can reduce 338 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (338) ~ (all_0_47_47 = e2) % 57.35/23.23 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (1108), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (504) all_0_51_51 = e2 % 57.35/23.23 | % 57.35/23.23 | Combining equations (660,504) yields a new equation: % 57.35/23.23 | (661) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Simplifying 661 yields: % 57.35/23.23 | (662) e3 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (662) can reduce 212 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (1099) ~ (all_0_51_51 = e2) % 57.35/23.23 | (833) all_0_56_56 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (833) can reduce 44 to: % 57.35/23.23 | (1186) ~ (all_0_58_58 = e2) % 57.35/23.23 | % 57.35/23.23 | Simplifying 1186 yields: % 57.35/23.23 | (908) ~ (all_0_58_58 = e2) % 57.35/23.23 | % 57.35/23.23 +-Applying beta-rule and splitting (163), into two cases. % 57.35/23.23 |-Branch one: % 57.35/23.23 | (565) all_0_52_52 = e4 % 57.35/23.23 | % 57.35/23.23 | Combining equations (565,352) yields a new equation: % 57.35/23.23 | (322) e4 = e2 % 57.35/23.23 | % 57.35/23.23 | Simplifying 322 yields: % 57.35/23.23 | (323) e4 = e2 % 57.35/23.23 | % 57.35/23.23 | Equations (323) can reduce 48 to: % 57.35/23.23 | (266) $false % 57.35/23.23 | % 57.35/23.23 |-The branch is then unsatisfiable % 57.35/23.23 |-Branch two: % 57.35/23.23 | (780) ~ (all_0_52_52 = e4) % 57.35/23.23 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (781), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (789), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (790), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (791), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (792), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.35/23.24 | % 57.35/23.24 | Applying alpha-rule on (793) yields: % 57.35/23.24 | (794) all_0_41_41 = e0 % 57.35/23.24 | (795) all_0_58_58 = e3 % 57.35/23.24 | (407) ~ (all_0_44_44 = e3) % 57.35/23.24 | % 57.35/23.24 | Equations (795) can reduce 276 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.35/23.24 | % 57.35/23.24 | Applying alpha-rule on (800) yields: % 57.35/23.24 | (794) all_0_41_41 = e0 % 57.35/23.24 | (795) all_0_58_58 = e3 % 57.35/23.24 | (803) ~ (all_0_55_55 = e0) % 57.35/23.24 | % 57.35/23.24 | Equations (795) can reduce 276 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.35/23.24 | % 57.35/23.24 | Applying alpha-rule on (807) yields: % 57.35/23.24 | (654) all_0_47_47 = e1 % 57.35/23.24 | (352) all_0_52_52 = e2 % 57.35/23.24 | (810) ~ (all_0_48_48 = e2) % 57.35/23.24 | % 57.35/23.24 | Equations (654) can reduce 462 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.35/23.24 | % 57.35/23.24 | Applying alpha-rule on (813) yields: % 57.35/23.24 | (654) all_0_47_47 = e1 % 57.35/23.24 | (352) all_0_52_52 = e2 % 57.35/23.24 | (464) ~ (all_0_51_51 = e1) % 57.35/23.24 | % 57.35/23.24 | Equations (654) can reduce 462 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.35/23.24 | % 57.35/23.24 | Applying alpha-rule on (819) yields: % 57.35/23.24 | (674) all_0_47_47 = e0 % 57.35/23.24 | (624) all_0_58_58 = e2 % 57.35/23.24 | (340) ~ (all_0_49_49 = e2) % 57.35/23.24 | % 57.35/23.24 | Equations (624) can reduce 908 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.35/23.24 | % 57.35/23.24 | Applying alpha-rule on (825) yields: % 57.35/23.24 | (674) all_0_47_47 = e0 % 57.35/23.24 | (624) all_0_58_58 = e2 % 57.35/23.24 | (828) ~ (all_0_56_56 = e0) % 57.35/23.24 | % 57.35/23.24 | Equations (624) can reduce 908 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (340) ~ (all_0_49_49 = e2) % 57.35/23.24 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (614), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (607) all_0_53_53 = e2 % 57.35/23.24 | % 57.35/23.24 | Combining equations (1208,607) yields a new equation: % 57.35/23.24 | (617) e2 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (617) can reduce 122 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (509) ~ (all_0_53_53 = e2) % 57.35/23.24 | (624) all_0_58_58 = e2 % 57.35/23.24 | % 57.35/23.24 | Equations (624) can reduce 908 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (447) ~ (all_0_40_40 = e4) % 57.35/23.24 | (485) all_0_40_40 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (485) can reduce 1401 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (632) ~ (all_0_55_55 = e1) % 57.35/23.24 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (445), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (871) all_0_57_57 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (871) can reduce 839 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (839) ~ (all_0_57_57 = e4) % 57.35/23.24 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (874), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (875) all_0_57_57 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (875) can reduce 1670 to: % 57.35/23.24 | (435) ~ (e1 = e0) % 57.35/23.24 | % 57.35/23.24 | Simplifying 435 yields: % 57.35/23.24 | (233) ~ (e1 = e0) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (633), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (1569) all_0_56_56 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (1569) can reduce 466 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (466) ~ (all_0_56_56 = e1) % 57.35/23.24 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (1574), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (647) all_0_57_57 = e1 % 57.35/23.24 | % 57.35/23.24 | Combining equations (875,647) yields a new equation: % 57.35/23.24 | (431) e1 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (431) can reduce 233 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (1670) ~ (all_0_57_57 = e1) % 57.35/23.24 | (918) all_0_58_58 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (918) can reduce 880 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (364) ~ (all_0_57_57 = e0) % 57.35/23.24 | (647) all_0_57_57 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (647) can reduce 1670 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (619) ~ (all_0_48_48 = e1) % 57.35/23.24 | (671) all_0_49_49 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (671) can reduce 1064 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (357) ~ (all_0_41_41 = e0) % 57.35/23.24 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (595), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (545) all_0_46_46 = e1 % 57.35/23.24 | % 57.35/23.24 | Combining equations (545,1557) yields a new equation: % 57.35/23.24 | (455) e3 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (455) can reduce 213 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (549) ~ (all_0_46_46 = e1) % 57.35/23.24 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (600), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (601) all_0_50_50 = e1 % 57.35/23.24 | % 57.35/23.24 | Combining equations (775,601) yields a new equation: % 57.35/23.24 | (636) e4 = e1 % 57.35/23.24 | % 57.35/23.24 | Simplifying 636 yields: % 57.35/23.24 | (630) e4 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (630) can reduce 110 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (759) ~ (all_0_50_50 = e1) % 57.35/23.24 | (629) all_0_55_55 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (629) can reduce 191 to: % 57.35/23.24 | (457) ~ (all_0_41_41 = e1) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (4049), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (794) all_0_41_41 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (794) can reduce 357 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (357) ~ (all_0_41_41 = e0) % 57.35/23.24 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (4053), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (453) all_0_41_41 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (453) can reduce 457 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (457) ~ (all_0_41_41 = e1) % 57.35/23.24 | (403) all_0_41_41 = e3 % 57.35/23.24 | % 57.35/23.24 | Equations (403) can reduce 1898 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (1380) ~ (all_0_42_42 = e1) % 57.35/23.24 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (152), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (1392) all_0_42_42 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (1392) can reduce 1890 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (1890) ~ (all_0_42_42 = e4) % 57.35/23.24 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (18), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (453) all_0_41_41 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (453) can reduce 457 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (457) ~ (all_0_41_41 = e1) % 57.35/23.24 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (1969), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (559) all_0_42_42 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (559) can reduce 145 to: % 57.35/23.24 | (484) ~ (all_0_39_39 = e0) % 57.35/23.24 | % 57.35/23.24 | Equations (559) can reduce 1890 to: % 57.35/23.24 | (401) ~ (e4 = e0) % 57.35/23.24 | % 57.35/23.24 | Simplifying 401 yields: % 57.35/23.24 | (49) ~ (e4 = e0) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (333), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (480) all_0_39_39 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (480) can reduce 484 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (484) ~ (all_0_39_39 = e0) % 57.35/23.24 | (485) all_0_40_40 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (485) can reduce 132 to: % 57.35/23.24 | (435) ~ (e1 = e0) % 57.35/23.24 | % 57.35/23.24 | Simplifying 435 yields: % 57.35/23.24 | (233) ~ (e1 = e0) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (150), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (1378) all_0_40_40 = e4 % 57.35/23.24 | % 57.35/23.24 | Combining equations (1378,485) yields a new equation: % 57.35/23.24 | (481) e4 = e0 % 57.35/23.24 | % 57.35/23.24 | Simplifying 481 yields: % 57.35/23.24 | (397) e4 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (397) can reduce 49 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (447) ~ (all_0_40_40 = e4) % 57.35/23.24 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (485) can reduce 447 to: % 57.35/23.24 | (401) ~ (e4 = e0) % 57.35/23.24 | % 57.35/23.24 | Simplifying 401 yields: % 57.35/23.24 | (49) ~ (e4 = e0) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (54), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (583) all_0_49_49 = e2 % 57.35/23.24 | % 57.35/23.24 | Equations (583) can reduce 119 to: % 57.35/23.24 | (1186) ~ (all_0_58_58 = e2) % 57.35/23.24 | % 57.35/23.24 | Simplifying 1186 yields: % 57.35/23.24 | (908) ~ (all_0_58_58 = e2) % 57.35/23.24 | % 57.35/23.24 | Equations (583) can reduce 1064 to: % 57.35/23.24 | (122) ~ (e2 = e1) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (108), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (624) all_0_58_58 = e2 % 57.35/23.24 | % 57.35/23.24 | Equations (624) can reduce 908 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (908) ~ (all_0_58_58 = e2) % 57.35/23.24 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (389), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (833) all_0_56_56 = e2 % 57.35/23.24 | % 57.35/23.24 | Equations (833) can reduce 154 to: % 57.35/23.24 | (294) ~ (all_0_39_39 = e2) % 57.35/23.24 | % 57.35/23.24 | Equations (833) can reduce 91 to: % 57.35/23.24 | (338) ~ (all_0_47_47 = e2) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (131), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (459) all_0_42_42 = e1 % 57.35/23.24 | % 57.35/23.24 | Combining equations (459,559) yields a new equation: % 57.35/23.24 | (546) e1 = e0 % 57.35/23.24 | % 57.35/23.24 | Simplifying 546 yields: % 57.35/23.24 | (431) e1 = e0 % 57.35/23.24 | % 57.35/23.24 | Equations (431) can reduce 233 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (1380) ~ (all_0_42_42 = e1) % 57.35/23.24 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (326), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (471) all_0_39_39 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (471) can reduce 246 to: % 57.35/23.24 | (188) ~ (e4 = e3) % 57.35/23.24 | % 57.35/23.24 | Equations (471) can reduce 294 to: % 57.35/23.24 | (48) ~ (e4 = e2) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (171), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (265) all_0_54_54 = e4 % 57.35/23.24 | % 57.35/23.24 | Combining equations (268,265) yields a new equation: % 57.35/23.24 | (425) e4 = e3 % 57.35/23.24 | % 57.35/23.24 | Equations (425) can reduce 188 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (258) ~ (all_0_54_54 = e4) % 57.35/23.24 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (575), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (587) all_0_55_55 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (587) can reduce 763 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (763) ~ (all_0_55_55 = e4) % 57.35/23.24 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (764), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (842) all_0_56_56 = e4 % 57.35/23.24 | % 57.35/23.24 | Combining equations (842,833) yields a new equation: % 57.35/23.24 | (322) e4 = e2 % 57.35/23.24 | % 57.35/23.24 | Simplifying 322 yields: % 57.35/23.24 | (323) e4 = e2 % 57.35/23.24 | % 57.35/23.24 | Equations (323) can reduce 48 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (477) ~ (all_0_56_56 = e4) % 57.35/23.24 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (935), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (871) all_0_57_57 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (871) can reduce 839 to: % 57.35/23.24 | (266) $false % 57.35/23.24 | % 57.35/23.24 |-The branch is then unsatisfiable % 57.35/23.24 |-Branch two: % 57.35/23.24 | (839) ~ (all_0_57_57 = e4) % 57.35/23.24 | (910) all_0_58_58 = e4 % 57.35/23.24 | % 57.35/23.24 | Equations (910) can reduce 148 to: % 57.35/23.24 | (839) ~ (all_0_57_57 = e4) % 57.35/23.24 | % 57.35/23.24 +-Applying beta-rule and splitting (3259), into two cases. % 57.35/23.24 |-Branch one: % 57.35/23.24 | (654) all_0_47_47 = e1 % 57.35/23.24 | % 57.35/23.24 | Equations (654) can reduce 114 to: % 57.35/23.24 | (11581) ~ (all_0_48_48 = e1) % 57.35/23.24 | % 57.35/23.24 | Simplifying 11581 yields: % 57.35/23.24 | (619) ~ (all_0_48_48 = e1) % 57.35/23.24 | % 57.35/23.24 | Equations (654) can reduce 338 to: % 57.35/23.24 | (604) ~ (e2 = e1) % 57.35/23.24 | % 57.35/23.25 | Simplifying 604 yields: % 57.35/23.25 | (122) ~ (e2 = e1) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (434), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (615) all_0_48_48 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (615) can reduce 619 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (619) ~ (all_0_48_48 = e1) % 57.35/23.25 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (620), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (642) all_0_52_52 = e1 % 57.35/23.25 | % 57.35/23.25 | Combining equations (352,642) yields a new equation: % 57.35/23.25 | (616) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 616 yields: % 57.35/23.25 | (617) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (617) can reduce 122 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (646) ~ (all_0_52_52 = e1) % 57.35/23.25 | (647) all_0_57_57 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (647) can reduce 81 to: % 57.35/23.25 | (632) ~ (all_0_55_55 = e1) % 57.35/23.25 | % 57.35/23.25 | Equations (647) can reduce 839 to: % 57.35/23.25 | (602) ~ (e4 = e1) % 57.35/23.25 | % 57.35/23.25 | Simplifying 602 yields: % 57.35/23.25 | (110) ~ (e4 = e1) % 57.35/23.25 | % 57.35/23.25 | Equations (647) can reduce 67 to: % 57.35/23.25 | (467) ~ (e3 = e1) % 57.35/23.25 | % 57.35/23.25 | Simplifying 467 yields: % 57.35/23.25 | (213) ~ (e3 = e1) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (595), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (545) all_0_46_46 = e1 % 57.35/23.25 | % 57.35/23.25 | Combining equations (1557,545) yields a new equation: % 57.35/23.25 | (454) e3 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 454 yields: % 57.35/23.25 | (455) e3 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (455) can reduce 213 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (549) ~ (all_0_46_46 = e1) % 57.35/23.25 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (600), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (601) all_0_50_50 = e1 % 57.35/23.25 | % 57.35/23.25 | Combining equations (775,601) yields a new equation: % 57.35/23.25 | (636) e4 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 636 yields: % 57.35/23.25 | (630) e4 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (630) can reduce 110 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (759) ~ (all_0_50_50 = e1) % 57.35/23.25 | (629) all_0_55_55 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (629) can reduce 632 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (462) ~ (all_0_47_47 = e1) % 57.35/23.25 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (3264), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (1109) all_0_51_51 = e1 % 57.35/23.25 | % 57.35/23.25 | Combining equations (660,1109) yields a new equation: % 57.35/23.25 | (454) e3 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 454 yields: % 57.35/23.25 | (455) e3 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (455) can reduce 213 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (464) ~ (all_0_51_51 = e1) % 57.35/23.25 | (1569) all_0_56_56 = e1 % 57.35/23.25 | % 57.35/23.25 | Combining equations (833,1569) yields a new equation: % 57.35/23.25 | (616) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 616 yields: % 57.35/23.25 | (617) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (617) can reduce 122 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.25 | (1378) all_0_40_40 = e4 % 57.35/23.25 | % 57.35/23.25 | Combining equations (1378,485) yields a new equation: % 57.35/23.25 | (481) e4 = e0 % 57.35/23.25 | % 57.35/23.25 | Simplifying 481 yields: % 57.35/23.25 | (397) e4 = e0 % 57.35/23.25 | % 57.35/23.25 | Equations (397) can reduce 49 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (511) ~ (all_0_56_56 = e2) % 57.35/23.25 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (1709), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (442) all_0_57_57 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (442) can reduce 344 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (344) ~ (all_0_57_57 = e2) % 57.35/23.25 | (624) all_0_58_58 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (624) can reduce 908 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (340) ~ (all_0_49_49 = e2) % 57.35/23.25 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (326), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (471) all_0_39_39 = e4 % 57.35/23.25 | % 57.35/23.25 | Equations (471) can reduce 246 to: % 57.35/23.25 | (188) ~ (e4 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (471) can reduce 294 to: % 57.35/23.25 | (48) ~ (e4 = e2) % 57.35/23.25 | % 57.35/23.25 | Equations (471) can reduce 151 to: % 57.35/23.25 | (110) ~ (e4 = e1) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (171), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (265) all_0_54_54 = e4 % 57.35/23.25 | % 57.35/23.25 | Combining equations (268,265) yields a new equation: % 57.35/23.25 | (425) e4 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (425) can reduce 188 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (258) ~ (all_0_54_54 = e4) % 57.35/23.25 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.35/23.25 | % 57.35/23.25 | Equations (268) can reduce 258 to: % 57.35/23.25 | (277) ~ (e4 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 277 yields: % 57.35/23.25 | (188) ~ (e4 = e3) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (377), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (583) all_0_49_49 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (583) can reduce 340 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (340) ~ (all_0_49_49 = e2) % 57.35/23.25 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (2271), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (446) all_0_44_44 = e4 % 57.35/23.25 | % 57.35/23.25 | Combining equations (446,532) yields a new equation: % 57.35/23.25 | (424) e4 = e3 % 57.35/23.25 | % 57.35/23.25 | Simplifying 424 yields: % 57.35/23.25 | (425) e4 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (425) can reduce 188 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (1390) ~ (all_0_44_44 = e4) % 57.35/23.25 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (7998), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (974) all_0_49_49 = e4 % 57.35/23.25 | % 57.35/23.25 | Equations (974) can reduce 256 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (256) ~ (all_0_49_49 = e4) % 57.35/23.25 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (8013), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (1298) all_0_53_53 = e4 % 57.35/23.25 | % 57.35/23.25 | Combining equations (1298,1208) yields a new equation: % 57.35/23.25 | (636) e4 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 636 yields: % 57.35/23.25 | (630) e4 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (630) can reduce 110 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (1453) ~ (all_0_53_53 = e4) % 57.35/23.25 | (910) all_0_58_58 = e4 % 57.35/23.25 | % 57.35/23.25 | Equations (910) can reduce 44 to: % 57.35/23.25 | (477) ~ (all_0_56_56 = e4) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (389), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (833) all_0_56_56 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (833) can reduce 477 to: % 57.35/23.25 | (327) ~ (e4 = e2) % 57.35/23.25 | % 57.35/23.25 | Simplifying 327 yields: % 57.35/23.25 | (48) ~ (e4 = e2) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (614), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (607) all_0_53_53 = e2 % 57.35/23.25 | % 57.35/23.25 | Combining equations (1208,607) yields a new equation: % 57.35/23.25 | (617) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (617) can reduce 122 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (509) ~ (all_0_53_53 = e2) % 57.35/23.25 | (624) all_0_58_58 = e2 % 57.35/23.25 | % 57.35/23.25 | Combining equations (624,910) yields a new equation: % 57.35/23.25 | (323) e4 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (323) can reduce 48 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (511) ~ (all_0_56_56 = e2) % 57.35/23.25 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (1709), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (442) all_0_57_57 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (442) can reduce 344 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (344) ~ (all_0_57_57 = e2) % 57.35/23.25 | (624) all_0_58_58 = e2 % 57.35/23.25 | % 57.35/23.25 | Combining equations (910,624) yields a new equation: % 57.35/23.25 | (322) e4 = e2 % 57.35/23.25 | % 57.35/23.25 | Simplifying 322 yields: % 57.35/23.25 | (323) e4 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (323) can reduce 48 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.25 | (1378) all_0_40_40 = e4 % 57.35/23.25 | % 57.35/23.25 | Combining equations (1378,485) yields a new equation: % 57.35/23.25 | (481) e4 = e0 % 57.35/23.25 | % 57.35/23.25 | Simplifying 481 yields: % 57.35/23.25 | (397) e4 = e0 % 57.35/23.25 | % 57.35/23.25 | Equations (397) can reduce 49 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (358) ~ (all_0_42_42 = e0) % 57.35/23.25 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (2510), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (459) all_0_42_42 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (459) can reduce 1380 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (1380) ~ (all_0_42_42 = e1) % 57.35/23.25 | (516) all_0_42_42 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 405 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (566) ~ (all_0_50_50 = e4) % 57.35/23.25 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (1202), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (642) all_0_52_52 = e1 % 57.35/23.25 | % 57.35/23.25 | Combining equations (352,642) yields a new equation: % 57.35/23.25 | (616) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Simplifying 616 yields: % 57.35/23.25 | (617) e2 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (617) can reduce 122 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (646) ~ (all_0_52_52 = e1) % 57.35/23.25 | (1208) all_0_53_53 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (1208) can reduce 190 to: % 57.35/23.25 | (759) ~ (all_0_50_50 = e1) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (1444), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (601) all_0_50_50 = e1 % 57.35/23.25 | % 57.35/23.25 | Equations (601) can reduce 759 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (759) ~ (all_0_50_50 = e1) % 57.35/23.25 | (415) all_0_50_50 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (415) can reduce 411 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (664) ~ (all_0_51_51 = e3) % 57.35/23.25 | (665) all_0_53_53 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 903 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (407) ~ (all_0_44_44 = e3) % 57.35/23.25 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (537), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (884) all_0_49_49 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (884) can reduce 525 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (525) ~ (all_0_49_49 = e3) % 57.35/23.25 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (887), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (665) all_0_53_53 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 162 to: % 57.35/23.25 | (2) ~ (all_0_40_40 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 220 to: % 57.35/23.25 | (407) ~ (all_0_44_44 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 65 to: % 57.35/23.25 | (525) ~ (all_0_49_49 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 190 to: % 57.35/23.25 | (411) ~ (all_0_50_50 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 10 to: % 57.35/23.25 | (275) ~ (all_0_58_58 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 275 yields: % 57.35/23.25 | (276) ~ (all_0_58_58 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (665) can reduce 247 to: % 57.35/23.25 | (80) ~ (e3 = e0) % 57.35/23.25 | % 57.35/23.25 | From (665) and (84) follows: % 57.35/23.25 | (3786) op(e1, e0) = e3 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (180), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (516) all_0_42_42 = e3 % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 214 to: % 57.35/23.25 | (1898) ~ (all_0_41_41 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 73 to: % 57.35/23.25 | (406) ~ (all_0_44_44 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 406 yields: % 57.35/23.25 | (407) ~ (all_0_44_44 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 198 to: % 57.35/23.25 | (2538) ~ (all_0_47_47 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 2538 yields: % 57.35/23.25 | (1091) ~ (all_0_47_47 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 61 to: % 57.35/23.25 | (1925) ~ (all_0_51_51 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 1925 yields: % 57.35/23.25 | (664) ~ (all_0_51_51 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 236 to: % 57.35/23.25 | (271) ~ (all_0_56_56 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 271 yields: % 57.35/23.25 | (272) ~ (all_0_56_56 = e3) % 57.35/23.25 | % 57.35/23.25 | Equations (516) can reduce 1890 to: % 57.35/23.25 | (277) ~ (e4 = e3) % 57.35/23.25 | % 57.35/23.25 | Simplifying 277 yields: % 57.35/23.25 | (188) ~ (e4 = e3) % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (26), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (446) all_0_44_44 = e4 % 57.35/23.25 | % 57.35/23.25 | Equations (446) can reduce 1390 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.25 | (1390) ~ (all_0_44_44 = e4) % 57.35/23.25 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.35/23.25 | % 57.35/23.25 +-Applying beta-rule and splitting (7), into two cases. % 57.35/23.25 |-Branch one: % 57.35/23.25 | (504) all_0_51_51 = e2 % 57.35/23.25 | % 57.35/23.25 | Equations (504) can reduce 1099 to: % 57.35/23.25 | (266) $false % 57.35/23.25 | % 57.35/23.25 |-The branch is then unsatisfiable % 57.35/23.25 |-Branch two: % 57.35/23.26 | (1099) ~ (all_0_51_51 = e2) % 57.35/23.26 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (165), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (794) all_0_41_41 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (794) can reduce 149 to: % 57.35/23.26 | (359) ~ (all_0_44_44 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 359 yields: % 57.35/23.26 | (360) ~ (all_0_44_44 = e0) % 57.35/23.26 | % 57.35/23.26 | Equations (794) can reduce 191 to: % 57.35/23.26 | (4444) ~ (all_0_55_55 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 4444 yields: % 57.35/23.26 | (803) ~ (all_0_55_55 = e0) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (1391), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (1414) all_0_44_44 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (1414) can reduce 360 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (360) ~ (all_0_44_44 = e0) % 57.35/23.26 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (1417), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (635) all_0_44_44 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (635) can reduce 181 to: % 57.35/23.26 | (879) ~ (all_0_58_58 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 879 yields: % 57.35/23.26 | (880) ~ (all_0_58_58 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (635) can reduce 1390 to: % 57.35/23.26 | (602) ~ (e4 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 602 yields: % 57.35/23.26 | (110) ~ (e4 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (635) can reduce 407 to: % 57.35/23.26 | (467) ~ (e3 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 467 yields: % 57.35/23.26 | (213) ~ (e3 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (635) can reduce 147 to: % 57.35/23.26 | (604) ~ (e2 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 604 yields: % 57.35/23.26 | (122) ~ (e2 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (635) can reduce 360 to: % 57.35/23.26 | (233) ~ (e1 = e0) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (135), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (545) all_0_46_46 = e1 % 57.35/23.26 | % 57.35/23.26 | Combining equations (1557,545) yields a new equation: % 57.35/23.26 | (454) e3 = e1 % 57.35/23.26 | % 57.35/23.26 | Simplifying 454 yields: % 57.35/23.26 | (455) e3 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (455) can reduce 213 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (549) ~ (all_0_46_46 = e1) % 57.35/23.26 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (1557) can reduce 549 to: % 57.35/23.26 | (213) ~ (e3 = e1) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (18), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (453) all_0_41_41 = e1 % 57.35/23.26 | % 57.35/23.26 | Combining equations (453,794) yields a new equation: % 57.35/23.26 | (546) e1 = e0 % 57.35/23.26 | % 57.35/23.26 | Simplifying 546 yields: % 57.35/23.26 | (431) e1 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (431) can reduce 233 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (457) ~ (all_0_41_41 = e1) % 57.35/23.26 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (160), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (601) all_0_50_50 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (601) can reduce 302 to: % 57.35/23.26 | (604) ~ (e2 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 604 yields: % 57.35/23.26 | (122) ~ (e2 = e1) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (231), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (775) all_0_50_50 = e4 % 57.35/23.26 | % 57.35/23.26 | Combining equations (601,775) yields a new equation: % 57.35/23.26 | (630) e4 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (630) can reduce 110 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (566) ~ (all_0_50_50 = e4) % 57.35/23.26 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (174), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (386) all_0_55_55 = e2 % 57.35/23.26 | % 57.35/23.26 | Equations (386) can reduce 304 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (304) ~ (all_0_55_55 = e2) % 57.35/23.26 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (1071), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (1101) all_0_51_51 = e4 % 57.35/23.26 | % 57.35/23.26 | Equations (1101) can reduce 139 to: % 57.35/23.26 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.26 | % 57.35/23.26 | Equations (1101) can reduce 224 to: % 57.35/23.26 | (252) ~ (all_0_47_47 = e4) % 57.35/23.26 | % 57.35/23.26 | From (1101) and (186) follows: % 57.35/23.26 | (13720) op(e1, e2) = e4 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (320), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (471) all_0_39_39 = e4 % 57.35/23.26 | % 57.35/23.26 | Equations (471) can reduce 1377 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.26 | (480) all_0_39_39 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (480) can reduce 176 to: % 57.35/23.26 | (1400) ~ (all_0_40_40 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 1400 yields: % 57.35/23.26 | (1401) ~ (all_0_40_40 = e0) % 57.35/23.26 | % 57.35/23.26 | Equations (480) can reduce 79 to: % 57.35/23.26 | (1402) ~ (all_0_47_47 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 1402 yields: % 57.35/23.26 | (678) ~ (all_0_47_47 = e0) % 57.35/23.26 | % 57.35/23.26 | Equations (480) can reduce 1377 to: % 57.35/23.26 | (401) ~ (e4 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 401 yields: % 57.35/23.26 | (49) ~ (e4 = e0) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (326), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (471) all_0_39_39 = e4 % 57.35/23.26 | % 57.35/23.26 | Combining equations (471,480) yields a new equation: % 57.35/23.26 | (481) e4 = e0 % 57.35/23.26 | % 57.35/23.26 | Simplifying 481 yields: % 57.35/23.26 | (397) e4 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (397) can reduce 49 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (1377) ~ (all_0_39_39 = e4) % 57.35/23.26 | (1378) all_0_40_40 = e4 % 57.35/23.26 | % 57.35/23.26 | Equations (1378) can reduce 2 to: % 57.35/23.26 | (188) ~ (e4 = e3) % 57.35/23.26 | % 57.35/23.26 | Equations (1378) can reduce 296 to: % 57.35/23.26 | (48) ~ (e4 = e2) % 57.35/23.26 | % 57.35/23.26 | Equations (1378) can reduce 1401 to: % 57.35/23.26 | (49) ~ (e4 = e0) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (2051), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (587) all_0_55_55 = e4 % 57.35/23.26 | % 57.35/23.26 | Equations (587) can reduce 3 to: % 57.35/23.26 | (450) ~ (all_0_58_58 = e4) % 57.35/23.26 | % 57.35/23.26 | Simplifying 450 yields: % 57.35/23.26 | (451) ~ (all_0_58_58 = e4) % 57.35/23.26 | % 57.35/23.26 | Equations (587) can reduce 304 to: % 57.35/23.26 | (48) ~ (e4 = e2) % 57.35/23.26 | % 57.35/23.26 | From (587) and (74) follows: % 57.35/23.26 | (589) op(e0, e3) = e4 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (163), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (565) all_0_52_52 = e4 % 57.35/23.26 | % 57.35/23.26 | Combining equations (352,565) yields a new equation: % 57.35/23.26 | (323) e4 = e2 % 57.35/23.26 | % 57.35/23.26 | Equations (323) can reduce 48 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (780) ~ (all_0_52_52 = e4) % 57.35/23.26 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (781), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (789), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (790), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (791), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (792), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.35/23.26 | % 57.35/23.26 | Applying alpha-rule on (793) yields: % 57.35/23.26 | (794) all_0_41_41 = e0 % 57.35/23.26 | (795) all_0_58_58 = e3 % 57.35/23.26 | (407) ~ (all_0_44_44 = e3) % 57.35/23.26 | % 57.35/23.26 | Equations (795) can reduce 276 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.35/23.26 | % 57.35/23.26 | Applying alpha-rule on (800) yields: % 57.35/23.26 | (794) all_0_41_41 = e0 % 57.35/23.26 | (795) all_0_58_58 = e3 % 57.35/23.26 | (803) ~ (all_0_55_55 = e0) % 57.35/23.26 | % 57.35/23.26 | Equations (795) can reduce 276 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.35/23.26 | % 57.35/23.26 | Applying alpha-rule on (807) yields: % 57.35/23.26 | (654) all_0_47_47 = e1 % 57.35/23.26 | (352) all_0_52_52 = e2 % 57.35/23.26 | (810) ~ (all_0_48_48 = e2) % 57.35/23.26 | % 57.35/23.26 | Equations (654) can reduce 114 to: % 57.35/23.26 | (11581) ~ (all_0_48_48 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 11581 yields: % 57.35/23.26 | (619) ~ (all_0_48_48 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (654) can reduce 86 to: % 57.35/23.26 | (1419) ~ (all_0_49_49 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 1419 yields: % 57.35/23.26 | (1064) ~ (all_0_49_49 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (654) can reduce 91 to: % 57.35/23.26 | (465) ~ (all_0_56_56 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 465 yields: % 57.35/23.26 | (466) ~ (all_0_56_56 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (654) can reduce 252 to: % 57.35/23.26 | (602) ~ (e4 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 602 yields: % 57.35/23.26 | (110) ~ (e4 = e1) % 57.35/23.26 | % 57.35/23.26 | From (654) and (23) follows: % 57.35/23.26 | (9478) op(e2, e2) = e1 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (133), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (833) all_0_56_56 = e2 % 57.35/23.26 | % 57.35/23.26 | Equations (833) can reduce 140 to: % 57.35/23.26 | (343) ~ (all_0_57_57 = e2) % 57.35/23.26 | % 57.35/23.26 | Simplifying 343 yields: % 57.35/23.26 | (344) ~ (all_0_57_57 = e2) % 57.35/23.26 | % 57.35/23.26 | Equations (833) can reduce 466 to: % 57.35/23.26 | (122) ~ (e2 = e1) % 57.35/23.26 | % 57.35/23.26 | From (833) and (111) follows: % 57.35/23.26 | (1508) op(e0, e2) = e2 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (216), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (629) all_0_55_55 = e1 % 57.35/23.26 | % 57.35/23.26 | Combining equations (587,629) yields a new equation: % 57.35/23.26 | (636) e4 = e1 % 57.35/23.26 | % 57.35/23.26 | Simplifying 636 yields: % 57.35/23.26 | (630) e4 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (630) can reduce 110 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (632) ~ (all_0_55_55 = e1) % 57.35/23.26 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (377), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (583) all_0_49_49 = e2 % 57.35/23.26 | % 57.35/23.26 | Equations (583) can reduce 185 to: % 57.35/23.26 | (810) ~ (all_0_48_48 = e2) % 57.35/23.26 | % 57.35/23.26 | Equations (583) can reduce 1064 to: % 57.35/23.26 | (122) ~ (e2 = e1) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (10218), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (943) all_0_48_48 = e4 % 57.35/23.26 | % 57.35/23.26 | Equations (943) can reduce 254 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (254) ~ (all_0_48_48 = e4) % 57.35/23.26 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (633), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (1569) all_0_56_56 = e1 % 57.35/23.26 | % 57.35/23.26 | Combining equations (1569,833) yields a new equation: % 57.35/23.26 | (617) e2 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (617) can reduce 122 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (466) ~ (all_0_56_56 = e1) % 57.35/23.26 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (10222), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (1279) all_0_48_48 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (1279) can reduce 239 to: % 57.35/23.26 | (363) ~ (all_0_57_57 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 363 yields: % 57.35/23.26 | (364) ~ (all_0_57_57 = e0) % 57.35/23.26 | % 57.35/23.26 | Equations (1279) can reduce 254 to: % 57.35/23.26 | (401) ~ (e4 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 401 yields: % 57.35/23.26 | (49) ~ (e4 = e0) % 57.35/23.26 | % 57.35/23.26 | Equations (1279) can reduce 810 to: % 57.35/23.26 | (365) ~ (e2 = e0) % 57.35/23.26 | % 57.35/23.26 | Simplifying 365 yields: % 57.35/23.26 | (128) ~ (e2 = e0) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (125), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (858) all_0_55_55 = e0 % 57.35/23.26 | % 57.35/23.26 | Combining equations (587,858) yields a new equation: % 57.35/23.26 | (481) e4 = e0 % 57.35/23.26 | % 57.35/23.26 | Simplifying 481 yields: % 57.35/23.26 | (397) e4 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (397) can reduce 49 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (803) ~ (all_0_55_55 = e0) % 57.35/23.26 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (1574), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (647) all_0_57_57 = e1 % 57.35/23.26 | % 57.35/23.26 | Equations (647) can reduce 148 to: % 57.35/23.26 | (879) ~ (all_0_58_58 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 879 yields: % 57.35/23.26 | (880) ~ (all_0_58_58 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (647) can reduce 67 to: % 57.35/23.26 | (467) ~ (e3 = e1) % 57.35/23.26 | % 57.35/23.26 | Simplifying 467 yields: % 57.35/23.26 | (213) ~ (e3 = e1) % 57.35/23.26 | % 57.35/23.26 | Equations (647) can reduce 364 to: % 57.35/23.26 | (233) ~ (e1 = e0) % 57.35/23.26 | % 57.35/23.26 +-Applying beta-rule and splitting (863), into two cases. % 57.35/23.26 |-Branch one: % 57.35/23.26 | (679) all_0_56_56 = e0 % 57.35/23.26 | % 57.35/23.26 | Combining equations (679,833) yields a new equation: % 57.35/23.26 | (330) e2 = e0 % 57.35/23.26 | % 57.35/23.26 | Equations (330) can reduce 128 to: % 57.35/23.26 | (266) $false % 57.35/23.26 | % 57.35/23.26 |-The branch is then unsatisfiable % 57.35/23.26 |-Branch two: % 57.35/23.26 | (828) ~ (all_0_56_56 = e0) % 57.35/23.26 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.35/23.26 | % 57.35/23.27 +-Applying beta-rule and splitting (924), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (875) all_0_57_57 = e0 % 57.35/23.27 | % 57.35/23.27 | Combining equations (875,647) yields a new equation: % 57.35/23.27 | (431) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Equations (431) can reduce 233 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (364) ~ (all_0_57_57 = e0) % 57.35/23.27 | (914) all_0_58_58 = e0 % 57.35/23.27 | % 57.35/23.27 | Equations (914) can reduce 880 to: % 57.35/23.27 | (435) ~ (e1 = e0) % 57.35/23.27 | % 57.35/23.27 | Simplifying 435 yields: % 57.35/23.27 | (233) ~ (e1 = e0) % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (56), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (696) unit = e2 % 57.35/23.27 | % 57.35/23.27 | From (696) and (32) follows: % 57.35/23.27 | (698) op(e2, e2) = e2 % 57.35/23.27 | % 57.35/23.27 | From (696) and (42) follows: % 57.35/23.27 | (1613) op(e0, e2) = e0 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.35/23.27 | (617) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.35/23.27 | (330) e2 = e0 % 57.35/23.27 | % 57.35/23.27 | Combining equations (330,617) yields a new equation: % 57.35/23.27 | (431) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Equations (431) can reduce 233 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (707) ~ (unit = e2) % 57.35/23.27 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (708), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (709) unit = e4 % 57.35/23.27 | % 57.35/23.27 | From (709) and (227) follows: % 57.35/23.27 | (710) op(e4, e4) = e4 % 57.35/23.27 | % 57.35/23.27 | From (709) and (40) follows: % 57.35/23.27 | (711) op(e3, e4) = e3 % 57.35/23.27 | % 57.35/23.27 | From (709) and (32) follows: % 57.35/23.27 | (712) op(e2, e4) = e2 % 57.35/23.27 | % 57.35/23.27 | From (709) and (42) follows: % 57.35/23.27 | (713) op(e0, e4) = e0 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.35/23.27 | (630) e4 = e1 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.35/23.27 | (662) e3 = e2 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.35/23.27 | (323) e4 = e2 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.35/23.27 | (676) e3 = e0 % 57.35/23.27 | % 57.35/23.27 | Combining equations (630,323) yields a new equation: % 57.35/23.27 | (617) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Combining equations (662,676) yields a new equation: % 57.35/23.27 | (391) e2 = e0 % 57.35/23.27 | % 57.35/23.27 | Simplifying 391 yields: % 57.35/23.27 | (330) e2 = e0 % 57.35/23.27 | % 57.35/23.27 | Combining equations (617,330) yields a new equation: % 57.35/23.27 | (546) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Simplifying 546 yields: % 57.35/23.27 | (431) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Equations (431) can reduce 233 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (724) ~ (unit = e4) % 57.35/23.27 | (725) unit = e3 | unit = e1 | unit = e0 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (725), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (726) unit = e0 % 57.35/23.27 | % 57.35/23.27 | From (726) and (28) follows: % 57.35/23.27 | (2698) op(e1, e0) = e1 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 57.35/23.27 | (455) e3 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (455) can reduce 213 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (734) ~ (unit = e0) % 57.35/23.27 | (735) unit = e3 | unit = e1 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (735), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (736) unit = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (736) can reduce 734 to: % 57.35/23.27 | (233) ~ (e1 = e0) % 57.35/23.27 | % 57.35/23.27 | From (736) and (244) follows: % 57.35/23.27 | (738) op(e1, e4) = e4 % 57.35/23.27 | % 57.35/23.27 | From (736) and (15) follows: % 57.35/23.27 | (515) op(e1, e2) = e2 % 57.35/23.27 | % 57.35/23.27 | From (736) and (28) follows: % 57.35/23.27 | (740) op(e1, e1) = e1 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 57.35/23.27 | (397) e4 = e0 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 57.35/23.27 | (323) e4 = e2 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 57.35/23.27 | (617) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Combining equations (323,397) yields a new equation: % 57.35/23.27 | (391) e2 = e0 % 57.35/23.27 | % 57.35/23.27 | Simplifying 391 yields: % 57.35/23.27 | (330) e2 = e0 % 57.35/23.27 | % 57.35/23.27 | Combining equations (330,617) yields a new equation: % 57.35/23.27 | (431) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Equations (431) can reduce 233 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (748) ~ (unit = e1) % 57.35/23.27 | (749) unit = e3 % 57.35/23.27 | % 57.35/23.27 | From (749) and (211) follows: % 57.35/23.27 | (13877) op(e3, e1) = e1 % 57.35/23.27 | % 57.35/23.27 | From (749) and (42) follows: % 57.35/23.27 | (752) op(e0, e3) = e0 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 57.35/23.27 | (630) e4 = e1 % 57.35/23.27 | % 57.35/23.27 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 57.35/23.27 | (397) e4 = e0 % 57.35/23.27 | % 57.35/23.27 | Combining equations (630,397) yields a new equation: % 57.35/23.27 | (546) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Simplifying 546 yields: % 57.35/23.27 | (431) e1 = e0 % 57.35/23.27 | % 57.35/23.27 | Equations (431) can reduce 233 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (1670) ~ (all_0_57_57 = e1) % 57.35/23.27 | (918) all_0_58_58 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (918) can reduce 880 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (1283) ~ (all_0_48_48 = e0) % 57.35/23.27 | (615) all_0_48_48 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (615) can reduce 619 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (340) ~ (all_0_49_49 = e2) % 57.35/23.27 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (54), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (583) all_0_49_49 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (583) can reduce 340 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (340) ~ (all_0_49_49 = e2) % 57.35/23.27 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (434), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (615) all_0_48_48 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (615) can reduce 619 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (619) ~ (all_0_48_48 = e1) % 57.35/23.27 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (620), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (642) all_0_52_52 = e1 % 57.35/23.27 | % 57.35/23.27 | Combining equations (352,642) yields a new equation: % 57.35/23.27 | (616) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Simplifying 616 yields: % 57.35/23.27 | (617) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (617) can reduce 122 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (646) ~ (all_0_52_52 = e1) % 57.35/23.27 | (647) all_0_57_57 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (647) can reduce 344 to: % 57.35/23.27 | (604) ~ (e2 = e1) % 57.35/23.27 | % 57.35/23.27 | Simplifying 604 yields: % 57.35/23.27 | (122) ~ (e2 = e1) % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (10171), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (1105) all_0_47_47 = e2 % 57.35/23.27 | % 57.35/23.27 | Combining equations (654,1105) yields a new equation: % 57.35/23.27 | (617) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (617) can reduce 122 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (338) ~ (all_0_47_47 = e2) % 57.35/23.27 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (10761), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (335) all_0_48_48 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (335) can reduce 810 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (810) ~ (all_0_48_48 = e2) % 57.35/23.27 | (583) all_0_49_49 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (583) can reduce 340 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (511) ~ (all_0_56_56 = e2) % 57.35/23.27 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (385), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (1105) all_0_47_47 = e2 % 57.35/23.27 | % 57.35/23.27 | Combining equations (654,1105) yields a new equation: % 57.35/23.27 | (617) e2 = e1 % 57.35/23.27 | % 57.35/23.27 | Equations (617) can reduce 122 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (338) ~ (all_0_47_47 = e2) % 57.35/23.27 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (389), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (833) all_0_56_56 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (833) can reduce 511 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (511) ~ (all_0_56_56 = e2) % 57.35/23.27 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (1709), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (442) all_0_57_57 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (442) can reduce 344 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (344) ~ (all_0_57_57 = e2) % 57.35/23.27 | (624) all_0_58_58 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (624) can reduce 44 to: % 57.35/23.27 | (511) ~ (all_0_56_56 = e2) % 57.35/23.27 | % 57.35/23.27 | Equations (624) can reduce 451 to: % 57.35/23.27 | (327) ~ (e4 = e2) % 57.35/23.27 | % 57.35/23.27 | Simplifying 327 yields: % 57.35/23.27 | (48) ~ (e4 = e2) % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (1108), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (504) all_0_51_51 = e2 % 57.35/23.27 | % 57.35/23.27 | Combining equations (1101,504) yields a new equation: % 57.35/23.27 | (322) e4 = e2 % 57.35/23.27 | % 57.35/23.27 | Simplifying 322 yields: % 57.35/23.27 | (323) e4 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (323) can reduce 48 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (1099) ~ (all_0_51_51 = e2) % 57.35/23.27 | (833) all_0_56_56 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (833) can reduce 511 to: % 57.35/23.27 | (266) $false % 57.35/23.27 | % 57.35/23.27 |-The branch is then unsatisfiable % 57.35/23.27 |-Branch two: % 57.35/23.27 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.35/23.27 | % 57.35/23.27 | Applying alpha-rule on (813) yields: % 57.35/23.27 | (654) all_0_47_47 = e1 % 57.35/23.27 | (352) all_0_52_52 = e2 % 57.35/23.27 | (464) ~ (all_0_51_51 = e1) % 57.35/23.27 | % 57.35/23.27 | Equations (654) can reduce 114 to: % 57.35/23.27 | (11581) ~ (all_0_48_48 = e1) % 57.35/23.27 | % 57.35/23.27 | Simplifying 11581 yields: % 57.35/23.27 | (619) ~ (all_0_48_48 = e1) % 57.35/23.27 | % 57.35/23.27 | Equations (654) can reduce 86 to: % 57.35/23.27 | (1419) ~ (all_0_49_49 = e1) % 57.35/23.27 | % 57.35/23.27 | Simplifying 1419 yields: % 57.35/23.27 | (1064) ~ (all_0_49_49 = e1) % 57.35/23.27 | % 57.35/23.27 | Equations (654) can reduce 91 to: % 57.35/23.27 | (465) ~ (all_0_56_56 = e1) % 57.35/23.27 | % 57.35/23.27 | Simplifying 465 yields: % 57.35/23.27 | (466) ~ (all_0_56_56 = e1) % 57.35/23.27 | % 57.35/23.27 | Equations (1101) can reduce 464 to: % 57.35/23.27 | (110) ~ (e4 = e1) % 57.35/23.27 | % 57.35/23.27 | From (654) and (23) follows: % 57.35/23.27 | (9478) op(e2, e2) = e1 % 57.35/23.27 | % 57.35/23.27 +-Applying beta-rule and splitting (133), into two cases. % 57.35/23.27 |-Branch one: % 57.35/23.27 | (833) all_0_56_56 = e2 % 57.35/23.27 | % 57.35/23.27 | Equations (833) can reduce 140 to: % 57.35/23.28 | (343) ~ (all_0_57_57 = e2) % 57.35/23.28 | % 57.35/23.28 | Simplifying 343 yields: % 57.35/23.28 | (344) ~ (all_0_57_57 = e2) % 57.35/23.28 | % 57.35/23.28 | Equations (833) can reduce 466 to: % 57.35/23.28 | (122) ~ (e2 = e1) % 57.35/23.28 | % 57.35/23.28 | From (833) and (111) follows: % 57.35/23.28 | (1508) op(e0, e2) = e2 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (216), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (629) all_0_55_55 = e1 % 57.35/23.28 | % 57.35/23.28 | Combining equations (587,629) yields a new equation: % 57.35/23.28 | (636) e4 = e1 % 57.35/23.28 | % 57.35/23.28 | Simplifying 636 yields: % 57.35/23.28 | (630) e4 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (630) can reduce 110 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (632) ~ (all_0_55_55 = e1) % 57.35/23.28 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (377), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (583) all_0_49_49 = e2 % 57.35/23.28 | % 57.35/23.28 | Equations (583) can reduce 185 to: % 57.35/23.28 | (810) ~ (all_0_48_48 = e2) % 57.35/23.28 | % 57.35/23.28 | Equations (583) can reduce 1064 to: % 57.35/23.28 | (122) ~ (e2 = e1) % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (10218), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (943) all_0_48_48 = e4 % 57.35/23.28 | % 57.35/23.28 | Equations (943) can reduce 254 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (254) ~ (all_0_48_48 = e4) % 57.35/23.28 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (633), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (1569) all_0_56_56 = e1 % 57.35/23.28 | % 57.35/23.28 | Combining equations (1569,833) yields a new equation: % 57.35/23.28 | (617) e2 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (617) can reduce 122 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (466) ~ (all_0_56_56 = e1) % 57.35/23.28 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (10222), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (1279) all_0_48_48 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (1279) can reduce 239 to: % 57.35/23.28 | (363) ~ (all_0_57_57 = e0) % 57.35/23.28 | % 57.35/23.28 | Simplifying 363 yields: % 57.35/23.28 | (364) ~ (all_0_57_57 = e0) % 57.35/23.28 | % 57.35/23.28 | Equations (1279) can reduce 254 to: % 57.35/23.28 | (401) ~ (e4 = e0) % 57.35/23.28 | % 57.35/23.28 | Simplifying 401 yields: % 57.35/23.28 | (49) ~ (e4 = e0) % 57.35/23.28 | % 57.35/23.28 | Equations (1279) can reduce 810 to: % 57.35/23.28 | (365) ~ (e2 = e0) % 57.35/23.28 | % 57.35/23.28 | Simplifying 365 yields: % 57.35/23.28 | (128) ~ (e2 = e0) % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (125), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (858) all_0_55_55 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (587,858) yields a new equation: % 57.35/23.28 | (481) e4 = e0 % 57.35/23.28 | % 57.35/23.28 | Simplifying 481 yields: % 57.35/23.28 | (397) e4 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (397) can reduce 49 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (803) ~ (all_0_55_55 = e0) % 57.35/23.28 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (1574), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (647) all_0_57_57 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (647) can reduce 148 to: % 57.35/23.28 | (879) ~ (all_0_58_58 = e1) % 57.35/23.28 | % 57.35/23.28 | Simplifying 879 yields: % 57.35/23.28 | (880) ~ (all_0_58_58 = e1) % 57.35/23.28 | % 57.35/23.28 | Equations (647) can reduce 67 to: % 57.35/23.28 | (467) ~ (e3 = e1) % 57.35/23.28 | % 57.35/23.28 | Simplifying 467 yields: % 57.35/23.28 | (213) ~ (e3 = e1) % 57.35/23.28 | % 57.35/23.28 | Equations (647) can reduce 364 to: % 57.35/23.28 | (233) ~ (e1 = e0) % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (863), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (679) all_0_56_56 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (679,833) yields a new equation: % 57.35/23.28 | (330) e2 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (330) can reduce 128 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (828) ~ (all_0_56_56 = e0) % 57.35/23.28 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (924), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (875) all_0_57_57 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (875,647) yields a new equation: % 57.35/23.28 | (431) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (431) can reduce 233 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (364) ~ (all_0_57_57 = e0) % 57.35/23.28 | (914) all_0_58_58 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (914) can reduce 880 to: % 57.35/23.28 | (435) ~ (e1 = e0) % 57.35/23.28 | % 57.35/23.28 | Simplifying 435 yields: % 57.35/23.28 | (233) ~ (e1 = e0) % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (56), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (696) unit = e2 % 57.35/23.28 | % 57.35/23.28 | From (696) and (32) follows: % 57.35/23.28 | (698) op(e2, e2) = e2 % 57.35/23.28 | % 57.35/23.28 | From (696) and (42) follows: % 57.35/23.28 | (1613) op(e0, e2) = e0 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.35/23.28 | (617) e2 = e1 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.35/23.28 | (330) e2 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (330,617) yields a new equation: % 57.35/23.28 | (431) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (431) can reduce 233 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (707) ~ (unit = e2) % 57.35/23.28 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (708), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (709) unit = e4 % 57.35/23.28 | % 57.35/23.28 | From (709) and (227) follows: % 57.35/23.28 | (710) op(e4, e4) = e4 % 57.35/23.28 | % 57.35/23.28 | From (709) and (40) follows: % 57.35/23.28 | (711) op(e3, e4) = e3 % 57.35/23.28 | % 57.35/23.28 | From (709) and (32) follows: % 57.35/23.28 | (712) op(e2, e4) = e2 % 57.35/23.28 | % 57.35/23.28 | From (709) and (42) follows: % 57.35/23.28 | (713) op(e0, e4) = e0 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.35/23.28 | (630) e4 = e1 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.35/23.28 | (662) e3 = e2 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.35/23.28 | (323) e4 = e2 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.35/23.28 | (676) e3 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (630,323) yields a new equation: % 57.35/23.28 | (617) e2 = e1 % 57.35/23.28 | % 57.35/23.28 | Combining equations (662,676) yields a new equation: % 57.35/23.28 | (391) e2 = e0 % 57.35/23.28 | % 57.35/23.28 | Simplifying 391 yields: % 57.35/23.28 | (330) e2 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (617,330) yields a new equation: % 57.35/23.28 | (546) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Simplifying 546 yields: % 57.35/23.28 | (431) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (431) can reduce 233 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (724) ~ (unit = e4) % 57.35/23.28 | (725) unit = e3 | unit = e1 | unit = e0 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (725), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (726) unit = e0 % 57.35/23.28 | % 57.35/23.28 | From (726) and (28) follows: % 57.35/23.28 | (2698) op(e1, e0) = e1 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 57.35/23.28 | (455) e3 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (455) can reduce 213 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (734) ~ (unit = e0) % 57.35/23.28 | (735) unit = e3 | unit = e1 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (735), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (736) unit = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (736) can reduce 734 to: % 57.35/23.28 | (233) ~ (e1 = e0) % 57.35/23.28 | % 57.35/23.28 | From (736) and (244) follows: % 57.35/23.28 | (738) op(e1, e4) = e4 % 57.35/23.28 | % 57.35/23.28 | From (736) and (15) follows: % 57.35/23.28 | (515) op(e1, e2) = e2 % 57.35/23.28 | % 57.35/23.28 | From (736) and (28) follows: % 57.35/23.28 | (740) op(e1, e1) = e1 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 57.35/23.28 | (397) e4 = e0 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 57.35/23.28 | (323) e4 = e2 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 57.35/23.28 | (617) e2 = e1 % 57.35/23.28 | % 57.35/23.28 | Combining equations (323,397) yields a new equation: % 57.35/23.28 | (391) e2 = e0 % 57.35/23.28 | % 57.35/23.28 | Simplifying 391 yields: % 57.35/23.28 | (330) e2 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (330,617) yields a new equation: % 57.35/23.28 | (431) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (431) can reduce 233 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (748) ~ (unit = e1) % 57.35/23.28 | (749) unit = e3 % 57.35/23.28 | % 57.35/23.28 | From (749) and (211) follows: % 57.35/23.28 | (13877) op(e3, e1) = e1 % 57.35/23.28 | % 57.35/23.28 | From (749) and (42) follows: % 57.35/23.28 | (752) op(e0, e3) = e0 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 57.35/23.28 | (630) e4 = e1 % 57.35/23.28 | % 57.35/23.28 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 57.35/23.28 | (397) e4 = e0 % 57.35/23.28 | % 57.35/23.28 | Combining equations (630,397) yields a new equation: % 57.35/23.28 | (546) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Simplifying 546 yields: % 57.35/23.28 | (431) e1 = e0 % 57.35/23.28 | % 57.35/23.28 | Equations (431) can reduce 233 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (1670) ~ (all_0_57_57 = e1) % 57.35/23.28 | (918) all_0_58_58 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (918) can reduce 880 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (1283) ~ (all_0_48_48 = e0) % 57.35/23.28 | (615) all_0_48_48 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (615) can reduce 619 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (340) ~ (all_0_49_49 = e2) % 57.35/23.28 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (54), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (583) all_0_49_49 = e2 % 57.35/23.28 | % 57.35/23.28 | Equations (583) can reduce 340 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (340) ~ (all_0_49_49 = e2) % 57.35/23.28 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (434), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (615) all_0_48_48 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (615) can reduce 619 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (619) ~ (all_0_48_48 = e1) % 57.35/23.28 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (620), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (642) all_0_52_52 = e1 % 57.35/23.28 | % 57.35/23.28 | Combining equations (352,642) yields a new equation: % 57.35/23.28 | (616) e2 = e1 % 57.35/23.28 | % 57.35/23.28 | Simplifying 616 yields: % 57.35/23.28 | (617) e2 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (617) can reduce 122 to: % 57.35/23.28 | (266) $false % 57.35/23.28 | % 57.35/23.28 |-The branch is then unsatisfiable % 57.35/23.28 |-Branch two: % 57.35/23.28 | (646) ~ (all_0_52_52 = e1) % 57.35/23.28 | (647) all_0_57_57 = e1 % 57.35/23.28 | % 57.35/23.28 | Equations (647) can reduce 344 to: % 57.35/23.28 | (604) ~ (e2 = e1) % 57.35/23.28 | % 57.35/23.28 | Simplifying 604 yields: % 57.35/23.28 | (122) ~ (e2 = e1) % 57.35/23.28 | % 57.35/23.28 +-Applying beta-rule and splitting (10171), into two cases. % 57.35/23.28 |-Branch one: % 57.35/23.28 | (1105) all_0_47_47 = e2 % 57.50/23.28 | % 57.50/23.28 | Combining equations (654,1105) yields a new equation: % 57.50/23.28 | (617) e2 = e1 % 57.50/23.28 | % 57.50/23.28 | Equations (617) can reduce 122 to: % 57.50/23.28 | (266) $false % 57.50/23.28 | % 57.50/23.28 |-The branch is then unsatisfiable % 57.50/23.28 |-Branch two: % 57.50/23.28 | (338) ~ (all_0_47_47 = e2) % 57.50/23.28 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.50/23.28 | % 57.50/23.28 +-Applying beta-rule and splitting (10761), into two cases. % 57.50/23.28 |-Branch one: % 57.50/23.28 | (335) all_0_48_48 = e2 % 57.50/23.28 | % 57.50/23.28 | Equations (335) can reduce 810 to: % 57.50/23.28 | (266) $false % 57.50/23.28 | % 57.50/23.28 |-The branch is then unsatisfiable % 57.50/23.28 |-Branch two: % 57.50/23.28 | (810) ~ (all_0_48_48 = e2) % 57.50/23.28 | (583) all_0_49_49 = e2 % 57.50/23.28 | % 57.50/23.28 | Equations (583) can reduce 340 to: % 57.50/23.28 | (266) $false % 57.50/23.28 | % 57.50/23.28 |-The branch is then unsatisfiable % 57.50/23.28 |-Branch two: % 57.50/23.28 | (511) ~ (all_0_56_56 = e2) % 57.50/23.28 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.50/23.28 | % 57.50/23.28 +-Applying beta-rule and splitting (385), into two cases. % 57.50/23.28 |-Branch one: % 57.50/23.28 | (1105) all_0_47_47 = e2 % 57.50/23.28 | % 57.50/23.28 | Combining equations (654,1105) yields a new equation: % 57.50/23.28 | (617) e2 = e1 % 57.50/23.28 | % 57.50/23.28 | Equations (617) can reduce 122 to: % 57.50/23.28 | (266) $false % 57.50/23.28 | % 57.50/23.28 |-The branch is then unsatisfiable % 57.50/23.28 |-Branch two: % 57.50/23.28 | (338) ~ (all_0_47_47 = e2) % 57.50/23.28 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.50/23.28 | % 57.50/23.28 +-Applying beta-rule and splitting (389), into two cases. % 57.50/23.28 |-Branch one: % 57.50/23.28 | (833) all_0_56_56 = e2 % 57.50/23.28 | % 57.50/23.28 | Equations (833) can reduce 511 to: % 57.50/23.28 | (266) $false % 57.50/23.28 | % 57.50/23.28 |-The branch is then unsatisfiable % 57.50/23.28 |-Branch two: % 57.50/23.28 | (511) ~ (all_0_56_56 = e2) % 57.50/23.28 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (1709), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (442) all_0_57_57 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (442) can reduce 344 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (344) ~ (all_0_57_57 = e2) % 57.50/23.29 | (624) all_0_58_58 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (624) can reduce 44 to: % 57.50/23.29 | (511) ~ (all_0_56_56 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (624) can reduce 451 to: % 57.50/23.29 | (327) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 | Simplifying 327 yields: % 57.50/23.29 | (48) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (1108), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (504) all_0_51_51 = e2 % 57.50/23.29 | % 57.50/23.29 | Combining equations (1101,504) yields a new equation: % 57.50/23.29 | (322) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Simplifying 322 yields: % 57.50/23.29 | (323) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (323) can reduce 48 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (1099) ~ (all_0_51_51 = e2) % 57.50/23.29 | (833) all_0_56_56 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (833) can reduce 511 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (819) yields: % 57.50/23.29 | (674) all_0_47_47 = e0 % 57.50/23.29 | (624) all_0_58_58 = e2 % 57.50/23.29 | (340) ~ (all_0_49_49 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (674) can reduce 678 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (825) yields: % 57.50/23.29 | (674) all_0_47_47 = e0 % 57.50/23.29 | (624) all_0_58_58 = e2 % 57.50/23.29 | (828) ~ (all_0_56_56 = e0) % 57.50/23.29 | % 57.50/23.29 | Equations (674) can reduce 678 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (763) ~ (all_0_55_55 = e4) % 57.50/23.29 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (171), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (265) all_0_54_54 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (268,265) yields a new equation: % 57.50/23.29 | (425) e4 = e3 % 57.50/23.29 | % 57.50/23.29 | Equations (425) can reduce 188 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (258) ~ (all_0_54_54 = e4) % 57.50/23.29 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (268) can reduce 258 to: % 57.50/23.29 | (277) ~ (e4 = e3) % 57.50/23.29 | % 57.50/23.29 | Simplifying 277 yields: % 57.50/23.29 | (188) ~ (e4 = e3) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (575), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (587) all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (587) can reduce 763 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (763) ~ (all_0_55_55 = e4) % 57.50/23.29 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (62), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (321) all_0_38_38 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (321,292) yields a new equation: % 57.50/23.29 | (322) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Simplifying 322 yields: % 57.50/23.29 | (323) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (323) can reduce 48 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (325) ~ (all_0_38_38 = e4) % 57.50/23.29 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (292) can reduce 325 to: % 57.50/23.29 | (327) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 | Simplifying 327 yields: % 57.50/23.29 | (48) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (565) all_0_52_52 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (565,352) yields a new equation: % 57.50/23.29 | (322) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Simplifying 322 yields: % 57.50/23.29 | (323) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (323) can reduce 48 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (780) ~ (all_0_52_52 = e4) % 57.50/23.29 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (582), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (437) all_0_41_41 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (437,794) yields a new equation: % 57.50/23.29 | (481) e4 = e0 % 57.50/23.29 | % 57.50/23.29 | Simplifying 481 yields: % 57.50/23.29 | (397) e4 = e0 % 57.50/23.29 | % 57.50/23.29 | Equations (397) can reduce 49 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (440) ~ (all_0_41_41 = e4) % 57.50/23.29 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (793) yields: % 57.50/23.29 | (794) all_0_41_41 = e0 % 57.50/23.29 | (795) all_0_58_58 = e3 % 57.50/23.29 | (407) ~ (all_0_44_44 = e3) % 57.50/23.29 | % 57.50/23.29 | Equations (795) can reduce 276 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (800) yields: % 57.50/23.29 | (794) all_0_41_41 = e0 % 57.50/23.29 | (795) all_0_58_58 = e3 % 57.50/23.29 | (803) ~ (all_0_55_55 = e0) % 57.50/23.29 | % 57.50/23.29 | Equations (795) can reduce 276 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (807) yields: % 57.50/23.29 | (654) all_0_47_47 = e1 % 57.50/23.29 | (352) all_0_52_52 = e2 % 57.50/23.29 | (810) ~ (all_0_48_48 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (654) can reduce 252 to: % 57.50/23.29 | (602) ~ (e4 = e1) % 57.50/23.29 | % 57.50/23.29 | Simplifying 602 yields: % 57.50/23.29 | (110) ~ (e4 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (769), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (770) all_0_46_46 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (1557,770) yields a new equation: % 57.50/23.29 | (425) e4 = e3 % 57.50/23.29 | % 57.50/23.29 | Equations (425) can reduce 188 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (250) ~ (all_0_46_46 = e4) % 57.50/23.29 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (774), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (775) all_0_50_50 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (601,775) yields a new equation: % 57.50/23.29 | (630) e4 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (630) can reduce 110 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (566) ~ (all_0_50_50 = e4) % 57.50/23.29 | (587) all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (587) can reduce 763 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (813) yields: % 57.50/23.29 | (654) all_0_47_47 = e1 % 57.50/23.29 | (352) all_0_52_52 = e2 % 57.50/23.29 | (464) ~ (all_0_51_51 = e1) % 57.50/23.29 | % 57.50/23.29 | Equations (1101) can reduce 464 to: % 57.50/23.29 | (110) ~ (e4 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (769), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (770) all_0_46_46 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (1557,770) yields a new equation: % 57.50/23.29 | (425) e4 = e3 % 57.50/23.29 | % 57.50/23.29 | Equations (425) can reduce 188 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (250) ~ (all_0_46_46 = e4) % 57.50/23.29 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (774), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (775) all_0_50_50 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (601,775) yields a new equation: % 57.50/23.29 | (630) e4 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (630) can reduce 110 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (566) ~ (all_0_50_50 = e4) % 57.50/23.29 | (587) all_0_55_55 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (587) can reduce 763 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (819) yields: % 57.50/23.29 | (674) all_0_47_47 = e0 % 57.50/23.29 | (624) all_0_58_58 = e2 % 57.50/23.29 | (340) ~ (all_0_49_49 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (674) can reduce 678 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.29 | % 57.50/23.29 | Applying alpha-rule on (825) yields: % 57.50/23.29 | (674) all_0_47_47 = e0 % 57.50/23.29 | (624) all_0_58_58 = e2 % 57.50/23.29 | (828) ~ (all_0_56_56 = e0) % 57.50/23.29 | % 57.50/23.29 | Equations (674) can reduce 678 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (475) ~ (all_0_51_51 = e4) % 57.50/23.29 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (1294), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (565) all_0_52_52 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (565,352) yields a new equation: % 57.50/23.29 | (322) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Simplifying 322 yields: % 57.50/23.29 | (323) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (323) can reduce 48 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (780) ~ (all_0_52_52 = e4) % 57.50/23.29 | (1298) all_0_53_53 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (665,1298) yields a new equation: % 57.50/23.29 | (425) e4 = e3 % 57.50/23.29 | % 57.50/23.29 | Equations (425) can reduce 188 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (759) ~ (all_0_50_50 = e1) % 57.50/23.29 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (595), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (545) all_0_46_46 = e1 % 57.50/23.29 | % 57.50/23.29 | Combining equations (1557,545) yields a new equation: % 57.50/23.29 | (454) e3 = e1 % 57.50/23.29 | % 57.50/23.29 | Simplifying 454 yields: % 57.50/23.29 | (455) e3 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (455) can reduce 213 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (549) ~ (all_0_46_46 = e1) % 57.50/23.29 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (1557) can reduce 549 to: % 57.50/23.29 | (213) ~ (e3 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (1168), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (1109) all_0_51_51 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (1109) can reduce 224 to: % 57.50/23.29 | (462) ~ (all_0_47_47 = e1) % 57.50/23.29 | % 57.50/23.29 | Equations (1109) can reduce 59 to: % 57.50/23.29 | (759) ~ (all_0_50_50 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (231), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (775) all_0_50_50 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (775) can reduce 302 to: % 57.50/23.29 | (48) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (775) can reduce 759 to: % 57.50/23.29 | (110) ~ (e4 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (600), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (601) all_0_50_50 = e1 % 57.50/23.29 | % 57.50/23.29 | Combining equations (775,601) yields a new equation: % 57.50/23.29 | (636) e4 = e1 % 57.50/23.29 | % 57.50/23.29 | Simplifying 636 yields: % 57.50/23.29 | (630) e4 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (630) can reduce 110 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (759) ~ (all_0_50_50 = e1) % 57.50/23.29 | (629) all_0_55_55 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (629) can reduce 3 to: % 57.50/23.29 | (879) ~ (all_0_58_58 = e1) % 57.50/23.29 | % 57.50/23.29 | Simplifying 879 yields: % 57.50/23.29 | (880) ~ (all_0_58_58 = e1) % 57.50/23.29 | % 57.50/23.29 | Equations (629) can reduce 803 to: % 57.50/23.29 | (233) ~ (e1 = e0) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (434), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (615) all_0_48_48 = e1 % 57.50/23.29 | % 57.50/23.29 | Equations (615) can reduce 114 to: % 57.50/23.29 | (462) ~ (all_0_47_47 = e1) % 57.50/23.29 | % 57.50/23.29 | Equations (615) can reduce 185 to: % 57.50/23.29 | (1419) ~ (all_0_49_49 = e1) % 57.50/23.29 | % 57.50/23.29 | Simplifying 1419 yields: % 57.50/23.29 | (1064) ~ (all_0_49_49 = e1) % 57.50/23.29 | % 57.50/23.29 | Equations (615) can reduce 239 to: % 57.50/23.29 | (2437) ~ (all_0_57_57 = e1) % 57.50/23.29 | % 57.50/23.29 | Simplifying 2437 yields: % 57.50/23.29 | (1670) ~ (all_0_57_57 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (5471), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (1279) all_0_48_48 = e0 % 57.50/23.29 | % 57.50/23.29 | Combining equations (615,1279) yields a new equation: % 57.50/23.29 | (546) e1 = e0 % 57.50/23.29 | % 57.50/23.29 | Simplifying 546 yields: % 57.50/23.29 | (431) e1 = e0 % 57.50/23.29 | % 57.50/23.29 | Equations (431) can reduce 233 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (1283) ~ (all_0_48_48 = e0) % 57.50/23.29 | (875) all_0_57_57 = e0 % 57.50/23.29 | % 57.50/23.29 | Equations (875) can reduce 148 to: % 57.50/23.29 | (490) ~ (all_0_58_58 = e0) % 57.50/23.29 | % 57.50/23.29 | Simplifying 490 yields: % 57.50/23.29 | (491) ~ (all_0_58_58 = e0) % 57.50/23.29 | % 57.50/23.29 | Equations (875) can reduce 1670 to: % 57.50/23.29 | (435) ~ (e1 = e0) % 57.50/23.29 | % 57.50/23.29 | Simplifying 435 yields: % 57.50/23.29 | (233) ~ (e1 = e0) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (75), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (485) all_0_40_40 = e0 % 57.50/23.29 | % 57.50/23.29 | Equations (485) can reduce 176 to: % 57.50/23.29 | (484) ~ (all_0_39_39 = e0) % 57.50/23.29 | % 57.50/23.29 | Equations (485) can reduce 200 to: % 57.50/23.29 | (486) ~ (all_0_49_49 = e0) % 57.50/23.29 | % 57.50/23.29 | Simplifying 486 yields: % 57.50/23.29 | (487) ~ (all_0_49_49 = e0) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (104), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (480) all_0_39_39 = e0 % 57.50/23.29 | % 57.50/23.29 | Equations (480) can reduce 484 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (484) ~ (all_0_39_39 = e0) % 57.50/23.29 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (54), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (583) all_0_49_49 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (583) can reduce 86 to: % 57.50/23.29 | (338) ~ (all_0_47_47 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (583) can reduce 1064 to: % 57.50/23.29 | (122) ~ (e2 = e1) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (105), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (1105) all_0_47_47 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (1105) can reduce 338 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (338) ~ (all_0_47_47 = e2) % 57.50/23.29 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (320), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (471) all_0_39_39 = e4 % 57.50/23.29 | % 57.50/23.29 | Equations (471) can reduce 154 to: % 57.50/23.29 | (476) ~ (all_0_56_56 = e4) % 57.50/23.29 | % 57.50/23.29 | Simplifying 476 yields: % 57.50/23.29 | (477) ~ (all_0_56_56 = e4) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (133), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (833) all_0_56_56 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (833) can reduce 44 to: % 57.50/23.29 | (1186) ~ (all_0_58_58 = e2) % 57.50/23.29 | % 57.50/23.29 | Simplifying 1186 yields: % 57.50/23.29 | (908) ~ (all_0_58_58 = e2) % 57.50/23.29 | % 57.50/23.29 | Equations (833) can reduce 477 to: % 57.50/23.29 | (327) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 | Simplifying 327 yields: % 57.50/23.29 | (48) ~ (e4 = e2) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (565) all_0_52_52 = e4 % 57.50/23.29 | % 57.50/23.29 | Combining equations (565,352) yields a new equation: % 57.50/23.29 | (322) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Simplifying 322 yields: % 57.50/23.29 | (323) e4 = e2 % 57.50/23.29 | % 57.50/23.29 | Equations (323) can reduce 48 to: % 57.50/23.29 | (266) $false % 57.50/23.29 | % 57.50/23.29 |-The branch is then unsatisfiable % 57.50/23.29 |-Branch two: % 57.50/23.29 | (780) ~ (all_0_52_52 = e4) % 57.50/23.29 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.29 | % 57.50/23.29 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.29 |-Branch one: % 57.50/23.29 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (793) yields: % 57.50/23.30 | (794) all_0_41_41 = e0 % 57.50/23.30 | (795) all_0_58_58 = e3 % 57.50/23.30 | (407) ~ (all_0_44_44 = e3) % 57.50/23.30 | % 57.50/23.30 | Equations (795) can reduce 276 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (800) yields: % 57.50/23.30 | (794) all_0_41_41 = e0 % 57.50/23.30 | (795) all_0_58_58 = e3 % 57.50/23.30 | (803) ~ (all_0_55_55 = e0) % 57.50/23.30 | % 57.50/23.30 | Equations (795) can reduce 276 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (807) yields: % 57.50/23.30 | (654) all_0_47_47 = e1 % 57.50/23.30 | (352) all_0_52_52 = e2 % 57.50/23.30 | (810) ~ (all_0_48_48 = e2) % 57.50/23.30 | % 57.50/23.30 | Equations (654) can reduce 462 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (813) yields: % 57.50/23.30 | (654) all_0_47_47 = e1 % 57.50/23.30 | (352) all_0_52_52 = e2 % 57.50/23.30 | (464) ~ (all_0_51_51 = e1) % 57.50/23.30 | % 57.50/23.30 | Equations (1109) can reduce 464 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (819) yields: % 57.50/23.30 | (674) all_0_47_47 = e0 % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | (340) ~ (all_0_49_49 = e2) % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 908 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (825) yields: % 57.50/23.30 | (674) all_0_47_47 = e0 % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | (828) ~ (all_0_56_56 = e0) % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 908 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (511) ~ (all_0_56_56 = e2) % 57.50/23.30 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (385), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (1105) all_0_47_47 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (1105) can reduce 338 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (338) ~ (all_0_47_47 = e2) % 57.50/23.30 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (1108), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (504) all_0_51_51 = e2 % 57.50/23.30 | % 57.50/23.30 | Combining equations (1109,504) yields a new equation: % 57.50/23.30 | (617) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Equations (617) can reduce 122 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (1099) ~ (all_0_51_51 = e2) % 57.50/23.30 | (833) all_0_56_56 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (833) can reduce 511 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.30 | (480) all_0_39_39 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (480) can reduce 484 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (340) ~ (all_0_49_49 = e2) % 57.50/23.30 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (586), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (974) all_0_49_49 = e4 % 57.50/23.30 | % 57.50/23.30 | Equations (974) can reduce 256 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (256) ~ (all_0_49_49 = e4) % 57.50/23.30 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (977), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (978) all_0_49_49 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (978) can reduce 487 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (487) ~ (all_0_49_49 = e0) % 57.50/23.30 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (981), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (671) all_0_49_49 = e1 % 57.50/23.30 | % 57.50/23.30 | Equations (671) can reduce 1064 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (1064) ~ (all_0_49_49 = e1) % 57.50/23.30 | (884) all_0_49_49 = e3 % 57.50/23.30 | % 57.50/23.30 | Equations (884) can reduce 525 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (1401) ~ (all_0_40_40 = e0) % 57.50/23.30 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (1748), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (1414) all_0_44_44 = e0 % 57.50/23.30 | % 57.50/23.30 | Combining equations (635,1414) yields a new equation: % 57.50/23.30 | (546) e1 = e0 % 57.50/23.30 | % 57.50/23.30 | Simplifying 546 yields: % 57.50/23.30 | (431) e1 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (431) can reduce 233 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (360) ~ (all_0_44_44 = e0) % 57.50/23.30 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (1760), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (978) all_0_49_49 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (978) can reduce 200 to: % 57.50/23.30 | (1401) ~ (all_0_40_40 = e0) % 57.50/23.30 | % 57.50/23.30 | Equations (978) can reduce 119 to: % 57.50/23.30 | (490) ~ (all_0_58_58 = e0) % 57.50/23.30 | % 57.50/23.30 | Simplifying 490 yields: % 57.50/23.30 | (491) ~ (all_0_58_58 = e0) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (104), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (480) all_0_39_39 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (480) can reduce 176 to: % 57.50/23.30 | (1400) ~ (all_0_40_40 = e0) % 57.50/23.30 | % 57.50/23.30 | Simplifying 1400 yields: % 57.50/23.30 | (1401) ~ (all_0_40_40 = e0) % 57.50/23.30 | % 57.50/23.30 | Equations (480) can reduce 79 to: % 57.50/23.30 | (1402) ~ (all_0_47_47 = e0) % 57.50/23.30 | % 57.50/23.30 | Simplifying 1402 yields: % 57.50/23.30 | (678) ~ (all_0_47_47 = e0) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (316), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (1378) all_0_40_40 = e4 % 57.50/23.30 | % 57.50/23.30 | Equations (1378) can reduce 178 to: % 57.50/23.30 | (450) ~ (all_0_58_58 = e4) % 57.50/23.30 | % 57.50/23.30 | Simplifying 450 yields: % 57.50/23.30 | (451) ~ (all_0_58_58 = e4) % 57.50/23.30 | % 57.50/23.30 | Equations (1378) can reduce 296 to: % 57.50/23.30 | (48) ~ (e4 = e2) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (105), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (1105) all_0_47_47 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (1105) can reduce 1091 to: % 57.50/23.30 | (626) ~ (e3 = e2) % 57.50/23.30 | % 57.50/23.30 | Simplifying 626 yields: % 57.50/23.30 | (212) ~ (e3 = e2) % 57.50/23.30 | % 57.50/23.30 | Equations (1105) can reduce 678 to: % 57.50/23.30 | (128) ~ (e2 = e0) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (108), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 451 to: % 57.50/23.30 | (327) ~ (e4 = e2) % 57.50/23.30 | % 57.50/23.30 | Simplifying 327 yields: % 57.50/23.30 | (48) ~ (e4 = e2) % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 276 to: % 57.50/23.30 | (626) ~ (e3 = e2) % 57.50/23.30 | % 57.50/23.30 | Simplifying 626 yields: % 57.50/23.30 | (212) ~ (e3 = e2) % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 880 to: % 57.50/23.30 | (122) ~ (e2 = e1) % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 491 to: % 57.50/23.30 | (128) ~ (e2 = e0) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (565) all_0_52_52 = e4 % 57.50/23.30 | % 57.50/23.30 | Combining equations (352,565) yields a new equation: % 57.50/23.30 | (323) e4 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (323) can reduce 48 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (780) ~ (all_0_52_52 = e4) % 57.50/23.30 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (793) yields: % 57.50/23.30 | (794) all_0_41_41 = e0 % 57.50/23.30 | (795) all_0_58_58 = e3 % 57.50/23.30 | (407) ~ (all_0_44_44 = e3) % 57.50/23.30 | % 57.50/23.30 | Combining equations (795,624) yields a new equation: % 57.50/23.30 | (661) e3 = e2 % 57.50/23.30 | % 57.50/23.30 | Simplifying 661 yields: % 57.50/23.30 | (662) e3 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (662) can reduce 212 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (800) yields: % 57.50/23.30 | (794) all_0_41_41 = e0 % 57.50/23.30 | (795) all_0_58_58 = e3 % 57.50/23.30 | (803) ~ (all_0_55_55 = e0) % 57.50/23.30 | % 57.50/23.30 | Combining equations (795,624) yields a new equation: % 57.50/23.30 | (661) e3 = e2 % 57.50/23.30 | % 57.50/23.30 | Simplifying 661 yields: % 57.50/23.30 | (662) e3 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (662) can reduce 212 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (807) yields: % 57.50/23.30 | (654) all_0_47_47 = e1 % 57.50/23.30 | (352) all_0_52_52 = e2 % 57.50/23.30 | (810) ~ (all_0_48_48 = e2) % 57.50/23.30 | % 57.50/23.30 | Combining equations (1105,654) yields a new equation: % 57.50/23.30 | (616) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Simplifying 616 yields: % 57.50/23.30 | (617) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Equations (617) can reduce 122 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (813) yields: % 57.50/23.30 | (654) all_0_47_47 = e1 % 57.50/23.30 | (352) all_0_52_52 = e2 % 57.50/23.30 | (464) ~ (all_0_51_51 = e1) % 57.50/23.30 | % 57.50/23.30 | Combining equations (1105,654) yields a new equation: % 57.50/23.30 | (616) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Simplifying 616 yields: % 57.50/23.30 | (617) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Equations (617) can reduce 122 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (819) yields: % 57.50/23.30 | (674) all_0_47_47 = e0 % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | (340) ~ (all_0_49_49 = e2) % 57.50/23.30 | % 57.50/23.30 | Combining equations (1105,674) yields a new equation: % 57.50/23.30 | (391) e2 = e0 % 57.50/23.30 | % 57.50/23.30 | Simplifying 391 yields: % 57.50/23.30 | (330) e2 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (330) can reduce 128 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.30 | % 57.50/23.30 | Applying alpha-rule on (825) yields: % 57.50/23.30 | (674) all_0_47_47 = e0 % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | (828) ~ (all_0_56_56 = e0) % 57.50/23.30 | % 57.50/23.30 | Combining equations (1105,674) yields a new equation: % 57.50/23.30 | (391) e2 = e0 % 57.50/23.30 | % 57.50/23.30 | Simplifying 391 yields: % 57.50/23.30 | (330) e2 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (330) can reduce 128 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (908) ~ (all_0_58_58 = e2) % 57.50/23.30 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (377), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (583) all_0_49_49 = e2 % 57.50/23.30 | % 57.50/23.30 | Combining equations (978,583) yields a new equation: % 57.50/23.30 | (330) e2 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (330) can reduce 128 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (340) ~ (all_0_49_49 = e2) % 57.50/23.30 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (614), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (607) all_0_53_53 = e2 % 57.50/23.30 | % 57.50/23.30 | Combining equations (665,607) yields a new equation: % 57.50/23.30 | (661) e3 = e2 % 57.50/23.30 | % 57.50/23.30 | Simplifying 661 yields: % 57.50/23.30 | (662) e3 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (662) can reduce 212 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (509) ~ (all_0_53_53 = e2) % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 908 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (338) ~ (all_0_47_47 = e2) % 57.50/23.30 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (108), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (624) all_0_58_58 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 880 to: % 57.50/23.30 | (122) ~ (e2 = e1) % 57.50/23.30 | % 57.50/23.30 | Equations (624) can reduce 491 to: % 57.50/23.30 | (128) ~ (e2 = e0) % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (385), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (1105) all_0_47_47 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (1105) can reduce 338 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (338) ~ (all_0_47_47 = e2) % 57.50/23.30 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (10171), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (1105) all_0_47_47 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (1105) can reduce 338 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (338) ~ (all_0_47_47 = e2) % 57.50/23.30 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (10761), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (335) all_0_48_48 = e2 % 57.50/23.30 | % 57.50/23.30 | Combining equations (335,615) yields a new equation: % 57.50/23.30 | (616) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Simplifying 616 yields: % 57.50/23.30 | (617) e2 = e1 % 57.50/23.30 | % 57.50/23.30 | Equations (617) can reduce 122 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (810) ~ (all_0_48_48 = e2) % 57.50/23.30 | (583) all_0_49_49 = e2 % 57.50/23.30 | % 57.50/23.30 | Combining equations (978,583) yields a new equation: % 57.50/23.30 | (330) e2 = e0 % 57.50/23.30 | % 57.50/23.30 | Equations (330) can reduce 128 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.30 | (908) ~ (all_0_58_58 = e2) % 57.50/23.30 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.50/23.30 | % 57.50/23.30 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.30 |-Branch one: % 57.50/23.30 | (565) all_0_52_52 = e4 % 57.50/23.30 | % 57.50/23.30 | Combining equations (352,565) yields a new equation: % 57.50/23.30 | (323) e4 = e2 % 57.50/23.30 | % 57.50/23.30 | Equations (323) can reduce 48 to: % 57.50/23.30 | (266) $false % 57.50/23.30 | % 57.50/23.30 |-The branch is then unsatisfiable % 57.50/23.30 |-Branch two: % 57.50/23.31 | (780) ~ (all_0_52_52 = e4) % 57.50/23.31 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (793) yields: % 57.50/23.31 | (794) all_0_41_41 = e0 % 57.50/23.31 | (795) all_0_58_58 = e3 % 57.50/23.31 | (407) ~ (all_0_44_44 = e3) % 57.50/23.31 | % 57.50/23.31 | Equations (795) can reduce 276 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (800) yields: % 57.50/23.31 | (794) all_0_41_41 = e0 % 57.50/23.31 | (795) all_0_58_58 = e3 % 57.50/23.31 | (803) ~ (all_0_55_55 = e0) % 57.50/23.31 | % 57.50/23.31 | Equations (795) can reduce 276 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (807) yields: % 57.50/23.31 | (654) all_0_47_47 = e1 % 57.50/23.31 | (352) all_0_52_52 = e2 % 57.50/23.31 | (810) ~ (all_0_48_48 = e2) % 57.50/23.31 | % 57.50/23.31 | Equations (654) can reduce 462 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (813) yields: % 57.50/23.31 | (654) all_0_47_47 = e1 % 57.50/23.31 | (352) all_0_52_52 = e2 % 57.50/23.31 | (464) ~ (all_0_51_51 = e1) % 57.50/23.31 | % 57.50/23.31 | Equations (1109) can reduce 464 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (819) yields: % 57.50/23.31 | (674) all_0_47_47 = e0 % 57.50/23.31 | (624) all_0_58_58 = e2 % 57.50/23.31 | (340) ~ (all_0_49_49 = e2) % 57.50/23.31 | % 57.50/23.31 | Equations (624) can reduce 908 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (825) yields: % 57.50/23.31 | (674) all_0_47_47 = e0 % 57.50/23.31 | (624) all_0_58_58 = e2 % 57.50/23.31 | (828) ~ (all_0_56_56 = e0) % 57.50/23.31 | % 57.50/23.31 | Equations (624) can reduce 908 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (447) ~ (all_0_40_40 = e4) % 57.50/23.31 | (485) all_0_40_40 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (485) can reduce 1401 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (484) ~ (all_0_39_39 = e0) % 57.50/23.31 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (316), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (1378) all_0_40_40 = e4 % 57.50/23.31 | % 57.50/23.31 | Equations (1378) can reduce 176 to: % 57.50/23.31 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (164), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (471) all_0_39_39 = e4 % 57.50/23.31 | % 57.50/23.31 | Equations (471) can reduce 1377 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.31 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (320), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (471) all_0_39_39 = e4 % 57.50/23.31 | % 57.50/23.31 | Equations (471) can reduce 1377 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.31 | (480) all_0_39_39 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (480) can reduce 484 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (447) ~ (all_0_40_40 = e4) % 57.50/23.31 | (485) all_0_40_40 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (485) can reduce 1401 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (487) ~ (all_0_49_49 = e0) % 57.50/23.31 | (914) all_0_58_58 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (914) can reduce 491 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (619) ~ (all_0_48_48 = e1) % 57.50/23.31 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (10218), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (943) all_0_48_48 = e4 % 57.50/23.31 | % 57.50/23.31 | Equations (943) can reduce 254 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (254) ~ (all_0_48_48 = e4) % 57.50/23.31 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (10222), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (1279) all_0_48_48 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (1279) can reduce 114 to: % 57.50/23.31 | (678) ~ (all_0_47_47 = e0) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (565) all_0_52_52 = e4 % 57.50/23.31 | % 57.50/23.31 | Combining equations (352,565) yields a new equation: % 57.50/23.31 | (323) e4 = e2 % 57.50/23.31 | % 57.50/23.31 | Equations (323) can reduce 48 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (780) ~ (all_0_52_52 = e4) % 57.50/23.31 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (793) yields: % 57.50/23.31 | (794) all_0_41_41 = e0 % 57.50/23.31 | (795) all_0_58_58 = e3 % 57.50/23.31 | (407) ~ (all_0_44_44 = e3) % 57.50/23.31 | % 57.50/23.31 | Equations (795) can reduce 276 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (800) yields: % 57.50/23.31 | (794) all_0_41_41 = e0 % 57.50/23.31 | (795) all_0_58_58 = e3 % 57.50/23.31 | (803) ~ (all_0_55_55 = e0) % 57.50/23.31 | % 57.50/23.31 | Equations (795) can reduce 276 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (807) yields: % 57.50/23.31 | (654) all_0_47_47 = e1 % 57.50/23.31 | (352) all_0_52_52 = e2 % 57.50/23.31 | (810) ~ (all_0_48_48 = e2) % 57.50/23.31 | % 57.50/23.31 | Equations (654) can reduce 462 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (813) yields: % 57.50/23.31 | (654) all_0_47_47 = e1 % 57.50/23.31 | (352) all_0_52_52 = e2 % 57.50/23.31 | (464) ~ (all_0_51_51 = e1) % 57.50/23.31 | % 57.50/23.31 | Equations (1109) can reduce 464 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (819) yields: % 57.50/23.31 | (674) all_0_47_47 = e0 % 57.50/23.31 | (624) all_0_58_58 = e2 % 57.50/23.31 | (340) ~ (all_0_49_49 = e2) % 57.50/23.31 | % 57.50/23.31 | Equations (674) can reduce 678 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.31 | % 57.50/23.31 | Applying alpha-rule on (825) yields: % 57.50/23.31 | (674) all_0_47_47 = e0 % 57.50/23.31 | (624) all_0_58_58 = e2 % 57.50/23.31 | (828) ~ (all_0_56_56 = e0) % 57.50/23.31 | % 57.50/23.31 | Equations (674) can reduce 678 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (1283) ~ (all_0_48_48 = e0) % 57.50/23.31 | (615) all_0_48_48 = e1 % 57.50/23.31 | % 57.50/23.31 | Equations (615) can reduce 619 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (566) ~ (all_0_50_50 = e4) % 57.50/23.31 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (1071), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (1101) all_0_51_51 = e4 % 57.50/23.31 | % 57.50/23.31 | Combining equations (1109,1101) yields a new equation: % 57.50/23.31 | (630) e4 = e1 % 57.50/23.31 | % 57.50/23.31 | Equations (630) can reduce 110 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (475) ~ (all_0_51_51 = e4) % 57.50/23.31 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (1294), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (565) all_0_52_52 = e4 % 57.50/23.31 | % 57.50/23.31 | Combining equations (352,565) yields a new equation: % 57.50/23.31 | (323) e4 = e2 % 57.50/23.31 | % 57.50/23.31 | Equations (323) can reduce 48 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (780) ~ (all_0_52_52 = e4) % 57.50/23.31 | (1298) all_0_53_53 = e4 % 57.50/23.31 | % 57.50/23.31 | Combining equations (1298,665) yields a new equation: % 57.50/23.31 | (424) e4 = e3 % 57.50/23.31 | % 57.50/23.31 | Simplifying 424 yields: % 57.50/23.31 | (425) e4 = e3 % 57.50/23.31 | % 57.50/23.31 | Equations (425) can reduce 188 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (464) ~ (all_0_51_51 = e1) % 57.50/23.31 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (1202), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (642) all_0_52_52 = e1 % 57.50/23.31 | % 57.50/23.31 | Combining equations (352,642) yields a new equation: % 57.50/23.31 | (616) e2 = e1 % 57.50/23.31 | % 57.50/23.31 | Simplifying 616 yields: % 57.50/23.31 | (617) e2 = e1 % 57.50/23.31 | % 57.50/23.31 | Equations (617) can reduce 122 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (646) ~ (all_0_52_52 = e1) % 57.50/23.31 | (1208) all_0_53_53 = e1 % 57.50/23.31 | % 57.50/23.31 | Combining equations (665,1208) yields a new equation: % 57.50/23.31 | (454) e3 = e1 % 57.50/23.31 | % 57.50/23.31 | Simplifying 454 yields: % 57.50/23.31 | (455) e3 = e1 % 57.50/23.31 | % 57.50/23.31 | Equations (455) can reduce 213 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (639) ~ (all_0_44_44 = e1) % 57.50/23.31 | (532) all_0_44_44 = e3 % 57.50/23.31 | % 57.50/23.31 | Equations (532) can reduce 407 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (357) ~ (all_0_41_41 = e0) % 57.50/23.31 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (6761), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (559) all_0_42_42 = e0 % 57.50/23.31 | % 57.50/23.31 | Combining equations (559,516) yields a new equation: % 57.50/23.31 | (676) e3 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (676) can reduce 80 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (358) ~ (all_0_42_42 = e0) % 57.50/23.31 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (516) can reduce 358 to: % 57.50/23.31 | (80) ~ (e3 = e0) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (4049), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (794) all_0_41_41 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (794) can reduce 357 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (357) ~ (all_0_41_41 = e0) % 57.50/23.31 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (395), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (794) all_0_41_41 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (794) can reduce 357 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (357) ~ (all_0_41_41 = e0) % 57.50/23.31 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (4053), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (453) all_0_41_41 = e1 % 57.50/23.31 | % 57.50/23.31 | Equations (453) can reduce 221 to: % 57.50/23.31 | (1136) ~ (all_0_50_50 = e1) % 57.50/23.31 | % 57.50/23.31 | Simplifying 1136 yields: % 57.50/23.31 | (759) ~ (all_0_50_50 = e1) % 57.50/23.31 | % 57.50/23.31 | Equations (453) can reduce 1898 to: % 57.50/23.31 | (467) ~ (e3 = e1) % 57.50/23.31 | % 57.50/23.31 | Simplifying 467 yields: % 57.50/23.31 | (213) ~ (e3 = e1) % 57.50/23.31 | % 57.50/23.31 | Equations (453) can reduce 85 to: % 57.50/23.31 | (604) ~ (e2 = e1) % 57.50/23.31 | % 57.50/23.31 | Simplifying 604 yields: % 57.50/23.31 | (122) ~ (e2 = e1) % 57.50/23.31 | % 57.50/23.31 +-Applying beta-rule and splitting (895), into two cases. % 57.50/23.31 |-Branch one: % 57.50/23.31 | (538) all_0_46_46 = e0 % 57.50/23.31 | % 57.50/23.31 | Combining equations (1557,538) yields a new equation: % 57.50/23.31 | (675) e3 = e0 % 57.50/23.31 | % 57.50/23.31 | Simplifying 675 yields: % 57.50/23.31 | (676) e3 = e0 % 57.50/23.31 | % 57.50/23.31 | Equations (676) can reduce 80 to: % 57.50/23.31 | (266) $false % 57.50/23.31 | % 57.50/23.31 |-The branch is then unsatisfiable % 57.50/23.31 |-Branch two: % 57.50/23.31 | (831) ~ (all_0_46_46 = e0) % 57.50/23.32 | (858) all_0_55_55 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (858) can reduce 93 to: % 57.50/23.32 | (121) ~ (all_0_50_50 = e0) % 57.50/23.32 | % 57.50/23.32 | Equations (858) can reduce 81 to: % 57.50/23.32 | (363) ~ (all_0_57_57 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 363 yields: % 57.50/23.32 | (364) ~ (all_0_57_57 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (160), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (601) all_0_50_50 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (601) can reduce 759 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (759) ~ (all_0_50_50 = e1) % 57.50/23.32 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (1168), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1109) all_0_51_51 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (1109) can reduce 139 to: % 57.50/23.32 | (151) ~ (all_0_39_39 = e1) % 57.50/23.32 | % 57.50/23.32 | Equations (1109) can reduce 224 to: % 57.50/23.32 | (462) ~ (all_0_47_47 = e1) % 57.50/23.32 | % 57.50/23.32 | Equations (1109) can reduce 59 to: % 57.50/23.32 | (759) ~ (all_0_50_50 = e1) % 57.50/23.32 | % 57.50/23.32 | Equations (1109) can reduce 664 to: % 57.50/23.32 | (467) ~ (e3 = e1) % 57.50/23.32 | % 57.50/23.32 | Simplifying 467 yields: % 57.50/23.32 | (213) ~ (e3 = e1) % 57.50/23.32 | % 57.50/23.32 | Equations (1109) can reduce 1099 to: % 57.50/23.32 | (604) ~ (e2 = e1) % 57.50/23.32 | % 57.50/23.32 | Simplifying 604 yields: % 57.50/23.32 | (122) ~ (e2 = e1) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (445), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (871) all_0_57_57 = e4 % 57.50/23.32 | % 57.50/23.32 | Equations (871) can reduce 839 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (839) ~ (all_0_57_57 = e4) % 57.50/23.32 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (1391), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1414) all_0_44_44 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (1414) can reduce 143 to: % 57.50/23.32 | (1401) ~ (all_0_40_40 = e0) % 57.50/23.32 | % 57.50/23.32 | Equations (1414) can reduce 181 to: % 57.50/23.32 | (490) ~ (all_0_58_58 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 490 yields: % 57.50/23.32 | (491) ~ (all_0_58_58 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (5471), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1279) all_0_48_48 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (1279) can reduce 239 to: % 57.50/23.32 | (363) ~ (all_0_57_57 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 363 yields: % 57.50/23.32 | (364) ~ (all_0_57_57 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (104), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (480) all_0_39_39 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (480) can reduce 151 to: % 57.50/23.32 | (435) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 435 yields: % 57.50/23.32 | (233) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (105), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1105) all_0_47_47 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (1105) can reduce 86 to: % 57.50/23.32 | (339) ~ (all_0_49_49 = e2) % 57.50/23.32 | % 57.50/23.32 | Simplifying 339 yields: % 57.50/23.32 | (340) ~ (all_0_49_49 = e2) % 57.50/23.32 | % 57.50/23.32 | Equations (1105) can reduce 252 to: % 57.50/23.32 | (327) ~ (e4 = e2) % 57.50/23.32 | % 57.50/23.32 | Simplifying 327 yields: % 57.50/23.32 | (48) ~ (e4 = e2) % 57.50/23.32 | % 57.50/23.32 | Equations (1105) can reduce 1091 to: % 57.50/23.32 | (626) ~ (e3 = e2) % 57.50/23.32 | % 57.50/23.32 | Simplifying 626 yields: % 57.50/23.32 | (212) ~ (e3 = e2) % 57.50/23.32 | % 57.50/23.32 | Equations (1105) can reduce 462 to: % 57.50/23.32 | (122) ~ (e2 = e1) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (377), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (583) all_0_49_49 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (583) can reduce 340 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (340) ~ (all_0_49_49 = e2) % 57.50/23.32 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (565) all_0_52_52 = e4 % 57.50/23.32 | % 57.50/23.32 | Combining equations (352,565) yields a new equation: % 57.50/23.32 | (323) e4 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (323) can reduce 48 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (780) ~ (all_0_52_52 = e4) % 57.50/23.32 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (614), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (607) all_0_53_53 = e2 % 57.50/23.32 | % 57.50/23.32 | Combining equations (665,607) yields a new equation: % 57.50/23.32 | (661) e3 = e2 % 57.50/23.32 | % 57.50/23.32 | Simplifying 661 yields: % 57.50/23.32 | (662) e3 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (662) can reduce 212 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (509) ~ (all_0_53_53 = e2) % 57.50/23.32 | (624) all_0_58_58 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (624) can reduce 491 to: % 57.50/23.32 | (128) ~ (e2 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (112), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (635) all_0_44_44 = e1 % 57.50/23.32 | % 57.50/23.32 | Combining equations (1414,635) yields a new equation: % 57.50/23.32 | (431) e1 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (431) can reduce 233 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (639) ~ (all_0_44_44 = e1) % 57.50/23.32 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (1414) can reduce 639 to: % 57.50/23.32 | (435) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 435 yields: % 57.50/23.32 | (233) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (216), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (629) all_0_55_55 = e1 % 57.50/23.32 | % 57.50/23.32 | Combining equations (858,629) yields a new equation: % 57.50/23.32 | (431) e1 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (431) can reduce 233 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (632) ~ (all_0_55_55 = e1) % 57.50/23.32 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (858) can reduce 632 to: % 57.50/23.32 | (435) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 435 yields: % 57.50/23.32 | (233) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (434), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (615) all_0_48_48 = e1 % 57.50/23.32 | % 57.50/23.32 | Combining equations (1279,615) yields a new equation: % 57.50/23.32 | (431) e1 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (431) can reduce 233 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (619) ~ (all_0_48_48 = e1) % 57.50/23.32 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (1279) can reduce 619 to: % 57.50/23.32 | (435) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 | Simplifying 435 yields: % 57.50/23.32 | (233) ~ (e1 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.32 | % 57.50/23.32 | Applying alpha-rule on (793) yields: % 57.50/23.32 | (794) all_0_41_41 = e0 % 57.50/23.32 | (795) all_0_58_58 = e3 % 57.50/23.32 | (407) ~ (all_0_44_44 = e3) % 57.50/23.32 | % 57.50/23.32 | Combining equations (794,453) yields a new equation: % 57.50/23.32 | (431) e1 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (431) can reduce 233 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.32 | % 57.50/23.32 | Applying alpha-rule on (800) yields: % 57.50/23.32 | (794) all_0_41_41 = e0 % 57.50/23.32 | (795) all_0_58_58 = e3 % 57.50/23.32 | (803) ~ (all_0_55_55 = e0) % 57.50/23.32 | % 57.50/23.32 | Combining equations (794,453) yields a new equation: % 57.50/23.32 | (431) e1 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (431) can reduce 233 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.32 | % 57.50/23.32 | Applying alpha-rule on (807) yields: % 57.50/23.32 | (654) all_0_47_47 = e1 % 57.50/23.32 | (352) all_0_52_52 = e2 % 57.50/23.32 | (810) ~ (all_0_48_48 = e2) % 57.50/23.32 | % 57.50/23.32 | Combining equations (654,1105) yields a new equation: % 57.50/23.32 | (617) e2 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (617) can reduce 122 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.50/23.32 | % 57.50/23.32 | Applying alpha-rule on (813) yields: % 57.50/23.32 | (654) all_0_47_47 = e1 % 57.50/23.32 | (352) all_0_52_52 = e2 % 57.50/23.32 | (464) ~ (all_0_51_51 = e1) % 57.50/23.32 | % 57.50/23.32 | Combining equations (654,1105) yields a new equation: % 57.50/23.32 | (617) e2 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (617) can reduce 122 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.50/23.32 | % 57.50/23.32 | Applying alpha-rule on (819) yields: % 57.50/23.32 | (674) all_0_47_47 = e0 % 57.50/23.32 | (624) all_0_58_58 = e2 % 57.50/23.32 | (340) ~ (all_0_49_49 = e2) % 57.50/23.32 | % 57.50/23.32 | Combining equations (674,1105) yields a new equation: % 57.50/23.32 | (330) e2 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (330) can reduce 128 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.50/23.32 | % 57.50/23.32 | Applying alpha-rule on (825) yields: % 57.50/23.32 | (674) all_0_47_47 = e0 % 57.50/23.32 | (624) all_0_58_58 = e2 % 57.50/23.32 | (828) ~ (all_0_56_56 = e0) % 57.50/23.32 | % 57.50/23.32 | Combining equations (674,1105) yields a new equation: % 57.50/23.32 | (330) e2 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (330) can reduce 128 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (338) ~ (all_0_47_47 = e2) % 57.50/23.32 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (135), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (545) all_0_46_46 = e1 % 57.50/23.32 | % 57.50/23.32 | Combining equations (1557,545) yields a new equation: % 57.50/23.32 | (454) e3 = e1 % 57.50/23.32 | % 57.50/23.32 | Simplifying 454 yields: % 57.50/23.32 | (455) e3 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (455) can reduce 213 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (549) ~ (all_0_46_46 = e1) % 57.50/23.32 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (550), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (654) all_0_47_47 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (654) can reduce 462 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (462) ~ (all_0_47_47 = e1) % 57.50/23.32 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (659), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (615) all_0_48_48 = e1 % 57.50/23.32 | % 57.50/23.32 | Combining equations (1279,615) yields a new equation: % 57.50/23.32 | (431) e1 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (431) can reduce 233 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (619) ~ (all_0_48_48 = e1) % 57.50/23.32 | (671) all_0_49_49 = e1 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (377), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (583) all_0_49_49 = e2 % 57.50/23.32 | % 57.50/23.32 | Combining equations (671,583) yields a new equation: % 57.50/23.32 | (617) e2 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (617) can reduce 122 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (340) ~ (all_0_49_49 = e2) % 57.50/23.32 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (10171), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1105) all_0_47_47 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (1105) can reduce 338 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (338) ~ (all_0_47_47 = e2) % 57.50/23.32 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (385), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1105) all_0_47_47 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (1105) can reduce 338 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (338) ~ (all_0_47_47 = e2) % 57.50/23.32 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (874), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (875) all_0_57_57 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (875) can reduce 364 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (364) ~ (all_0_57_57 = e0) % 57.50/23.32 | (647) all_0_57_57 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (647) can reduce 344 to: % 57.50/23.32 | (604) ~ (e2 = e1) % 57.50/23.32 | % 57.50/23.32 | Simplifying 604 yields: % 57.50/23.32 | (122) ~ (e2 = e1) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (1108), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (504) all_0_51_51 = e2 % 57.50/23.32 | % 57.50/23.32 | Combining equations (1109,504) yields a new equation: % 57.50/23.32 | (617) e2 = e1 % 57.50/23.32 | % 57.50/23.32 | Equations (617) can reduce 122 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (1099) ~ (all_0_51_51 = e2) % 57.50/23.32 | (833) all_0_56_56 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (833) can reduce 44 to: % 57.50/23.32 | (1186) ~ (all_0_58_58 = e2) % 57.50/23.32 | % 57.50/23.32 | Simplifying 1186 yields: % 57.50/23.32 | (908) ~ (all_0_58_58 = e2) % 57.50/23.32 | % 57.50/23.32 | Equations (833) can reduce 272 to: % 57.50/23.32 | (626) ~ (e3 = e2) % 57.50/23.32 | % 57.50/23.32 | Simplifying 626 yields: % 57.50/23.32 | (212) ~ (e3 = e2) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (108), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (624) all_0_58_58 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (624) can reduce 908 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (908) ~ (all_0_58_58 = e2) % 57.50/23.32 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (614), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (607) all_0_53_53 = e2 % 57.50/23.32 | % 57.50/23.32 | Combining equations (665,607) yields a new equation: % 57.50/23.32 | (661) e3 = e2 % 57.50/23.32 | % 57.50/23.32 | Simplifying 661 yields: % 57.50/23.32 | (662) e3 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (662) can reduce 212 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (509) ~ (all_0_53_53 = e2) % 57.50/23.32 | (624) all_0_58_58 = e2 % 57.50/23.32 | % 57.50/23.32 | Equations (624) can reduce 908 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (484) ~ (all_0_39_39 = e0) % 57.50/23.32 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (316), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (1378) all_0_40_40 = e4 % 57.50/23.32 | % 57.50/23.32 | Equations (1378) can reduce 176 to: % 57.50/23.32 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (320), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (471) all_0_39_39 = e4 % 57.50/23.32 | % 57.50/23.32 | Equations (471) can reduce 1377 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.32 | (480) all_0_39_39 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (480) can reduce 484 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (447) ~ (all_0_40_40 = e4) % 57.50/23.32 | (485) all_0_40_40 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (485) can reduce 1401 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (1283) ~ (all_0_48_48 = e0) % 57.50/23.32 | (875) all_0_57_57 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (875) can reduce 364 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.32 | (360) ~ (all_0_44_44 = e0) % 57.50/23.32 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (422), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (775) all_0_50_50 = e4 % 57.50/23.32 | % 57.50/23.32 | Equations (775) can reduce 121 to: % 57.50/23.32 | (49) ~ (e4 = e0) % 57.50/23.32 | % 57.50/23.32 +-Applying beta-rule and splitting (6766), into two cases. % 57.50/23.32 |-Branch one: % 57.50/23.32 | (356) all_0_43_43 = e0 % 57.50/23.32 | % 57.50/23.32 | Combining equations (356,396) yields a new equation: % 57.50/23.32 | (397) e4 = e0 % 57.50/23.32 | % 57.50/23.32 | Equations (397) can reduce 49 to: % 57.50/23.32 | (266) $false % 57.50/23.32 | % 57.50/23.32 |-The branch is then unsatisfiable % 57.50/23.32 |-Branch two: % 57.50/23.33 | (5470) ~ (all_0_43_43 = e0) % 57.50/23.33 | (1414) all_0_44_44 = e0 % 57.50/23.33 | % 57.50/23.33 | Equations (1414) can reduce 360 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (566) ~ (all_0_50_50 = e4) % 57.50/23.33 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (1444), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (601) all_0_50_50 = e1 % 57.50/23.33 | % 57.50/23.33 | Equations (601) can reduce 759 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (759) ~ (all_0_50_50 = e1) % 57.50/23.33 | (415) all_0_50_50 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (415) can reduce 411 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (464) ~ (all_0_51_51 = e1) % 57.50/23.33 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (1202), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (642) all_0_52_52 = e1 % 57.50/23.33 | % 57.50/23.33 | Combining equations (352,642) yields a new equation: % 57.50/23.33 | (616) e2 = e1 % 57.50/23.33 | % 57.50/23.33 | Simplifying 616 yields: % 57.50/23.33 | (617) e2 = e1 % 57.50/23.33 | % 57.50/23.33 | Equations (617) can reduce 122 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (646) ~ (all_0_52_52 = e1) % 57.50/23.33 | (1208) all_0_53_53 = e1 % 57.50/23.33 | % 57.50/23.33 | Combining equations (1208,665) yields a new equation: % 57.50/23.33 | (455) e3 = e1 % 57.50/23.33 | % 57.50/23.33 | Equations (455) can reduce 213 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (457) ~ (all_0_41_41 = e1) % 57.50/23.33 | (403) all_0_41_41 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (403) can reduce 1898 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (405) ~ (all_0_42_42 = e3) % 57.50/23.33 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (1899), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (516) all_0_42_42 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (516) can reduce 405 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (405) ~ (all_0_42_42 = e3) % 57.50/23.33 | (532) all_0_44_44 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (532) can reduce 407 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (903) ~ (all_0_53_53 = e3) % 57.50/23.33 | (795) all_0_58_58 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (795) can reduce 276 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (409) ~ (all_0_46_46 = e3) % 57.50/23.33 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (4042), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (415) all_0_50_50 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (415) can reduce 411 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (411) ~ (all_0_50_50 = e3) % 57.50/23.33 | (2336) all_0_55_55 = e3 % 57.50/23.33 | % 57.50/23.33 | Equations (2336) can reduce 270 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (399) ~ (all_0_43_43 = e4) % 57.50/23.33 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (230), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (396) all_0_43_43 = e4 % 57.50/23.33 | % 57.50/23.33 | Equations (396) can reduce 399 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (399) ~ (all_0_43_43 = e4) % 57.50/23.33 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (6374), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (356) all_0_43_43 = e0 % 57.50/23.33 | % 57.50/23.33 | Equations (356) can reduce 5470 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (5470) ~ (all_0_43_43 = e0) % 57.50/23.33 | (430) all_0_43_43 = e1 % 57.50/23.33 | % 57.50/23.33 | Equations (430) can reduce 159 to: % 57.50/23.33 | (4057) ~ (all_0_44_44 = e1) % 57.50/23.33 | % 57.50/23.33 | Simplifying 4057 yields: % 57.50/23.33 | (639) ~ (all_0_44_44 = e1) % 57.50/23.33 | % 57.50/23.33 | Equations (430) can reduce 17 to: % 57.50/23.33 | (11581) ~ (all_0_48_48 = e1) % 57.50/23.33 | % 57.50/23.33 | Simplifying 11581 yields: % 57.50/23.33 | (619) ~ (all_0_48_48 = e1) % 57.50/23.33 | % 57.50/23.33 | Equations (430) can reduce 99 to: % 57.50/23.33 | (467) ~ (e3 = e1) % 57.50/23.33 | % 57.50/23.33 | Simplifying 467 yields: % 57.50/23.33 | (213) ~ (e3 = e1) % 57.50/23.33 | % 57.50/23.33 | Equations (430) can reduce 96 to: % 57.50/23.33 | (604) ~ (e2 = e1) % 57.50/23.33 | % 57.50/23.33 | Simplifying 604 yields: % 57.50/23.33 | (122) ~ (e2 = e1) % 57.50/23.33 | % 57.50/23.33 | From (430) and (88) follows: % 57.50/23.33 | (6385) op(e1, e3) = all_0_9_9 % 57.50/23.33 | % 57.50/23.33 | From (430) and (98) follows: % 57.50/23.33 | (6386) op(e1, e1) = all_0_10_10 % 57.50/23.33 | % 57.50/23.33 | From (430) and (37) follows: % 57.50/23.33 | (13877) op(e3, e1) = e1 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (400), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (943) all_0_48_48 = e4 % 57.50/23.33 | % 57.50/23.33 | Equations (943) can reduce 254 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (254) ~ (all_0_48_48 = e4) % 57.50/23.33 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (228), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (335) all_0_48_48 = e2 % 57.50/23.33 | % 57.50/23.33 | Equations (335) can reduce 810 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (810) ~ (all_0_48_48 = e2) % 57.50/23.33 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (947), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (565) all_0_52_52 = e4 % 57.50/23.33 | % 57.50/23.33 | Combining equations (565,352) yields a new equation: % 57.50/23.33 | (322) e4 = e2 % 57.50/23.33 | % 57.50/23.33 | Simplifying 322 yields: % 57.50/23.33 | (323) e4 = e2 % 57.50/23.33 | % 57.50/23.33 | Equations (323) can reduce 48 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (780) ~ (all_0_52_52 = e4) % 57.50/23.33 | (871) all_0_57_57 = e4 % 57.50/23.33 | % 57.50/23.33 | Equations (871) can reduce 239 to: % 57.50/23.33 | (254) ~ (all_0_48_48 = e4) % 57.50/23.33 | % 57.50/23.33 | Equations (871) can reduce 148 to: % 57.50/23.33 | (450) ~ (all_0_58_58 = e4) % 57.50/23.33 | % 57.50/23.33 | Simplifying 450 yields: % 57.50/23.33 | (451) ~ (all_0_58_58 = e4) % 57.50/23.33 | % 57.50/23.33 | Equations (871) can reduce 67 to: % 57.50/23.33 | (188) ~ (e4 = e3) % 57.50/23.33 | % 57.50/23.33 | Equations (871) can reduce 344 to: % 57.50/23.33 | (48) ~ (e4 = e2) % 57.50/23.33 | % 57.50/23.33 | From (871) and (83) follows: % 57.50/23.33 | (3109) op(e0, e1) = e4 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (10218), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (943) all_0_48_48 = e4 % 57.50/23.33 | % 57.50/23.33 | Equations (943) can reduce 254 to: % 57.50/23.33 | (266) $false % 57.50/23.33 | % 57.50/23.33 |-The branch is then unsatisfiable % 57.50/23.33 |-Branch two: % 57.50/23.33 | (254) ~ (all_0_48_48 = e4) % 57.50/23.33 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.50/23.33 | % 57.50/23.33 +-Applying beta-rule and splitting (10222), into two cases. % 57.50/23.33 |-Branch one: % 57.50/23.33 | (1279) all_0_48_48 = e0 % 57.50/23.33 | % 57.50/23.33 | Equations (1279) can reduce 114 to: % 57.50/23.33 | (678) ~ (all_0_47_47 = e0) % 57.50/23.33 | % 57.50/23.33 | Equations (1279) can reduce 185 to: % 57.50/23.33 | (486) ~ (all_0_49_49 = e0) % 57.50/23.33 | % 57.50/23.33 | Simplifying 486 yields: % 57.50/23.33 | (487) ~ (all_0_49_49 = e0) % 57.50/23.33 | % 57.50/23.33 | Equations (1279) can reduce 254 to: % 57.50/23.33 | (401) ~ (e4 = e0) % 57.50/23.33 | % 57.50/23.33 | Simplifying 401 yields: % 57.50/23.33 | (49) ~ (e4 = e0) % 57.50/23.33 | % 57.50/23.33 | From (1279) and (169) follows: % 57.50/23.33 | (14936) op(e0, e2) = all_0_18_18 % 57.50/23.33 | % 57.50/23.33 | From (1279) and (21) follows: % 57.50/23.33 | (14937) op(e0, e1) = all_0_19_19 % 57.50/23.33 | % 57.50/23.33 | From (1279) and (192) follows: % 57.50/23.34 | (14938) op(e2, e1) = e0 % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (163), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (565) all_0_52_52 = e4 % 57.50/23.34 | % 57.50/23.34 | Combining equations (352,565) yields a new equation: % 57.50/23.34 | (323) e4 = e2 % 57.50/23.34 | % 57.50/23.34 | Equations (323) can reduce 48 to: % 57.50/23.34 | (266) $false % 57.50/23.34 | % 57.50/23.34 |-The branch is then unsatisfiable % 57.50/23.34 |-Branch two: % 57.50/23.34 | (780) ~ (all_0_52_52 = e4) % 57.50/23.34 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (781), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (789), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (790), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (791), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (792), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 57.50/23.34 | % 57.50/23.34 | Applying alpha-rule on (793) yields: % 57.50/23.34 | (794) all_0_41_41 = e0 % 57.50/23.34 | (795) all_0_58_58 = e3 % 57.50/23.34 | (407) ~ (all_0_44_44 = e3) % 57.50/23.34 | % 57.50/23.34 | Equations (795) can reduce 276 to: % 57.50/23.34 | (266) $false % 57.50/23.34 | % 57.50/23.34 |-The branch is then unsatisfiable % 57.50/23.34 |-Branch two: % 57.50/23.34 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 57.50/23.34 | % 57.50/23.34 | Applying alpha-rule on (800) yields: % 57.50/23.34 | (794) all_0_41_41 = e0 % 57.50/23.34 | (795) all_0_58_58 = e3 % 57.50/23.34 | (803) ~ (all_0_55_55 = e0) % 57.50/23.34 | % 57.50/23.34 | Equations (795) can reduce 276 to: % 57.50/23.34 | (266) $false % 57.50/23.34 | % 57.50/23.34 |-The branch is then unsatisfiable % 57.50/23.34 |-Branch two: % 57.50/23.34 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 57.50/23.34 | % 57.50/23.34 | Applying alpha-rule on (807) yields: % 57.50/23.34 | (654) all_0_47_47 = e1 % 57.50/23.34 | (352) all_0_52_52 = e2 % 57.50/23.34 | (810) ~ (all_0_48_48 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (654) can reduce 79 to: % 57.50/23.34 | (151) ~ (all_0_39_39 = e1) % 57.50/23.34 | % 57.50/23.34 | Equations (654) can reduce 198 to: % 57.50/23.34 | (1380) ~ (all_0_42_42 = e1) % 57.50/23.34 | % 57.50/23.34 | Equations (654) can reduce 86 to: % 57.50/23.34 | (1419) ~ (all_0_49_49 = e1) % 57.50/23.34 | % 57.50/23.34 | Simplifying 1419 yields: % 57.50/23.34 | (1064) ~ (all_0_49_49 = e1) % 57.50/23.34 | % 57.50/23.34 | Equations (654) can reduce 224 to: % 57.50/23.34 | (463) ~ (all_0_51_51 = e1) % 57.50/23.34 | % 57.50/23.34 | Simplifying 463 yields: % 57.50/23.34 | (464) ~ (all_0_51_51 = e1) % 57.50/23.34 | % 57.50/23.34 | Equations (654) can reduce 252 to: % 57.50/23.34 | (602) ~ (e4 = e1) % 57.50/23.34 | % 57.50/23.34 | Simplifying 602 yields: % 57.50/23.34 | (110) ~ (e4 = e1) % 57.50/23.34 | % 57.50/23.34 | Equations (654) can reduce 678 to: % 57.50/23.34 | (233) ~ (e1 = e0) % 57.50/23.34 | % 57.50/23.34 | From (654) and (23) follows: % 57.50/23.34 | (9478) op(e2, e2) = e1 % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (385), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (1105) all_0_47_47 = e2 % 57.50/23.34 | % 57.50/23.34 | Combining equations (654,1105) yields a new equation: % 57.50/23.34 | (617) e2 = e1 % 57.50/23.34 | % 57.50/23.34 | Equations (617) can reduce 122 to: % 57.50/23.34 | (266) $false % 57.50/23.34 | % 57.50/23.34 |-The branch is then unsatisfiable % 57.50/23.34 |-Branch two: % 57.50/23.34 | (338) ~ (all_0_47_47 = e2) % 57.50/23.34 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (1108), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (504) all_0_51_51 = e2 % 57.50/23.34 | % 57.50/23.34 | Equations (504) can reduce 1099 to: % 57.50/23.34 | (266) $false % 57.50/23.34 | % 57.50/23.34 |-The branch is then unsatisfiable % 57.50/23.34 |-Branch two: % 57.50/23.34 | (1099) ~ (all_0_51_51 = e2) % 57.50/23.34 | (833) all_0_56_56 = e2 % 57.50/23.34 | % 57.50/23.34 | Equations (833) can reduce 236 to: % 57.50/23.34 | (51) ~ (all_0_42_42 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (833) can reduce 16 to: % 57.50/23.34 | (1099) ~ (all_0_51_51 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (833) can reduce 153 to: % 57.50/23.34 | (304) ~ (all_0_55_55 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (833) can reduce 44 to: % 57.50/23.34 | (1186) ~ (all_0_58_58 = e2) % 57.50/23.34 | % 57.50/23.34 | Simplifying 1186 yields: % 57.50/23.34 | (908) ~ (all_0_58_58 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (833) can reduce 272 to: % 57.50/23.34 | (626) ~ (e3 = e2) % 57.50/23.34 | % 57.50/23.34 | Simplifying 626 yields: % 57.50/23.34 | (212) ~ (e3 = e2) % 57.50/23.34 | % 57.50/23.34 | From (833) and (87) follows: % 57.50/23.34 | (4151) op(e2, e2) = all_0_34_34 % 57.50/23.34 | % 57.50/23.34 | From (833) and (111) follows: % 57.50/23.34 | (1508) op(e0, e2) = e2 % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (377), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (583) all_0_49_49 = e2 % 57.50/23.34 | % 57.50/23.34 | Equations (583) can reduce 200 to: % 57.50/23.34 | (296) ~ (all_0_40_40 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (583) can reduce 119 to: % 57.50/23.34 | (1186) ~ (all_0_58_58 = e2) % 57.50/23.34 | % 57.50/23.34 | Simplifying 1186 yields: % 57.50/23.34 | (908) ~ (all_0_58_58 = e2) % 57.50/23.34 | % 57.50/23.34 | Equations (583) can reduce 1064 to: % 57.50/23.34 | (122) ~ (e2 = e1) % 57.50/23.34 | % 57.50/23.34 | Equations (583) can reduce 487 to: % 57.50/23.34 | (128) ~ (e2 = e0) % 57.50/23.34 | % 57.50/23.34 | From (583) and (129) follows: % 57.50/23.34 | (14996) op(e2, e2) = all_0_20_20 % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (78), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (423) all_0_45_45 = e3 % 57.50/23.34 | % 57.50/23.34 | Combining equations (248,423) yields a new equation: % 57.50/23.34 | (424) e4 = e3 % 57.50/23.34 | % 57.50/23.34 | Simplifying 424 yields: % 57.50/23.34 | (425) e4 = e3 % 57.50/23.34 | % 57.50/23.34 | Equations (425) can reduce 188 to: % 57.50/23.34 | (266) $false % 57.50/23.34 | % 57.50/23.34 |-The branch is then unsatisfiable % 57.50/23.34 |-Branch two: % 57.50/23.34 | (427) ~ (all_0_45_45 = e3) % 57.50/23.34 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.50/23.34 | % 57.50/23.34 +-Applying beta-rule and splitting (428), into two cases. % 57.50/23.34 |-Branch one: % 57.50/23.34 | (1557) all_0_46_46 = e3 % 57.50/23.34 | % 57.50/23.34 | Equations (1557) can reduce 43 to: % 57.50/23.34 | (1898) ~ (all_0_41_41 = e3) % 57.50/23.34 | % 57.50/23.34 | Equations (1557) can reduce 35 to: % 57.50/23.34 | (410) ~ (all_0_50_50 = e3) % 57.50/23.34 | % 57.50/23.34 | Simplifying 410 yields: % 57.50/23.34 | (411) ~ (all_0_50_50 = e3) % 57.50/23.34 | % 57.50/23.34 | Equations (1557) can reduce 58 to: % 57.50/23.34 | (269) ~ (all_0_55_55 = e3) % 57.50/23.34 | % 57.50/23.34 | Simplifying 269 yields: % 57.50/23.34 | (270) ~ (all_0_55_55 = e3) % 57.50/23.34 | % 57.50/23.34 | From (1557) and (33) follows: % 57.50/23.34 | (3526) op(e3, e3) = all_0_16_16 % 57.50/23.34 | % 57.50/23.34 | From (1557) and (179) follows: % 57.50/23.34 | (3527) op(e3, e2) = all_0_15_15 % 57.50/23.34 | % 57.50/23.34 | From (1557) and (120) follows: % 57.50/23.34 | (697) op(e2, e3) = e3 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e3, e3, all_0_16_16, all_0_41_41 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_41_41, yields: % 57.50/23.34 | (15012) all_0_16_16 = all_0_41_41 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e3, e2, all_0_15_15, all_0_42_42 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_42_42, yields: % 57.50/23.34 | (3582) all_0_15_15 = all_0_42_42 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e2, e2, all_0_34_34, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = all_0_34_34, yields: % 57.50/23.34 | (5157) all_0_20_20 = all_0_34_34 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e2, e2, e1, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = e1, yields: % 57.50/23.34 | (4267) all_0_20_20 = e1 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e1, e3, all_0_9_9, all_0_50_50 and discharging atoms op(e1, e3) = all_0_9_9, op(e1, e3) = all_0_50_50, yields: % 57.50/23.34 | (6393) all_0_9_9 = all_0_50_50 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e1, e1, all_0_10_10, e2 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = e2, yields: % 57.50/23.34 | (15017) all_0_10_10 = e2 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e0, e2, e2, all_0_18_18 and discharging atoms op(e0, e2) = all_0_18_18, op(e0, e2) = e2, yields: % 57.50/23.34 | (15018) all_0_18_18 = e2 % 57.50/23.34 | % 57.50/23.34 | Instantiating formula (29) with e0, e1, e4, all_0_19_19 and discharging atoms op(e0, e1) = all_0_19_19, op(e0, e1) = e4, yields: % 57.50/23.34 | (15019) all_0_19_19 = e4 % 57.50/23.34 | % 57.50/23.34 | Combining equations (5157,4267) yields a new equation: % 57.50/23.34 | (15020) all_0_34_34 = e1 % 57.50/23.34 | % 57.50/23.34 | Simplifying 15020 yields: % 57.50/23.35 | (9480) all_0_34_34 = e1 % 57.50/23.35 | % 57.50/23.35 | From (15012) and (3526) follows: % 57.50/23.35 | (219) op(e3, e3) = all_0_41_41 % 57.50/23.35 | % 57.50/23.35 | From (3582) and (3527) follows: % 57.50/23.35 | (210) op(e3, e2) = all_0_42_42 % 57.50/23.35 | % 57.50/23.35 | From (9480) and (4151) follows: % 57.50/23.35 | (9478) op(e2, e2) = e1 % 57.50/23.35 | % 57.50/23.35 | From (6393) and (6385) follows: % 57.50/23.35 | (242) op(e1, e3) = all_0_50_50 % 57.50/23.35 | % 57.50/23.35 | From (15017) and (6386) follows: % 57.50/23.35 | (10182) op(e1, e1) = e2 % 57.50/23.35 | % 57.50/23.35 | From (15018) and (14936) follows: % 57.50/23.35 | (1508) op(e0, e2) = e2 % 57.50/23.35 | % 57.50/23.35 | From (15019) and (14937) follows: % 57.50/23.35 | (3109) op(e0, e1) = e4 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (113), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (403) all_0_41_41 = e3 % 57.50/23.35 | % 57.50/23.35 | Equations (403) can reduce 1898 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (1898) ~ (all_0_41_41 = e3) % 57.50/23.35 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (168), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (415) all_0_50_50 = e3 % 57.50/23.35 | % 57.50/23.35 | Equations (415) can reduce 411 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (411) ~ (all_0_50_50 = e3) % 57.50/23.35 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (216), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (629) all_0_55_55 = e1 % 57.50/23.35 | % 57.50/23.35 | Equations (629) can reduce 191 to: % 57.50/23.35 | (457) ~ (all_0_41_41 = e1) % 57.50/23.35 | % 57.50/23.35 | Equations (629) can reduce 93 to: % 57.50/23.35 | (759) ~ (all_0_50_50 = e1) % 57.50/23.35 | % 57.50/23.35 | Equations (629) can reduce 3 to: % 57.50/23.35 | (879) ~ (all_0_58_58 = e1) % 57.50/23.35 | % 57.50/23.35 | Simplifying 879 yields: % 57.50/23.35 | (880) ~ (all_0_58_58 = e1) % 57.50/23.35 | % 57.50/23.35 | Equations (629) can reduce 270 to: % 57.50/23.35 | (467) ~ (e3 = e1) % 57.50/23.35 | % 57.50/23.35 | Simplifying 467 yields: % 57.50/23.35 | (213) ~ (e3 = e1) % 57.50/23.35 | % 57.50/23.35 | Equations (629) can reduce 304 to: % 57.50/23.35 | (604) ~ (e2 = e1) % 57.50/23.35 | % 57.50/23.35 | Simplifying 604 yields: % 57.50/23.35 | (122) ~ (e2 = e1) % 57.50/23.35 | % 57.50/23.35 | From (629) and (187) follows: % 57.50/23.35 | (15046) op(e1, e3) = all_0_32_32 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (108), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (624) all_0_58_58 = e2 % 57.50/23.35 | % 57.50/23.35 | Equations (624) can reduce 908 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (908) ~ (all_0_58_58 = e2) % 57.50/23.35 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (112), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (635) all_0_44_44 = e1 % 57.50/23.35 | % 57.50/23.35 | Equations (635) can reduce 639 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (639) ~ (all_0_44_44 = e1) % 57.50/23.35 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (909), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (910) all_0_58_58 = e4 % 57.50/23.35 | % 57.50/23.35 | Equations (910) can reduce 451 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (451) ~ (all_0_58_58 = e4) % 57.50/23.35 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (640), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (671) all_0_49_49 = e1 % 57.50/23.35 | % 57.50/23.35 | Combining equations (583,671) yields a new equation: % 57.50/23.35 | (616) e2 = e1 % 57.50/23.35 | % 57.50/23.35 | Simplifying 616 yields: % 57.50/23.35 | (617) e2 = e1 % 57.50/23.35 | % 57.50/23.35 | Equations (617) can reduce 122 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (1064) ~ (all_0_49_49 = e1) % 57.50/23.35 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.50/23.35 | % 57.50/23.35 | Equations (583) can reduce 1064 to: % 57.50/23.35 | (122) ~ (e2 = e1) % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (913), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (914) all_0_58_58 = e0 % 57.50/23.35 | % 57.50/23.35 | Equations (914) can reduce 178 to: % 57.50/23.35 | (1401) ~ (all_0_40_40 = e0) % 57.50/23.35 | % 57.50/23.35 | Equations (914) can reduce 908 to: % 57.50/23.35 | (365) ~ (e2 = e0) % 57.50/23.35 | % 57.50/23.35 | Simplifying 365 yields: % 57.50/23.35 | (128) ~ (e2 = e0) % 57.50/23.35 | % 57.50/23.35 | Equations (914) can reduce 880 to: % 57.50/23.35 | (435) ~ (e1 = e0) % 57.50/23.35 | % 57.50/23.35 | Simplifying 435 yields: % 57.50/23.35 | (233) ~ (e1 = e0) % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (2141), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (1208) all_0_53_53 = e1 % 57.50/23.35 | % 57.50/23.35 | Equations (1208) can reduce 162 to: % 57.50/23.35 | (132) ~ (all_0_40_40 = e1) % 57.50/23.35 | % 57.50/23.35 | Equations (1208) can reduce 220 to: % 57.50/23.35 | (639) ~ (all_0_44_44 = e1) % 57.50/23.35 | % 57.50/23.35 | Equations (1208) can reduce 190 to: % 57.50/23.35 | (759) ~ (all_0_50_50 = e1) % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (418), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (660) all_0_51_51 = e3 % 57.50/23.35 | % 57.50/23.35 | Equations (660) can reduce 61 to: % 57.50/23.35 | (405) ~ (all_0_42_42 = e3) % 57.50/23.35 | % 57.50/23.35 | Equations (660) can reduce 59 to: % 57.50/23.35 | (411) ~ (all_0_50_50 = e3) % 57.50/23.35 | % 57.50/23.35 | From (660) and (177) follows: % 57.50/23.35 | (9464) op(e3, e2) = all_0_25_25 % 57.50/23.35 | % 57.50/23.35 | From (660) and (157) follows: % 57.50/23.35 | (1551) op(e3, e1) = all_0_24_24 % 57.50/23.35 | % 57.50/23.35 | From (660) and (186) follows: % 57.50/23.35 | (1552) op(e1, e2) = e3 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (1899), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (516) all_0_42_42 = e3 % 57.50/23.35 | % 57.50/23.35 | Equations (516) can reduce 405 to: % 57.50/23.35 | (266) $false % 57.50/23.35 | % 57.50/23.35 |-The branch is then unsatisfiable % 57.50/23.35 |-Branch two: % 57.50/23.35 | (405) ~ (all_0_42_42 = e3) % 57.50/23.35 | (532) all_0_44_44 = e3 % 57.50/23.35 | % 57.50/23.35 | Equations (532) can reduce 143 to: % 57.50/23.35 | (2) ~ (all_0_40_40 = e3) % 57.50/23.35 | % 57.50/23.35 | Equations (532) can reduce 149 to: % 57.50/23.35 | (1898) ~ (all_0_41_41 = e3) % 57.50/23.35 | % 57.50/23.35 | Equations (532) can reduce 639 to: % 57.50/23.35 | (213) ~ (e3 = e1) % 57.50/23.35 | % 57.50/23.35 | From (532) and (70) follows: % 57.50/23.35 | (1954) op(e3, e0) = all_0_12_12 % 57.50/23.35 | % 57.50/23.35 | From (532) and (138) follows: % 57.50/23.35 | (1639) op(e3, e0) = e3 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (150), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (1378) all_0_40_40 = e4 % 57.50/23.35 | % 57.50/23.35 | Equations (1378) can reduce 176 to: % 57.50/23.35 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.35 | % 57.50/23.35 | Equations (1378) can reduce 2 to: % 57.50/23.35 | (188) ~ (e4 = e3) % 57.50/23.35 | % 57.50/23.35 | Equations (1378) can reduce 296 to: % 57.50/23.35 | (48) ~ (e4 = e2) % 57.50/23.35 | % 57.50/23.35 | Equations (1378) can reduce 132 to: % 57.50/23.35 | (110) ~ (e4 = e1) % 57.50/23.35 | % 57.50/23.35 | From (1378) and (34) follows: % 57.50/23.35 | (1455) op(e4, e4) = all_0_4_4 % 57.50/23.35 | % 57.50/23.35 +-Applying beta-rule and splitting (231), into two cases. % 57.50/23.35 |-Branch one: % 57.50/23.35 | (775) all_0_50_50 = e4 % 57.50/23.35 | % 57.50/23.35 | Equations (775) can reduce 221 to: % 57.50/23.35 | (440) ~ (all_0_41_41 = e4) % 57.50/23.35 | % 57.50/23.35 | Equations (775) can reduce 411 to: % 57.50/23.35 | (188) ~ (e4 = e3) % 57.50/23.35 | % 57.50/23.35 | Equations (775) can reduce 759 to: % 57.50/23.35 | (110) ~ (e4 = e1) % 57.50/23.35 | % 57.50/23.35 | From (775) and (242) follows: % 57.50/23.36 | (5059) op(e1, e3) = e4 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (27), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (437) all_0_41_41 = e4 % 57.50/23.36 | % 57.50/23.36 | Equations (437) can reduce 440 to: % 57.50/23.36 | (266) $false % 57.50/23.36 | % 57.50/23.36 |-The branch is then unsatisfiable % 57.50/23.36 |-Branch two: % 57.50/23.36 | (440) ~ (all_0_41_41 = e4) % 57.50/23.36 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (243), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (329) all_0_38_38 = e0 % 57.50/23.36 | % 57.50/23.36 | Combining equations (292,329) yields a new equation: % 57.50/23.36 | (391) e2 = e0 % 57.50/23.36 | % 57.50/23.36 | Simplifying 391 yields: % 57.50/23.36 | (330) e2 = e0 % 57.50/23.36 | % 57.50/23.36 | Equations (330) can reduce 128 to: % 57.50/23.36 | (266) $false % 57.50/23.36 | % 57.50/23.36 |-The branch is then unsatisfiable % 57.50/23.36 |-Branch two: % 57.50/23.36 | (332) ~ (all_0_38_38 = e0) % 57.50/23.36 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (320), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (471) all_0_39_39 = e4 % 57.50/23.36 | % 57.50/23.36 | Equations (471) can reduce 1377 to: % 57.50/23.36 | (266) $false % 57.50/23.36 | % 57.50/23.36 |-The branch is then unsatisfiable % 57.50/23.36 |-Branch two: % 57.50/23.36 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.36 | (480) all_0_39_39 = e0 % 57.50/23.36 | % 57.50/23.36 | Equations (480) can reduce 1377 to: % 57.50/23.36 | (401) ~ (e4 = e0) % 57.50/23.36 | % 57.50/23.36 | Simplifying 401 yields: % 57.50/23.36 | (49) ~ (e4 = e0) % 57.50/23.36 | % 57.50/23.36 | From (480) and (182) follows: % 57.50/23.36 | (1412) op(e0, e4) = all_0_2_2 % 57.50/23.36 | % 57.50/23.36 | From (480) and (38) follows: % 57.50/23.36 | (1413) op(e0, e2) = all_0_3_3 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (164), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (471) all_0_39_39 = e4 % 57.50/23.36 | % 57.50/23.36 | Combining equations (480,471) yields a new equation: % 57.50/23.36 | (397) e4 = e0 % 57.50/23.36 | % 57.50/23.36 | Equations (397) can reduce 49 to: % 57.50/23.36 | (266) $false % 57.50/23.36 | % 57.50/23.36 |-The branch is then unsatisfiable % 57.50/23.36 |-Branch two: % 57.50/23.36 | (1377) ~ (all_0_39_39 = e4) % 57.50/23.36 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (395), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (794) all_0_41_41 = e0 % 57.50/23.36 | % 57.50/23.36 | Equations (794) can reduce 440 to: % 57.50/23.36 | (401) ~ (e4 = e0) % 57.50/23.36 | % 57.50/23.36 | Simplifying 401 yields: % 57.50/23.36 | (49) ~ (e4 = e0) % 57.50/23.36 | % 57.50/23.36 | Equations (794) can reduce 457 to: % 57.50/23.36 | (435) ~ (e1 = e0) % 57.50/23.36 | % 57.50/23.36 | Simplifying 435 yields: % 57.50/23.36 | (233) ~ (e1 = e0) % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (64), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (437) all_0_41_41 = e4 % 57.50/23.36 | % 57.50/23.36 | Combining equations (794,437) yields a new equation: % 57.50/23.36 | (397) e4 = e0 % 57.50/23.36 | % 57.50/23.36 | Equations (397) can reduce 49 to: % 57.50/23.36 | (266) $false % 57.50/23.36 | % 57.50/23.36 |-The branch is then unsatisfiable % 57.50/23.36 |-Branch two: % 57.50/23.36 | (440) ~ (all_0_41_41 = e4) % 57.50/23.36 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (152), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (1392) all_0_42_42 = e4 % 57.50/23.36 | % 57.50/23.36 | From (1392) and (210) follows: % 57.50/23.36 | (4074) op(e3, e2) = e4 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 57.50/23.36 | (1587) all_0_4_4 = e1 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e3, e2, e4, all_0_25_25 and discharging atoms op(e3, e2) = all_0_25_25, op(e3, e2) = e4, yields: % 57.50/23.36 | (15138) all_0_25_25 = e4 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e3, e1, all_0_24_24, e1 and discharging atoms op(e3, e1) = all_0_24_24, op(e3, e1) = e1, yields: % 57.50/23.36 | (15139) all_0_24_24 = e1 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 57.50/23.36 | (2156) all_0_12_12 = e3 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e1, e3, e4, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = e4, yields: % 57.50/23.36 | (15141) all_0_32_32 = e4 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 57.50/23.36 | (1595) all_0_2_2 = e3 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e0, e2, all_0_3_3, e2 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 57.50/23.36 | (1597) all_0_3_3 = e2 % 57.50/23.36 | % 57.50/23.36 | From (1587) and (1455) follows: % 57.50/23.36 | (41) op(e4, e4) = e1 % 57.50/23.36 | % 57.50/23.36 | From (15138) and (9464) follows: % 57.50/23.36 | (4074) op(e3, e2) = e4 % 57.50/23.36 | % 57.50/23.36 | From (15139) and (1551) follows: % 57.50/23.36 | (13877) op(e3, e1) = e1 % 57.50/23.36 | % 57.50/23.36 | From (2156) and (1954) follows: % 57.50/23.36 | (1639) op(e3, e0) = e3 % 57.50/23.36 | % 57.50/23.36 | From (15141) and (15046) follows: % 57.50/23.36 | (5059) op(e1, e3) = e4 % 57.50/23.36 | % 57.50/23.36 | From (1595) and (1412) follows: % 57.50/23.36 | (283) op(e0, e4) = e3 % 57.50/23.36 | % 57.50/23.36 | From (1597) and (1413) follows: % 57.50/23.36 | (1508) op(e0, e2) = e2 % 57.50/23.36 | % 57.50/23.36 +-Applying beta-rule and splitting (56), into two cases. % 57.50/23.36 |-Branch one: % 57.50/23.36 | (696) unit = e2 % 57.50/23.36 | % 57.50/23.36 | From (696) and (32) follows: % 57.50/23.36 | (698) op(e2, e2) = e2 % 57.50/23.36 | % 57.50/23.36 | From (696) and (42) follows: % 57.50/23.36 | (1613) op(e0, e2) = e0 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.50/23.36 | (617) e2 = e1 % 57.50/23.36 | % 57.50/23.36 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.50/23.36 | (330) e2 = e0 % 57.50/23.36 | % 57.50/23.36 | Combining equations (617,330) yields a new equation: % 57.50/23.36 | (546) e1 = e0 % 57.50/23.36 | % 57.50/23.36 | Simplifying 546 yields: % 57.50/23.36 | (431) e1 = e0 % 57.50/23.36 | % 57.60/23.36 | Equations (431) can reduce 233 to: % 57.60/23.36 | (266) $false % 57.60/23.36 | % 57.60/23.36 |-The branch is then unsatisfiable % 57.60/23.36 |-Branch two: % 57.60/23.36 | (707) ~ (unit = e2) % 57.60/23.36 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.60/23.36 | % 57.60/23.36 +-Applying beta-rule and splitting (708), into two cases. % 57.60/23.36 |-Branch one: % 57.60/23.36 | (709) unit = e4 % 57.60/23.36 | % 57.60/23.36 | From (709) and (227) follows: % 57.60/23.36 | (710) op(e4, e4) = e4 % 57.60/23.36 | % 57.60/23.36 | From (709) and (40) follows: % 57.60/23.36 | (711) op(e3, e4) = e3 % 57.60/23.36 | % 57.60/23.36 | From (709) and (32) follows: % 57.60/23.36 | (712) op(e2, e4) = e2 % 57.60/23.36 | % 57.60/23.36 | From (709) and (42) follows: % 57.60/23.36 | (713) op(e0, e4) = e0 % 57.60/23.36 | % 57.60/23.36 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.60/23.36 | (630) e4 = e1 % 57.60/23.36 | % 57.60/23.36 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.60/23.36 | (662) e3 = e2 % 57.60/23.36 | % 57.60/23.36 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.60/23.36 | (323) e4 = e2 % 57.60/23.36 | % 57.60/23.36 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.60/23.36 | (676) e3 = e0 % 57.60/23.36 | % 57.60/23.36 | Combining equations (630,323) yields a new equation: % 57.60/23.36 | (617) e2 = e1 % 57.60/23.36 | % 57.60/23.36 | Combining equations (662,676) yields a new equation: % 57.60/23.36 | (391) e2 = e0 % 57.60/23.36 | % 57.60/23.36 | Simplifying 391 yields: % 57.60/23.36 | (330) e2 = e0 % 57.60/23.36 | % 57.60/23.36 | Combining equations (617,330) yields a new equation: % 57.60/23.36 | (546) e1 = e0 % 57.60/23.36 | % 57.60/23.36 | Simplifying 546 yields: % 57.60/23.36 | (431) e1 = e0 % 57.60/23.36 | % 57.60/23.36 | Equations (431) can reduce 233 to: % 57.60/23.36 | (266) $false % 57.60/23.36 | % 57.60/23.36 |-The branch is then unsatisfiable % 57.60/23.36 |-Branch two: % 57.60/23.36 | (724) ~ (unit = e4) % 57.60/23.36 | (725) unit = e3 | unit = e1 | unit = e0 % 57.60/23.36 | % 57.60/23.36 +-Applying beta-rule and splitting (725), into two cases. % 57.60/23.36 |-Branch one: % 57.60/23.36 | (726) unit = e0 % 57.60/23.36 | % 57.60/23.36 | From (726) and (244) follows: % 57.60/23.36 | (2207) op(e0, e4) = e4 % 57.60/23.36 | % 57.60/23.36 | From (726) and (211) follows: % 57.60/23.36 | (15180) op(e0, e1) = e1 % 57.60/23.36 | % 57.60/23.36 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.60/23.36 | (425) e4 = e3 % 57.60/23.36 | % 57.60/23.36 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 57.60/23.36 | (630) e4 = e1 % 57.60/23.36 | % 57.60/23.36 | Combining equations (425,630) yields a new equation: % 57.60/23.36 | (454) e3 = e1 % 57.60/23.36 | % 57.60/23.37 | Simplifying 454 yields: % 57.60/23.37 | (455) e3 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (455) can reduce 213 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (734) ~ (unit = e0) % 57.60/23.37 | (735) unit = e3 | unit = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (735), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (736) unit = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (736) can reduce 734 to: % 57.60/23.37 | (233) ~ (e1 = e0) % 57.60/23.37 | % 57.60/23.37 | From (736) and (15) follows: % 57.60/23.37 | (515) op(e1, e2) = e2 % 57.60/23.37 | % 57.60/23.37 | From (736) and (40) follows: % 57.60/23.37 | (1652) op(e3, e1) = e3 % 57.60/23.37 | % 57.60/23.37 | From (736) and (32) follows: % 57.60/23.37 | (347) op(e2, e1) = e2 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 57.60/23.37 | (455) e3 = e1 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 57.60/23.37 | (330) e2 = e0 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.60/23.37 | (662) e3 = e2 % 57.60/23.37 | % 57.60/23.37 | Combining equations (662,455) yields a new equation: % 57.60/23.37 | (616) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 616 yields: % 57.60/23.37 | (617) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (330,617) yields a new equation: % 57.60/23.37 | (431) e1 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (431) can reduce 233 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (748) ~ (unit = e1) % 57.60/23.37 | (749) unit = e3 % 57.60/23.37 | % 57.60/23.37 | From (749) and (15) follows: % 57.60/23.37 | (751) op(e3, e2) = e2 % 57.60/23.37 | % 57.60/23.37 | From (749) and (209) follows: % 57.60/23.37 | (1667) op(e3, e0) = e0 % 57.60/23.37 | % 57.60/23.37 | From (749) and (32) follows: % 57.60/23.37 | (5793) op(e2, e3) = e2 % 57.60/23.37 | % 57.60/23.37 | From (749) and (28) follows: % 57.60/23.37 | (2235) op(e1, e3) = e1 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 57.60/23.37 | (323) e4 = e2 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.60/23.37 | (676) e3 = e0 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 57.60/23.37 | (662) e3 = e2 % 57.60/23.37 | % 57.60/23.37 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 57.60/23.37 | (630) e4 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (630,323) yields a new equation: % 57.60/23.37 | (617) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (676,662) yields a new equation: % 57.60/23.37 | (330) e2 = e0 % 57.60/23.37 | % 57.60/23.37 | Combining equations (330,617) yields a new equation: % 57.60/23.37 | (431) e1 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (431) can reduce 233 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (1890) ~ (all_0_42_42 = e4) % 57.60/23.37 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (2115), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (1392) all_0_42_42 = e4 % 57.60/23.37 | % 57.60/23.37 | Equations (1392) can reduce 1890 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (1890) ~ (all_0_42_42 = e4) % 57.60/23.37 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (441), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (1392) all_0_42_42 = e4 % 57.60/23.37 | % 57.60/23.37 | Equations (1392) can reduce 1890 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (1890) ~ (all_0_42_42 = e4) % 57.60/23.37 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1891), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (396) all_0_43_43 = e4 % 57.60/23.37 | % 57.60/23.37 | Combining equations (396,430) yields a new equation: % 57.60/23.37 | (636) e4 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 636 yields: % 57.60/23.37 | (630) e4 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (630) can reduce 110 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (399) ~ (all_0_43_43 = e4) % 57.60/23.37 | (446) all_0_44_44 = e4 % 57.60/23.37 | % 57.60/23.37 | Combining equations (532,446) yields a new equation: % 57.60/23.37 | (425) e4 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (425) can reduce 188 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (357) ~ (all_0_41_41 = e0) % 57.60/23.37 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (165), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (794) all_0_41_41 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (794) can reduce 357 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (357) ~ (all_0_41_41 = e0) % 57.60/23.37 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (4049), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (794) all_0_41_41 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (794) can reduce 357 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (357) ~ (all_0_41_41 = e0) % 57.60/23.37 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (4053), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (453) all_0_41_41 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (453) can reduce 457 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (457) ~ (all_0_41_41 = e1) % 57.60/23.37 | (403) all_0_41_41 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (403) can reduce 1898 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (566) ~ (all_0_50_50 = e4) % 57.60/23.37 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1071), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (1101) all_0_51_51 = e4 % 57.60/23.37 | % 57.60/23.37 | Combining equations (660,1101) yields a new equation: % 57.60/23.37 | (425) e4 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (425) can reduce 188 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (475) ~ (all_0_51_51 = e4) % 57.60/23.37 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (62), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (321) all_0_38_38 = e4 % 57.60/23.37 | % 57.60/23.37 | Combining equations (292,321) yields a new equation: % 57.60/23.37 | (323) e4 = e2 % 57.60/23.37 | % 57.60/23.37 | Equations (323) can reduce 48 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (325) ~ (all_0_38_38 = e4) % 57.60/23.37 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.60/23.37 | % 57.60/23.37 | Equations (292) can reduce 325 to: % 57.60/23.37 | (327) ~ (e4 = e2) % 57.60/23.37 | % 57.60/23.37 | Simplifying 327 yields: % 57.60/23.37 | (48) ~ (e4 = e2) % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1294), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (565) all_0_52_52 = e4 % 57.60/23.37 | % 57.60/23.37 | Combining equations (352,565) yields a new equation: % 57.60/23.37 | (323) e4 = e2 % 57.60/23.37 | % 57.60/23.37 | Equations (323) can reduce 48 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (780) ~ (all_0_52_52 = e4) % 57.60/23.37 | (1298) all_0_53_53 = e4 % 57.60/23.37 | % 57.60/23.37 | Combining equations (1298,1208) yields a new equation: % 57.60/23.37 | (636) e4 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 636 yields: % 57.60/23.37 | (630) e4 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (630) can reduce 110 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (447) ~ (all_0_40_40 = e4) % 57.60/23.37 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (316), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (1378) all_0_40_40 = e4 % 57.60/23.37 | % 57.60/23.37 | Equations (1378) can reduce 447 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (447) ~ (all_0_40_40 = e4) % 57.60/23.37 | (485) all_0_40_40 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (485) can reduce 1401 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (664) ~ (all_0_51_51 = e3) % 57.60/23.37 | (665) all_0_53_53 = e3 % 57.60/23.37 | % 57.60/23.37 | Combining equations (665,1208) yields a new equation: % 57.60/23.37 | (454) e3 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 454 yields: % 57.60/23.37 | (455) e3 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (455) can reduce 213 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (1459) ~ (all_0_53_53 = e1) % 57.60/23.37 | (918) all_0_58_58 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (914,918) yields a new equation: % 57.60/23.37 | (431) e1 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (431) can reduce 233 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (491) ~ (all_0_58_58 = e0) % 57.60/23.37 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (160), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (601) all_0_50_50 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (601) can reduce 759 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (759) ~ (all_0_50_50 = e1) % 57.60/23.37 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1168), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (1109) all_0_51_51 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (1109) can reduce 464 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (464) ~ (all_0_51_51 = e1) % 57.60/23.37 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1202), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (642) all_0_52_52 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (352,642) yields a new equation: % 57.60/23.37 | (616) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 616 yields: % 57.60/23.37 | (617) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (617) can reduce 122 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (646) ~ (all_0_52_52 = e1) % 57.60/23.37 | (1208) all_0_53_53 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (1208) can reduce 10 to: % 57.60/23.37 | (879) ~ (all_0_58_58 = e1) % 57.60/23.37 | % 57.60/23.37 | Simplifying 879 yields: % 57.60/23.37 | (880) ~ (all_0_58_58 = e1) % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (418), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (660) all_0_51_51 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (660) can reduce 61 to: % 57.60/23.37 | (405) ~ (all_0_42_42 = e3) % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (189), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (532) all_0_44_44 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (532) can reduce 181 to: % 57.60/23.37 | (275) ~ (all_0_58_58 = e3) % 57.60/23.37 | % 57.60/23.37 | Simplifying 275 yields: % 57.60/23.37 | (276) ~ (all_0_58_58 = e3) % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (917), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (918) all_0_58_58 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (918) can reduce 880 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (880) ~ (all_0_58_58 = e1) % 57.60/23.37 | (795) all_0_58_58 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (795) can reduce 276 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (407) ~ (all_0_44_44 = e3) % 57.60/23.37 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1899), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (516) all_0_42_42 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (516) can reduce 405 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (405) ~ (all_0_42_42 = e3) % 57.60/23.37 | (532) all_0_44_44 = e3 % 57.60/23.37 | % 57.60/23.37 | Equations (532) can reduce 407 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (664) ~ (all_0_51_51 = e3) % 57.60/23.37 | (665) all_0_53_53 = e3 % 57.60/23.37 | % 57.60/23.37 | Combining equations (665,1208) yields a new equation: % 57.60/23.37 | (454) e3 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 454 yields: % 57.60/23.37 | (455) e3 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (455) can reduce 213 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (632) ~ (all_0_55_55 = e1) % 57.60/23.37 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (633), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (1569) all_0_56_56 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (833,1569) yields a new equation: % 57.60/23.37 | (616) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Simplifying 616 yields: % 57.60/23.37 | (617) e2 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (617) can reduce 122 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (466) ~ (all_0_56_56 = e1) % 57.60/23.37 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (1574), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (647) all_0_57_57 = e1 % 57.60/23.37 | % 57.60/23.37 | Combining equations (647,871) yields a new equation: % 57.60/23.37 | (630) e4 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (630) can reduce 110 to: % 57.60/23.37 | (266) $false % 57.60/23.37 | % 57.60/23.37 |-The branch is then unsatisfiable % 57.60/23.37 |-Branch two: % 57.60/23.37 | (1670) ~ (all_0_57_57 = e1) % 57.60/23.37 | (918) all_0_58_58 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (918) can reduce 178 to: % 57.60/23.37 | (132) ~ (all_0_40_40 = e1) % 57.60/23.37 | % 57.60/23.37 | Equations (918) can reduce 181 to: % 57.60/23.37 | (639) ~ (all_0_44_44 = e1) % 57.60/23.37 | % 57.60/23.37 | Equations (918) can reduce 10 to: % 57.60/23.37 | (1459) ~ (all_0_53_53 = e1) % 57.60/23.37 | % 57.60/23.37 | Equations (918) can reduce 908 to: % 57.60/23.37 | (604) ~ (e2 = e1) % 57.60/23.37 | % 57.60/23.37 | Simplifying 604 yields: % 57.60/23.37 | (122) ~ (e2 = e1) % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (125), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (858) all_0_55_55 = e0 % 57.60/23.37 | % 57.60/23.37 | Equations (858) can reduce 191 to: % 57.60/23.37 | (357) ~ (all_0_41_41 = e0) % 57.60/23.37 | % 57.60/23.37 | From (858) and (187) follows: % 57.60/23.37 | (2064) op(e0, e3) = all_0_32_32 % 57.60/23.37 | % 57.60/23.37 | From (858) and (74) follows: % 57.60/23.37 | (752) op(e0, e3) = e0 % 57.60/23.37 | % 57.60/23.37 +-Applying beta-rule and splitting (160), into two cases. % 57.60/23.37 |-Branch one: % 57.60/23.37 | (601) all_0_50_50 = e1 % 57.60/23.37 | % 57.60/23.37 | Equations (601) can reduce 221 to: % 57.60/23.37 | (457) ~ (all_0_41_41 = e1) % 57.60/23.38 | % 57.60/23.38 | Equations (601) can reduce 59 to: % 57.60/23.38 | (463) ~ (all_0_51_51 = e1) % 57.60/23.38 | % 57.60/23.38 | Simplifying 463 yields: % 57.60/23.38 | (464) ~ (all_0_51_51 = e1) % 57.60/23.38 | % 57.60/23.38 | From (601) and (8) follows: % 57.60/23.38 | (15351) op(e1, e3) = all_0_23_23 % 57.60/23.38 | % 57.60/23.38 | From (601) and (57) follows: % 57.60/23.38 | (606) op(e1, e1) = all_0_22_22 % 57.60/23.38 | % 57.60/23.38 | From (601) and (242) follows: % 57.60/23.38 | (2235) op(e1, e3) = e1 % 57.60/23.38 | % 57.60/23.38 +-Applying beta-rule and splitting (27), into two cases. % 57.60/23.38 |-Branch one: % 57.60/23.38 | (437) all_0_41_41 = e4 % 57.60/23.38 | % 57.60/23.38 | Equations (437) can reduce 214 to: % 57.60/23.38 | (1901) ~ (all_0_42_42 = e4) % 57.60/23.38 | % 57.60/23.38 | Simplifying 1901 yields: % 57.60/23.38 | (1890) ~ (all_0_42_42 = e4) % 57.60/23.38 | % 57.60/23.38 | Equations (437) can reduce 149 to: % 57.62/23.38 | (1903) ~ (all_0_44_44 = e4) % 57.62/23.38 | % 57.62/23.38 | Simplifying 1903 yields: % 57.62/23.38 | (1390) ~ (all_0_44_44 = e4) % 57.62/23.38 | % 57.62/23.38 | Equations (437) can reduce 357 to: % 57.62/23.38 | (49) ~ (e4 = e0) % 57.62/23.38 | % 57.62/23.38 | From (437) and (219) follows: % 57.62/23.38 | (1913) op(e3, e3) = e4 % 57.62/23.38 | % 57.62/23.38 | Instantiating formula (29) with e1, e3, e1, all_0_23_23 and discharging atoms op(e1, e3) = all_0_23_23, op(e1, e3) = e1, yields: % 57.62/23.38 | (9657) all_0_23_23 = e1 % 57.62/23.38 | % 57.62/23.38 | Instantiating formula (29) with e1, e1, all_0_22_22, e2 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e2, yields: % 57.62/23.38 | (15362) all_0_22_22 = e2 % 57.62/23.38 | % 57.62/23.38 | Instantiating formula (29) with e0, e3, e0, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = e0, yields: % 57.62/23.38 | (2163) all_0_32_32 = e0 % 57.62/23.38 | % 57.62/23.38 | From (9657) and (15351) follows: % 57.62/23.38 | (2235) op(e1, e3) = e1 % 57.62/23.38 | % 57.62/23.38 | From (15362) and (606) follows: % 57.62/23.38 | (10182) op(e1, e1) = e2 % 57.62/23.38 | % 57.62/23.38 | From (2163) and (2064) follows: % 57.62/23.38 | (752) op(e0, e3) = e0 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (104), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (480) all_0_39_39 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (480) can reduce 176 to: % 57.62/23.38 | (1400) ~ (all_0_40_40 = e0) % 57.62/23.38 | % 57.62/23.38 | Simplifying 1400 yields: % 57.62/23.38 | (1401) ~ (all_0_40_40 = e0) % 57.62/23.38 | % 57.62/23.38 | Equations (480) can reduce 145 to: % 57.62/23.38 | (5565) ~ (all_0_42_42 = e0) % 57.62/23.38 | % 57.62/23.38 | Simplifying 5565 yields: % 57.62/23.38 | (358) ~ (all_0_42_42 = e0) % 57.62/23.38 | % 57.62/23.38 | Equations (480) can reduce 246 to: % 57.62/23.38 | (541) ~ (e3 = e0) % 57.62/23.38 | % 57.62/23.38 | Simplifying 541 yields: % 57.62/23.38 | (80) ~ (e3 = e0) % 57.62/23.38 | % 57.62/23.38 | Equations (480) can reduce 151 to: % 57.62/23.38 | (435) ~ (e1 = e0) % 57.62/23.38 | % 57.62/23.38 | Simplifying 435 yields: % 57.62/23.38 | (233) ~ (e1 = e0) % 57.62/23.38 | % 57.62/23.38 | From (480) and (182) follows: % 57.62/23.38 | (1412) op(e0, e4) = all_0_2_2 % 57.62/23.38 | % 57.62/23.38 | From (480) and (38) follows: % 57.62/23.38 | (1413) op(e0, e2) = all_0_3_3 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (165), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (794) all_0_41_41 = e0 % 57.62/23.38 | % 57.62/23.38 | Combining equations (437,794) yields a new equation: % 57.62/23.38 | (481) e4 = e0 % 57.62/23.38 | % 57.62/23.38 | Simplifying 481 yields: % 57.62/23.38 | (397) e4 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (397) can reduce 49 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (357) ~ (all_0_41_41 = e0) % 57.62/23.38 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (316), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (1378) all_0_40_40 = e4 % 57.62/23.38 | % 57.62/23.38 | Equations (1378) can reduce 132 to: % 57.62/23.38 | (110) ~ (e4 = e1) % 57.62/23.38 | % 57.62/23.38 | Equations (1378) can reduce 1401 to: % 57.62/23.38 | (49) ~ (e4 = e0) % 57.62/23.38 | % 57.62/23.38 | From (1378) and (34) follows: % 57.62/23.38 | (1455) op(e4, e4) = all_0_4_4 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (152), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (1392) all_0_42_42 = e4 % 57.62/23.38 | % 57.62/23.38 | Equations (1392) can reduce 1890 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (1890) ~ (all_0_42_42 = e4) % 57.62/23.38 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (164), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (471) all_0_39_39 = e4 % 57.62/23.38 | % 57.62/23.38 | Combining equations (480,471) yields a new equation: % 57.62/23.38 | (397) e4 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (397) can reduce 49 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (1377) ~ (all_0_39_39 = e4) % 57.62/23.38 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.62/23.38 | % 57.62/23.38 | Equations (480) can reduce 1377 to: % 57.62/23.38 | (401) ~ (e4 = e0) % 57.62/23.38 | % 57.62/23.38 | Simplifying 401 yields: % 57.62/23.38 | (49) ~ (e4 = e0) % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (6761), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (559) all_0_42_42 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (559) can reduce 358 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (358) ~ (all_0_42_42 = e0) % 57.62/23.38 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (231), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (775) all_0_50_50 = e4 % 57.62/23.38 | % 57.62/23.38 | Combining equations (775,601) yields a new equation: % 57.62/23.38 | (636) e4 = e1 % 57.62/23.38 | % 57.62/23.38 | Simplifying 636 yields: % 57.62/23.38 | (630) e4 = e1 % 57.62/23.38 | % 57.62/23.38 | Equations (630) can reduce 110 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (566) ~ (all_0_50_50 = e4) % 57.62/23.38 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (1969), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (559) all_0_42_42 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (559) can reduce 358 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (358) ~ (all_0_42_42 = e0) % 57.62/23.38 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (75), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (485) all_0_40_40 = e0 % 57.62/23.38 | % 57.62/23.38 | Combining equations (1378,485) yields a new equation: % 57.62/23.38 | (481) e4 = e0 % 57.62/23.38 | % 57.62/23.38 | Simplifying 481 yields: % 57.62/23.38 | (397) e4 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (397) can reduce 49 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (1401) ~ (all_0_40_40 = e0) % 57.62/23.38 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (1071), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (1101) all_0_51_51 = e4 % 57.62/23.38 | % 57.62/23.38 | From (1101) and (186) follows: % 57.62/23.38 | (13720) op(e1, e2) = e4 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (180), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (516) all_0_42_42 = e3 % 57.62/23.38 | % 57.62/23.38 | From (516) and (226) follows: % 57.62/23.38 | (5629) op(e3, e3) = all_0_7_7 % 57.62/23.38 | % 57.62/23.38 +-Applying beta-rule and splitting (6766), into two cases. % 57.62/23.38 |-Branch one: % 57.62/23.38 | (356) all_0_43_43 = e0 % 57.62/23.38 | % 57.62/23.38 | Combining equations (430,356) yields a new equation: % 57.62/23.38 | (546) e1 = e0 % 57.62/23.38 | % 57.62/23.38 | Simplifying 546 yields: % 57.62/23.38 | (431) e1 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (431) can reduce 233 to: % 57.62/23.38 | (266) $false % 57.62/23.38 | % 57.62/23.38 |-The branch is then unsatisfiable % 57.62/23.38 |-Branch two: % 57.62/23.38 | (5470) ~ (all_0_43_43 = e0) % 57.62/23.38 | (1414) all_0_44_44 = e0 % 57.62/23.38 | % 57.62/23.38 | Equations (1414) can reduce 639 to: % 57.62/23.38 | (435) ~ (e1 = e0) % 57.62/23.38 | % 57.62/23.38 | Simplifying 435 yields: % 57.62/23.38 | (233) ~ (e1 = e0) % 57.62/23.38 | % 57.62/23.38 | From (1414) and (204) follows: % 57.62/23.38 | (9785) op(e0, e3) = all_0_11_11 % 57.62/23.38 | % 57.62/23.38 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 57.62/23.38 | (1587) all_0_4_4 = e1 % 57.62/23.38 | % 57.62/23.38 | Instantiating formula (29) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields: % 57.62/23.39 | (15433) all_0_7_7 = e4 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 57.62/23.39 | (1595) all_0_2_2 = e3 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e3, all_0_11_11, e0 and discharging atoms op(e0, e3) = all_0_11_11, op(e0, e3) = e0, yields: % 57.62/23.39 | (15435) all_0_11_11 = e0 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e2, all_0_3_3, e2 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 57.62/23.39 | (1597) all_0_3_3 = e2 % 57.62/23.39 | % 57.62/23.39 | From (1587) and (1455) follows: % 57.62/23.39 | (41) op(e4, e4) = e1 % 57.62/23.39 | % 57.62/23.39 | From (15433) and (5629) follows: % 57.62/23.39 | (1913) op(e3, e3) = e4 % 57.62/23.39 | % 57.62/23.39 | From (1595) and (1412) follows: % 57.62/23.39 | (283) op(e0, e4) = e3 % 57.62/23.39 | % 57.62/23.39 | From (15435) and (9785) follows: % 57.62/23.39 | (752) op(e0, e3) = e0 % 57.62/23.39 | % 57.62/23.39 | From (1597) and (1413) follows: % 57.62/23.39 | (1508) op(e0, e2) = e2 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (56), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (696) unit = e2 % 57.62/23.39 | % 57.62/23.39 | From (696) and (32) follows: % 57.62/23.39 | (698) op(e2, e2) = e2 % 57.62/23.39 | % 57.62/23.39 | From (696) and (42) follows: % 57.62/23.39 | (1613) op(e0, e2) = e0 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.62/23.39 | (617) e2 = e1 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.62/23.39 | (330) e2 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (330,617) yields a new equation: % 57.62/23.39 | (431) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (431) can reduce 233 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (707) ~ (unit = e2) % 57.62/23.39 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (708), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (709) unit = e4 % 57.62/23.39 | % 57.62/23.39 | From (709) and (227) follows: % 57.62/23.39 | (710) op(e4, e4) = e4 % 57.62/23.39 | % 57.62/23.39 | From (709) and (40) follows: % 57.62/23.39 | (711) op(e3, e4) = e3 % 57.62/23.39 | % 57.62/23.39 | From (709) and (32) follows: % 57.62/23.39 | (712) op(e2, e4) = e2 % 57.62/23.39 | % 57.62/23.39 | From (709) and (42) follows: % 57.62/23.39 | (713) op(e0, e4) = e0 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.62/23.39 | (630) e4 = e1 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.62/23.39 | (662) e3 = e2 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.62/23.39 | (323) e4 = e2 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.62/23.39 | (676) e3 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (630,323) yields a new equation: % 57.62/23.39 | (617) e2 = e1 % 57.62/23.39 | % 57.62/23.39 | Combining equations (662,676) yields a new equation: % 57.62/23.39 | (391) e2 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 391 yields: % 57.62/23.39 | (330) e2 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (617,330) yields a new equation: % 57.62/23.39 | (546) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 546 yields: % 57.62/23.39 | (431) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (431) can reduce 233 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (724) ~ (unit = e4) % 57.62/23.39 | (725) unit = e3 | unit = e1 | unit = e0 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (725), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (726) unit = e0 % 57.62/23.39 | % 57.62/23.39 | From (726) and (244) follows: % 57.62/23.39 | (2207) op(e0, e4) = e4 % 57.62/23.39 | % 57.62/23.39 | From (726) and (24) follows: % 57.62/23.39 | (2208) op(e0, e3) = e3 % 57.62/23.39 | % 57.62/23.39 | From (726) and (211) follows: % 57.62/23.39 | (15180) op(e0, e1) = e1 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.62/23.39 | (425) e4 = e3 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 57.62/23.39 | (676) e3 = e0 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 57.62/23.39 | (630) e4 = e1 % 57.62/23.39 | % 57.62/23.39 | Combining equations (425,630) yields a new equation: % 57.62/23.39 | (454) e3 = e1 % 57.62/23.39 | % 57.62/23.39 | Simplifying 454 yields: % 57.62/23.39 | (455) e3 = e1 % 57.62/23.39 | % 57.62/23.39 | Combining equations (676,455) yields a new equation: % 57.62/23.39 | (431) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (431) can reduce 233 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (734) ~ (unit = e0) % 57.62/23.39 | (735) unit = e3 | unit = e1 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (735), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (736) unit = e1 % 57.62/23.39 | % 57.62/23.39 | Equations (736) can reduce 734 to: % 57.62/23.39 | (233) ~ (e1 = e0) % 57.62/23.39 | % 57.62/23.39 | From (736) and (15) follows: % 57.62/23.39 | (515) op(e1, e2) = e2 % 57.62/23.39 | % 57.62/23.39 | From (736) and (28) follows: % 57.62/23.39 | (740) op(e1, e1) = e1 % 57.62/23.39 | % 57.62/23.39 | From (736) and (42) follows: % 57.62/23.39 | (3221) op(e0, e1) = e0 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 57.62/23.39 | (323) e4 = e2 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 57.62/23.39 | (617) e2 = e1 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 57.62/23.39 | (397) e4 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (323,397) yields a new equation: % 57.62/23.39 | (391) e2 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 391 yields: % 57.62/23.39 | (330) e2 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (617,330) yields a new equation: % 57.62/23.39 | (546) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 546 yields: % 57.62/23.39 | (431) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (431) can reduce 233 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (748) ~ (unit = e1) % 57.62/23.39 | (749) unit = e3 % 57.62/23.39 | % 57.62/23.39 | Equations (749) can reduce 707 to: % 57.62/23.39 | (212) ~ (e3 = e2) % 57.62/23.39 | % 57.62/23.39 | From (749) and (244) follows: % 57.62/23.39 | (750) op(e3, e4) = e4 % 57.62/23.39 | % 57.62/23.39 | From (749) and (40) follows: % 57.62/23.39 | (3715) op(e3, e3) = e3 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.62/23.39 | (323) e4 = e2 % 57.62/23.39 | % 57.62/23.39 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.62/23.39 | (425) e4 = e3 % 57.62/23.39 | % 57.62/23.39 | Combining equations (323,425) yields a new equation: % 57.62/23.39 | (662) e3 = e2 % 57.62/23.39 | % 57.62/23.39 | Equations (662) can reduce 212 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (405) ~ (all_0_42_42 = e3) % 57.62/23.39 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (1899), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (516) all_0_42_42 = e3 % 57.62/23.39 | % 57.62/23.39 | Equations (516) can reduce 405 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (405) ~ (all_0_42_42 = e3) % 57.62/23.39 | (532) all_0_44_44 = e3 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (1748), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (1414) all_0_44_44 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (532,1414) yields a new equation: % 57.62/23.39 | (675) e3 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 675 yields: % 57.62/23.39 | (676) e3 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (676) can reduce 80 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (360) ~ (all_0_44_44 = e0) % 57.62/23.39 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (532) can reduce 360 to: % 57.62/23.39 | (80) ~ (e3 = e0) % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (6766), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (356) all_0_43_43 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (430,356) yields a new equation: % 57.62/23.39 | (546) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 546 yields: % 57.62/23.39 | (431) e1 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (431) can reduce 233 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (5470) ~ (all_0_43_43 = e0) % 57.62/23.39 | (1414) all_0_44_44 = e0 % 57.62/23.39 | % 57.62/23.39 | Combining equations (532,1414) yields a new equation: % 57.62/23.39 | (675) e3 = e0 % 57.62/23.39 | % 57.62/23.39 | Simplifying 675 yields: % 57.62/23.39 | (676) e3 = e0 % 57.62/23.39 | % 57.62/23.39 | Equations (676) can reduce 80 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (475) ~ (all_0_51_51 = e4) % 57.62/23.39 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (7), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (504) all_0_51_51 = e2 % 57.62/23.39 | % 57.62/23.39 | Equations (504) can reduce 1099 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (1099) ~ (all_0_51_51 = e2) % 57.62/23.39 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (1100), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (1101) all_0_51_51 = e4 % 57.62/23.39 | % 57.62/23.39 | Equations (1101) can reduce 475 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (475) ~ (all_0_51_51 = e4) % 57.62/23.39 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (1104), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (1109) all_0_51_51 = e1 % 57.62/23.39 | % 57.62/23.39 | Equations (1109) can reduce 464 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (464) ~ (all_0_51_51 = e1) % 57.62/23.39 | (660) all_0_51_51 = e3 % 57.62/23.39 | % 57.62/23.39 | Equations (660) can reduce 61 to: % 57.62/23.39 | (405) ~ (all_0_42_42 = e3) % 57.62/23.39 | % 57.62/23.39 +-Applying beta-rule and splitting (2510), into two cases. % 57.62/23.39 |-Branch one: % 57.62/23.39 | (459) all_0_42_42 = e1 % 57.62/23.39 | % 57.62/23.39 | Equations (459) can reduce 1380 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.39 |-Branch two: % 57.62/23.39 | (1380) ~ (all_0_42_42 = e1) % 57.62/23.39 | (516) all_0_42_42 = e3 % 57.62/23.39 | % 57.62/23.39 | Equations (516) can reduce 405 to: % 57.62/23.39 | (266) $false % 57.62/23.39 | % 57.62/23.39 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (447) ~ (all_0_40_40 = e4) % 57.62/23.40 | (485) all_0_40_40 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (485) can reduce 1401 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (484) ~ (all_0_39_39 = e0) % 57.62/23.40 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (333), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (480) all_0_39_39 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (480) can reduce 484 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (484) ~ (all_0_39_39 = e0) % 57.62/23.40 | (485) all_0_40_40 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (485) can reduce 296 to: % 57.62/23.40 | (365) ~ (e2 = e0) % 57.62/23.40 | % 57.62/23.40 | Simplifying 365 yields: % 57.62/23.40 | (128) ~ (e2 = e0) % 57.62/23.40 | % 57.62/23.40 | Equations (485) can reduce 132 to: % 57.62/23.40 | (435) ~ (e1 = e0) % 57.62/23.40 | % 57.62/23.40 | Simplifying 435 yields: % 57.62/23.40 | (233) ~ (e1 = e0) % 57.62/23.40 | % 57.62/23.40 | From (485) and (34) follows: % 57.62/23.40 | (494) op(e0, e4) = all_0_4_4 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (26), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (446) all_0_44_44 = e4 % 57.62/23.40 | % 57.62/23.40 | Equations (446) can reduce 1390 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (1390) ~ (all_0_44_44 = e4) % 57.62/23.40 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (165), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (794) all_0_41_41 = e0 % 57.62/23.40 | % 57.62/23.40 | Combining equations (437,794) yields a new equation: % 57.62/23.40 | (481) e4 = e0 % 57.62/23.40 | % 57.62/23.40 | Simplifying 481 yields: % 57.62/23.40 | (397) e4 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (397) can reduce 49 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (357) ~ (all_0_41_41 = e0) % 57.62/23.40 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (437) can reduce 357 to: % 57.62/23.40 | (49) ~ (e4 = e0) % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (326), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (471) all_0_39_39 = e4 % 57.62/23.40 | % 57.62/23.40 | From (471) and (182) follows: % 57.62/23.40 | (479) op(e4, e4) = all_0_2_2 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (558), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (559) all_0_42_42 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (559) can reduce 73 to: % 57.62/23.40 | (359) ~ (all_0_44_44 = e0) % 57.62/23.40 | % 57.62/23.40 | Simplifying 359 yields: % 57.62/23.40 | (360) ~ (all_0_44_44 = e0) % 57.62/23.40 | % 57.62/23.40 | Equations (559) can reduce 51 to: % 57.62/23.40 | (365) ~ (e2 = e0) % 57.62/23.40 | % 57.62/23.40 | Simplifying 365 yields: % 57.62/23.40 | (128) ~ (e2 = e0) % 57.62/23.40 | % 57.62/23.40 | Equations (559) can reduce 1380 to: % 57.62/23.40 | (435) ~ (e1 = e0) % 57.62/23.40 | % 57.62/23.40 | Simplifying 435 yields: % 57.62/23.40 | (233) ~ (e1 = e0) % 57.62/23.40 | % 57.62/23.40 | From (559) and (226) follows: % 57.62/23.40 | (15579) op(e0, e3) = all_0_7_7 % 57.62/23.40 | % 57.62/23.40 | From (559) and (225) follows: % 57.62/23.40 | (15580) op(e0, e2) = all_0_8_8 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (1391), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (1414) all_0_44_44 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (1414) can reduce 360 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (360) ~ (all_0_44_44 = e0) % 57.62/23.40 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (1417), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (635) all_0_44_44 = e1 % 57.62/23.40 | % 57.62/23.40 | Equations (635) can reduce 639 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (639) ~ (all_0_44_44 = e1) % 57.62/23.40 | (532) all_0_44_44 = e3 % 57.62/23.40 | % 57.62/23.40 | Equations (532) can reduce 220 to: % 57.62/23.40 | (1114) ~ (all_0_53_53 = e3) % 57.62/23.40 | % 57.62/23.40 | Simplifying 1114 yields: % 57.62/23.40 | (903) ~ (all_0_53_53 = e3) % 57.62/23.40 | % 57.62/23.40 | From (532) and (204) follows: % 57.62/23.40 | (15591) op(e3, e3) = all_0_11_11 % 57.62/23.40 | % 57.62/23.40 | From (532) and (70) follows: % 57.62/23.40 | (1954) op(e3, e0) = all_0_12_12 % 57.62/23.40 | % 57.62/23.40 | From (532) and (138) follows: % 57.62/23.40 | (1639) op(e3, e0) = e3 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (418), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (660) all_0_51_51 = e3 % 57.62/23.40 | % 57.62/23.40 | From (660) and (186) follows: % 57.62/23.40 | (1552) op(e1, e2) = e3 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 57.62/23.40 | (496) all_0_2_2 = e1 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e3, e3, all_0_11_11, e4 and discharging atoms op(e3, e3) = all_0_11_11, op(e3, e3) = e4, yields: % 57.62/23.40 | (9789) all_0_11_11 = e4 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 57.62/23.40 | (2156) all_0_12_12 = e3 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 57.62/23.40 | (498) all_0_4_4 = e3 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e0, e3, all_0_7_7, e0 and discharging atoms op(e0, e3) = all_0_7_7, op(e0, e3) = e0, yields: % 57.62/23.40 | (5710) all_0_7_7 = e0 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e0, e2, all_0_8_8, e2 and discharging atoms op(e0, e2) = all_0_8_8, op(e0, e2) = e2, yields: % 57.62/23.40 | (15601) all_0_8_8 = e2 % 57.62/23.40 | % 57.62/23.40 | From (496) and (479) follows: % 57.62/23.40 | (41) op(e4, e4) = e1 % 57.62/23.40 | % 57.62/23.40 | From (9789) and (15591) follows: % 57.62/23.40 | (1913) op(e3, e3) = e4 % 57.62/23.40 | % 57.62/23.40 | From (2156) and (1954) follows: % 57.62/23.40 | (1639) op(e3, e0) = e3 % 57.62/23.40 | % 57.62/23.40 | From (498) and (494) follows: % 57.62/23.40 | (283) op(e0, e4) = e3 % 57.62/23.40 | % 57.62/23.40 | From (5710) and (15579) follows: % 57.62/23.40 | (752) op(e0, e3) = e0 % 57.62/23.40 | % 57.62/23.40 | From (15601) and (15580) follows: % 57.62/23.40 | (1508) op(e0, e2) = e2 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (56), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (696) unit = e2 % 57.62/23.40 | % 57.62/23.40 | From (696) and (32) follows: % 57.62/23.40 | (698) op(e2, e2) = e2 % 57.62/23.40 | % 57.62/23.40 | From (696) and (42) follows: % 57.62/23.40 | (1613) op(e0, e2) = e0 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.62/23.40 | (617) e2 = e1 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.62/23.40 | (330) e2 = e0 % 57.62/23.40 | % 57.62/23.40 | Combining equations (330,617) yields a new equation: % 57.62/23.40 | (431) e1 = e0 % 57.62/23.40 | % 57.62/23.40 | Equations (431) can reduce 233 to: % 57.62/23.40 | (266) $false % 57.62/23.40 | % 57.62/23.40 |-The branch is then unsatisfiable % 57.62/23.40 |-Branch two: % 57.62/23.40 | (707) ~ (unit = e2) % 57.62/23.40 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.62/23.40 | % 57.62/23.40 +-Applying beta-rule and splitting (708), into two cases. % 57.62/23.40 |-Branch one: % 57.62/23.40 | (709) unit = e4 % 57.62/23.40 | % 57.62/23.40 | From (709) and (227) follows: % 57.62/23.40 | (710) op(e4, e4) = e4 % 57.62/23.40 | % 57.62/23.40 | From (709) and (40) follows: % 57.62/23.40 | (711) op(e3, e4) = e3 % 57.62/23.40 | % 57.62/23.40 | From (709) and (32) follows: % 57.62/23.40 | (712) op(e2, e4) = e2 % 57.62/23.40 | % 57.62/23.40 | From (709) and (42) follows: % 57.62/23.40 | (713) op(e0, e4) = e0 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.62/23.40 | (630) e4 = e1 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.62/23.40 | (662) e3 = e2 % 57.62/23.40 | % 57.62/23.40 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.74/23.42 | (323) e4 = e2 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.74/23.42 | (676) e3 = e0 % 57.74/23.42 | % 57.74/23.42 | Combining equations (323,630) yields a new equation: % 57.74/23.42 | (616) e2 = e1 % 57.74/23.42 | % 57.74/23.42 | Simplifying 616 yields: % 57.74/23.42 | (617) e2 = e1 % 57.74/23.42 | % 57.74/23.42 | Combining equations (662,676) yields a new equation: % 57.74/23.42 | (391) e2 = e0 % 57.74/23.42 | % 57.74/23.42 | Simplifying 391 yields: % 57.74/23.42 | (330) e2 = e0 % 57.74/23.42 | % 57.74/23.42 | Combining equations (330,617) yields a new equation: % 57.74/23.42 | (431) e1 = e0 % 57.74/23.42 | % 57.74/23.42 | Equations (431) can reduce 233 to: % 57.74/23.42 | (266) $false % 57.74/23.42 | % 57.74/23.42 |-The branch is then unsatisfiable % 57.74/23.42 |-Branch two: % 57.74/23.42 | (724) ~ (unit = e4) % 57.74/23.42 | (725) unit = e3 | unit = e1 | unit = e0 % 57.74/23.42 | % 57.74/23.42 +-Applying beta-rule and splitting (725), into two cases. % 57.74/23.42 |-Branch one: % 57.74/23.42 | (726) unit = e0 % 57.74/23.42 | % 57.74/23.42 | From (726) and (244) follows: % 57.74/23.42 | (2207) op(e0, e4) = e4 % 57.74/23.42 | % 57.74/23.42 | From (726) and (24) follows: % 57.74/23.42 | (2208) op(e0, e3) = e3 % 57.74/23.42 | % 57.74/23.42 | From (726) and (211) follows: % 57.74/23.42 | (15180) op(e0, e1) = e1 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.74/23.42 | (425) e4 = e3 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 57.74/23.42 | (676) e3 = e0 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 57.74/23.42 | (630) e4 = e1 % 57.74/23.42 | % 57.74/23.42 | Combining equations (425,630) yields a new equation: % 57.74/23.42 | (454) e3 = e1 % 57.74/23.42 | % 57.74/23.42 | Simplifying 454 yields: % 57.74/23.42 | (455) e3 = e1 % 57.74/23.42 | % 57.74/23.42 | Combining equations (455,676) yields a new equation: % 57.74/23.42 | (546) e1 = e0 % 57.74/23.42 | % 57.74/23.42 | Simplifying 546 yields: % 57.74/23.42 | (431) e1 = e0 % 57.74/23.42 | % 57.74/23.42 | Equations (431) can reduce 233 to: % 57.74/23.42 | (266) $false % 57.74/23.42 | % 57.74/23.42 |-The branch is then unsatisfiable % 57.74/23.42 |-Branch two: % 57.74/23.42 | (734) ~ (unit = e0) % 57.74/23.42 | (735) unit = e3 | unit = e1 % 57.74/23.42 | % 57.74/23.42 +-Applying beta-rule and splitting (735), into two cases. % 57.74/23.42 |-Branch one: % 57.74/23.42 | (736) unit = e1 % 57.74/23.42 | % 57.74/23.42 | Equations (736) can reduce 734 to: % 57.74/23.42 | (233) ~ (e1 = e0) % 57.74/23.42 | % 57.74/23.42 | From (736) and (24) follows: % 57.74/23.42 | (1934) op(e1, e3) = e3 % 57.74/23.42 | % 57.74/23.42 | From (736) and (15) follows: % 57.74/23.42 | (515) op(e1, e2) = e2 % 57.74/23.42 | % 57.74/23.42 | From (736) and (32) follows: % 57.74/23.42 | (347) op(e2, e1) = e2 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 57.74/23.42 | (330) e2 = e0 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.74/23.42 | (455) e3 = e1 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.74/23.42 | (662) e3 = e2 % 57.74/23.42 | % 57.74/23.42 | Combining equations (662,455) yields a new equation: % 57.74/23.42 | (616) e2 = e1 % 57.74/23.42 | % 57.74/23.42 | Simplifying 616 yields: % 57.74/23.42 | (617) e2 = e1 % 57.74/23.42 | % 57.74/23.42 | Combining equations (617,330) yields a new equation: % 57.74/23.42 | (546) e1 = e0 % 57.74/23.42 | % 57.74/23.42 | Simplifying 546 yields: % 57.74/23.42 | (431) e1 = e0 % 57.74/23.42 | % 57.74/23.42 | Equations (431) can reduce 233 to: % 57.74/23.42 | (266) $false % 57.74/23.42 | % 57.74/23.42 |-The branch is then unsatisfiable % 57.74/23.42 |-Branch two: % 57.74/23.42 | (748) ~ (unit = e1) % 57.74/23.42 | (749) unit = e3 % 57.74/23.42 | % 57.74/23.42 | From (749) and (244) follows: % 57.74/23.42 | (750) op(e3, e4) = e4 % 57.74/23.42 | % 57.74/23.42 | From (749) and (209) follows: % 57.74/23.42 | (1667) op(e3, e0) = e0 % 57.74/23.42 | % 57.74/23.42 | From (749) and (40) follows: % 57.74/23.42 | (3715) op(e3, e3) = e3 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.74/23.42 | (323) e4 = e2 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.74/23.42 | (425) e4 = e3 % 57.74/23.42 | % 57.74/23.42 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.74/23.42 | (676) e3 = e0 % 57.74/23.42 | % 57.74/23.42 | Combining equations (323,425) yields a new equation: % 57.74/23.42 | (662) e3 = e2 % 57.74/23.42 | % 57.74/23.42 | Combining equations (676,662) yields a new equation: % 57.74/23.42 | (330) e2 = e0 % 57.74/23.42 | % 57.74/23.42 | Equations (330) can reduce 128 to: % 57.74/23.42 | (266) $false % 57.74/23.42 | % 57.74/23.42 |-The branch is then unsatisfiable % 57.74/23.42 |-Branch two: % 57.74/23.42 | (664) ~ (all_0_51_51 = e3) % 57.74/23.42 | (665) all_0_53_53 = e3 % 57.74/23.42 | % 57.74/23.42 | Equations (665) can reduce 903 to: % 57.74/23.42 | (266) $false % 57.74/23.42 | % 57.74/23.42 |-The branch is then unsatisfiable % 57.74/23.42 |-Branch two: % 57.74/23.42 | (358) ~ (all_0_42_42 = e0) % 57.74/23.42 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (563), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (674) all_0_47_47 = e0 % 57.74/23.43 | % 57.74/23.43 | Combining equations (654,674) yields a new equation: % 57.74/23.43 | (546) e1 = e0 % 57.74/23.43 | % 57.74/23.43 | Simplifying 546 yields: % 57.74/23.43 | (431) e1 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (431) can reduce 233 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (678) ~ (all_0_47_47 = e0) % 57.74/23.43 | (679) all_0_56_56 = e0 % 57.74/23.43 | % 57.74/23.43 | Combining equations (833,679) yields a new equation: % 57.74/23.43 | (391) e2 = e0 % 57.74/23.43 | % 57.74/23.43 | Simplifying 391 yields: % 57.74/23.43 | (330) e2 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (330) can reduce 128 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (1377) ~ (all_0_39_39 = e4) % 57.74/23.43 | (1378) all_0_40_40 = e4 % 57.74/23.43 | % 57.74/23.43 | Combining equations (485,1378) yields a new equation: % 57.74/23.43 | (397) e4 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (397) can reduce 49 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (440) ~ (all_0_41_41 = e4) % 57.74/23.43 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (4049), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (794) all_0_41_41 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (794) can reduce 357 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (357) ~ (all_0_41_41 = e0) % 57.74/23.43 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (4053), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (453) all_0_41_41 = e1 % 57.74/23.43 | % 57.74/23.43 | Equations (453) can reduce 457 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (457) ~ (all_0_41_41 = e1) % 57.74/23.43 | (403) all_0_41_41 = e3 % 57.74/23.43 | % 57.74/23.43 | Equations (403) can reduce 1898 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (759) ~ (all_0_50_50 = e1) % 57.74/23.43 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (1168), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (1109) all_0_51_51 = e1 % 57.74/23.43 | % 57.74/23.43 | Equations (1109) can reduce 464 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (464) ~ (all_0_51_51 = e1) % 57.74/23.43 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (1202), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (642) all_0_52_52 = e1 % 57.74/23.43 | % 57.74/23.43 | Combining equations (352,642) yields a new equation: % 57.74/23.43 | (616) e2 = e1 % 57.74/23.43 | % 57.74/23.43 | Simplifying 616 yields: % 57.74/23.43 | (617) e2 = e1 % 57.74/23.43 | % 57.74/23.43 | Equations (617) can reduce 122 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (646) ~ (all_0_52_52 = e1) % 57.74/23.43 | (1208) all_0_53_53 = e1 % 57.74/23.43 | % 57.74/23.43 | Equations (1208) can reduce 1459 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (803) ~ (all_0_55_55 = e0) % 57.74/23.43 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (863), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (679) all_0_56_56 = e0 % 57.74/23.43 | % 57.74/23.43 | Combining equations (833,679) yields a new equation: % 57.74/23.43 | (391) e2 = e0 % 57.74/23.43 | % 57.74/23.43 | Simplifying 391 yields: % 57.74/23.43 | (330) e2 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (330) can reduce 128 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (828) ~ (all_0_56_56 = e0) % 57.74/23.43 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (924), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (875) all_0_57_57 = e0 % 57.74/23.43 | % 57.74/23.43 | Combining equations (871,875) yields a new equation: % 57.74/23.43 | (481) e4 = e0 % 57.74/23.43 | % 57.74/23.43 | Simplifying 481 yields: % 57.74/23.43 | (397) e4 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (397) can reduce 49 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (364) ~ (all_0_57_57 = e0) % 57.74/23.43 | (914) all_0_58_58 = e0 % 57.74/23.43 | % 57.74/23.43 | Combining equations (914,918) yields a new equation: % 57.74/23.43 | (431) e1 = e0 % 57.74/23.43 | % 57.74/23.43 | Equations (431) can reduce 233 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (409) ~ (all_0_46_46 = e3) % 57.74/23.43 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (1561), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (522) all_0_47_47 = e3 % 57.74/23.43 | % 57.74/23.43 | Combining equations (654,522) yields a new equation: % 57.74/23.43 | (455) e3 = e1 % 57.74/23.43 | % 57.74/23.43 | Equations (455) can reduce 213 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (1091) ~ (all_0_47_47 = e3) % 57.74/23.43 | (884) all_0_49_49 = e3 % 57.74/23.43 | % 57.74/23.43 | Combining equations (583,884) yields a new equation: % 57.74/23.43 | (662) e3 = e2 % 57.74/23.43 | % 57.74/23.43 | Equations (662) can reduce 212 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (340) ~ (all_0_49_49 = e2) % 57.74/23.43 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (614), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (607) all_0_53_53 = e2 % 57.74/23.43 | % 57.74/23.43 | Equations (607) can reduce 509 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (509) ~ (all_0_53_53 = e2) % 57.74/23.43 | (624) all_0_58_58 = e2 % 57.74/23.43 | % 57.74/23.43 | Equations (624) can reduce 908 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 57.74/23.43 | % 57.74/23.43 | Applying alpha-rule on (813) yields: % 57.74/23.43 | (654) all_0_47_47 = e1 % 57.74/23.43 | (352) all_0_52_52 = e2 % 57.74/23.43 | (464) ~ (all_0_51_51 = e1) % 57.74/23.43 | % 57.74/23.43 | Equations (654) can reduce 79 to: % 57.74/23.43 | (151) ~ (all_0_39_39 = e1) % 57.74/23.43 | % 57.74/23.43 | Equations (654) can reduce 198 to: % 57.74/23.43 | (1380) ~ (all_0_42_42 = e1) % 57.74/23.43 | % 57.74/23.43 | Equations (654) can reduce 86 to: % 57.74/23.43 | (1419) ~ (all_0_49_49 = e1) % 57.74/23.43 | % 57.74/23.43 | Simplifying 1419 yields: % 57.74/23.43 | (1064) ~ (all_0_49_49 = e1) % 57.74/23.43 | % 57.74/23.43 | Equations (654) can reduce 224 to: % 57.74/23.43 | (463) ~ (all_0_51_51 = e1) % 57.74/23.43 | % 57.74/23.43 | Simplifying 463 yields: % 57.74/23.43 | (464) ~ (all_0_51_51 = e1) % 57.74/23.43 | % 57.74/23.43 | Equations (654) can reduce 252 to: % 57.74/23.43 | (602) ~ (e4 = e1) % 57.74/23.43 | % 57.74/23.43 | Simplifying 602 yields: % 57.74/23.43 | (110) ~ (e4 = e1) % 57.74/23.43 | % 57.74/23.43 | Equations (654) can reduce 678 to: % 57.74/23.43 | (233) ~ (e1 = e0) % 57.74/23.43 | % 57.74/23.43 | From (654) and (23) follows: % 57.74/23.43 | (9478) op(e2, e2) = e1 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (385), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (1105) all_0_47_47 = e2 % 57.74/23.43 | % 57.74/23.43 | Combining equations (654,1105) yields a new equation: % 57.74/23.43 | (617) e2 = e1 % 57.74/23.43 | % 57.74/23.43 | Equations (617) can reduce 122 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (338) ~ (all_0_47_47 = e2) % 57.74/23.43 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.74/23.43 | % 57.74/23.43 +-Applying beta-rule and splitting (1108), into two cases. % 57.74/23.43 |-Branch one: % 57.74/23.43 | (504) all_0_51_51 = e2 % 57.74/23.43 | % 57.74/23.43 | Equations (504) can reduce 1099 to: % 57.74/23.43 | (266) $false % 57.74/23.43 | % 57.74/23.43 |-The branch is then unsatisfiable % 57.74/23.43 |-Branch two: % 57.74/23.43 | (1099) ~ (all_0_51_51 = e2) % 57.74/23.43 | (833) all_0_56_56 = e2 % 57.74/23.43 | % 57.74/23.43 | Equations (833) can reduce 236 to: % 57.74/23.43 | (51) ~ (all_0_42_42 = e2) % 57.74/23.43 | % 57.74/23.43 | Equations (833) can reduce 16 to: % 57.74/23.44 | (1099) ~ (all_0_51_51 = e2) % 57.74/23.44 | % 57.74/23.44 | Equations (833) can reduce 153 to: % 57.74/23.44 | (304) ~ (all_0_55_55 = e2) % 57.74/23.44 | % 57.74/23.44 | Equations (833) can reduce 44 to: % 57.74/23.44 | (1186) ~ (all_0_58_58 = e2) % 57.74/23.44 | % 57.74/23.44 | Simplifying 1186 yields: % 57.74/23.44 | (908) ~ (all_0_58_58 = e2) % 57.74/23.44 | % 57.74/23.44 | Equations (833) can reduce 272 to: % 57.74/23.44 | (626) ~ (e3 = e2) % 57.74/23.44 | % 57.74/23.44 | Simplifying 626 yields: % 57.74/23.44 | (212) ~ (e3 = e2) % 57.74/23.44 | % 57.74/23.44 | From (833) and (87) follows: % 57.74/23.44 | (4151) op(e2, e2) = all_0_34_34 % 57.74/23.44 | % 57.74/23.44 | From (833) and (111) follows: % 57.74/23.44 | (1508) op(e0, e2) = e2 % 57.74/23.44 | % 57.74/23.44 +-Applying beta-rule and splitting (377), into two cases. % 57.74/23.44 |-Branch one: % 57.74/23.44 | (583) all_0_49_49 = e2 % 57.74/23.44 | % 57.74/23.44 | Equations (583) can reduce 200 to: % 57.74/23.44 | (296) ~ (all_0_40_40 = e2) % 57.74/23.44 | % 57.74/23.44 | Equations (583) can reduce 119 to: % 57.74/23.44 | (1186) ~ (all_0_58_58 = e2) % 57.74/23.44 | % 57.74/23.44 | Simplifying 1186 yields: % 57.74/23.44 | (908) ~ (all_0_58_58 = e2) % 57.74/23.44 | % 57.74/23.44 | Equations (583) can reduce 1064 to: % 57.74/23.44 | (122) ~ (e2 = e1) % 57.74/23.44 | % 57.76/23.44 | Equations (583) can reduce 487 to: % 57.76/23.44 | (128) ~ (e2 = e0) % 57.76/23.44 | % 57.76/23.44 | From (583) and (129) follows: % 57.76/23.44 | (14996) op(e2, e2) = all_0_20_20 % 57.76/23.44 | % 57.76/23.44 +-Applying beta-rule and splitting (78), into two cases. % 57.76/23.44 |-Branch one: % 57.76/23.44 | (423) all_0_45_45 = e3 % 57.76/23.44 | % 57.76/23.44 | Combining equations (248,423) yields a new equation: % 57.76/23.44 | (424) e4 = e3 % 57.76/23.44 | % 57.76/23.44 | Simplifying 424 yields: % 57.76/23.44 | (425) e4 = e3 % 57.76/23.44 | % 57.76/23.44 | Equations (425) can reduce 188 to: % 57.76/23.44 | (266) $false % 57.76/23.44 | % 57.76/23.44 |-The branch is then unsatisfiable % 57.76/23.44 |-Branch two: % 57.76/23.44 | (427) ~ (all_0_45_45 = e3) % 57.76/23.44 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.76/23.44 | % 57.76/23.44 +-Applying beta-rule and splitting (428), into two cases. % 57.76/23.44 |-Branch one: % 57.76/23.44 | (1557) all_0_46_46 = e3 % 57.76/23.44 | % 57.76/23.44 | Equations (1557) can reduce 43 to: % 57.76/23.44 | (1898) ~ (all_0_41_41 = e3) % 57.76/23.44 | % 57.76/23.44 | Equations (1557) can reduce 35 to: % 57.76/23.44 | (410) ~ (all_0_50_50 = e3) % 57.76/23.44 | % 57.76/23.44 | Simplifying 410 yields: % 57.76/23.44 | (411) ~ (all_0_50_50 = e3) % 57.76/23.44 | % 57.76/23.44 | Equations (1557) can reduce 58 to: % 57.76/23.44 | (269) ~ (all_0_55_55 = e3) % 57.76/23.44 | % 57.76/23.44 | Simplifying 269 yields: % 57.76/23.44 | (270) ~ (all_0_55_55 = e3) % 57.76/23.44 | % 57.76/23.44 | From (1557) and (33) follows: % 57.76/23.44 | (3526) op(e3, e3) = all_0_16_16 % 57.76/23.44 | % 57.76/23.44 | From (1557) and (179) follows: % 57.76/23.44 | (3527) op(e3, e2) = all_0_15_15 % 57.76/23.44 | % 57.76/23.44 | From (1557) and (120) follows: % 57.76/23.44 | (697) op(e2, e3) = e3 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e3, e3, all_0_16_16, all_0_41_41 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_41_41, yields: % 57.76/23.44 | (15012) all_0_16_16 = all_0_41_41 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e3, e2, all_0_15_15, all_0_42_42 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_42_42, yields: % 57.76/23.44 | (3582) all_0_15_15 = all_0_42_42 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e2, e2, all_0_34_34, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = all_0_34_34, yields: % 57.76/23.44 | (5157) all_0_20_20 = all_0_34_34 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e2, e2, e1, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = e1, yields: % 57.76/23.44 | (4267) all_0_20_20 = e1 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e1, e3, all_0_9_9, all_0_50_50 and discharging atoms op(e1, e3) = all_0_9_9, op(e1, e3) = all_0_50_50, yields: % 57.76/23.44 | (6393) all_0_9_9 = all_0_50_50 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e1, e1, all_0_10_10, e2 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = e2, yields: % 57.76/23.44 | (15017) all_0_10_10 = e2 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e0, e2, e2, all_0_18_18 and discharging atoms op(e0, e2) = all_0_18_18, op(e0, e2) = e2, yields: % 57.76/23.44 | (15018) all_0_18_18 = e2 % 57.76/23.44 | % 57.76/23.44 | Instantiating formula (29) with e0, e1, e4, all_0_19_19 and discharging atoms op(e0, e1) = all_0_19_19, op(e0, e1) = e4, yields: % 57.76/23.44 | (15019) all_0_19_19 = e4 % 57.76/23.44 | % 57.76/23.44 | Combining equations (5157,4267) yields a new equation: % 57.76/23.45 | (15020) all_0_34_34 = e1 % 57.76/23.45 | % 57.76/23.45 | Simplifying 15020 yields: % 57.76/23.45 | (9480) all_0_34_34 = e1 % 57.76/23.45 | % 57.76/23.45 | From (15012) and (3526) follows: % 57.76/23.45 | (219) op(e3, e3) = all_0_41_41 % 57.76/23.45 | % 57.76/23.45 | From (3582) and (3527) follows: % 57.76/23.45 | (210) op(e3, e2) = all_0_42_42 % 57.76/23.45 | % 57.76/23.45 | From (9480) and (4151) follows: % 57.76/23.45 | (9478) op(e2, e2) = e1 % 57.76/23.45 | % 57.76/23.45 | From (6393) and (6385) follows: % 57.76/23.45 | (242) op(e1, e3) = all_0_50_50 % 57.76/23.45 | % 57.76/23.45 | From (15017) and (6386) follows: % 57.76/23.45 | (10182) op(e1, e1) = e2 % 57.76/23.45 | % 57.76/23.45 | From (15018) and (14936) follows: % 57.76/23.45 | (1508) op(e0, e2) = e2 % 57.76/23.45 | % 57.76/23.45 | From (15019) and (14937) follows: % 57.76/23.45 | (3109) op(e0, e1) = e4 % 57.76/23.45 | % 57.76/23.45 +-Applying beta-rule and splitting (113), into two cases. % 57.76/23.45 |-Branch one: % 57.76/23.45 | (403) all_0_41_41 = e3 % 57.76/23.45 | % 57.76/23.45 | Equations (403) can reduce 1898 to: % 57.76/23.45 | (266) $false % 57.76/23.45 | % 57.76/23.45 |-The branch is then unsatisfiable % 57.76/23.45 |-Branch two: % 57.76/23.45 | (1898) ~ (all_0_41_41 = e3) % 57.76/23.45 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 57.76/23.45 | % 57.76/23.45 +-Applying beta-rule and splitting (168), into two cases. % 57.76/23.45 |-Branch one: % 57.76/23.45 | (415) all_0_50_50 = e3 % 57.76/23.45 | % 57.76/23.45 | Equations (415) can reduce 411 to: % 57.76/23.45 | (266) $false % 57.76/23.45 | % 57.76/23.45 |-The branch is then unsatisfiable % 57.76/23.45 |-Branch two: % 57.76/23.45 | (411) ~ (all_0_50_50 = e3) % 57.76/23.45 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 57.76/23.45 | % 57.76/23.45 +-Applying beta-rule and splitting (216), into two cases. % 57.76/23.45 |-Branch one: % 57.76/23.45 | (629) all_0_55_55 = e1 % 57.76/23.45 | % 57.76/23.45 | Equations (629) can reduce 191 to: % 57.76/23.45 | (457) ~ (all_0_41_41 = e1) % 57.76/23.45 | % 57.76/23.45 | Equations (629) can reduce 93 to: % 57.76/23.45 | (759) ~ (all_0_50_50 = e1) % 57.76/23.45 | % 57.76/23.45 | Equations (629) can reduce 3 to: % 57.76/23.45 | (879) ~ (all_0_58_58 = e1) % 57.76/23.45 | % 57.76/23.45 | Simplifying 879 yields: % 57.76/23.45 | (880) ~ (all_0_58_58 = e1) % 57.76/23.45 | % 57.76/23.45 | Equations (629) can reduce 270 to: % 57.76/23.45 | (467) ~ (e3 = e1) % 57.76/23.45 | % 57.76/23.45 | Simplifying 467 yields: % 57.76/23.45 | (213) ~ (e3 = e1) % 57.76/23.45 | % 57.76/23.45 | Equations (629) can reduce 304 to: % 57.76/23.45 | (604) ~ (e2 = e1) % 57.76/23.45 | % 57.76/23.46 | Simplifying 604 yields: % 57.76/23.46 | (122) ~ (e2 = e1) % 57.76/23.46 | % 57.76/23.46 | From (629) and (187) follows: % 57.76/23.46 | (15046) op(e1, e3) = all_0_32_32 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (108), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (624) all_0_58_58 = e2 % 57.76/23.46 | % 57.76/23.46 | Equations (624) can reduce 908 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (908) ~ (all_0_58_58 = e2) % 57.76/23.46 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (112), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (635) all_0_44_44 = e1 % 57.76/23.46 | % 57.76/23.46 | Equations (635) can reduce 639 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (639) ~ (all_0_44_44 = e1) % 57.76/23.46 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (909), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (910) all_0_58_58 = e4 % 57.76/23.46 | % 57.76/23.46 | Equations (910) can reduce 451 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (451) ~ (all_0_58_58 = e4) % 57.76/23.46 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (640), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (671) all_0_49_49 = e1 % 57.76/23.46 | % 57.76/23.46 | Combining equations (583,671) yields a new equation: % 57.76/23.46 | (616) e2 = e1 % 57.76/23.46 | % 57.76/23.46 | Simplifying 616 yields: % 57.76/23.46 | (617) e2 = e1 % 57.76/23.46 | % 57.76/23.46 | Equations (617) can reduce 122 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (1064) ~ (all_0_49_49 = e1) % 57.76/23.46 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.76/23.46 | % 57.76/23.46 | Equations (583) can reduce 1064 to: % 57.76/23.46 | (122) ~ (e2 = e1) % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (913), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (914) all_0_58_58 = e0 % 57.76/23.46 | % 57.76/23.46 | Equations (914) can reduce 178 to: % 57.76/23.46 | (1401) ~ (all_0_40_40 = e0) % 57.76/23.46 | % 57.76/23.46 | Equations (914) can reduce 908 to: % 57.76/23.46 | (365) ~ (e2 = e0) % 57.76/23.46 | % 57.76/23.46 | Simplifying 365 yields: % 57.76/23.46 | (128) ~ (e2 = e0) % 57.76/23.46 | % 57.76/23.46 | Equations (914) can reduce 880 to: % 57.76/23.46 | (435) ~ (e1 = e0) % 57.76/23.46 | % 57.76/23.46 | Simplifying 435 yields: % 57.76/23.46 | (233) ~ (e1 = e0) % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (2141), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (1208) all_0_53_53 = e1 % 57.76/23.46 | % 57.76/23.46 | Equations (1208) can reduce 162 to: % 57.76/23.46 | (132) ~ (all_0_40_40 = e1) % 57.76/23.46 | % 57.76/23.46 | Equations (1208) can reduce 220 to: % 57.76/23.46 | (639) ~ (all_0_44_44 = e1) % 57.76/23.46 | % 57.76/23.46 | Equations (1208) can reduce 190 to: % 57.76/23.46 | (759) ~ (all_0_50_50 = e1) % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (418), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (660) all_0_51_51 = e3 % 57.76/23.46 | % 57.76/23.46 | Equations (660) can reduce 61 to: % 57.76/23.46 | (405) ~ (all_0_42_42 = e3) % 57.76/23.46 | % 57.76/23.46 | Equations (660) can reduce 59 to: % 57.76/23.46 | (411) ~ (all_0_50_50 = e3) % 57.76/23.46 | % 57.76/23.46 | From (660) and (177) follows: % 57.76/23.46 | (9464) op(e3, e2) = all_0_25_25 % 57.76/23.46 | % 57.76/23.46 | From (660) and (157) follows: % 57.76/23.46 | (1551) op(e3, e1) = all_0_24_24 % 57.76/23.46 | % 57.76/23.46 | From (660) and (186) follows: % 57.76/23.46 | (1552) op(e1, e2) = e3 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (1899), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (516) all_0_42_42 = e3 % 57.76/23.46 | % 57.76/23.46 | Equations (516) can reduce 405 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (405) ~ (all_0_42_42 = e3) % 57.76/23.46 | (532) all_0_44_44 = e3 % 57.76/23.46 | % 57.76/23.46 | Equations (532) can reduce 143 to: % 57.76/23.46 | (2) ~ (all_0_40_40 = e3) % 57.76/23.46 | % 57.76/23.46 | Equations (532) can reduce 149 to: % 57.76/23.46 | (1898) ~ (all_0_41_41 = e3) % 57.76/23.46 | % 57.76/23.46 | Equations (532) can reduce 639 to: % 57.76/23.46 | (213) ~ (e3 = e1) % 57.76/23.46 | % 57.76/23.46 | From (532) and (70) follows: % 57.76/23.46 | (1954) op(e3, e0) = all_0_12_12 % 57.76/23.46 | % 57.76/23.46 | From (532) and (138) follows: % 57.76/23.46 | (1639) op(e3, e0) = e3 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (150), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (1378) all_0_40_40 = e4 % 57.76/23.46 | % 57.76/23.46 | Equations (1378) can reduce 176 to: % 57.76/23.46 | (1377) ~ (all_0_39_39 = e4) % 57.76/23.46 | % 57.76/23.46 | Equations (1378) can reduce 2 to: % 57.76/23.46 | (188) ~ (e4 = e3) % 57.76/23.46 | % 57.76/23.46 | Equations (1378) can reduce 296 to: % 57.76/23.46 | (48) ~ (e4 = e2) % 57.76/23.46 | % 57.76/23.46 | Equations (1378) can reduce 132 to: % 57.76/23.46 | (110) ~ (e4 = e1) % 57.76/23.46 | % 57.76/23.46 | From (1378) and (34) follows: % 57.76/23.46 | (1455) op(e4, e4) = all_0_4_4 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (231), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (775) all_0_50_50 = e4 % 57.76/23.46 | % 57.76/23.46 | Equations (775) can reduce 221 to: % 57.76/23.46 | (440) ~ (all_0_41_41 = e4) % 57.76/23.46 | % 57.76/23.46 | Equations (775) can reduce 411 to: % 57.76/23.46 | (188) ~ (e4 = e3) % 57.76/23.46 | % 57.76/23.46 | Equations (775) can reduce 759 to: % 57.76/23.46 | (110) ~ (e4 = e1) % 57.76/23.46 | % 57.76/23.46 | From (775) and (242) follows: % 57.76/23.46 | (5059) op(e1, e3) = e4 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (27), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (437) all_0_41_41 = e4 % 57.76/23.46 | % 57.76/23.46 | Equations (437) can reduce 440 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (440) ~ (all_0_41_41 = e4) % 57.76/23.46 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (243), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (329) all_0_38_38 = e0 % 57.76/23.46 | % 57.76/23.46 | Combining equations (292,329) yields a new equation: % 57.76/23.46 | (391) e2 = e0 % 57.76/23.46 | % 57.76/23.46 | Simplifying 391 yields: % 57.76/23.46 | (330) e2 = e0 % 57.76/23.46 | % 57.76/23.46 | Equations (330) can reduce 128 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (332) ~ (all_0_38_38 = e0) % 57.76/23.46 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (320), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (471) all_0_39_39 = e4 % 57.76/23.46 | % 57.76/23.46 | Equations (471) can reduce 1377 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (1377) ~ (all_0_39_39 = e4) % 57.76/23.46 | (480) all_0_39_39 = e0 % 57.76/23.46 | % 57.76/23.46 | Equations (480) can reduce 1377 to: % 57.76/23.46 | (401) ~ (e4 = e0) % 57.76/23.46 | % 57.76/23.46 | Simplifying 401 yields: % 57.76/23.46 | (49) ~ (e4 = e0) % 57.76/23.46 | % 57.76/23.46 | From (480) and (182) follows: % 57.76/23.46 | (1412) op(e0, e4) = all_0_2_2 % 57.76/23.46 | % 57.76/23.46 | From (480) and (38) follows: % 57.76/23.46 | (1413) op(e0, e2) = all_0_3_3 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (164), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (471) all_0_39_39 = e4 % 57.76/23.46 | % 57.76/23.46 | Combining equations (480,471) yields a new equation: % 57.76/23.46 | (397) e4 = e0 % 57.76/23.46 | % 57.76/23.46 | Equations (397) can reduce 49 to: % 57.76/23.46 | (266) $false % 57.76/23.46 | % 57.76/23.46 |-The branch is then unsatisfiable % 57.76/23.46 |-Branch two: % 57.76/23.46 | (1377) ~ (all_0_39_39 = e4) % 57.76/23.46 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.76/23.46 | % 57.76/23.46 +-Applying beta-rule and splitting (395), into two cases. % 57.76/23.46 |-Branch one: % 57.76/23.46 | (794) all_0_41_41 = e0 % 57.76/23.46 | % 57.76/23.46 | Equations (794) can reduce 440 to: % 57.76/23.46 | (401) ~ (e4 = e0) % 57.76/23.46 | % 57.76/23.46 | Simplifying 401 yields: % 57.76/23.46 | (49) ~ (e4 = e0) % 57.76/23.46 | % 57.76/23.46 | Equations (794) can reduce 457 to: % 57.76/23.46 | (435) ~ (e1 = e0) % 57.76/23.47 | % 57.76/23.47 | Simplifying 435 yields: % 57.76/23.47 | (233) ~ (e1 = e0) % 57.76/23.47 | % 57.76/23.47 +-Applying beta-rule and splitting (64), into two cases. % 57.76/23.47 |-Branch one: % 57.76/23.47 | (437) all_0_41_41 = e4 % 57.76/23.47 | % 57.76/23.47 | Combining equations (794,437) yields a new equation: % 57.76/23.47 | (397) e4 = e0 % 57.76/23.47 | % 57.76/23.47 | Equations (397) can reduce 49 to: % 57.76/23.47 | (266) $false % 57.76/23.47 | % 57.76/23.47 |-The branch is then unsatisfiable % 57.76/23.47 |-Branch two: % 57.76/23.47 | (440) ~ (all_0_41_41 = e4) % 57.76/23.47 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 57.76/23.47 | % 57.76/23.47 +-Applying beta-rule and splitting (152), into two cases. % 57.76/23.47 |-Branch one: % 57.76/23.47 | (1392) all_0_42_42 = e4 % 57.76/23.47 | % 57.76/23.47 | From (1392) and (210) follows: % 57.76/23.47 | (4074) op(e3, e2) = e4 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 57.76/23.47 | (1587) all_0_4_4 = e1 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e3, e2, e4, all_0_25_25 and discharging atoms op(e3, e2) = all_0_25_25, op(e3, e2) = e4, yields: % 57.76/23.47 | (15138) all_0_25_25 = e4 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e3, e1, all_0_24_24, e1 and discharging atoms op(e3, e1) = all_0_24_24, op(e3, e1) = e1, yields: % 57.76/23.47 | (15139) all_0_24_24 = e1 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 57.76/23.47 | (2156) all_0_12_12 = e3 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e1, e3, e4, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = e4, yields: % 57.76/23.47 | (15141) all_0_32_32 = e4 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 57.76/23.47 | (1595) all_0_2_2 = e3 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e0, e2, all_0_3_3, e2 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 57.76/23.47 | (1597) all_0_3_3 = e2 % 57.76/23.47 | % 57.76/23.47 | From (1587) and (1455) follows: % 57.76/23.47 | (41) op(e4, e4) = e1 % 57.76/23.47 | % 57.76/23.47 | From (15138) and (9464) follows: % 57.76/23.47 | (4074) op(e3, e2) = e4 % 57.76/23.47 | % 57.76/23.47 | From (15139) and (1551) follows: % 57.76/23.47 | (13877) op(e3, e1) = e1 % 57.76/23.47 | % 57.76/23.47 | From (2156) and (1954) follows: % 57.76/23.47 | (1639) op(e3, e0) = e3 % 57.76/23.47 | % 57.76/23.47 | From (15141) and (15046) follows: % 57.76/23.47 | (5059) op(e1, e3) = e4 % 57.76/23.47 | % 57.76/23.47 | From (1595) and (1412) follows: % 57.76/23.47 | (283) op(e0, e4) = e3 % 57.76/23.47 | % 57.76/23.47 | From (1597) and (1413) follows: % 57.76/23.47 | (1508) op(e0, e2) = e2 % 57.76/23.47 | % 57.76/23.47 +-Applying beta-rule and splitting (56), into two cases. % 57.76/23.47 |-Branch one: % 57.76/23.47 | (696) unit = e2 % 57.76/23.47 | % 57.76/23.47 | From (696) and (32) follows: % 57.76/23.47 | (698) op(e2, e2) = e2 % 57.76/23.47 | % 57.76/23.47 | From (696) and (42) follows: % 57.76/23.47 | (1613) op(e0, e2) = e0 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.76/23.47 | (617) e2 = e1 % 57.76/23.47 | % 57.76/23.47 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.76/23.48 | (330) e2 = e0 % 57.76/23.48 | % 57.76/23.48 | Combining equations (617,330) yields a new equation: % 57.76/23.48 | (546) e1 = e0 % 57.76/23.48 | % 57.76/23.48 | Simplifying 546 yields: % 57.76/23.48 | (431) e1 = e0 % 57.76/23.48 | % 57.76/23.48 | Equations (431) can reduce 233 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (707) ~ (unit = e2) % 57.76/23.48 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (708), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (709) unit = e4 % 57.76/23.48 | % 57.76/23.48 | From (709) and (227) follows: % 57.76/23.48 | (710) op(e4, e4) = e4 % 57.76/23.48 | % 57.76/23.48 | From (709) and (40) follows: % 57.76/23.48 | (711) op(e3, e4) = e3 % 57.76/23.48 | % 57.76/23.48 | From (709) and (32) follows: % 57.76/23.48 | (712) op(e2, e4) = e2 % 57.76/23.48 | % 57.76/23.48 | From (709) and (42) follows: % 57.76/23.48 | (713) op(e0, e4) = e0 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.76/23.48 | (630) e4 = e1 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.76/23.48 | (662) e3 = e2 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.76/23.48 | (323) e4 = e2 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.76/23.48 | (676) e3 = e0 % 57.76/23.48 | % 57.76/23.48 | Combining equations (630,323) yields a new equation: % 57.76/23.48 | (617) e2 = e1 % 57.76/23.48 | % 57.76/23.48 | Combining equations (662,676) yields a new equation: % 57.76/23.48 | (391) e2 = e0 % 57.76/23.48 | % 57.76/23.48 | Simplifying 391 yields: % 57.76/23.48 | (330) e2 = e0 % 57.76/23.48 | % 57.76/23.48 | Combining equations (617,330) yields a new equation: % 57.76/23.48 | (546) e1 = e0 % 57.76/23.48 | % 57.76/23.48 | Simplifying 546 yields: % 57.76/23.48 | (431) e1 = e0 % 57.76/23.48 | % 57.76/23.48 | Equations (431) can reduce 233 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (724) ~ (unit = e4) % 57.76/23.48 | (725) unit = e3 | unit = e1 | unit = e0 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (725), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (726) unit = e0 % 57.76/23.48 | % 57.76/23.48 | From (726) and (244) follows: % 57.76/23.48 | (2207) op(e0, e4) = e4 % 57.76/23.48 | % 57.76/23.48 | From (726) and (211) follows: % 57.76/23.48 | (15180) op(e0, e1) = e1 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.76/23.48 | (425) e4 = e3 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 57.76/23.48 | (630) e4 = e1 % 57.76/23.48 | % 57.76/23.48 | Combining equations (425,630) yields a new equation: % 57.76/23.48 | (454) e3 = e1 % 57.76/23.48 | % 57.76/23.48 | Simplifying 454 yields: % 57.76/23.48 | (455) e3 = e1 % 57.76/23.48 | % 57.76/23.48 | Equations (455) can reduce 213 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (734) ~ (unit = e0) % 57.76/23.48 | (735) unit = e3 | unit = e1 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (735), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (736) unit = e1 % 57.76/23.48 | % 57.76/23.48 | Equations (736) can reduce 734 to: % 57.76/23.48 | (233) ~ (e1 = e0) % 57.76/23.48 | % 57.76/23.48 | From (736) and (15) follows: % 57.76/23.48 | (515) op(e1, e2) = e2 % 57.76/23.48 | % 57.76/23.48 | From (736) and (40) follows: % 57.76/23.48 | (1652) op(e3, e1) = e3 % 57.76/23.48 | % 57.76/23.48 | From (736) and (32) follows: % 57.76/23.48 | (347) op(e2, e1) = e2 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 57.76/23.48 | (455) e3 = e1 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 57.76/23.48 | (330) e2 = e0 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.76/23.48 | (662) e3 = e2 % 57.76/23.48 | % 57.76/23.48 | Combining equations (662,455) yields a new equation: % 57.76/23.48 | (616) e2 = e1 % 57.76/23.48 | % 57.76/23.48 | Simplifying 616 yields: % 57.76/23.48 | (617) e2 = e1 % 57.76/23.48 | % 57.76/23.48 | Combining equations (330,617) yields a new equation: % 57.76/23.48 | (431) e1 = e0 % 57.76/23.48 | % 57.76/23.48 | Equations (431) can reduce 233 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (748) ~ (unit = e1) % 57.76/23.48 | (749) unit = e3 % 57.76/23.48 | % 57.76/23.48 | From (749) and (15) follows: % 57.76/23.48 | (751) op(e3, e2) = e2 % 57.76/23.48 | % 57.76/23.48 | From (749) and (209) follows: % 57.76/23.48 | (1667) op(e3, e0) = e0 % 57.76/23.48 | % 57.76/23.48 | From (749) and (32) follows: % 57.76/23.48 | (5793) op(e2, e3) = e2 % 57.76/23.48 | % 57.76/23.48 | From (749) and (28) follows: % 57.76/23.48 | (2235) op(e1, e3) = e1 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 57.76/23.48 | (323) e4 = e2 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.76/23.48 | (676) e3 = e0 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 57.76/23.48 | (662) e3 = e2 % 57.76/23.48 | % 57.76/23.48 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 57.76/23.48 | (630) e4 = e1 % 57.76/23.48 | % 57.76/23.48 | Combining equations (630,323) yields a new equation: % 57.76/23.48 | (617) e2 = e1 % 57.76/23.48 | % 57.76/23.48 | Combining equations (676,662) yields a new equation: % 57.76/23.48 | (330) e2 = e0 % 57.76/23.48 | % 57.76/23.48 | Combining equations (330,617) yields a new equation: % 57.76/23.48 | (431) e1 = e0 % 57.76/23.48 | % 57.76/23.48 | Equations (431) can reduce 233 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (1890) ~ (all_0_42_42 = e4) % 57.76/23.48 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (2115), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (1392) all_0_42_42 = e4 % 57.76/23.48 | % 57.76/23.48 | Equations (1392) can reduce 1890 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (1890) ~ (all_0_42_42 = e4) % 57.76/23.48 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (441), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (1392) all_0_42_42 = e4 % 57.76/23.48 | % 57.76/23.48 | Equations (1392) can reduce 1890 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (1890) ~ (all_0_42_42 = e4) % 57.76/23.48 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (1891), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (396) all_0_43_43 = e4 % 57.76/23.48 | % 57.76/23.48 | Combining equations (396,430) yields a new equation: % 57.76/23.48 | (636) e4 = e1 % 57.76/23.48 | % 57.76/23.48 | Simplifying 636 yields: % 57.76/23.48 | (630) e4 = e1 % 57.76/23.48 | % 57.76/23.48 | Equations (630) can reduce 110 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (399) ~ (all_0_43_43 = e4) % 57.76/23.48 | (446) all_0_44_44 = e4 % 57.76/23.48 | % 57.76/23.48 | Combining equations (532,446) yields a new equation: % 57.76/23.48 | (425) e4 = e3 % 57.76/23.48 | % 57.76/23.48 | Equations (425) can reduce 188 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (357) ~ (all_0_41_41 = e0) % 57.76/23.48 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (165), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (794) all_0_41_41 = e0 % 57.76/23.48 | % 57.76/23.48 | Equations (794) can reduce 357 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (357) ~ (all_0_41_41 = e0) % 57.76/23.48 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (4049), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (794) all_0_41_41 = e0 % 57.76/23.48 | % 57.76/23.48 | Equations (794) can reduce 357 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (357) ~ (all_0_41_41 = e0) % 57.76/23.48 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.76/23.48 | % 57.76/23.48 +-Applying beta-rule and splitting (4053), into two cases. % 57.76/23.48 |-Branch one: % 57.76/23.48 | (453) all_0_41_41 = e1 % 57.76/23.48 | % 57.76/23.48 | Equations (453) can reduce 457 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.48 |-Branch two: % 57.76/23.48 | (457) ~ (all_0_41_41 = e1) % 57.76/23.48 | (403) all_0_41_41 = e3 % 57.76/23.48 | % 57.76/23.48 | Equations (403) can reduce 1898 to: % 57.76/23.48 | (266) $false % 57.76/23.48 | % 57.76/23.48 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (566) ~ (all_0_50_50 = e4) % 57.76/23.49 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (1071), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (1101) all_0_51_51 = e4 % 57.76/23.49 | % 57.76/23.49 | Combining equations (660,1101) yields a new equation: % 57.76/23.49 | (425) e4 = e3 % 57.76/23.49 | % 57.76/23.49 | Equations (425) can reduce 188 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (475) ~ (all_0_51_51 = e4) % 57.76/23.49 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (62), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (321) all_0_38_38 = e4 % 57.76/23.49 | % 57.76/23.49 | Combining equations (292,321) yields a new equation: % 57.76/23.49 | (323) e4 = e2 % 57.76/23.49 | % 57.76/23.49 | Equations (323) can reduce 48 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (325) ~ (all_0_38_38 = e4) % 57.76/23.49 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.76/23.49 | % 57.76/23.49 | Equations (292) can reduce 325 to: % 57.76/23.49 | (327) ~ (e4 = e2) % 57.76/23.49 | % 57.76/23.49 | Simplifying 327 yields: % 57.76/23.49 | (48) ~ (e4 = e2) % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (1294), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (565) all_0_52_52 = e4 % 57.76/23.49 | % 57.76/23.49 | Combining equations (352,565) yields a new equation: % 57.76/23.49 | (323) e4 = e2 % 57.76/23.49 | % 57.76/23.49 | Equations (323) can reduce 48 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (780) ~ (all_0_52_52 = e4) % 57.76/23.49 | (1298) all_0_53_53 = e4 % 57.76/23.49 | % 57.76/23.49 | Combining equations (1298,1208) yields a new equation: % 57.76/23.49 | (636) e4 = e1 % 57.76/23.49 | % 57.76/23.49 | Simplifying 636 yields: % 57.76/23.49 | (630) e4 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (630) can reduce 110 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (447) ~ (all_0_40_40 = e4) % 57.76/23.49 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (316), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (1378) all_0_40_40 = e4 % 57.76/23.49 | % 57.76/23.49 | Equations (1378) can reduce 447 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (447) ~ (all_0_40_40 = e4) % 57.76/23.49 | (485) all_0_40_40 = e0 % 57.76/23.49 | % 57.76/23.49 | Equations (485) can reduce 1401 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (664) ~ (all_0_51_51 = e3) % 57.76/23.49 | (665) all_0_53_53 = e3 % 57.76/23.49 | % 57.76/23.49 | Combining equations (665,1208) yields a new equation: % 57.76/23.49 | (454) e3 = e1 % 57.76/23.49 | % 57.76/23.49 | Simplifying 454 yields: % 57.76/23.49 | (455) e3 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (455) can reduce 213 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (1459) ~ (all_0_53_53 = e1) % 57.76/23.49 | (918) all_0_58_58 = e1 % 57.76/23.49 | % 57.76/23.49 | Combining equations (914,918) yields a new equation: % 57.76/23.49 | (431) e1 = e0 % 57.76/23.49 | % 57.76/23.49 | Equations (431) can reduce 233 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (491) ~ (all_0_58_58 = e0) % 57.76/23.49 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (160), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (601) all_0_50_50 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (601) can reduce 759 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (759) ~ (all_0_50_50 = e1) % 57.76/23.49 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (1168), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (1109) all_0_51_51 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (1109) can reduce 464 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (464) ~ (all_0_51_51 = e1) % 57.76/23.49 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (1202), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (642) all_0_52_52 = e1 % 57.76/23.49 | % 57.76/23.49 | Combining equations (352,642) yields a new equation: % 57.76/23.49 | (616) e2 = e1 % 57.76/23.49 | % 57.76/23.49 | Simplifying 616 yields: % 57.76/23.49 | (617) e2 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (617) can reduce 122 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (646) ~ (all_0_52_52 = e1) % 57.76/23.49 | (1208) all_0_53_53 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (1208) can reduce 10 to: % 57.76/23.49 | (879) ~ (all_0_58_58 = e1) % 57.76/23.49 | % 57.76/23.49 | Simplifying 879 yields: % 57.76/23.49 | (880) ~ (all_0_58_58 = e1) % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (418), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (660) all_0_51_51 = e3 % 57.76/23.49 | % 57.76/23.49 | Equations (660) can reduce 61 to: % 57.76/23.49 | (405) ~ (all_0_42_42 = e3) % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (189), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (532) all_0_44_44 = e3 % 57.76/23.49 | % 57.76/23.49 | Equations (532) can reduce 181 to: % 57.76/23.49 | (275) ~ (all_0_58_58 = e3) % 57.76/23.49 | % 57.76/23.49 | Simplifying 275 yields: % 57.76/23.49 | (276) ~ (all_0_58_58 = e3) % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (917), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (918) all_0_58_58 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (918) can reduce 880 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (880) ~ (all_0_58_58 = e1) % 57.76/23.49 | (795) all_0_58_58 = e3 % 57.76/23.49 | % 57.76/23.49 | Equations (795) can reduce 276 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (407) ~ (all_0_44_44 = e3) % 57.76/23.49 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (1899), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (516) all_0_42_42 = e3 % 57.76/23.49 | % 57.76/23.49 | Equations (516) can reduce 405 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (405) ~ (all_0_42_42 = e3) % 57.76/23.49 | (532) all_0_44_44 = e3 % 57.76/23.49 | % 57.76/23.49 | Equations (532) can reduce 407 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (664) ~ (all_0_51_51 = e3) % 57.76/23.49 | (665) all_0_53_53 = e3 % 57.76/23.49 | % 57.76/23.49 | Combining equations (665,1208) yields a new equation: % 57.76/23.49 | (454) e3 = e1 % 57.76/23.49 | % 57.76/23.49 | Simplifying 454 yields: % 57.76/23.49 | (455) e3 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (455) can reduce 213 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (632) ~ (all_0_55_55 = e1) % 57.76/23.49 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (633), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (1569) all_0_56_56 = e1 % 57.76/23.49 | % 57.76/23.49 | Combining equations (833,1569) yields a new equation: % 57.76/23.49 | (616) e2 = e1 % 57.76/23.49 | % 57.76/23.49 | Simplifying 616 yields: % 57.76/23.49 | (617) e2 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (617) can reduce 122 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (466) ~ (all_0_56_56 = e1) % 57.76/23.49 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (1574), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (647) all_0_57_57 = e1 % 57.76/23.49 | % 57.76/23.49 | Combining equations (647,871) yields a new equation: % 57.76/23.49 | (630) e4 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (630) can reduce 110 to: % 57.76/23.49 | (266) $false % 57.76/23.49 | % 57.76/23.49 |-The branch is then unsatisfiable % 57.76/23.49 |-Branch two: % 57.76/23.49 | (1670) ~ (all_0_57_57 = e1) % 57.76/23.49 | (918) all_0_58_58 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (918) can reduce 178 to: % 57.76/23.49 | (132) ~ (all_0_40_40 = e1) % 57.76/23.49 | % 57.76/23.49 | Equations (918) can reduce 181 to: % 57.76/23.49 | (639) ~ (all_0_44_44 = e1) % 57.76/23.49 | % 57.76/23.49 | Equations (918) can reduce 10 to: % 57.76/23.49 | (1459) ~ (all_0_53_53 = e1) % 57.76/23.49 | % 57.76/23.49 | Equations (918) can reduce 908 to: % 57.76/23.49 | (604) ~ (e2 = e1) % 57.76/23.49 | % 57.76/23.49 | Simplifying 604 yields: % 57.76/23.49 | (122) ~ (e2 = e1) % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (125), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (858) all_0_55_55 = e0 % 57.76/23.49 | % 57.76/23.49 | Equations (858) can reduce 191 to: % 57.76/23.49 | (357) ~ (all_0_41_41 = e0) % 57.76/23.49 | % 57.76/23.49 | From (858) and (187) follows: % 57.76/23.49 | (2064) op(e0, e3) = all_0_32_32 % 57.76/23.49 | % 57.76/23.49 | From (858) and (74) follows: % 57.76/23.49 | (752) op(e0, e3) = e0 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (160), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (601) all_0_50_50 = e1 % 57.76/23.49 | % 57.76/23.49 | Equations (601) can reduce 221 to: % 57.76/23.49 | (457) ~ (all_0_41_41 = e1) % 57.76/23.49 | % 57.76/23.49 | Equations (601) can reduce 59 to: % 57.76/23.49 | (463) ~ (all_0_51_51 = e1) % 57.76/23.49 | % 57.76/23.49 | Simplifying 463 yields: % 57.76/23.49 | (464) ~ (all_0_51_51 = e1) % 57.76/23.49 | % 57.76/23.49 | From (601) and (8) follows: % 57.76/23.49 | (15351) op(e1, e3) = all_0_23_23 % 57.76/23.49 | % 57.76/23.49 | From (601) and (57) follows: % 57.76/23.49 | (606) op(e1, e1) = all_0_22_22 % 57.76/23.49 | % 57.76/23.49 | From (601) and (242) follows: % 57.76/23.49 | (2235) op(e1, e3) = e1 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (27), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (437) all_0_41_41 = e4 % 57.76/23.49 | % 57.76/23.49 | Equations (437) can reduce 214 to: % 57.76/23.49 | (1901) ~ (all_0_42_42 = e4) % 57.76/23.49 | % 57.76/23.49 | Simplifying 1901 yields: % 57.76/23.49 | (1890) ~ (all_0_42_42 = e4) % 57.76/23.49 | % 57.76/23.49 | Equations (437) can reduce 149 to: % 57.76/23.49 | (1903) ~ (all_0_44_44 = e4) % 57.76/23.49 | % 57.76/23.49 | Simplifying 1903 yields: % 57.76/23.49 | (1390) ~ (all_0_44_44 = e4) % 57.76/23.49 | % 57.76/23.49 | Equations (437) can reduce 357 to: % 57.76/23.49 | (49) ~ (e4 = e0) % 57.76/23.49 | % 57.76/23.49 | From (437) and (219) follows: % 57.76/23.49 | (1913) op(e3, e3) = e4 % 57.76/23.49 | % 57.76/23.49 | Instantiating formula (29) with e1, e3, e1, all_0_23_23 and discharging atoms op(e1, e3) = all_0_23_23, op(e1, e3) = e1, yields: % 57.76/23.49 | (9657) all_0_23_23 = e1 % 57.76/23.49 | % 57.76/23.49 | Instantiating formula (29) with e1, e1, all_0_22_22, e2 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e2, yields: % 57.76/23.49 | (15362) all_0_22_22 = e2 % 57.76/23.49 | % 57.76/23.49 | Instantiating formula (29) with e0, e3, e0, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = e0, yields: % 57.76/23.49 | (2163) all_0_32_32 = e0 % 57.76/23.49 | % 57.76/23.49 | From (9657) and (15351) follows: % 57.76/23.49 | (2235) op(e1, e3) = e1 % 57.76/23.49 | % 57.76/23.49 | From (15362) and (606) follows: % 57.76/23.49 | (10182) op(e1, e1) = e2 % 57.76/23.49 | % 57.76/23.49 | From (2163) and (2064) follows: % 57.76/23.49 | (752) op(e0, e3) = e0 % 57.76/23.49 | % 57.76/23.49 +-Applying beta-rule and splitting (104), into two cases. % 57.76/23.49 |-Branch one: % 57.76/23.49 | (480) all_0_39_39 = e0 % 57.76/23.49 | % 57.76/23.49 | Equations (480) can reduce 176 to: % 57.76/23.49 | (1400) ~ (all_0_40_40 = e0) % 57.76/23.49 | % 57.76/23.49 | Simplifying 1400 yields: % 57.76/23.49 | (1401) ~ (all_0_40_40 = e0) % 57.76/23.49 | % 57.76/23.49 | Equations (480) can reduce 145 to: % 57.76/23.49 | (5565) ~ (all_0_42_42 = e0) % 57.76/23.49 | % 57.76/23.49 | Simplifying 5565 yields: % 57.76/23.49 | (358) ~ (all_0_42_42 = e0) % 57.76/23.49 | % 57.76/23.50 | Equations (480) can reduce 246 to: % 57.76/23.50 | (541) ~ (e3 = e0) % 57.76/23.50 | % 57.76/23.50 | Simplifying 541 yields: % 57.76/23.50 | (80) ~ (e3 = e0) % 57.76/23.50 | % 57.76/23.50 | Equations (480) can reduce 151 to: % 57.76/23.50 | (435) ~ (e1 = e0) % 57.76/23.50 | % 57.76/23.50 | Simplifying 435 yields: % 57.76/23.50 | (233) ~ (e1 = e0) % 57.76/23.50 | % 57.76/23.50 | From (480) and (182) follows: % 57.76/23.50 | (1412) op(e0, e4) = all_0_2_2 % 57.76/23.50 | % 57.76/23.50 | From (480) and (38) follows: % 57.76/23.50 | (1413) op(e0, e2) = all_0_3_3 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (165), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (794) all_0_41_41 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (437,794) yields a new equation: % 57.76/23.50 | (481) e4 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 481 yields: % 57.76/23.50 | (397) e4 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (397) can reduce 49 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (357) ~ (all_0_41_41 = e0) % 57.76/23.50 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (316), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (1378) all_0_40_40 = e4 % 57.76/23.50 | % 57.76/23.50 | Equations (1378) can reduce 132 to: % 57.76/23.50 | (110) ~ (e4 = e1) % 57.76/23.50 | % 57.76/23.50 | Equations (1378) can reduce 1401 to: % 57.76/23.50 | (49) ~ (e4 = e0) % 57.76/23.50 | % 57.76/23.50 | From (1378) and (34) follows: % 57.76/23.50 | (1455) op(e4, e4) = all_0_4_4 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (152), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (1392) all_0_42_42 = e4 % 57.76/23.50 | % 57.76/23.50 | Equations (1392) can reduce 1890 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (1890) ~ (all_0_42_42 = e4) % 57.76/23.50 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (164), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (471) all_0_39_39 = e4 % 57.76/23.50 | % 57.76/23.50 | Combining equations (480,471) yields a new equation: % 57.76/23.50 | (397) e4 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (397) can reduce 49 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (1377) ~ (all_0_39_39 = e4) % 57.76/23.50 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.76/23.50 | % 57.76/23.50 | Equations (480) can reduce 1377 to: % 57.76/23.50 | (401) ~ (e4 = e0) % 57.76/23.50 | % 57.76/23.50 | Simplifying 401 yields: % 57.76/23.50 | (49) ~ (e4 = e0) % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (6761), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (559) all_0_42_42 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (559) can reduce 358 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (358) ~ (all_0_42_42 = e0) % 57.76/23.50 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (231), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (775) all_0_50_50 = e4 % 57.76/23.50 | % 57.76/23.50 | Combining equations (775,601) yields a new equation: % 57.76/23.50 | (636) e4 = e1 % 57.76/23.50 | % 57.76/23.50 | Simplifying 636 yields: % 57.76/23.50 | (630) e4 = e1 % 57.76/23.50 | % 57.76/23.50 | Equations (630) can reduce 110 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (566) ~ (all_0_50_50 = e4) % 57.76/23.50 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (1969), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (559) all_0_42_42 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (559) can reduce 358 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (358) ~ (all_0_42_42 = e0) % 57.76/23.50 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (75), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (485) all_0_40_40 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (1378,485) yields a new equation: % 57.76/23.50 | (481) e4 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 481 yields: % 57.76/23.50 | (397) e4 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (397) can reduce 49 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (1401) ~ (all_0_40_40 = e0) % 57.76/23.50 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (1071), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (1101) all_0_51_51 = e4 % 57.76/23.50 | % 57.76/23.50 | From (1101) and (186) follows: % 57.76/23.50 | (13720) op(e1, e2) = e4 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (180), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (516) all_0_42_42 = e3 % 57.76/23.50 | % 57.76/23.50 | From (516) and (226) follows: % 57.76/23.50 | (5629) op(e3, e3) = all_0_7_7 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (6766), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (356) all_0_43_43 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (430,356) yields a new equation: % 57.76/23.50 | (546) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 546 yields: % 57.76/23.50 | (431) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (431) can reduce 233 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (5470) ~ (all_0_43_43 = e0) % 57.76/23.50 | (1414) all_0_44_44 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (1414) can reduce 639 to: % 57.76/23.50 | (435) ~ (e1 = e0) % 57.76/23.50 | % 57.76/23.50 | Simplifying 435 yields: % 57.76/23.50 | (233) ~ (e1 = e0) % 57.76/23.50 | % 57.76/23.50 | From (1414) and (204) follows: % 57.76/23.50 | (9785) op(e0, e3) = all_0_11_11 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 57.76/23.50 | (1587) all_0_4_4 = e1 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields: % 57.76/23.50 | (15433) all_0_7_7 = e4 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 57.76/23.50 | (1595) all_0_2_2 = e3 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e3, all_0_11_11, e0 and discharging atoms op(e0, e3) = all_0_11_11, op(e0, e3) = e0, yields: % 57.76/23.50 | (15435) all_0_11_11 = e0 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e2, all_0_3_3, e2 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e2, yields: % 57.76/23.50 | (1597) all_0_3_3 = e2 % 57.76/23.50 | % 57.76/23.50 | From (1587) and (1455) follows: % 57.76/23.50 | (41) op(e4, e4) = e1 % 57.76/23.50 | % 57.76/23.50 | From (15433) and (5629) follows: % 57.76/23.50 | (1913) op(e3, e3) = e4 % 57.76/23.50 | % 57.76/23.50 | From (1595) and (1412) follows: % 57.76/23.50 | (283) op(e0, e4) = e3 % 57.76/23.50 | % 57.76/23.50 | From (15435) and (9785) follows: % 57.76/23.50 | (752) op(e0, e3) = e0 % 57.76/23.50 | % 57.76/23.50 | From (1597) and (1413) follows: % 57.76/23.50 | (1508) op(e0, e2) = e2 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (56), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (696) unit = e2 % 57.76/23.50 | % 57.76/23.50 | From (696) and (32) follows: % 57.76/23.50 | (698) op(e2, e2) = e2 % 57.76/23.50 | % 57.76/23.50 | From (696) and (42) follows: % 57.76/23.50 | (1613) op(e0, e2) = e0 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.76/23.50 | (617) e2 = e1 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.76/23.50 | (330) e2 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (330,617) yields a new equation: % 57.76/23.50 | (431) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (431) can reduce 233 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (707) ~ (unit = e2) % 57.76/23.50 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (708), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (709) unit = e4 % 57.76/23.50 | % 57.76/23.50 | From (709) and (227) follows: % 57.76/23.50 | (710) op(e4, e4) = e4 % 57.76/23.50 | % 57.76/23.50 | From (709) and (40) follows: % 57.76/23.50 | (711) op(e3, e4) = e3 % 57.76/23.50 | % 57.76/23.50 | From (709) and (32) follows: % 57.76/23.50 | (712) op(e2, e4) = e2 % 57.76/23.50 | % 57.76/23.50 | From (709) and (42) follows: % 57.76/23.50 | (713) op(e0, e4) = e0 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.76/23.50 | (630) e4 = e1 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.76/23.50 | (662) e3 = e2 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.76/23.50 | (323) e4 = e2 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.76/23.50 | (676) e3 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (630,323) yields a new equation: % 57.76/23.50 | (617) e2 = e1 % 57.76/23.50 | % 57.76/23.50 | Combining equations (662,676) yields a new equation: % 57.76/23.50 | (391) e2 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 391 yields: % 57.76/23.50 | (330) e2 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (617,330) yields a new equation: % 57.76/23.50 | (546) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 546 yields: % 57.76/23.50 | (431) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (431) can reduce 233 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (724) ~ (unit = e4) % 57.76/23.50 | (725) unit = e3 | unit = e1 | unit = e0 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (725), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (726) unit = e0 % 57.76/23.50 | % 57.76/23.50 | From (726) and (244) follows: % 57.76/23.50 | (2207) op(e0, e4) = e4 % 57.76/23.50 | % 57.76/23.50 | From (726) and (24) follows: % 57.76/23.50 | (2208) op(e0, e3) = e3 % 57.76/23.50 | % 57.76/23.50 | From (726) and (211) follows: % 57.76/23.50 | (15180) op(e0, e1) = e1 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.76/23.50 | (425) e4 = e3 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 57.76/23.50 | (676) e3 = e0 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 57.76/23.50 | (630) e4 = e1 % 57.76/23.50 | % 57.76/23.50 | Combining equations (425,630) yields a new equation: % 57.76/23.50 | (454) e3 = e1 % 57.76/23.50 | % 57.76/23.50 | Simplifying 454 yields: % 57.76/23.50 | (455) e3 = e1 % 57.76/23.50 | % 57.76/23.50 | Combining equations (676,455) yields a new equation: % 57.76/23.50 | (431) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (431) can reduce 233 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (734) ~ (unit = e0) % 57.76/23.50 | (735) unit = e3 | unit = e1 % 57.76/23.50 | % 57.76/23.50 +-Applying beta-rule and splitting (735), into two cases. % 57.76/23.50 |-Branch one: % 57.76/23.50 | (736) unit = e1 % 57.76/23.50 | % 57.76/23.50 | Equations (736) can reduce 734 to: % 57.76/23.50 | (233) ~ (e1 = e0) % 57.76/23.50 | % 57.76/23.50 | From (736) and (15) follows: % 57.76/23.50 | (515) op(e1, e2) = e2 % 57.76/23.50 | % 57.76/23.50 | From (736) and (28) follows: % 57.76/23.50 | (740) op(e1, e1) = e1 % 57.76/23.50 | % 57.76/23.50 | From (736) and (42) follows: % 57.76/23.50 | (3221) op(e0, e1) = e0 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 57.76/23.50 | (323) e4 = e2 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 57.76/23.50 | (617) e2 = e1 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 57.76/23.50 | (397) e4 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (323,397) yields a new equation: % 57.76/23.50 | (391) e2 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 391 yields: % 57.76/23.50 | (330) e2 = e0 % 57.76/23.50 | % 57.76/23.50 | Combining equations (617,330) yields a new equation: % 57.76/23.50 | (546) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Simplifying 546 yields: % 57.76/23.50 | (431) e1 = e0 % 57.76/23.50 | % 57.76/23.50 | Equations (431) can reduce 233 to: % 57.76/23.50 | (266) $false % 57.76/23.50 | % 57.76/23.50 |-The branch is then unsatisfiable % 57.76/23.50 |-Branch two: % 57.76/23.50 | (748) ~ (unit = e1) % 57.76/23.50 | (749) unit = e3 % 57.76/23.50 | % 57.76/23.50 | Equations (749) can reduce 707 to: % 57.76/23.50 | (212) ~ (e3 = e2) % 57.76/23.50 | % 57.76/23.50 | From (749) and (244) follows: % 57.76/23.50 | (750) op(e3, e4) = e4 % 57.76/23.50 | % 57.76/23.50 | From (749) and (40) follows: % 57.76/23.50 | (3715) op(e3, e3) = e3 % 57.76/23.50 | % 57.76/23.50 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.76/23.51 | (323) e4 = e2 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.76/23.51 | (425) e4 = e3 % 57.76/23.51 | % 57.76/23.51 | Combining equations (323,425) yields a new equation: % 57.76/23.51 | (662) e3 = e2 % 57.76/23.51 | % 57.76/23.51 | Equations (662) can reduce 212 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (405) ~ (all_0_42_42 = e3) % 57.76/23.51 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (1899), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (516) all_0_42_42 = e3 % 57.76/23.51 | % 57.76/23.51 | Equations (516) can reduce 405 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (405) ~ (all_0_42_42 = e3) % 57.76/23.51 | (532) all_0_44_44 = e3 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (1748), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (1414) all_0_44_44 = e0 % 57.76/23.51 | % 57.76/23.51 | Combining equations (532,1414) yields a new equation: % 57.76/23.51 | (675) e3 = e0 % 57.76/23.51 | % 57.76/23.51 | Simplifying 675 yields: % 57.76/23.51 | (676) e3 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (676) can reduce 80 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (360) ~ (all_0_44_44 = e0) % 57.76/23.51 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (532) can reduce 360 to: % 57.76/23.51 | (80) ~ (e3 = e0) % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (6766), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (356) all_0_43_43 = e0 % 57.76/23.51 | % 57.76/23.51 | Combining equations (430,356) yields a new equation: % 57.76/23.51 | (546) e1 = e0 % 57.76/23.51 | % 57.76/23.51 | Simplifying 546 yields: % 57.76/23.51 | (431) e1 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (431) can reduce 233 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (5470) ~ (all_0_43_43 = e0) % 57.76/23.51 | (1414) all_0_44_44 = e0 % 57.76/23.51 | % 57.76/23.51 | Combining equations (532,1414) yields a new equation: % 57.76/23.51 | (675) e3 = e0 % 57.76/23.51 | % 57.76/23.51 | Simplifying 675 yields: % 57.76/23.51 | (676) e3 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (676) can reduce 80 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (475) ~ (all_0_51_51 = e4) % 57.76/23.51 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (7), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (504) all_0_51_51 = e2 % 57.76/23.51 | % 57.76/23.51 | Equations (504) can reduce 1099 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (1099) ~ (all_0_51_51 = e2) % 57.76/23.51 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (1100), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (1101) all_0_51_51 = e4 % 57.76/23.51 | % 57.76/23.51 | Equations (1101) can reduce 475 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (475) ~ (all_0_51_51 = e4) % 57.76/23.51 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (1104), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (1109) all_0_51_51 = e1 % 57.76/23.51 | % 57.76/23.51 | Equations (1109) can reduce 464 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (464) ~ (all_0_51_51 = e1) % 57.76/23.51 | (660) all_0_51_51 = e3 % 57.76/23.51 | % 57.76/23.51 | Equations (660) can reduce 61 to: % 57.76/23.51 | (405) ~ (all_0_42_42 = e3) % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (2510), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (459) all_0_42_42 = e1 % 57.76/23.51 | % 57.76/23.51 | Equations (459) can reduce 1380 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (1380) ~ (all_0_42_42 = e1) % 57.76/23.51 | (516) all_0_42_42 = e3 % 57.76/23.51 | % 57.76/23.51 | Equations (516) can reduce 405 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (447) ~ (all_0_40_40 = e4) % 57.76/23.51 | (485) all_0_40_40 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (485) can reduce 1401 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (484) ~ (all_0_39_39 = e0) % 57.76/23.51 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (333), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (480) all_0_39_39 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (480) can reduce 484 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (484) ~ (all_0_39_39 = e0) % 57.76/23.51 | (485) all_0_40_40 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (485) can reduce 296 to: % 57.76/23.51 | (365) ~ (e2 = e0) % 57.76/23.51 | % 57.76/23.51 | Simplifying 365 yields: % 57.76/23.51 | (128) ~ (e2 = e0) % 57.76/23.51 | % 57.76/23.51 | Equations (485) can reduce 132 to: % 57.76/23.51 | (435) ~ (e1 = e0) % 57.76/23.51 | % 57.76/23.51 | Simplifying 435 yields: % 57.76/23.51 | (233) ~ (e1 = e0) % 57.76/23.51 | % 57.76/23.51 | From (485) and (34) follows: % 57.76/23.51 | (494) op(e0, e4) = all_0_4_4 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (26), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (446) all_0_44_44 = e4 % 57.76/23.51 | % 57.76/23.51 | Equations (446) can reduce 1390 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (1390) ~ (all_0_44_44 = e4) % 57.76/23.51 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (165), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (794) all_0_41_41 = e0 % 57.76/23.51 | % 57.76/23.51 | Combining equations (437,794) yields a new equation: % 57.76/23.51 | (481) e4 = e0 % 57.76/23.51 | % 57.76/23.51 | Simplifying 481 yields: % 57.76/23.51 | (397) e4 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (397) can reduce 49 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (357) ~ (all_0_41_41 = e0) % 57.76/23.51 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (437) can reduce 357 to: % 57.76/23.51 | (49) ~ (e4 = e0) % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (326), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (471) all_0_39_39 = e4 % 57.76/23.51 | % 57.76/23.51 | From (471) and (182) follows: % 57.76/23.51 | (479) op(e4, e4) = all_0_2_2 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (558), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (559) all_0_42_42 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (559) can reduce 73 to: % 57.76/23.51 | (359) ~ (all_0_44_44 = e0) % 57.76/23.51 | % 57.76/23.51 | Simplifying 359 yields: % 57.76/23.51 | (360) ~ (all_0_44_44 = e0) % 57.76/23.51 | % 57.76/23.51 | Equations (559) can reduce 51 to: % 57.76/23.51 | (365) ~ (e2 = e0) % 57.76/23.51 | % 57.76/23.51 | Simplifying 365 yields: % 57.76/23.51 | (128) ~ (e2 = e0) % 57.76/23.51 | % 57.76/23.51 | Equations (559) can reduce 1380 to: % 57.76/23.51 | (435) ~ (e1 = e0) % 57.76/23.51 | % 57.76/23.51 | Simplifying 435 yields: % 57.76/23.51 | (233) ~ (e1 = e0) % 57.76/23.51 | % 57.76/23.51 | From (559) and (226) follows: % 57.76/23.51 | (15579) op(e0, e3) = all_0_7_7 % 57.76/23.51 | % 57.76/23.51 | From (559) and (225) follows: % 57.76/23.51 | (15580) op(e0, e2) = all_0_8_8 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (1391), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (1414) all_0_44_44 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (1414) can reduce 360 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (360) ~ (all_0_44_44 = e0) % 57.76/23.51 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (1417), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (635) all_0_44_44 = e1 % 57.76/23.51 | % 57.76/23.51 | Equations (635) can reduce 639 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (639) ~ (all_0_44_44 = e1) % 57.76/23.51 | (532) all_0_44_44 = e3 % 57.76/23.51 | % 57.76/23.51 | Equations (532) can reduce 220 to: % 57.76/23.51 | (1114) ~ (all_0_53_53 = e3) % 57.76/23.51 | % 57.76/23.51 | Simplifying 1114 yields: % 57.76/23.51 | (903) ~ (all_0_53_53 = e3) % 57.76/23.51 | % 57.76/23.51 | From (532) and (204) follows: % 57.76/23.51 | (15591) op(e3, e3) = all_0_11_11 % 57.76/23.51 | % 57.76/23.51 | From (532) and (70) follows: % 57.76/23.51 | (1954) op(e3, e0) = all_0_12_12 % 57.76/23.51 | % 57.76/23.51 | From (532) and (138) follows: % 57.76/23.51 | (1639) op(e3, e0) = e3 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (418), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (660) all_0_51_51 = e3 % 57.76/23.51 | % 57.76/23.51 | From (660) and (186) follows: % 57.76/23.51 | (1552) op(e1, e2) = e3 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 57.76/23.51 | (496) all_0_2_2 = e1 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e3, e3, all_0_11_11, e4 and discharging atoms op(e3, e3) = all_0_11_11, op(e3, e3) = e4, yields: % 57.76/23.51 | (9789) all_0_11_11 = e4 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 57.76/23.51 | (2156) all_0_12_12 = e3 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 57.76/23.51 | (498) all_0_4_4 = e3 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e0, e3, all_0_7_7, e0 and discharging atoms op(e0, e3) = all_0_7_7, op(e0, e3) = e0, yields: % 57.76/23.51 | (5710) all_0_7_7 = e0 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e0, e2, all_0_8_8, e2 and discharging atoms op(e0, e2) = all_0_8_8, op(e0, e2) = e2, yields: % 57.76/23.51 | (15601) all_0_8_8 = e2 % 57.76/23.51 | % 57.76/23.51 | From (496) and (479) follows: % 57.76/23.51 | (41) op(e4, e4) = e1 % 57.76/23.51 | % 57.76/23.51 | From (9789) and (15591) follows: % 57.76/23.51 | (1913) op(e3, e3) = e4 % 57.76/23.51 | % 57.76/23.51 | From (2156) and (1954) follows: % 57.76/23.51 | (1639) op(e3, e0) = e3 % 57.76/23.51 | % 57.76/23.51 | From (498) and (494) follows: % 57.76/23.51 | (283) op(e0, e4) = e3 % 57.76/23.51 | % 57.76/23.51 | From (5710) and (15579) follows: % 57.76/23.51 | (752) op(e0, e3) = e0 % 57.76/23.51 | % 57.76/23.51 | From (15601) and (15580) follows: % 57.76/23.51 | (1508) op(e0, e2) = e2 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (56), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (696) unit = e2 % 57.76/23.51 | % 57.76/23.51 | From (696) and (32) follows: % 57.76/23.51 | (698) op(e2, e2) = e2 % 57.76/23.51 | % 57.76/23.51 | From (696) and (42) follows: % 57.76/23.51 | (1613) op(e0, e2) = e0 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 57.76/23.51 | (617) e2 = e1 % 57.76/23.51 | % 57.76/23.51 | Instantiating formula (29) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.76/23.51 | (330) e2 = e0 % 57.76/23.51 | % 57.76/23.51 | Combining equations (330,617) yields a new equation: % 57.76/23.51 | (431) e1 = e0 % 57.76/23.51 | % 57.76/23.51 | Equations (431) can reduce 233 to: % 57.76/23.51 | (266) $false % 57.76/23.51 | % 57.76/23.51 |-The branch is then unsatisfiable % 57.76/23.51 |-Branch two: % 57.76/23.51 | (707) ~ (unit = e2) % 57.76/23.51 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.76/23.51 | % 57.76/23.51 +-Applying beta-rule and splitting (708), into two cases. % 57.76/23.51 |-Branch one: % 57.76/23.51 | (709) unit = e4 % 57.76/23.51 | % 57.76/23.51 | From (709) and (227) follows: % 57.76/23.52 | (710) op(e4, e4) = e4 % 57.76/23.52 | % 57.76/23.52 | From (709) and (40) follows: % 57.76/23.52 | (711) op(e3, e4) = e3 % 57.76/23.52 | % 57.76/23.52 | From (709) and (32) follows: % 57.76/23.52 | (712) op(e2, e4) = e2 % 57.76/23.52 | % 57.76/23.52 | From (709) and (42) follows: % 57.76/23.52 | (713) op(e0, e4) = e0 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.76/23.52 | (630) e4 = e1 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.76/23.52 | (662) e3 = e2 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.76/23.52 | (323) e4 = e2 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.76/23.52 | (676) e3 = e0 % 57.76/23.52 | % 57.76/23.52 | Combining equations (323,630) yields a new equation: % 57.76/23.52 | (616) e2 = e1 % 57.76/23.52 | % 57.76/23.52 | Simplifying 616 yields: % 57.76/23.52 | (617) e2 = e1 % 57.76/23.52 | % 57.76/23.52 | Combining equations (662,676) yields a new equation: % 57.76/23.52 | (391) e2 = e0 % 57.76/23.52 | % 57.76/23.52 | Simplifying 391 yields: % 57.76/23.52 | (330) e2 = e0 % 57.76/23.52 | % 57.76/23.52 | Combining equations (330,617) yields a new equation: % 57.76/23.52 | (431) e1 = e0 % 57.76/23.52 | % 57.76/23.52 | Equations (431) can reduce 233 to: % 57.76/23.52 | (266) $false % 57.76/23.52 | % 57.76/23.52 |-The branch is then unsatisfiable % 57.76/23.52 |-Branch two: % 57.76/23.52 | (724) ~ (unit = e4) % 57.76/23.52 | (725) unit = e3 | unit = e1 | unit = e0 % 57.76/23.52 | % 57.76/23.52 +-Applying beta-rule and splitting (725), into two cases. % 57.76/23.52 |-Branch one: % 57.76/23.52 | (726) unit = e0 % 57.76/23.52 | % 57.76/23.52 | From (726) and (244) follows: % 57.76/23.52 | (2207) op(e0, e4) = e4 % 57.76/23.52 | % 57.76/23.52 | From (726) and (24) follows: % 57.76/23.52 | (2208) op(e0, e3) = e3 % 57.76/23.52 | % 57.76/23.52 | From (726) and (211) follows: % 57.76/23.52 | (15180) op(e0, e1) = e1 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.76/23.52 | (425) e4 = e3 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 57.76/23.52 | (676) e3 = e0 % 57.76/23.52 | % 57.76/23.52 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 57.76/23.52 | (630) e4 = e1 % 57.76/23.52 | % 57.76/23.52 | Combining equations (425,630) yields a new equation: % 57.76/23.52 | (454) e3 = e1 % 57.76/23.52 | % 57.76/23.52 | Simplifying 454 yields: % 57.76/23.52 | (455) e3 = e1 % 57.76/23.52 | % 57.76/23.52 | Combining equations (455,676) yields a new equation: % 57.76/23.52 | (546) e1 = e0 % 57.76/23.52 | % 57.76/23.52 | Simplifying 546 yields: % 57.76/23.52 | (431) e1 = e0 % 57.76/23.52 | % 57.76/23.52 | Equations (431) can reduce 233 to: % 57.76/23.52 | (266) $false % 57.76/23.52 | % 57.76/23.52 |-The branch is then unsatisfiable % 57.76/23.52 |-Branch two: % 57.76/23.52 | (734) ~ (unit = e0) % 57.76/23.52 | (735) unit = e3 | unit = e1 % 57.76/23.52 | % 57.76/23.52 +-Applying beta-rule and splitting (735), into two cases. % 57.76/23.52 |-Branch one: % 57.76/23.52 | (736) unit = e1 % 57.76/23.52 | % 57.76/23.52 | Equations (736) can reduce 734 to: % 57.76/23.52 | (233) ~ (e1 = e0) % 57.85/23.52 | % 57.85/23.52 | From (736) and (24) follows: % 57.85/23.52 | (1934) op(e1, e3) = e3 % 57.85/23.52 | % 57.85/23.52 | From (736) and (15) follows: % 57.85/23.52 | (515) op(e1, e2) = e2 % 57.85/23.52 | % 57.85/23.52 | From (736) and (32) follows: % 57.85/23.52 | (347) op(e2, e1) = e2 % 57.85/23.52 | % 57.85/23.52 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 57.85/23.52 | (330) e2 = e0 % 57.85/23.52 | % 57.85/23.52 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.85/23.52 | (455) e3 = e1 % 57.85/23.52 | % 57.85/23.52 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.85/23.52 | (662) e3 = e2 % 57.85/23.52 | % 57.85/23.52 | Combining equations (662,455) yields a new equation: % 57.85/23.52 | (616) e2 = e1 % 57.85/23.52 | % 57.85/23.52 | Simplifying 616 yields: % 57.85/23.52 | (617) e2 = e1 % 57.85/23.52 | % 57.85/23.52 | Combining equations (617,330) yields a new equation: % 57.85/23.52 | (546) e1 = e0 % 57.85/23.52 | % 57.85/23.52 | Simplifying 546 yields: % 57.85/23.52 | (431) e1 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (431) can reduce 233 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (748) ~ (unit = e1) % 57.85/23.52 | (749) unit = e3 % 57.85/23.52 | % 57.85/23.52 | From (749) and (244) follows: % 57.85/23.52 | (750) op(e3, e4) = e4 % 57.85/23.52 | % 57.85/23.52 | From (749) and (209) follows: % 57.85/23.52 | (1667) op(e3, e0) = e0 % 57.85/23.52 | % 57.85/23.52 | From (749) and (40) follows: % 57.85/23.52 | (3715) op(e3, e3) = e3 % 57.85/23.52 | % 57.85/23.52 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.85/23.52 | (323) e4 = e2 % 57.85/23.52 | % 57.85/23.52 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.85/23.52 | (425) e4 = e3 % 57.85/23.52 | % 57.85/23.52 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.85/23.52 | (676) e3 = e0 % 57.85/23.52 | % 57.85/23.52 | Combining equations (323,425) yields a new equation: % 57.85/23.52 | (662) e3 = e2 % 57.85/23.52 | % 57.85/23.52 | Combining equations (676,662) yields a new equation: % 57.85/23.52 | (330) e2 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (330) can reduce 128 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (664) ~ (all_0_51_51 = e3) % 57.85/23.52 | (665) all_0_53_53 = e3 % 57.85/23.52 | % 57.85/23.52 | Equations (665) can reduce 903 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (358) ~ (all_0_42_42 = e0) % 57.85/23.52 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (563), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (674) all_0_47_47 = e0 % 57.85/23.52 | % 57.85/23.52 | Combining equations (654,674) yields a new equation: % 57.85/23.52 | (546) e1 = e0 % 57.85/23.52 | % 57.85/23.52 | Simplifying 546 yields: % 57.85/23.52 | (431) e1 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (431) can reduce 233 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (678) ~ (all_0_47_47 = e0) % 57.85/23.52 | (679) all_0_56_56 = e0 % 57.85/23.52 | % 57.85/23.52 | Combining equations (833,679) yields a new equation: % 57.85/23.52 | (391) e2 = e0 % 57.85/23.52 | % 57.85/23.52 | Simplifying 391 yields: % 57.85/23.52 | (330) e2 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (330) can reduce 128 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (1377) ~ (all_0_39_39 = e4) % 57.85/23.52 | (1378) all_0_40_40 = e4 % 57.85/23.52 | % 57.85/23.52 | Combining equations (485,1378) yields a new equation: % 57.85/23.52 | (397) e4 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (397) can reduce 49 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (440) ~ (all_0_41_41 = e4) % 57.85/23.52 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (4049), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (794) all_0_41_41 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (794) can reduce 357 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (357) ~ (all_0_41_41 = e0) % 57.85/23.52 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (4053), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (453) all_0_41_41 = e1 % 57.85/23.52 | % 57.85/23.52 | Equations (453) can reduce 457 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (457) ~ (all_0_41_41 = e1) % 57.85/23.52 | (403) all_0_41_41 = e3 % 57.85/23.52 | % 57.85/23.52 | Equations (403) can reduce 1898 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (759) ~ (all_0_50_50 = e1) % 57.85/23.52 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (1168), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (1109) all_0_51_51 = e1 % 57.85/23.52 | % 57.85/23.52 | Equations (1109) can reduce 464 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (464) ~ (all_0_51_51 = e1) % 57.85/23.52 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (1202), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (642) all_0_52_52 = e1 % 57.85/23.52 | % 57.85/23.52 | Combining equations (352,642) yields a new equation: % 57.85/23.52 | (616) e2 = e1 % 57.85/23.52 | % 57.85/23.52 | Simplifying 616 yields: % 57.85/23.52 | (617) e2 = e1 % 57.85/23.52 | % 57.85/23.52 | Equations (617) can reduce 122 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (646) ~ (all_0_52_52 = e1) % 57.85/23.52 | (1208) all_0_53_53 = e1 % 57.85/23.52 | % 57.85/23.52 | Equations (1208) can reduce 1459 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (803) ~ (all_0_55_55 = e0) % 57.85/23.52 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (863), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (679) all_0_56_56 = e0 % 57.85/23.52 | % 57.85/23.52 | Combining equations (833,679) yields a new equation: % 57.85/23.52 | (391) e2 = e0 % 57.85/23.52 | % 57.85/23.52 | Simplifying 391 yields: % 57.85/23.52 | (330) e2 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (330) can reduce 128 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (828) ~ (all_0_56_56 = e0) % 57.85/23.52 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (924), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (875) all_0_57_57 = e0 % 57.85/23.52 | % 57.85/23.52 | Combining equations (871,875) yields a new equation: % 57.85/23.52 | (481) e4 = e0 % 57.85/23.52 | % 57.85/23.52 | Simplifying 481 yields: % 57.85/23.52 | (397) e4 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (397) can reduce 49 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (364) ~ (all_0_57_57 = e0) % 57.85/23.52 | (914) all_0_58_58 = e0 % 57.85/23.52 | % 57.85/23.52 | Combining equations (914,918) yields a new equation: % 57.85/23.52 | (431) e1 = e0 % 57.85/23.52 | % 57.85/23.52 | Equations (431) can reduce 233 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (409) ~ (all_0_46_46 = e3) % 57.85/23.52 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (1561), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (522) all_0_47_47 = e3 % 57.85/23.52 | % 57.85/23.52 | Combining equations (654,522) yields a new equation: % 57.85/23.52 | (455) e3 = e1 % 57.85/23.52 | % 57.85/23.52 | Equations (455) can reduce 213 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (1091) ~ (all_0_47_47 = e3) % 57.85/23.52 | (884) all_0_49_49 = e3 % 57.85/23.52 | % 57.85/23.52 | Combining equations (583,884) yields a new equation: % 57.85/23.52 | (662) e3 = e2 % 57.85/23.52 | % 57.85/23.52 | Equations (662) can reduce 212 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (340) ~ (all_0_49_49 = e2) % 57.85/23.52 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (614), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (607) all_0_53_53 = e2 % 57.85/23.52 | % 57.85/23.52 | Equations (607) can reduce 509 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (509) ~ (all_0_53_53 = e2) % 57.85/23.52 | (624) all_0_58_58 = e2 % 57.85/23.52 | % 57.85/23.52 | Equations (624) can reduce 908 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 57.85/23.52 | % 57.85/23.52 | Applying alpha-rule on (819) yields: % 57.85/23.52 | (674) all_0_47_47 = e0 % 57.85/23.52 | (624) all_0_58_58 = e2 % 57.85/23.52 | (340) ~ (all_0_49_49 = e2) % 57.85/23.52 | % 57.85/23.52 | Equations (674) can reduce 678 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 57.85/23.52 | % 57.85/23.52 | Applying alpha-rule on (825) yields: % 57.85/23.52 | (674) all_0_47_47 = e0 % 57.85/23.52 | (624) all_0_58_58 = e2 % 57.85/23.52 | (828) ~ (all_0_56_56 = e0) % 57.85/23.52 | % 57.85/23.52 | Equations (674) can reduce 678 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (1283) ~ (all_0_48_48 = e0) % 57.85/23.52 | (615) all_0_48_48 = e1 % 57.85/23.52 | % 57.85/23.52 | Equations (615) can reduce 619 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (342) ~ (all_0_52_52 = e2) % 57.85/23.52 | (355) all_0_52_52 = e4 | all_0_52_52 = e1 % 57.85/23.52 | % 57.85/23.52 +-Applying beta-rule and splitting (10167), into two cases. % 57.85/23.52 |-Branch one: % 57.85/23.52 | (352) all_0_52_52 = e2 % 57.85/23.52 | % 57.85/23.52 | Equations (352) can reduce 342 to: % 57.85/23.52 | (266) $false % 57.85/23.52 | % 57.85/23.52 |-The branch is then unsatisfiable % 57.85/23.52 |-Branch two: % 57.85/23.52 | (342) ~ (all_0_52_52 = e2) % 57.85/23.52 | (442) all_0_57_57 = e2 % 57.85/23.52 | % 57.85/23.52 | Equations (442) can reduce 199 to: % 57.85/23.52 | (96) ~ (all_0_43_43 = e2) % 57.85/23.52 | % 57.85/23.52 | Equations (442) can reduce 239 to: % 57.85/23.52 | (810) ~ (all_0_48_48 = e2) % 57.85/23.52 | % 57.85/23.52 | Equations (442) can reduce 11 to: % 57.85/23.52 | (342) ~ (all_0_52_52 = e2) % 57.85/23.52 | % 57.85/23.52 | Equations (442) can reduce 81 to: % 57.85/23.52 | (304) ~ (all_0_55_55 = e2) % 57.85/23.52 | % 57.85/23.52 | Equations (442) can reduce 140 to: % 57.85/23.52 | (511) ~ (all_0_56_56 = e2) % 57.85/23.52 | % 57.85/23.52 | Equations (442) can reduce 148 to: % 57.85/23.52 | (1186) ~ (all_0_58_58 = e2) % 57.85/23.52 | % 57.85/23.52 | Simplifying 1186 yields: % 57.85/23.52 | (908) ~ (all_0_58_58 = e2) % 57.85/23.52 | % 57.85/23.52 | From (442) and (45) follows: % 57.85/23.52 | (16560) op(e2, e1) = all_0_36_36 % 57.85/23.52 | % 57.85/23.52 | From (442) and (146) follows: % 57.85/23.52 | (16561) op(e2, e0) = all_0_35_35 % 57.85/23.52 | % 57.85/23.52 | From (442) and (83) follows: % 57.85/23.53 | (16562) op(e0, e1) = e2 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (163), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (565) all_0_52_52 = e4 % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 217 to: % 57.85/23.53 | (399) ~ (all_0_43_43 = e4) % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 202 to: % 57.85/23.53 | (254) ~ (all_0_48_48 = e4) % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 101 to: % 57.85/23.53 | (566) ~ (all_0_50_50 = e4) % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 20 to: % 57.85/23.53 | (475) ~ (all_0_51_51 = e4) % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 46 to: % 57.85/23.53 | (1452) ~ (all_0_53_53 = e4) % 57.85/23.53 | % 57.85/23.53 | Simplifying 1452 yields: % 57.85/23.53 | (1453) ~ (all_0_53_53 = e4) % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 166 to: % 57.85/23.53 | (188) ~ (e4 = e3) % 57.85/23.53 | % 57.85/23.53 | Equations (565) can reduce 342 to: % 57.85/23.53 | (48) ~ (e4 = e2) % 57.85/23.53 | % 57.85/23.53 | From (565) and (124) follows: % 57.85/23.53 | (570) op(e1, e1) = e4 % 57.85/23.53 | % 57.85/23.53 | Instantiating formula (29) with e2, e1, all_0_36_36, all_0_48_48 and discharging atoms op(e2, e1) = all_0_36_36, op(e2, e1) = all_0_48_48, yields: % 57.85/23.53 | (16573) all_0_36_36 = all_0_48_48 % 57.85/23.53 | % 57.85/23.53 | Instantiating formula (29) with e2, e0, all_0_35_35, all_0_49_49 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_49_49, yields: % 57.85/23.53 | (16574) all_0_35_35 = all_0_49_49 % 57.85/23.53 | % 57.85/23.53 | From (16573) and (16560) follows: % 57.85/23.53 | (192) op(e2, e1) = all_0_48_48 % 57.85/23.53 | % 57.85/23.53 | From (16574) and (16561) follows: % 57.85/23.53 | (55) op(e2, e0) = all_0_49_49 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (4), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (356) all_0_43_43 = e0 % 57.85/23.53 | % 57.85/23.53 | Equations (356) can reduce 31 to: % 57.85/23.53 | (357) ~ (all_0_41_41 = e0) % 57.85/23.53 | % 57.85/23.53 | Equations (356) can reduce 240 to: % 57.85/23.53 | (358) ~ (all_0_42_42 = e0) % 57.85/23.53 | % 57.85/23.53 | Equations (356) can reduce 159 to: % 57.85/23.53 | (359) ~ (all_0_44_44 = e0) % 57.85/23.53 | % 57.85/23.53 | Simplifying 359 yields: % 57.85/23.53 | (360) ~ (all_0_44_44 = e0) % 57.85/23.53 | % 57.85/23.53 | Equations (356) can reduce 17 to: % 57.85/23.53 | (10200) ~ (all_0_48_48 = e0) % 57.85/23.53 | % 57.85/23.53 | Simplifying 10200 yields: % 57.85/23.53 | (1283) ~ (all_0_48_48 = e0) % 57.85/23.53 | % 57.85/23.53 | Equations (356) can reduce 96 to: % 57.85/23.53 | (365) ~ (e2 = e0) % 57.85/23.53 | % 57.85/23.53 | Simplifying 365 yields: % 57.85/23.53 | (128) ~ (e2 = e0) % 57.85/23.53 | % 57.85/23.53 | From (356) and (88) follows: % 57.85/23.53 | (367) op(e0, e3) = all_0_9_9 % 57.85/23.53 | % 57.85/23.53 | From (356) and (98) follows: % 57.85/23.53 | (368) op(e0, e1) = all_0_10_10 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (228), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (335) all_0_48_48 = e2 % 57.85/23.53 | % 57.85/23.53 | Equations (335) can reduce 810 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (810) ~ (all_0_48_48 = e2) % 57.85/23.53 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (10218), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (943) all_0_48_48 = e4 % 57.85/23.53 | % 57.85/23.53 | Equations (943) can reduce 254 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (254) ~ (all_0_48_48 = e4) % 57.85/23.53 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (10222), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (1279) all_0_48_48 = e0 % 57.85/23.53 | % 57.85/23.53 | Equations (1279) can reduce 1283 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (1283) ~ (all_0_48_48 = e0) % 57.85/23.53 | (615) all_0_48_48 = e1 % 57.85/23.53 | % 57.85/23.53 | Equations (615) can reduce 30 to: % 57.85/23.53 | (549) ~ (all_0_46_46 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (615) can reduce 114 to: % 57.85/23.53 | (462) ~ (all_0_47_47 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (615) can reduce 185 to: % 57.85/23.53 | (1419) ~ (all_0_49_49 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 1419 yields: % 57.85/23.53 | (1064) ~ (all_0_49_49 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (615) can reduce 254 to: % 57.85/23.53 | (602) ~ (e4 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 602 yields: % 57.85/23.53 | (110) ~ (e4 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (615) can reduce 215 to: % 57.85/23.53 | (467) ~ (e3 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 467 yields: % 57.85/23.53 | (213) ~ (e3 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (615) can reduce 1283 to: % 57.85/23.53 | (233) ~ (e1 = e0) % 57.85/23.53 | % 57.85/23.53 | From (615) and (169) follows: % 57.85/23.53 | (16609) op(e1, e2) = all_0_18_18 % 57.85/23.53 | % 57.85/23.53 | From (615) and (192) follows: % 57.85/23.53 | (1612) op(e2, e1) = e1 % 57.85/23.53 | % 57.85/23.53 | Instantiating formula (29) with e1, e2, all_0_18_18, all_0_51_51 and discharging atoms op(e1, e2) = all_0_18_18, op(e1, e2) = all_0_51_51, yields: % 57.85/23.53 | (16611) all_0_18_18 = all_0_51_51 % 57.85/23.53 | % 57.85/23.53 | Instantiating formula (29) with e0, e3, all_0_9_9, all_0_55_55 and discharging atoms op(e0, e3) = all_0_9_9, op(e0, e3) = all_0_55_55, yields: % 57.85/23.53 | (370) all_0_9_9 = all_0_55_55 % 57.85/23.53 | % 57.85/23.53 | Instantiating formula (29) with e0, e1, all_0_10_10, e2 and discharging atoms op(e0, e1) = all_0_10_10, op(e0, e1) = e2, yields: % 57.85/23.53 | (15017) all_0_10_10 = e2 % 57.85/23.53 | % 57.85/23.53 | From (16611) and (16609) follows: % 57.85/23.53 | (186) op(e1, e2) = all_0_51_51 % 57.85/23.53 | % 57.85/23.53 | From (370) and (367) follows: % 57.85/23.53 | (74) op(e0, e3) = all_0_55_55 % 57.85/23.53 | % 57.85/23.53 | From (15017) and (368) follows: % 57.85/23.53 | (16562) op(e0, e1) = e2 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (47), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (317) all_0_39_39 = e2 % 57.85/23.53 | % 57.85/23.53 | Equations (317) can reduce 294 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (294) ~ (all_0_39_39 = e2) % 57.85/23.53 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (158), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (313) all_0_40_40 = e2 % 57.85/23.53 | % 57.85/23.53 | Equations (313) can reduce 296 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (296) ~ (all_0_40_40 = e2) % 57.85/23.53 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (95), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (378) all_0_50_50 = e2 % 57.85/23.53 | % 57.85/23.53 | Equations (378) can reduce 302 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (302) ~ (all_0_50_50 = e2) % 57.85/23.53 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (241), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (378) all_0_50_50 = e2 % 57.85/23.53 | % 57.85/23.53 | Equations (378) can reduce 302 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (302) ~ (all_0_50_50 = e2) % 57.85/23.53 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (243), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (329) all_0_38_38 = e0 % 57.85/23.53 | % 57.85/23.53 | Combining equations (292,329) yields a new equation: % 57.85/23.53 | (391) e2 = e0 % 57.85/23.53 | % 57.85/23.53 | Simplifying 391 yields: % 57.85/23.53 | (330) e2 = e0 % 57.85/23.53 | % 57.85/23.53 | Equations (330) can reduce 128 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (332) ~ (all_0_38_38 = e0) % 57.85/23.53 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (113), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (403) all_0_41_41 = e3 % 57.85/23.53 | % 57.85/23.53 | Equations (403) can reduce 214 to: % 57.85/23.53 | (404) ~ (all_0_42_42 = e3) % 57.85/23.53 | % 57.85/23.53 | Simplifying 404 yields: % 57.85/23.53 | (405) ~ (all_0_42_42 = e3) % 57.85/23.53 | % 57.85/23.53 | Equations (403) can reduce 149 to: % 57.85/23.53 | (406) ~ (all_0_44_44 = e3) % 57.85/23.53 | % 57.85/23.53 | Simplifying 406 yields: % 57.85/23.53 | (407) ~ (all_0_44_44 = e3) % 57.85/23.53 | % 57.85/23.53 | Equations (403) can reduce 43 to: % 57.85/23.53 | (408) ~ (all_0_46_46 = e3) % 57.85/23.53 | % 57.85/23.53 | Simplifying 408 yields: % 57.85/23.53 | (409) ~ (all_0_46_46 = e3) % 57.85/23.53 | % 57.85/23.53 | Equations (403) can reduce 221 to: % 57.85/23.53 | (410) ~ (all_0_50_50 = e3) % 57.85/23.53 | % 57.85/23.53 | Simplifying 410 yields: % 57.85/23.53 | (411) ~ (all_0_50_50 = e3) % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (422), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (775) all_0_50_50 = e4 % 57.85/23.53 | % 57.85/23.53 | Equations (775) can reduce 566 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (566) ~ (all_0_50_50 = e4) % 57.85/23.53 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (1444), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (601) all_0_50_50 = e1 % 57.85/23.53 | % 57.85/23.53 | Equations (601) can reduce 35 to: % 57.85/23.53 | (549) ~ (all_0_46_46 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (601) can reduce 59 to: % 57.85/23.53 | (463) ~ (all_0_51_51 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 463 yields: % 57.85/23.53 | (464) ~ (all_0_51_51 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (601) can reduce 190 to: % 57.85/23.53 | (1458) ~ (all_0_53_53 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 1458 yields: % 57.85/23.53 | (1459) ~ (all_0_53_53 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (601) can reduce 93 to: % 57.85/23.53 | (2331) ~ (all_0_55_55 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 2331 yields: % 57.85/23.53 | (632) ~ (all_0_55_55 = e1) % 57.85/23.53 | % 57.85/23.53 | Equations (601) can reduce 566 to: % 57.85/23.53 | (602) ~ (e4 = e1) % 57.85/23.53 | % 57.85/23.53 | Simplifying 602 yields: % 57.85/23.53 | (110) ~ (e4 = e1) % 57.85/23.53 | % 57.85/23.53 | From (601) and (8) follows: % 57.85/23.53 | (15351) op(e1, e3) = all_0_23_23 % 57.85/23.53 | % 57.85/23.53 | From (601) and (242) follows: % 57.85/23.53 | (2235) op(e1, e3) = e1 % 57.85/23.53 | % 57.85/23.53 +-Applying beta-rule and splitting (123), into two cases. % 57.85/23.53 |-Branch one: % 57.85/23.53 | (1794) all_0_46_46 = e2 % 57.85/23.53 | % 57.85/23.53 | Equations (1794) can reduce 300 to: % 57.85/23.53 | (266) $false % 57.85/23.53 | % 57.85/23.53 |-The branch is then unsatisfiable % 57.85/23.53 |-Branch two: % 57.85/23.53 | (300) ~ (all_0_46_46 = e2) % 57.85/23.54 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (62), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (321) all_0_38_38 = e4 % 57.85/23.54 | % 57.85/23.54 | Combining equations (292,321) yields a new equation: % 57.85/23.54 | (323) e4 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (323) can reduce 48 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (325) ~ (all_0_38_38 = e4) % 57.85/23.54 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (1797), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (770) all_0_46_46 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (770) can reduce 250 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (250) ~ (all_0_46_46 = e4) % 57.85/23.54 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (582), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (437) all_0_41_41 = e4 % 57.85/23.54 | % 57.85/23.54 | Combining equations (403,437) yields a new equation: % 57.85/23.54 | (425) e4 = e3 % 57.85/23.54 | % 57.85/23.54 | Equations (425) can reduce 188 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (440) ~ (all_0_41_41 = e4) % 57.85/23.54 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (769), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (770) all_0_46_46 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (770) can reduce 250 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (250) ~ (all_0_46_46 = e4) % 57.85/23.54 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (774), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (775) all_0_50_50 = e4 % 57.85/23.54 | % 57.85/23.54 | Combining equations (775,601) yields a new equation: % 57.85/23.54 | (636) e4 = e1 % 57.85/23.54 | % 57.85/23.54 | Simplifying 636 yields: % 57.85/23.54 | (630) e4 = e1 % 57.85/23.54 | % 57.85/23.54 | Equations (630) can reduce 110 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (566) ~ (all_0_50_50 = e4) % 57.85/23.54 | (587) all_0_55_55 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (587) can reduce 58 to: % 57.85/23.54 | (250) ~ (all_0_46_46 = e4) % 57.85/23.54 | % 57.85/23.54 | Equations (587) can reduce 153 to: % 57.85/23.54 | (476) ~ (all_0_56_56 = e4) % 57.85/23.54 | % 57.85/23.54 | Simplifying 476 yields: % 57.85/23.54 | (477) ~ (all_0_56_56 = e4) % 57.85/23.54 | % 57.85/23.54 | Equations (587) can reduce 3 to: % 57.85/23.54 | (450) ~ (all_0_58_58 = e4) % 57.85/23.54 | % 57.85/23.54 | Simplifying 450 yields: % 57.85/23.54 | (451) ~ (all_0_58_58 = e4) % 57.85/23.54 | % 57.85/23.54 | Equations (587) can reduce 304 to: % 57.85/23.54 | (48) ~ (e4 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (587) can reduce 632 to: % 57.85/23.54 | (110) ~ (e4 = e1) % 57.85/23.54 | % 57.85/23.54 | From (587) and (68) follows: % 57.85/23.54 | (4717) op(e4, e0) = all_0_31_31 % 57.85/23.54 | % 57.85/23.54 | From (587) and (74) follows: % 57.85/23.54 | (589) op(e0, e3) = e4 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (1801), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (538) all_0_46_46 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (538) can reduce 19 to: % 57.85/23.54 | (1402) ~ (all_0_47_47 = e0) % 57.85/23.54 | % 57.85/23.54 | Simplifying 1402 yields: % 57.85/23.54 | (678) ~ (all_0_47_47 = e0) % 57.85/23.54 | % 57.85/23.54 | Equations (538) can reduce 250 to: % 57.85/23.54 | (401) ~ (e4 = e0) % 57.85/23.54 | % 57.85/23.54 | Simplifying 401 yields: % 57.85/23.54 | (49) ~ (e4 = e0) % 57.85/23.54 | % 57.85/23.54 | From (538) and (33) follows: % 57.85/23.54 | (543) op(e0, e3) = all_0_16_16 % 57.85/23.54 | % 57.85/23.54 | From (538) and (179) follows: % 57.85/23.54 | (1544) op(e0, e2) = all_0_15_15 % 57.85/23.54 | % 57.85/23.54 | From (538) and (120) follows: % 57.85/23.54 | (544) op(e2, e3) = e0 % 57.85/23.54 | % 57.85/23.54 | Instantiating formula (29) with e4, e0, all_0_31_31, all_0_40_40 and discharging atoms op(e4, e0) = all_0_31_31, op(e4, e0) = all_0_40_40, yields: % 57.85/23.54 | (16709) all_0_31_31 = all_0_40_40 % 57.85/23.54 | % 57.85/23.54 | Instantiating formula (29) with e1, e3, e1, all_0_23_23 and discharging atoms op(e1, e3) = all_0_23_23, op(e1, e3) = e1, yields: % 57.85/23.54 | (9657) all_0_23_23 = e1 % 57.85/23.54 | % 57.85/23.54 | Instantiating formula (29) with e0, e3, e4, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e4, yields: % 57.85/23.54 | (687) all_0_16_16 = e4 % 57.85/23.54 | % 57.85/23.54 | Instantiating formula (29) with e0, e2, all_0_15_15, all_0_56_56 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = all_0_56_56, yields: % 57.85/23.54 | (16712) all_0_15_15 = all_0_56_56 % 57.85/23.54 | % 57.85/23.54 | From (16709) and (4717) follows: % 57.85/23.54 | (234) op(e4, e0) = all_0_40_40 % 57.85/23.54 | % 57.85/23.54 | From (9657) and (15351) follows: % 57.85/23.54 | (2235) op(e1, e3) = e1 % 57.85/23.54 | % 57.85/23.54 | From (687) and (543) follows: % 57.85/23.54 | (589) op(e0, e3) = e4 % 57.85/23.54 | % 57.85/23.54 | From (16712) and (1544) follows: % 57.85/23.54 | (111) op(e0, e2) = all_0_56_56 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (196), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (607) all_0_53_53 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (607) can reduce 220 to: % 57.85/23.54 | (147) ~ (all_0_44_44 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (607) can reduce 65 to: % 57.85/23.54 | (340) ~ (all_0_49_49 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (607) can reduce 6 to: % 57.85/23.54 | (1099) ~ (all_0_51_51 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (607) can reduce 1459 to: % 57.85/23.54 | (122) ~ (e2 = e1) % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (7), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (504) all_0_51_51 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (504) can reduce 1099 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (1099) ~ (all_0_51_51 = e2) % 57.85/23.54 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (1100), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (1101) all_0_51_51 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (1101) can reduce 475 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (475) ~ (all_0_51_51 = e4) % 57.85/23.54 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (1104), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (1109) all_0_51_51 = e1 % 57.85/23.54 | % 57.85/23.54 | Equations (1109) can reduce 464 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (464) ~ (all_0_51_51 = e1) % 57.85/23.54 | (660) all_0_51_51 = e3 % 57.85/23.54 | % 57.85/23.54 | Equations (660) can reduce 61 to: % 57.85/23.54 | (405) ~ (all_0_42_42 = e3) % 57.85/23.54 | % 57.85/23.54 | Equations (660) can reduce 224 to: % 57.85/23.54 | (1091) ~ (all_0_47_47 = e3) % 57.85/23.54 | % 57.85/23.54 | Equations (660) can reduce 475 to: % 57.85/23.54 | (277) ~ (e4 = e3) % 57.85/23.54 | % 57.85/23.54 | Simplifying 277 yields: % 57.85/23.54 | (188) ~ (e4 = e3) % 57.85/23.54 | % 57.85/23.54 | Equations (660) can reduce 1099 to: % 57.85/23.54 | (212) ~ (e3 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (660) can reduce 115 to: % 57.85/23.54 | (80) ~ (e3 = e0) % 57.85/23.54 | % 57.85/23.54 | From (660) and (186) follows: % 57.85/23.54 | (1552) op(e1, e2) = e3 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (189), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (532) all_0_44_44 = e3 % 57.85/23.54 | % 57.85/23.54 | Equations (532) can reduce 407 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (407) ~ (all_0_44_44 = e3) % 57.85/23.54 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (10171), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (1105) all_0_47_47 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (1105) can reduce 79 to: % 57.85/23.54 | (294) ~ (all_0_39_39 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (1105) can reduce 198 to: % 57.85/23.54 | (51) ~ (all_0_42_42 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (1105) can reduce 86 to: % 57.85/23.54 | (339) ~ (all_0_49_49 = e2) % 57.85/23.54 | % 57.85/23.54 | Simplifying 339 yields: % 57.85/23.54 | (340) ~ (all_0_49_49 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (1105) can reduce 91 to: % 57.85/23.54 | (510) ~ (all_0_56_56 = e2) % 57.85/23.54 | % 57.85/23.54 | Simplifying 510 yields: % 57.85/23.54 | (511) ~ (all_0_56_56 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (1105) can reduce 1091 to: % 57.85/23.54 | (626) ~ (e3 = e2) % 57.85/23.54 | % 57.85/23.54 | Simplifying 626 yields: % 57.85/23.54 | (212) ~ (e3 = e2) % 57.85/23.54 | % 57.85/23.54 | Equations (1105) can reduce 678 to: % 57.85/23.54 | (128) ~ (e2 = e0) % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (54), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (583) all_0_49_49 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (583) can reduce 340 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (340) ~ (all_0_49_49 = e2) % 57.85/23.54 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (78), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (423) all_0_45_45 = e3 % 57.85/23.54 | % 57.85/23.54 | Combining equations (423,248) yields a new equation: % 57.85/23.54 | (425) e4 = e3 % 57.85/23.54 | % 57.85/23.54 | Equations (425) can reduce 188 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (427) ~ (all_0_45_45 = e3) % 57.85/23.54 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (586), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (974) all_0_49_49 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (974) can reduce 256 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (256) ~ (all_0_49_49 = e4) % 57.85/23.54 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (428), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (1557) all_0_46_46 = e3 % 57.85/23.54 | % 57.85/23.54 | Combining equations (1557,538) yields a new equation: % 57.85/23.54 | (675) e3 = e0 % 57.85/23.54 | % 57.85/23.54 | Simplifying 675 yields: % 57.85/23.54 | (676) e3 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (676) can reduce 80 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (409) ~ (all_0_46_46 = e3) % 57.85/23.54 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (1561), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (522) all_0_47_47 = e3 % 57.85/23.54 | % 57.85/23.54 | Combining equations (522,1105) yields a new equation: % 57.85/23.54 | (661) e3 = e2 % 57.85/23.54 | % 57.85/23.54 | Simplifying 661 yields: % 57.85/23.54 | (662) e3 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (662) can reduce 212 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (1091) ~ (all_0_47_47 = e3) % 57.85/23.54 | (884) all_0_49_49 = e3 % 57.85/23.54 | % 57.85/23.54 | Equations (884) can reduce 9 to: % 57.85/23.54 | (407) ~ (all_0_44_44 = e3) % 57.85/23.54 | % 57.85/23.54 | Equations (884) can reduce 256 to: % 57.85/23.54 | (277) ~ (e4 = e3) % 57.85/23.54 | % 57.85/23.54 | Simplifying 277 yields: % 57.85/23.54 | (188) ~ (e4 = e3) % 57.85/23.54 | % 57.85/23.54 | From (884) and (55) follows: % 57.85/23.54 | (1581) op(e2, e0) = e3 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (64), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (437) all_0_41_41 = e4 % 57.85/23.54 | % 57.85/23.54 | Combining equations (437,403) yields a new equation: % 57.85/23.54 | (424) e4 = e3 % 57.85/23.54 | % 57.85/23.54 | Simplifying 424 yields: % 57.85/23.54 | (425) e4 = e3 % 57.85/23.54 | % 57.85/23.54 | Equations (425) can reduce 188 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (440) ~ (all_0_41_41 = e4) % 57.85/23.54 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (104), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (480) all_0_39_39 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (480) can reduce 176 to: % 57.85/23.54 | (1400) ~ (all_0_40_40 = e0) % 57.85/23.54 | % 57.85/23.54 | Simplifying 1400 yields: % 57.85/23.54 | (1401) ~ (all_0_40_40 = e0) % 57.85/23.54 | % 57.85/23.54 | Equations (480) can reduce 154 to: % 57.85/23.54 | (1181) ~ (all_0_56_56 = e0) % 57.85/23.54 | % 57.85/23.54 | Simplifying 1181 yields: % 57.85/23.54 | (828) ~ (all_0_56_56 = e0) % 57.85/23.54 | % 57.85/23.54 | Equations (480) can reduce 294 to: % 57.85/23.54 | (365) ~ (e2 = e0) % 57.85/23.54 | % 57.85/23.54 | Simplifying 365 yields: % 57.85/23.54 | (128) ~ (e2 = e0) % 57.85/23.54 | % 57.85/23.54 | From (480) and (14) follows: % 57.85/23.54 | (4090) op(e4, e2) = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (125), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (858) all_0_55_55 = e0 % 57.85/23.54 | % 57.85/23.54 | Combining equations (587,858) yields a new equation: % 57.85/23.54 | (481) e4 = e0 % 57.85/23.54 | % 57.85/23.54 | Simplifying 481 yields: % 57.85/23.54 | (397) e4 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (397) can reduce 49 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (803) ~ (all_0_55_55 = e0) % 57.85/23.54 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (316), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (1378) all_0_40_40 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (1378) can reduce 143 to: % 57.85/23.54 | (1903) ~ (all_0_44_44 = e4) % 57.85/23.54 | % 57.85/23.54 | Simplifying 1903 yields: % 57.85/23.54 | (1390) ~ (all_0_44_44 = e4) % 57.85/23.54 | % 57.85/23.54 | Equations (1378) can reduce 178 to: % 57.85/23.54 | (450) ~ (all_0_58_58 = e4) % 57.85/23.54 | % 57.85/23.54 | Simplifying 450 yields: % 57.85/23.54 | (451) ~ (all_0_58_58 = e4) % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (26), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (446) all_0_44_44 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (446) can reduce 1390 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (1390) ~ (all_0_44_44 = e4) % 57.85/23.54 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (863), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (679) all_0_56_56 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (679) can reduce 828 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (828) ~ (all_0_56_56 = e0) % 57.85/23.54 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (924), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (875) all_0_57_57 = e0 % 57.85/23.54 | % 57.85/23.54 | Combining equations (875,442) yields a new equation: % 57.85/23.54 | (330) e2 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (330) can reduce 128 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (364) ~ (all_0_57_57 = e0) % 57.85/23.54 | (914) all_0_58_58 = e0 % 57.85/23.54 | % 57.85/23.54 | Equations (914) can reduce 181 to: % 57.85/23.54 | (360) ~ (all_0_44_44 = e0) % 57.85/23.54 | % 57.85/23.54 | Equations (914) can reduce 44 to: % 57.85/23.54 | (828) ~ (all_0_56_56 = e0) % 57.85/23.54 | % 57.85/23.54 | Equations (914) can reduce 451 to: % 57.85/23.54 | (401) ~ (e4 = e0) % 57.85/23.54 | % 57.85/23.54 | Simplifying 401 yields: % 57.85/23.54 | (49) ~ (e4 = e0) % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (112), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (635) all_0_44_44 = e1 % 57.85/23.54 | % 57.85/23.54 | Equations (635) can reduce 73 to: % 57.85/23.54 | (1380) ~ (all_0_42_42 = e1) % 57.85/23.54 | % 57.85/23.54 | Equations (635) can reduce 1390 to: % 57.85/23.54 | (602) ~ (e4 = e1) % 57.85/23.54 | % 57.85/23.54 | Simplifying 602 yields: % 57.85/23.54 | (110) ~ (e4 = e1) % 57.85/23.54 | % 57.85/23.54 | Equations (635) can reduce 147 to: % 57.85/23.54 | (604) ~ (e2 = e1) % 57.85/23.54 | % 57.85/23.54 | Simplifying 604 yields: % 57.85/23.54 | (122) ~ (e2 = e1) % 57.85/23.54 | % 57.85/23.54 | Equations (635) can reduce 360 to: % 57.85/23.54 | (233) ~ (e1 = e0) % 57.85/23.54 | % 57.85/23.54 | From (635) and (138) follows: % 57.85/23.54 | (1423) op(e3, e0) = e1 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (152), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (1392) all_0_42_42 = e4 % 57.85/23.54 | % 57.85/23.54 | Equations (1392) can reduce 1380 to: % 57.85/23.54 | (110) ~ (e4 = e1) % 57.85/23.54 | % 57.85/23.54 | From (1392) and (210) follows: % 57.85/23.54 | (4074) op(e3, e2) = e4 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (216), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (629) all_0_55_55 = e1 % 57.85/23.54 | % 57.85/23.54 | Combining equations (587,629) yields a new equation: % 57.85/23.54 | (636) e4 = e1 % 57.85/23.54 | % 57.85/23.54 | Simplifying 636 yields: % 57.85/23.54 | (630) e4 = e1 % 57.85/23.54 | % 57.85/23.54 | Equations (630) can reduce 110 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (632) ~ (all_0_55_55 = e1) % 57.85/23.54 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.85/23.54 | % 57.85/23.54 | Equations (587) can reduce 632 to: % 57.85/23.54 | (110) ~ (e4 = e1) % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (131), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (459) all_0_42_42 = e1 % 57.85/23.54 | % 57.85/23.54 | Combining equations (459,1392) yields a new equation: % 57.85/23.54 | (630) e4 = e1 % 57.85/23.54 | % 57.85/23.54 | Equations (630) can reduce 110 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (1380) ~ (all_0_42_42 = e1) % 57.85/23.54 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (133), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.54 | (833) all_0_56_56 = e2 % 57.85/23.54 | % 57.85/23.54 | Equations (833) can reduce 511 to: % 57.85/23.54 | (266) $false % 57.85/23.54 | % 57.85/23.54 |-The branch is then unsatisfiable % 57.85/23.54 |-Branch two: % 57.85/23.54 | (511) ~ (all_0_56_56 = e2) % 57.85/23.54 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.85/23.54 | % 57.85/23.54 +-Applying beta-rule and splitting (633), into two cases. % 57.85/23.54 |-Branch one: % 57.85/23.55 | (1569) all_0_56_56 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (1569) can reduce 511 to: % 57.85/23.55 | (604) ~ (e2 = e1) % 57.85/23.55 | % 57.85/23.55 | Simplifying 604 yields: % 57.85/23.55 | (122) ~ (e2 = e1) % 57.85/23.55 | % 57.85/23.55 | Equations (1569) can reduce 828 to: % 57.85/23.55 | (233) ~ (e1 = e0) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (56), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (696) unit = e2 % 57.85/23.55 | % 57.85/23.55 | From (696) and (227) follows: % 57.85/23.55 | (4284) op(e4, e2) = e4 % 57.85/23.55 | % 57.85/23.55 | From (696) and (40) follows: % 57.85/23.55 | (4285) op(e3, e2) = e3 % 57.85/23.55 | % 57.85/23.55 | From (696) and (28) follows: % 57.85/23.55 | (699) op(e1, e2) = e1 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 57.85/23.55 | (397) e4 = e0 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 57.85/23.55 | (425) e4 = e3 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 57.85/23.55 | (455) e3 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (397,425) yields a new equation: % 57.85/23.55 | (676) e3 = e0 % 57.85/23.55 | % 57.85/23.55 | Combining equations (676,455) yields a new equation: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (707) ~ (unit = e2) % 57.85/23.55 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (708), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (709) unit = e4 % 57.85/23.55 | % 57.85/23.55 | From (709) and (227) follows: % 57.85/23.55 | (710) op(e4, e4) = e4 % 57.85/23.55 | % 57.85/23.55 | From (709) and (40) follows: % 57.85/23.55 | (711) op(e3, e4) = e3 % 57.85/23.55 | % 57.85/23.55 | From (709) and (32) follows: % 57.85/23.55 | (712) op(e2, e4) = e2 % 57.85/23.55 | % 57.85/23.55 | From (709) and (42) follows: % 57.85/23.55 | (713) op(e0, e4) = e0 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.85/23.55 | (630) e4 = e1 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.85/23.55 | (662) e3 = e2 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.85/23.55 | (323) e4 = e2 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.85/23.55 | (676) e3 = e0 % 57.85/23.55 | % 57.85/23.55 | Combining equations (630,323) yields a new equation: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (662,676) yields a new equation: % 57.85/23.55 | (391) e2 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 391 yields: % 57.85/23.55 | (330) e2 = e0 % 57.85/23.55 | % 57.85/23.55 | Combining equations (617,330) yields a new equation: % 57.85/23.55 | (546) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 546 yields: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (724) ~ (unit = e4) % 57.85/23.55 | (725) unit = e3 | unit = e1 | unit = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (725), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (726) unit = e0 % 57.85/23.55 | % 57.85/23.55 | From (726) and (40) follows: % 57.85/23.55 | (1639) op(e3, e0) = e3 % 57.85/23.55 | % 57.85/23.55 | From (726) and (32) follows: % 57.85/23.55 | (727) op(e2, e0) = e2 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e3, e0, e3, e1 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e1, yields: % 57.85/23.55 | (455) e3 = e1 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 57.85/23.55 | (662) e3 = e2 % 57.85/23.55 | % 57.85/23.55 | Combining equations (662,455) yields a new equation: % 57.85/23.55 | (616) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Simplifying 616 yields: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (617) can reduce 122 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (734) ~ (unit = e0) % 57.85/23.55 | (735) unit = e3 | unit = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (735), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (736) unit = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (736) can reduce 734 to: % 57.85/23.55 | (233) ~ (e1 = e0) % 57.85/23.55 | % 57.85/23.55 | From (736) and (24) follows: % 57.85/23.55 | (1934) op(e1, e3) = e3 % 57.85/23.55 | % 57.85/23.55 | From (736) and (15) follows: % 57.85/23.55 | (515) op(e1, e2) = e2 % 57.85/23.55 | % 57.85/23.55 | From (736) and (42) follows: % 57.85/23.55 | (3221) op(e0, e1) = e0 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.85/23.55 | (455) e3 = e1 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.85/23.55 | (662) e3 = e2 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.85/23.55 | (330) e2 = e0 % 57.85/23.55 | % 57.85/23.55 | Combining equations (662,455) yields a new equation: % 57.85/23.55 | (616) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Simplifying 616 yields: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (617,330) yields a new equation: % 57.85/23.55 | (546) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 546 yields: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (748) ~ (unit = e1) % 57.85/23.55 | (749) unit = e3 % 57.85/23.55 | % 57.85/23.55 | From (749) and (209) follows: % 57.85/23.55 | (1667) op(e3, e0) = e0 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (466) ~ (all_0_56_56 = e1) % 57.85/23.55 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (3259), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (654) all_0_47_47 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (1105,654) yields a new equation: % 57.85/23.55 | (616) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Simplifying 616 yields: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (617) can reduce 122 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (462) ~ (all_0_47_47 = e1) % 57.85/23.55 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (1105) can reduce 462 to: % 57.85/23.55 | (122) ~ (e2 = e1) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (1574), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (647) all_0_57_57 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (442,647) yields a new equation: % 57.85/23.55 | (616) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Simplifying 616 yields: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (617) can reduce 122 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (1670) ~ (all_0_57_57 = e1) % 57.85/23.55 | (918) all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (918,914) yields a new equation: % 57.85/23.55 | (546) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 546 yields: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (1890) ~ (all_0_42_42 = e4) % 57.85/23.55 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (216), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (629) all_0_55_55 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (629,587) yields a new equation: % 57.85/23.55 | (630) e4 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (630) can reduce 110 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (632) ~ (all_0_55_55 = e1) % 57.85/23.55 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (587) can reduce 632 to: % 57.85/23.55 | (110) ~ (e4 = e1) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (164), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (471) all_0_39_39 = e4 % 57.85/23.55 | % 57.85/23.55 | Combining equations (471,480) yields a new equation: % 57.85/23.55 | (481) e4 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 481 yields: % 57.85/23.55 | (397) e4 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (397) can reduce 49 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (1377) ~ (all_0_39_39 = e4) % 57.85/23.55 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.85/23.55 | % 57.85/23.55 | Equations (480) can reduce 1377 to: % 57.85/23.55 | (401) ~ (e4 = e0) % 57.85/23.55 | % 57.85/23.55 | Simplifying 401 yields: % 57.85/23.55 | (49) ~ (e4 = e0) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (441), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (1392) all_0_42_42 = e4 % 57.85/23.55 | % 57.85/23.55 | Equations (1392) can reduce 1890 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (1890) ~ (all_0_42_42 = e4) % 57.85/23.55 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (1891), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (396) all_0_43_43 = e4 % 57.85/23.55 | % 57.85/23.55 | Combining equations (396,356) yields a new equation: % 57.85/23.55 | (481) e4 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 481 yields: % 57.85/23.55 | (397) e4 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (397) can reduce 49 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (399) ~ (all_0_43_43 = e4) % 57.85/23.55 | (446) all_0_44_44 = e4 % 57.85/23.55 | % 57.85/23.55 | Combining equations (446,635) yields a new equation: % 57.85/23.55 | (636) e4 = e1 % 57.85/23.55 | % 57.85/23.55 | Simplifying 636 yields: % 57.85/23.55 | (630) e4 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (630) can reduce 110 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (639) ~ (all_0_44_44 = e1) % 57.85/23.55 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (1391), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (1414) all_0_44_44 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (1414) can reduce 360 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (360) ~ (all_0_44_44 = e0) % 57.85/23.55 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (1417), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (635) all_0_44_44 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (635) can reduce 639 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (639) ~ (all_0_44_44 = e1) % 57.85/23.55 | (532) all_0_44_44 = e3 % 57.85/23.55 | % 57.85/23.55 | Equations (532) can reduce 407 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (447) ~ (all_0_40_40 = e4) % 57.85/23.55 | (485) all_0_40_40 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (485) can reduce 1401 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (484) ~ (all_0_39_39 = e0) % 57.85/23.55 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (320), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (471) all_0_39_39 = e4 % 57.85/23.55 | % 57.85/23.55 | Equations (471) can reduce 176 to: % 57.85/23.55 | (7398) ~ (all_0_40_40 = e4) % 57.85/23.55 | % 57.85/23.55 | Simplifying 7398 yields: % 57.85/23.55 | (447) ~ (all_0_40_40 = e4) % 57.85/23.55 | % 57.85/23.55 | Equations (471) can reduce 145 to: % 57.85/23.55 | (1901) ~ (all_0_42_42 = e4) % 57.85/23.55 | % 57.85/23.55 | Simplifying 1901 yields: % 57.85/23.55 | (1890) ~ (all_0_42_42 = e4) % 57.85/23.55 | % 57.85/23.55 | Equations (471) can reduce 151 to: % 57.85/23.55 | (110) ~ (e4 = e1) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (558), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (559) all_0_42_42 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (559) can reduce 358 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (358) ~ (all_0_42_42 = e0) % 57.85/23.55 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (152), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (1392) all_0_42_42 = e4 % 57.85/23.55 | % 57.85/23.55 | Equations (1392) can reduce 1890 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (1890) ~ (all_0_42_42 = e4) % 57.85/23.55 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (563), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (674) all_0_47_47 = e0 % 57.85/23.55 | % 57.85/23.55 | Combining equations (674,1105) yields a new equation: % 57.85/23.55 | (330) e2 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (330) can reduce 128 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (678) ~ (all_0_47_47 = e0) % 57.85/23.55 | (679) all_0_56_56 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (679) can reduce 236 to: % 57.85/23.55 | (358) ~ (all_0_42_42 = e0) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (1969), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (559) all_0_42_42 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (559) can reduce 358 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (358) ~ (all_0_42_42 = e0) % 57.85/23.55 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (216), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (629) all_0_55_55 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (629,587) yields a new equation: % 57.85/23.55 | (630) e4 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (630) can reduce 110 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (632) ~ (all_0_55_55 = e1) % 57.85/23.55 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (2510), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (459) all_0_42_42 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (459) can reduce 51 to: % 57.85/23.55 | (604) ~ (e2 = e1) % 57.85/23.55 | % 57.85/23.55 | Simplifying 604 yields: % 57.85/23.55 | (122) ~ (e2 = e1) % 57.85/23.55 | % 57.85/23.55 | Equations (459) can reduce 358 to: % 57.85/23.55 | (233) ~ (e1 = e0) % 57.85/23.55 | % 57.85/23.55 | From (459) and (210) follows: % 57.85/23.55 | (470) op(e3, e2) = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (633), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (1569) all_0_56_56 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (1569,679) yields a new equation: % 57.85/23.55 | (546) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 546 yields: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (466) ~ (all_0_56_56 = e1) % 57.85/23.55 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (75), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (485) all_0_40_40 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (485) can reduce 178 to: % 57.85/23.55 | (490) ~ (all_0_58_58 = e0) % 57.85/23.55 | % 57.85/23.55 | Simplifying 490 yields: % 57.85/23.55 | (491) ~ (all_0_58_58 = e0) % 57.85/23.55 | % 57.85/23.55 | From (485) and (234) follows: % 57.85/23.55 | (3072) op(e4, e0) = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (1574), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (647) all_0_57_57 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (647,442) yields a new equation: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (617) can reduce 122 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (1670) ~ (all_0_57_57 = e1) % 57.85/23.55 | (918) all_0_58_58 = e1 % 57.85/23.55 | % 57.85/23.55 | Equations (918) can reduce 491 to: % 57.85/23.55 | (233) ~ (e1 = e0) % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (56), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (696) unit = e2 % 57.85/23.55 | % 57.85/23.55 | From (696) and (209) follows: % 57.85/23.55 | (7585) op(e2, e0) = e0 % 57.85/23.55 | % 57.85/23.55 | From (696) and (28) follows: % 57.85/23.55 | (699) op(e1, e2) = e1 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 57.85/23.55 | (676) e3 = e0 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 57.85/23.55 | (455) e3 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (676,455) yields a new equation: % 57.85/23.55 | (431) e1 = e0 % 57.85/23.55 | % 57.85/23.55 | Equations (431) can reduce 233 to: % 57.85/23.55 | (266) $false % 57.85/23.55 | % 57.85/23.55 |-The branch is then unsatisfiable % 57.85/23.55 |-Branch two: % 57.85/23.55 | (707) ~ (unit = e2) % 57.85/23.55 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.85/23.55 | % 57.85/23.55 +-Applying beta-rule and splitting (708), into two cases. % 57.85/23.55 |-Branch one: % 57.85/23.55 | (709) unit = e4 % 57.85/23.55 | % 57.85/23.55 | From (709) and (227) follows: % 57.85/23.55 | (710) op(e4, e4) = e4 % 57.85/23.55 | % 57.85/23.55 | From (709) and (40) follows: % 57.85/23.55 | (711) op(e3, e4) = e3 % 57.85/23.55 | % 57.85/23.55 | From (709) and (32) follows: % 57.85/23.55 | (712) op(e2, e4) = e2 % 57.85/23.55 | % 57.85/23.55 | From (709) and (42) follows: % 57.85/23.55 | (713) op(e0, e4) = e0 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.85/23.55 | (630) e4 = e1 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.85/23.55 | (662) e3 = e2 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.85/23.55 | (323) e4 = e2 % 57.85/23.55 | % 57.85/23.55 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.85/23.55 | (676) e3 = e0 % 57.85/23.55 | % 57.85/23.55 | Combining equations (323,630) yields a new equation: % 57.85/23.55 | (616) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Simplifying 616 yields: % 57.85/23.55 | (617) e2 = e1 % 57.85/23.55 | % 57.85/23.55 | Combining equations (662,676) yields a new equation: % 57.85/23.55 | (391) e2 = e0 % 57.85/23.55 | % 57.85/23.55 | Simplifying 391 yields: % 57.85/23.55 | (330) e2 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (330,617) yields a new equation: % 57.85/23.56 | (431) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (431) can reduce 233 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (724) ~ (unit = e4) % 57.85/23.56 | (725) unit = e3 | unit = e1 | unit = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (725), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (726) unit = e0 % 57.85/23.56 | % 57.85/23.56 | From (726) and (24) follows: % 57.85/23.56 | (2208) op(e0, e3) = e3 % 57.85/23.56 | % 57.85/23.56 | From (726) and (211) follows: % 57.85/23.56 | (15180) op(e0, e1) = e1 % 57.85/23.56 | % 57.85/23.56 | From (726) and (227) follows: % 57.85/23.56 | (3205) op(e4, e0) = e4 % 57.85/23.56 | % 57.85/23.56 | From (726) and (32) follows: % 57.85/23.56 | (727) op(e2, e0) = e2 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 57.85/23.56 | (397) e4 = e0 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 57.85/23.56 | (662) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 57.85/23.56 | (425) e4 = e3 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 57.85/23.56 | (617) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Combining equations (397,425) yields a new equation: % 57.85/23.56 | (676) e3 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (676,662) yields a new equation: % 57.85/23.56 | (330) e2 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (617,330) yields a new equation: % 57.85/23.56 | (546) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Simplifying 546 yields: % 57.85/23.56 | (431) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (431) can reduce 233 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (734) ~ (unit = e0) % 57.85/23.56 | (735) unit = e3 | unit = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (735), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (736) unit = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (736) can reduce 734 to: % 57.85/23.56 | (233) ~ (e1 = e0) % 57.85/23.56 | % 57.85/23.56 | From (736) and (24) follows: % 57.85/23.56 | (1934) op(e1, e3) = e3 % 57.85/23.56 | % 57.85/23.56 | From (736) and (15) follows: % 57.85/23.56 | (515) op(e1, e2) = e2 % 57.85/23.56 | % 57.85/23.56 | From (736) and (42) follows: % 57.85/23.56 | (3221) op(e0, e1) = e0 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.85/23.56 | (455) e3 = e1 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.85/23.56 | (662) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.85/23.56 | (330) e2 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (662,455) yields a new equation: % 57.85/23.56 | (616) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Simplifying 616 yields: % 57.85/23.56 | (617) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Combining equations (617,330) yields a new equation: % 57.85/23.56 | (546) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Simplifying 546 yields: % 57.85/23.56 | (431) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (431) can reduce 233 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (748) ~ (unit = e1) % 57.85/23.56 | (749) unit = e3 % 57.85/23.56 | % 57.85/23.56 | From (749) and (244) follows: % 57.85/23.56 | (750) op(e3, e4) = e4 % 57.85/23.56 | % 57.85/23.56 | From (749) and (15) follows: % 57.85/23.56 | (751) op(e3, e2) = e2 % 57.85/23.56 | % 57.85/23.56 | From (749) and (42) follows: % 57.85/23.56 | (752) op(e0, e3) = e0 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.85/23.56 | (323) e4 = e2 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e3, e2, e2, e1 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e1, yields: % 57.85/23.56 | (617) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 57.85/23.56 | (397) e4 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (397,323) yields a new equation: % 57.85/23.56 | (330) e2 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (330,617) yields a new equation: % 57.85/23.56 | (431) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (431) can reduce 233 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (1401) ~ (all_0_40_40 = e0) % 57.85/23.56 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (150), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (1378) all_0_40_40 = e4 % 57.85/23.56 | % 57.85/23.56 | Equations (1378) can reduce 447 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (447) ~ (all_0_40_40 = e4) % 57.85/23.56 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (316), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (1378) all_0_40_40 = e4 % 57.85/23.56 | % 57.85/23.56 | Equations (1378) can reduce 447 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (447) ~ (all_0_40_40 = e4) % 57.85/23.56 | (485) all_0_40_40 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (485) can reduce 1401 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (1380) ~ (all_0_42_42 = e1) % 57.85/23.56 | (516) all_0_42_42 = e3 % 57.85/23.56 | % 57.85/23.56 | Equations (516) can reduce 405 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (1377) ~ (all_0_39_39 = e4) % 57.85/23.56 | (480) all_0_39_39 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (480) can reduce 484 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (338) ~ (all_0_47_47 = e2) % 57.85/23.56 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (537), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (884) all_0_49_49 = e3 % 57.85/23.56 | % 57.85/23.56 | Equations (884) can reduce 340 to: % 57.85/23.56 | (212) ~ (e3 = e2) % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (10761), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (335) all_0_48_48 = e2 % 57.85/23.56 | % 57.85/23.56 | Combining equations (335,615) yields a new equation: % 57.85/23.56 | (616) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Simplifying 616 yields: % 57.85/23.56 | (617) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (617) can reduce 122 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (810) ~ (all_0_48_48 = e2) % 57.85/23.56 | (583) all_0_49_49 = e2 % 57.85/23.56 | % 57.85/23.56 | Combining equations (884,583) yields a new equation: % 57.85/23.56 | (661) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Simplifying 661 yields: % 57.85/23.56 | (662) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Equations (662) can reduce 212 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (525) ~ (all_0_49_49 = e3) % 57.85/23.56 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (887), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (665) all_0_53_53 = e3 % 57.85/23.56 | % 57.85/23.56 | Combining equations (665,607) yields a new equation: % 57.85/23.56 | (661) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Simplifying 661 yields: % 57.85/23.56 | (662) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Equations (662) can reduce 212 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (903) ~ (all_0_53_53 = e3) % 57.85/23.56 | (795) all_0_58_58 = e3 % 57.85/23.56 | % 57.85/23.56 | Equations (795) can reduce 276 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (509) ~ (all_0_53_53 = e2) % 57.85/23.56 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (610), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (1298) all_0_53_53 = e4 % 57.85/23.56 | % 57.85/23.56 | Equations (1298) can reduce 1453 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (1453) ~ (all_0_53_53 = e4) % 57.85/23.56 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (1694), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (1208) all_0_53_53 = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (1208) can reduce 1459 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (1459) ~ (all_0_53_53 = e1) % 57.85/23.56 | (665) all_0_53_53 = e3 % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 162 to: % 57.85/23.56 | (2) ~ (all_0_40_40 = e3) % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 220 to: % 57.85/23.56 | (407) ~ (all_0_44_44 = e3) % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 65 to: % 57.85/23.56 | (525) ~ (all_0_49_49 = e3) % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 10 to: % 57.85/23.56 | (275) ~ (all_0_58_58 = e3) % 57.85/23.56 | % 57.85/23.56 | Simplifying 275 yields: % 57.85/23.56 | (276) ~ (all_0_58_58 = e3) % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 1453 to: % 57.85/23.56 | (277) ~ (e4 = e3) % 57.85/23.56 | % 57.85/23.56 | Simplifying 277 yields: % 57.85/23.56 | (188) ~ (e4 = e3) % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 509 to: % 57.85/23.56 | (212) ~ (e3 = e2) % 57.85/23.56 | % 57.85/23.56 | Equations (665) can reduce 247 to: % 57.85/23.56 | (80) ~ (e3 = e0) % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (7), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (504) all_0_51_51 = e2 % 57.85/23.56 | % 57.85/23.56 | Equations (504) can reduce 139 to: % 57.85/23.56 | (294) ~ (all_0_39_39 = e2) % 57.85/23.56 | % 57.85/23.56 | Equations (504) can reduce 224 to: % 57.85/23.56 | (338) ~ (all_0_47_47 = e2) % 57.85/23.56 | % 57.85/23.56 | Equations (504) can reduce 464 to: % 57.85/23.56 | (122) ~ (e2 = e1) % 57.85/23.56 | % 57.85/23.56 | From (504) and (186) follows: % 57.85/23.56 | (515) op(e1, e2) = e2 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (10171), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (1105) all_0_47_47 = e2 % 57.85/23.56 | % 57.85/23.56 | Equations (1105) can reduce 338 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (338) ~ (all_0_47_47 = e2) % 57.85/23.56 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (10761), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (335) all_0_48_48 = e2 % 57.85/23.56 | % 57.85/23.56 | Combining equations (615,335) yields a new equation: % 57.85/23.56 | (617) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (617) can reduce 122 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (810) ~ (all_0_48_48 = e2) % 57.85/23.56 | (583) all_0_49_49 = e2 % 57.85/23.56 | % 57.85/23.56 | Equations (583) can reduce 200 to: % 57.85/23.56 | (296) ~ (all_0_40_40 = e2) % 57.85/23.56 | % 57.85/23.56 | Equations (583) can reduce 9 to: % 57.85/23.56 | (147) ~ (all_0_44_44 = e2) % 57.85/23.56 | % 57.85/23.56 | Equations (583) can reduce 119 to: % 57.85/23.56 | (1186) ~ (all_0_58_58 = e2) % 57.85/23.56 | % 57.85/23.56 | Simplifying 1186 yields: % 57.85/23.56 | (908) ~ (all_0_58_58 = e2) % 57.85/23.56 | % 57.85/23.56 | Equations (583) can reduce 525 to: % 57.85/23.56 | (626) ~ (e3 = e2) % 57.85/23.56 | % 57.85/23.56 | Simplifying 626 yields: % 57.85/23.56 | (212) ~ (e3 = e2) % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (180), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (516) all_0_42_42 = e3 % 57.85/23.56 | % 57.85/23.56 | Equations (516) can reduce 405 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (405) ~ (all_0_42_42 = e3) % 57.85/23.56 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (521), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (522) all_0_47_47 = e3 % 57.85/23.56 | % 57.85/23.56 | Equations (522) can reduce 462 to: % 57.85/23.56 | (213) ~ (e3 = e1) % 57.85/23.56 | % 57.85/23.56 | From (522) and (23) follows: % 57.85/23.56 | (531) op(e2, e2) = e3 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (103), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (453) all_0_41_41 = e1 % 57.85/23.56 | % 57.85/23.56 | Combining equations (453,403) yields a new equation: % 57.85/23.56 | (455) e3 = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (455) can reduce 213 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (457) ~ (all_0_41_41 = e1) % 57.85/23.56 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (216), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (629) all_0_55_55 = e1 % 57.85/23.56 | % 57.85/23.56 | Combining equations (587,629) yields a new equation: % 57.85/23.56 | (636) e4 = e1 % 57.85/23.56 | % 57.85/23.56 | Simplifying 636 yields: % 57.85/23.56 | (630) e4 = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (630) can reduce 110 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (632) ~ (all_0_55_55 = e1) % 57.85/23.56 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (75), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (485) all_0_40_40 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (485) can reduce 176 to: % 57.85/23.56 | (484) ~ (all_0_39_39 = e0) % 57.85/23.56 | % 57.85/23.56 | Equations (485) can reduce 2 to: % 57.85/23.56 | (541) ~ (e3 = e0) % 57.85/23.56 | % 57.85/23.56 | Simplifying 541 yields: % 57.85/23.56 | (80) ~ (e3 = e0) % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (104), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (480) all_0_39_39 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (480) can reduce 484 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (484) ~ (all_0_39_39 = e0) % 57.85/23.56 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (108), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (624) all_0_58_58 = e2 % 57.85/23.56 | % 57.85/23.56 | Equations (624) can reduce 908 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (908) ~ (all_0_58_58 = e2) % 57.85/23.56 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (125), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (858) all_0_55_55 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (587,858) yields a new equation: % 57.85/23.56 | (481) e4 = e0 % 57.85/23.56 | % 57.85/23.56 | Simplifying 481 yields: % 57.85/23.56 | (397) e4 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (397) can reduce 49 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (803) ~ (all_0_55_55 = e0) % 57.85/23.56 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (909), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (910) all_0_58_58 = e4 % 57.85/23.56 | % 57.85/23.56 | Equations (910) can reduce 451 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (451) ~ (all_0_58_58 = e4) % 57.85/23.56 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (558), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (559) all_0_42_42 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (559) can reduce 358 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (358) ~ (all_0_42_42 = e0) % 57.85/23.56 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (863), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (679) all_0_56_56 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (679) can reduce 44 to: % 57.85/23.56 | (490) ~ (all_0_58_58 = e0) % 57.85/23.56 | % 57.85/23.56 | Simplifying 490 yields: % 57.85/23.56 | (491) ~ (all_0_58_58 = e0) % 57.85/23.56 | % 57.85/23.56 | From (679) and (111) follows: % 57.85/23.56 | (1613) op(e0, e2) = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (131), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (459) all_0_42_42 = e1 % 57.85/23.56 | % 57.85/23.56 | From (459) and (210) follows: % 57.85/23.56 | (470) op(e3, e2) = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (913), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (914) all_0_58_58 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (914) can reduce 491 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (491) ~ (all_0_58_58 = e0) % 57.85/23.56 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (917), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (918) all_0_58_58 = e1 % 57.85/23.56 | % 57.85/23.56 | Equations (918) can reduce 491 to: % 57.85/23.56 | (233) ~ (e1 = e0) % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (56), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (696) unit = e2 % 57.85/23.56 | % 57.85/23.56 | From (696) and (24) follows: % 57.85/23.56 | (697) op(e2, e3) = e3 % 57.85/23.56 | % 57.85/23.56 | From (696) and (32) follows: % 57.85/23.56 | (698) op(e2, e2) = e2 % 57.85/23.56 | % 57.85/23.56 | From (696) and (28) follows: % 57.85/23.56 | (699) op(e1, e2) = e1 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 57.85/23.56 | (676) e3 = e0 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 57.85/23.56 | (662) e3 = e2 % 57.85/23.56 | % 57.85/23.56 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 57.85/23.56 | (617) e2 = e1 % 57.85/23.56 | % 57.85/23.56 | Combining equations (662,676) yields a new equation: % 57.85/23.56 | (391) e2 = e0 % 57.85/23.56 | % 57.85/23.56 | Simplifying 391 yields: % 57.85/23.56 | (330) e2 = e0 % 57.85/23.56 | % 57.85/23.56 | Combining equations (330,617) yields a new equation: % 57.85/23.56 | (431) e1 = e0 % 57.85/23.56 | % 57.85/23.56 | Equations (431) can reduce 233 to: % 57.85/23.56 | (266) $false % 57.85/23.56 | % 57.85/23.56 |-The branch is then unsatisfiable % 57.85/23.56 |-Branch two: % 57.85/23.56 | (707) ~ (unit = e2) % 57.85/23.56 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.85/23.56 | % 57.85/23.56 +-Applying beta-rule and splitting (708), into two cases. % 57.85/23.56 |-Branch one: % 57.85/23.56 | (709) unit = e4 % 57.85/23.56 | % 57.85/23.56 | From (709) and (227) follows: % 57.85/23.57 | (710) op(e4, e4) = e4 % 57.85/23.57 | % 57.85/23.57 | From (709) and (40) follows: % 57.85/23.57 | (711) op(e3, e4) = e3 % 57.85/23.57 | % 57.85/23.57 | From (709) and (32) follows: % 57.85/23.57 | (712) op(e2, e4) = e2 % 57.85/23.57 | % 57.85/23.57 | From (709) and (42) follows: % 57.85/23.57 | (713) op(e0, e4) = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.85/23.57 | (630) e4 = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.85/23.57 | (662) e3 = e2 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.85/23.57 | (323) e4 = e2 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.85/23.57 | (676) e3 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (323,630) yields a new equation: % 57.85/23.57 | (616) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Simplifying 616 yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Combining equations (662,676) yields a new equation: % 57.85/23.57 | (391) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Simplifying 391 yields: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (330,617) yields a new equation: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (724) ~ (unit = e4) % 57.85/23.57 | (725) unit = e3 | unit = e1 | unit = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (725), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (726) unit = e0 % 57.85/23.57 | % 57.85/23.57 | From (726) and (15) follows: % 57.85/23.57 | (1508) op(e0, e2) = e2 % 57.85/23.57 | % 57.85/23.57 | From (726) and (211) follows: % 57.85/23.57 | (15180) op(e0, e1) = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Combining equations (330,617) yields a new equation: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (734) ~ (unit = e0) % 57.85/23.57 | (735) unit = e3 | unit = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (735), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (736) unit = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (736) can reduce 734 to: % 57.85/23.57 | (233) ~ (e1 = e0) % 57.85/23.57 | % 57.85/23.57 | From (736) and (32) follows: % 57.85/23.57 | (347) op(e2, e1) = e2 % 57.85/23.57 | % 57.85/23.57 | From (736) and (42) follows: % 57.85/23.57 | (3221) op(e0, e1) = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (330,617) yields a new equation: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (748) ~ (unit = e1) % 57.85/23.57 | (749) unit = e3 % 57.85/23.57 | % 57.85/23.57 | From (749) and (244) follows: % 57.85/23.57 | (750) op(e3, e4) = e4 % 57.85/23.57 | % 57.85/23.57 | From (749) and (15) follows: % 57.85/23.57 | (751) op(e3, e2) = e2 % 57.85/23.57 | % 57.85/23.57 | From (749) and (42) follows: % 57.85/23.57 | (752) op(e0, e3) = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.85/23.57 | (323) e4 = e2 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e3, e2, e2, e1 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e1, yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 57.85/23.57 | (397) e4 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (397,323) yields a new equation: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (330,617) yields a new equation: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (880) ~ (all_0_58_58 = e1) % 57.85/23.57 | (795) all_0_58_58 = e3 % 57.85/23.57 | % 57.85/23.57 | Equations (795) can reduce 276 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (1380) ~ (all_0_42_42 = e1) % 57.85/23.57 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (913), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (914) all_0_58_58 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (914) can reduce 491 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (491) ~ (all_0_58_58 = e0) % 57.85/23.57 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (917), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (918) all_0_58_58 = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (918) can reduce 181 to: % 57.85/23.57 | (639) ~ (all_0_44_44 = e1) % 57.85/23.57 | % 57.85/23.57 | Equations (918) can reduce 491 to: % 57.85/23.57 | (233) ~ (e1 = e0) % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (458), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (459) all_0_42_42 = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (459) can reduce 1380 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (1380) ~ (all_0_42_42 = e1) % 57.85/23.57 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (1381), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (430) all_0_43_43 = e1 % 57.85/23.57 | % 57.85/23.57 | Combining equations (430,356) yields a new equation: % 57.85/23.57 | (546) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Simplifying 546 yields: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (433) ~ (all_0_43_43 = e1) % 57.85/23.57 | (635) all_0_44_44 = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (635) can reduce 639 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (880) ~ (all_0_58_58 = e1) % 57.85/23.57 | (795) all_0_58_58 = e3 % 57.85/23.57 | % 57.85/23.57 | Equations (795) can reduce 276 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (828) ~ (all_0_56_56 = e0) % 57.85/23.57 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (563), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (674) all_0_47_47 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (674,522) yields a new equation: % 57.85/23.57 | (676) e3 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (676) can reduce 80 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (678) ~ (all_0_47_47 = e0) % 57.85/23.57 | (679) all_0_56_56 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (679) can reduce 828 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (1401) ~ (all_0_40_40 = e0) % 57.85/23.57 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (316), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (1378) all_0_40_40 = e4 % 57.85/23.57 | % 57.85/23.57 | Equations (1378) can reduce 176 to: % 57.85/23.57 | (1377) ~ (all_0_39_39 = e4) % 57.85/23.57 | % 57.85/23.57 | Equations (1378) can reduce 143 to: % 57.85/23.57 | (1903) ~ (all_0_44_44 = e4) % 57.85/23.57 | % 57.85/23.57 | Simplifying 1903 yields: % 57.85/23.57 | (1390) ~ (all_0_44_44 = e4) % 57.85/23.57 | % 57.85/23.57 | Equations (1378) can reduce 2 to: % 57.85/23.57 | (188) ~ (e4 = e3) % 57.85/23.57 | % 57.85/23.57 | Equations (1378) can reduce 296 to: % 57.85/23.57 | (48) ~ (e4 = e2) % 57.85/23.57 | % 57.85/23.57 | Equations (1378) can reduce 1401 to: % 57.85/23.57 | (49) ~ (e4 = e0) % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (64), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (437) all_0_41_41 = e4 % 57.85/23.57 | % 57.85/23.57 | Combining equations (437,403) yields a new equation: % 57.85/23.57 | (424) e4 = e3 % 57.85/23.57 | % 57.85/23.57 | Simplifying 424 yields: % 57.85/23.57 | (425) e4 = e3 % 57.85/23.57 | % 57.85/23.57 | Equations (425) can reduce 188 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (440) ~ (all_0_41_41 = e4) % 57.85/23.57 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 57.85/23.57 | % 57.85/23.57 | Equations (403) can reduce 440 to: % 57.85/23.57 | (277) ~ (e4 = e3) % 57.85/23.57 | % 57.85/23.57 | Simplifying 277 yields: % 57.85/23.57 | (188) ~ (e4 = e3) % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (26), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (446) all_0_44_44 = e4 % 57.85/23.57 | % 57.85/23.57 | Equations (446) can reduce 1390 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (1390) ~ (all_0_44_44 = e4) % 57.85/23.57 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (441), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (1392) all_0_42_42 = e4 % 57.85/23.57 | % 57.85/23.57 | Equations (1392) can reduce 145 to: % 57.85/23.57 | (1377) ~ (all_0_39_39 = e4) % 57.85/23.57 | % 57.85/23.57 | Equations (1392) can reduce 358 to: % 57.85/23.57 | (49) ~ (e4 = e0) % 57.85/23.57 | % 57.85/23.57 | From (1392) and (210) follows: % 57.85/23.57 | (4074) op(e3, e2) = e4 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (333), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (480) all_0_39_39 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (480) can reduce 154 to: % 57.85/23.57 | (1181) ~ (all_0_56_56 = e0) % 57.85/23.57 | % 57.85/23.57 | Simplifying 1181 yields: % 57.85/23.57 | (828) ~ (all_0_56_56 = e0) % 57.85/23.57 | % 57.85/23.57 | Equations (480) can reduce 1377 to: % 57.85/23.57 | (401) ~ (e4 = e0) % 57.85/23.57 | % 57.85/23.57 | Simplifying 401 yields: % 57.85/23.57 | (49) ~ (e4 = e0) % 57.85/23.57 | % 57.85/23.57 | Equations (480) can reduce 294 to: % 57.85/23.57 | (365) ~ (e2 = e0) % 57.85/23.57 | % 57.85/23.57 | Simplifying 365 yields: % 57.85/23.57 | (128) ~ (e2 = e0) % 57.85/23.57 | % 57.85/23.57 | From (480) and (14) follows: % 57.85/23.57 | (4090) op(e4, e2) = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (125), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (858) all_0_55_55 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (858,587) yields a new equation: % 57.85/23.57 | (397) e4 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (397) can reduce 49 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (803) ~ (all_0_55_55 = e0) % 57.85/23.57 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (863), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (679) all_0_56_56 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (679) can reduce 828 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (828) ~ (all_0_56_56 = e0) % 57.85/23.57 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (112), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (635) all_0_44_44 = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (635) can reduce 181 to: % 57.85/23.57 | (879) ~ (all_0_58_58 = e1) % 57.85/23.57 | % 57.85/23.57 | Simplifying 879 yields: % 57.85/23.57 | (880) ~ (all_0_58_58 = e1) % 57.85/23.57 | % 57.85/23.57 | Equations (635) can reduce 147 to: % 57.85/23.57 | (604) ~ (e2 = e1) % 57.85/23.57 | % 57.85/23.57 | Simplifying 604 yields: % 57.85/23.57 | (122) ~ (e2 = e1) % 57.85/23.57 | % 57.85/23.57 | From (635) and (138) follows: % 57.85/23.57 | (1423) op(e3, e0) = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (924), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (875) all_0_57_57 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (875,442) yields a new equation: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (330) can reduce 128 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (364) ~ (all_0_57_57 = e0) % 57.85/23.57 | (914) all_0_58_58 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (914) can reduce 880 to: % 57.85/23.57 | (435) ~ (e1 = e0) % 57.85/23.57 | % 57.85/23.57 | Simplifying 435 yields: % 57.85/23.57 | (233) ~ (e1 = e0) % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (56), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (696) unit = e2 % 57.85/23.57 | % 57.85/23.57 | From (696) and (227) follows: % 57.85/23.57 | (4284) op(e4, e2) = e4 % 57.85/23.57 | % 57.85/23.57 | From (696) and (40) follows: % 57.85/23.57 | (4285) op(e3, e2) = e3 % 57.85/23.57 | % 57.85/23.57 | From (696) and (32) follows: % 57.85/23.57 | (698) op(e2, e2) = e2 % 57.85/23.57 | % 57.85/23.57 | From (696) and (28) follows: % 57.85/23.57 | (699) op(e1, e2) = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 57.85/23.57 | (397) e4 = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 57.85/23.57 | (425) e4 = e3 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 57.85/23.57 | (662) e3 = e2 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Combining equations (397,425) yields a new equation: % 57.85/23.57 | (676) e3 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (676,662) yields a new equation: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (617,330) yields a new equation: % 57.85/23.57 | (546) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Simplifying 546 yields: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (707) ~ (unit = e2) % 57.85/23.57 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (708), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (709) unit = e4 % 57.85/23.57 | % 57.85/23.57 | From (709) and (227) follows: % 57.85/23.57 | (710) op(e4, e4) = e4 % 57.85/23.57 | % 57.85/23.57 | From (709) and (40) follows: % 57.85/23.57 | (711) op(e3, e4) = e3 % 57.85/23.57 | % 57.85/23.57 | From (709) and (32) follows: % 57.85/23.57 | (712) op(e2, e4) = e2 % 57.85/23.57 | % 57.85/23.57 | From (709) and (42) follows: % 57.85/23.57 | (713) op(e0, e4) = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.85/23.57 | (630) e4 = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.85/23.57 | (662) e3 = e2 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.85/23.57 | (323) e4 = e2 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.85/23.57 | (676) e3 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (630,323) yields a new equation: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Combining equations (662,676) yields a new equation: % 57.85/23.57 | (391) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Simplifying 391 yields: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (617,330) yields a new equation: % 57.85/23.57 | (546) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Simplifying 546 yields: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (724) ~ (unit = e4) % 57.85/23.57 | (725) unit = e3 | unit = e1 | unit = e0 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (725), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (726) unit = e0 % 57.85/23.57 | % 57.85/23.57 | From (726) and (211) follows: % 57.85/23.57 | (15180) op(e0, e1) = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (617) can reduce 122 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (734) ~ (unit = e0) % 57.85/23.57 | (735) unit = e3 | unit = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (735), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.57 | (736) unit = e1 % 57.85/23.57 | % 57.85/23.57 | Equations (736) can reduce 734 to: % 57.85/23.57 | (233) ~ (e1 = e0) % 57.85/23.57 | % 57.85/23.57 | From (736) and (32) follows: % 57.85/23.57 | (347) op(e2, e1) = e2 % 57.85/23.57 | % 57.85/23.57 | From (736) and (42) follows: % 57.85/23.57 | (3221) op(e0, e1) = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 57.85/23.57 | (617) e2 = e1 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.85/23.57 | (330) e2 = e0 % 57.85/23.57 | % 57.85/23.57 | Combining equations (330,617) yields a new equation: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (748) ~ (unit = e1) % 57.85/23.57 | (749) unit = e3 % 57.85/23.57 | % 57.85/23.57 | From (749) and (209) follows: % 57.85/23.57 | (1667) op(e3, e0) = e0 % 57.85/23.57 | % 57.85/23.57 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 57.85/23.57 | (431) e1 = e0 % 57.85/23.57 | % 57.85/23.57 | Equations (431) can reduce 233 to: % 57.85/23.57 | (266) $false % 57.85/23.57 | % 57.85/23.57 |-The branch is then unsatisfiable % 57.85/23.57 |-Branch two: % 57.85/23.57 | (639) ~ (all_0_44_44 = e1) % 57.85/23.57 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.85/23.57 | % 57.85/23.57 +-Applying beta-rule and splitting (1391), into two cases. % 57.85/23.57 |-Branch one: % 57.85/23.58 | (1414) all_0_44_44 = e0 % 57.85/23.58 | % 57.85/23.58 | Equations (1414) can reduce 360 to: % 57.85/23.58 | (266) $false % 57.85/23.58 | % 57.85/23.58 |-The branch is then unsatisfiable % 57.85/23.58 |-Branch two: % 57.85/23.58 | (360) ~ (all_0_44_44 = e0) % 57.85/23.58 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.85/23.58 | % 57.85/23.58 +-Applying beta-rule and splitting (1417), into two cases. % 57.85/23.58 |-Branch one: % 57.85/23.58 | (635) all_0_44_44 = e1 % 57.85/23.58 | % 57.85/23.58 | Equations (635) can reduce 639 to: % 57.85/23.58 | (266) $false % 57.85/23.58 | % 57.85/23.58 |-The branch is then unsatisfiable % 57.85/23.58 |-Branch two: % 57.85/23.58 | (639) ~ (all_0_44_44 = e1) % 57.85/23.58 | (532) all_0_44_44 = e3 % 57.85/23.58 | % 57.85/23.58 | Equations (532) can reduce 407 to: % 57.85/23.58 | (266) $false % 57.85/23.58 | % 57.85/23.58 |-The branch is then unsatisfiable % 57.85/23.58 |-Branch two: % 57.85/23.58 | (484) ~ (all_0_39_39 = e0) % 57.85/23.58 | (485) all_0_40_40 = e0 % 57.85/23.58 | % 57.85/23.58 | Combining equations (485,1378) yields a new equation: % 57.85/23.58 | (397) e4 = e0 % 57.85/23.58 | % 57.85/23.58 | Equations (397) can reduce 49 to: % 57.85/23.58 | (266) $false % 57.85/23.58 | % 57.85/23.58 |-The branch is then unsatisfiable % 57.85/23.58 |-Branch two: % 57.85/23.58 | (1890) ~ (all_0_42_42 = e4) % 57.85/23.58 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 57.85/23.58 | % 57.85/23.58 +-Applying beta-rule and splitting (152), into two cases. % 57.85/23.58 |-Branch one: % 57.85/23.58 | (1392) all_0_42_42 = e4 % 57.85/23.58 | % 57.85/23.58 | Equations (1392) can reduce 1890 to: % 57.85/23.58 | (266) $false % 57.85/23.58 | % 57.85/23.58 |-The branch is then unsatisfiable % 57.85/23.58 |-Branch two: % 57.85/23.58 | (1890) ~ (all_0_42_42 = e4) % 57.85/23.58 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.85/23.58 | % 57.85/23.58 +-Applying beta-rule and splitting (1391), into two cases. % 57.85/23.58 |-Branch one: % 57.85/23.58 | (1414) all_0_44_44 = e0 % 57.85/23.58 | % 57.85/23.58 | Equations (1414) can reduce 360 to: % 57.85/23.58 | (266) $false % 57.85/23.58 | % 57.85/23.58 |-The branch is then unsatisfiable % 57.85/23.58 |-Branch two: % 57.85/23.58 | (360) ~ (all_0_44_44 = e0) % 57.85/23.58 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.85/23.58 | % 57.85/23.58 +-Applying beta-rule and splitting (333), into two cases. % 57.85/23.58 |-Branch one: % 57.85/23.58 | (480) all_0_39_39 = e0 % 57.85/23.58 | % 57.85/23.58 | Equations (480) can reduce 1377 to: % 57.85/23.58 | (401) ~ (e4 = e0) % 57.85/23.58 | % 57.85/23.58 | Simplifying 401 yields: % 57.85/23.58 | (49) ~ (e4 = e0) % 57.85/23.58 | % 57.85/23.58 +-Applying beta-rule and splitting (164), into two cases. % 57.85/23.58 |-Branch one: % 57.85/23.58 | (471) all_0_39_39 = e4 % 57.85/23.58 | % 57.91/23.58 | Combining equations (471,480) yields a new equation: % 57.91/23.58 | (481) e4 = e0 % 57.91/23.58 | % 57.91/23.58 | Simplifying 481 yields: % 57.91/23.58 | (397) e4 = e0 % 57.91/23.58 | % 57.91/23.58 | Equations (397) can reduce 49 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1377) ~ (all_0_39_39 = e4) % 57.91/23.58 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (1417), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (635) all_0_44_44 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (635) can reduce 181 to: % 57.91/23.58 | (879) ~ (all_0_58_58 = e1) % 57.91/23.58 | % 57.91/23.58 | Simplifying 879 yields: % 57.91/23.58 | (880) ~ (all_0_58_58 = e1) % 57.91/23.58 | % 57.91/23.58 | Equations (635) can reduce 147 to: % 57.91/23.58 | (604) ~ (e2 = e1) % 57.91/23.58 | % 57.91/23.58 | Simplifying 604 yields: % 57.91/23.58 | (122) ~ (e2 = e1) % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (633), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1569) all_0_56_56 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (1569) can reduce 477 to: % 57.91/23.58 | (602) ~ (e4 = e1) % 57.91/23.58 | % 57.91/23.58 | Simplifying 602 yields: % 57.91/23.58 | (110) ~ (e4 = e1) % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (2115), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1392) all_0_42_42 = e4 % 57.91/23.58 | % 57.91/23.58 | Equations (1392) can reduce 1890 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1890) ~ (all_0_42_42 = e4) % 57.91/23.58 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (2246), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1790) all_0_47_47 = e4 % 57.91/23.58 | % 57.91/23.58 | Combining equations (522,1790) yields a new equation: % 57.91/23.58 | (425) e4 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (425) can reduce 188 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (252) ~ (all_0_47_47 = e4) % 57.91/23.58 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (6548), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1101) all_0_51_51 = e4 % 57.91/23.58 | % 57.91/23.58 | Combining equations (504,1101) yields a new equation: % 57.91/23.58 | (323) e4 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (323) can reduce 48 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (475) ~ (all_0_51_51 = e4) % 57.91/23.58 | (842) all_0_56_56 = e4 % 57.91/23.58 | % 57.91/23.58 | Combining equations (842,1569) yields a new equation: % 57.91/23.58 | (636) e4 = e1 % 57.91/23.58 | % 57.91/23.58 | Simplifying 636 yields: % 57.91/23.58 | (630) e4 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (630) can reduce 110 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (466) ~ (all_0_56_56 = e1) % 57.91/23.58 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (1574), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (647) all_0_57_57 = e1 % 57.91/23.58 | % 57.91/23.58 | Combining equations (442,647) yields a new equation: % 57.91/23.58 | (616) e2 = e1 % 57.91/23.58 | % 57.91/23.58 | Simplifying 616 yields: % 57.91/23.58 | (617) e2 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (617) can reduce 122 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1670) ~ (all_0_57_57 = e1) % 57.91/23.58 | (918) all_0_58_58 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (918) can reduce 880 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (639) ~ (all_0_44_44 = e1) % 57.91/23.58 | (532) all_0_44_44 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (532) can reduce 407 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (484) ~ (all_0_39_39 = e0) % 57.91/23.58 | (485) all_0_40_40 = e0 % 57.91/23.58 | % 57.91/23.58 | Combining equations (485,1378) yields a new equation: % 57.91/23.58 | (397) e4 = e0 % 57.91/23.58 | % 57.91/23.58 | Equations (397) can reduce 49 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (447) ~ (all_0_40_40 = e4) % 57.91/23.58 | (485) all_0_40_40 = e0 % 57.91/23.58 | % 57.91/23.58 | Equations (485) can reduce 1401 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1091) ~ (all_0_47_47 = e3) % 57.91/23.58 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (1092), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (660) all_0_51_51 = e3 % 57.91/23.58 | % 57.91/23.58 | Combining equations (504,660) yields a new equation: % 57.91/23.58 | (662) e3 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (662) can reduce 212 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (664) ~ (all_0_51_51 = e3) % 57.91/23.58 | (1097) all_0_56_56 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (1097) can reduce 272 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.58 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (78), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (423) all_0_45_45 = e3 % 57.91/23.58 | % 57.91/23.58 | Combining equations (248,423) yields a new equation: % 57.91/23.58 | (424) e4 = e3 % 57.91/23.58 | % 57.91/23.58 | Simplifying 424 yields: % 57.91/23.58 | (425) e4 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (425) can reduce 188 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (427) ~ (all_0_45_45 = e3) % 57.91/23.58 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (428), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1557) all_0_46_46 = e3 % 57.91/23.58 | % 57.91/23.58 | Combining equations (1557,538) yields a new equation: % 57.91/23.58 | (675) e3 = e0 % 57.91/23.58 | % 57.91/23.58 | Simplifying 675 yields: % 57.91/23.58 | (676) e3 = e0 % 57.91/23.58 | % 57.91/23.58 | Equations (676) can reduce 80 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (409) ~ (all_0_46_46 = e3) % 57.91/23.58 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (1561), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (522) all_0_47_47 = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (381), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (504) all_0_51_51 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (504) can reduce 1099 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.58 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (385), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1105) all_0_47_47 = e2 % 57.91/23.58 | % 57.91/23.58 | Combining equations (522,1105) yields a new equation: % 57.91/23.58 | (661) e3 = e2 % 57.91/23.58 | % 57.91/23.58 | Simplifying 661 yields: % 57.91/23.58 | (662) e3 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (662) can reduce 212 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (338) ~ (all_0_47_47 = e2) % 57.91/23.58 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (522) can reduce 338 to: % 57.91/23.58 | (212) ~ (e3 = e2) % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (10171), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (1105) all_0_47_47 = e2 % 57.91/23.58 | % 57.91/23.58 | Combining equations (522,1105) yields a new equation: % 57.91/23.58 | (661) e3 = e2 % 57.91/23.58 | % 57.91/23.58 | Simplifying 661 yields: % 57.91/23.58 | (662) e3 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (662) can reduce 212 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (338) ~ (all_0_47_47 = e2) % 57.91/23.58 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (522) can reduce 338 to: % 57.91/23.58 | (212) ~ (e3 = e2) % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (1152), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (352) all_0_52_52 = e2 % 57.91/23.58 | % 57.91/23.58 | Combining equations (565,352) yields a new equation: % 57.91/23.58 | (322) e4 = e2 % 57.91/23.58 | % 57.91/23.58 | Simplifying 322 yields: % 57.91/23.58 | (323) e4 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (323) can reduce 48 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (342) ~ (all_0_52_52 = e2) % 57.91/23.58 | (607) all_0_53_53 = e2 % 57.91/23.58 | % 57.91/23.58 | Combining equations (607,665) yields a new equation: % 57.91/23.58 | (662) e3 = e2 % 57.91/23.58 | % 57.91/23.58 | Equations (662) can reduce 212 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1091) ~ (all_0_47_47 = e3) % 57.91/23.58 | (884) all_0_49_49 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (884) can reduce 525 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (831) ~ (all_0_46_46 = e0) % 57.91/23.58 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (1838), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (545) all_0_46_46 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (545) can reduce 549 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (549) ~ (all_0_46_46 = e1) % 57.91/23.58 | (1557) all_0_46_46 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (1557) can reduce 409 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (759) ~ (all_0_50_50 = e1) % 57.91/23.58 | (415) all_0_50_50 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (415) can reduce 411 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1898) ~ (all_0_41_41 = e3) % 57.91/23.58 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (27), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (437) all_0_41_41 = e4 % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 214 to: % 57.91/23.58 | (1901) ~ (all_0_42_42 = e4) % 57.91/23.58 | % 57.91/23.58 | Simplifying 1901 yields: % 57.91/23.58 | (1890) ~ (all_0_42_42 = e4) % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 149 to: % 57.91/23.58 | (1903) ~ (all_0_44_44 = e4) % 57.91/23.58 | % 57.91/23.58 | Simplifying 1903 yields: % 57.91/23.58 | (1390) ~ (all_0_44_44 = e4) % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 43 to: % 57.91/23.58 | (249) ~ (all_0_46_46 = e4) % 57.91/23.58 | % 57.91/23.58 | Simplifying 249 yields: % 57.91/23.58 | (250) ~ (all_0_46_46 = e4) % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 221 to: % 57.91/23.58 | (1907) ~ (all_0_50_50 = e4) % 57.91/23.58 | % 57.91/23.58 | Simplifying 1907 yields: % 57.91/23.58 | (566) ~ (all_0_50_50 = e4) % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 191 to: % 57.91/23.58 | (1909) ~ (all_0_55_55 = e4) % 57.91/23.58 | % 57.91/23.58 | Simplifying 1909 yields: % 57.91/23.58 | (763) ~ (all_0_55_55 = e4) % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 1898 to: % 57.91/23.58 | (188) ~ (e4 = e3) % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 357 to: % 57.91/23.58 | (49) ~ (e4 = e0) % 57.91/23.58 | % 57.91/23.58 | From (437) and (219) follows: % 57.91/23.58 | (1913) op(e3, e3) = e4 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (18), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (453) all_0_41_41 = e1 % 57.91/23.58 | % 57.91/23.58 | Combining equations (437,453) yields a new equation: % 57.91/23.58 | (636) e4 = e1 % 57.91/23.58 | % 57.91/23.58 | Simplifying 636 yields: % 57.91/23.58 | (630) e4 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (630) can reduce 110 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (457) ~ (all_0_41_41 = e1) % 57.91/23.58 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (437) can reduce 457 to: % 57.91/23.58 | (110) ~ (e4 = e1) % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (144), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (403) all_0_41_41 = e3 % 57.91/23.58 | % 57.91/23.58 | Combining equations (437,403) yields a new equation: % 57.91/23.58 | (424) e4 = e3 % 57.91/23.58 | % 57.91/23.58 | Simplifying 424 yields: % 57.91/23.58 | (425) e4 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (425) can reduce 188 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1898) ~ (all_0_41_41 = e3) % 57.91/23.58 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (26), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (446) all_0_44_44 = e4 % 57.91/23.58 | % 57.91/23.58 | Equations (446) can reduce 1390 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (1390) ~ (all_0_44_44 = e4) % 57.91/23.58 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (103), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (453) all_0_41_41 = e1 % 57.91/23.58 | % 57.91/23.58 | Combining equations (437,453) yields a new equation: % 57.91/23.58 | (636) e4 = e1 % 57.91/23.58 | % 57.91/23.58 | Simplifying 636 yields: % 57.91/23.58 | (630) e4 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (630) can reduce 110 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.58 | (457) ~ (all_0_41_41 = e1) % 57.91/23.58 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (168), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (415) all_0_50_50 = e3 % 57.91/23.58 | % 57.91/23.58 | Equations (415) can reduce 93 to: % 57.91/23.58 | (269) ~ (all_0_55_55 = e3) % 57.91/23.58 | % 57.91/23.58 | Simplifying 269 yields: % 57.91/23.58 | (270) ~ (all_0_55_55 = e3) % 57.91/23.58 | % 57.91/23.58 | From (415) and (8) follows: % 57.91/23.58 | (5694) op(e3, e3) = all_0_23_23 % 57.91/23.58 | % 57.91/23.58 | From (415) and (242) follows: % 57.91/23.58 | (1934) op(e1, e3) = e3 % 57.91/23.58 | % 57.91/23.58 +-Applying beta-rule and splitting (595), into two cases. % 57.91/23.58 |-Branch one: % 57.91/23.58 | (545) all_0_46_46 = e1 % 57.91/23.58 | % 57.91/23.58 | Equations (545) can reduce 549 to: % 57.91/23.58 | (266) $false % 57.91/23.58 | % 57.91/23.58 |-The branch is then unsatisfiable % 57.91/23.58 |-Branch two: % 57.91/23.59 | (549) ~ (all_0_46_46 = e1) % 57.91/23.59 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (600), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (601) all_0_50_50 = e1 % 57.91/23.59 | % 57.91/23.59 | Combining equations (601,415) yields a new equation: % 57.91/23.59 | (455) e3 = e1 % 57.91/23.59 | % 57.91/23.59 | Equations (455) can reduce 213 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (759) ~ (all_0_50_50 = e1) % 57.91/23.59 | (629) all_0_55_55 = e1 % 57.91/23.59 | % 57.91/23.59 | Equations (629) can reduce 153 to: % 57.91/23.59 | (465) ~ (all_0_56_56 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 465 yields: % 57.91/23.59 | (466) ~ (all_0_56_56 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (629) can reduce 3 to: % 57.91/23.59 | (879) ~ (all_0_58_58 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 879 yields: % 57.91/23.59 | (880) ~ (all_0_58_58 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (629) can reduce 763 to: % 57.91/23.59 | (602) ~ (e4 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 602 yields: % 57.91/23.59 | (110) ~ (e4 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (629) can reduce 270 to: % 57.91/23.59 | (467) ~ (e3 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 467 yields: % 57.91/23.59 | (213) ~ (e3 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (629) can reduce 304 to: % 57.91/23.59 | (604) ~ (e2 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 604 yields: % 57.91/23.59 | (122) ~ (e2 = e1) % 57.91/23.59 | % 57.91/23.59 | From (629) and (187) follows: % 57.91/23.59 | (15046) op(e1, e3) = all_0_32_32 % 57.91/23.59 | % 57.91/23.59 | From (629) and (74) follows: % 57.91/23.59 | (6587) op(e0, e3) = e1 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (395), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (794) all_0_41_41 = e0 % 57.91/23.59 | % 57.91/23.59 | Combining equations (437,794) yields a new equation: % 57.91/23.59 | (481) e4 = e0 % 57.91/23.59 | % 57.91/23.59 | Simplifying 481 yields: % 57.91/23.59 | (397) e4 = e0 % 57.91/23.59 | % 57.91/23.59 | Equations (397) can reduce 49 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (357) ~ (all_0_41_41 = e0) % 57.91/23.59 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (895), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (538) all_0_46_46 = e0 % 57.91/23.59 | % 57.91/23.59 | Equations (538) can reduce 19 to: % 57.91/23.59 | (1402) ~ (all_0_47_47 = e0) % 57.91/23.59 | % 57.91/23.59 | Simplifying 1402 yields: % 57.91/23.59 | (678) ~ (all_0_47_47 = e0) % 57.91/23.59 | % 57.91/23.59 | Equations (538) can reduce 208 to: % 57.91/23.59 | (486) ~ (all_0_49_49 = e0) % 57.91/23.59 | % 57.91/23.59 | Simplifying 486 yields: % 57.91/23.59 | (487) ~ (all_0_49_49 = e0) % 57.91/23.59 | % 57.91/23.59 | Equations (538) can reduce 250 to: % 57.91/23.59 | (401) ~ (e4 = e0) % 57.91/23.59 | % 57.91/23.59 | Simplifying 401 yields: % 57.91/23.59 | (49) ~ (e4 = e0) % 57.91/23.59 | % 57.91/23.59 | From (538) and (33) follows: % 57.91/23.59 | (543) op(e0, e3) = all_0_16_16 % 57.91/23.59 | % 57.91/23.59 | From (538) and (179) follows: % 57.91/23.59 | (1544) op(e0, e2) = all_0_15_15 % 57.91/23.59 | % 57.91/23.59 | From (538) and (120) follows: % 57.91/23.59 | (544) op(e2, e3) = e0 % 57.91/23.59 | % 57.91/23.59 | Instantiating formula (29) with e3, e3, all_0_23_23, e4 and discharging atoms op(e3, e3) = all_0_23_23, op(e3, e3) = e4, yields: % 57.91/23.59 | (17647) all_0_23_23 = e4 % 57.91/23.59 | % 57.91/23.59 | Instantiating formula (29) with e1, e3, e3, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = e3, yields: % 57.91/23.59 | (17648) all_0_32_32 = e3 % 57.91/23.59 | % 57.91/23.59 | Instantiating formula (29) with e0, e3, e1, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e1, yields: % 57.91/23.59 | (17649) all_0_16_16 = e1 % 57.91/23.59 | % 57.91/23.59 | Instantiating formula (29) with e0, e2, all_0_15_15, all_0_56_56 and discharging atoms op(e0, e2) = all_0_15_15, op(e0, e2) = all_0_56_56, yields: % 57.91/23.59 | (16712) all_0_15_15 = all_0_56_56 % 57.91/23.59 | % 57.91/23.59 | From (17647) and (5694) follows: % 57.91/23.59 | (1913) op(e3, e3) = e4 % 57.91/23.59 | % 57.91/23.59 | From (17648) and (15046) follows: % 57.91/23.59 | (1934) op(e1, e3) = e3 % 57.91/23.59 | % 57.91/23.59 | From (17649) and (543) follows: % 57.91/23.59 | (6587) op(e0, e3) = e1 % 57.91/23.59 | % 57.91/23.59 | From (16712) and (1544) follows: % 57.91/23.59 | (111) op(e0, e2) = all_0_56_56 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (196), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (607) all_0_53_53 = e2 % 57.91/23.59 | % 57.91/23.59 | Equations (607) can reduce 162 to: % 57.91/23.59 | (296) ~ (all_0_40_40 = e2) % 57.91/23.59 | % 57.91/23.59 | Equations (607) can reduce 6 to: % 57.91/23.59 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.59 | % 57.91/23.59 | Equations (607) can reduce 10 to: % 57.91/23.59 | (1186) ~ (all_0_58_58 = e2) % 57.91/23.59 | % 57.91/23.59 | Simplifying 1186 yields: % 57.91/23.59 | (908) ~ (all_0_58_58 = e2) % 57.91/23.59 | % 57.91/23.59 | From (607) and (175) follows: % 57.91/23.59 | (1556) op(e2, e0) = all_0_28_28 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (7), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (504) all_0_51_51 = e2 % 57.91/23.59 | % 57.91/23.59 | Equations (504) can reduce 1099 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.59 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (385), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (1105) all_0_47_47 = e2 % 57.91/23.59 | % 57.91/23.59 | Equations (1105) can reduce 79 to: % 57.91/23.59 | (294) ~ (all_0_39_39 = e2) % 57.91/23.59 | % 57.91/23.59 | Equations (1105) can reduce 198 to: % 57.91/23.59 | (51) ~ (all_0_42_42 = e2) % 57.91/23.59 | % 57.91/23.59 | Equations (1105) can reduce 224 to: % 57.91/23.59 | (17668) ~ (all_0_51_51 = e2) % 57.91/23.59 | % 57.91/23.59 | Simplifying 17668 yields: % 57.91/23.59 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.59 | % 57.91/23.59 | Equations (1105) can reduce 462 to: % 57.91/23.59 | (122) ~ (e2 = e1) % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (180), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (516) all_0_42_42 = e3 % 57.91/23.59 | % 57.91/23.59 | Equations (516) can reduce 61 to: % 57.91/23.59 | (1925) ~ (all_0_51_51 = e3) % 57.91/23.59 | % 57.91/23.59 | Simplifying 1925 yields: % 57.91/23.59 | (664) ~ (all_0_51_51 = e3) % 57.91/23.59 | % 57.91/23.59 | Equations (516) can reduce 236 to: % 57.91/23.59 | (271) ~ (all_0_56_56 = e3) % 57.91/23.59 | % 57.91/23.59 | Simplifying 271 yields: % 57.91/23.59 | (272) ~ (all_0_56_56 = e3) % 57.91/23.59 | % 57.91/23.59 | Equations (516) can reduce 1890 to: % 57.91/23.59 | (277) ~ (e4 = e3) % 57.91/23.59 | % 57.91/23.59 | Simplifying 277 yields: % 57.91/23.59 | (188) ~ (e4 = e3) % 57.91/23.59 | % 57.91/23.59 | Equations (516) can reduce 51 to: % 57.91/23.59 | (212) ~ (e3 = e2) % 57.91/23.59 | % 57.91/23.59 | Equations (516) can reduce 358 to: % 57.91/23.59 | (80) ~ (e3 = e0) % 57.91/23.59 | % 57.91/23.59 | From (516) and (226) follows: % 57.91/23.59 | (5629) op(e3, e3) = all_0_7_7 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (1100), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (1101) all_0_51_51 = e4 % 57.91/23.59 | % 57.91/23.59 | Equations (1101) can reduce 475 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (475) ~ (all_0_51_51 = e4) % 57.91/23.59 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (112), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (635) all_0_44_44 = e1 % 57.91/23.59 | % 57.91/23.59 | Equations (635) can reduce 143 to: % 57.91/23.59 | (132) ~ (all_0_40_40 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (635) can reduce 181 to: % 57.91/23.59 | (879) ~ (all_0_58_58 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 879 yields: % 57.91/23.59 | (880) ~ (all_0_58_58 = e1) % 57.91/23.59 | % 57.91/23.59 | From (635) and (204) follows: % 57.91/23.59 | (17689) op(e1, e3) = all_0_11_11 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (1104), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (1109) all_0_51_51 = e1 % 57.91/23.59 | % 57.91/23.59 | Equations (1109) can reduce 16 to: % 57.91/23.59 | (465) ~ (all_0_56_56 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 465 yields: % 57.91/23.59 | (466) ~ (all_0_56_56 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (1109) can reduce 1099 to: % 57.91/23.59 | (604) ~ (e2 = e1) % 57.91/23.59 | % 57.91/23.59 | Simplifying 604 yields: % 57.91/23.59 | (122) ~ (e2 = e1) % 57.91/23.59 | % 57.91/23.59 | Equations (1109) can reduce 115 to: % 57.91/23.59 | (233) ~ (e1 = e0) % 57.91/23.59 | % 57.91/23.59 | From (1109) and (177) follows: % 57.91/23.59 | (4211) op(e1, e2) = all_0_25_25 % 57.91/23.59 | % 57.91/23.59 | From (1109) and (186) follows: % 57.91/23.59 | (699) op(e1, e2) = e1 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (78), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (423) all_0_45_45 = e3 % 57.91/23.59 | % 57.91/23.59 | Combining equations (248,423) yields a new equation: % 57.91/23.59 | (424) e4 = e3 % 57.91/23.59 | % 57.91/23.59 | Simplifying 424 yields: % 57.91/23.59 | (425) e4 = e3 % 57.91/23.59 | % 57.91/23.59 | Equations (425) can reduce 188 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (427) ~ (all_0_45_45 = e3) % 57.91/23.59 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (428), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (1557) all_0_46_46 = e3 % 57.91/23.59 | % 57.91/23.59 | Combining equations (538,1557) yields a new equation: % 57.91/23.59 | (676) e3 = e0 % 57.91/23.59 | % 57.91/23.59 | Equations (676) can reduce 80 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (409) ~ (all_0_46_46 = e3) % 57.91/23.59 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.91/23.59 | % 57.91/23.59 +-Applying beta-rule and splitting (1561), into two cases. % 57.91/23.59 |-Branch one: % 57.91/23.59 | (522) all_0_47_47 = e3 % 57.91/23.59 | % 57.91/23.59 | Combining equations (522,1105) yields a new equation: % 57.91/23.59 | (661) e3 = e2 % 57.91/23.59 | % 57.91/23.59 | Simplifying 661 yields: % 57.91/23.59 | (662) e3 = e2 % 57.91/23.59 | % 57.91/23.59 | Equations (662) can reduce 212 to: % 57.91/23.59 | (266) $false % 57.91/23.59 | % 57.91/23.59 |-The branch is then unsatisfiable % 57.91/23.59 |-Branch two: % 57.91/23.59 | (1091) ~ (all_0_47_47 = e3) % 57.91/23.59 | (884) all_0_49_49 = e3 % 57.91/23.59 | % 57.91/23.59 | Equations (884) can reduce 200 to: % 57.91/23.59 | (2) ~ (all_0_40_40 = e3) % 57.91/23.60 | % 57.91/23.60 | Equations (884) can reduce 119 to: % 57.91/23.60 | (275) ~ (all_0_58_58 = e3) % 57.91/23.60 | % 57.91/23.60 | Simplifying 275 yields: % 57.91/23.60 | (276) ~ (all_0_58_58 = e3) % 57.91/23.60 | % 57.91/23.60 | From (884) and (55) follows: % 57.91/23.60 | (1581) op(e2, e0) = e3 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e3, e3, all_0_7_7, e4 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = e4, yields: % 57.91/23.60 | (15433) all_0_7_7 = e4 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e2, e0, e3, all_0_28_28 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = e3, yields: % 57.91/23.60 | (1592) all_0_28_28 = e3 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e1, e3, all_0_11_11, e3 and discharging atoms op(e1, e3) = all_0_11_11, op(e1, e3) = e3, yields: % 57.91/23.60 | (17721) all_0_11_11 = e3 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e1, e2, e1, all_0_25_25 and discharging atoms op(e1, e2) = all_0_25_25, op(e1, e2) = e1, yields: % 57.91/23.60 | (4271) all_0_25_25 = e1 % 57.91/23.60 | % 57.91/23.60 | From (15433) and (5629) follows: % 57.91/23.60 | (1913) op(e3, e3) = e4 % 57.91/23.60 | % 57.91/23.60 | From (1592) and (1556) follows: % 57.91/23.60 | (1581) op(e2, e0) = e3 % 57.91/23.60 | % 57.91/23.60 | From (17721) and (17689) follows: % 57.91/23.60 | (1934) op(e1, e3) = e3 % 57.91/23.60 | % 57.91/23.60 | From (4271) and (4211) follows: % 57.91/23.60 | (699) op(e1, e2) = e1 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (125), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (858) all_0_55_55 = e0 % 57.91/23.60 | % 57.91/23.60 | Combining equations (629,858) yields a new equation: % 57.91/23.60 | (546) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Simplifying 546 yields: % 57.91/23.60 | (431) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (431) can reduce 233 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (803) ~ (all_0_55_55 = e0) % 57.91/23.60 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (104), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (480) all_0_39_39 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (480) can reduce 154 to: % 57.91/23.60 | (1181) ~ (all_0_56_56 = e0) % 57.91/23.60 | % 57.91/23.60 | Simplifying 1181 yields: % 57.91/23.60 | (828) ~ (all_0_56_56 = e0) % 57.91/23.60 | % 57.91/23.60 | Equations (480) can reduce 294 to: % 57.91/23.60 | (365) ~ (e2 = e0) % 57.91/23.60 | % 57.91/23.60 | Simplifying 365 yields: % 57.91/23.60 | (128) ~ (e2 = e0) % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (164), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (471) all_0_39_39 = e4 % 57.91/23.60 | % 57.91/23.60 | Combining equations (471,480) yields a new equation: % 57.91/23.60 | (481) e4 = e0 % 57.91/23.60 | % 57.91/23.60 | Simplifying 481 yields: % 57.91/23.60 | (397) e4 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (397) can reduce 49 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (1377) ~ (all_0_39_39 = e4) % 57.91/23.60 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (863), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (679) all_0_56_56 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (679) can reduce 828 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (828) ~ (all_0_56_56 = e0) % 57.91/23.60 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (924), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (875) all_0_57_57 = e0 % 57.91/23.60 | % 57.91/23.60 | Combining equations (875,442) yields a new equation: % 57.91/23.60 | (330) e2 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (330) can reduce 128 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (364) ~ (all_0_57_57 = e0) % 57.91/23.60 | (914) all_0_58_58 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (914) can reduce 178 to: % 57.91/23.60 | (1401) ~ (all_0_40_40 = e0) % 57.91/23.60 | % 57.91/23.60 | Equations (914) can reduce 276 to: % 57.91/23.60 | (541) ~ (e3 = e0) % 57.91/23.60 | % 57.91/23.60 | Simplifying 541 yields: % 57.91/23.60 | (80) ~ (e3 = e0) % 57.91/23.60 | % 57.91/23.60 | Equations (914) can reduce 880 to: % 57.91/23.60 | (435) ~ (e1 = e0) % 57.91/23.60 | % 57.91/23.60 | Simplifying 435 yields: % 57.91/23.60 | (233) ~ (e1 = e0) % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (150), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (1378) all_0_40_40 = e4 % 57.91/23.60 | % 57.91/23.60 | Equations (1378) can reduce 2 to: % 57.91/23.60 | (188) ~ (e4 = e3) % 57.91/23.60 | % 57.91/23.60 | Equations (1378) can reduce 296 to: % 57.91/23.60 | (48) ~ (e4 = e2) % 57.91/23.60 | % 57.91/23.60 | Equations (1378) can reduce 132 to: % 57.91/23.60 | (110) ~ (e4 = e1) % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (171), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (265) all_0_54_54 = e4 % 57.91/23.60 | % 57.91/23.60 | Combining equations (268,265) yields a new equation: % 57.91/23.60 | (425) e4 = e3 % 57.91/23.60 | % 57.91/23.60 | Equations (425) can reduce 188 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (258) ~ (all_0_54_54 = e4) % 57.91/23.60 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.91/23.60 | % 57.91/23.60 | Equations (268) can reduce 258 to: % 57.91/23.60 | (277) ~ (e4 = e3) % 57.91/23.60 | % 57.91/23.60 | Simplifying 277 yields: % 57.91/23.60 | (188) ~ (e4 = e3) % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (2115), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (1392) all_0_42_42 = e4 % 57.91/23.60 | % 57.91/23.60 | Combining equations (1392,516) yields a new equation: % 57.91/23.60 | (424) e4 = e3 % 57.91/23.60 | % 57.91/23.60 | Simplifying 424 yields: % 57.91/23.60 | (425) e4 = e3 % 57.91/23.60 | % 57.91/23.60 | Equations (425) can reduce 188 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (1890) ~ (all_0_42_42 = e4) % 57.91/23.60 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (2246), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (1790) all_0_47_47 = e4 % 57.91/23.60 | % 57.91/23.60 | Combining equations (1790,1105) yields a new equation: % 57.91/23.60 | (322) e4 = e2 % 57.91/23.60 | % 57.91/23.60 | Simplifying 322 yields: % 57.91/23.60 | (323) e4 = e2 % 57.91/23.60 | % 57.91/23.60 | Equations (323) can reduce 48 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (252) ~ (all_0_47_47 = e4) % 57.91/23.60 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (6548), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (1101) all_0_51_51 = e4 % 57.91/23.60 | % 57.91/23.60 | Combining equations (1109,1101) yields a new equation: % 57.91/23.60 | (630) e4 = e1 % 57.91/23.60 | % 57.91/23.60 | Equations (630) can reduce 110 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (475) ~ (all_0_51_51 = e4) % 57.91/23.60 | (842) all_0_56_56 = e4 % 57.91/23.60 | % 57.91/23.60 | From (842) and (111) follows: % 57.91/23.60 | (2154) op(e0, e2) = e4 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (56), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (696) unit = e2 % 57.91/23.60 | % 57.91/23.60 | From (696) and (209) follows: % 57.91/23.60 | (7585) op(e2, e0) = e0 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 57.91/23.60 | (676) e3 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (676) can reduce 80 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (707) ~ (unit = e2) % 57.91/23.60 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (708), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (709) unit = e4 % 57.91/23.60 | % 57.91/23.60 | From (709) and (227) follows: % 57.91/23.60 | (710) op(e4, e4) = e4 % 57.91/23.60 | % 57.91/23.60 | From (709) and (40) follows: % 57.91/23.60 | (711) op(e3, e4) = e3 % 57.91/23.60 | % 57.91/23.60 | From (709) and (32) follows: % 57.91/23.60 | (712) op(e2, e4) = e2 % 57.91/23.60 | % 57.91/23.60 | From (709) and (42) follows: % 57.91/23.60 | (713) op(e0, e4) = e0 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.91/23.60 | (630) e4 = e1 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.91/23.60 | (662) e3 = e2 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.91/23.60 | (323) e4 = e2 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.91/23.60 | (676) e3 = e0 % 57.91/23.60 | % 57.91/23.60 | Combining equations (630,323) yields a new equation: % 57.91/23.60 | (617) e2 = e1 % 57.91/23.60 | % 57.91/23.60 | Combining equations (662,676) yields a new equation: % 57.91/23.60 | (391) e2 = e0 % 57.91/23.60 | % 57.91/23.60 | Simplifying 391 yields: % 57.91/23.60 | (330) e2 = e0 % 57.91/23.60 | % 57.91/23.60 | Combining equations (617,330) yields a new equation: % 57.91/23.60 | (546) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Simplifying 546 yields: % 57.91/23.60 | (431) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (431) can reduce 233 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (724) ~ (unit = e4) % 57.91/23.60 | (725) unit = e3 | unit = e1 | unit = e0 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (725), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (726) unit = e0 % 57.91/23.60 | % 57.91/23.60 | From (726) and (244) follows: % 57.91/23.60 | (2207) op(e0, e4) = e4 % 57.91/23.60 | % 57.91/23.60 | From (726) and (24) follows: % 57.91/23.60 | (2208) op(e0, e3) = e3 % 57.91/23.60 | % 57.91/23.60 | From (726) and (15) follows: % 57.91/23.60 | (1508) op(e0, e2) = e2 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.91/23.60 | (425) e4 = e3 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 57.91/23.60 | (455) e3 = e1 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 57.91/23.60 | (323) e4 = e2 % 57.91/23.60 | % 57.91/23.60 | Combining equations (425,323) yields a new equation: % 57.91/23.60 | (661) e3 = e2 % 57.91/23.60 | % 57.91/23.60 | Simplifying 661 yields: % 57.91/23.60 | (662) e3 = e2 % 57.91/23.60 | % 57.91/23.60 | Combining equations (455,662) yields a new equation: % 57.91/23.60 | (617) e2 = e1 % 57.91/23.60 | % 57.91/23.60 | Equations (617) can reduce 122 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (734) ~ (unit = e0) % 57.91/23.60 | (735) unit = e3 | unit = e1 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (735), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (736) unit = e1 % 57.91/23.60 | % 57.91/23.60 | Equations (736) can reduce 734 to: % 57.91/23.60 | (233) ~ (e1 = e0) % 57.91/23.60 | % 57.91/23.60 | From (736) and (15) follows: % 57.91/23.60 | (515) op(e1, e2) = e2 % 57.91/23.60 | % 57.91/23.60 | From (736) and (42) follows: % 57.91/23.60 | (3221) op(e0, e1) = e0 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 57.91/23.60 | (617) e2 = e1 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.91/23.60 | (330) e2 = e0 % 57.91/23.60 | % 57.91/23.60 | Combining equations (617,330) yields a new equation: % 57.91/23.60 | (546) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Simplifying 546 yields: % 57.91/23.60 | (431) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (431) can reduce 233 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (748) ~ (unit = e1) % 57.91/23.60 | (749) unit = e3 % 57.91/23.60 | % 57.91/23.60 | From (749) and (244) follows: % 57.91/23.60 | (750) op(e3, e4) = e4 % 57.91/23.60 | % 57.91/23.60 | From (749) and (40) follows: % 57.91/23.60 | (3715) op(e3, e3) = e3 % 57.91/23.60 | % 57.91/23.60 | From (749) and (32) follows: % 57.91/23.60 | (5793) op(e2, e3) = e2 % 57.91/23.60 | % 57.91/23.60 | From (749) and (28) follows: % 57.91/23.60 | (2235) op(e1, e3) = e1 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.91/23.60 | (323) e4 = e2 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.91/23.60 | (425) e4 = e3 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 57.91/23.60 | (330) e2 = e0 % 57.91/23.60 | % 57.91/23.60 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.91/23.60 | (455) e3 = e1 % 57.91/23.60 | % 57.91/23.60 | Combining equations (323,425) yields a new equation: % 57.91/23.60 | (662) e3 = e2 % 57.91/23.60 | % 57.91/23.60 | Combining equations (662,455) yields a new equation: % 57.91/23.60 | (616) e2 = e1 % 57.91/23.60 | % 57.91/23.60 | Simplifying 616 yields: % 57.91/23.60 | (617) e2 = e1 % 57.91/23.60 | % 57.91/23.60 | Combining equations (617,330) yields a new equation: % 57.91/23.60 | (546) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Simplifying 546 yields: % 57.91/23.60 | (431) e1 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (431) can reduce 233 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (447) ~ (all_0_40_40 = e4) % 57.91/23.60 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (316), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (1378) all_0_40_40 = e4 % 57.91/23.60 | % 57.91/23.60 | Equations (1378) can reduce 447 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (447) ~ (all_0_40_40 = e4) % 57.91/23.60 | (485) all_0_40_40 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (485) can reduce 1401 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (484) ~ (all_0_39_39 = e0) % 57.91/23.60 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (333), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (480) all_0_39_39 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (480) can reduce 484 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (484) ~ (all_0_39_39 = e0) % 57.91/23.60 | (485) all_0_40_40 = e0 % 57.91/23.60 | % 57.91/23.60 | Equations (485) can reduce 176 to: % 57.91/23.60 | (484) ~ (all_0_39_39 = e0) % 57.91/23.60 | % 57.91/23.60 | Equations (485) can reduce 2 to: % 57.91/23.60 | (541) ~ (e3 = e0) % 57.91/23.60 | % 57.91/23.60 | Simplifying 541 yields: % 57.91/23.60 | (80) ~ (e3 = e0) % 57.91/23.60 | % 57.91/23.60 | Equations (485) can reduce 296 to: % 57.91/23.60 | (365) ~ (e2 = e0) % 57.91/23.60 | % 57.91/23.60 | Simplifying 365 yields: % 57.91/23.60 | (128) ~ (e2 = e0) % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (108), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.60 | (624) all_0_58_58 = e2 % 57.91/23.60 | % 57.91/23.60 | Equations (624) can reduce 908 to: % 57.91/23.60 | (266) $false % 57.91/23.60 | % 57.91/23.60 |-The branch is then unsatisfiable % 57.91/23.60 |-Branch two: % 57.91/23.60 | (908) ~ (all_0_58_58 = e2) % 57.91/23.60 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.91/23.60 | % 57.91/23.60 +-Applying beta-rule and splitting (558), into two cases. % 57.91/23.60 |-Branch one: % 57.91/23.61 | (559) all_0_42_42 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (559,516) yields a new equation: % 57.91/23.61 | (676) e3 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (676) can reduce 80 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (358) ~ (all_0_42_42 = e0) % 57.91/23.61 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (909), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (910) all_0_58_58 = e4 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (164), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (471) all_0_39_39 = e4 % 57.91/23.61 | % 57.91/23.61 | Equations (471) can reduce 484 to: % 57.91/23.61 | (49) ~ (e4 = e0) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (863), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (679) all_0_56_56 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (679) can reduce 272 to: % 57.91/23.61 | (541) ~ (e3 = e0) % 57.91/23.61 | % 57.91/23.61 | Simplifying 541 yields: % 57.91/23.61 | (80) ~ (e3 = e0) % 57.91/23.61 | % 57.91/23.61 | Equations (679) can reduce 466 to: % 57.91/23.61 | (435) ~ (e1 = e0) % 57.91/23.61 | % 57.91/23.61 | Simplifying 435 yields: % 57.91/23.61 | (233) ~ (e1 = e0) % 57.91/23.61 | % 57.91/23.61 | From (679) and (111) follows: % 57.91/23.61 | (1613) op(e0, e2) = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (56), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (696) unit = e2 % 57.91/23.61 | % 57.91/23.61 | From (696) and (209) follows: % 57.91/23.61 | (7585) op(e2, e0) = e0 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 57.91/23.61 | (676) e3 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (676) can reduce 80 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (707) ~ (unit = e2) % 57.91/23.61 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (708), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (709) unit = e4 % 57.91/23.61 | % 57.91/23.61 | From (709) and (227) follows: % 57.91/23.61 | (710) op(e4, e4) = e4 % 57.91/23.61 | % 57.91/23.61 | From (709) and (40) follows: % 57.91/23.61 | (711) op(e3, e4) = e3 % 57.91/23.61 | % 57.91/23.61 | From (709) and (32) follows: % 57.91/23.61 | (712) op(e2, e4) = e2 % 57.91/23.61 | % 57.91/23.61 | From (709) and (42) follows: % 57.91/23.61 | (713) op(e0, e4) = e0 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.91/23.61 | (630) e4 = e1 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.91/23.61 | (662) e3 = e2 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.91/23.61 | (323) e4 = e2 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.91/23.61 | (676) e3 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (323,630) yields a new equation: % 57.91/23.61 | (616) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 616 yields: % 57.91/23.61 | (617) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (662,676) yields a new equation: % 57.91/23.61 | (391) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Simplifying 391 yields: % 57.91/23.61 | (330) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (330,617) yields a new equation: % 57.91/23.61 | (431) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (431) can reduce 233 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (724) ~ (unit = e4) % 57.91/23.61 | (725) unit = e3 | unit = e1 | unit = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (725), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (726) unit = e0 % 57.91/23.61 | % 57.91/23.61 | From (726) and (24) follows: % 57.91/23.61 | (2208) op(e0, e3) = e3 % 57.91/23.61 | % 57.91/23.61 | From (726) and (15) follows: % 57.91/23.61 | (1508) op(e0, e2) = e2 % 57.91/23.61 | % 57.91/23.61 | From (726) and (32) follows: % 57.91/23.61 | (727) op(e2, e0) = e2 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 57.91/23.61 | (662) e3 = e2 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.91/23.61 | (330) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (662,455) yields a new equation: % 57.91/23.61 | (616) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 616 yields: % 57.91/23.61 | (617) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (617,330) yields a new equation: % 57.91/23.61 | (546) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Simplifying 546 yields: % 57.91/23.61 | (431) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (431) can reduce 233 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (734) ~ (unit = e0) % 57.91/23.61 | (735) unit = e3 | unit = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (735), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (736) unit = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (736) can reduce 734 to: % 57.91/23.61 | (233) ~ (e1 = e0) % 57.91/23.61 | % 57.91/23.61 | From (736) and (15) follows: % 57.91/23.61 | (515) op(e1, e2) = e2 % 57.91/23.61 | % 57.91/23.61 | From (736) and (42) follows: % 57.91/23.61 | (3221) op(e0, e1) = e0 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 57.91/23.61 | (617) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.91/23.61 | (330) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (617,330) yields a new equation: % 57.91/23.61 | (546) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Simplifying 546 yields: % 57.91/23.61 | (431) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (431) can reduce 233 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (748) ~ (unit = e1) % 57.91/23.61 | (749) unit = e3 % 57.91/23.61 | % 57.91/23.61 | From (749) and (244) follows: % 57.91/23.61 | (750) op(e3, e4) = e4 % 57.91/23.61 | % 57.91/23.61 | From (749) and (40) follows: % 57.91/23.61 | (3715) op(e3, e3) = e3 % 57.91/23.61 | % 57.91/23.61 | From (749) and (32) follows: % 57.91/23.61 | (5793) op(e2, e3) = e2 % 57.91/23.61 | % 57.91/23.61 | From (749) and (28) follows: % 57.91/23.61 | (2235) op(e1, e3) = e1 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.91/23.61 | (323) e4 = e2 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.91/23.61 | (425) e4 = e3 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 57.91/23.61 | (330) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (323,425) yields a new equation: % 57.91/23.61 | (662) e3 = e2 % 57.91/23.61 | % 57.91/23.61 | Combining equations (662,455) yields a new equation: % 57.91/23.61 | (616) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 616 yields: % 57.91/23.61 | (617) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (617,330) yields a new equation: % 57.91/23.61 | (546) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Simplifying 546 yields: % 57.91/23.61 | (431) e1 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (431) can reduce 233 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (828) ~ (all_0_56_56 = e0) % 57.91/23.61 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (924), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (875) all_0_57_57 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (875,442) yields a new equation: % 57.91/23.61 | (330) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (330) can reduce 128 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (364) ~ (all_0_57_57 = e0) % 57.91/23.61 | (914) all_0_58_58 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (910,914) yields a new equation: % 57.91/23.61 | (481) e4 = e0 % 57.91/23.61 | % 57.91/23.61 | Simplifying 481 yields: % 57.91/23.61 | (397) e4 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (397) can reduce 49 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1377) ~ (all_0_39_39 = e4) % 57.91/23.61 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (320), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (471) all_0_39_39 = e4 % 57.91/23.61 | % 57.91/23.61 | Equations (471) can reduce 1377 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1377) ~ (all_0_39_39 = e4) % 57.91/23.61 | (480) all_0_39_39 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (480) can reduce 484 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (451) ~ (all_0_58_58 = e4) % 57.91/23.61 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (563), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (674) all_0_47_47 = e0 % 57.91/23.61 | % 57.91/23.61 | Combining equations (674,1105) yields a new equation: % 57.91/23.61 | (330) e2 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (330) can reduce 128 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (678) ~ (all_0_47_47 = e0) % 57.91/23.61 | (679) all_0_56_56 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (679) can reduce 44 to: % 57.91/23.61 | (490) ~ (all_0_58_58 = e0) % 57.91/23.61 | % 57.91/23.61 | Simplifying 490 yields: % 57.91/23.61 | (491) ~ (all_0_58_58 = e0) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (913), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (914) all_0_58_58 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (914) can reduce 491 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (491) ~ (all_0_58_58 = e0) % 57.91/23.61 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (917), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (918) all_0_58_58 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (918) can reduce 880 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (880) ~ (all_0_58_58 = e1) % 57.91/23.61 | (795) all_0_58_58 = e3 % 57.91/23.61 | % 57.91/23.61 | Equations (795) can reduce 276 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (464) ~ (all_0_51_51 = e1) % 57.91/23.61 | (660) all_0_51_51 = e3 % 57.91/23.61 | % 57.91/23.61 | Equations (660) can reduce 664 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (639) ~ (all_0_44_44 = e1) % 57.91/23.61 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (131), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (459) all_0_42_42 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (516,459) yields a new equation: % 57.91/23.61 | (454) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 454 yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (455) can reduce 213 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1380) ~ (all_0_42_42 = e1) % 57.91/23.61 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (516) can reduce 1380 to: % 57.91/23.61 | (213) ~ (e3 = e1) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (78), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (423) all_0_45_45 = e3 % 57.91/23.61 | % 57.91/23.61 | Combining equations (248,423) yields a new equation: % 57.91/23.61 | (424) e4 = e3 % 57.91/23.61 | % 57.91/23.61 | Simplifying 424 yields: % 57.91/23.61 | (425) e4 = e3 % 57.91/23.61 | % 57.91/23.61 | Equations (425) can reduce 188 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (427) ~ (all_0_45_45 = e3) % 57.91/23.61 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (160), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (601) all_0_50_50 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (415,601) yields a new equation: % 57.91/23.61 | (454) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 454 yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (455) can reduce 213 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (759) ~ (all_0_50_50 = e1) % 57.91/23.61 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (1168), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (1109) all_0_51_51 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (1109) can reduce 1099 to: % 57.91/23.61 | (604) ~ (e2 = e1) % 57.91/23.61 | % 57.91/23.61 | Simplifying 604 yields: % 57.91/23.61 | (122) ~ (e2 = e1) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (428), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (1557) all_0_46_46 = e3 % 57.91/23.61 | % 57.91/23.61 | Combining equations (538,1557) yields a new equation: % 57.91/23.61 | (676) e3 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (676) can reduce 80 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (409) ~ (all_0_46_46 = e3) % 57.91/23.61 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (1561), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (522) all_0_47_47 = e3 % 57.91/23.61 | % 57.91/23.61 | Combining equations (1105,522) yields a new equation: % 57.91/23.61 | (662) e3 = e2 % 57.91/23.61 | % 57.91/23.61 | Equations (662) can reduce 212 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1091) ~ (all_0_47_47 = e3) % 57.91/23.61 | (884) all_0_49_49 = e3 % 57.91/23.61 | % 57.91/23.61 | Equations (884) can reduce 1064 to: % 57.91/23.61 | (213) ~ (e3 = e1) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (458), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (459) all_0_42_42 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (516,459) yields a new equation: % 57.91/23.61 | (454) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 454 yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (455) can reduce 213 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1380) ~ (all_0_42_42 = e1) % 57.91/23.61 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (516) can reduce 1380 to: % 57.91/23.61 | (213) ~ (e3 = e1) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (640), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (671) all_0_49_49 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (884,671) yields a new equation: % 57.91/23.61 | (454) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 454 yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (455) can reduce 213 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1064) ~ (all_0_49_49 = e1) % 57.91/23.61 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (2141), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (1208) all_0_53_53 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (607,1208) yields a new equation: % 57.91/23.61 | (616) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 616 yields: % 57.91/23.61 | (617) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (617) can reduce 122 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1459) ~ (all_0_53_53 = e1) % 57.91/23.61 | (918) all_0_58_58 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (918) can reduce 880 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (464) ~ (all_0_51_51 = e1) % 57.91/23.61 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (1202), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (642) all_0_52_52 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (642,565) yields a new equation: % 57.91/23.61 | (630) e4 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (630) can reduce 110 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (646) ~ (all_0_52_52 = e1) % 57.91/23.61 | (1208) all_0_53_53 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (607,1208) yields a new equation: % 57.91/23.61 | (616) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 616 yields: % 57.91/23.61 | (617) e2 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (617) can reduce 122 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (405) ~ (all_0_42_42 = e3) % 57.91/23.61 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (152), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (1392) all_0_42_42 = e4 % 57.91/23.61 | % 57.91/23.61 | Equations (1392) can reduce 1890 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1890) ~ (all_0_42_42 = e4) % 57.91/23.61 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (160), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (601) all_0_50_50 = e1 % 57.91/23.61 | % 57.91/23.61 | Combining equations (415,601) yields a new equation: % 57.91/23.61 | (454) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Simplifying 454 yields: % 57.91/23.61 | (455) e3 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (455) can reduce 213 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (759) ~ (all_0_50_50 = e1) % 57.91/23.61 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (1969), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (559) all_0_42_42 = e0 % 57.91/23.61 | % 57.91/23.61 | Equations (559) can reduce 358 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (358) ~ (all_0_42_42 = e0) % 57.91/23.61 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (1168), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (1109) all_0_51_51 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (1109) can reduce 61 to: % 57.91/23.61 | (1380) ~ (all_0_42_42 = e1) % 57.91/23.61 | % 57.91/23.61 +-Applying beta-rule and splitting (2510), into two cases. % 57.91/23.61 |-Branch one: % 57.91/23.61 | (459) all_0_42_42 = e1 % 57.91/23.61 | % 57.91/23.61 | Equations (459) can reduce 1380 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (1380) ~ (all_0_42_42 = e1) % 57.91/23.61 | (516) all_0_42_42 = e3 % 57.91/23.61 | % 57.91/23.61 | Equations (516) can reduce 405 to: % 57.91/23.61 | (266) $false % 57.91/23.61 | % 57.91/23.61 |-The branch is then unsatisfiable % 57.91/23.61 |-Branch two: % 57.91/23.61 | (464) ~ (all_0_51_51 = e1) % 57.91/23.62 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (131), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (459) all_0_42_42 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (459) can reduce 1890 to: % 57.91/23.62 | (602) ~ (e4 = e1) % 57.91/23.62 | % 57.91/23.62 | Simplifying 602 yields: % 57.91/23.62 | (110) ~ (e4 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (459) can reduce 51 to: % 57.91/23.62 | (604) ~ (e2 = e1) % 57.91/23.62 | % 57.91/23.62 | Simplifying 604 yields: % 57.91/23.62 | (122) ~ (e2 = e1) % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (1202), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (642) all_0_52_52 = e1 % 57.91/23.62 | % 57.91/23.62 | Combining equations (565,642) yields a new equation: % 57.91/23.62 | (636) e4 = e1 % 57.91/23.62 | % 57.91/23.62 | Simplifying 636 yields: % 57.91/23.62 | (630) e4 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (630) can reduce 110 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (646) ~ (all_0_52_52 = e1) % 57.91/23.62 | (1208) all_0_53_53 = e1 % 57.91/23.62 | % 57.91/23.62 | Combining equations (607,1208) yields a new equation: % 57.91/23.62 | (616) e2 = e1 % 57.91/23.62 | % 57.91/23.62 | Simplifying 616 yields: % 57.91/23.62 | (617) e2 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (617) can reduce 122 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (1380) ~ (all_0_42_42 = e1) % 57.91/23.62 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (3259), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (654) all_0_47_47 = e1 % 57.91/23.62 | % 57.91/23.62 | Combining equations (1105,654) yields a new equation: % 57.91/23.62 | (616) e2 = e1 % 57.91/23.62 | % 57.91/23.62 | Simplifying 616 yields: % 57.91/23.62 | (617) e2 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (617) can reduce 122 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (462) ~ (all_0_47_47 = e1) % 57.91/23.62 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (1105) can reduce 462 to: % 57.91/23.62 | (122) ~ (e2 = e1) % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (1202), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (642) all_0_52_52 = e1 % 57.91/23.62 | % 57.91/23.62 | Combining equations (565,642) yields a new equation: % 57.91/23.62 | (636) e4 = e1 % 57.91/23.62 | % 57.91/23.62 | Simplifying 636 yields: % 57.91/23.62 | (630) e4 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (630) can reduce 110 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (646) ~ (all_0_52_52 = e1) % 57.91/23.62 | (1208) all_0_53_53 = e1 % 57.91/23.62 | % 57.91/23.62 | Combining equations (607,1208) yields a new equation: % 57.91/23.62 | (616) e2 = e1 % 57.91/23.62 | % 57.91/23.62 | Simplifying 616 yields: % 57.91/23.62 | (617) e2 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (617) can reduce 122 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (338) ~ (all_0_47_47 = e2) % 57.91/23.62 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (1108), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (504) all_0_51_51 = e2 % 57.91/23.62 | % 57.91/23.62 | Equations (504) can reduce 1099 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.62 | (833) all_0_56_56 = e2 % 57.91/23.62 | % 57.91/23.62 | Equations (833) can reduce 511 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (509) ~ (all_0_53_53 = e2) % 57.91/23.62 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (381), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (504) all_0_51_51 = e2 % 57.91/23.62 | % 57.91/23.62 | Equations (504) can reduce 139 to: % 57.91/23.62 | (294) ~ (all_0_39_39 = e2) % 57.91/23.62 | % 57.91/23.62 | Equations (504) can reduce 224 to: % 57.91/23.62 | (338) ~ (all_0_47_47 = e2) % 57.91/23.62 | % 57.91/23.62 | Equations (504) can reduce 6 to: % 57.91/23.62 | (508) ~ (all_0_53_53 = e2) % 57.91/23.62 | % 57.91/23.62 | Simplifying 508 yields: % 57.91/23.62 | (509) ~ (all_0_53_53 = e2) % 57.91/23.62 | % 57.91/23.62 | Equations (504) can reduce 16 to: % 57.91/23.62 | (510) ~ (all_0_56_56 = e2) % 57.91/23.62 | % 57.91/23.62 | Simplifying 510 yields: % 57.91/23.62 | (511) ~ (all_0_56_56 = e2) % 57.91/23.62 | % 57.91/23.62 | From (504) and (177) follows: % 57.91/23.62 | (514) op(e2, e2) = all_0_25_25 % 57.91/23.62 | % 57.91/23.62 | From (504) and (157) follows: % 57.91/23.62 | (18123) op(e2, e1) = all_0_24_24 % 57.91/23.62 | % 57.91/23.62 | From (504) and (186) follows: % 57.91/23.62 | (515) op(e1, e2) = e2 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (131), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (459) all_0_42_42 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (459) can reduce 145 to: % 57.91/23.62 | (151) ~ (all_0_39_39 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (459) can reduce 73 to: % 57.91/23.62 | (4057) ~ (all_0_44_44 = e1) % 57.91/23.62 | % 57.91/23.62 | Simplifying 4057 yields: % 57.91/23.62 | (639) ~ (all_0_44_44 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (459) can reduce 198 to: % 57.91/23.62 | (461) ~ (all_0_47_47 = e1) % 57.91/23.62 | % 57.91/23.62 | Simplifying 461 yields: % 57.91/23.62 | (462) ~ (all_0_47_47 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (459) can reduce 236 to: % 57.91/23.62 | (465) ~ (all_0_56_56 = e1) % 57.91/23.62 | % 57.91/23.62 | Simplifying 465 yields: % 57.91/23.62 | (466) ~ (all_0_56_56 = e1) % 57.91/23.62 | % 57.91/23.62 | From (459) and (226) follows: % 57.91/23.62 | (1980) op(e1, e3) = all_0_7_7 % 57.91/23.62 | % 57.91/23.62 | From (459) and (225) follows: % 57.91/23.62 | (469) op(e1, e2) = all_0_8_8 % 57.91/23.62 | % 57.91/23.62 | From (459) and (210) follows: % 57.91/23.62 | (470) op(e3, e2) = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (112), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (635) all_0_44_44 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (635) can reduce 639 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (639) ~ (all_0_44_44 = e1) % 57.91/23.62 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (640), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (671) all_0_49_49 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (671) can reduce 1064 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (1064) ~ (all_0_49_49 = e1) % 57.91/23.62 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (105), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (1105) all_0_47_47 = e2 % 57.91/23.62 | % 57.91/23.62 | Equations (1105) can reduce 338 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (338) ~ (all_0_47_47 = e2) % 57.91/23.62 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (1789), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (1790) all_0_47_47 = e4 % 57.91/23.62 | % 57.91/23.62 | Equations (1790) can reduce 252 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (252) ~ (all_0_47_47 = e4) % 57.91/23.62 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (2141), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (1208) all_0_53_53 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (1208) can reduce 162 to: % 57.91/23.62 | (132) ~ (all_0_40_40 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (1208) can reduce 65 to: % 57.91/23.62 | (1064) ~ (all_0_49_49 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (1208) can reduce 10 to: % 57.91/23.62 | (879) ~ (all_0_58_58 = e1) % 57.91/23.62 | % 57.91/23.62 | Simplifying 879 yields: % 57.91/23.62 | (880) ~ (all_0_58_58 = e1) % 57.91/23.62 | % 57.91/23.62 | Equations (1208) can reduce 247 to: % 57.91/23.62 | (233) ~ (e1 = e0) % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (1793), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (674) all_0_47_47 = e0 % 57.91/23.62 | % 57.91/23.62 | Equations (674) can reduce 678 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (678) ~ (all_0_47_47 = e0) % 57.91/23.62 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (1831), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (654) all_0_47_47 = e1 % 57.91/23.62 | % 57.91/23.62 | Equations (654) can reduce 462 to: % 57.91/23.62 | (266) $false % 57.91/23.62 | % 57.91/23.62 |-The branch is then unsatisfiable % 57.91/23.62 |-Branch two: % 57.91/23.62 | (462) ~ (all_0_47_47 = e1) % 57.91/23.62 | (522) all_0_47_47 = e3 % 57.91/23.62 | % 57.91/23.62 | Equations (522) can reduce 79 to: % 57.91/23.62 | (246) ~ (all_0_39_39 = e3) % 57.91/23.62 | % 57.91/23.62 | Equations (522) can reduce 462 to: % 57.91/23.62 | (213) ~ (e3 = e1) % 57.91/23.62 | % 57.91/23.62 | From (522) and (23) follows: % 57.91/23.62 | (531) op(e2, e2) = e3 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (189), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (532) all_0_44_44 = e3 % 57.91/23.62 | % 57.91/23.62 | Equations (532) can reduce 143 to: % 57.91/23.62 | (2) ~ (all_0_40_40 = e3) % 57.91/23.62 | % 57.91/23.62 | Equations (532) can reduce 9 to: % 57.91/23.62 | (524) ~ (all_0_49_49 = e3) % 57.91/23.62 | % 57.91/23.62 | Simplifying 524 yields: % 57.91/23.62 | (525) ~ (all_0_49_49 = e3) % 57.91/23.62 | % 57.91/23.62 | From (532) and (204) follows: % 57.91/23.62 | (15591) op(e3, e3) = all_0_11_11 % 57.91/23.62 | % 57.91/23.62 +-Applying beta-rule and splitting (54), into two cases. % 57.91/23.62 |-Branch one: % 57.91/23.62 | (583) all_0_49_49 = e2 % 57.91/23.62 | % 57.91/23.62 | Equations (583) can reduce 200 to: % 57.91/23.62 | (296) ~ (all_0_40_40 = e2) % 57.91/23.62 | % 57.91/23.62 | Equations (583) can reduce 119 to: % 57.91/23.62 | (1186) ~ (all_0_58_58 = e2) % 57.91/23.62 | % 57.91/23.62 | Simplifying 1186 yields: % 57.91/23.62 | (908) ~ (all_0_58_58 = e2) % 57.91/23.62 | % 57.91/23.62 | Equations (583) can reduce 1064 to: % 57.91/23.62 | (122) ~ (e2 = e1) % 57.91/23.62 | % 57.91/23.62 | From (583) and (129) follows: % 57.91/23.62 | (14996) op(e2, e2) = all_0_20_20 % 57.91/23.62 | % 57.91/23.62 | Instantiating formula (29) with e3, e3, all_0_11_11, e4 and discharging atoms op(e3, e3) = all_0_11_11, op(e3, e3) = e4, yields: % 57.91/23.62 | (9789) all_0_11_11 = e4 % 57.91/23.62 | % 57.91/23.62 | Instantiating formula (29) with e2, e2, all_0_25_25, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = all_0_25_25, yields: % 57.91/23.62 | (4266) all_0_20_20 = all_0_25_25 % 57.91/23.62 | % 57.91/23.62 | Instantiating formula (29) with e2, e2, e3, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = e3, yields: % 57.91/23.62 | (4837) all_0_20_20 = e3 % 57.91/23.62 | % 57.91/23.62 | Instantiating formula (29) with e2, e1, all_0_24_24, e1 and discharging atoms op(e2, e1) = all_0_24_24, op(e2, e1) = e1, yields: % 57.91/23.62 | (15139) all_0_24_24 = e1 % 57.91/23.62 | % 57.91/23.62 | Instantiating formula (29) with e1, e3, all_0_7_7, e3 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = e3, yields: % 57.91/23.62 | (2158) all_0_7_7 = e3 % 57.91/23.62 | % 57.91/23.62 | Instantiating formula (29) with e1, e2, e2, all_0_8_8 and discharging atoms op(e1, e2) = all_0_8_8, op(e1, e2) = e2, yields: % 57.91/23.62 | (15601) all_0_8_8 = e2 % 57.91/23.62 | % 57.91/23.62 | Combining equations (4837,4266) yields a new equation: % 57.91/23.62 | (683) all_0_25_25 = e3 % 57.91/23.62 | % 57.91/23.62 | From (9789) and (15591) follows: % 57.91/23.62 | (1913) op(e3, e3) = e4 % 57.91/23.62 | % 57.91/23.62 | From (683) and (514) follows: % 57.91/23.62 | (531) op(e2, e2) = e3 % 57.91/23.62 | % 57.91/23.62 | From (15139) and (18123) follows: % 57.91/23.62 | (1612) op(e2, e1) = e1 % 57.91/23.62 | % 57.91/23.62 | From (2158) and (1980) follows: % 57.91/23.62 | (1934) op(e1, e3) = e3 % 57.91/23.62 | % 57.91/23.62 | From (15601) and (469) follows: % 57.91/23.63 | (515) op(e1, e2) = e2 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (125), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (858) all_0_55_55 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (629,858) yields a new equation: % 57.91/23.63 | (546) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 546 yields: % 57.91/23.63 | (431) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (431) can reduce 233 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (803) ~ (all_0_55_55 = e0) % 57.91/23.63 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (104), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (480) all_0_39_39 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (480) can reduce 176 to: % 57.91/23.63 | (1400) ~ (all_0_40_40 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 1400 yields: % 57.91/23.63 | (1401) ~ (all_0_40_40 = e0) % 57.91/23.63 | % 57.91/23.63 | Equations (480) can reduce 154 to: % 57.91/23.63 | (1181) ~ (all_0_56_56 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 1181 yields: % 57.91/23.63 | (828) ~ (all_0_56_56 = e0) % 57.91/23.63 | % 57.91/23.63 | Equations (480) can reduce 294 to: % 57.91/23.63 | (365) ~ (e2 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 365 yields: % 57.91/23.63 | (128) ~ (e2 = e0) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (75), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (485) all_0_40_40 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (485) can reduce 1401 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (1401) ~ (all_0_40_40 = e0) % 57.91/23.63 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (133), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (833) all_0_56_56 = e2 % 57.91/23.63 | % 57.91/23.63 | Equations (833) can reduce 511 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (511) ~ (all_0_56_56 = e2) % 57.91/23.63 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (164), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (471) all_0_39_39 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (471,480) yields a new equation: % 57.91/23.63 | (481) e4 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 481 yields: % 57.91/23.63 | (397) e4 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (397) can reduce 49 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (1377) ~ (all_0_39_39 = e4) % 57.91/23.63 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (316), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (1378) all_0_40_40 = e4 % 57.91/23.63 | % 57.91/23.63 | Equations (1378) can reduce 178 to: % 57.91/23.63 | (450) ~ (all_0_58_58 = e4) % 57.91/23.63 | % 57.91/23.63 | Simplifying 450 yields: % 57.91/23.63 | (451) ~ (all_0_58_58 = e4) % 57.91/23.63 | % 57.91/23.63 | Equations (1378) can reduce 2 to: % 57.91/23.63 | (188) ~ (e4 = e3) % 57.91/23.63 | % 57.91/23.63 | Equations (1378) can reduce 296 to: % 57.91/23.63 | (48) ~ (e4 = e2) % 57.91/23.63 | % 57.91/23.63 | Equations (1378) can reduce 132 to: % 57.91/23.63 | (110) ~ (e4 = e1) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (171), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (265) all_0_54_54 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (265,268) yields a new equation: % 57.91/23.63 | (424) e4 = e3 % 57.91/23.63 | % 57.91/23.63 | Simplifying 424 yields: % 57.91/23.63 | (425) e4 = e3 % 57.91/23.63 | % 57.91/23.63 | Equations (425) can reduce 188 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (258) ~ (all_0_54_54 = e4) % 57.91/23.63 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (2115), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (1392) all_0_42_42 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (1392,459) yields a new equation: % 57.91/23.63 | (636) e4 = e1 % 57.91/23.63 | % 57.91/23.63 | Simplifying 636 yields: % 57.91/23.63 | (630) e4 = e1 % 57.91/23.63 | % 57.91/23.63 | Equations (630) can reduce 110 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (1890) ~ (all_0_42_42 = e4) % 57.91/23.63 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.91/23.63 | % 57.91/23.63 | Equations (459) can reduce 1890 to: % 57.91/23.63 | (602) ~ (e4 = e1) % 57.91/23.63 | % 57.91/23.63 | Simplifying 602 yields: % 57.91/23.63 | (110) ~ (e4 = e1) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (863), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (679) all_0_56_56 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (679) can reduce 828 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (828) ~ (all_0_56_56 = e0) % 57.91/23.63 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (836), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (842) all_0_56_56 = e4 % 57.91/23.63 | % 57.91/23.63 | From (842) and (111) follows: % 57.91/23.63 | (2154) op(e0, e2) = e4 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (924), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (875) all_0_57_57 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (442,875) yields a new equation: % 57.91/23.63 | (391) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 391 yields: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (330) can reduce 128 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (364) ~ (all_0_57_57 = e0) % 57.91/23.63 | (914) all_0_58_58 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (914) can reduce 880 to: % 57.91/23.63 | (435) ~ (e1 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 435 yields: % 57.91/23.63 | (233) ~ (e1 = e0) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (56), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (696) unit = e2 % 57.91/23.63 | % 57.91/23.63 | From (696) and (24) follows: % 57.91/23.63 | (697) op(e2, e3) = e3 % 57.91/23.63 | % 57.91/23.63 | From (696) and (40) follows: % 57.91/23.63 | (4285) op(e3, e2) = e3 % 57.91/23.63 | % 57.91/23.63 | From (696) and (32) follows: % 57.91/23.63 | (698) op(e2, e2) = e2 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 57.91/23.63 | (455) e3 = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 57.91/23.63 | (676) e3 = e0 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 57.91/23.63 | (662) e3 = e2 % 57.91/23.63 | % 57.91/23.63 | Combining equations (455,662) yields a new equation: % 57.91/23.63 | (617) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Combining equations (676,662) yields a new equation: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (330,617) yields a new equation: % 57.91/23.63 | (431) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (431) can reduce 233 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (707) ~ (unit = e2) % 57.91/23.63 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (708), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (709) unit = e4 % 57.91/23.63 | % 57.91/23.63 | From (709) and (227) follows: % 57.91/23.63 | (710) op(e4, e4) = e4 % 57.91/23.63 | % 57.91/23.63 | From (709) and (40) follows: % 57.91/23.63 | (711) op(e3, e4) = e3 % 57.91/23.63 | % 57.91/23.63 | From (709) and (32) follows: % 57.91/23.63 | (712) op(e2, e4) = e2 % 57.91/23.63 | % 57.91/23.63 | From (709) and (42) follows: % 57.91/23.63 | (713) op(e0, e4) = e0 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.91/23.63 | (630) e4 = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.91/23.63 | (662) e3 = e2 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.91/23.63 | (323) e4 = e2 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.91/23.63 | (676) e3 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (630,323) yields a new equation: % 57.91/23.63 | (617) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Combining equations (662,676) yields a new equation: % 57.91/23.63 | (391) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 391 yields: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (617,330) yields a new equation: % 57.91/23.63 | (546) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 546 yields: % 57.91/23.63 | (431) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (431) can reduce 233 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (724) ~ (unit = e4) % 57.91/23.63 | (725) unit = e3 | unit = e1 | unit = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (725), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (726) unit = e0 % 57.91/23.63 | % 57.91/23.63 | From (726) and (244) follows: % 57.91/23.63 | (2207) op(e0, e4) = e4 % 57.91/23.63 | % 57.91/23.63 | From (726) and (24) follows: % 57.91/23.63 | (2208) op(e0, e3) = e3 % 57.91/23.63 | % 57.91/23.63 | From (726) and (15) follows: % 57.91/23.63 | (1508) op(e0, e2) = e2 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.91/23.63 | (425) e4 = e3 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 57.91/23.63 | (455) e3 = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 57.91/23.63 | (323) e4 = e2 % 57.91/23.63 | % 57.91/23.63 | Combining equations (323,425) yields a new equation: % 57.91/23.63 | (662) e3 = e2 % 57.91/23.63 | % 57.91/23.63 | Combining equations (662,455) yields a new equation: % 57.91/23.63 | (616) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Simplifying 616 yields: % 57.91/23.63 | (617) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Equations (617) can reduce 122 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (734) ~ (unit = e0) % 57.91/23.63 | (735) unit = e3 | unit = e1 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (735), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (736) unit = e1 % 57.91/23.63 | % 57.91/23.63 | Equations (736) can reduce 734 to: % 57.91/23.63 | (233) ~ (e1 = e0) % 57.91/23.63 | % 57.91/23.63 | From (736) and (32) follows: % 57.91/23.63 | (347) op(e2, e1) = e2 % 57.91/23.63 | % 57.91/23.63 | From (736) and (42) follows: % 57.91/23.63 | (3221) op(e0, e1) = e0 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 57.91/23.63 | (617) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (617,330) yields a new equation: % 57.91/23.63 | (546) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 546 yields: % 57.91/23.63 | (431) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (431) can reduce 233 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (748) ~ (unit = e1) % 57.91/23.63 | (749) unit = e3 % 57.91/23.63 | % 57.91/23.63 | From (749) and (244) follows: % 57.91/23.63 | (750) op(e3, e4) = e4 % 57.91/23.63 | % 57.91/23.63 | From (749) and (40) follows: % 57.91/23.63 | (3715) op(e3, e3) = e3 % 57.91/23.63 | % 57.91/23.63 | From (749) and (32) follows: % 57.91/23.63 | (5793) op(e2, e3) = e2 % 57.91/23.63 | % 57.91/23.63 | From (749) and (28) follows: % 57.91/23.63 | (2235) op(e1, e3) = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.91/23.63 | (323) e4 = e2 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.91/23.63 | (425) e4 = e3 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.91/23.63 | (455) e3 = e1 % 57.91/23.63 | % 57.91/23.63 | Combining equations (323,425) yields a new equation: % 57.91/23.63 | (662) e3 = e2 % 57.91/23.63 | % 57.91/23.63 | Combining equations (662,455) yields a new equation: % 57.91/23.63 | (616) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Simplifying 616 yields: % 57.91/23.63 | (617) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Combining equations (330,617) yields a new equation: % 57.91/23.63 | (431) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (431) can reduce 233 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (477) ~ (all_0_56_56 = e4) % 57.91/23.63 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (924), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (875) all_0_57_57 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (442,875) yields a new equation: % 57.91/23.63 | (391) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 391 yields: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (330) can reduce 128 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (364) ~ (all_0_57_57 = e0) % 57.91/23.63 | (914) all_0_58_58 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (914) can reduce 451 to: % 57.91/23.63 | (401) ~ (e4 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 401 yields: % 57.91/23.63 | (49) ~ (e4 = e0) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (575), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (587) all_0_55_55 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (587,629) yields a new equation: % 57.91/23.63 | (636) e4 = e1 % 57.91/23.63 | % 57.91/23.63 | Simplifying 636 yields: % 57.91/23.63 | (630) e4 = e1 % 57.91/23.63 | % 57.91/23.63 | Equations (630) can reduce 110 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (763) ~ (all_0_55_55 = e4) % 57.91/23.63 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (764), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (842) all_0_56_56 = e4 % 57.91/23.63 | % 57.91/23.63 | Equations (842) can reduce 477 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (477) ~ (all_0_56_56 = e4) % 57.91/23.63 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (935), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (871) all_0_57_57 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (871,442) yields a new equation: % 57.91/23.63 | (322) e4 = e2 % 57.91/23.63 | % 57.91/23.63 | Simplifying 322 yields: % 57.91/23.63 | (323) e4 = e2 % 57.91/23.63 | % 57.91/23.63 | Equations (323) can reduce 48 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (839) ~ (all_0_57_57 = e4) % 57.91/23.63 | (910) all_0_58_58 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (914,910) yields a new equation: % 57.91/23.63 | (397) e4 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (397) can reduce 49 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (447) ~ (all_0_40_40 = e4) % 57.91/23.63 | (485) all_0_40_40 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (485) can reduce 1401 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (484) ~ (all_0_39_39 = e0) % 57.91/23.63 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (333), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (480) all_0_39_39 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (480) can reduce 484 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (484) ~ (all_0_39_39 = e0) % 57.91/23.63 | (485) all_0_40_40 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (485) can reduce 176 to: % 57.91/23.63 | (484) ~ (all_0_39_39 = e0) % 57.91/23.63 | % 57.91/23.63 | Equations (485) can reduce 178 to: % 57.91/23.63 | (490) ~ (all_0_58_58 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 490 yields: % 57.91/23.63 | (491) ~ (all_0_58_58 = e0) % 57.91/23.63 | % 57.91/23.63 | Equations (485) can reduce 296 to: % 57.91/23.63 | (365) ~ (e2 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 365 yields: % 57.91/23.63 | (128) ~ (e2 = e0) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (150), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (1378) all_0_40_40 = e4 % 57.91/23.63 | % 57.91/23.63 | Combining equations (1378,485) yields a new equation: % 57.91/23.63 | (481) e4 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 481 yields: % 57.91/23.63 | (397) e4 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (397) can reduce 49 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (447) ~ (all_0_40_40 = e4) % 57.91/23.63 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (108), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (624) all_0_58_58 = e2 % 57.91/23.63 | % 57.91/23.63 | Equations (624) can reduce 908 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (908) ~ (all_0_58_58 = e2) % 57.91/23.63 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (320), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (471) all_0_39_39 = e4 % 57.91/23.63 | % 57.91/23.63 | Equations (471) can reduce 246 to: % 57.91/23.63 | (188) ~ (e4 = e3) % 57.91/23.63 | % 57.91/23.63 | Equations (471) can reduce 294 to: % 57.91/23.63 | (48) ~ (e4 = e2) % 57.91/23.63 | % 57.91/23.63 | Equations (471) can reduce 151 to: % 57.91/23.63 | (110) ~ (e4 = e1) % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (863), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (679) all_0_56_56 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (679) can reduce 466 to: % 57.91/23.63 | (435) ~ (e1 = e0) % 57.91/23.63 | % 57.91/23.63 | Simplifying 435 yields: % 57.91/23.63 | (233) ~ (e1 = e0) % 57.91/23.63 | % 57.91/23.63 | From (679) and (111) follows: % 57.91/23.63 | (1613) op(e0, e2) = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (56), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (696) unit = e2 % 57.91/23.63 | % 57.91/23.63 | From (696) and (24) follows: % 57.91/23.63 | (697) op(e2, e3) = e3 % 57.91/23.63 | % 57.91/23.63 | From (696) and (32) follows: % 57.91/23.63 | (698) op(e2, e2) = e2 % 57.91/23.63 | % 57.91/23.63 | From (696) and (28) follows: % 57.91/23.63 | (699) op(e1, e2) = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 57.91/23.63 | (676) e3 = e0 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 57.91/23.63 | (662) e3 = e2 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 57.91/23.63 | (617) e2 = e1 % 57.91/23.63 | % 57.91/23.63 | Combining equations (662,676) yields a new equation: % 57.91/23.63 | (391) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Simplifying 391 yields: % 57.91/23.63 | (330) e2 = e0 % 57.91/23.63 | % 57.91/23.63 | Combining equations (330,617) yields a new equation: % 57.91/23.63 | (431) e1 = e0 % 57.91/23.63 | % 57.91/23.63 | Equations (431) can reduce 233 to: % 57.91/23.63 | (266) $false % 57.91/23.63 | % 57.91/23.63 |-The branch is then unsatisfiable % 57.91/23.63 |-Branch two: % 57.91/23.63 | (707) ~ (unit = e2) % 57.91/23.63 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.91/23.63 | % 57.91/23.63 +-Applying beta-rule and splitting (708), into two cases. % 57.91/23.63 |-Branch one: % 57.91/23.63 | (709) unit = e4 % 57.91/23.63 | % 57.91/23.63 | From (709) and (227) follows: % 57.91/23.63 | (710) op(e4, e4) = e4 % 57.91/23.63 | % 57.91/23.63 | From (709) and (40) follows: % 57.91/23.63 | (711) op(e3, e4) = e3 % 57.91/23.63 | % 57.91/23.63 | From (709) and (32) follows: % 57.91/23.63 | (712) op(e2, e4) = e2 % 57.91/23.63 | % 57.91/23.63 | From (709) and (42) follows: % 57.91/23.63 | (713) op(e0, e4) = e0 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.91/23.63 | (630) e4 = e1 % 57.91/23.63 | % 57.91/23.63 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.91/23.63 | (662) e3 = e2 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.91/23.64 | (323) e4 = e2 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.91/23.64 | (676) e3 = e0 % 57.91/23.64 | % 57.91/23.64 | Combining equations (323,630) yields a new equation: % 57.91/23.64 | (616) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Simplifying 616 yields: % 57.91/23.64 | (617) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (662,676) yields a new equation: % 57.91/23.64 | (391) e2 = e0 % 57.91/23.64 | % 57.91/23.64 | Simplifying 391 yields: % 57.91/23.64 | (330) e2 = e0 % 57.91/23.64 | % 57.91/23.64 | Combining equations (330,617) yields a new equation: % 57.91/23.64 | (431) e1 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (431) can reduce 233 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (724) ~ (unit = e4) % 57.91/23.64 | (725) unit = e3 | unit = e1 | unit = e0 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (725), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (726) unit = e0 % 57.91/23.64 | % 57.91/23.64 | From (726) and (15) follows: % 57.91/23.64 | (1508) op(e0, e2) = e2 % 57.91/23.64 | % 57.91/23.64 | From (726) and (211) follows: % 57.91/23.64 | (15180) op(e0, e1) = e1 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 57.91/23.64 | (330) e2 = e0 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 57.91/23.64 | (617) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (330,617) yields a new equation: % 57.91/23.64 | (431) e1 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (431) can reduce 233 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (734) ~ (unit = e0) % 57.91/23.64 | (735) unit = e3 | unit = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (735), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (736) unit = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (736) can reduce 734 to: % 57.91/23.64 | (233) ~ (e1 = e0) % 57.91/23.64 | % 57.91/23.64 | From (736) and (32) follows: % 57.91/23.64 | (347) op(e2, e1) = e2 % 57.91/23.64 | % 57.91/23.64 | From (736) and (42) follows: % 57.91/23.64 | (3221) op(e0, e1) = e0 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 57.91/23.64 | (617) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.91/23.64 | (330) e2 = e0 % 57.91/23.64 | % 57.91/23.64 | Combining equations (617,330) yields a new equation: % 57.91/23.64 | (546) e1 = e0 % 57.91/23.64 | % 57.91/23.64 | Simplifying 546 yields: % 57.91/23.64 | (431) e1 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (431) can reduce 233 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (748) ~ (unit = e1) % 57.91/23.64 | (749) unit = e3 % 57.91/23.64 | % 57.91/23.64 | From (749) and (244) follows: % 57.91/23.64 | (750) op(e3, e4) = e4 % 57.91/23.64 | % 57.91/23.64 | From (749) and (40) follows: % 57.91/23.64 | (3715) op(e3, e3) = e3 % 57.91/23.64 | % 57.91/23.64 | From (749) and (32) follows: % 57.91/23.64 | (5793) op(e2, e3) = e2 % 57.91/23.64 | % 57.91/23.64 | From (749) and (28) follows: % 57.91/23.64 | (2235) op(e1, e3) = e1 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.91/23.64 | (323) e4 = e2 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.91/23.64 | (425) e4 = e3 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 57.91/23.64 | (330) e2 = e0 % 57.91/23.64 | % 57.91/23.64 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.91/23.64 | (455) e3 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (323,425) yields a new equation: % 57.91/23.64 | (662) e3 = e2 % 57.91/23.64 | % 57.91/23.64 | Combining equations (662,455) yields a new equation: % 57.91/23.64 | (616) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Simplifying 616 yields: % 57.91/23.64 | (617) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (330,617) yields a new equation: % 57.91/23.64 | (431) e1 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (431) can reduce 233 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (828) ~ (all_0_56_56 = e0) % 57.91/23.64 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (171), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (265) all_0_54_54 = e4 % 57.91/23.64 | % 57.91/23.64 | Combining equations (265,268) yields a new equation: % 57.91/23.64 | (424) e4 = e3 % 57.91/23.64 | % 57.91/23.64 | Simplifying 424 yields: % 57.91/23.64 | (425) e4 = e3 % 57.91/23.64 | % 57.91/23.64 | Equations (425) can reduce 188 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (258) ~ (all_0_54_54 = e4) % 57.91/23.64 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.91/23.64 | % 57.91/23.64 | Equations (268) can reduce 258 to: % 57.91/23.64 | (277) ~ (e4 = e3) % 57.91/23.64 | % 57.91/23.64 | Simplifying 277 yields: % 57.91/23.64 | (188) ~ (e4 = e3) % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (2271), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (446) all_0_44_44 = e4 % 57.91/23.64 | % 57.91/23.64 | Combining equations (446,532) yields a new equation: % 57.91/23.64 | (424) e4 = e3 % 57.91/23.64 | % 57.91/23.64 | Simplifying 424 yields: % 57.91/23.64 | (425) e4 = e3 % 57.91/23.64 | % 57.91/23.64 | Equations (425) can reduce 188 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1390) ~ (all_0_44_44 = e4) % 57.91/23.64 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (909), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (910) all_0_58_58 = e4 % 57.91/23.64 | % 57.91/23.64 | Equations (910) can reduce 491 to: % 57.91/23.64 | (49) ~ (e4 = e0) % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (924), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (875) all_0_57_57 = e0 % 57.91/23.64 | % 57.91/23.64 | Combining equations (875,442) yields a new equation: % 57.91/23.64 | (330) e2 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (330) can reduce 128 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (364) ~ (all_0_57_57 = e0) % 57.91/23.64 | (914) all_0_58_58 = e0 % 57.91/23.64 | % 57.91/23.64 | Combining equations (910,914) yields a new equation: % 57.91/23.64 | (481) e4 = e0 % 57.91/23.64 | % 57.91/23.64 | Simplifying 481 yields: % 57.91/23.64 | (397) e4 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (397) can reduce 49 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (451) ~ (all_0_58_58 = e4) % 57.91/23.64 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (7998), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (974) all_0_49_49 = e4 % 57.91/23.64 | % 57.91/23.64 | Combining equations (583,974) yields a new equation: % 57.91/23.64 | (323) e4 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (323) can reduce 48 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (256) ~ (all_0_49_49 = e4) % 57.91/23.64 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (8013), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (1298) all_0_53_53 = e4 % 57.91/23.64 | % 57.91/23.64 | Combining equations (1208,1298) yields a new equation: % 57.91/23.64 | (630) e4 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (630) can reduce 110 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1453) ~ (all_0_53_53 = e4) % 57.91/23.64 | (910) all_0_58_58 = e4 % 57.91/23.64 | % 57.91/23.64 | Equations (910) can reduce 451 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1377) ~ (all_0_39_39 = e4) % 57.91/23.64 | (480) all_0_39_39 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (480) can reduce 484 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (340) ~ (all_0_49_49 = e2) % 57.91/23.64 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (586), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (974) all_0_49_49 = e4 % 57.91/23.64 | % 57.91/23.64 | Equations (974) can reduce 256 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (256) ~ (all_0_49_49 = e4) % 57.91/23.64 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (977), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (978) all_0_49_49 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (978) can reduce 487 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (487) ~ (all_0_49_49 = e0) % 57.91/23.64 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (981), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (671) all_0_49_49 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (671) can reduce 1064 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1064) ~ (all_0_49_49 = e1) % 57.91/23.64 | (884) all_0_49_49 = e3 % 57.91/23.64 | % 57.91/23.64 | Equations (884) can reduce 525 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (407) ~ (all_0_44_44 = e3) % 57.91/23.64 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1899), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (516) all_0_42_42 = e3 % 57.91/23.64 | % 57.91/23.64 | Combining equations (459,516) yields a new equation: % 57.91/23.64 | (455) e3 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (455) can reduce 213 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (405) ~ (all_0_42_42 = e3) % 57.91/23.64 | (532) all_0_44_44 = e3 % 57.91/23.64 | % 57.91/23.64 | Equations (532) can reduce 407 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1459) ~ (all_0_53_53 = e1) % 57.91/23.64 | (918) all_0_58_58 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (918) can reduce 880 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1380) ~ (all_0_42_42 = e1) % 57.91/23.64 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (160), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (601) all_0_50_50 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (415,601) yields a new equation: % 57.91/23.64 | (454) e3 = e1 % 57.91/23.64 | % 57.91/23.64 | Simplifying 454 yields: % 57.91/23.64 | (455) e3 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (455) can reduce 213 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (759) ~ (all_0_50_50 = e1) % 57.91/23.64 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1168), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (1109) all_0_51_51 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (504,1109) yields a new equation: % 57.91/23.64 | (616) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Simplifying 616 yields: % 57.91/23.64 | (617) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (617) can reduce 122 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (464) ~ (all_0_51_51 = e1) % 57.91/23.64 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (3259), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (654) all_0_47_47 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (654) can reduce 462 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (462) ~ (all_0_47_47 = e1) % 57.91/23.64 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1202), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (642) all_0_52_52 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (565,642) yields a new equation: % 57.91/23.64 | (636) e4 = e1 % 57.91/23.64 | % 57.91/23.64 | Simplifying 636 yields: % 57.91/23.64 | (630) e4 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (630) can reduce 110 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (646) ~ (all_0_52_52 = e1) % 57.91/23.64 | (1208) all_0_53_53 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (1208) can reduce 509 to: % 57.91/23.64 | (604) ~ (e2 = e1) % 57.91/23.64 | % 57.91/23.64 | Simplifying 604 yields: % 57.91/23.64 | (122) ~ (e2 = e1) % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (3264), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (1109) all_0_51_51 = e1 % 57.91/23.64 | % 57.91/23.64 | Combining equations (504,1109) yields a new equation: % 57.91/23.64 | (616) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Simplifying 616 yields: % 57.91/23.64 | (617) e2 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (617) can reduce 122 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (464) ~ (all_0_51_51 = e1) % 57.91/23.64 | (1569) all_0_56_56 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (1569) can reduce 466 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.64 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (7), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (504) all_0_51_51 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (504) can reduce 1099 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.64 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (385), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (1105) all_0_47_47 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (1105) can reduce 252 to: % 57.91/23.64 | (327) ~ (e4 = e2) % 57.91/23.64 | % 57.91/23.64 | Simplifying 327 yields: % 57.91/23.64 | (48) ~ (e4 = e2) % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1152), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (352) all_0_52_52 = e2 % 57.91/23.64 | % 57.91/23.64 | Combining equations (565,352) yields a new equation: % 57.91/23.64 | (322) e4 = e2 % 57.91/23.64 | % 57.91/23.64 | Simplifying 322 yields: % 57.91/23.64 | (323) e4 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (323) can reduce 48 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (342) ~ (all_0_52_52 = e2) % 57.91/23.64 | (607) all_0_53_53 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (607) can reduce 509 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (338) ~ (all_0_47_47 = e2) % 57.91/23.64 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1108), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (504) all_0_51_51 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (504) can reduce 1099 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (1099) ~ (all_0_51_51 = e2) % 57.91/23.64 | (833) all_0_56_56 = e2 % 57.91/23.64 | % 57.91/23.64 | Equations (833) can reduce 511 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (831) ~ (all_0_46_46 = e0) % 57.91/23.64 | (858) all_0_55_55 = e0 % 57.91/23.64 | % 57.91/23.64 | Combining equations (858,629) yields a new equation: % 57.91/23.64 | (431) e1 = e0 % 57.91/23.64 | % 57.91/23.64 | Equations (431) can reduce 233 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (411) ~ (all_0_50_50 = e3) % 57.91/23.64 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1923), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (1557) all_0_46_46 = e3 % 57.91/23.64 | % 57.91/23.64 | Equations (1557) can reduce 208 to: % 57.91/23.64 | (524) ~ (all_0_49_49 = e3) % 57.91/23.64 | % 57.91/23.64 | Simplifying 524 yields: % 57.91/23.64 | (525) ~ (all_0_49_49 = e3) % 57.91/23.64 | % 57.91/23.64 | Equations (1557) can reduce 35 to: % 57.91/23.64 | (410) ~ (all_0_50_50 = e3) % 57.91/23.64 | % 57.91/23.64 | Simplifying 410 yields: % 57.91/23.64 | (411) ~ (all_0_50_50 = e3) % 57.91/23.64 | % 57.91/23.64 | Equations (1557) can reduce 58 to: % 57.91/23.64 | (269) ~ (all_0_55_55 = e3) % 57.91/23.64 | % 57.91/23.64 | Simplifying 269 yields: % 57.91/23.64 | (270) ~ (all_0_55_55 = e3) % 57.91/23.64 | % 57.91/23.64 | From (1557) and (33) follows: % 57.91/23.64 | (3526) op(e3, e3) = all_0_16_16 % 57.91/23.64 | % 57.91/23.64 | From (1557) and (179) follows: % 57.91/23.64 | (3527) op(e3, e2) = all_0_15_15 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (422), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (775) all_0_50_50 = e4 % 57.91/23.64 | % 57.91/23.64 | Equations (775) can reduce 566 to: % 57.91/23.64 | (266) $false % 57.91/23.64 | % 57.91/23.64 |-The branch is then unsatisfiable % 57.91/23.64 |-Branch two: % 57.91/23.64 | (566) ~ (all_0_50_50 = e4) % 57.91/23.64 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.91/23.64 | % 57.91/23.64 +-Applying beta-rule and splitting (1444), into two cases. % 57.91/23.64 |-Branch one: % 57.91/23.64 | (601) all_0_50_50 = e1 % 57.91/23.64 | % 57.91/23.64 | Equations (601) can reduce 59 to: % 57.91/23.64 | (463) ~ (all_0_51_51 = e1) % 57.91/23.64 | % 57.91/23.64 | Simplifying 463 yields: % 57.91/23.64 | (464) ~ (all_0_51_51 = e1) % 57.91/23.65 | % 57.91/23.65 | Equations (601) can reduce 190 to: % 57.91/23.65 | (1458) ~ (all_0_53_53 = e1) % 57.91/23.65 | % 57.91/23.65 | Simplifying 1458 yields: % 57.91/23.65 | (1459) ~ (all_0_53_53 = e1) % 57.91/23.65 | % 57.91/23.65 | Equations (601) can reduce 93 to: % 57.91/23.65 | (2331) ~ (all_0_55_55 = e1) % 57.91/23.65 | % 57.91/23.65 | Simplifying 2331 yields: % 57.91/23.65 | (632) ~ (all_0_55_55 = e1) % 57.91/23.65 | % 57.91/23.65 | From (601) and (8) follows: % 57.91/23.65 | (15351) op(e1, e3) = all_0_23_23 % 57.91/23.65 | % 57.91/23.65 | From (601) and (242) follows: % 57.91/23.65 | (2235) op(e1, e3) = e1 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (174), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (386) all_0_55_55 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (386) can reduce 304 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (304) ~ (all_0_55_55 = e2) % 57.91/23.65 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (2051), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (587) all_0_55_55 = e4 % 57.91/23.65 | % 57.91/23.65 | Equations (587) can reduce 763 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (763) ~ (all_0_55_55 = e4) % 57.91/23.65 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (2055), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (858) all_0_55_55 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (858) can reduce 153 to: % 57.91/23.65 | (1181) ~ (all_0_56_56 = e0) % 57.91/23.65 | % 57.91/23.65 | Simplifying 1181 yields: % 57.91/23.65 | (828) ~ (all_0_56_56 = e0) % 57.91/23.65 | % 57.91/23.65 | Equations (858) can reduce 3 to: % 57.91/23.65 | (490) ~ (all_0_58_58 = e0) % 57.91/23.65 | % 57.91/23.65 | Simplifying 490 yields: % 57.91/23.65 | (491) ~ (all_0_58_58 = e0) % 57.91/23.65 | % 57.91/23.65 | Equations (858) can reduce 763 to: % 57.91/23.65 | (401) ~ (e4 = e0) % 57.91/23.65 | % 57.91/23.65 | Simplifying 401 yields: % 57.91/23.65 | (49) ~ (e4 = e0) % 57.91/23.65 | % 57.91/23.65 | From (858) and (187) follows: % 57.91/23.65 | (2064) op(e0, e3) = all_0_32_32 % 57.91/23.65 | % 57.91/23.65 | From (858) and (68) follows: % 57.91/23.65 | (5131) op(e0, e0) = all_0_31_31 % 57.91/23.65 | % 57.91/23.65 | From (858) and (74) follows: % 57.91/23.65 | (752) op(e0, e3) = e0 % 57.91/23.65 | % 57.91/23.65 | Instantiating formula (29) with e3, e3, all_0_16_16, e4 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = e4, yields: % 57.91/23.65 | (687) all_0_16_16 = e4 % 57.91/23.65 | % 57.91/23.65 | Instantiating formula (29) with e3, e2, all_0_15_15, all_0_42_42 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_42_42, yields: % 57.91/23.65 | (3582) all_0_15_15 = all_0_42_42 % 57.91/23.65 | % 57.91/23.65 | Instantiating formula (29) with e1, e3, e1, all_0_23_23 and discharging atoms op(e1, e3) = all_0_23_23, op(e1, e3) = e1, yields: % 57.91/23.65 | (9657) all_0_23_23 = e1 % 57.91/23.65 | % 57.91/23.65 | Instantiating formula (29) with e0, e3, e0, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = e0, yields: % 57.91/23.65 | (2163) all_0_32_32 = e0 % 57.91/23.65 | % 57.91/23.65 | Instantiating formula (29) with e0, e0, all_0_31_31, all_0_58_58 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = all_0_58_58, yields: % 57.91/23.65 | (18617) all_0_31_31 = all_0_58_58 % 57.91/23.65 | % 57.91/23.65 | From (687) and (3526) follows: % 57.91/23.65 | (1913) op(e3, e3) = e4 % 57.91/23.65 | % 57.91/23.65 | From (3582) and (3527) follows: % 57.91/23.65 | (210) op(e3, e2) = all_0_42_42 % 57.91/23.65 | % 57.91/23.65 | From (9657) and (15351) follows: % 57.91/23.65 | (2235) op(e1, e3) = e1 % 57.91/23.65 | % 57.91/23.65 | From (2163) and (2064) follows: % 57.91/23.65 | (752) op(e0, e3) = e0 % 57.91/23.65 | % 57.91/23.65 | From (18617) and (5131) follows: % 57.91/23.65 | (245) op(e0, e0) = all_0_58_58 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (7), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (504) all_0_51_51 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (504) can reduce 61 to: % 57.91/23.65 | (51) ~ (all_0_42_42 = e2) % 57.91/23.65 | % 57.91/23.65 | Equations (504) can reduce 224 to: % 57.91/23.65 | (338) ~ (all_0_47_47 = e2) % 57.91/23.65 | % 57.91/23.65 | Equations (504) can reduce 6 to: % 57.91/23.65 | (508) ~ (all_0_53_53 = e2) % 57.91/23.65 | % 57.91/23.65 | Simplifying 508 yields: % 57.91/23.65 | (509) ~ (all_0_53_53 = e2) % 57.91/23.65 | % 57.91/23.65 | Equations (504) can reduce 16 to: % 57.91/23.65 | (510) ~ (all_0_56_56 = e2) % 57.91/23.65 | % 57.91/23.65 | Simplifying 510 yields: % 57.91/23.65 | (511) ~ (all_0_56_56 = e2) % 57.91/23.65 | % 57.91/23.65 | From (504) and (186) follows: % 57.91/23.65 | (515) op(e1, e2) = e2 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (196), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (607) all_0_53_53 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (607) can reduce 509 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (509) ~ (all_0_53_53 = e2) % 57.91/23.65 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (180), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (516) all_0_42_42 = e3 % 57.91/23.65 | % 57.91/23.65 | Equations (516) can reduce 145 to: % 57.91/23.65 | (246) ~ (all_0_39_39 = e3) % 57.91/23.65 | % 57.91/23.65 | Equations (516) can reduce 73 to: % 57.91/23.65 | (406) ~ (all_0_44_44 = e3) % 57.91/23.65 | % 57.91/23.65 | Simplifying 406 yields: % 57.91/23.65 | (407) ~ (all_0_44_44 = e3) % 57.91/23.65 | % 57.91/23.65 | Equations (516) can reduce 198 to: % 57.91/23.65 | (2538) ~ (all_0_47_47 = e3) % 57.91/23.65 | % 57.91/23.65 | Simplifying 2538 yields: % 57.91/23.65 | (1091) ~ (all_0_47_47 = e3) % 57.91/23.65 | % 57.91/23.65 | Equations (516) can reduce 236 to: % 57.91/23.65 | (271) ~ (all_0_56_56 = e3) % 57.91/23.65 | % 57.91/23.65 | Simplifying 271 yields: % 57.91/23.65 | (272) ~ (all_0_56_56 = e3) % 57.91/23.65 | % 57.91/23.65 | Equations (516) can reduce 51 to: % 57.91/23.65 | (212) ~ (e3 = e2) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (189), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (532) all_0_44_44 = e3 % 57.91/23.65 | % 57.91/23.65 | Equations (532) can reduce 407 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (407) ~ (all_0_44_44 = e3) % 57.91/23.65 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (1391), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1414) all_0_44_44 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (1414) can reduce 360 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (360) ~ (all_0_44_44 = e0) % 57.91/23.65 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (10171), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1105) all_0_47_47 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (1105) can reduce 338 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (338) ~ (all_0_47_47 = e2) % 57.91/23.65 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (1417), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (635) all_0_44_44 = e1 % 57.91/23.65 | % 57.91/23.65 | Equations (635) can reduce 9 to: % 57.91/23.65 | (1419) ~ (all_0_49_49 = e1) % 57.91/23.65 | % 57.91/23.65 | Simplifying 1419 yields: % 57.91/23.65 | (1064) ~ (all_0_49_49 = e1) % 57.91/23.65 | % 57.91/23.65 | Equations (635) can reduce 181 to: % 57.91/23.65 | (879) ~ (all_0_58_58 = e1) % 57.91/23.65 | % 57.91/23.65 | Simplifying 879 yields: % 57.91/23.65 | (880) ~ (all_0_58_58 = e1) % 57.91/23.65 | % 57.91/23.65 | Equations (635) can reduce 360 to: % 57.91/23.65 | (233) ~ (e1 = e0) % 57.91/23.65 | % 57.91/23.65 | From (635) and (138) follows: % 57.91/23.65 | (1423) op(e3, e0) = e1 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (418), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (660) all_0_51_51 = e3 % 57.91/23.65 | % 57.91/23.65 | Combining equations (504,660) yields a new equation: % 57.91/23.65 | (662) e3 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (662) can reduce 212 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (664) ~ (all_0_51_51 = e3) % 57.91/23.65 | (665) all_0_53_53 = e3 % 57.91/23.65 | % 57.91/23.65 | Equations (665) can reduce 65 to: % 57.91/23.65 | (525) ~ (all_0_49_49 = e3) % 57.91/23.65 | % 57.91/23.65 | Equations (665) can reduce 10 to: % 57.91/23.65 | (275) ~ (all_0_58_58 = e3) % 57.91/23.65 | % 57.91/23.65 | Simplifying 275 yields: % 57.91/23.65 | (276) ~ (all_0_58_58 = e3) % 57.91/23.65 | % 57.91/23.65 | From (665) and (84) follows: % 57.91/23.65 | (3786) op(e1, e0) = e3 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (216), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (629) all_0_55_55 = e1 % 57.91/23.65 | % 57.91/23.65 | Combining equations (629,858) yields a new equation: % 57.91/23.65 | (546) e1 = e0 % 57.91/23.65 | % 57.91/23.65 | Simplifying 546 yields: % 57.91/23.65 | (431) e1 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (431) can reduce 233 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (632) ~ (all_0_55_55 = e1) % 57.91/23.65 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (105), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1105) all_0_47_47 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (1105) can reduce 338 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (338) ~ (all_0_47_47 = e2) % 57.91/23.65 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (633), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1569) all_0_56_56 = e1 % 57.91/23.65 | % 57.91/23.65 | Equations (1569) can reduce 154 to: % 57.91/23.65 | (151) ~ (all_0_39_39 = e1) % 57.91/23.65 | % 57.91/23.65 | Equations (1569) can reduce 91 to: % 57.91/23.65 | (462) ~ (all_0_47_47 = e1) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (164), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (471) all_0_39_39 = e4 % 57.91/23.65 | % 57.91/23.65 | Equations (471) can reduce 176 to: % 57.91/23.65 | (7398) ~ (all_0_40_40 = e4) % 57.91/23.65 | % 57.91/23.65 | Simplifying 7398 yields: % 57.91/23.65 | (447) ~ (all_0_40_40 = e4) % 57.91/23.65 | % 57.91/23.65 | Equations (471) can reduce 79 to: % 57.91/23.65 | (251) ~ (all_0_47_47 = e4) % 57.91/23.65 | % 57.91/23.65 | Simplifying 251 yields: % 57.91/23.65 | (252) ~ (all_0_47_47 = e4) % 57.91/23.65 | % 57.91/23.65 | Equations (471) can reduce 246 to: % 57.91/23.65 | (188) ~ (e4 = e3) % 57.91/23.65 | % 57.91/23.65 | Equations (471) can reduce 151 to: % 57.91/23.65 | (110) ~ (e4 = e1) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (333), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (480) all_0_39_39 = e0 % 57.91/23.65 | % 57.91/23.65 | Combining equations (480,471) yields a new equation: % 57.91/23.65 | (397) e4 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (397) can reduce 49 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (484) ~ (all_0_39_39 = e0) % 57.91/23.65 | (485) all_0_40_40 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (485) can reduce 447 to: % 57.91/23.65 | (401) ~ (e4 = e0) % 57.91/23.65 | % 57.91/23.65 | Simplifying 401 yields: % 57.91/23.65 | (49) ~ (e4 = e0) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (104), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (480) all_0_39_39 = e0 % 57.91/23.65 | % 57.91/23.65 | Combining equations (480,471) yields a new equation: % 57.91/23.65 | (397) e4 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (397) can reduce 49 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (484) ~ (all_0_39_39 = e0) % 57.91/23.65 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (471) can reduce 484 to: % 57.91/23.65 | (49) ~ (e4 = e0) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (1789), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1790) all_0_47_47 = e4 % 57.91/23.65 | % 57.91/23.65 | Equations (1790) can reduce 252 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (252) ~ (all_0_47_47 = e4) % 57.91/23.65 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (54), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (583) all_0_49_49 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (583) can reduce 256 to: % 57.91/23.65 | (327) ~ (e4 = e2) % 57.91/23.65 | % 57.91/23.65 | Simplifying 327 yields: % 57.91/23.65 | (48) ~ (e4 = e2) % 57.91/23.65 | % 57.91/23.65 | From (583) and (55) follows: % 57.91/23.65 | (727) op(e2, e0) = e2 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (150), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1378) all_0_40_40 = e4 % 57.91/23.65 | % 57.91/23.65 | Combining equations (1378,485) yields a new equation: % 57.91/23.65 | (481) e4 = e0 % 57.91/23.65 | % 57.91/23.65 | Simplifying 481 yields: % 57.91/23.65 | (397) e4 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (397) can reduce 49 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (447) ~ (all_0_40_40 = e4) % 57.91/23.65 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (171), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (265) all_0_54_54 = e4 % 57.91/23.65 | % 57.91/23.65 | Combining equations (268,265) yields a new equation: % 57.91/23.65 | (425) e4 = e3 % 57.91/23.65 | % 57.91/23.65 | Equations (425) can reduce 188 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (258) ~ (all_0_54_54 = e4) % 57.91/23.65 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.91/23.65 | % 57.91/23.65 | Equations (268) can reduce 258 to: % 57.91/23.65 | (277) ~ (e4 = e3) % 57.91/23.65 | % 57.91/23.65 | Simplifying 277 yields: % 57.91/23.65 | (188) ~ (e4 = e3) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (2271), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (446) all_0_44_44 = e4 % 57.91/23.65 | % 57.91/23.65 | Combining equations (635,446) yields a new equation: % 57.91/23.65 | (630) e4 = e1 % 57.91/23.65 | % 57.91/23.65 | Equations (630) can reduce 110 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (1390) ~ (all_0_44_44 = e4) % 57.91/23.65 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (1793), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (674) all_0_47_47 = e0 % 57.91/23.65 | % 57.91/23.65 | Equations (674) can reduce 462 to: % 57.91/23.65 | (435) ~ (e1 = e0) % 57.91/23.65 | % 57.91/23.65 | Simplifying 435 yields: % 57.91/23.65 | (233) ~ (e1 = e0) % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (7998), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (974) all_0_49_49 = e4 % 57.91/23.65 | % 57.91/23.65 | Combining equations (583,974) yields a new equation: % 57.91/23.65 | (323) e4 = e2 % 57.91/23.65 | % 57.91/23.65 | Equations (323) can reduce 48 to: % 57.91/23.65 | (266) $false % 57.91/23.65 | % 57.91/23.65 |-The branch is then unsatisfiable % 57.91/23.65 |-Branch two: % 57.91/23.65 | (256) ~ (all_0_49_49 = e4) % 57.91/23.65 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.91/23.65 | % 57.91/23.65 +-Applying beta-rule and splitting (8013), into two cases. % 57.91/23.65 |-Branch one: % 57.91/23.65 | (1298) all_0_53_53 = e4 % 57.91/23.65 | % 57.91/23.66 | Combining equations (665,1298) yields a new equation: % 57.91/23.66 | (425) e4 = e3 % 57.91/23.66 | % 57.91/23.66 | Equations (425) can reduce 188 to: % 57.91/23.66 | (266) $false % 57.91/23.66 | % 57.91/23.66 |-The branch is then unsatisfiable % 57.91/23.66 |-Branch two: % 57.91/23.66 | (1453) ~ (all_0_53_53 = e4) % 57.91/23.66 | (910) all_0_58_58 = e4 % 57.91/23.66 | % 57.91/23.66 | From (910) and (245) follows: % 57.91/23.66 | (2661) op(e0, e0) = e4 % 57.91/23.66 | % 57.91/23.66 +-Applying beta-rule and splitting (56), into two cases. % 57.91/23.66 |-Branch one: % 57.91/23.66 | (696) unit = e2 % 57.91/23.66 | % 57.91/23.66 | From (696) and (209) follows: % 57.91/23.66 | (7585) op(e2, e0) = e0 % 57.91/23.66 | % 57.91/23.66 | From (696) and (28) follows: % 57.91/23.66 | (699) op(e1, e2) = e1 % 57.91/23.66 | % 57.91/23.66 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 57.91/23.66 | (330) e2 = e0 % 57.91/23.66 | % 57.91/23.66 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 57.91/23.66 | (617) e2 = e1 % 57.91/23.66 | % 57.91/23.66 | Combining equations (330,617) yields a new equation: % 57.91/23.66 | (431) e1 = e0 % 57.91/23.66 | % 57.91/23.66 | Equations (431) can reduce 233 to: % 57.91/23.66 | (266) $false % 57.91/23.66 | % 57.91/23.66 |-The branch is then unsatisfiable % 57.91/23.66 |-Branch two: % 57.91/23.66 | (707) ~ (unit = e2) % 57.99/23.66 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (708), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (709) unit = e4 % 57.99/23.66 | % 57.99/23.66 | From (709) and (227) follows: % 57.99/23.66 | (710) op(e4, e4) = e4 % 57.99/23.66 | % 57.99/23.66 | From (709) and (40) follows: % 57.99/23.66 | (711) op(e3, e4) = e3 % 57.99/23.66 | % 57.99/23.66 | From (709) and (32) follows: % 57.99/23.66 | (712) op(e2, e4) = e2 % 57.99/23.66 | % 57.99/23.66 | From (709) and (42) follows: % 57.99/23.66 | (713) op(e0, e4) = e0 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.99/23.66 | (630) e4 = e1 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.99/23.66 | (662) e3 = e2 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.99/23.66 | (323) e4 = e2 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.99/23.66 | (676) e3 = e0 % 57.99/23.66 | % 57.99/23.66 | Combining equations (323,630) yields a new equation: % 57.99/23.66 | (616) e2 = e1 % 57.99/23.66 | % 57.99/23.66 | Simplifying 616 yields: % 57.99/23.66 | (617) e2 = e1 % 57.99/23.66 | % 57.99/23.66 | Combining equations (662,676) yields a new equation: % 57.99/23.66 | (391) e2 = e0 % 57.99/23.66 | % 57.99/23.66 | Simplifying 391 yields: % 57.99/23.66 | (330) e2 = e0 % 57.99/23.66 | % 57.99/23.66 | Combining equations (330,617) yields a new equation: % 57.99/23.66 | (431) e1 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (431) can reduce 233 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (724) ~ (unit = e4) % 57.99/23.66 | (725) unit = e3 | unit = e1 | unit = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (725), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (726) unit = e0 % 57.99/23.66 | % 57.99/23.66 | From (726) and (244) follows: % 57.99/23.66 | (2207) op(e0, e4) = e4 % 57.99/23.66 | % 57.99/23.66 | From (726) and (28) follows: % 57.99/23.66 | (2698) op(e1, e0) = e1 % 57.99/23.66 | % 57.99/23.66 | From (726) and (42) follows: % 57.99/23.66 | (728) op(e0, e0) = e0 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 57.99/23.66 | (455) e3 = e1 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.99/23.66 | (425) e4 = e3 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 57.99/23.66 | (397) e4 = e0 % 57.99/23.66 | % 57.99/23.66 | Combining equations (425,397) yields a new equation: % 57.99/23.66 | (675) e3 = e0 % 57.99/23.66 | % 57.99/23.66 | Simplifying 675 yields: % 57.99/23.66 | (676) e3 = e0 % 57.99/23.66 | % 57.99/23.66 | Combining equations (455,676) yields a new equation: % 57.99/23.66 | (546) e1 = e0 % 57.99/23.66 | % 57.99/23.66 | Simplifying 546 yields: % 57.99/23.66 | (431) e1 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (431) can reduce 233 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (734) ~ (unit = e0) % 57.99/23.66 | (735) unit = e3 | unit = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (735), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (736) unit = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (736) can reduce 734 to: % 57.99/23.66 | (233) ~ (e1 = e0) % 57.99/23.66 | % 57.99/23.66 | From (736) and (32) follows: % 57.99/23.66 | (347) op(e2, e1) = e2 % 57.99/23.66 | % 57.99/23.66 | From (736) and (42) follows: % 57.99/23.66 | (3221) op(e0, e1) = e0 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 57.99/23.66 | (617) e2 = e1 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.99/23.66 | (330) e2 = e0 % 57.99/23.66 | % 57.99/23.66 | Combining equations (330,617) yields a new equation: % 57.99/23.66 | (431) e1 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (431) can reduce 233 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (748) ~ (unit = e1) % 57.99/23.66 | (749) unit = e3 % 57.99/23.66 | % 57.99/23.66 | From (749) and (209) follows: % 57.99/23.66 | (1667) op(e3, e0) = e0 % 57.99/23.66 | % 57.99/23.66 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 57.99/23.66 | (431) e1 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (431) can reduce 233 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (678) ~ (all_0_47_47 = e0) % 57.99/23.66 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (1831), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (654) all_0_47_47 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (654) can reduce 462 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (462) ~ (all_0_47_47 = e1) % 57.99/23.66 | (522) all_0_47_47 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (522) can reduce 1091 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (340) ~ (all_0_49_49 = e2) % 57.99/23.66 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (150), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (1378) all_0_40_40 = e4 % 57.99/23.66 | % 57.99/23.66 | Combining equations (1378,485) yields a new equation: % 57.99/23.66 | (481) e4 = e0 % 57.99/23.66 | % 57.99/23.66 | Simplifying 481 yields: % 57.99/23.66 | (397) e4 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (397) can reduce 49 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (447) ~ (all_0_40_40 = e4) % 57.99/23.66 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (171), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (265) all_0_54_54 = e4 % 57.99/23.66 | % 57.99/23.66 | Combining equations (268,265) yields a new equation: % 57.99/23.66 | (425) e4 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (425) can reduce 188 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (258) ~ (all_0_54_54 = e4) % 57.99/23.66 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (268) can reduce 258 to: % 57.99/23.66 | (277) ~ (e4 = e3) % 57.99/23.66 | % 57.99/23.66 | Simplifying 277 yields: % 57.99/23.66 | (188) ~ (e4 = e3) % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (2271), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (446) all_0_44_44 = e4 % 57.99/23.66 | % 57.99/23.66 | Combining equations (446,635) yields a new equation: % 57.99/23.66 | (636) e4 = e1 % 57.99/23.66 | % 57.99/23.66 | Simplifying 636 yields: % 57.99/23.66 | (630) e4 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (630) can reduce 110 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (1390) ~ (all_0_44_44 = e4) % 57.99/23.66 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (1793), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (674) all_0_47_47 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (674) can reduce 86 to: % 57.99/23.66 | (486) ~ (all_0_49_49 = e0) % 57.99/23.66 | % 57.99/23.66 | Simplifying 486 yields: % 57.99/23.66 | (487) ~ (all_0_49_49 = e0) % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (7998), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (974) all_0_49_49 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (974) can reduce 256 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (256) ~ (all_0_49_49 = e4) % 57.99/23.66 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (8013), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (1298) all_0_53_53 = e4 % 57.99/23.66 | % 57.99/23.66 | Combining equations (665,1298) yields a new equation: % 57.99/23.66 | (425) e4 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (425) can reduce 188 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (1453) ~ (all_0_53_53 = e4) % 57.99/23.66 | (910) all_0_58_58 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (910) can reduce 119 to: % 57.99/23.66 | (256) ~ (all_0_49_49 = e4) % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (586), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (974) all_0_49_49 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (974) can reduce 256 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (256) ~ (all_0_49_49 = e4) % 57.99/23.66 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (977), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (978) all_0_49_49 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (978) can reduce 487 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (487) ~ (all_0_49_49 = e0) % 57.99/23.66 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (981), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (671) all_0_49_49 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (671) can reduce 1064 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (1064) ~ (all_0_49_49 = e1) % 57.99/23.66 | (884) all_0_49_49 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (884) can reduce 525 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (678) ~ (all_0_47_47 = e0) % 57.99/23.66 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (1831), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (654) all_0_47_47 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (654) can reduce 462 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (462) ~ (all_0_47_47 = e1) % 57.99/23.66 | (522) all_0_47_47 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (522) can reduce 1091 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (1377) ~ (all_0_39_39 = e4) % 57.99/23.66 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (1789), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (1790) all_0_47_47 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (1790) can reduce 252 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (252) ~ (all_0_47_47 = e4) % 57.99/23.66 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (320), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (471) all_0_39_39 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (471) can reduce 1377 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (1377) ~ (all_0_39_39 = e4) % 57.99/23.66 | (480) all_0_39_39 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (480) can reduce 79 to: % 57.99/23.66 | (1402) ~ (all_0_47_47 = e0) % 57.99/23.66 | % 57.99/23.66 | Simplifying 1402 yields: % 57.99/23.66 | (678) ~ (all_0_47_47 = e0) % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (1793), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (674) all_0_47_47 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (674) can reduce 678 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (678) ~ (all_0_47_47 = e0) % 57.99/23.66 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (1831), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (654) all_0_47_47 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (654) can reduce 462 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (462) ~ (all_0_47_47 = e1) % 57.99/23.66 | (522) all_0_47_47 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (522) can reduce 1091 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (466) ~ (all_0_56_56 = e1) % 57.99/23.66 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (108), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (624) all_0_58_58 = e2 % 57.99/23.66 | % 57.99/23.66 | Equations (624) can reduce 908 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (908) ~ (all_0_58_58 = e2) % 57.99/23.66 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (909), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (910) all_0_58_58 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (910) can reduce 44 to: % 57.99/23.66 | (477) ~ (all_0_56_56 = e4) % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (133), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (833) all_0_56_56 = e2 % 57.99/23.66 | % 57.99/23.66 | Equations (833) can reduce 511 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (511) ~ (all_0_56_56 = e2) % 57.99/23.66 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (836), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (842) all_0_56_56 = e4 % 57.99/23.66 | % 57.99/23.66 | Equations (842) can reduce 477 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (477) ~ (all_0_56_56 = e4) % 57.99/23.66 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (845), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (679) all_0_56_56 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (679) can reduce 828 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (828) ~ (all_0_56_56 = e0) % 57.99/23.66 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (3172), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (1569) all_0_56_56 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (1569) can reduce 466 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (466) ~ (all_0_56_56 = e1) % 57.99/23.66 | (1097) all_0_56_56 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (1097) can reduce 272 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (451) ~ (all_0_58_58 = e4) % 57.99/23.66 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (913), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (914) all_0_58_58 = e0 % 57.99/23.66 | % 57.99/23.66 | Equations (914) can reduce 491 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (491) ~ (all_0_58_58 = e0) % 57.99/23.66 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 57.99/23.66 | % 57.99/23.66 +-Applying beta-rule and splitting (917), into two cases. % 57.99/23.66 |-Branch one: % 57.99/23.66 | (918) all_0_58_58 = e1 % 57.99/23.66 | % 57.99/23.66 | Equations (918) can reduce 880 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (880) ~ (all_0_58_58 = e1) % 57.99/23.66 | (795) all_0_58_58 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (795) can reduce 276 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.66 |-Branch two: % 57.99/23.66 | (639) ~ (all_0_44_44 = e1) % 57.99/23.66 | (532) all_0_44_44 = e3 % 57.99/23.66 | % 57.99/23.66 | Equations (532) can reduce 407 to: % 57.99/23.66 | (266) $false % 57.99/23.66 | % 57.99/23.66 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (405) ~ (all_0_42_42 = e3) % 57.99/23.67 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1899), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (516) all_0_42_42 = e3 % 57.99/23.67 | % 57.99/23.67 | Equations (516) can reduce 405 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (405) ~ (all_0_42_42 = e3) % 57.99/23.67 | (532) all_0_44_44 = e3 % 57.99/23.67 | % 57.99/23.67 | Equations (532) can reduce 9 to: % 57.99/23.67 | (524) ~ (all_0_49_49 = e3) % 57.99/23.67 | % 57.99/23.67 | Simplifying 524 yields: % 57.99/23.67 | (525) ~ (all_0_49_49 = e3) % 57.99/23.67 | % 57.99/23.67 | Equations (532) can reduce 220 to: % 57.99/23.67 | (1114) ~ (all_0_53_53 = e3) % 57.99/23.67 | % 57.99/23.67 | Simplifying 1114 yields: % 57.99/23.67 | (903) ~ (all_0_53_53 = e3) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (377), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (583) all_0_49_49 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (583) can reduce 525 to: % 57.99/23.67 | (626) ~ (e3 = e2) % 57.99/23.67 | % 57.99/23.67 | Simplifying 626 yields: % 57.99/23.67 | (212) ~ (e3 = e2) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (418), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (660) all_0_51_51 = e3 % 57.99/23.67 | % 57.99/23.67 | Combining equations (504,660) yields a new equation: % 57.99/23.67 | (662) e3 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (662) can reduce 212 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (664) ~ (all_0_51_51 = e3) % 57.99/23.67 | (665) all_0_53_53 = e3 % 57.99/23.67 | % 57.99/23.67 | Equations (665) can reduce 903 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (340) ~ (all_0_49_49 = e2) % 57.99/23.67 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (614), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (607) all_0_53_53 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (607) can reduce 509 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (509) ~ (all_0_53_53 = e2) % 57.99/23.67 | (624) all_0_58_58 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (624) can reduce 908 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (1099) ~ (all_0_51_51 = e2) % 57.99/23.67 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1100), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (1101) all_0_51_51 = e4 % 57.99/23.67 | % 57.99/23.67 | Equations (1101) can reduce 475 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (475) ~ (all_0_51_51 = e4) % 57.99/23.67 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1104), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (1109) all_0_51_51 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (1109) can reduce 464 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (464) ~ (all_0_51_51 = e1) % 57.99/23.67 | (660) all_0_51_51 = e3 % 57.99/23.67 | % 57.99/23.67 | Equations (660) can reduce 139 to: % 57.99/23.67 | (246) ~ (all_0_39_39 = e3) % 57.99/23.67 | % 57.99/23.67 | Equations (660) can reduce 61 to: % 57.99/23.67 | (405) ~ (all_0_42_42 = e3) % 57.99/23.67 | % 57.99/23.67 | Equations (660) can reduce 224 to: % 57.99/23.67 | (1091) ~ (all_0_47_47 = e3) % 57.99/23.67 | % 57.99/23.67 | Equations (660) can reduce 16 to: % 57.99/23.67 | (271) ~ (all_0_56_56 = e3) % 57.99/23.67 | % 57.99/23.67 | Simplifying 271 yields: % 57.99/23.67 | (272) ~ (all_0_56_56 = e3) % 57.99/23.67 | % 57.99/23.67 | Equations (660) can reduce 464 to: % 57.99/23.67 | (213) ~ (e3 = e1) % 57.99/23.67 | % 57.99/23.67 | From (660) and (186) follows: % 57.99/23.67 | (1552) op(e1, e2) = e3 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (196), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (607) all_0_53_53 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (607) can reduce 220 to: % 57.99/23.67 | (147) ~ (all_0_44_44 = e2) % 57.99/23.67 | % 57.99/23.67 | Equations (607) can reduce 65 to: % 57.99/23.67 | (340) ~ (all_0_49_49 = e2) % 57.99/23.67 | % 57.99/23.67 | Equations (607) can reduce 1459 to: % 57.99/23.67 | (122) ~ (e2 = e1) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (189), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (532) all_0_44_44 = e3 % 57.99/23.67 | % 57.99/23.67 | Equations (532) can reduce 181 to: % 57.99/23.67 | (275) ~ (all_0_58_58 = e3) % 57.99/23.67 | % 57.99/23.67 | Simplifying 275 yields: % 57.99/23.67 | (276) ~ (all_0_58_58 = e3) % 57.99/23.67 | % 57.99/23.67 | Equations (532) can reduce 147 to: % 57.99/23.67 | (212) ~ (e3 = e2) % 57.99/23.67 | % 57.99/23.67 | From (532) and (138) follows: % 57.99/23.67 | (1639) op(e3, e0) = e3 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (458), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (459) all_0_42_42 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (459) can reduce 198 to: % 57.99/23.67 | (461) ~ (all_0_47_47 = e1) % 57.99/23.67 | % 57.99/23.67 | Simplifying 461 yields: % 57.99/23.67 | (462) ~ (all_0_47_47 = e1) % 57.99/23.67 | % 57.99/23.67 | Equations (459) can reduce 236 to: % 57.99/23.67 | (465) ~ (all_0_56_56 = e1) % 57.99/23.67 | % 57.99/23.67 | Simplifying 465 yields: % 57.99/23.67 | (466) ~ (all_0_56_56 = e1) % 57.99/23.67 | % 57.99/23.67 | Equations (459) can reduce 51 to: % 57.99/23.67 | (604) ~ (e2 = e1) % 57.99/23.67 | % 57.99/23.67 | Simplifying 604 yields: % 57.99/23.67 | (122) ~ (e2 = e1) % 57.99/23.67 | % 57.99/23.67 | Equations (459) can reduce 358 to: % 57.99/23.67 | (233) ~ (e1 = e0) % 57.99/23.67 | % 57.99/23.67 | From (459) and (210) follows: % 57.99/23.67 | (470) op(e3, e2) = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (10171), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (1105) all_0_47_47 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (1105) can reduce 86 to: % 57.99/23.67 | (339) ~ (all_0_49_49 = e2) % 57.99/23.67 | % 57.99/23.67 | Simplifying 339 yields: % 57.99/23.67 | (340) ~ (all_0_49_49 = e2) % 57.99/23.67 | % 57.99/23.67 | Equations (1105) can reduce 91 to: % 57.99/23.67 | (510) ~ (all_0_56_56 = e2) % 57.99/23.67 | % 57.99/23.67 | Simplifying 510 yields: % 57.99/23.67 | (511) ~ (all_0_56_56 = e2) % 57.99/23.67 | % 57.99/23.67 | Equations (1105) can reduce 462 to: % 57.99/23.67 | (122) ~ (e2 = e1) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (216), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (629) all_0_55_55 = e1 % 57.99/23.67 | % 57.99/23.67 | Combining equations (629,858) yields a new equation: % 57.99/23.67 | (546) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Simplifying 546 yields: % 57.99/23.67 | (431) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (431) can reduce 233 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (632) ~ (all_0_55_55 = e1) % 57.99/23.67 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (633), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (1569) all_0_56_56 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (1569) can reduce 466 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (466) ~ (all_0_56_56 = e1) % 57.99/23.67 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (104), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (480) all_0_39_39 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (480) can reduce 176 to: % 57.99/23.67 | (1400) ~ (all_0_40_40 = e0) % 57.99/23.67 | % 57.99/23.67 | Simplifying 1400 yields: % 57.99/23.67 | (1401) ~ (all_0_40_40 = e0) % 57.99/23.67 | % 57.99/23.67 | Equations (480) can reduce 154 to: % 57.99/23.67 | (1181) ~ (all_0_56_56 = e0) % 57.99/23.67 | % 57.99/23.67 | Simplifying 1181 yields: % 57.99/23.67 | (828) ~ (all_0_56_56 = e0) % 57.99/23.67 | % 57.99/23.67 | Equations (480) can reduce 246 to: % 57.99/23.67 | (541) ~ (e3 = e0) % 57.99/23.67 | % 57.99/23.67 | Simplifying 541 yields: % 57.99/23.67 | (80) ~ (e3 = e0) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (75), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (485) all_0_40_40 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (485) can reduce 1401 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (1401) ~ (all_0_40_40 = e0) % 57.99/23.67 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (54), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (583) all_0_49_49 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (583) can reduce 340 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (340) ~ (all_0_49_49 = e2) % 57.99/23.67 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (133), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (833) all_0_56_56 = e2 % 57.99/23.67 | % 57.99/23.67 | Equations (833) can reduce 511 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (511) ~ (all_0_56_56 = e2) % 57.99/23.67 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (586), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (974) all_0_49_49 = e4 % 57.99/23.67 | % 57.99/23.67 | Equations (974) can reduce 256 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (256) ~ (all_0_49_49 = e4) % 57.99/23.67 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (836), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (842) all_0_56_56 = e4 % 57.99/23.67 | % 57.99/23.67 | From (842) and (111) follows: % 57.99/23.67 | (2154) op(e0, e2) = e4 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (977), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (978) all_0_49_49 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (978) can reduce 119 to: % 57.99/23.67 | (490) ~ (all_0_58_58 = e0) % 57.99/23.67 | % 57.99/23.67 | Simplifying 490 yields: % 57.99/23.67 | (491) ~ (all_0_58_58 = e0) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1574), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (647) all_0_57_57 = e1 % 57.99/23.67 | % 57.99/23.67 | Combining equations (647,442) yields a new equation: % 57.99/23.67 | (617) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (617) can reduce 122 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (1670) ~ (all_0_57_57 = e1) % 57.99/23.67 | (918) all_0_58_58 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (918) can reduce 276 to: % 57.99/23.67 | (467) ~ (e3 = e1) % 57.99/23.67 | % 57.99/23.67 | Simplifying 467 yields: % 57.99/23.67 | (213) ~ (e3 = e1) % 57.99/23.67 | % 57.99/23.67 | Equations (918) can reduce 491 to: % 57.99/23.67 | (233) ~ (e1 = e0) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (56), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (696) unit = e2 % 57.99/23.67 | % 57.99/23.67 | From (696) and (28) follows: % 57.99/23.67 | (699) op(e1, e2) = e1 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 57.99/23.67 | (455) e3 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (455) can reduce 213 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (707) ~ (unit = e2) % 57.99/23.67 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (708), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (709) unit = e4 % 57.99/23.67 | % 57.99/23.67 | From (709) and (227) follows: % 57.99/23.67 | (710) op(e4, e4) = e4 % 57.99/23.67 | % 57.99/23.67 | From (709) and (40) follows: % 57.99/23.67 | (711) op(e3, e4) = e3 % 57.99/23.67 | % 57.99/23.67 | From (709) and (32) follows: % 57.99/23.67 | (712) op(e2, e4) = e2 % 57.99/23.67 | % 57.99/23.67 | From (709) and (42) follows: % 57.99/23.67 | (713) op(e0, e4) = e0 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.99/23.67 | (630) e4 = e1 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.99/23.67 | (662) e3 = e2 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.99/23.67 | (323) e4 = e2 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.99/23.67 | (676) e3 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (630,323) yields a new equation: % 57.99/23.67 | (617) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Combining equations (662,676) yields a new equation: % 57.99/23.67 | (391) e2 = e0 % 57.99/23.67 | % 57.99/23.67 | Simplifying 391 yields: % 57.99/23.67 | (330) e2 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (617,330) yields a new equation: % 57.99/23.67 | (546) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Simplifying 546 yields: % 57.99/23.67 | (431) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (431) can reduce 233 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (724) ~ (unit = e4) % 57.99/23.67 | (725) unit = e3 | unit = e1 | unit = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (725), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (726) unit = e0 % 57.99/23.67 | % 57.99/23.67 | From (726) and (244) follows: % 57.99/23.67 | (2207) op(e0, e4) = e4 % 57.99/23.67 | % 57.99/23.67 | From (726) and (24) follows: % 57.99/23.67 | (2208) op(e0, e3) = e3 % 57.99/23.67 | % 57.99/23.67 | From (726) and (15) follows: % 57.99/23.67 | (1508) op(e0, e2) = e2 % 57.99/23.67 | % 57.99/23.67 | From (726) and (211) follows: % 57.99/23.67 | (15180) op(e0, e1) = e1 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 57.99/23.67 | (425) e4 = e3 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 57.99/23.67 | (676) e3 = e0 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 57.99/23.67 | (323) e4 = e2 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 57.99/23.67 | (617) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Combining equations (323,425) yields a new equation: % 57.99/23.67 | (662) e3 = e2 % 57.99/23.67 | % 57.99/23.67 | Combining equations (662,676) yields a new equation: % 57.99/23.67 | (391) e2 = e0 % 57.99/23.67 | % 57.99/23.67 | Simplifying 391 yields: % 57.99/23.67 | (330) e2 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (330,617) yields a new equation: % 57.99/23.67 | (431) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (431) can reduce 233 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (734) ~ (unit = e0) % 57.99/23.67 | (735) unit = e3 | unit = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (735), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (736) unit = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (736) can reduce 734 to: % 57.99/23.67 | (233) ~ (e1 = e0) % 57.99/23.67 | % 57.99/23.67 | From (736) and (24) follows: % 57.99/23.67 | (1934) op(e1, e3) = e3 % 57.99/23.67 | % 57.99/23.67 | From (736) and (15) follows: % 57.99/23.67 | (515) op(e1, e2) = e2 % 57.99/23.67 | % 57.99/23.67 | From (736) and (42) follows: % 57.99/23.67 | (3221) op(e0, e1) = e0 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 57.99/23.67 | (455) e3 = e1 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 57.99/23.67 | (662) e3 = e2 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 57.99/23.67 | (330) e2 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (662,455) yields a new equation: % 57.99/23.67 | (616) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Simplifying 616 yields: % 57.99/23.67 | (617) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Combining equations (617,330) yields a new equation: % 57.99/23.67 | (546) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Simplifying 546 yields: % 57.99/23.67 | (431) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (431) can reduce 233 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (748) ~ (unit = e1) % 57.99/23.67 | (749) unit = e3 % 57.99/23.67 | % 57.99/23.67 | From (749) and (244) follows: % 57.99/23.67 | (750) op(e3, e4) = e4 % 57.99/23.67 | % 57.99/23.67 | From (749) and (15) follows: % 57.99/23.67 | (751) op(e3, e2) = e2 % 57.99/23.67 | % 57.99/23.67 | From (749) and (209) follows: % 57.99/23.67 | (1667) op(e3, e0) = e0 % 57.99/23.67 | % 57.99/23.67 | From (749) and (40) follows: % 57.99/23.67 | (3715) op(e3, e3) = e3 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 57.99/23.67 | (323) e4 = e2 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 57.99/23.67 | (425) e4 = e3 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e3, e2, e2, e1 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e1, yields: % 57.99/23.67 | (617) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 57.99/23.67 | (676) e3 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (323,425) yields a new equation: % 57.99/23.67 | (662) e3 = e2 % 57.99/23.67 | % 57.99/23.67 | Combining equations (676,662) yields a new equation: % 57.99/23.67 | (330) e2 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (330,617) yields a new equation: % 57.99/23.67 | (431) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (431) can reduce 233 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (487) ~ (all_0_49_49 = e0) % 57.99/23.67 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1574), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (647) all_0_57_57 = e1 % 57.99/23.67 | % 57.99/23.67 | Combining equations (647,442) yields a new equation: % 57.99/23.67 | (617) e2 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (617) can reduce 122 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (1670) ~ (all_0_57_57 = e1) % 57.99/23.67 | (918) all_0_58_58 = e1 % 57.99/23.67 | % 57.99/23.67 | Equations (918) can reduce 491 to: % 57.99/23.67 | (233) ~ (e1 = e0) % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1748), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (1414) all_0_44_44 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (532,1414) yields a new equation: % 57.99/23.67 | (675) e3 = e0 % 57.99/23.67 | % 57.99/23.67 | Simplifying 675 yields: % 57.99/23.67 | (676) e3 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (676) can reduce 80 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (360) ~ (all_0_44_44 = e0) % 57.99/23.67 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (1760), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (978) all_0_49_49 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (978) can reduce 487 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (487) ~ (all_0_49_49 = e0) % 57.99/23.67 | (914) all_0_58_58 = e0 % 57.99/23.67 | % 57.99/23.67 | Combining equations (914,918) yields a new equation: % 57.99/23.67 | (431) e1 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (431) can reduce 233 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (477) ~ (all_0_56_56 = e4) % 57.99/23.67 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (845), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.67 | (679) all_0_56_56 = e0 % 57.99/23.67 | % 57.99/23.67 | Equations (679) can reduce 828 to: % 57.99/23.67 | (266) $false % 57.99/23.67 | % 57.99/23.67 |-The branch is then unsatisfiable % 57.99/23.67 |-Branch two: % 57.99/23.67 | (828) ~ (all_0_56_56 = e0) % 57.99/23.67 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 57.99/23.67 | % 57.99/23.67 +-Applying beta-rule and splitting (3172), into two cases. % 57.99/23.67 |-Branch one: % 57.99/23.68 | (1569) all_0_56_56 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (1569) can reduce 466 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (466) ~ (all_0_56_56 = e1) % 57.99/23.68 | (1097) all_0_56_56 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (1097) can reduce 272 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (484) ~ (all_0_39_39 = e0) % 57.99/23.68 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (133), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (833) all_0_56_56 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (833) can reduce 511 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (511) ~ (all_0_56_56 = e2) % 57.99/23.68 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (333), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (480) all_0_39_39 = e0 % 57.99/23.68 | % 57.99/23.68 | Equations (480) can reduce 484 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (484) ~ (all_0_39_39 = e0) % 57.99/23.68 | (485) all_0_40_40 = e0 % 57.99/23.68 | % 57.99/23.68 | Equations (485) can reduce 176 to: % 57.99/23.68 | (484) ~ (all_0_39_39 = e0) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (836), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (842) all_0_56_56 = e4 % 57.99/23.68 | % 57.99/23.68 | Equations (842) can reduce 154 to: % 57.99/23.68 | (1377) ~ (all_0_39_39 = e4) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (320), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (471) all_0_39_39 = e4 % 57.99/23.68 | % 57.99/23.68 | Equations (471) can reduce 1377 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1377) ~ (all_0_39_39 = e4) % 57.99/23.68 | (480) all_0_39_39 = e0 % 57.99/23.68 | % 57.99/23.68 | Equations (480) can reduce 484 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (477) ~ (all_0_56_56 = e4) % 57.99/23.68 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (845), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (679) all_0_56_56 = e0 % 57.99/23.68 | % 57.99/23.68 | Equations (679) can reduce 828 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (828) ~ (all_0_56_56 = e0) % 57.99/23.68 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (3172), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1569) all_0_56_56 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (1569) can reduce 466 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (466) ~ (all_0_56_56 = e1) % 57.99/23.68 | (1097) all_0_56_56 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (1097) can reduce 272 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (338) ~ (all_0_47_47 = e2) % 57.99/23.68 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (10761), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (335) all_0_48_48 = e2 % 57.99/23.68 | % 57.99/23.68 | Combining equations (335,615) yields a new equation: % 57.99/23.68 | (616) e2 = e1 % 57.99/23.68 | % 57.99/23.68 | Simplifying 616 yields: % 57.99/23.68 | (617) e2 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (617) can reduce 122 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (810) ~ (all_0_48_48 = e2) % 57.99/23.68 | (583) all_0_49_49 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (583) can reduce 340 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1380) ~ (all_0_42_42 = e1) % 57.99/23.68 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (385), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1105) all_0_47_47 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (1105) can reduce 462 to: % 57.99/23.68 | (122) ~ (e2 = e1) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (112), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (635) all_0_44_44 = e1 % 57.99/23.68 | % 57.99/23.68 | Combining equations (635,532) yields a new equation: % 57.99/23.68 | (455) e3 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (455) can reduce 213 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (639) ~ (all_0_44_44 = e1) % 57.99/23.68 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (640), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (671) all_0_49_49 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (671) can reduce 1064 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1064) ~ (all_0_49_49 = e1) % 57.99/23.68 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (2141), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1208) all_0_53_53 = e1 % 57.99/23.68 | % 57.99/23.68 | Combining equations (607,1208) yields a new equation: % 57.99/23.68 | (616) e2 = e1 % 57.99/23.68 | % 57.99/23.68 | Simplifying 616 yields: % 57.99/23.68 | (617) e2 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (617) can reduce 122 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1459) ~ (all_0_53_53 = e1) % 57.99/23.68 | (918) all_0_58_58 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (918) can reduce 276 to: % 57.99/23.68 | (467) ~ (e3 = e1) % 57.99/23.68 | % 57.99/23.68 | Simplifying 467 yields: % 57.99/23.68 | (213) ~ (e3 = e1) % 57.99/23.68 | % 57.99/23.68 | Equations (918) can reduce 491 to: % 57.99/23.68 | (233) ~ (e1 = e0) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (1381), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (430) all_0_43_43 = e1 % 57.99/23.68 | % 57.99/23.68 | Combining equations (356,430) yields a new equation: % 57.99/23.68 | (431) e1 = e0 % 57.99/23.68 | % 57.99/23.68 | Equations (431) can reduce 233 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (433) ~ (all_0_43_43 = e1) % 57.99/23.68 | (635) all_0_44_44 = e1 % 57.99/23.68 | % 57.99/23.68 | Combining equations (635,532) yields a new equation: % 57.99/23.68 | (455) e3 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (455) can reduce 213 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (338) ~ (all_0_47_47 = e2) % 57.99/23.68 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (1108), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (504) all_0_51_51 = e2 % 57.99/23.68 | % 57.99/23.68 | Combining equations (660,504) yields a new equation: % 57.99/23.68 | (661) e3 = e2 % 57.99/23.68 | % 57.99/23.68 | Simplifying 661 yields: % 57.99/23.68 | (662) e3 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (662) can reduce 212 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1099) ~ (all_0_51_51 = e2) % 57.99/23.68 | (833) all_0_56_56 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (833) can reduce 511 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (407) ~ (all_0_44_44 = e3) % 57.99/23.68 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (385), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1105) all_0_47_47 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (1105) can reduce 1091 to: % 57.99/23.68 | (626) ~ (e3 = e2) % 57.99/23.68 | % 57.99/23.68 | Simplifying 626 yields: % 57.99/23.68 | (212) ~ (e3 = e2) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (537), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (884) all_0_49_49 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (884) can reduce 525 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (525) ~ (all_0_49_49 = e3) % 57.99/23.68 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (887), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (665) all_0_53_53 = e3 % 57.99/23.68 | % 57.99/23.68 | Combining equations (607,665) yields a new equation: % 57.99/23.68 | (662) e3 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (662) can reduce 212 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (903) ~ (all_0_53_53 = e3) % 57.99/23.68 | (795) all_0_58_58 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (795) can reduce 276 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (338) ~ (all_0_47_47 = e2) % 57.99/23.68 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (10171), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1105) all_0_47_47 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (1105) can reduce 338 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (338) ~ (all_0_47_47 = e2) % 57.99/23.68 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (10761), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (335) all_0_48_48 = e2 % 57.99/23.68 | % 57.99/23.68 | Combining equations (615,335) yields a new equation: % 57.99/23.68 | (617) e2 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (617) can reduce 122 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (810) ~ (all_0_48_48 = e2) % 57.99/23.68 | (583) all_0_49_49 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (583) can reduce 340 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (509) ~ (all_0_53_53 = e2) % 57.99/23.68 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (610), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1298) all_0_53_53 = e4 % 57.99/23.68 | % 57.99/23.68 | Equations (1298) can reduce 1453 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1453) ~ (all_0_53_53 = e4) % 57.99/23.68 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (189), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (532) all_0_44_44 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (532) can reduce 220 to: % 57.99/23.68 | (1114) ~ (all_0_53_53 = e3) % 57.99/23.68 | % 57.99/23.68 | Simplifying 1114 yields: % 57.99/23.68 | (903) ~ (all_0_53_53 = e3) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (1694), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (1208) all_0_53_53 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (1208) can reduce 1459 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (1459) ~ (all_0_53_53 = e1) % 57.99/23.68 | (665) all_0_53_53 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (665) can reduce 903 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (407) ~ (all_0_44_44 = e3) % 57.99/23.68 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (1899), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (516) all_0_42_42 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (516) can reduce 405 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (405) ~ (all_0_42_42 = e3) % 57.99/23.68 | (532) all_0_44_44 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (532) can reduce 407 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (803) ~ (all_0_55_55 = e0) % 57.99/23.68 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (2315), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (629) all_0_55_55 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (629) can reduce 632 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (632) ~ (all_0_55_55 = e1) % 57.99/23.68 | (2336) all_0_55_55 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (2336) can reduce 270 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (759) ~ (all_0_50_50 = e1) % 57.99/23.68 | (415) all_0_50_50 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 411 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (409) ~ (all_0_46_46 = e3) % 57.99/23.68 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (4042), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (415) all_0_50_50 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 411 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (411) ~ (all_0_50_50 = e3) % 57.99/23.68 | (2336) all_0_55_55 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (2336) can reduce 270 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (440) ~ (all_0_41_41 = e4) % 57.99/23.68 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (62), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (321) all_0_38_38 = e4 % 57.99/23.68 | % 57.99/23.68 | Combining equations (292,321) yields a new equation: % 57.99/23.68 | (323) e4 = e2 % 57.99/23.68 | % 57.99/23.68 | Equations (323) can reduce 48 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (325) ~ (all_0_38_38 = e4) % 57.99/23.68 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (4049), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (794) all_0_41_41 = e0 % 57.99/23.68 | % 57.99/23.68 | Equations (794) can reduce 357 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (357) ~ (all_0_41_41 = e0) % 57.99/23.68 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (582), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (437) all_0_41_41 = e4 % 57.99/23.68 | % 57.99/23.68 | Equations (437) can reduce 440 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (440) ~ (all_0_41_41 = e4) % 57.99/23.68 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (4053), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (453) all_0_41_41 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (453) can reduce 149 to: % 57.99/23.68 | (4057) ~ (all_0_44_44 = e1) % 57.99/23.68 | % 57.99/23.68 | Simplifying 4057 yields: % 57.99/23.68 | (639) ~ (all_0_44_44 = e1) % 57.99/23.68 | % 57.99/23.68 | Equations (453) can reduce 43 to: % 57.99/23.68 | (4059) ~ (all_0_46_46 = e1) % 57.99/23.68 | % 57.99/23.68 | Simplifying 4059 yields: % 57.99/23.68 | (549) ~ (all_0_46_46 = e1) % 57.99/23.68 | % 57.99/23.68 | Equations (453) can reduce 221 to: % 57.99/23.68 | (1136) ~ (all_0_50_50 = e1) % 57.99/23.68 | % 57.99/23.68 | Simplifying 1136 yields: % 57.99/23.68 | (759) ~ (all_0_50_50 = e1) % 57.99/23.68 | % 57.99/23.68 | Equations (453) can reduce 191 to: % 57.99/23.68 | (2331) ~ (all_0_55_55 = e1) % 57.99/23.68 | % 57.99/23.68 | Simplifying 2331 yields: % 57.99/23.68 | (632) ~ (all_0_55_55 = e1) % 57.99/23.68 | % 57.99/23.68 | Equations (453) can reduce 85 to: % 57.99/23.68 | (604) ~ (e2 = e1) % 57.99/23.68 | % 57.99/23.68 | Simplifying 604 yields: % 57.99/23.68 | (122) ~ (e2 = e1) % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (422), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (775) all_0_50_50 = e4 % 57.99/23.68 | % 57.99/23.68 | Equations (775) can reduce 566 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (566) ~ (all_0_50_50 = e4) % 57.99/23.68 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 57.99/23.68 | % 57.99/23.68 +-Applying beta-rule and splitting (1444), into two cases. % 57.99/23.68 |-Branch one: % 57.99/23.68 | (601) all_0_50_50 = e1 % 57.99/23.68 | % 57.99/23.68 | Equations (601) can reduce 759 to: % 57.99/23.68 | (266) $false % 57.99/23.68 | % 57.99/23.68 |-The branch is then unsatisfiable % 57.99/23.68 |-Branch two: % 57.99/23.68 | (759) ~ (all_0_50_50 = e1) % 57.99/23.68 | (415) all_0_50_50 = e3 % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 35 to: % 57.99/23.68 | (409) ~ (all_0_46_46 = e3) % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 190 to: % 57.99/23.68 | (1114) ~ (all_0_53_53 = e3) % 57.99/23.68 | % 57.99/23.68 | Simplifying 1114 yields: % 57.99/23.68 | (903) ~ (all_0_53_53 = e3) % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 93 to: % 57.99/23.68 | (269) ~ (all_0_55_55 = e3) % 57.99/23.68 | % 57.99/23.68 | Simplifying 269 yields: % 57.99/23.68 | (270) ~ (all_0_55_55 = e3) % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 566 to: % 57.99/23.68 | (277) ~ (e4 = e3) % 57.99/23.68 | % 57.99/23.68 | Simplifying 277 yields: % 57.99/23.68 | (188) ~ (e4 = e3) % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 302 to: % 57.99/23.68 | (212) ~ (e3 = e2) % 57.99/23.68 | % 57.99/23.68 | Equations (415) can reduce 759 to: % 57.99/23.68 | (213) ~ (e3 = e1) % 57.99/23.68 | % 57.99/23.68 | From (415) and (242) follows: % 57.99/23.69 | (1934) op(e1, e3) = e3 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (123), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (1794) all_0_46_46 = e2 % 57.99/23.69 | % 57.99/23.69 | Equations (1794) can reduce 300 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (300) ~ (all_0_46_46 = e2) % 57.99/23.69 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (769), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (770) all_0_46_46 = e4 % 57.99/23.69 | % 57.99/23.69 | Equations (770) can reduce 250 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (250) ~ (all_0_46_46 = e4) % 57.99/23.69 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (1797), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (770) all_0_46_46 = e4 % 57.99/23.69 | % 57.99/23.69 | Equations (770) can reduce 250 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (250) ~ (all_0_46_46 = e4) % 57.99/23.69 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (774), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (775) all_0_50_50 = e4 % 57.99/23.69 | % 57.99/23.69 | Combining equations (775,415) yields a new equation: % 57.99/23.69 | (424) e4 = e3 % 57.99/23.69 | % 57.99/23.69 | Simplifying 424 yields: % 57.99/23.69 | (425) e4 = e3 % 57.99/23.69 | % 57.99/23.69 | Equations (425) can reduce 188 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (566) ~ (all_0_50_50 = e4) % 57.99/23.69 | (587) all_0_55_55 = e4 % 57.99/23.69 | % 57.99/23.69 | Equations (587) can reduce 58 to: % 57.99/23.69 | (250) ~ (all_0_46_46 = e4) % 57.99/23.69 | % 57.99/23.69 | Equations (587) can reduce 153 to: % 57.99/23.69 | (476) ~ (all_0_56_56 = e4) % 57.99/23.69 | % 57.99/23.69 | Simplifying 476 yields: % 57.99/23.69 | (477) ~ (all_0_56_56 = e4) % 57.99/23.69 | % 57.99/23.69 | Equations (587) can reduce 3 to: % 57.99/23.69 | (450) ~ (all_0_58_58 = e4) % 57.99/23.69 | % 57.99/23.69 | Simplifying 450 yields: % 57.99/23.69 | (451) ~ (all_0_58_58 = e4) % 57.99/23.69 | % 57.99/23.69 | Equations (587) can reduce 270 to: % 57.99/23.69 | (188) ~ (e4 = e3) % 57.99/23.69 | % 57.99/23.69 | Equations (587) can reduce 632 to: % 57.99/23.69 | (110) ~ (e4 = e1) % 57.99/23.69 | % 57.99/23.69 | From (587) and (68) follows: % 57.99/23.69 | (4717) op(e4, e0) = all_0_31_31 % 57.99/23.69 | % 57.99/23.69 | From (587) and (74) follows: % 57.99/23.69 | (589) op(e0, e3) = e4 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (1801), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (538) all_0_46_46 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (538) can reduce 250 to: % 57.99/23.69 | (401) ~ (e4 = e0) % 57.99/23.69 | % 57.99/23.69 | Simplifying 401 yields: % 57.99/23.69 | (49) ~ (e4 = e0) % 57.99/23.69 | % 57.99/23.69 | Equations (538) can reduce 409 to: % 57.99/23.69 | (541) ~ (e3 = e0) % 57.99/23.69 | % 57.99/23.69 | Simplifying 541 yields: % 57.99/23.69 | (80) ~ (e3 = e0) % 57.99/23.69 | % 57.99/23.69 | From (538) and (33) follows: % 57.99/23.69 | (543) op(e0, e3) = all_0_16_16 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e4, e0, all_0_31_31, all_0_40_40 and discharging atoms op(e4, e0) = all_0_31_31, op(e4, e0) = all_0_40_40, yields: % 57.99/23.69 | (16709) all_0_31_31 = all_0_40_40 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e0, e3, e4, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e4, yields: % 57.99/23.69 | (687) all_0_16_16 = e4 % 57.99/23.69 | % 57.99/23.69 | From (16709) and (4717) follows: % 57.99/23.69 | (234) op(e4, e0) = all_0_40_40 % 57.99/23.69 | % 57.99/23.69 | From (687) and (543) follows: % 57.99/23.69 | (589) op(e0, e3) = e4 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (196), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (607) all_0_53_53 = e2 % 57.99/23.69 | % 57.99/23.69 | Equations (607) can reduce 162 to: % 57.99/23.69 | (296) ~ (all_0_40_40 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (607) can reduce 65 to: % 57.99/23.69 | (340) ~ (all_0_49_49 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (607) can reduce 6 to: % 57.99/23.69 | (1099) ~ (all_0_51_51 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (607) can reduce 903 to: % 57.99/23.69 | (626) ~ (e3 = e2) % 57.99/23.69 | % 57.99/23.69 | Simplifying 626 yields: % 57.99/23.69 | (212) ~ (e3 = e2) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (7), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (504) all_0_51_51 = e2 % 57.99/23.69 | % 57.99/23.69 | Equations (504) can reduce 1099 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (1099) ~ (all_0_51_51 = e2) % 57.99/23.69 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (112), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (635) all_0_44_44 = e1 % 57.99/23.69 | % 57.99/23.69 | Equations (635) can reduce 639 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (639) ~ (all_0_44_44 = e1) % 57.99/23.69 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (160), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (601) all_0_50_50 = e1 % 57.99/23.69 | % 57.99/23.69 | Combining equations (415,601) yields a new equation: % 57.99/23.69 | (454) e3 = e1 % 57.99/23.69 | % 57.99/23.69 | Simplifying 454 yields: % 57.99/23.69 | (455) e3 = e1 % 57.99/23.69 | % 57.99/23.69 | Equations (455) can reduce 213 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (759) ~ (all_0_50_50 = e1) % 57.99/23.69 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (1168), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (1109) all_0_51_51 = e1 % 57.99/23.69 | % 57.99/23.69 | Equations (1109) can reduce 61 to: % 57.99/23.69 | (1380) ~ (all_0_42_42 = e1) % 57.99/23.69 | % 57.99/23.69 | Equations (1109) can reduce 224 to: % 57.99/23.69 | (462) ~ (all_0_47_47 = e1) % 57.99/23.69 | % 57.99/23.69 | Equations (1109) can reduce 1099 to: % 57.99/23.69 | (604) ~ (e2 = e1) % 57.99/23.69 | % 57.99/23.69 | Simplifying 604 yields: % 57.99/23.69 | (122) ~ (e2 = e1) % 57.99/23.69 | % 57.99/23.69 | From (1109) and (186) follows: % 57.99/23.69 | (699) op(e1, e2) = e1 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (10171), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (1105) all_0_47_47 = e2 % 57.99/23.69 | % 57.99/23.69 | Equations (1105) can reduce 198 to: % 57.99/23.69 | (51) ~ (all_0_42_42 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (1105) can reduce 91 to: % 57.99/23.69 | (510) ~ (all_0_56_56 = e2) % 57.99/23.69 | % 57.99/23.69 | Simplifying 510 yields: % 57.99/23.69 | (511) ~ (all_0_56_56 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (1105) can reduce 252 to: % 57.99/23.69 | (327) ~ (e4 = e2) % 57.99/23.69 | % 57.99/23.69 | Simplifying 327 yields: % 57.99/23.69 | (48) ~ (e4 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (1105) can reduce 462 to: % 57.99/23.69 | (122) ~ (e2 = e1) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (640), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (671) all_0_49_49 = e1 % 57.99/23.69 | % 57.99/23.69 | Equations (671) can reduce 1064 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (1064) ~ (all_0_49_49 = e1) % 57.99/23.69 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (2141), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (1208) all_0_53_53 = e1 % 57.99/23.69 | % 57.99/23.69 | Combining equations (1208,607) yields a new equation: % 57.99/23.69 | (617) e2 = e1 % 57.99/23.69 | % 57.99/23.69 | Equations (617) can reduce 122 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (1459) ~ (all_0_53_53 = e1) % 57.99/23.69 | (918) all_0_58_58 = e1 % 57.99/23.69 | % 57.99/23.69 | Equations (918) can reduce 178 to: % 57.99/23.69 | (132) ~ (all_0_40_40 = e1) % 57.99/23.69 | % 57.99/23.69 | Equations (918) can reduce 44 to: % 57.99/23.69 | (466) ~ (all_0_56_56 = e1) % 57.99/23.69 | % 57.99/23.69 | Equations (918) can reduce 451 to: % 57.99/23.69 | (602) ~ (e4 = e1) % 57.99/23.69 | % 57.99/23.69 | Simplifying 602 yields: % 57.99/23.69 | (110) ~ (e4 = e1) % 57.99/23.69 | % 57.99/23.69 | Equations (918) can reduce 276 to: % 57.99/23.69 | (467) ~ (e3 = e1) % 57.99/23.69 | % 57.99/23.69 | Simplifying 467 yields: % 57.99/23.69 | (213) ~ (e3 = e1) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (133), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (833) all_0_56_56 = e2 % 57.99/23.69 | % 57.99/23.69 | Equations (833) can reduce 511 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (511) ~ (all_0_56_56 = e2) % 57.99/23.69 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (180), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (516) all_0_42_42 = e3 % 57.99/23.69 | % 57.99/23.69 | Equations (516) can reduce 145 to: % 57.99/23.69 | (246) ~ (all_0_39_39 = e3) % 57.99/23.69 | % 57.99/23.69 | Equations (516) can reduce 73 to: % 57.99/23.69 | (406) ~ (all_0_44_44 = e3) % 57.99/23.69 | % 57.99/23.69 | Simplifying 406 yields: % 57.99/23.69 | (407) ~ (all_0_44_44 = e3) % 57.99/23.69 | % 57.99/23.69 | Equations (516) can reduce 236 to: % 57.99/23.69 | (271) ~ (all_0_56_56 = e3) % 57.99/23.69 | % 57.99/23.69 | Simplifying 271 yields: % 57.99/23.69 | (272) ~ (all_0_56_56 = e3) % 57.99/23.69 | % 57.99/23.69 | Equations (516) can reduce 51 to: % 57.99/23.69 | (212) ~ (e3 = e2) % 57.99/23.69 | % 57.99/23.69 | Equations (516) can reduce 1380 to: % 57.99/23.69 | (213) ~ (e3 = e1) % 57.99/23.69 | % 57.99/23.69 | From (516) and (210) follows: % 57.99/23.69 | (4285) op(e3, e2) = e3 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (26), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (446) all_0_44_44 = e4 % 57.99/23.69 | % 57.99/23.69 | Equations (446) can reduce 143 to: % 57.99/23.69 | (447) ~ (all_0_40_40 = e4) % 57.99/23.69 | % 57.99/23.69 | Equations (446) can reduce 360 to: % 57.99/23.69 | (49) ~ (e4 = e0) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (164), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (471) all_0_39_39 = e4 % 57.99/23.69 | % 57.99/23.69 | Equations (471) can reduce 246 to: % 57.99/23.69 | (188) ~ (e4 = e3) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (104), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (480) all_0_39_39 = e0 % 57.99/23.69 | % 57.99/23.69 | Combining equations (480,471) yields a new equation: % 57.99/23.69 | (397) e4 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (397) can reduce 49 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (484) ~ (all_0_39_39 = e0) % 57.99/23.69 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (471) can reduce 484 to: % 57.99/23.69 | (49) ~ (e4 = e0) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (125), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (858) all_0_55_55 = e0 % 57.99/23.69 | % 57.99/23.69 | Combining equations (587,858) yields a new equation: % 57.99/23.69 | (481) e4 = e0 % 57.99/23.69 | % 57.99/23.69 | Simplifying 481 yields: % 57.99/23.69 | (397) e4 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (397) can reduce 49 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (803) ~ (all_0_55_55 = e0) % 57.99/23.69 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (587) can reduce 803 to: % 57.99/23.69 | (49) ~ (e4 = e0) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (75), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (485) all_0_40_40 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (485) can reduce 200 to: % 57.99/23.69 | (486) ~ (all_0_49_49 = e0) % 57.99/23.69 | % 57.99/23.69 | Simplifying 486 yields: % 57.99/23.69 | (487) ~ (all_0_49_49 = e0) % 57.99/23.69 | % 57.99/23.69 | Equations (485) can reduce 296 to: % 57.99/23.69 | (365) ~ (e2 = e0) % 57.99/23.69 | % 57.99/23.69 | Simplifying 365 yields: % 57.99/23.69 | (128) ~ (e2 = e0) % 57.99/23.69 | % 57.99/23.69 | Equations (485) can reduce 132 to: % 57.99/23.69 | (435) ~ (e1 = e0) % 57.99/23.69 | % 57.99/23.69 | Simplifying 435 yields: % 57.99/23.69 | (233) ~ (e1 = e0) % 57.99/23.69 | % 57.99/23.69 | From (485) and (234) follows: % 57.99/23.69 | (3072) op(e4, e0) = e0 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (189), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (532) all_0_44_44 = e3 % 57.99/23.69 | % 57.99/23.69 | Combining equations (446,532) yields a new equation: % 57.99/23.69 | (424) e4 = e3 % 57.99/23.69 | % 57.99/23.69 | Simplifying 424 yields: % 57.99/23.69 | (425) e4 = e3 % 57.99/23.69 | % 57.99/23.69 | Equations (425) can reduce 188 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (407) ~ (all_0_44_44 = e3) % 57.99/23.69 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (863), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (679) all_0_56_56 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (679) can reduce 466 to: % 57.99/23.69 | (435) ~ (e1 = e0) % 57.99/23.69 | % 57.99/23.69 | Simplifying 435 yields: % 57.99/23.69 | (233) ~ (e1 = e0) % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (537), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (884) all_0_49_49 = e3 % 57.99/23.69 | % 57.99/23.69 | Equations (884) can reduce 487 to: % 57.99/23.69 | (80) ~ (e3 = e0) % 57.99/23.69 | % 57.99/23.69 | From (884) and (55) follows: % 57.99/23.69 | (1581) op(e2, e0) = e3 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (56), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (696) unit = e2 % 57.99/23.69 | % 57.99/23.69 | From (696) and (209) follows: % 57.99/23.69 | (7585) op(e2, e0) = e0 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 57.99/23.69 | (676) e3 = e0 % 57.99/23.69 | % 57.99/23.69 | Equations (676) can reduce 80 to: % 57.99/23.69 | (266) $false % 57.99/23.69 | % 57.99/23.69 |-The branch is then unsatisfiable % 57.99/23.69 |-Branch two: % 57.99/23.69 | (707) ~ (unit = e2) % 57.99/23.69 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 57.99/23.69 | % 57.99/23.69 +-Applying beta-rule and splitting (708), into two cases. % 57.99/23.69 |-Branch one: % 57.99/23.69 | (709) unit = e4 % 57.99/23.69 | % 57.99/23.69 | From (709) and (227) follows: % 57.99/23.69 | (710) op(e4, e4) = e4 % 57.99/23.69 | % 57.99/23.69 | From (709) and (40) follows: % 57.99/23.69 | (711) op(e3, e4) = e3 % 57.99/23.69 | % 57.99/23.69 | From (709) and (32) follows: % 57.99/23.69 | (712) op(e2, e4) = e2 % 57.99/23.69 | % 57.99/23.69 | From (709) and (42) follows: % 57.99/23.69 | (713) op(e0, e4) = e0 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 57.99/23.69 | (630) e4 = e1 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 57.99/23.69 | (662) e3 = e2 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 57.99/23.69 | (323) e4 = e2 % 57.99/23.69 | % 57.99/23.69 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 57.99/23.69 | (676) e3 = e0 % 57.99/23.69 | % 57.99/23.69 | Combining equations (323,630) yields a new equation: % 57.99/23.69 | (616) e2 = e1 % 57.99/23.69 | % 57.99/23.69 | Simplifying 616 yields: % 57.99/23.69 | (617) e2 = e1 % 58.03/23.69 | % 58.03/23.69 | Combining equations (662,676) yields a new equation: % 58.03/23.69 | (391) e2 = e0 % 58.03/23.69 | % 58.03/23.69 | Simplifying 391 yields: % 58.03/23.69 | (330) e2 = e0 % 58.03/23.69 | % 58.03/23.69 | Combining equations (330,617) yields a new equation: % 58.03/23.69 | (431) e1 = e0 % 58.03/23.69 | % 58.03/23.69 | Equations (431) can reduce 233 to: % 58.03/23.69 | (266) $false % 58.03/23.69 | % 58.03/23.69 |-The branch is then unsatisfiable % 58.03/23.69 |-Branch two: % 58.03/23.69 | (724) ~ (unit = e4) % 58.03/23.69 | (725) unit = e3 | unit = e1 | unit = e0 % 58.03/23.69 | % 58.03/23.69 +-Applying beta-rule and splitting (725), into two cases. % 58.03/23.69 |-Branch one: % 58.03/23.69 | (726) unit = e0 % 58.03/23.69 | % 58.03/23.69 | From (726) and (24) follows: % 58.03/23.69 | (2208) op(e0, e3) = e3 % 58.03/23.69 | % 58.03/23.69 | From (726) and (211) follows: % 58.03/23.69 | (15180) op(e0, e1) = e1 % 58.03/23.69 | % 58.03/23.69 | From (726) and (227) follows: % 58.03/23.69 | (3205) op(e4, e0) = e4 % 58.03/23.69 | % 58.03/23.69 | From (726) and (32) follows: % 58.03/23.69 | (727) op(e2, e0) = e2 % 58.03/23.69 | % 58.03/23.69 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 58.03/23.69 | (397) e4 = e0 % 58.03/23.69 | % 58.03/23.69 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 58.03/23.69 | (662) e3 = e2 % 58.03/23.69 | % 58.03/23.69 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 58.03/23.69 | (425) e4 = e3 % 58.03/23.69 | % 58.03/23.69 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.03/23.69 | (617) e2 = e1 % 58.03/23.69 | % 58.03/23.69 | Combining equations (397,425) yields a new equation: % 58.03/23.69 | (676) e3 = e0 % 58.03/23.69 | % 58.03/23.69 | Combining equations (676,662) yields a new equation: % 58.03/23.69 | (330) e2 = e0 % 58.03/23.69 | % 58.03/23.69 | Combining equations (617,330) yields a new equation: % 58.03/23.69 | (546) e1 = e0 % 58.03/23.69 | % 58.03/23.69 | Simplifying 546 yields: % 58.03/23.69 | (431) e1 = e0 % 58.03/23.69 | % 58.03/23.69 | Equations (431) can reduce 233 to: % 58.03/23.69 | (266) $false % 58.03/23.69 | % 58.03/23.69 |-The branch is then unsatisfiable % 58.03/23.69 |-Branch two: % 58.03/23.69 | (734) ~ (unit = e0) % 58.03/23.69 | (735) unit = e3 | unit = e1 % 58.03/23.69 | % 58.03/23.69 +-Applying beta-rule and splitting (735), into two cases. % 58.03/23.69 |-Branch one: % 58.03/23.69 | (736) unit = e1 % 58.03/23.69 | % 58.03/23.69 | Equations (736) can reduce 734 to: % 58.03/23.69 | (233) ~ (e1 = e0) % 58.03/23.69 | % 58.03/23.69 | From (736) and (15) follows: % 58.03/23.69 | (515) op(e1, e2) = e2 % 58.03/23.69 | % 58.03/23.69 | From (736) and (42) follows: % 58.03/23.69 | (3221) op(e0, e1) = e0 % 58.03/23.69 | % 58.03/23.69 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.03/23.69 | (617) e2 = e1 % 58.03/23.69 | % 58.03/23.69 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 58.03/23.69 | (330) e2 = e0 % 58.03/23.69 | % 58.03/23.69 | Combining equations (617,330) yields a new equation: % 58.03/23.69 | (546) e1 = e0 % 58.03/23.69 | % 58.03/23.69 | Simplifying 546 yields: % 58.03/23.69 | (431) e1 = e0 % 58.03/23.69 | % 58.03/23.69 | Equations (431) can reduce 233 to: % 58.03/23.69 | (266) $false % 58.03/23.69 | % 58.03/23.69 |-The branch is then unsatisfiable % 58.03/23.69 |-Branch two: % 58.03/23.69 | (748) ~ (unit = e1) % 58.03/23.70 | (749) unit = e3 % 58.03/23.70 | % 58.03/23.70 | From (749) and (244) follows: % 58.03/23.70 | (750) op(e3, e4) = e4 % 58.03/23.70 | % 58.03/23.70 | From (749) and (15) follows: % 58.03/23.70 | (751) op(e3, e2) = e2 % 58.03/23.70 | % 58.03/23.70 | From (749) and (28) follows: % 58.03/23.70 | (2235) op(e1, e3) = e1 % 58.03/23.70 | % 58.03/23.70 | From (749) and (42) follows: % 58.03/23.70 | (752) op(e0, e3) = e0 % 58.03/23.70 | % 58.03/23.70 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.03/23.70 | (323) e4 = e2 % 58.03/23.70 | % 58.03/23.70 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 58.03/23.70 | (662) e3 = e2 % 58.03/23.70 | % 58.03/23.70 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.03/23.70 | (455) e3 = e1 % 58.03/23.70 | % 58.03/23.70 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.03/23.70 | (397) e4 = e0 % 58.03/23.70 | % 58.03/23.70 | Combining equations (397,323) yields a new equation: % 58.03/23.70 | (330) e2 = e0 % 58.03/23.70 | % 58.03/23.70 | Combining equations (662,455) yields a new equation: % 58.03/23.70 | (616) e2 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 616 yields: % 58.03/23.70 | (617) e2 = e1 % 58.03/23.70 | % 58.03/23.70 | Combining equations (617,330) yields a new equation: % 58.03/23.70 | (546) e1 = e0 % 58.03/23.70 | % 58.03/23.70 | Simplifying 546 yields: % 58.03/23.70 | (431) e1 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (431) can reduce 233 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (525) ~ (all_0_49_49 = e3) % 58.03/23.70 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (887), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (665) all_0_53_53 = e3 % 58.03/23.70 | % 58.03/23.70 | Combining equations (607,665) yields a new equation: % 58.03/23.70 | (662) e3 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (662) can reduce 212 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (903) ~ (all_0_53_53 = e3) % 58.03/23.70 | (795) all_0_58_58 = e3 % 58.03/23.70 | % 58.03/23.70 | Combining equations (795,918) yields a new equation: % 58.03/23.70 | (454) e3 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 454 yields: % 58.03/23.70 | (455) e3 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (455) can reduce 213 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (828) ~ (all_0_56_56 = e0) % 58.03/23.70 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (924), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (875) all_0_57_57 = e0 % 58.03/23.70 | % 58.03/23.70 | Combining equations (442,875) yields a new equation: % 58.03/23.70 | (391) e2 = e0 % 58.03/23.70 | % 58.03/23.70 | Simplifying 391 yields: % 58.03/23.70 | (330) e2 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (330) can reduce 128 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (364) ~ (all_0_57_57 = e0) % 58.03/23.70 | (914) all_0_58_58 = e0 % 58.03/23.70 | % 58.03/23.70 | Combining equations (914,918) yields a new equation: % 58.03/23.70 | (431) e1 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (431) can reduce 233 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1401) ~ (all_0_40_40 = e0) % 58.03/23.70 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (333), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (480) all_0_39_39 = e0 % 58.03/23.70 | % 58.03/23.70 | Combining equations (480,471) yields a new equation: % 58.03/23.70 | (397) e4 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (397) can reduce 49 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (484) ~ (all_0_39_39 = e0) % 58.03/23.70 | (485) all_0_40_40 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (485) can reduce 1401 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1377) ~ (all_0_39_39 = e4) % 58.03/23.70 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (326), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (471) all_0_39_39 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (471) can reduce 1377 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1377) ~ (all_0_39_39 = e4) % 58.03/23.70 | (1378) all_0_40_40 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (1378) can reduce 447 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1390) ~ (all_0_44_44 = e4) % 58.03/23.70 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (64), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (437) all_0_41_41 = e4 % 58.03/23.70 | % 58.03/23.70 | Combining equations (437,453) yields a new equation: % 58.03/23.70 | (636) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 636 yields: % 58.03/23.70 | (630) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (630) can reduce 110 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (440) ~ (all_0_41_41 = e4) % 58.03/23.70 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (453) can reduce 440 to: % 58.03/23.70 | (602) ~ (e4 = e1) % 58.03/23.70 | % 58.03/23.70 | Simplifying 602 yields: % 58.03/23.70 | (110) ~ (e4 = e1) % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (189), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (532) all_0_44_44 = e3 % 58.03/23.70 | % 58.03/23.70 | Equations (532) can reduce 407 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (407) ~ (all_0_44_44 = e3) % 58.03/23.70 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (537), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (884) all_0_49_49 = e3 % 58.03/23.70 | % 58.03/23.70 | Equations (884) can reduce 256 to: % 58.03/23.70 | (277) ~ (e4 = e3) % 58.03/23.70 | % 58.03/23.70 | Simplifying 277 yields: % 58.03/23.70 | (188) ~ (e4 = e3) % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (150), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (1378) all_0_40_40 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (1378) can reduce 176 to: % 58.03/23.70 | (1377) ~ (all_0_39_39 = e4) % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (836), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (842) all_0_56_56 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (842) can reduce 477 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (477) ~ (all_0_56_56 = e4) % 58.03/23.70 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (845), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (679) all_0_56_56 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (679) can reduce 154 to: % 58.03/23.70 | (484) ~ (all_0_39_39 = e0) % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (320), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (471) all_0_39_39 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (471) can reduce 1377 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1377) ~ (all_0_39_39 = e4) % 58.03/23.70 | (480) all_0_39_39 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (480) can reduce 484 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (828) ~ (all_0_56_56 = e0) % 58.03/23.70 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (3172), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (1569) all_0_56_56 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (1569) can reduce 466 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (466) ~ (all_0_56_56 = e1) % 58.03/23.70 | (1097) all_0_56_56 = e3 % 58.03/23.70 | % 58.03/23.70 | Equations (1097) can reduce 272 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (447) ~ (all_0_40_40 = e4) % 58.03/23.70 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (2271), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (446) all_0_44_44 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (446) can reduce 1390 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1390) ~ (all_0_44_44 = e4) % 58.03/23.70 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (7998), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (974) all_0_49_49 = e4 % 58.03/23.70 | % 58.03/23.70 | Combining equations (884,974) yields a new equation: % 58.03/23.70 | (425) e4 = e3 % 58.03/23.70 | % 58.03/23.70 | Equations (425) can reduce 188 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (256) ~ (all_0_49_49 = e4) % 58.03/23.70 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (8013), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (1298) all_0_53_53 = e4 % 58.03/23.70 | % 58.03/23.70 | Combining equations (607,1298) yields a new equation: % 58.03/23.70 | (323) e4 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (323) can reduce 48 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1453) ~ (all_0_53_53 = e4) % 58.03/23.70 | (910) all_0_58_58 = e4 % 58.03/23.70 | % 58.03/23.70 | Combining equations (910,918) yields a new equation: % 58.03/23.70 | (636) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 636 yields: % 58.03/23.70 | (630) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (630) can reduce 110 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (525) ~ (all_0_49_49 = e3) % 58.03/23.70 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (887), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (665) all_0_53_53 = e3 % 58.03/23.70 | % 58.03/23.70 | Combining equations (607,665) yields a new equation: % 58.03/23.70 | (662) e3 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (662) can reduce 212 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (903) ~ (all_0_53_53 = e3) % 58.03/23.70 | (795) all_0_58_58 = e3 % 58.03/23.70 | % 58.03/23.70 | Combining equations (795,918) yields a new equation: % 58.03/23.70 | (454) e3 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 454 yields: % 58.03/23.70 | (455) e3 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (455) can reduce 213 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (405) ~ (all_0_42_42 = e3) % 58.03/23.70 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (521), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (522) all_0_47_47 = e3 % 58.03/23.70 | % 58.03/23.70 | Combining equations (522,1105) yields a new equation: % 58.03/23.70 | (661) e3 = e2 % 58.03/23.70 | % 58.03/23.70 | Simplifying 661 yields: % 58.03/23.70 | (662) e3 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (662) can reduce 212 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1091) ~ (all_0_47_47 = e3) % 58.03/23.70 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (1092), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (660) all_0_51_51 = e3 % 58.03/23.70 | % 58.03/23.70 | Combining equations (1109,660) yields a new equation: % 58.03/23.70 | (455) e3 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (455) can reduce 213 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (664) ~ (all_0_51_51 = e3) % 58.03/23.70 | (1097) all_0_56_56 = e3 % 58.03/23.70 | % 58.03/23.70 | Equations (1097) can reduce 272 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (338) ~ (all_0_47_47 = e2) % 58.03/23.70 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (10761), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (335) all_0_48_48 = e2 % 58.03/23.70 | % 58.03/23.70 | Combining equations (335,615) yields a new equation: % 58.03/23.70 | (616) e2 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 616 yields: % 58.03/23.70 | (617) e2 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (617) can reduce 122 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (810) ~ (all_0_48_48 = e2) % 58.03/23.70 | (583) all_0_49_49 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (583) can reduce 340 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (464) ~ (all_0_51_51 = e1) % 58.03/23.70 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (54), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (583) all_0_49_49 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (583) can reduce 340 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (340) ~ (all_0_49_49 = e2) % 58.03/23.70 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (10171), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (1105) all_0_47_47 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (1105) can reduce 462 to: % 58.03/23.70 | (122) ~ (e2 = e1) % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (1202), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (642) all_0_52_52 = e1 % 58.03/23.70 | % 58.03/23.70 | Combining equations (565,642) yields a new equation: % 58.03/23.70 | (636) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 636 yields: % 58.03/23.70 | (630) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (630) can reduce 110 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (646) ~ (all_0_52_52 = e1) % 58.03/23.70 | (1208) all_0_53_53 = e1 % 58.03/23.70 | % 58.03/23.70 | Combining equations (1208,607) yields a new equation: % 58.03/23.70 | (617) e2 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (617) can reduce 122 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (338) ~ (all_0_47_47 = e2) % 58.03/23.70 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (10761), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (335) all_0_48_48 = e2 % 58.03/23.70 | % 58.03/23.70 | Combining equations (615,335) yields a new equation: % 58.03/23.70 | (617) e2 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (617) can reduce 122 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (810) ~ (all_0_48_48 = e2) % 58.03/23.70 | (583) all_0_49_49 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (583) can reduce 340 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (509) ~ (all_0_53_53 = e2) % 58.03/23.70 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (377), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (583) all_0_49_49 = e2 % 58.03/23.70 | % 58.03/23.70 | Equations (583) can reduce 9 to: % 58.03/23.70 | (147) ~ (all_0_44_44 = e2) % 58.03/23.70 | % 58.03/23.70 | Equations (583) can reduce 86 to: % 58.03/23.70 | (338) ~ (all_0_47_47 = e2) % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (189), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (532) all_0_44_44 = e3 % 58.03/23.70 | % 58.03/23.70 | Equations (532) can reduce 73 to: % 58.03/23.70 | (405) ~ (all_0_42_42 = e3) % 58.03/23.70 | % 58.03/23.70 | Equations (532) can reduce 220 to: % 58.03/23.70 | (1114) ~ (all_0_53_53 = e3) % 58.03/23.70 | % 58.03/23.70 | Simplifying 1114 yields: % 58.03/23.70 | (903) ~ (all_0_53_53 = e3) % 58.03/23.70 | % 58.03/23.70 | Equations (532) can reduce 147 to: % 58.03/23.70 | (212) ~ (e3 = e2) % 58.03/23.70 | % 58.03/23.70 | From (532) and (138) follows: % 58.03/23.70 | (1639) op(e3, e0) = e3 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (64), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (437) all_0_41_41 = e4 % 58.03/23.70 | % 58.03/23.70 | Combining equations (437,453) yields a new equation: % 58.03/23.70 | (636) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Simplifying 636 yields: % 58.03/23.70 | (630) e4 = e1 % 58.03/23.70 | % 58.03/23.70 | Equations (630) can reduce 110 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (440) ~ (all_0_41_41 = e4) % 58.03/23.70 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (441), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (1392) all_0_42_42 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (1392) can reduce 145 to: % 58.03/23.70 | (1377) ~ (all_0_39_39 = e4) % 58.03/23.70 | % 58.03/23.70 | Equations (1392) can reduce 405 to: % 58.03/23.70 | (188) ~ (e4 = e3) % 58.03/23.70 | % 58.03/23.70 | From (1392) and (210) follows: % 58.03/23.70 | (4074) op(e3, e2) = e4 % 58.03/23.70 | % 58.03/23.70 +-Applying beta-rule and splitting (320), into two cases. % 58.03/23.70 |-Branch one: % 58.03/23.70 | (471) all_0_39_39 = e4 % 58.03/23.70 | % 58.03/23.70 | Equations (471) can reduce 1377 to: % 58.03/23.70 | (266) $false % 58.03/23.70 | % 58.03/23.70 |-The branch is then unsatisfiable % 58.03/23.70 |-Branch two: % 58.03/23.70 | (1377) ~ (all_0_39_39 = e4) % 58.03/23.70 | (480) all_0_39_39 = e0 % 58.03/23.70 | % 58.03/23.70 | Equations (480) can reduce 176 to: % 58.03/23.70 | (1400) ~ (all_0_40_40 = e0) % 58.03/23.70 | % 58.03/23.71 | Simplifying 1400 yields: % 58.03/23.71 | (1401) ~ (all_0_40_40 = e0) % 58.03/23.71 | % 58.03/23.71 | Equations (480) can reduce 79 to: % 58.03/23.71 | (1402) ~ (all_0_47_47 = e0) % 58.03/23.71 | % 58.03/23.71 | Simplifying 1402 yields: % 58.03/23.71 | (678) ~ (all_0_47_47 = e0) % 58.03/23.71 | % 58.03/23.71 | Equations (480) can reduce 139 to: % 58.03/23.71 | (1404) ~ (all_0_51_51 = e0) % 58.03/23.71 | % 58.03/23.71 | Simplifying 1404 yields: % 58.03/23.71 | (115) ~ (all_0_51_51 = e0) % 58.03/23.71 | % 58.03/23.71 | Equations (480) can reduce 246 to: % 58.03/23.71 | (541) ~ (e3 = e0) % 58.03/23.71 | % 58.03/23.71 | Simplifying 541 yields: % 58.03/23.71 | (80) ~ (e3 = e0) % 58.03/23.71 | % 58.03/23.71 | From (480) and (14) follows: % 58.03/23.71 | (4090) op(e4, e2) = e0 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (78), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (423) all_0_45_45 = e3 % 58.03/23.71 | % 58.03/23.71 | Combining equations (423,248) yields a new equation: % 58.03/23.71 | (425) e4 = e3 % 58.03/23.71 | % 58.03/23.71 | Equations (425) can reduce 188 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (427) ~ (all_0_45_45 = e3) % 58.03/23.71 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (150), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1378) all_0_40_40 = e4 % 58.03/23.71 | % 58.03/23.71 | Equations (1378) can reduce 162 to: % 58.03/23.71 | (1452) ~ (all_0_53_53 = e4) % 58.03/23.71 | % 58.03/23.71 | Simplifying 1452 yields: % 58.03/23.71 | (1453) ~ (all_0_53_53 = e4) % 58.03/23.71 | % 58.03/23.71 | Equations (1378) can reduce 1401 to: % 58.03/23.71 | (49) ~ (e4 = e0) % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (428), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1557) all_0_46_46 = e3 % 58.03/23.71 | % 58.03/23.71 | Combining equations (538,1557) yields a new equation: % 58.03/23.71 | (676) e3 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (676) can reduce 80 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (409) ~ (all_0_46_46 = e3) % 58.03/23.71 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1561), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (522) all_0_47_47 = e3 % 58.03/23.71 | % 58.03/23.71 | Equations (522) can reduce 338 to: % 58.03/23.71 | (212) ~ (e3 = e2) % 58.03/23.71 | % 58.03/23.71 | Equations (522) can reduce 678 to: % 58.03/23.71 | (80) ~ (e3 = e0) % 58.03/23.71 | % 58.03/23.71 | From (522) and (23) follows: % 58.03/23.71 | (531) op(e2, e2) = e3 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (385), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1105) all_0_47_47 = e2 % 58.03/23.71 | % 58.03/23.71 | Combining equations (522,1105) yields a new equation: % 58.03/23.71 | (661) e3 = e2 % 58.03/23.71 | % 58.03/23.71 | Simplifying 661 yields: % 58.03/23.71 | (662) e3 = e2 % 58.03/23.71 | % 58.03/23.71 | Equations (662) can reduce 212 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (338) ~ (all_0_47_47 = e2) % 58.03/23.71 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (610), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1298) all_0_53_53 = e4 % 58.03/23.71 | % 58.03/23.71 | Equations (1298) can reduce 1453 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1453) ~ (all_0_53_53 = e4) % 58.03/23.71 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1108), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (504) all_0_51_51 = e2 % 58.03/23.71 | % 58.03/23.71 | Equations (504) can reduce 6 to: % 58.03/23.71 | (508) ~ (all_0_53_53 = e2) % 58.03/23.71 | % 58.03/23.71 | Simplifying 508 yields: % 58.03/23.71 | (509) ~ (all_0_53_53 = e2) % 58.03/23.71 | % 58.03/23.71 | Equations (504) can reduce 16 to: % 58.03/23.71 | (510) ~ (all_0_56_56 = e2) % 58.03/23.71 | % 58.03/23.71 | Simplifying 510 yields: % 58.03/23.71 | (511) ~ (all_0_56_56 = e2) % 58.03/23.71 | % 58.03/23.71 | Equations (504) can reduce 115 to: % 58.03/23.71 | (128) ~ (e2 = e0) % 58.03/23.71 | % 58.03/23.71 | From (504) and (186) follows: % 58.03/23.71 | (515) op(e1, e2) = e2 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1694), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1208) all_0_53_53 = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (1208) can reduce 10 to: % 58.03/23.71 | (879) ~ (all_0_58_58 = e1) % 58.03/23.71 | % 58.03/23.71 | Simplifying 879 yields: % 58.03/23.71 | (880) ~ (all_0_58_58 = e1) % 58.03/23.71 | % 58.03/23.71 | Equations (1208) can reduce 1453 to: % 58.03/23.71 | (602) ~ (e4 = e1) % 58.03/23.71 | % 58.03/23.71 | Simplifying 602 yields: % 58.03/23.71 | (110) ~ (e4 = e1) % 58.03/23.71 | % 58.03/23.71 | Equations (1208) can reduce 509 to: % 58.03/23.71 | (604) ~ (e2 = e1) % 58.03/23.71 | % 58.03/23.71 | Simplifying 604 yields: % 58.03/23.71 | (122) ~ (e2 = e1) % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (125), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (858) all_0_55_55 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (587,858) yields a new equation: % 58.03/23.71 | (481) e4 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 481 yields: % 58.03/23.71 | (397) e4 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (397) can reduce 49 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (803) ~ (all_0_55_55 = e0) % 58.03/23.71 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (587) can reduce 803 to: % 58.03/23.71 | (49) ~ (e4 = e0) % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (75), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (485) all_0_40_40 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (485,1378) yields a new equation: % 58.03/23.71 | (397) e4 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (397) can reduce 49 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1401) ~ (all_0_40_40 = e0) % 58.03/23.71 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (133), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (833) all_0_56_56 = e2 % 58.03/23.71 | % 58.03/23.71 | Equations (833) can reduce 511 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (511) ~ (all_0_56_56 = e2) % 58.03/23.71 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (216), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (629) all_0_55_55 = e1 % 58.03/23.71 | % 58.03/23.71 | Combining equations (587,629) yields a new equation: % 58.03/23.71 | (636) e4 = e1 % 58.03/23.71 | % 58.03/23.71 | Simplifying 636 yields: % 58.03/23.71 | (630) e4 = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (630) can reduce 110 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (632) ~ (all_0_55_55 = e1) % 58.03/23.71 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (633), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1569) all_0_56_56 = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (1569) can reduce 44 to: % 58.03/23.71 | (879) ~ (all_0_58_58 = e1) % 58.03/23.71 | % 58.03/23.71 | Simplifying 879 yields: % 58.03/23.71 | (880) ~ (all_0_58_58 = e1) % 58.03/23.71 | % 58.03/23.71 | Equations (1569) can reduce 511 to: % 58.03/23.71 | (604) ~ (e2 = e1) % 58.03/23.71 | % 58.03/23.71 | Simplifying 604 yields: % 58.03/23.71 | (122) ~ (e2 = e1) % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1748), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1414) all_0_44_44 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (532,1414) yields a new equation: % 58.03/23.71 | (675) e3 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 675 yields: % 58.03/23.71 | (676) e3 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (676) can reduce 80 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (360) ~ (all_0_44_44 = e0) % 58.03/23.71 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1760), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (978) all_0_49_49 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (583,978) yields a new equation: % 58.03/23.71 | (391) e2 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 391 yields: % 58.03/23.71 | (330) e2 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (330) can reduce 128 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (487) ~ (all_0_49_49 = e0) % 58.03/23.71 | (914) all_0_58_58 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (914) can reduce 880 to: % 58.03/23.71 | (435) ~ (e1 = e0) % 58.03/23.71 | % 58.03/23.71 | Simplifying 435 yields: % 58.03/23.71 | (233) ~ (e1 = e0) % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (56), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (696) unit = e2 % 58.03/23.71 | % 58.03/23.71 | From (696) and (227) follows: % 58.03/23.71 | (4284) op(e4, e2) = e4 % 58.03/23.71 | % 58.03/23.71 | From (696) and (40) follows: % 58.03/23.71 | (4285) op(e3, e2) = e3 % 58.03/23.71 | % 58.03/23.71 | From (696) and (32) follows: % 58.03/23.71 | (698) op(e2, e2) = e2 % 58.03/23.71 | % 58.03/23.71 | From (696) and (28) follows: % 58.03/23.71 | (699) op(e1, e2) = e1 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 58.03/23.71 | (397) e4 = e0 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.03/23.71 | (425) e4 = e3 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 58.03/23.71 | (662) e3 = e2 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.03/23.71 | (617) e2 = e1 % 58.03/23.71 | % 58.03/23.71 | Combining equations (397,425) yields a new equation: % 58.03/23.71 | (676) e3 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (676,662) yields a new equation: % 58.03/23.71 | (330) e2 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (617,330) yields a new equation: % 58.03/23.71 | (546) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 546 yields: % 58.03/23.71 | (431) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (431) can reduce 233 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (707) ~ (unit = e2) % 58.03/23.71 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (708), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (709) unit = e4 % 58.03/23.71 | % 58.03/23.71 | From (709) and (227) follows: % 58.03/23.71 | (710) op(e4, e4) = e4 % 58.03/23.71 | % 58.03/23.71 | From (709) and (40) follows: % 58.03/23.71 | (711) op(e3, e4) = e3 % 58.03/23.71 | % 58.03/23.71 | From (709) and (32) follows: % 58.03/23.71 | (712) op(e2, e4) = e2 % 58.03/23.71 | % 58.03/23.71 | From (709) and (42) follows: % 58.03/23.71 | (713) op(e0, e4) = e0 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.03/23.71 | (630) e4 = e1 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.03/23.71 | (662) e3 = e2 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.03/23.71 | (323) e4 = e2 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.03/23.71 | (676) e3 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (630,323) yields a new equation: % 58.03/23.71 | (617) e2 = e1 % 58.03/23.71 | % 58.03/23.71 | Combining equations (662,676) yields a new equation: % 58.03/23.71 | (391) e2 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 391 yields: % 58.03/23.71 | (330) e2 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (617,330) yields a new equation: % 58.03/23.71 | (546) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 546 yields: % 58.03/23.71 | (431) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (431) can reduce 233 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (724) ~ (unit = e4) % 58.03/23.71 | (725) unit = e3 | unit = e1 | unit = e0 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (725), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (726) unit = e0 % 58.03/23.71 | % 58.03/23.71 | From (726) and (211) follows: % 58.03/23.71 | (15180) op(e0, e1) = e1 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.03/23.71 | (617) e2 = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (617) can reduce 122 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (734) ~ (unit = e0) % 58.03/23.71 | (735) unit = e3 | unit = e1 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (735), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (736) unit = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (736) can reduce 734 to: % 58.03/23.71 | (233) ~ (e1 = e0) % 58.03/23.71 | % 58.03/23.71 | From (736) and (32) follows: % 58.03/23.71 | (347) op(e2, e1) = e2 % 58.03/23.71 | % 58.03/23.71 | From (736) and (42) follows: % 58.03/23.71 | (3221) op(e0, e1) = e0 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.03/23.71 | (617) e2 = e1 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 58.03/23.71 | (330) e2 = e0 % 58.03/23.71 | % 58.03/23.71 | Combining equations (617,330) yields a new equation: % 58.03/23.71 | (546) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 546 yields: % 58.03/23.71 | (431) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (431) can reduce 233 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (748) ~ (unit = e1) % 58.03/23.71 | (749) unit = e3 % 58.03/23.71 | % 58.03/23.71 | From (749) and (209) follows: % 58.03/23.71 | (1667) op(e3, e0) = e0 % 58.03/23.71 | % 58.03/23.71 | From (749) and (28) follows: % 58.03/23.71 | (2235) op(e1, e3) = e1 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.03/23.71 | (676) e3 = e0 % 58.03/23.71 | % 58.03/23.71 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.03/23.71 | (455) e3 = e1 % 58.03/23.71 | % 58.03/23.71 | Combining equations (676,455) yields a new equation: % 58.03/23.71 | (431) e1 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (431) can reduce 233 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (466) ~ (all_0_56_56 = e1) % 58.03/23.71 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1574), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (647) all_0_57_57 = e1 % 58.03/23.71 | % 58.03/23.71 | Combining equations (647,442) yields a new equation: % 58.03/23.71 | (617) e2 = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (617) can reduce 122 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1670) ~ (all_0_57_57 = e1) % 58.03/23.71 | (918) all_0_58_58 = e1 % 58.03/23.71 | % 58.03/23.71 | Equations (918) can reduce 880 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1459) ~ (all_0_53_53 = e1) % 58.03/23.71 | (665) all_0_53_53 = e3 % 58.03/23.71 | % 58.03/23.71 | Equations (665) can reduce 903 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1099) ~ (all_0_51_51 = e2) % 58.03/23.71 | (833) all_0_56_56 = e2 % 58.03/23.71 | % 58.03/23.71 | Equations (833) can reduce 511 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1091) ~ (all_0_47_47 = e3) % 58.03/23.71 | (884) all_0_49_49 = e3 % 58.03/23.71 | % 58.03/23.71 | Combining equations (583,884) yields a new equation: % 58.03/23.71 | (662) e3 = e2 % 58.03/23.71 | % 58.03/23.71 | Equations (662) can reduce 212 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (447) ~ (all_0_40_40 = e4) % 58.03/23.71 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (316), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (1378) all_0_40_40 = e4 % 58.03/23.71 | % 58.03/23.71 | Equations (1378) can reduce 447 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (447) ~ (all_0_40_40 = e4) % 58.03/23.71 | (485) all_0_40_40 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (485) can reduce 1401 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (1890) ~ (all_0_42_42 = e4) % 58.03/23.71 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (1891), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (396) all_0_43_43 = e4 % 58.03/23.71 | % 58.03/23.71 | Combining equations (396,356) yields a new equation: % 58.03/23.71 | (481) e4 = e0 % 58.03/23.71 | % 58.03/23.71 | Simplifying 481 yields: % 58.03/23.71 | (397) e4 = e0 % 58.03/23.71 | % 58.03/23.71 | Equations (397) can reduce 49 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (399) ~ (all_0_43_43 = e4) % 58.03/23.71 | (446) all_0_44_44 = e4 % 58.03/23.71 | % 58.03/23.71 | Combining equations (446,532) yields a new equation: % 58.03/23.71 | (424) e4 = e3 % 58.03/23.71 | % 58.03/23.71 | Simplifying 424 yields: % 58.03/23.71 | (425) e4 = e3 % 58.03/23.71 | % 58.03/23.71 | Equations (425) can reduce 188 to: % 58.03/23.71 | (266) $false % 58.03/23.71 | % 58.03/23.71 |-The branch is then unsatisfiable % 58.03/23.71 |-Branch two: % 58.03/23.71 | (407) ~ (all_0_44_44 = e3) % 58.03/23.71 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.03/23.71 | % 58.03/23.71 +-Applying beta-rule and splitting (78), into two cases. % 58.03/23.71 |-Branch one: % 58.03/23.71 | (423) all_0_45_45 = e3 % 58.03/23.71 | % 58.03/23.71 | Combining equations (248,423) yields a new equation: % 58.03/23.71 | (424) e4 = e3 % 58.03/23.71 | % 58.03/23.71 | Simplifying 424 yields: % 58.03/23.71 | (425) e4 = e3 % 58.03/23.71 | % 58.03/23.71 | Equations (425) can reduce 188 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (427) ~ (all_0_45_45 = e3) % 58.03/23.72 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (428), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (1557) all_0_46_46 = e3 % 58.03/23.72 | % 58.03/23.72 | Combining equations (1557,538) yields a new equation: % 58.03/23.72 | (675) e3 = e0 % 58.03/23.72 | % 58.03/23.72 | Simplifying 675 yields: % 58.03/23.72 | (676) e3 = e0 % 58.03/23.72 | % 58.03/23.72 | Equations (676) can reduce 80 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (409) ~ (all_0_46_46 = e3) % 58.03/23.72 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (1561), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (522) all_0_47_47 = e3 % 58.03/23.72 | % 58.03/23.72 | Equations (522) can reduce 338 to: % 58.03/23.72 | (212) ~ (e3 = e2) % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (537), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (884) all_0_49_49 = e3 % 58.03/23.72 | % 58.03/23.72 | Combining equations (583,884) yields a new equation: % 58.03/23.72 | (662) e3 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (662) can reduce 212 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (525) ~ (all_0_49_49 = e3) % 58.03/23.72 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (887), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (665) all_0_53_53 = e3 % 58.03/23.72 | % 58.03/23.72 | Equations (665) can reduce 903 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (903) ~ (all_0_53_53 = e3) % 58.03/23.72 | (795) all_0_58_58 = e3 % 58.03/23.72 | % 58.03/23.72 | Equations (795) can reduce 276 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (1091) ~ (all_0_47_47 = e3) % 58.03/23.72 | (884) all_0_49_49 = e3 % 58.03/23.72 | % 58.03/23.72 | Combining equations (583,884) yields a new equation: % 58.03/23.72 | (662) e3 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (662) can reduce 212 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (340) ~ (all_0_49_49 = e2) % 58.03/23.72 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (614), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (607) all_0_53_53 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (607) can reduce 509 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (509) ~ (all_0_53_53 = e2) % 58.03/23.72 | (624) all_0_58_58 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (624) can reduce 908 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (831) ~ (all_0_46_46 = e0) % 58.03/23.72 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (1838), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (545) all_0_46_46 = e1 % 58.03/23.72 | % 58.03/23.72 | Equations (545) can reduce 549 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (549) ~ (all_0_46_46 = e1) % 58.03/23.72 | (1557) all_0_46_46 = e3 % 58.03/23.72 | % 58.03/23.72 | Equations (1557) can reduce 409 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (457) ~ (all_0_41_41 = e1) % 58.03/23.72 | (403) all_0_41_41 = e3 % 58.03/23.72 | % 58.03/23.72 | Equations (403) can reduce 1898 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (5470) ~ (all_0_43_43 = e0) % 58.03/23.72 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (195), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (396) all_0_43_43 = e4 % 58.03/23.72 | % 58.03/23.72 | Equations (396) can reduce 399 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (399) ~ (all_0_43_43 = e4) % 58.03/23.72 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (5471), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (1279) all_0_48_48 = e0 % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 17 to: % 58.03/23.72 | (5470) ~ (all_0_43_43 = e0) % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 30 to: % 58.03/23.72 | (831) ~ (all_0_46_46 = e0) % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 114 to: % 58.03/23.72 | (678) ~ (all_0_47_47 = e0) % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 185 to: % 58.03/23.72 | (486) ~ (all_0_49_49 = e0) % 58.03/23.72 | % 58.03/23.72 | Simplifying 486 yields: % 58.03/23.72 | (487) ~ (all_0_49_49 = e0) % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 254 to: % 58.03/23.72 | (401) ~ (e4 = e0) % 58.03/23.72 | % 58.03/23.72 | Simplifying 401 yields: % 58.03/23.72 | (49) ~ (e4 = e0) % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 215 to: % 58.03/23.72 | (541) ~ (e3 = e0) % 58.03/23.72 | % 58.03/23.72 | Simplifying 541 yields: % 58.03/23.72 | (80) ~ (e3 = e0) % 58.03/23.72 | % 58.03/23.72 | Equations (1279) can reduce 810 to: % 58.03/23.72 | (365) ~ (e2 = e0) % 58.03/23.72 | % 58.03/23.72 | Simplifying 365 yields: % 58.03/23.72 | (128) ~ (e2 = e0) % 58.03/23.72 | % 58.03/23.72 | From (1279) and (169) follows: % 58.03/23.72 | (14936) op(e0, e2) = all_0_18_18 % 58.03/23.72 | % 58.03/23.72 | From (1279) and (21) follows: % 58.03/23.72 | (14937) op(e0, e1) = all_0_19_19 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (6374), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (356) all_0_43_43 = e0 % 58.03/23.72 | % 58.03/23.72 | Equations (356) can reduce 5470 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (5470) ~ (all_0_43_43 = e0) % 58.03/23.72 | (430) all_0_43_43 = e1 % 58.03/23.72 | % 58.03/23.72 | Equations (430) can reduce 240 to: % 58.03/23.72 | (1380) ~ (all_0_42_42 = e1) % 58.03/23.72 | % 58.03/23.72 | Equations (430) can reduce 159 to: % 58.03/23.72 | (4057) ~ (all_0_44_44 = e1) % 58.03/23.72 | % 58.03/23.72 | Simplifying 4057 yields: % 58.03/23.72 | (639) ~ (all_0_44_44 = e1) % 58.03/23.72 | % 58.03/23.72 | From (430) and (88) follows: % 58.03/23.72 | (6385) op(e1, e3) = all_0_9_9 % 58.03/23.72 | % 58.03/23.72 | From (430) and (98) follows: % 58.03/23.72 | (6386) op(e1, e1) = all_0_10_10 % 58.03/23.72 | % 58.03/23.72 | From (430) and (37) follows: % 58.03/23.72 | (13877) op(e3, e1) = e1 % 58.03/23.72 | % 58.03/23.72 | Instantiating formula (29) with e1, e3, all_0_9_9, all_0_50_50 and discharging atoms op(e1, e3) = all_0_9_9, op(e1, e3) = all_0_50_50, yields: % 58.03/23.72 | (6393) all_0_9_9 = all_0_50_50 % 58.03/23.72 | % 58.03/23.72 | Instantiating formula (29) with e1, e1, all_0_10_10, e4 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = e4, yields: % 58.03/23.72 | (6394) all_0_10_10 = e4 % 58.03/23.72 | % 58.03/23.72 | Instantiating formula (29) with e0, e2, all_0_18_18, all_0_56_56 and discharging atoms op(e0, e2) = all_0_18_18, op(e0, e2) = all_0_56_56, yields: % 58.03/23.72 | (19950) all_0_18_18 = all_0_56_56 % 58.03/23.72 | % 58.03/23.72 | Instantiating formula (29) with e0, e1, all_0_19_19, e2 and discharging atoms op(e0, e1) = all_0_19_19, op(e0, e1) = e2, yields: % 58.03/23.72 | (349) all_0_19_19 = e2 % 58.03/23.72 | % 58.03/23.72 | From (6393) and (6385) follows: % 58.03/23.72 | (242) op(e1, e3) = all_0_50_50 % 58.03/23.72 | % 58.03/23.72 | From (6394) and (6386) follows: % 58.03/23.72 | (570) op(e1, e1) = e4 % 58.03/23.72 | % 58.03/23.72 | From (19950) and (14936) follows: % 58.03/23.72 | (111) op(e0, e2) = all_0_56_56 % 58.03/23.72 | % 58.03/23.72 | From (349) and (14937) follows: % 58.03/23.72 | (16562) op(e0, e1) = e2 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (47), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (317) all_0_39_39 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (317) can reduce 294 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (294) ~ (all_0_39_39 = e2) % 58.03/23.72 | (385) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_56_56 = e2 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (95), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (378) all_0_50_50 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (378) can reduce 302 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (302) ~ (all_0_50_50 = e2) % 58.03/23.72 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (158), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (313) all_0_40_40 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (313) can reduce 296 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (296) ~ (all_0_40_40 = e2) % 58.03/23.72 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (243), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (329) all_0_38_38 = e0 % 58.03/23.72 | % 58.03/23.72 | Combining equations (292,329) yields a new equation: % 58.03/23.72 | (391) e2 = e0 % 58.03/23.72 | % 58.03/23.72 | Simplifying 391 yields: % 58.03/23.72 | (330) e2 = e0 % 58.03/23.72 | % 58.03/23.72 | Equations (330) can reduce 128 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (332) ~ (all_0_38_38 = e0) % 58.03/23.72 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (113), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (403) all_0_41_41 = e3 % 58.03/23.72 | % 58.03/23.72 | Equations (403) can reduce 221 to: % 58.03/23.72 | (410) ~ (all_0_50_50 = e3) % 58.03/23.72 | % 58.03/23.72 | Simplifying 410 yields: % 58.03/23.72 | (411) ~ (all_0_50_50 = e3) % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (241), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (378) all_0_50_50 = e2 % 58.03/23.72 | % 58.03/23.72 | Equations (378) can reduce 302 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (302) ~ (all_0_50_50 = e2) % 58.03/23.72 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 58.03/23.72 | % 58.03/23.72 +-Applying beta-rule and splitting (422), into two cases. % 58.03/23.72 |-Branch one: % 58.03/23.72 | (775) all_0_50_50 = e4 % 58.03/23.72 | % 58.03/23.72 | Equations (775) can reduce 566 to: % 58.03/23.72 | (266) $false % 58.03/23.72 | % 58.03/23.72 |-The branch is then unsatisfiable % 58.03/23.72 |-Branch two: % 58.03/23.72 | (566) ~ (all_0_50_50 = e4) % 58.03/23.73 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (1444), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (601) all_0_50_50 = e1 % 58.03/23.73 | % 58.03/23.73 | Equations (601) can reduce 566 to: % 58.03/23.73 | (602) ~ (e4 = e1) % 58.03/23.73 | % 58.03/23.73 | Simplifying 602 yields: % 58.03/23.73 | (110) ~ (e4 = e1) % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (123), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (1794) all_0_46_46 = e2 % 58.03/23.73 | % 58.03/23.73 | Equations (1794) can reduce 300 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (300) ~ (all_0_46_46 = e2) % 58.03/23.73 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (395), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (794) all_0_41_41 = e0 % 58.03/23.73 | % 58.03/23.73 | Combining equations (403,794) yields a new equation: % 58.03/23.73 | (675) e3 = e0 % 58.03/23.73 | % 58.03/23.73 | Simplifying 675 yields: % 58.03/23.73 | (676) e3 = e0 % 58.03/23.73 | % 58.03/23.73 | Equations (676) can reduce 80 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (357) ~ (all_0_41_41 = e0) % 58.03/23.73 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (62), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (321) all_0_38_38 = e4 % 58.03/23.73 | % 58.03/23.73 | Combining equations (292,321) yields a new equation: % 58.03/23.73 | (323) e4 = e2 % 58.03/23.73 | % 58.03/23.73 | Equations (323) can reduce 48 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (325) ~ (all_0_38_38 = e4) % 58.03/23.73 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (895), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (538) all_0_46_46 = e0 % 58.03/23.73 | % 58.03/23.73 | Equations (538) can reduce 831 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (831) ~ (all_0_46_46 = e0) % 58.03/23.73 | (858) all_0_55_55 = e0 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (582), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (437) all_0_41_41 = e4 % 58.03/23.73 | % 58.03/23.73 | Combining equations (403,437) yields a new equation: % 58.03/23.73 | (425) e4 = e3 % 58.03/23.73 | % 58.03/23.73 | Equations (425) can reduce 188 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (440) ~ (all_0_41_41 = e4) % 58.03/23.73 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (1797), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (770) all_0_46_46 = e4 % 58.03/23.73 | % 58.03/23.73 | Equations (770) can reduce 250 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (250) ~ (all_0_46_46 = e4) % 58.03/23.73 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (769), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (770) all_0_46_46 = e4 % 58.03/23.73 | % 58.03/23.73 | Equations (770) can reduce 250 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (250) ~ (all_0_46_46 = e4) % 58.03/23.73 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (774), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (775) all_0_50_50 = e4 % 58.03/23.73 | % 58.03/23.73 | Combining equations (775,601) yields a new equation: % 58.03/23.73 | (636) e4 = e1 % 58.03/23.73 | % 58.03/23.73 | Simplifying 636 yields: % 58.03/23.73 | (630) e4 = e1 % 58.03/23.73 | % 58.03/23.73 | Equations (630) can reduce 110 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (566) ~ (all_0_50_50 = e4) % 58.03/23.73 | (587) all_0_55_55 = e4 % 58.03/23.73 | % 58.03/23.73 | Combining equations (587,858) yields a new equation: % 58.03/23.73 | (481) e4 = e0 % 58.03/23.73 | % 58.03/23.73 | Simplifying 481 yields: % 58.03/23.73 | (397) e4 = e0 % 58.03/23.73 | % 58.03/23.73 | Equations (397) can reduce 49 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (759) ~ (all_0_50_50 = e1) % 58.03/23.73 | (415) all_0_50_50 = e3 % 58.03/23.73 | % 58.03/23.73 | Equations (415) can reduce 411 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (1898) ~ (all_0_41_41 = e3) % 58.03/23.73 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (144), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (403) all_0_41_41 = e3 % 58.03/23.73 | % 58.03/23.73 | Equations (403) can reduce 1898 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (1898) ~ (all_0_41_41 = e3) % 58.03/23.73 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (168), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (415) all_0_50_50 = e3 % 58.03/23.73 | % 58.03/23.73 | Equations (415) can reduce 35 to: % 58.03/23.73 | (409) ~ (all_0_46_46 = e3) % 58.03/23.73 | % 58.03/23.73 | Equations (415) can reduce 59 to: % 58.03/23.73 | (1925) ~ (all_0_51_51 = e3) % 58.03/23.73 | % 58.03/23.73 | Simplifying 1925 yields: % 58.03/23.73 | (664) ~ (all_0_51_51 = e3) % 58.03/23.73 | % 58.03/23.73 | Equations (415) can reduce 190 to: % 58.03/23.73 | (1114) ~ (all_0_53_53 = e3) % 58.03/23.73 | % 58.03/23.73 | Simplifying 1114 yields: % 58.03/23.73 | (903) ~ (all_0_53_53 = e3) % 58.03/23.73 | % 58.03/23.73 | Equations (415) can reduce 93 to: % 58.03/23.73 | (269) ~ (all_0_55_55 = e3) % 58.03/23.73 | % 58.03/23.73 | Simplifying 269 yields: % 58.03/23.73 | (270) ~ (all_0_55_55 = e3) % 58.03/23.73 | % 58.03/23.73 | Equations (415) can reduce 566 to: % 58.03/23.73 | (277) ~ (e4 = e3) % 58.03/23.73 | % 58.03/23.73 | Simplifying 277 yields: % 58.03/23.73 | (188) ~ (e4 = e3) % 58.03/23.73 | % 58.03/23.73 | From (415) and (8) follows: % 58.03/23.73 | (5694) op(e3, e3) = all_0_23_23 % 58.03/23.73 | % 58.03/23.73 | From (415) and (57) follows: % 58.03/23.73 | (1933) op(e3, e1) = all_0_22_22 % 58.03/23.73 | % 58.03/23.73 | From (415) and (242) follows: % 58.03/23.73 | (1934) op(e1, e3) = e3 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (123), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (1794) all_0_46_46 = e2 % 58.03/23.73 | % 58.03/23.73 | Equations (1794) can reduce 300 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (300) ~ (all_0_46_46 = e2) % 58.03/23.73 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (1797), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (770) all_0_46_46 = e4 % 58.03/23.73 | % 58.03/23.73 | Equations (770) can reduce 250 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (250) ~ (all_0_46_46 = e4) % 58.03/23.73 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (1801), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (538) all_0_46_46 = e0 % 58.03/23.73 | % 58.03/23.73 | Equations (538) can reduce 831 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (831) ~ (all_0_46_46 = e0) % 58.03/23.73 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (1838), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (545) all_0_46_46 = e1 % 58.03/23.73 | % 58.03/23.73 | Equations (545) can reduce 43 to: % 58.03/23.73 | (457) ~ (all_0_41_41 = e1) % 58.03/23.73 | % 58.03/23.73 | Equations (545) can reduce 19 to: % 58.03/23.73 | (461) ~ (all_0_47_47 = e1) % 58.03/23.73 | % 58.03/23.73 | Simplifying 461 yields: % 58.03/23.73 | (462) ~ (all_0_47_47 = e1) % 58.03/23.73 | % 58.03/23.73 | Equations (545) can reduce 208 to: % 58.03/23.73 | (1419) ~ (all_0_49_49 = e1) % 58.03/23.73 | % 58.03/23.73 | Simplifying 1419 yields: % 58.03/23.73 | (1064) ~ (all_0_49_49 = e1) % 58.03/23.73 | % 58.03/23.73 | Equations (545) can reduce 409 to: % 58.03/23.73 | (467) ~ (e3 = e1) % 58.03/23.73 | % 58.03/23.73 | Simplifying 467 yields: % 58.03/23.73 | (213) ~ (e3 = e1) % 58.03/23.73 | % 58.03/23.73 | Equations (545) can reduce 300 to: % 58.03/23.73 | (604) ~ (e2 = e1) % 58.03/23.73 | % 58.03/23.73 | Simplifying 604 yields: % 58.03/23.73 | (122) ~ (e2 = e1) % 58.03/23.73 | % 58.03/23.73 | From (545) and (33) follows: % 58.03/23.73 | (2104) op(e1, e3) = all_0_16_16 % 58.03/23.73 | % 58.03/23.73 | From (545) and (179) follows: % 58.03/23.73 | (5636) op(e1, e2) = all_0_15_15 % 58.03/23.73 | % 58.03/23.73 | From (545) and (120) follows: % 58.03/23.73 | (2105) op(e2, e3) = e1 % 58.03/23.73 | % 58.03/23.73 | Instantiating formula (29) with e3, e3, all_0_23_23, all_0_41_41 and discharging atoms op(e3, e3) = all_0_23_23, op(e3, e3) = all_0_41_41, yields: % 58.03/23.73 | (6435) all_0_23_23 = all_0_41_41 % 58.03/23.73 | % 58.03/23.73 | Instantiating formula (29) with e3, e1, all_0_22_22, e1 and discharging atoms op(e3, e1) = all_0_22_22, op(e3, e1) = e1, yields: % 58.03/23.73 | (20077) all_0_22_22 = e1 % 58.03/23.73 | % 58.03/23.73 | Instantiating formula (29) with e1, e3, e3, all_0_16_16 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = e3, yields: % 58.03/23.73 | (2167) all_0_16_16 = e3 % 58.03/23.73 | % 58.03/23.73 | Instantiating formula (29) with e1, e2, all_0_15_15, all_0_51_51 and discharging atoms op(e1, e2) = all_0_15_15, op(e1, e2) = all_0_51_51, yields: % 58.03/23.73 | (20079) all_0_15_15 = all_0_51_51 % 58.03/23.73 | % 58.03/23.73 | From (6435) and (5694) follows: % 58.03/23.73 | (219) op(e3, e3) = all_0_41_41 % 58.03/23.73 | % 58.03/23.73 | From (20077) and (1933) follows: % 58.03/23.73 | (13877) op(e3, e1) = e1 % 58.03/23.73 | % 58.03/23.73 | From (2167) and (2104) follows: % 58.03/23.73 | (1934) op(e1, e3) = e3 % 58.03/23.73 | % 58.03/23.73 | From (20079) and (5636) follows: % 58.03/23.73 | (186) op(e1, e2) = all_0_51_51 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (196), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (607) all_0_53_53 = e2 % 58.03/23.73 | % 58.03/23.73 | Equations (607) can reduce 162 to: % 58.03/23.73 | (296) ~ (all_0_40_40 = e2) % 58.03/23.73 | % 58.03/23.73 | Equations (607) can reduce 65 to: % 58.03/23.73 | (340) ~ (all_0_49_49 = e2) % 58.03/23.73 | % 58.03/23.73 | Equations (607) can reduce 6 to: % 58.03/23.73 | (1099) ~ (all_0_51_51 = e2) % 58.03/23.73 | % 58.03/23.73 | Equations (607) can reduce 10 to: % 58.03/23.73 | (1186) ~ (all_0_58_58 = e2) % 58.03/23.73 | % 58.03/23.73 | Simplifying 1186 yields: % 58.03/23.73 | (908) ~ (all_0_58_58 = e2) % 58.03/23.73 | % 58.03/23.73 | Equations (607) can reduce 903 to: % 58.03/23.73 | (626) ~ (e3 = e2) % 58.03/23.73 | % 58.03/23.73 | Simplifying 626 yields: % 58.03/23.73 | (212) ~ (e3 = e2) % 58.03/23.73 | % 58.03/23.73 | Equations (607) can reduce 247 to: % 58.03/23.73 | (128) ~ (e2 = e0) % 58.03/23.73 | % 58.03/23.73 | From (607) and (175) follows: % 58.03/23.73 | (1556) op(e2, e0) = all_0_28_28 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (7), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (504) all_0_51_51 = e2 % 58.03/23.73 | % 58.03/23.73 | Equations (504) can reduce 1099 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (1099) ~ (all_0_51_51 = e2) % 58.03/23.73 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (160), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (601) all_0_50_50 = e1 % 58.03/23.73 | % 58.03/23.73 | Combining equations (415,601) yields a new equation: % 58.03/23.73 | (454) e3 = e1 % 58.03/23.73 | % 58.03/23.73 | Simplifying 454 yields: % 58.03/23.73 | (455) e3 = e1 % 58.03/23.73 | % 58.03/23.73 | Equations (455) can reduce 213 to: % 58.03/23.73 | (266) $false % 58.03/23.73 | % 58.03/23.73 |-The branch is then unsatisfiable % 58.03/23.73 |-Branch two: % 58.03/23.73 | (759) ~ (all_0_50_50 = e1) % 58.03/23.73 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.03/23.73 | % 58.03/23.73 +-Applying beta-rule and splitting (1168), into two cases. % 58.03/23.73 |-Branch one: % 58.03/23.73 | (1109) all_0_51_51 = e1 % 58.03/23.73 | % 58.03/23.73 | Equations (1109) can reduce 139 to: % 58.03/23.73 | (151) ~ (all_0_39_39 = e1) % 58.03/23.73 | % 58.03/23.73 | Equations (1109) can reduce 61 to: % 58.03/23.73 | (1380) ~ (all_0_42_42 = e1) % 58.03/23.73 | % 58.10/23.73 | Equations (1109) can reduce 224 to: % 58.10/23.73 | (462) ~ (all_0_47_47 = e1) % 58.10/23.73 | % 58.10/23.73 | Equations (1109) can reduce 475 to: % 58.10/23.73 | (602) ~ (e4 = e1) % 58.10/23.73 | % 58.10/23.73 | Simplifying 602 yields: % 58.10/23.73 | (110) ~ (e4 = e1) % 58.10/23.73 | % 58.10/23.73 | Equations (1109) can reduce 664 to: % 58.10/23.73 | (467) ~ (e3 = e1) % 58.10/23.73 | % 58.10/23.73 | Simplifying 467 yields: % 58.10/23.73 | (213) ~ (e3 = e1) % 58.10/23.73 | % 58.10/23.73 | Equations (1109) can reduce 115 to: % 58.10/23.73 | (233) ~ (e1 = e0) % 58.10/23.73 | % 58.10/23.73 | From (1109) and (177) follows: % 58.10/23.73 | (4211) op(e1, e2) = all_0_25_25 % 58.10/23.73 | % 58.10/23.73 | From (1109) and (186) follows: % 58.10/23.73 | (699) op(e1, e2) = e1 % 58.10/23.73 | % 58.10/23.73 +-Applying beta-rule and splitting (54), into two cases. % 58.10/23.73 |-Branch one: % 58.10/23.73 | (583) all_0_49_49 = e2 % 58.10/23.73 | % 58.10/23.73 | Equations (583) can reduce 340 to: % 58.10/23.73 | (266) $false % 58.10/23.73 | % 58.10/23.73 |-The branch is then unsatisfiable % 58.10/23.73 |-Branch two: % 58.10/23.73 | (340) ~ (all_0_49_49 = e2) % 58.10/23.73 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.10/23.73 | % 58.10/23.73 +-Applying beta-rule and splitting (112), into two cases. % 58.10/23.73 |-Branch one: % 58.10/23.73 | (635) all_0_44_44 = e1 % 58.10/23.73 | % 58.10/23.73 | Equations (635) can reduce 639 to: % 58.10/23.73 | (266) $false % 58.10/23.73 | % 58.10/23.73 |-The branch is then unsatisfiable % 58.10/23.73 |-Branch two: % 58.10/23.73 | (639) ~ (all_0_44_44 = e1) % 58.10/23.73 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.10/23.73 | % 58.10/23.73 +-Applying beta-rule and splitting (385), into two cases. % 58.10/23.73 |-Branch one: % 58.10/23.73 | (1105) all_0_47_47 = e2 % 58.10/23.73 | % 58.10/23.73 | Equations (1105) can reduce 79 to: % 58.10/23.73 | (294) ~ (all_0_39_39 = e2) % 58.10/23.73 | % 58.10/23.73 | Equations (1105) can reduce 198 to: % 58.10/23.73 | (51) ~ (all_0_42_42 = e2) % 58.10/23.73 | % 58.10/23.73 | Equations (1105) can reduce 252 to: % 58.10/23.73 | (327) ~ (e4 = e2) % 58.10/23.73 | % 58.10/23.73 | Simplifying 327 yields: % 58.10/23.73 | (48) ~ (e4 = e2) % 58.10/23.73 | % 58.10/23.73 | Equations (1105) can reduce 462 to: % 58.10/23.73 | (122) ~ (e2 = e1) % 58.10/23.73 | % 58.10/23.73 +-Applying beta-rule and splitting (180), into two cases. % 58.10/23.73 |-Branch one: % 58.10/23.73 | (516) all_0_42_42 = e3 % 58.10/23.73 | % 58.10/23.73 | Equations (516) can reduce 214 to: % 58.10/23.73 | (1898) ~ (all_0_41_41 = e3) % 58.10/23.73 | % 58.10/23.73 | Equations (516) can reduce 73 to: % 58.10/23.73 | (406) ~ (all_0_44_44 = e3) % 58.10/23.74 | % 58.10/23.74 | Simplifying 406 yields: % 58.10/23.74 | (407) ~ (all_0_44_44 = e3) % 58.10/23.74 | % 58.10/23.74 | Equations (516) can reduce 236 to: % 58.10/23.74 | (271) ~ (all_0_56_56 = e3) % 58.10/23.74 | % 58.10/23.74 | Simplifying 271 yields: % 58.10/23.74 | (272) ~ (all_0_56_56 = e3) % 58.10/23.74 | % 58.10/23.74 | Equations (516) can reduce 51 to: % 58.10/23.74 | (212) ~ (e3 = e2) % 58.10/23.74 | % 58.10/23.74 | Equations (516) can reduce 1380 to: % 58.10/23.74 | (213) ~ (e3 = e1) % 58.10/23.74 | % 58.10/23.74 | From (516) and (226) follows: % 58.10/23.74 | (5629) op(e3, e3) = all_0_7_7 % 58.10/23.74 | % 58.10/23.74 | From (516) and (225) follows: % 58.10/23.74 | (4633) op(e3, e2) = all_0_8_8 % 58.10/23.74 | % 58.10/23.74 | From (516) and (210) follows: % 58.10/23.74 | (4285) op(e3, e2) = e3 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (189), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (532) all_0_44_44 = e3 % 58.10/23.74 | % 58.10/23.74 | Equations (532) can reduce 407 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (407) ~ (all_0_44_44 = e3) % 58.10/23.74 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (78), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (423) all_0_45_45 = e3 % 58.10/23.74 | % 58.10/23.74 | Combining equations (248,423) yields a new equation: % 58.10/23.74 | (424) e4 = e3 % 58.10/23.74 | % 58.10/23.74 | Simplifying 424 yields: % 58.10/23.74 | (425) e4 = e3 % 58.10/23.74 | % 58.10/23.74 | Equations (425) can reduce 188 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (427) ~ (all_0_45_45 = e3) % 58.10/23.74 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (537), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (884) all_0_49_49 = e3 % 58.10/23.74 | % 58.10/23.74 | Equations (884) can reduce 200 to: % 58.10/23.74 | (2) ~ (all_0_40_40 = e3) % 58.10/23.74 | % 58.10/23.74 | Equations (884) can reduce 9 to: % 58.10/23.74 | (407) ~ (all_0_44_44 = e3) % 58.10/23.74 | % 58.10/23.74 | Equations (884) can reduce 256 to: % 58.10/23.74 | (277) ~ (e4 = e3) % 58.10/23.74 | % 58.10/23.74 | Simplifying 277 yields: % 58.10/23.74 | (188) ~ (e4 = e3) % 58.10/23.74 | % 58.10/23.74 | Equations (884) can reduce 1064 to: % 58.10/23.74 | (213) ~ (e3 = e1) % 58.10/23.74 | % 58.10/23.74 | Equations (884) can reduce 487 to: % 58.10/23.74 | (80) ~ (e3 = e0) % 58.10/23.74 | % 58.10/23.74 | From (884) and (129) follows: % 58.10/23.74 | (4740) op(e3, e2) = all_0_20_20 % 58.10/23.74 | % 58.10/23.74 | From (884) and (55) follows: % 58.10/23.74 | (1581) op(e2, e0) = e3 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (640), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (671) all_0_49_49 = e1 % 58.10/23.74 | % 58.10/23.74 | Combining equations (884,671) yields a new equation: % 58.10/23.74 | (454) e3 = e1 % 58.10/23.74 | % 58.10/23.74 | Simplifying 454 yields: % 58.10/23.74 | (455) e3 = e1 % 58.10/23.74 | % 58.10/23.74 | Equations (455) can reduce 213 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (1064) ~ (all_0_49_49 = e1) % 58.10/23.74 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (2141), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (1208) all_0_53_53 = e1 % 58.10/23.74 | % 58.10/23.74 | Combining equations (607,1208) yields a new equation: % 58.10/23.74 | (616) e2 = e1 % 58.10/23.74 | % 58.10/23.74 | Simplifying 616 yields: % 58.10/23.74 | (617) e2 = e1 % 58.10/23.74 | % 58.10/23.74 | Equations (617) can reduce 122 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (1459) ~ (all_0_53_53 = e1) % 58.10/23.74 | (918) all_0_58_58 = e1 % 58.10/23.74 | % 58.10/23.74 | Equations (918) can reduce 178 to: % 58.10/23.74 | (132) ~ (all_0_40_40 = e1) % 58.10/23.74 | % 58.10/23.74 | Equations (918) can reduce 181 to: % 58.10/23.74 | (639) ~ (all_0_44_44 = e1) % 58.10/23.74 | % 58.10/23.74 | Equations (918) can reduce 3 to: % 58.10/23.74 | (632) ~ (all_0_55_55 = e1) % 58.10/23.74 | % 58.10/23.74 | Equations (918) can reduce 44 to: % 58.10/23.74 | (466) ~ (all_0_56_56 = e1) % 58.10/23.74 | % 58.10/23.74 | Equations (918) can reduce 908 to: % 58.10/23.74 | (604) ~ (e2 = e1) % 58.10/23.74 | % 58.10/23.74 | Simplifying 604 yields: % 58.10/23.74 | (122) ~ (e2 = e1) % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e3, e3, all_0_7_7, all_0_41_41 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_41_41, yields: % 58.10/23.74 | (20177) all_0_7_7 = all_0_41_41 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e3, e2, all_0_20_20, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_20_20, yields: % 58.10/23.74 | (5711) all_0_8_8 = all_0_20_20 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e3, e2, e3, all_0_8_8 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = e3, yields: % 58.10/23.74 | (4675) all_0_8_8 = e3 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e2, e0, e3, all_0_28_28 and discharging atoms op(e2, e0) = all_0_28_28, op(e2, e0) = e3, yields: % 58.10/23.74 | (1592) all_0_28_28 = e3 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e1, e2, e1, all_0_25_25 and discharging atoms op(e1, e2) = all_0_25_25, op(e1, e2) = e1, yields: % 58.10/23.74 | (4271) all_0_25_25 = e1 % 58.10/23.74 | % 58.10/23.74 | Combining equations (5711,4675) yields a new equation: % 58.10/23.74 | (5722) all_0_20_20 = e3 % 58.10/23.74 | % 58.10/23.74 | Simplifying 5722 yields: % 58.10/23.74 | (4837) all_0_20_20 = e3 % 58.10/23.74 | % 58.10/23.74 | From (20177) and (5629) follows: % 58.10/23.74 | (219) op(e3, e3) = all_0_41_41 % 58.10/23.74 | % 58.10/23.74 | From (4837) and (4740) follows: % 58.10/23.74 | (4285) op(e3, e2) = e3 % 58.10/23.74 | % 58.10/23.74 | From (1592) and (1556) follows: % 58.10/23.74 | (1581) op(e2, e0) = e3 % 58.10/23.74 | % 58.10/23.74 | From (4271) and (4211) follows: % 58.10/23.74 | (699) op(e1, e2) = e1 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (165), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (794) all_0_41_41 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (794) can reduce 149 to: % 58.10/23.74 | (359) ~ (all_0_44_44 = e0) % 58.10/23.74 | % 58.10/23.74 | Simplifying 359 yields: % 58.10/23.74 | (360) ~ (all_0_44_44 = e0) % 58.10/23.74 | % 58.10/23.74 | Equations (794) can reduce 191 to: % 58.10/23.74 | (4444) ~ (all_0_55_55 = e0) % 58.10/23.74 | % 58.10/23.74 | Simplifying 4444 yields: % 58.10/23.74 | (803) ~ (all_0_55_55 = e0) % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (26), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (446) all_0_44_44 = e4 % 58.10/23.74 | % 58.10/23.74 | Equations (446) can reduce 143 to: % 58.10/23.74 | (447) ~ (all_0_40_40 = e4) % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (316), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (1378) all_0_40_40 = e4 % 58.10/23.74 | % 58.10/23.74 | Equations (1378) can reduce 447 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (447) ~ (all_0_40_40 = e4) % 58.10/23.74 | (485) all_0_40_40 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (485) can reduce 176 to: % 58.10/23.74 | (484) ~ (all_0_39_39 = e0) % 58.10/23.74 | % 58.10/23.74 | Equations (485) can reduce 2 to: % 58.10/23.74 | (541) ~ (e3 = e0) % 58.10/23.74 | % 58.10/23.74 | Simplifying 541 yields: % 58.10/23.74 | (80) ~ (e3 = e0) % 58.10/23.74 | % 58.10/23.74 | Equations (485) can reduce 296 to: % 58.10/23.74 | (365) ~ (e2 = e0) % 58.10/23.74 | % 58.10/23.74 | Simplifying 365 yields: % 58.10/23.74 | (128) ~ (e2 = e0) % 58.10/23.74 | % 58.10/23.74 | From (485) and (234) follows: % 58.10/23.74 | (3072) op(e4, e0) = e0 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (125), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (858) all_0_55_55 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (858) can reduce 803 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (803) ~ (all_0_55_55 = e0) % 58.10/23.74 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (104), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (480) all_0_39_39 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (480) can reduce 484 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (484) ~ (all_0_39_39 = e0) % 58.10/23.74 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (174), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (386) all_0_55_55 = e2 % 58.10/23.74 | % 58.10/23.74 | Equations (386) can reduce 304 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (304) ~ (all_0_55_55 = e2) % 58.10/23.74 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (863), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (679) all_0_56_56 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (679) can reduce 153 to: % 58.10/23.74 | (803) ~ (all_0_55_55 = e0) % 58.10/23.74 | % 58.10/23.74 | Equations (679) can reduce 466 to: % 58.10/23.74 | (435) ~ (e1 = e0) % 58.10/23.74 | % 58.10/23.74 | Simplifying 435 yields: % 58.10/23.74 | (233) ~ (e1 = e0) % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (2051), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (587) all_0_55_55 = e4 % 58.10/23.74 | % 58.10/23.74 | From (587) and (74) follows: % 58.10/23.74 | (589) op(e0, e3) = e4 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (56), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (696) unit = e2 % 58.10/23.74 | % 58.10/23.74 | From (696) and (24) follows: % 58.10/23.74 | (697) op(e2, e3) = e3 % 58.10/23.74 | % 58.10/23.74 | From (696) and (209) follows: % 58.10/23.74 | (7585) op(e2, e0) = e0 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 58.10/23.74 | (455) e3 = e1 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.10/23.74 | (676) e3 = e0 % 58.10/23.74 | % 58.10/23.74 | Combining equations (455,676) yields a new equation: % 58.10/23.74 | (546) e1 = e0 % 58.10/23.74 | % 58.10/23.74 | Simplifying 546 yields: % 58.10/23.74 | (431) e1 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (431) can reduce 233 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (707) ~ (unit = e2) % 58.10/23.74 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (708), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (709) unit = e4 % 58.10/23.74 | % 58.10/23.74 | From (709) and (227) follows: % 58.10/23.74 | (710) op(e4, e4) = e4 % 58.10/23.74 | % 58.10/23.74 | From (709) and (40) follows: % 58.10/23.74 | (711) op(e3, e4) = e3 % 58.10/23.74 | % 58.10/23.74 | From (709) and (32) follows: % 58.10/23.74 | (712) op(e2, e4) = e2 % 58.10/23.74 | % 58.10/23.74 | From (709) and (42) follows: % 58.10/23.74 | (713) op(e0, e4) = e0 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.10/23.74 | (630) e4 = e1 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.10/23.74 | (662) e3 = e2 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.10/23.74 | (323) e4 = e2 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.10/23.74 | (676) e3 = e0 % 58.10/23.74 | % 58.10/23.74 | Combining equations (323,630) yields a new equation: % 58.10/23.74 | (616) e2 = e1 % 58.10/23.74 | % 58.10/23.74 | Simplifying 616 yields: % 58.10/23.74 | (617) e2 = e1 % 58.10/23.74 | % 58.10/23.74 | Combining equations (662,676) yields a new equation: % 58.10/23.74 | (391) e2 = e0 % 58.10/23.74 | % 58.10/23.74 | Simplifying 391 yields: % 58.10/23.74 | (330) e2 = e0 % 58.10/23.74 | % 58.10/23.74 | Combining equations (330,617) yields a new equation: % 58.10/23.74 | (431) e1 = e0 % 58.10/23.74 | % 58.10/23.74 | Equations (431) can reduce 233 to: % 58.10/23.74 | (266) $false % 58.10/23.74 | % 58.10/23.74 |-The branch is then unsatisfiable % 58.10/23.74 |-Branch two: % 58.10/23.74 | (724) ~ (unit = e4) % 58.10/23.74 | (725) unit = e3 | unit = e1 | unit = e0 % 58.10/23.74 | % 58.10/23.74 +-Applying beta-rule and splitting (725), into two cases. % 58.10/23.74 |-Branch one: % 58.10/23.74 | (726) unit = e0 % 58.10/23.74 | % 58.10/23.74 | From (726) and (24) follows: % 58.10/23.74 | (2208) op(e0, e3) = e3 % 58.10/23.74 | % 58.10/23.74 | From (726) and (211) follows: % 58.10/23.74 | (15180) op(e0, e1) = e1 % 58.10/23.74 | % 58.10/23.74 | From (726) and (227) follows: % 58.10/23.74 | (3205) op(e4, e0) = e4 % 58.10/23.74 | % 58.10/23.74 | From (726) and (32) follows: % 58.10/23.74 | (727) op(e2, e0) = e2 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 58.10/23.74 | (397) e4 = e0 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 58.10/23.74 | (662) e3 = e2 % 58.10/23.74 | % 58.10/23.74 | Instantiating formula (29) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 58.10/23.74 | (425) e4 = e3 % 58.10/23.74 | % 58.10/23.75 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.10/23.75 | (617) e2 = e1 % 58.10/23.75 | % 58.10/23.75 | Combining equations (397,425) yields a new equation: % 58.10/23.75 | (676) e3 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (676,662) yields a new equation: % 58.10/23.75 | (330) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (617,330) yields a new equation: % 58.10/23.75 | (546) e1 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 546 yields: % 58.10/23.75 | (431) e1 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (431) can reduce 233 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (734) ~ (unit = e0) % 58.10/23.75 | (735) unit = e3 | unit = e1 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (735), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (736) unit = e1 % 58.10/23.75 | % 58.10/23.75 | Equations (736) can reduce 734 to: % 58.10/23.75 | (233) ~ (e1 = e0) % 58.10/23.75 | % 58.10/23.75 | From (736) and (15) follows: % 58.10/23.75 | (515) op(e1, e2) = e2 % 58.10/23.75 | % 58.10/23.75 | From (736) and (42) follows: % 58.10/23.75 | (3221) op(e0, e1) = e0 % 58.10/23.75 | % 58.10/23.75 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.10/23.75 | (617) e2 = e1 % 58.10/23.75 | % 58.10/23.75 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 58.10/23.75 | (330) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (330,617) yields a new equation: % 58.10/23.75 | (431) e1 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (431) can reduce 233 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (748) ~ (unit = e1) % 58.10/23.75 | (749) unit = e3 % 58.10/23.75 | % 58.10/23.75 | From (749) and (244) follows: % 58.10/23.75 | (750) op(e3, e4) = e4 % 58.10/23.75 | % 58.10/23.75 | From (749) and (15) follows: % 58.10/23.75 | (751) op(e3, e2) = e2 % 58.10/23.75 | % 58.10/23.75 | From (749) and (28) follows: % 58.10/23.75 | (2235) op(e1, e3) = e1 % 58.10/23.75 | % 58.10/23.75 | From (749) and (42) follows: % 58.10/23.75 | (752) op(e0, e3) = e0 % 58.10/23.75 | % 58.10/23.75 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.10/23.75 | (323) e4 = e2 % 58.10/23.75 | % 58.10/23.75 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 58.10/23.75 | (662) e3 = e2 % 58.10/23.75 | % 58.10/23.75 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.10/23.75 | (455) e3 = e1 % 58.10/23.75 | % 58.10/23.75 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.10/23.75 | (397) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (397,323) yields a new equation: % 58.10/23.75 | (330) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (662,455) yields a new equation: % 58.10/23.75 | (616) e2 = e1 % 58.10/23.75 | % 58.10/23.75 | Simplifying 616 yields: % 58.10/23.75 | (617) e2 = e1 % 58.10/23.75 | % 58.10/23.75 | Combining equations (330,617) yields a new equation: % 58.10/23.75 | (431) e1 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (431) can reduce 233 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (763) ~ (all_0_55_55 = e4) % 58.10/23.75 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (2055), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (858) all_0_55_55 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (858) can reduce 803 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (803) ~ (all_0_55_55 = e0) % 58.10/23.75 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (2315), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (629) all_0_55_55 = e1 % 58.10/23.75 | % 58.10/23.75 | Equations (629) can reduce 632 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (632) ~ (all_0_55_55 = e1) % 58.10/23.75 | (2336) all_0_55_55 = e3 % 58.10/23.75 | % 58.10/23.75 | Equations (2336) can reduce 270 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (828) ~ (all_0_56_56 = e0) % 58.10/23.75 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (558), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (559) all_0_42_42 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (516,559) yields a new equation: % 58.10/23.75 | (675) e3 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 675 yields: % 58.10/23.75 | (676) e3 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (676) can reduce 80 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (358) ~ (all_0_42_42 = e0) % 58.10/23.75 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (563), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (674) all_0_47_47 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (1105,674) yields a new equation: % 58.10/23.75 | (391) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 391 yields: % 58.10/23.75 | (330) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (330) can reduce 128 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (678) ~ (all_0_47_47 = e0) % 58.10/23.75 | (679) all_0_56_56 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (679) can reduce 828 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (1390) ~ (all_0_44_44 = e4) % 58.10/23.75 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (174), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (386) all_0_55_55 = e2 % 58.10/23.75 | % 58.10/23.75 | Equations (386) can reduce 304 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (304) ~ (all_0_55_55 = e2) % 58.10/23.75 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (64), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (437) all_0_41_41 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (437,794) yields a new equation: % 58.10/23.75 | (481) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 481 yields: % 58.10/23.75 | (397) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (397) can reduce 49 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (440) ~ (all_0_41_41 = e4) % 58.10/23.75 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.10/23.75 | % 58.10/23.75 | Equations (794) can reduce 440 to: % 58.10/23.75 | (401) ~ (e4 = e0) % 58.10/23.75 | % 58.10/23.75 | Simplifying 401 yields: % 58.10/23.75 | (49) ~ (e4 = e0) % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (125), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (858) all_0_55_55 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (858) can reduce 803 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (803) ~ (all_0_55_55 = e0) % 58.10/23.75 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (75), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (485) all_0_40_40 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (62), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (321) all_0_38_38 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (321,292) yields a new equation: % 58.10/23.75 | (322) e4 = e2 % 58.10/23.75 | % 58.10/23.75 | Simplifying 322 yields: % 58.10/23.75 | (323) e4 = e2 % 58.10/23.75 | % 58.10/23.75 | Equations (323) can reduce 48 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (325) ~ (all_0_38_38 = e4) % 58.10/23.75 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (582), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (437) all_0_41_41 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (437,794) yields a new equation: % 58.10/23.75 | (481) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 481 yields: % 58.10/23.75 | (397) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (397) can reduce 49 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (440) ~ (all_0_41_41 = e4) % 58.10/23.75 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (769), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (770) all_0_46_46 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (770,545) yields a new equation: % 58.10/23.75 | (636) e4 = e1 % 58.10/23.75 | % 58.10/23.75 | Simplifying 636 yields: % 58.10/23.75 | (630) e4 = e1 % 58.10/23.75 | % 58.10/23.75 | Equations (630) can reduce 110 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (250) ~ (all_0_46_46 = e4) % 58.10/23.75 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (774), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (775) all_0_50_50 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (775,415) yields a new equation: % 58.10/23.75 | (424) e4 = e3 % 58.10/23.75 | % 58.10/23.75 | Simplifying 424 yields: % 58.10/23.75 | (425) e4 = e3 % 58.10/23.75 | % 58.10/23.75 | Equations (425) can reduce 188 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (566) ~ (all_0_50_50 = e4) % 58.10/23.75 | (587) all_0_55_55 = e4 % 58.10/23.75 | % 58.10/23.75 | Equations (587) can reduce 270 to: % 58.10/23.75 | (188) ~ (e4 = e3) % 58.10/23.75 | % 58.10/23.75 | Equations (587) can reduce 304 to: % 58.10/23.75 | (48) ~ (e4 = e2) % 58.10/23.75 | % 58.10/23.75 | Equations (587) can reduce 632 to: % 58.10/23.75 | (110) ~ (e4 = e1) % 58.10/23.75 | % 58.10/23.75 | Equations (587) can reduce 803 to: % 58.10/23.75 | (49) ~ (e4 = e0) % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (150), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (1378) all_0_40_40 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (1378,485) yields a new equation: % 58.10/23.75 | (481) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 481 yields: % 58.10/23.75 | (397) e4 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (397) can reduce 49 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (447) ~ (all_0_40_40 = e4) % 58.10/23.75 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (2271), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (446) all_0_44_44 = e4 % 58.10/23.75 | % 58.10/23.75 | Equations (446) can reduce 1390 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (1390) ~ (all_0_44_44 = e4) % 58.10/23.75 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (7998), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (974) all_0_49_49 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (884,974) yields a new equation: % 58.10/23.75 | (425) e4 = e3 % 58.10/23.75 | % 58.10/23.75 | Equations (425) can reduce 188 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (256) ~ (all_0_49_49 = e4) % 58.10/23.75 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (8013), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (1298) all_0_53_53 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (1298,607) yields a new equation: % 58.10/23.75 | (322) e4 = e2 % 58.10/23.75 | % 58.10/23.75 | Simplifying 322 yields: % 58.10/23.75 | (323) e4 = e2 % 58.10/23.75 | % 58.10/23.75 | Equations (323) can reduce 48 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (1453) ~ (all_0_53_53 = e4) % 58.10/23.75 | (910) all_0_58_58 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (910,918) yields a new equation: % 58.10/23.75 | (636) e4 = e1 % 58.10/23.75 | % 58.10/23.75 | Simplifying 636 yields: % 58.10/23.75 | (630) e4 = e1 % 58.10/23.75 | % 58.10/23.75 | Equations (630) can reduce 110 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (1401) ~ (all_0_40_40 = e0) % 58.10/23.75 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (863), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (679) all_0_56_56 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (679) can reduce 272 to: % 58.10/23.75 | (541) ~ (e3 = e0) % 58.10/23.75 | % 58.10/23.75 | Simplifying 541 yields: % 58.10/23.75 | (80) ~ (e3 = e0) % 58.10/23.75 | % 58.10/23.75 | Equations (679) can reduce 466 to: % 58.10/23.75 | (435) ~ (e1 = e0) % 58.10/23.75 | % 58.10/23.75 | Simplifying 435 yields: % 58.10/23.75 | (233) ~ (e1 = e0) % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (1748), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (1414) all_0_44_44 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (1414) can reduce 360 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (360) ~ (all_0_44_44 = e0) % 58.10/23.75 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (1760), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (978) all_0_49_49 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (884,978) yields a new equation: % 58.10/23.75 | (675) e3 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 675 yields: % 58.10/23.75 | (676) e3 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (676) can reduce 80 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (487) ~ (all_0_49_49 = e0) % 58.10/23.75 | (914) all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (914,918) yields a new equation: % 58.10/23.75 | (431) e1 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (431) can reduce 233 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (828) ~ (all_0_56_56 = e0) % 58.10/23.75 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (104), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (480) all_0_39_39 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (480) can reduce 294 to: % 58.10/23.75 | (365) ~ (e2 = e0) % 58.10/23.75 | % 58.10/23.75 | Simplifying 365 yields: % 58.10/23.75 | (128) ~ (e2 = e0) % 58.10/23.75 | % 58.10/23.75 | Equations (480) can reduce 151 to: % 58.10/23.75 | (435) ~ (e1 = e0) % 58.10/23.75 | % 58.10/23.75 | Simplifying 435 yields: % 58.10/23.75 | (233) ~ (e1 = e0) % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (924), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (875) all_0_57_57 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (442,875) yields a new equation: % 58.10/23.75 | (391) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Simplifying 391 yields: % 58.10/23.75 | (330) e2 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (330) can reduce 128 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (364) ~ (all_0_57_57 = e0) % 58.10/23.75 | (914) all_0_58_58 = e0 % 58.10/23.75 | % 58.10/23.75 | Combining equations (914,918) yields a new equation: % 58.10/23.75 | (431) e1 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (431) can reduce 233 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (484) ~ (all_0_39_39 = e0) % 58.10/23.75 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (333), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (480) all_0_39_39 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (480) can reduce 484 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (484) ~ (all_0_39_39 = e0) % 58.10/23.75 | (485) all_0_40_40 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (485) can reduce 1401 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (357) ~ (all_0_41_41 = e0) % 58.10/23.75 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (395), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (794) all_0_41_41 = e0 % 58.10/23.75 | % 58.10/23.75 | Equations (794) can reduce 357 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (357) ~ (all_0_41_41 = e0) % 58.10/23.75 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (27), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (437) all_0_41_41 = e4 % 58.10/23.75 | % 58.10/23.75 | Equations (437) can reduce 149 to: % 58.10/23.75 | (1903) ~ (all_0_44_44 = e4) % 58.10/23.75 | % 58.10/23.75 | Simplifying 1903 yields: % 58.10/23.75 | (1390) ~ (all_0_44_44 = e4) % 58.10/23.75 | % 58.10/23.75 | Equations (437) can reduce 1898 to: % 58.10/23.75 | (188) ~ (e4 = e3) % 58.10/23.75 | % 58.10/23.75 | From (437) and (219) follows: % 58.10/23.75 | (1913) op(e3, e3) = e4 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (26), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (446) all_0_44_44 = e4 % 58.10/23.75 | % 58.10/23.75 | Equations (446) can reduce 1390 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (1390) ~ (all_0_44_44 = e4) % 58.10/23.75 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.10/23.75 | % 58.10/23.75 +-Applying beta-rule and splitting (171), into two cases. % 58.10/23.75 |-Branch one: % 58.10/23.75 | (265) all_0_54_54 = e4 % 58.10/23.75 | % 58.10/23.75 | Combining equations (268,265) yields a new equation: % 58.10/23.75 | (425) e4 = e3 % 58.10/23.75 | % 58.10/23.75 | Equations (425) can reduce 188 to: % 58.10/23.75 | (266) $false % 58.10/23.75 | % 58.10/23.75 |-The branch is then unsatisfiable % 58.10/23.75 |-Branch two: % 58.10/23.75 | (258) ~ (all_0_54_54 = e4) % 58.10/23.75 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.14/23.75 | % 58.14/23.75 +-Applying beta-rule and splitting (1391), into two cases. % 58.14/23.75 |-Branch one: % 58.14/23.75 | (1414) all_0_44_44 = e0 % 58.14/23.75 | % 58.14/23.75 | Equations (1414) can reduce 143 to: % 58.14/23.75 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.75 | % 58.14/23.75 | Equations (1414) can reduce 639 to: % 58.14/23.75 | (435) ~ (e1 = e0) % 58.14/23.75 | % 58.14/23.75 | Simplifying 435 yields: % 58.14/23.75 | (233) ~ (e1 = e0) % 58.14/23.75 | % 58.14/23.75 +-Applying beta-rule and splitting (316), into two cases. % 58.14/23.75 |-Branch one: % 58.14/23.75 | (1378) all_0_40_40 = e4 % 58.14/23.75 | % 58.14/23.75 | Equations (1378) can reduce 176 to: % 58.14/23.75 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.75 | % 58.14/23.75 | Equations (1378) can reduce 2 to: % 58.14/23.75 | (188) ~ (e4 = e3) % 58.14/23.75 | % 58.14/23.75 | Equations (1378) can reduce 296 to: % 58.14/23.75 | (48) ~ (e4 = e2) % 58.14/23.75 | % 58.14/23.75 | Equations (1378) can reduce 132 to: % 58.14/23.75 | (110) ~ (e4 = e1) % 58.14/23.75 | % 58.14/23.75 +-Applying beta-rule and splitting (164), into two cases. % 58.14/23.75 |-Branch one: % 58.14/23.75 | (471) all_0_39_39 = e4 % 58.14/23.75 | % 58.14/23.75 | Equations (471) can reduce 1377 to: % 58.14/23.75 | (266) $false % 58.14/23.75 | % 58.14/23.75 |-The branch is then unsatisfiable % 58.14/23.75 |-Branch two: % 58.14/23.75 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.75 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.75 | % 58.14/23.75 +-Applying beta-rule and splitting (895), into two cases. % 58.14/23.75 |-Branch one: % 58.14/23.75 | (538) all_0_46_46 = e0 % 58.14/23.75 | % 58.14/23.75 | Combining equations (545,538) yields a new equation: % 58.14/23.75 | (546) e1 = e0 % 58.14/23.75 | % 58.14/23.75 | Simplifying 546 yields: % 58.14/23.75 | (431) e1 = e0 % 58.14/23.75 | % 58.14/23.75 | Equations (431) can reduce 233 to: % 58.14/23.75 | (266) $false % 58.14/23.75 | % 58.14/23.75 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (831) ~ (all_0_46_46 = e0) % 58.14/23.76 | (858) all_0_55_55 = e0 % 58.14/23.76 | % 58.14/23.76 | From (858) and (74) follows: % 58.14/23.76 | (752) op(e0, e3) = e0 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (104), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (480) all_0_39_39 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (480) can reduce 1377 to: % 58.14/23.76 | (401) ~ (e4 = e0) % 58.14/23.76 | % 58.14/23.76 | Simplifying 401 yields: % 58.14/23.76 | (49) ~ (e4 = e0) % 58.14/23.76 | % 58.14/23.76 | Equations (480) can reduce 151 to: % 58.14/23.76 | (435) ~ (e1 = e0) % 58.14/23.76 | % 58.14/23.76 | Simplifying 435 yields: % 58.14/23.76 | (233) ~ (e1 = e0) % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (575), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (587) all_0_55_55 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (587,858) yields a new equation: % 58.14/23.76 | (481) e4 = e0 % 58.14/23.76 | % 58.14/23.76 | Simplifying 481 yields: % 58.14/23.76 | (397) e4 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (397) can reduce 49 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (763) ~ (all_0_55_55 = e4) % 58.14/23.76 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (764), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (842) all_0_56_56 = e4 % 58.14/23.76 | % 58.14/23.76 | From (842) and (111) follows: % 58.14/23.76 | (2154) op(e0, e2) = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (56), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (696) unit = e2 % 58.14/23.76 | % 58.14/23.76 | From (696) and (24) follows: % 58.14/23.76 | (697) op(e2, e3) = e3 % 58.14/23.76 | % 58.14/23.76 | From (696) and (209) follows: % 58.14/23.76 | (7585) op(e2, e0) = e0 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 58.14/23.76 | (455) e3 = e1 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.14/23.76 | (676) e3 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (455,676) yields a new equation: % 58.14/23.76 | (546) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Simplifying 546 yields: % 58.14/23.76 | (431) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (431) can reduce 233 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (707) ~ (unit = e2) % 58.14/23.76 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (708), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (709) unit = e4 % 58.14/23.76 | % 58.14/23.76 | From (709) and (227) follows: % 58.14/23.76 | (710) op(e4, e4) = e4 % 58.14/23.76 | % 58.14/23.76 | From (709) and (40) follows: % 58.14/23.76 | (711) op(e3, e4) = e3 % 58.14/23.76 | % 58.14/23.76 | From (709) and (32) follows: % 58.14/23.76 | (712) op(e2, e4) = e2 % 58.14/23.76 | % 58.14/23.76 | From (709) and (42) follows: % 58.14/23.76 | (713) op(e0, e4) = e0 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.14/23.76 | (630) e4 = e1 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.14/23.76 | (662) e3 = e2 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.14/23.76 | (323) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.14/23.76 | (676) e3 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (630,323) yields a new equation: % 58.14/23.76 | (617) e2 = e1 % 58.14/23.76 | % 58.14/23.76 | Combining equations (662,676) yields a new equation: % 58.14/23.76 | (391) e2 = e0 % 58.14/23.76 | % 58.14/23.76 | Simplifying 391 yields: % 58.14/23.76 | (330) e2 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (617,330) yields a new equation: % 58.14/23.76 | (546) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Simplifying 546 yields: % 58.14/23.76 | (431) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (431) can reduce 233 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (724) ~ (unit = e4) % 58.14/23.76 | (725) unit = e3 | unit = e1 | unit = e0 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (725), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (726) unit = e0 % 58.14/23.76 | % 58.14/23.76 | From (726) and (244) follows: % 58.14/23.76 | (2207) op(e0, e4) = e4 % 58.14/23.76 | % 58.14/23.76 | From (726) and (24) follows: % 58.14/23.76 | (2208) op(e0, e3) = e3 % 58.14/23.76 | % 58.14/23.76 | From (726) and (15) follows: % 58.14/23.76 | (1508) op(e0, e2) = e2 % 58.14/23.76 | % 58.14/23.76 | From (726) and (211) follows: % 58.14/23.76 | (15180) op(e0, e1) = e1 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.14/23.76 | (425) e4 = e3 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 58.14/23.76 | (676) e3 = e0 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.14/23.76 | (323) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.14/23.76 | (617) e2 = e1 % 58.14/23.76 | % 58.14/23.76 | Combining equations (323,425) yields a new equation: % 58.14/23.76 | (662) e3 = e2 % 58.14/23.76 | % 58.14/23.76 | Combining equations (662,676) yields a new equation: % 58.14/23.76 | (391) e2 = e0 % 58.14/23.76 | % 58.14/23.76 | Simplifying 391 yields: % 58.14/23.76 | (330) e2 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (330,617) yields a new equation: % 58.14/23.76 | (431) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (431) can reduce 233 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (734) ~ (unit = e0) % 58.14/23.76 | (735) unit = e3 | unit = e1 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (735), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (736) unit = e1 % 58.14/23.76 | % 58.14/23.76 | Equations (736) can reduce 734 to: % 58.14/23.76 | (233) ~ (e1 = e0) % 58.14/23.76 | % 58.14/23.76 | From (736) and (15) follows: % 58.14/23.76 | (515) op(e1, e2) = e2 % 58.14/23.76 | % 58.14/23.76 | From (736) and (42) follows: % 58.14/23.76 | (3221) op(e0, e1) = e0 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.14/23.76 | (617) e2 = e1 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 58.14/23.76 | (330) e2 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (330,617) yields a new equation: % 58.14/23.76 | (431) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (431) can reduce 233 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (748) ~ (unit = e1) % 58.14/23.76 | (749) unit = e3 % 58.14/23.76 | % 58.14/23.76 | From (749) and (244) follows: % 58.14/23.76 | (750) op(e3, e4) = e4 % 58.14/23.76 | % 58.14/23.76 | From (749) and (40) follows: % 58.14/23.76 | (3715) op(e3, e3) = e3 % 58.14/23.76 | % 58.14/23.76 | From (749) and (28) follows: % 58.14/23.76 | (2235) op(e1, e3) = e1 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.14/23.76 | (323) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.14/23.76 | (425) e4 = e3 % 58.14/23.76 | % 58.14/23.76 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.14/23.76 | (455) e3 = e1 % 58.14/23.76 | % 58.14/23.76 | Combining equations (323,425) yields a new equation: % 58.14/23.76 | (662) e3 = e2 % 58.14/23.76 | % 58.14/23.76 | Combining equations (662,455) yields a new equation: % 58.14/23.76 | (616) e2 = e1 % 58.14/23.76 | % 58.14/23.76 | Simplifying 616 yields: % 58.14/23.76 | (617) e2 = e1 % 58.14/23.76 | % 58.14/23.76 | Equations (617) can reduce 122 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (477) ~ (all_0_56_56 = e4) % 58.14/23.76 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (935), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (871) all_0_57_57 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (442,871) yields a new equation: % 58.14/23.76 | (323) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Equations (323) can reduce 48 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (839) ~ (all_0_57_57 = e4) % 58.14/23.76 | (910) all_0_58_58 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (910,918) yields a new equation: % 58.14/23.76 | (636) e4 = e1 % 58.14/23.76 | % 58.14/23.76 | Simplifying 636 yields: % 58.14/23.76 | (630) e4 = e1 % 58.14/23.76 | % 58.14/23.76 | Equations (630) can reduce 110 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (484) ~ (all_0_39_39 = e0) % 58.14/23.76 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (2115), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (1392) all_0_42_42 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (1392,516) yields a new equation: % 58.14/23.76 | (424) e4 = e3 % 58.14/23.76 | % 58.14/23.76 | Simplifying 424 yields: % 58.14/23.76 | (425) e4 = e3 % 58.14/23.76 | % 58.14/23.76 | Equations (425) can reduce 188 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.76 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (2246), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (1790) all_0_47_47 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (1105,1790) yields a new equation: % 58.14/23.76 | (323) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Equations (323) can reduce 48 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (252) ~ (all_0_47_47 = e4) % 58.14/23.76 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (6548), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (1101) all_0_51_51 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (1101,1109) yields a new equation: % 58.14/23.76 | (636) e4 = e1 % 58.14/23.76 | % 58.14/23.76 | Simplifying 636 yields: % 58.14/23.76 | (630) e4 = e1 % 58.14/23.76 | % 58.14/23.76 | Equations (630) can reduce 110 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (475) ~ (all_0_51_51 = e4) % 58.14/23.76 | (842) all_0_56_56 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (842) can reduce 154 to: % 58.14/23.76 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (320), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (471) all_0_39_39 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (471) can reduce 1377 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.76 | (480) all_0_39_39 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (480) can reduce 484 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (447) ~ (all_0_40_40 = e4) % 58.14/23.76 | (485) all_0_40_40 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (485) can reduce 1401 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (360) ~ (all_0_44_44 = e0) % 58.14/23.76 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (1417), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (635) all_0_44_44 = e1 % 58.14/23.76 | % 58.14/23.76 | Equations (635) can reduce 639 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (639) ~ (all_0_44_44 = e1) % 58.14/23.76 | (532) all_0_44_44 = e3 % 58.14/23.76 | % 58.14/23.76 | Equations (532) can reduce 407 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (440) ~ (all_0_41_41 = e4) % 58.14/23.76 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (64), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (437) all_0_41_41 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (437) can reduce 440 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (440) ~ (all_0_41_41 = e4) % 58.14/23.76 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (62), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (321) all_0_38_38 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (321,292) yields a new equation: % 58.14/23.76 | (322) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Simplifying 322 yields: % 58.14/23.76 | (323) e4 = e2 % 58.14/23.76 | % 58.14/23.76 | Equations (323) can reduce 48 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (325) ~ (all_0_38_38 = e4) % 58.14/23.76 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (6761), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (559) all_0_42_42 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (559,516) yields a new equation: % 58.14/23.76 | (676) e3 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (676) can reduce 80 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (358) ~ (all_0_42_42 = e0) % 58.14/23.76 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (6766), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (356) all_0_43_43 = e0 % 58.14/23.76 | % 58.14/23.76 | Combining equations (356,430) yields a new equation: % 58.14/23.76 | (431) e1 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (431) can reduce 233 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (5470) ~ (all_0_43_43 = e0) % 58.14/23.76 | (1414) all_0_44_44 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (1414) can reduce 143 to: % 58.14/23.76 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (333), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (480) all_0_39_39 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (480) can reduce 176 to: % 58.14/23.76 | (1400) ~ (all_0_40_40 = e0) % 58.14/23.76 | % 58.14/23.76 | Simplifying 1400 yields: % 58.14/23.76 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (164), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (471) all_0_39_39 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (471,480) yields a new equation: % 58.14/23.76 | (481) e4 = e0 % 58.14/23.76 | % 58.14/23.76 | Simplifying 481 yields: % 58.14/23.76 | (397) e4 = e0 % 58.14/23.76 | % 58.14/23.76 | Equations (397) can reduce 49 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.76 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (480) can reduce 1377 to: % 58.14/23.76 | (401) ~ (e4 = e0) % 58.14/23.76 | % 58.14/23.76 | Simplifying 401 yields: % 58.14/23.76 | (49) ~ (e4 = e0) % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (150), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (1378) all_0_40_40 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (1378) can reduce 2 to: % 58.14/23.76 | (188) ~ (e4 = e3) % 58.14/23.76 | % 58.14/23.76 | Equations (1378) can reduce 132 to: % 58.14/23.76 | (110) ~ (e4 = e1) % 58.14/23.76 | % 58.14/23.76 | Equations (1378) can reduce 1401 to: % 58.14/23.76 | (49) ~ (e4 = e0) % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (582), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (437) all_0_41_41 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (437) can reduce 440 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (440) ~ (all_0_41_41 = e4) % 58.14/23.76 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (441), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (1392) all_0_42_42 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (1392,516) yields a new equation: % 58.14/23.76 | (424) e4 = e3 % 58.14/23.76 | % 58.14/23.76 | Simplifying 424 yields: % 58.14/23.76 | (425) e4 = e3 % 58.14/23.76 | % 58.14/23.76 | Equations (425) can reduce 188 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.76 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.14/23.76 | % 58.14/23.76 +-Applying beta-rule and splitting (769), into two cases. % 58.14/23.76 |-Branch one: % 58.14/23.76 | (770) all_0_46_46 = e4 % 58.14/23.76 | % 58.14/23.76 | Combining equations (545,770) yields a new equation: % 58.14/23.76 | (630) e4 = e1 % 58.14/23.76 | % 58.14/23.76 | Equations (630) can reduce 110 to: % 58.14/23.76 | (266) $false % 58.14/23.76 | % 58.14/23.76 |-The branch is then unsatisfiable % 58.14/23.76 |-Branch two: % 58.14/23.76 | (250) ~ (all_0_46_46 = e4) % 58.14/23.76 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.14/23.76 | % 58.14/23.76 | Equations (545) can reduce 250 to: % 58.14/23.77 | (602) ~ (e4 = e1) % 58.14/23.77 | % 58.14/23.77 | Simplifying 602 yields: % 58.14/23.77 | (110) ~ (e4 = e1) % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1891), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (396) all_0_43_43 = e4 % 58.14/23.77 | % 58.14/23.77 | Combining equations (430,396) yields a new equation: % 58.14/23.77 | (630) e4 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (630) can reduce 110 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (399) ~ (all_0_43_43 = e4) % 58.14/23.77 | (446) all_0_44_44 = e4 % 58.14/23.77 | % 58.14/23.77 | Combining equations (1414,446) yields a new equation: % 58.14/23.77 | (397) e4 = e0 % 58.14/23.77 | % 58.14/23.77 | Equations (397) can reduce 49 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (447) ~ (all_0_40_40 = e4) % 58.14/23.77 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (326), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (471) all_0_39_39 = e4 % 58.14/23.77 | % 58.14/23.77 | Combining equations (471,480) yields a new equation: % 58.14/23.77 | (481) e4 = e0 % 58.14/23.77 | % 58.14/23.77 | Simplifying 481 yields: % 58.14/23.77 | (397) e4 = e0 % 58.14/23.77 | % 58.14/23.77 | Equations (397) can reduce 49 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.77 | (1378) all_0_40_40 = e4 % 58.14/23.77 | % 58.14/23.77 | Equations (1378) can reduce 447 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (484) ~ (all_0_39_39 = e0) % 58.14/23.77 | (485) all_0_40_40 = e0 % 58.14/23.77 | % 58.14/23.77 | Equations (485) can reduce 1401 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (525) ~ (all_0_49_49 = e3) % 58.14/23.77 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (428), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1557) all_0_46_46 = e3 % 58.14/23.77 | % 58.14/23.77 | Combining equations (545,1557) yields a new equation: % 58.14/23.77 | (455) e3 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (455) can reduce 213 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (409) ~ (all_0_46_46 = e3) % 58.14/23.77 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1561), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (522) all_0_47_47 = e3 % 58.14/23.77 | % 58.14/23.77 | Combining equations (1105,522) yields a new equation: % 58.14/23.77 | (662) e3 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (662) can reduce 212 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (1091) ~ (all_0_47_47 = e3) % 58.14/23.77 | (884) all_0_49_49 = e3 % 58.14/23.77 | % 58.14/23.77 | Equations (884) can reduce 525 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (405) ~ (all_0_42_42 = e3) % 58.14/23.77 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (521), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (522) all_0_47_47 = e3 % 58.14/23.77 | % 58.14/23.77 | Combining equations (1105,522) yields a new equation: % 58.14/23.77 | (662) e3 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (662) can reduce 212 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (1091) ~ (all_0_47_47 = e3) % 58.14/23.77 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1092), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (660) all_0_51_51 = e3 % 58.14/23.77 | % 58.14/23.77 | Combining equations (660,1109) yields a new equation: % 58.14/23.77 | (454) e3 = e1 % 58.14/23.77 | % 58.14/23.77 | Simplifying 454 yields: % 58.14/23.77 | (455) e3 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (455) can reduce 213 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (664) ~ (all_0_51_51 = e3) % 58.14/23.77 | (1097) all_0_56_56 = e3 % 58.14/23.77 | % 58.14/23.77 | Equations (1097) can reduce 272 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (338) ~ (all_0_47_47 = e2) % 58.14/23.77 | (1108) all_0_51_51 = e2 | all_0_56_56 = e2 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (10171), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1105) all_0_47_47 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (1105) can reduce 338 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (338) ~ (all_0_47_47 = e2) % 58.14/23.77 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (10761), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (335) all_0_48_48 = e2 % 58.14/23.77 | % 58.14/23.77 | Combining equations (335,1279) yields a new equation: % 58.14/23.77 | (391) e2 = e0 % 58.14/23.77 | % 58.14/23.77 | Simplifying 391 yields: % 58.14/23.77 | (330) e2 = e0 % 58.14/23.77 | % 58.14/23.77 | Equations (330) can reduce 128 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (810) ~ (all_0_48_48 = e2) % 58.14/23.77 | (583) all_0_49_49 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (583) can reduce 340 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (464) ~ (all_0_51_51 = e1) % 58.14/23.77 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (131), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (459) all_0_42_42 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (459) can reduce 1380 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (1380) ~ (all_0_42_42 = e1) % 58.14/23.77 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1100), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1101) all_0_51_51 = e4 % 58.14/23.77 | % 58.14/23.77 | Equations (1101) can reduce 475 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (475) ~ (all_0_51_51 = e4) % 58.14/23.77 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (3259), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (654) all_0_47_47 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (654) can reduce 462 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (462) ~ (all_0_47_47 = e1) % 58.14/23.77 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (3264), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1109) all_0_51_51 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (1109) can reduce 464 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (464) ~ (all_0_51_51 = e1) % 58.14/23.77 | (1569) all_0_56_56 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (1569) can reduce 16 to: % 58.14/23.77 | (464) ~ (all_0_51_51 = e1) % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1104), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1109) all_0_51_51 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (1109) can reduce 464 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (464) ~ (all_0_51_51 = e1) % 58.14/23.77 | (660) all_0_51_51 = e3 % 58.14/23.77 | % 58.14/23.77 | Equations (660) can reduce 664 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (509) ~ (all_0_53_53 = e2) % 58.14/23.77 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (381), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (504) all_0_51_51 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (504) can reduce 139 to: % 58.14/23.77 | (294) ~ (all_0_39_39 = e2) % 58.14/23.77 | % 58.14/23.77 | Equations (504) can reduce 224 to: % 58.14/23.77 | (338) ~ (all_0_47_47 = e2) % 58.14/23.77 | % 58.14/23.77 | Equations (504) can reduce 664 to: % 58.14/23.77 | (626) ~ (e3 = e2) % 58.14/23.77 | % 58.14/23.77 | Simplifying 626 yields: % 58.14/23.77 | (212) ~ (e3 = e2) % 58.14/23.77 | % 58.14/23.77 | Equations (504) can reduce 115 to: % 58.14/23.77 | (128) ~ (e2 = e0) % 58.14/23.77 | % 58.14/23.77 | From (504) and (177) follows: % 58.14/23.77 | (514) op(e2, e2) = all_0_25_25 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (131), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (459) all_0_42_42 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (459) can reduce 1380 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (1380) ~ (all_0_42_42 = e1) % 58.14/23.77 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (105), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1105) all_0_47_47 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (1105) can reduce 338 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (338) ~ (all_0_47_47 = e2) % 58.14/23.77 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (3259), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (654) all_0_47_47 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (654) can reduce 462 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (462) ~ (all_0_47_47 = e1) % 58.14/23.77 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (3264), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1109) all_0_51_51 = e1 % 58.14/23.77 | % 58.14/23.77 | Combining equations (1109,504) yields a new equation: % 58.14/23.77 | (617) e2 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (617) can reduce 122 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (464) ~ (all_0_51_51 = e1) % 58.14/23.77 | (1569) all_0_56_56 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (1569) can reduce 154 to: % 58.14/23.77 | (151) ~ (all_0_39_39 = e1) % 58.14/23.77 | % 58.14/23.77 | Equations (1569) can reduce 236 to: % 58.14/23.77 | (1380) ~ (all_0_42_42 = e1) % 58.14/23.77 | % 58.14/23.77 | Equations (1569) can reduce 91 to: % 58.14/23.77 | (462) ~ (all_0_47_47 = e1) % 58.14/23.77 | % 58.14/23.77 | Equations (1569) can reduce 153 to: % 58.14/23.77 | (632) ~ (all_0_55_55 = e1) % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (610), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1298) all_0_53_53 = e4 % 58.14/23.77 | % 58.14/23.77 | Equations (1298) can reduce 1453 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (1453) ~ (all_0_53_53 = e4) % 58.14/23.77 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1694), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1208) all_0_53_53 = e1 % 58.14/23.77 | % 58.14/23.77 | Equations (1208) can reduce 162 to: % 58.14/23.77 | (132) ~ (all_0_40_40 = e1) % 58.14/23.77 | % 58.14/23.77 | Equations (1208) can reduce 65 to: % 58.14/23.77 | (1064) ~ (all_0_49_49 = e1) % 58.14/23.77 | % 58.14/23.77 | Equations (1208) can reduce 10 to: % 58.14/23.77 | (879) ~ (all_0_58_58 = e1) % 58.14/23.77 | % 58.14/23.77 | Simplifying 879 yields: % 58.14/23.77 | (880) ~ (all_0_58_58 = e1) % 58.14/23.77 | % 58.14/23.77 | Equations (1208) can reduce 1453 to: % 58.14/23.77 | (602) ~ (e4 = e1) % 58.14/23.77 | % 58.14/23.77 | Simplifying 602 yields: % 58.14/23.77 | (110) ~ (e4 = e1) % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (10171), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1105) all_0_47_47 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (1105) can reduce 338 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (338) ~ (all_0_47_47 = e2) % 58.14/23.77 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (10761), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (335) all_0_48_48 = e2 % 58.14/23.77 | % 58.14/23.77 | Combining equations (1279,335) yields a new equation: % 58.14/23.77 | (330) e2 = e0 % 58.14/23.77 | % 58.14/23.77 | Equations (330) can reduce 128 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (810) ~ (all_0_48_48 = e2) % 58.14/23.77 | (583) all_0_49_49 = e2 % 58.14/23.77 | % 58.14/23.77 | Equations (583) can reduce 200 to: % 58.14/23.77 | (296) ~ (all_0_40_40 = e2) % 58.14/23.77 | % 58.14/23.77 | Equations (583) can reduce 256 to: % 58.14/23.77 | (327) ~ (e4 = e2) % 58.14/23.77 | % 58.14/23.77 | Simplifying 327 yields: % 58.14/23.77 | (48) ~ (e4 = e2) % 58.14/23.77 | % 58.14/23.77 | Equations (583) can reduce 1064 to: % 58.14/23.77 | (122) ~ (e2 = e1) % 58.14/23.77 | % 58.14/23.77 | From (583) and (129) follows: % 58.14/23.77 | (14996) op(e2, e2) = all_0_20_20 % 58.14/23.77 | % 58.14/23.77 | From (583) and (66) follows: % 58.14/23.77 | (20781) op(e2, e0) = all_0_21_21 % 58.14/23.77 | % 58.14/23.77 | From (583) and (55) follows: % 58.14/23.77 | (727) op(e2, e0) = e2 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (189), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (532) all_0_44_44 = e3 % 58.14/23.77 | % 58.14/23.77 | Equations (532) can reduce 149 to: % 58.14/23.77 | (1898) ~ (all_0_41_41 = e3) % 58.14/23.77 | % 58.14/23.77 | From (532) and (204) follows: % 58.14/23.77 | (15591) op(e3, e3) = all_0_11_11 % 58.14/23.77 | % 58.14/23.77 +-Applying beta-rule and splitting (1789), into two cases. % 58.14/23.77 |-Branch one: % 58.14/23.77 | (1790) all_0_47_47 = e4 % 58.14/23.77 | % 58.14/23.77 | Equations (1790) can reduce 252 to: % 58.14/23.77 | (266) $false % 58.14/23.77 | % 58.14/23.77 |-The branch is then unsatisfiable % 58.14/23.77 |-Branch two: % 58.14/23.77 | (252) ~ (all_0_47_47 = e4) % 58.14/23.77 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 58.14/23.77 | % 58.14/23.78 +-Applying beta-rule and splitting (1793), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (674) all_0_47_47 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (674) can reduce 678 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (678) ~ (all_0_47_47 = e0) % 58.14/23.78 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (1831), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (654) all_0_47_47 = e1 % 58.14/23.78 | % 58.14/23.78 | Equations (654) can reduce 462 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (462) ~ (all_0_47_47 = e1) % 58.14/23.78 | (522) all_0_47_47 = e3 % 58.14/23.78 | % 58.14/23.78 | Equations (522) can reduce 252 to: % 58.14/23.78 | (277) ~ (e4 = e3) % 58.14/23.78 | % 58.14/23.78 | Simplifying 277 yields: % 58.14/23.78 | (188) ~ (e4 = e3) % 58.14/23.78 | % 58.14/23.78 | From (522) and (23) follows: % 58.14/23.78 | (531) op(e2, e2) = e3 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e3, e3, all_0_11_11, all_0_41_41 and discharging atoms op(e3, e3) = all_0_11_11, op(e3, e3) = all_0_41_41, yields: % 58.14/23.78 | (20801) all_0_11_11 = all_0_41_41 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e2, all_0_25_25, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = all_0_25_25, yields: % 58.14/23.78 | (4266) all_0_20_20 = all_0_25_25 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e2, e3, all_0_20_20 and discharging atoms op(e2, e2) = all_0_20_20, op(e2, e2) = e3, yields: % 58.14/23.78 | (4837) all_0_20_20 = e3 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e0, e2, all_0_21_21 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = e2, yields: % 58.14/23.78 | (4269) all_0_21_21 = e2 % 58.14/23.78 | % 58.14/23.78 | Combining equations (4266,4837) yields a new equation: % 58.14/23.78 | (20805) all_0_25_25 = e3 % 58.14/23.78 | % 58.14/23.78 | Simplifying 20805 yields: % 58.14/23.78 | (683) all_0_25_25 = e3 % 58.14/23.78 | % 58.14/23.78 | From (20801) and (15591) follows: % 58.14/23.78 | (219) op(e3, e3) = all_0_41_41 % 58.14/23.78 | % 58.14/23.78 | From (683) and (514) follows: % 58.14/23.78 | (531) op(e2, e2) = e3 % 58.14/23.78 | % 58.14/23.78 | From (4269) and (20781) follows: % 58.14/23.78 | (727) op(e2, e0) = e2 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (64), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (437) all_0_41_41 = e4 % 58.14/23.78 | % 58.14/23.78 | Equations (437) can reduce 214 to: % 58.14/23.78 | (1901) ~ (all_0_42_42 = e4) % 58.14/23.78 | % 58.14/23.78 | Simplifying 1901 yields: % 58.14/23.78 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.78 | % 58.14/23.78 | Equations (437) can reduce 191 to: % 58.14/23.78 | (1909) ~ (all_0_55_55 = e4) % 58.14/23.78 | % 58.14/23.78 | Simplifying 1909 yields: % 58.14/23.78 | (763) ~ (all_0_55_55 = e4) % 58.14/23.78 | % 58.14/23.78 | Equations (437) can reduce 1898 to: % 58.14/23.78 | (188) ~ (e4 = e3) % 58.14/23.78 | % 58.14/23.78 | Equations (437) can reduce 85 to: % 58.14/23.78 | (48) ~ (e4 = e2) % 58.14/23.78 | % 58.14/23.78 | Equations (437) can reduce 457 to: % 58.14/23.78 | (110) ~ (e4 = e1) % 58.14/23.78 | % 58.14/23.78 | From (437) and (219) follows: % 58.14/23.78 | (1913) op(e3, e3) = e4 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (171), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (265) all_0_54_54 = e4 % 58.14/23.78 | % 58.14/23.78 | Combining equations (268,265) yields a new equation: % 58.14/23.78 | (425) e4 = e3 % 58.14/23.78 | % 58.14/23.78 | Equations (425) can reduce 188 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (258) ~ (all_0_54_54 = e4) % 58.14/23.78 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.14/23.78 | % 58.14/23.78 | Equations (268) can reduce 258 to: % 58.14/23.78 | (277) ~ (e4 = e3) % 58.14/23.78 | % 58.14/23.78 | Simplifying 277 yields: % 58.14/23.78 | (188) ~ (e4 = e3) % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (164), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (471) all_0_39_39 = e4 % 58.14/23.78 | % 58.14/23.78 | Equations (471) can reduce 176 to: % 58.14/23.78 | (7398) ~ (all_0_40_40 = e4) % 58.14/23.78 | % 58.14/23.78 | Simplifying 7398 yields: % 58.14/23.78 | (447) ~ (all_0_40_40 = e4) % 58.14/23.78 | % 58.14/23.78 | Equations (471) can reduce 294 to: % 58.14/23.78 | (48) ~ (e4 = e2) % 58.14/23.78 | % 58.14/23.78 | Equations (471) can reduce 151 to: % 58.14/23.78 | (110) ~ (e4 = e1) % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (104), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (480) all_0_39_39 = e0 % 58.14/23.78 | % 58.14/23.78 | Combining equations (480,471) yields a new equation: % 58.14/23.78 | (397) e4 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (397) can reduce 49 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (484) ~ (all_0_39_39 = e0) % 58.14/23.78 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (471) can reduce 484 to: % 58.14/23.78 | (49) ~ (e4 = e0) % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (575), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (587) all_0_55_55 = e4 % 58.14/23.78 | % 58.14/23.78 | Equations (587) can reduce 763 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (763) ~ (all_0_55_55 = e4) % 58.14/23.78 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (165), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (794) all_0_41_41 = e0 % 58.14/23.78 | % 58.14/23.78 | Combining equations (794,437) yields a new equation: % 58.14/23.78 | (397) e4 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (397) can reduce 49 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (357) ~ (all_0_41_41 = e0) % 58.14/23.78 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (437) can reduce 357 to: % 58.14/23.78 | (49) ~ (e4 = e0) % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (558), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (559) all_0_42_42 = e0 % 58.14/23.78 | % 58.14/23.78 | From (559) and (210) follows: % 58.14/23.78 | (20848) op(e3, e2) = e0 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (764), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (842) all_0_56_56 = e4 % 58.14/23.78 | % 58.14/23.78 | Combining equations (1569,842) yields a new equation: % 58.14/23.78 | (630) e4 = e1 % 58.14/23.78 | % 58.14/23.78 | Equations (630) can reduce 110 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (477) ~ (all_0_56_56 = e4) % 58.14/23.78 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (935), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (871) all_0_57_57 = e4 % 58.14/23.78 | % 58.14/23.78 | Combining equations (871,442) yields a new equation: % 58.14/23.78 | (322) e4 = e2 % 58.14/23.78 | % 58.14/23.78 | Simplifying 322 yields: % 58.14/23.78 | (323) e4 = e2 % 58.14/23.78 | % 58.14/23.78 | Equations (323) can reduce 48 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (839) ~ (all_0_57_57 = e4) % 58.14/23.78 | (910) all_0_58_58 = e4 % 58.14/23.78 | % 58.14/23.78 | Equations (910) can reduce 178 to: % 58.14/23.78 | (447) ~ (all_0_40_40 = e4) % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (75), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (485) all_0_40_40 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (485) can reduce 132 to: % 58.14/23.78 | (435) ~ (e1 = e0) % 58.14/23.78 | % 58.14/23.78 | Simplifying 435 yields: % 58.14/23.78 | (233) ~ (e1 = e0) % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (56), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (696) unit = e2 % 58.14/23.78 | % 58.14/23.78 | From (696) and (24) follows: % 58.14/23.78 | (697) op(e2, e3) = e3 % 58.14/23.78 | % 58.14/23.78 | From (696) and (209) follows: % 58.14/23.78 | (7585) op(e2, e0) = e0 % 58.14/23.78 | % 58.14/23.78 | From (696) and (32) follows: % 58.14/23.78 | (698) op(e2, e2) = e2 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 58.14/23.78 | (455) e3 = e1 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 58.14/23.78 | (662) e3 = e2 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.14/23.78 | (330) e2 = e0 % 58.14/23.78 | % 58.14/23.78 | Combining equations (662,455) yields a new equation: % 58.14/23.78 | (616) e2 = e1 % 58.14/23.78 | % 58.14/23.78 | Simplifying 616 yields: % 58.14/23.78 | (617) e2 = e1 % 58.14/23.78 | % 58.14/23.78 | Combining equations (330,617) yields a new equation: % 58.14/23.78 | (431) e1 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (431) can reduce 233 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (707) ~ (unit = e2) % 58.14/23.78 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (708), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (709) unit = e4 % 58.14/23.78 | % 58.14/23.78 | From (709) and (227) follows: % 58.14/23.78 | (710) op(e4, e4) = e4 % 58.14/23.78 | % 58.14/23.78 | From (709) and (40) follows: % 58.14/23.78 | (711) op(e3, e4) = e3 % 58.14/23.78 | % 58.14/23.78 | From (709) and (32) follows: % 58.14/23.78 | (712) op(e2, e4) = e2 % 58.14/23.78 | % 58.14/23.78 | From (709) and (42) follows: % 58.14/23.78 | (713) op(e0, e4) = e0 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.14/23.78 | (630) e4 = e1 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.14/23.78 | (662) e3 = e2 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.14/23.78 | (323) e4 = e2 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.14/23.78 | (676) e3 = e0 % 58.14/23.78 | % 58.14/23.78 | Combining equations (323,630) yields a new equation: % 58.14/23.78 | (616) e2 = e1 % 58.14/23.78 | % 58.14/23.78 | Simplifying 616 yields: % 58.14/23.78 | (617) e2 = e1 % 58.14/23.78 | % 58.14/23.78 | Combining equations (662,676) yields a new equation: % 58.14/23.78 | (391) e2 = e0 % 58.14/23.78 | % 58.14/23.78 | Simplifying 391 yields: % 58.14/23.78 | (330) e2 = e0 % 58.14/23.78 | % 58.14/23.78 | Combining equations (330,617) yields a new equation: % 58.14/23.78 | (431) e1 = e0 % 58.14/23.78 | % 58.14/23.78 | Equations (431) can reduce 233 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (724) ~ (unit = e4) % 58.14/23.78 | (725) unit = e3 | unit = e1 | unit = e0 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (725), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (726) unit = e0 % 58.14/23.78 | % 58.14/23.78 | From (726) and (211) follows: % 58.14/23.78 | (15180) op(e0, e1) = e1 % 58.14/23.78 | % 58.14/23.78 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.14/23.78 | (617) e2 = e1 % 58.14/23.78 | % 58.14/23.78 | Equations (617) can reduce 122 to: % 58.14/23.78 | (266) $false % 58.14/23.78 | % 58.14/23.78 |-The branch is then unsatisfiable % 58.14/23.78 |-Branch two: % 58.14/23.78 | (734) ~ (unit = e0) % 58.14/23.78 | (735) unit = e3 | unit = e1 % 58.14/23.78 | % 58.14/23.78 +-Applying beta-rule and splitting (735), into two cases. % 58.14/23.78 |-Branch one: % 58.14/23.78 | (736) unit = e1 % 58.14/23.78 | % 58.14/23.78 | Equations (736) can reduce 734 to: % 58.14/23.78 | (233) ~ (e1 = e0) % 58.14/23.78 | % 58.14/23.78 | From (736) and (244) follows: % 58.14/23.78 | (738) op(e1, e4) = e4 % 58.14/23.78 | % 58.14/23.78 | From (736) and (227) follows: % 58.14/23.78 | (739) op(e4, e1) = e4 % 58.14/23.78 | % 58.14/23.78 | From (736) and (40) follows: % 58.14/23.78 | (1652) op(e3, e1) = e3 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.14/23.79 | (425) e4 = e3 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 58.14/23.79 | (455) e3 = e1 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.14/23.79 | (397) e4 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (425,397) yields a new equation: % 58.14/23.79 | (675) e3 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 675 yields: % 58.14/23.79 | (676) e3 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (676,455) yields a new equation: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (748) ~ (unit = e1) % 58.14/23.79 | (749) unit = e3 % 58.14/23.79 | % 58.14/23.79 | From (749) and (244) follows: % 58.14/23.79 | (750) op(e3, e4) = e4 % 58.14/23.79 | % 58.14/23.79 | From (749) and (15) follows: % 58.14/23.79 | (751) op(e3, e2) = e2 % 58.14/23.79 | % 58.14/23.79 | From (749) and (40) follows: % 58.14/23.79 | (3715) op(e3, e3) = e3 % 58.14/23.79 | % 58.14/23.79 | From (749) and (28) follows: % 58.14/23.79 | (2235) op(e1, e3) = e1 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.14/23.79 | (323) e4 = e2 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.14/23.79 | (425) e4 = e3 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e2, e2, e0 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e0, yields: % 58.14/23.79 | (330) e2 = e0 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.14/23.79 | (455) e3 = e1 % 58.14/23.79 | % 58.14/23.79 | Combining equations (323,425) yields a new equation: % 58.14/23.79 | (662) e3 = e2 % 58.14/23.79 | % 58.14/23.79 | Combining equations (662,455) yields a new equation: % 58.14/23.79 | (616) e2 = e1 % 58.14/23.79 | % 58.14/23.79 | Simplifying 616 yields: % 58.14/23.79 | (617) e2 = e1 % 58.14/23.79 | % 58.14/23.79 | Combining equations (330,617) yields a new equation: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.79 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (316), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1378) all_0_40_40 = e4 % 58.14/23.79 | % 58.14/23.79 | Equations (1378) can reduce 447 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (447) ~ (all_0_40_40 = e4) % 58.14/23.79 | (485) all_0_40_40 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (485) can reduce 1401 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (358) ~ (all_0_42_42 = e0) % 58.14/23.79 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (150), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1378) all_0_40_40 = e4 % 58.14/23.79 | % 58.14/23.79 | Equations (1378) can reduce 447 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (447) ~ (all_0_40_40 = e4) % 58.14/23.79 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (395), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (794) all_0_41_41 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (794,437) yields a new equation: % 58.14/23.79 | (397) e4 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (397) can reduce 49 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (357) ~ (all_0_41_41 = e0) % 58.14/23.79 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (316), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1378) all_0_40_40 = e4 % 58.14/23.79 | % 58.14/23.79 | Equations (1378) can reduce 447 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (447) ~ (all_0_40_40 = e4) % 58.14/23.79 | (485) all_0_40_40 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (485) can reduce 132 to: % 58.14/23.79 | (435) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 435 yields: % 58.14/23.79 | (233) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (125), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (858) all_0_55_55 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (858) can reduce 270 to: % 58.14/23.79 | (541) ~ (e3 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 541 yields: % 58.14/23.79 | (80) ~ (e3 = e0) % 58.14/23.79 | % 58.14/23.79 | Equations (858) can reduce 632 to: % 58.14/23.79 | (435) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 435 yields: % 58.14/23.79 | (233) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (563), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (674) all_0_47_47 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (522,674) yields a new equation: % 58.14/23.79 | (675) e3 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 675 yields: % 58.14/23.79 | (676) e3 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (676) can reduce 80 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (678) ~ (all_0_47_47 = e0) % 58.14/23.79 | (679) all_0_56_56 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (1569,679) yields a new equation: % 58.14/23.79 | (546) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 546 yields: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (803) ~ (all_0_55_55 = e0) % 58.14/23.79 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (895), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (538) all_0_46_46 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (545,538) yields a new equation: % 58.14/23.79 | (546) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 546 yields: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (831) ~ (all_0_46_46 = e0) % 58.14/23.79 | (858) all_0_55_55 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (858) can reduce 803 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.79 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (2115), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1392) all_0_42_42 = e4 % 58.14/23.79 | % 58.14/23.79 | Equations (1392) can reduce 1890 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.79 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (2246), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1790) all_0_47_47 = e4 % 58.14/23.79 | % 58.14/23.79 | Combining equations (1790,522) yields a new equation: % 58.14/23.79 | (424) e4 = e3 % 58.14/23.79 | % 58.14/23.79 | Simplifying 424 yields: % 58.14/23.79 | (425) e4 = e3 % 58.14/23.79 | % 58.14/23.79 | Equations (425) can reduce 188 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (252) ~ (all_0_47_47 = e4) % 58.14/23.79 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (6548), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1101) all_0_51_51 = e4 % 58.14/23.79 | % 58.14/23.79 | Combining equations (504,1101) yields a new equation: % 58.14/23.79 | (323) e4 = e2 % 58.14/23.79 | % 58.14/23.79 | Equations (323) can reduce 48 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (475) ~ (all_0_51_51 = e4) % 58.14/23.79 | (842) all_0_56_56 = e4 % 58.14/23.79 | % 58.14/23.79 | Combining equations (1569,842) yields a new equation: % 58.14/23.79 | (630) e4 = e1 % 58.14/23.79 | % 58.14/23.79 | Equations (630) can reduce 110 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (440) ~ (all_0_41_41 = e4) % 58.14/23.79 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (27), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (437) all_0_41_41 = e4 % 58.14/23.79 | % 58.14/23.79 | Equations (437) can reduce 440 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (440) ~ (all_0_41_41 = e4) % 58.14/23.79 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (4049), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (794) all_0_41_41 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (794) can reduce 191 to: % 58.14/23.79 | (4444) ~ (all_0_55_55 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 4444 yields: % 58.14/23.79 | (803) ~ (all_0_55_55 = e0) % 58.14/23.79 | % 58.14/23.79 | Equations (794) can reduce 85 to: % 58.14/23.79 | (365) ~ (e2 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 365 yields: % 58.14/23.79 | (128) ~ (e2 = e0) % 58.14/23.79 | % 58.14/23.79 | Equations (794) can reduce 457 to: % 58.14/23.79 | (435) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 435 yields: % 58.14/23.79 | (233) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (125), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (858) all_0_55_55 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (858) can reduce 803 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (803) ~ (all_0_55_55 = e0) % 58.14/23.79 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (152), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (1392) all_0_42_42 = e4 % 58.14/23.79 | % 58.14/23.79 | From (1392) and (210) follows: % 58.14/23.79 | (4074) op(e3, e2) = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (104), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (480) all_0_39_39 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (480) can reduce 294 to: % 58.14/23.79 | (365) ~ (e2 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 365 yields: % 58.14/23.79 | (128) ~ (e2 = e0) % 58.14/23.79 | % 58.14/23.79 | Equations (480) can reduce 151 to: % 58.14/23.79 | (435) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 435 yields: % 58.14/23.79 | (233) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | From (480) and (14) follows: % 58.14/23.79 | (4090) op(e4, e2) = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (174), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (386) all_0_55_55 = e2 % 58.14/23.79 | % 58.14/23.79 | Equations (386) can reduce 304 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (304) ~ (all_0_55_55 = e2) % 58.14/23.79 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (863), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (679) all_0_56_56 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (1569,679) yields a new equation: % 58.14/23.79 | (546) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 546 yields: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (828) ~ (all_0_56_56 = e0) % 58.14/23.79 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (2051), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (587) all_0_55_55 = e4 % 58.14/23.79 | % 58.14/23.79 | From (587) and (74) follows: % 58.14/23.79 | (589) op(e0, e3) = e4 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (924), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (875) all_0_57_57 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (875,442) yields a new equation: % 58.14/23.79 | (330) e2 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (330) can reduce 128 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (364) ~ (all_0_57_57 = e0) % 58.14/23.79 | (914) all_0_58_58 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (914) can reduce 880 to: % 58.14/23.79 | (435) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | Simplifying 435 yields: % 58.14/23.79 | (233) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (56), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (696) unit = e2 % 58.14/23.79 | % 58.14/23.79 | From (696) and (24) follows: % 58.14/23.79 | (697) op(e2, e3) = e3 % 58.14/23.79 | % 58.14/23.79 | From (696) and (227) follows: % 58.14/23.79 | (4284) op(e4, e2) = e4 % 58.14/23.79 | % 58.14/23.79 | From (696) and (40) follows: % 58.14/23.79 | (4285) op(e3, e2) = e3 % 58.14/23.79 | % 58.14/23.79 | From (696) and (32) follows: % 58.14/23.79 | (698) op(e2, e2) = e2 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 58.14/23.79 | (397) e4 = e0 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.14/23.79 | (425) e4 = e3 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 58.14/23.79 | (455) e3 = e1 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 58.14/23.79 | (662) e3 = e2 % 58.14/23.79 | % 58.14/23.79 | Combining equations (397,425) yields a new equation: % 58.14/23.79 | (676) e3 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (455,662) yields a new equation: % 58.14/23.79 | (617) e2 = e1 % 58.14/23.79 | % 58.14/23.79 | Combining equations (676,662) yields a new equation: % 58.14/23.79 | (330) e2 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (330,617) yields a new equation: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (707) ~ (unit = e2) % 58.14/23.79 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (708), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (709) unit = e4 % 58.14/23.79 | % 58.14/23.79 | From (709) and (227) follows: % 58.14/23.79 | (710) op(e4, e4) = e4 % 58.14/23.79 | % 58.14/23.79 | From (709) and (40) follows: % 58.14/23.79 | (711) op(e3, e4) = e3 % 58.14/23.79 | % 58.14/23.79 | From (709) and (32) follows: % 58.14/23.79 | (712) op(e2, e4) = e2 % 58.14/23.79 | % 58.14/23.79 | From (709) and (42) follows: % 58.14/23.79 | (713) op(e0, e4) = e0 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.14/23.79 | (630) e4 = e1 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.14/23.79 | (662) e3 = e2 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.14/23.79 | (323) e4 = e2 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.14/23.79 | (676) e3 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (630,323) yields a new equation: % 58.14/23.79 | (617) e2 = e1 % 58.14/23.79 | % 58.14/23.79 | Combining equations (662,676) yields a new equation: % 58.14/23.79 | (391) e2 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 391 yields: % 58.14/23.79 | (330) e2 = e0 % 58.14/23.79 | % 58.14/23.79 | Combining equations (617,330) yields a new equation: % 58.14/23.79 | (546) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Simplifying 546 yields: % 58.14/23.79 | (431) e1 = e0 % 58.14/23.79 | % 58.14/23.79 | Equations (431) can reduce 233 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (724) ~ (unit = e4) % 58.14/23.79 | (725) unit = e3 | unit = e1 | unit = e0 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (725), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (726) unit = e0 % 58.14/23.79 | % 58.14/23.79 | From (726) and (211) follows: % 58.14/23.79 | (15180) op(e0, e1) = e1 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.14/23.79 | (617) e2 = e1 % 58.14/23.79 | % 58.14/23.79 | Equations (617) can reduce 122 to: % 58.14/23.79 | (266) $false % 58.14/23.79 | % 58.14/23.79 |-The branch is then unsatisfiable % 58.14/23.79 |-Branch two: % 58.14/23.79 | (734) ~ (unit = e0) % 58.14/23.79 | (735) unit = e3 | unit = e1 % 58.14/23.79 | % 58.14/23.79 +-Applying beta-rule and splitting (735), into two cases. % 58.14/23.79 |-Branch one: % 58.14/23.79 | (736) unit = e1 % 58.14/23.79 | % 58.14/23.79 | Equations (736) can reduce 734 to: % 58.14/23.79 | (233) ~ (e1 = e0) % 58.14/23.79 | % 58.14/23.79 | From (736) and (244) follows: % 58.14/23.79 | (738) op(e1, e4) = e4 % 58.14/23.79 | % 58.14/23.79 | From (736) and (227) follows: % 58.14/23.79 | (739) op(e4, e1) = e4 % 58.14/23.79 | % 58.14/23.79 | From (736) and (40) follows: % 58.14/23.79 | (1652) op(e3, e1) = e3 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.14/23.79 | (425) e4 = e3 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 58.14/23.79 | (455) e3 = e1 % 58.14/23.79 | % 58.14/23.79 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.14/23.80 | (397) e4 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (425,397) yields a new equation: % 58.14/23.80 | (675) e3 = e0 % 58.14/23.80 | % 58.14/23.80 | Simplifying 675 yields: % 58.14/23.80 | (676) e3 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (676,455) yields a new equation: % 58.14/23.80 | (431) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (431) can reduce 233 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (748) ~ (unit = e1) % 58.14/23.80 | (749) unit = e3 % 58.14/23.80 | % 58.14/23.80 | From (749) and (15) follows: % 58.14/23.80 | (751) op(e3, e2) = e2 % 58.14/23.80 | % 58.14/23.80 | From (749) and (32) follows: % 58.14/23.80 | (5793) op(e2, e3) = e2 % 58.14/23.80 | % 58.14/23.80 | From (749) and (42) follows: % 58.14/23.80 | (752) op(e0, e3) = e0 % 58.14/23.80 | % 58.14/23.80 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 58.14/23.80 | (323) e4 = e2 % 58.14/23.80 | % 58.14/23.80 | Instantiating formula (29) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 58.14/23.80 | (617) e2 = e1 % 58.14/23.80 | % 58.14/23.80 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.14/23.80 | (397) e4 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (323,397) yields a new equation: % 58.14/23.80 | (391) e2 = e0 % 58.14/23.80 | % 58.14/23.80 | Simplifying 391 yields: % 58.14/23.80 | (330) e2 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (617,330) yields a new equation: % 58.14/23.80 | (546) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Simplifying 546 yields: % 58.14/23.80 | (431) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (431) can reduce 233 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (763) ~ (all_0_55_55 = e4) % 58.14/23.80 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (2055), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (858) all_0_55_55 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (858) can reduce 803 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (803) ~ (all_0_55_55 = e0) % 58.14/23.80 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (2315), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (629) all_0_55_55 = e1 % 58.14/23.80 | % 58.14/23.80 | Equations (629) can reduce 632 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (632) ~ (all_0_55_55 = e1) % 58.14/23.80 | (2336) all_0_55_55 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (2336) can reduce 270 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (484) ~ (all_0_39_39 = e0) % 58.14/23.80 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (863), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (679) all_0_56_56 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (1569,679) yields a new equation: % 58.14/23.80 | (546) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Simplifying 546 yields: % 58.14/23.80 | (431) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (431) can reduce 233 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (828) ~ (all_0_56_56 = e0) % 58.14/23.80 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (924), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (875) all_0_57_57 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (442,875) yields a new equation: % 58.14/23.80 | (391) e2 = e0 % 58.14/23.80 | % 58.14/23.80 | Simplifying 391 yields: % 58.14/23.80 | (330) e2 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (330) can reduce 128 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (364) ~ (all_0_57_57 = e0) % 58.14/23.80 | (914) all_0_58_58 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (914) can reduce 178 to: % 58.14/23.80 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (150), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1378) all_0_40_40 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1378) can reduce 176 to: % 58.14/23.80 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (320), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (471) all_0_39_39 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (471) can reduce 1377 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.80 | (480) all_0_39_39 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (480) can reduce 484 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (447) ~ (all_0_40_40 = e4) % 58.14/23.80 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (316), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1378) all_0_40_40 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1378) can reduce 447 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (447) ~ (all_0_40_40 = e4) % 58.14/23.80 | (485) all_0_40_40 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (485) can reduce 1401 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.80 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (441), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1392) all_0_42_42 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1392) can reduce 1890 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.80 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (164), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (471) all_0_39_39 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (471) can reduce 176 to: % 58.14/23.80 | (7398) ~ (all_0_40_40 = e4) % 58.14/23.80 | % 58.14/23.80 | Simplifying 7398 yields: % 58.14/23.80 | (447) ~ (all_0_40_40 = e4) % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (316), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1378) all_0_40_40 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1378) can reduce 447 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (447) ~ (all_0_40_40 = e4) % 58.14/23.80 | (485) all_0_40_40 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (485) can reduce 178 to: % 58.14/23.80 | (490) ~ (all_0_58_58 = e0) % 58.14/23.80 | % 58.14/23.80 | Simplifying 490 yields: % 58.14/23.80 | (491) ~ (all_0_58_58 = e0) % 58.14/23.80 | % 58.14/23.80 | Equations (485) can reduce 296 to: % 58.14/23.80 | (365) ~ (e2 = e0) % 58.14/23.80 | % 58.14/23.80 | Simplifying 365 yields: % 58.14/23.80 | (128) ~ (e2 = e0) % 58.14/23.80 | % 58.14/23.80 | Equations (485) can reduce 132 to: % 58.14/23.80 | (435) ~ (e1 = e0) % 58.14/23.80 | % 58.14/23.80 | Simplifying 435 yields: % 58.14/23.80 | (233) ~ (e1 = e0) % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (863), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (679) all_0_56_56 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (1569,679) yields a new equation: % 58.14/23.80 | (546) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Simplifying 546 yields: % 58.14/23.80 | (431) e1 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (431) can reduce 233 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (828) ~ (all_0_56_56 = e0) % 58.14/23.80 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (924), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (875) all_0_57_57 = e0 % 58.14/23.80 | % 58.14/23.80 | Combining equations (875,442) yields a new equation: % 58.14/23.80 | (330) e2 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (330) can reduce 128 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (364) ~ (all_0_57_57 = e0) % 58.14/23.80 | (914) all_0_58_58 = e0 % 58.14/23.80 | % 58.14/23.80 | Equations (914) can reduce 491 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.80 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (2115), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1392) all_0_42_42 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1392) can reduce 1890 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.80 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (2246), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1790) all_0_47_47 = e4 % 58.14/23.80 | % 58.14/23.80 | Combining equations (1790,522) yields a new equation: % 58.14/23.80 | (424) e4 = e3 % 58.14/23.80 | % 58.14/23.80 | Simplifying 424 yields: % 58.14/23.80 | (425) e4 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (425) can reduce 188 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (252) ~ (all_0_47_47 = e4) % 58.14/23.80 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (6548), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1101) all_0_51_51 = e4 % 58.14/23.80 | % 58.14/23.80 | Combining equations (504,1101) yields a new equation: % 58.14/23.80 | (323) e4 = e2 % 58.14/23.80 | % 58.14/23.80 | Equations (323) can reduce 48 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (475) ~ (all_0_51_51 = e4) % 58.14/23.80 | (842) all_0_56_56 = e4 % 58.14/23.80 | % 58.14/23.80 | Combining equations (1569,842) yields a new equation: % 58.14/23.80 | (630) e4 = e1 % 58.14/23.80 | % 58.14/23.80 | Equations (630) can reduce 110 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (357) ~ (all_0_41_41 = e0) % 58.14/23.80 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (4053), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (453) all_0_41_41 = e1 % 58.14/23.80 | % 58.14/23.80 | Equations (453) can reduce 457 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (457) ~ (all_0_41_41 = e1) % 58.14/23.80 | (403) all_0_41_41 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (403) can reduce 1898 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (407) ~ (all_0_44_44 = e3) % 58.14/23.80 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (537), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (884) all_0_49_49 = e3 % 58.14/23.80 | % 58.14/23.80 | Combining equations (583,884) yields a new equation: % 58.14/23.80 | (662) e3 = e2 % 58.14/23.80 | % 58.14/23.80 | Equations (662) can reduce 212 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (525) ~ (all_0_49_49 = e3) % 58.14/23.80 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (1899), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (516) all_0_42_42 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (516) can reduce 1380 to: % 58.14/23.80 | (213) ~ (e3 = e1) % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (887), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (665) all_0_53_53 = e3 % 58.14/23.80 | % 58.14/23.80 | Combining equations (1208,665) yields a new equation: % 58.14/23.80 | (455) e3 = e1 % 58.14/23.80 | % 58.14/23.80 | Equations (455) can reduce 213 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (903) ~ (all_0_53_53 = e3) % 58.14/23.80 | (795) all_0_58_58 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (795) can reduce 276 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (405) ~ (all_0_42_42 = e3) % 58.14/23.80 | (532) all_0_44_44 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (532) can reduce 407 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1459) ~ (all_0_53_53 = e1) % 58.14/23.80 | (665) all_0_53_53 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (665) can reduce 903 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1099) ~ (all_0_51_51 = e2) % 58.14/23.80 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (7), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (504) all_0_51_51 = e2 % 58.14/23.80 | % 58.14/23.80 | Equations (504) can reduce 1099 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1099) ~ (all_0_51_51 = e2) % 58.14/23.80 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (610), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1298) all_0_53_53 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1298) can reduce 1453 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1453) ~ (all_0_53_53 = e4) % 58.14/23.80 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (1694), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1208) all_0_53_53 = e1 % 58.14/23.80 | % 58.14/23.80 | Equations (1208) can reduce 6 to: % 58.14/23.80 | (464) ~ (all_0_51_51 = e1) % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (1100), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1101) all_0_51_51 = e4 % 58.14/23.80 | % 58.14/23.80 | Equations (1101) can reduce 475 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (475) ~ (all_0_51_51 = e4) % 58.14/23.80 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (1104), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1109) all_0_51_51 = e1 % 58.14/23.80 | % 58.14/23.80 | Equations (1109) can reduce 464 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (464) ~ (all_0_51_51 = e1) % 58.14/23.80 | (660) all_0_51_51 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (660) can reduce 664 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (1459) ~ (all_0_53_53 = e1) % 58.14/23.80 | (665) all_0_53_53 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (665) can reduce 903 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (549) ~ (all_0_46_46 = e1) % 58.14/23.80 | (1557) all_0_46_46 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (1557) can reduce 409 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (411) ~ (all_0_50_50 = e3) % 58.14/23.80 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (241), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (378) all_0_50_50 = e2 % 58.14/23.80 | % 58.14/23.80 | Equations (378) can reduce 302 to: % 58.14/23.80 | (266) $false % 58.14/23.80 | % 58.14/23.80 |-The branch is then unsatisfiable % 58.14/23.80 |-Branch two: % 58.14/23.80 | (302) ~ (all_0_50_50 = e2) % 58.14/23.80 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 58.14/23.80 | % 58.14/23.80 +-Applying beta-rule and splitting (1923), into two cases. % 58.14/23.80 |-Branch one: % 58.14/23.80 | (1557) all_0_46_46 = e3 % 58.14/23.80 | % 58.14/23.80 | Equations (1557) can reduce 19 to: % 58.14/23.80 | (2538) ~ (all_0_47_47 = e3) % 58.14/23.80 | % 58.14/23.80 | Simplifying 2538 yields: % 58.14/23.80 | (1091) ~ (all_0_47_47 = e3) % 58.14/23.80 | % 58.14/23.80 | Equations (1557) can reduce 35 to: % 58.14/23.80 | (410) ~ (all_0_50_50 = e3) % 58.14/23.80 | % 58.14/23.80 | Simplifying 410 yields: % 58.14/23.80 | (411) ~ (all_0_50_50 = e3) % 58.14/23.80 | % 58.14/23.80 | Equations (1557) can reduce 300 to: % 58.14/23.80 | (212) ~ (e3 = e2) % 58.14/23.80 | % 58.14/23.80 | From (1557) and (33) follows: % 58.14/23.80 | (3526) op(e3, e3) = all_0_16_16 % 58.14/23.80 | % 58.14/23.80 | From (1557) and (179) follows: % 58.14/23.81 | (3527) op(e3, e2) = all_0_15_15 % 58.14/23.81 | % 58.14/23.81 | From (1557) and (120) follows: % 58.14/23.81 | (697) op(e2, e3) = e3 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (422), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (775) all_0_50_50 = e4 % 58.14/23.81 | % 58.14/23.81 | Equations (775) can reduce 566 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (566) ~ (all_0_50_50 = e4) % 58.14/23.81 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (1444), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (601) all_0_50_50 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (601) can reduce 221 to: % 58.14/23.81 | (457) ~ (all_0_41_41 = e1) % 58.14/23.81 | % 58.14/23.81 | Equations (601) can reduce 59 to: % 58.14/23.81 | (463) ~ (all_0_51_51 = e1) % 58.14/23.81 | % 58.14/23.81 | Simplifying 463 yields: % 58.14/23.81 | (464) ~ (all_0_51_51 = e1) % 58.14/23.81 | % 58.14/23.81 | Equations (601) can reduce 121 to: % 58.14/23.81 | (233) ~ (e1 = e0) % 58.14/23.81 | % 58.14/23.81 | From (601) and (8) follows: % 58.14/23.81 | (15351) op(e1, e3) = all_0_23_23 % 58.14/23.81 | % 58.14/23.81 | From (601) and (57) follows: % 58.14/23.81 | (606) op(e1, e1) = all_0_22_22 % 58.14/23.81 | % 58.14/23.81 | From (601) and (242) follows: % 58.14/23.81 | (2235) op(e1, e3) = e1 % 58.14/23.81 | % 58.14/23.81 | Instantiating formula (29) with e3, e3, all_0_16_16, all_0_41_41 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_41_41, yields: % 58.14/23.81 | (15012) all_0_16_16 = all_0_41_41 % 58.14/23.81 | % 58.14/23.81 | Instantiating formula (29) with e3, e2, all_0_15_15, all_0_42_42 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_42_42, yields: % 58.14/23.81 | (3582) all_0_15_15 = all_0_42_42 % 58.14/23.81 | % 58.14/23.81 | Instantiating formula (29) with e1, e3, e1, all_0_23_23 and discharging atoms op(e1, e3) = all_0_23_23, op(e1, e3) = e1, yields: % 58.14/23.81 | (9657) all_0_23_23 = e1 % 58.14/23.81 | % 58.14/23.81 | Instantiating formula (29) with e1, e1, all_0_22_22, e4 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 58.14/23.81 | (686) all_0_22_22 = e4 % 58.14/23.81 | % 58.14/23.81 | From (15012) and (3526) follows: % 58.14/23.81 | (219) op(e3, e3) = all_0_41_41 % 58.14/23.81 | % 58.14/23.81 | From (3582) and (3527) follows: % 58.14/23.81 | (210) op(e3, e2) = all_0_42_42 % 58.14/23.81 | % 58.14/23.81 | From (9657) and (15351) follows: % 58.14/23.81 | (2235) op(e1, e3) = e1 % 58.14/23.81 | % 58.14/23.81 | From (686) and (606) follows: % 58.14/23.81 | (570) op(e1, e1) = e4 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (7), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (504) all_0_51_51 = e2 % 58.14/23.81 | % 58.14/23.81 | Equations (504) can reduce 61 to: % 58.14/23.81 | (51) ~ (all_0_42_42 = e2) % 58.14/23.81 | % 58.14/23.81 | Equations (504) can reduce 16 to: % 58.14/23.81 | (510) ~ (all_0_56_56 = e2) % 58.14/23.81 | % 58.14/23.81 | Simplifying 510 yields: % 58.14/23.81 | (511) ~ (all_0_56_56 = e2) % 58.14/23.81 | % 58.14/23.81 | Equations (504) can reduce 464 to: % 58.14/23.81 | (122) ~ (e2 = e1) % 58.14/23.81 | % 58.14/23.81 | From (504) and (186) follows: % 58.14/23.81 | (515) op(e1, e2) = e2 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (418), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (660) all_0_51_51 = e3 % 58.14/23.81 | % 58.14/23.81 | Combining equations (660,504) yields a new equation: % 58.14/23.81 | (661) e3 = e2 % 58.14/23.81 | % 58.14/23.81 | Simplifying 661 yields: % 58.14/23.81 | (662) e3 = e2 % 58.14/23.81 | % 58.14/23.81 | Equations (662) can reduce 212 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (664) ~ (all_0_51_51 = e3) % 58.14/23.81 | (665) all_0_53_53 = e3 % 58.14/23.81 | % 58.14/23.81 | Equations (665) can reduce 162 to: % 58.14/23.81 | (2) ~ (all_0_40_40 = e3) % 58.14/23.81 | % 58.14/23.81 | Equations (665) can reduce 220 to: % 58.14/23.81 | (407) ~ (all_0_44_44 = e3) % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (180), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (516) all_0_42_42 = e3 % 58.14/23.81 | % 58.14/23.81 | Equations (516) can reduce 145 to: % 58.14/23.81 | (246) ~ (all_0_39_39 = e3) % 58.14/23.81 | % 58.14/23.81 | Equations (516) can reduce 214 to: % 58.14/23.81 | (1898) ~ (all_0_41_41 = e3) % 58.14/23.81 | % 58.14/23.81 | Equations (516) can reduce 73 to: % 58.14/23.81 | (406) ~ (all_0_44_44 = e3) % 58.14/23.81 | % 58.14/23.81 | Simplifying 406 yields: % 58.14/23.81 | (407) ~ (all_0_44_44 = e3) % 58.14/23.81 | % 58.14/23.81 | Equations (516) can reduce 198 to: % 58.14/23.81 | (2538) ~ (all_0_47_47 = e3) % 58.14/23.81 | % 58.14/23.81 | Simplifying 2538 yields: % 58.14/23.81 | (1091) ~ (all_0_47_47 = e3) % 58.14/23.81 | % 58.14/23.81 | Equations (516) can reduce 51 to: % 58.14/23.81 | (212) ~ (e3 = e2) % 58.14/23.81 | % 58.14/23.81 | Equations (516) can reduce 1380 to: % 58.14/23.81 | (213) ~ (e3 = e1) % 58.14/23.81 | % 58.14/23.81 | From (516) and (226) follows: % 58.14/23.81 | (5629) op(e3, e3) = all_0_7_7 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (377), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (583) all_0_49_49 = e2 % 58.14/23.81 | % 58.14/23.81 | Equations (583) can reduce 200 to: % 58.14/23.81 | (296) ~ (all_0_40_40 = e2) % 58.14/23.81 | % 58.14/23.81 | Equations (583) can reduce 86 to: % 58.14/23.81 | (338) ~ (all_0_47_47 = e2) % 58.14/23.81 | % 58.14/23.81 | From (583) and (66) follows: % 58.14/23.81 | (20781) op(e2, e0) = all_0_21_21 % 58.14/23.81 | % 58.14/23.81 | From (583) and (55) follows: % 58.14/23.81 | (727) op(e2, e0) = e2 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (135), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (545) all_0_46_46 = e1 % 58.14/23.81 | % 58.14/23.81 | Combining equations (1557,545) yields a new equation: % 58.14/23.81 | (454) e3 = e1 % 58.14/23.81 | % 58.14/23.81 | Simplifying 454 yields: % 58.14/23.81 | (455) e3 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (455) can reduce 213 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (549) ~ (all_0_46_46 = e1) % 58.14/23.81 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (112), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (635) all_0_44_44 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (635) can reduce 639 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (639) ~ (all_0_44_44 = e1) % 58.14/23.81 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (105), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (1105) all_0_47_47 = e2 % 58.14/23.81 | % 58.14/23.81 | Equations (1105) can reduce 338 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (338) ~ (all_0_47_47 = e2) % 58.14/23.81 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (550), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (654) all_0_47_47 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (654) can reduce 1091 to: % 58.14/23.81 | (467) ~ (e3 = e1) % 58.14/23.81 | % 58.14/23.81 | Simplifying 467 yields: % 58.14/23.81 | (213) ~ (e3 = e1) % 58.14/23.81 | % 58.14/23.81 | Equations (654) can reduce 338 to: % 58.14/23.81 | (604) ~ (e2 = e1) % 58.14/23.81 | % 58.14/23.81 | Simplifying 604 yields: % 58.14/23.81 | (122) ~ (e2 = e1) % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (640), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (671) all_0_49_49 = e1 % 58.14/23.81 | % 58.14/23.81 | Combining equations (583,671) yields a new equation: % 58.14/23.81 | (616) e2 = e1 % 58.14/23.81 | % 58.14/23.81 | Simplifying 616 yields: % 58.14/23.81 | (617) e2 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (617) can reduce 122 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (1064) ~ (all_0_49_49 = e1) % 58.14/23.81 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (2141), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (1208) all_0_53_53 = e1 % 58.14/23.81 | % 58.14/23.81 | Combining equations (665,1208) yields a new equation: % 58.14/23.81 | (454) e3 = e1 % 58.14/23.81 | % 58.14/23.81 | Simplifying 454 yields: % 58.14/23.81 | (455) e3 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (455) can reduce 213 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (1459) ~ (all_0_53_53 = e1) % 58.14/23.81 | (918) all_0_58_58 = e1 % 58.14/23.81 | % 58.14/23.81 | Equations (918) can reduce 178 to: % 58.14/23.81 | (132) ~ (all_0_40_40 = e1) % 58.14/23.81 | % 58.14/23.81 | Equations (918) can reduce 181 to: % 58.14/23.81 | (639) ~ (all_0_44_44 = e1) % 58.14/23.81 | % 58.14/23.81 | Equations (918) can reduce 3 to: % 58.14/23.81 | (632) ~ (all_0_55_55 = e1) % 58.14/23.81 | % 58.14/23.81 | Equations (918) can reduce 44 to: % 58.14/23.81 | (466) ~ (all_0_56_56 = e1) % 58.14/23.81 | % 58.14/23.81 | Instantiating formula (29) with e3, e3, all_0_7_7, all_0_41_41 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_41_41, yields: % 58.14/23.81 | (20177) all_0_7_7 = all_0_41_41 % 58.14/23.81 | % 58.14/23.81 | Instantiating formula (29) with e2, e0, e2, all_0_21_21 and discharging atoms op(e2, e0) = all_0_21_21, op(e2, e0) = e2, yields: % 58.14/23.81 | (4269) all_0_21_21 = e2 % 58.14/23.81 | % 58.14/23.81 | From (20177) and (5629) follows: % 58.14/23.81 | (219) op(e3, e3) = all_0_41_41 % 58.14/23.81 | % 58.14/23.81 | From (4269) and (20781) follows: % 58.14/23.81 | (727) op(e2, e0) = e2 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (64), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (437) all_0_41_41 = e4 % 58.14/23.81 | % 58.14/23.81 | Equations (437) can reduce 149 to: % 58.14/23.81 | (1903) ~ (all_0_44_44 = e4) % 58.14/23.81 | % 58.14/23.81 | Simplifying 1903 yields: % 58.14/23.81 | (1390) ~ (all_0_44_44 = e4) % 58.14/23.81 | % 58.14/23.81 | Equations (437) can reduce 191 to: % 58.14/23.81 | (1909) ~ (all_0_55_55 = e4) % 58.14/23.81 | % 58.14/23.81 | Simplifying 1909 yields: % 58.14/23.81 | (763) ~ (all_0_55_55 = e4) % 58.14/23.81 | % 58.14/23.81 | From (437) and (219) follows: % 58.14/23.81 | (1913) op(e3, e3) = e4 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (26), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (446) all_0_44_44 = e4 % 58.14/23.81 | % 58.14/23.81 | Equations (446) can reduce 1390 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (1390) ~ (all_0_44_44 = e4) % 58.14/23.81 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (1391), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (1414) all_0_44_44 = e0 % 58.14/23.81 | % 58.14/23.81 | Equations (1414) can reduce 143 to: % 58.14/23.81 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (333), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (480) all_0_39_39 = e0 % 58.14/23.81 | % 58.14/23.81 | Equations (480) can reduce 176 to: % 58.14/23.81 | (1400) ~ (all_0_40_40 = e0) % 58.14/23.81 | % 58.14/23.81 | Simplifying 1400 yields: % 58.14/23.81 | (1401) ~ (all_0_40_40 = e0) % 58.14/23.81 | % 58.14/23.81 | Equations (480) can reduce 246 to: % 58.14/23.81 | (541) ~ (e3 = e0) % 58.14/23.81 | % 58.14/23.81 | Simplifying 541 yields: % 58.14/23.81 | (80) ~ (e3 = e0) % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (125), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (858) all_0_55_55 = e0 % 58.14/23.81 | % 58.14/23.81 | Equations (858) can reduce 763 to: % 58.14/23.81 | (401) ~ (e4 = e0) % 58.14/23.81 | % 58.14/23.81 | Simplifying 401 yields: % 58.14/23.81 | (49) ~ (e4 = e0) % 58.14/23.81 | % 58.14/23.81 | Equations (858) can reduce 632 to: % 58.14/23.81 | (435) ~ (e1 = e0) % 58.14/23.81 | % 58.14/23.81 | Simplifying 435 yields: % 58.14/23.81 | (233) ~ (e1 = e0) % 58.14/23.81 | % 58.14/23.81 | From (858) and (74) follows: % 58.14/23.81 | (752) op(e0, e3) = e0 % 58.14/23.81 | % 58.14/23.81 +-Applying beta-rule and splitting (164), into two cases. % 58.14/23.81 |-Branch one: % 58.14/23.81 | (471) all_0_39_39 = e4 % 58.14/23.81 | % 58.14/23.81 | Combining equations (471,480) yields a new equation: % 58.14/23.81 | (481) e4 = e0 % 58.14/23.81 | % 58.14/23.81 | Simplifying 481 yields: % 58.14/23.81 | (397) e4 = e0 % 58.14/23.81 | % 58.14/23.81 | Equations (397) can reduce 49 to: % 58.14/23.81 | (266) $false % 58.14/23.81 | % 58.14/23.81 |-The branch is then unsatisfiable % 58.14/23.81 |-Branch two: % 58.14/23.81 | (1377) ~ (all_0_39_39 = e4) % 58.14/23.82 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.82 | % 58.14/23.82 +-Applying beta-rule and splitting (150), into two cases. % 58.14/23.82 |-Branch one: % 58.14/23.82 | (1378) all_0_40_40 = e4 % 58.14/23.82 | % 58.14/23.82 | Equations (1378) can reduce 2 to: % 58.14/23.82 | (188) ~ (e4 = e3) % 58.14/23.82 | % 58.14/23.82 | Equations (1378) can reduce 296 to: % 58.14/23.82 | (48) ~ (e4 = e2) % 58.14/23.82 | % 58.14/23.82 | Equations (1378) can reduce 132 to: % 58.14/23.82 | (110) ~ (e4 = e1) % 58.14/23.82 | % 58.14/23.82 +-Applying beta-rule and splitting (2115), into two cases. % 58.14/23.82 |-Branch one: % 58.14/23.82 | (1392) all_0_42_42 = e4 % 58.14/23.82 | % 58.14/23.82 | Combining equations (516,1392) yields a new equation: % 58.14/23.82 | (425) e4 = e3 % 58.14/23.82 | % 58.14/23.82 | Equations (425) can reduce 188 to: % 58.14/23.82 | (266) $false % 58.14/23.82 | % 58.14/23.82 |-The branch is then unsatisfiable % 58.14/23.82 |-Branch two: % 58.14/23.82 | (1890) ~ (all_0_42_42 = e4) % 58.14/23.82 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.82 | % 58.14/23.82 +-Applying beta-rule and splitting (2246), into two cases. % 58.14/23.82 |-Branch one: % 58.14/23.82 | (1790) all_0_47_47 = e4 % 58.14/23.82 | % 58.14/23.82 | Combining equations (654,1790) yields a new equation: % 58.14/23.82 | (630) e4 = e1 % 58.14/23.82 | % 58.14/23.82 | Equations (630) can reduce 110 to: % 58.14/23.82 | (266) $false % 58.14/23.82 | % 58.14/23.82 |-The branch is then unsatisfiable % 58.14/23.82 |-Branch two: % 58.14/23.82 | (252) ~ (all_0_47_47 = e4) % 58.14/23.82 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.14/23.82 | % 58.14/23.82 +-Applying beta-rule and splitting (6548), into two cases. % 58.14/23.82 |-Branch one: % 58.14/23.82 | (1101) all_0_51_51 = e4 % 58.14/23.82 | % 58.14/23.82 | Combining equations (504,1101) yields a new equation: % 58.14/23.82 | (323) e4 = e2 % 58.14/23.82 | % 58.14/23.82 | Equations (323) can reduce 48 to: % 58.14/23.82 | (266) $false % 58.14/23.82 | % 58.14/23.82 |-The branch is then unsatisfiable % 58.14/23.82 |-Branch two: % 58.14/23.82 | (475) ~ (all_0_51_51 = e4) % 58.14/23.82 | (842) all_0_56_56 = e4 % 58.14/23.82 | % 58.14/23.82 | From (842) and (111) follows: % 58.14/23.82 | (2154) op(e0, e2) = e4 % 58.14/23.82 | % 58.14/23.82 +-Applying beta-rule and splitting (56), into two cases. % 58.14/23.82 |-Branch one: % 58.14/23.82 | (696) unit = e2 % 58.14/23.82 | % 58.14/23.82 | From (696) and (209) follows: % 58.14/23.82 | (7585) op(e2, e0) = e0 % 58.14/23.82 | % 58.14/23.82 | From (696) and (28) follows: % 58.14/23.82 | (699) op(e1, e2) = e1 % 58.14/23.82 | % 58.14/23.82 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.14/23.82 | (330) e2 = e0 % 58.14/23.82 | % 58.14/23.82 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.14/23.82 | (617) e2 = e1 % 58.14/23.82 | % 58.14/23.82 | Combining equations (617,330) yields a new equation: % 58.14/23.82 | (546) e1 = e0 % 58.14/23.82 | % 58.14/23.82 | Simplifying 546 yields: % 58.14/23.82 | (431) e1 = e0 % 58.14/23.82 | % 58.14/23.82 | Equations (431) can reduce 233 to: % 58.14/23.82 | (266) $false % 58.14/23.82 | % 58.14/23.82 |-The branch is then unsatisfiable % 58.14/23.82 |-Branch two: % 58.14/23.82 | (707) ~ (unit = e2) % 58.14/23.82 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.14/23.82 | % 58.14/23.82 +-Applying beta-rule and splitting (708), into two cases. % 58.14/23.82 |-Branch one: % 58.14/23.82 | (709) unit = e4 % 58.14/23.82 | % 58.14/23.82 | From (709) and (227) follows: % 58.14/23.82 | (710) op(e4, e4) = e4 % 58.14/23.82 | % 58.14/23.82 | From (709) and (40) follows: % 58.27/23.82 | (711) op(e3, e4) = e3 % 58.27/23.82 | % 58.27/23.82 | From (709) and (32) follows: % 58.27/23.82 | (712) op(e2, e4) = e2 % 58.27/23.82 | % 58.27/23.82 | From (709) and (42) follows: % 58.27/23.82 | (713) op(e0, e4) = e0 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.27/23.82 | (630) e4 = e1 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.27/23.82 | (662) e3 = e2 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.27/23.82 | (323) e4 = e2 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.27/23.82 | (676) e3 = e0 % 58.27/23.82 | % 58.27/23.82 | Combining equations (630,323) yields a new equation: % 58.27/23.82 | (617) e2 = e1 % 58.27/23.82 | % 58.27/23.82 | Combining equations (662,676) yields a new equation: % 58.27/23.82 | (391) e2 = e0 % 58.27/23.82 | % 58.27/23.82 | Simplifying 391 yields: % 58.27/23.82 | (330) e2 = e0 % 58.27/23.82 | % 58.27/23.82 | Combining equations (617,330) yields a new equation: % 58.27/23.82 | (546) e1 = e0 % 58.27/23.82 | % 58.27/23.82 | Simplifying 546 yields: % 58.27/23.82 | (431) e1 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (431) can reduce 233 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (724) ~ (unit = e4) % 58.27/23.82 | (725) unit = e3 | unit = e1 | unit = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (725), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (726) unit = e0 % 58.27/23.82 | % 58.27/23.82 | From (726) and (244) follows: % 58.27/23.82 | (2207) op(e0, e4) = e4 % 58.27/23.82 | % 58.27/23.82 | From (726) and (24) follows: % 58.27/23.82 | (2208) op(e0, e3) = e3 % 58.27/23.82 | % 58.27/23.82 | From (726) and (15) follows: % 58.27/23.82 | (1508) op(e0, e2) = e2 % 58.27/23.82 | % 58.27/23.82 | From (726) and (211) follows: % 58.27/23.82 | (15180) op(e0, e1) = e1 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.27/23.82 | (425) e4 = e3 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 58.27/23.82 | (676) e3 = e0 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.27/23.82 | (323) e4 = e2 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.27/23.82 | (617) e2 = e1 % 58.27/23.82 | % 58.27/23.82 | Combining equations (425,323) yields a new equation: % 58.27/23.82 | (661) e3 = e2 % 58.27/23.82 | % 58.27/23.82 | Simplifying 661 yields: % 58.27/23.82 | (662) e3 = e2 % 58.27/23.82 | % 58.27/23.82 | Combining equations (662,676) yields a new equation: % 58.27/23.82 | (391) e2 = e0 % 58.27/23.82 | % 58.27/23.82 | Simplifying 391 yields: % 58.27/23.82 | (330) e2 = e0 % 58.27/23.82 | % 58.27/23.82 | Combining equations (330,617) yields a new equation: % 58.27/23.82 | (431) e1 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (431) can reduce 233 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (734) ~ (unit = e0) % 58.27/23.82 | (735) unit = e3 | unit = e1 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (735), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (736) unit = e1 % 58.27/23.82 | % 58.27/23.82 | Equations (736) can reduce 734 to: % 58.27/23.82 | (233) ~ (e1 = e0) % 58.27/23.82 | % 58.27/23.82 | From (736) and (244) follows: % 58.27/23.82 | (738) op(e1, e4) = e4 % 58.27/23.82 | % 58.27/23.82 | From (736) and (24) follows: % 58.27/23.82 | (1934) op(e1, e3) = e3 % 58.27/23.82 | % 58.27/23.82 | From (736) and (227) follows: % 58.27/23.82 | (739) op(e4, e1) = e4 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.27/23.82 | (425) e4 = e3 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.27/23.82 | (397) e4 = e0 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.27/23.82 | (455) e3 = e1 % 58.27/23.82 | % 58.27/23.82 | Combining equations (425,397) yields a new equation: % 58.27/23.82 | (675) e3 = e0 % 58.27/23.82 | % 58.27/23.82 | Simplifying 675 yields: % 58.27/23.82 | (676) e3 = e0 % 58.27/23.82 | % 58.27/23.82 | Combining equations (676,455) yields a new equation: % 58.27/23.82 | (431) e1 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (431) can reduce 233 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (748) ~ (unit = e1) % 58.27/23.82 | (749) unit = e3 % 58.27/23.82 | % 58.27/23.82 | Equations (749) can reduce 707 to: % 58.27/23.82 | (212) ~ (e3 = e2) % 58.27/23.82 | % 58.27/23.82 | From (749) and (244) follows: % 58.27/23.82 | (750) op(e3, e4) = e4 % 58.27/23.82 | % 58.27/23.82 | From (749) and (40) follows: % 58.27/23.82 | (3715) op(e3, e3) = e3 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.27/23.82 | (323) e4 = e2 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.27/23.82 | (425) e4 = e3 % 58.27/23.82 | % 58.27/23.82 | Combining equations (323,425) yields a new equation: % 58.27/23.82 | (662) e3 = e2 % 58.27/23.82 | % 58.27/23.82 | Equations (662) can reduce 212 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (447) ~ (all_0_40_40 = e4) % 58.27/23.82 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (316), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (1378) all_0_40_40 = e4 % 58.27/23.82 | % 58.27/23.82 | Equations (1378) can reduce 447 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (447) ~ (all_0_40_40 = e4) % 58.27/23.82 | (485) all_0_40_40 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (485) can reduce 1401 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (803) ~ (all_0_55_55 = e0) % 58.27/23.82 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (150), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (1378) all_0_40_40 = e4 % 58.27/23.82 | % 58.27/23.82 | Equations (1378) can reduce 1401 to: % 58.27/23.82 | (49) ~ (e4 = e0) % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (395), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (794) all_0_41_41 = e0 % 58.27/23.82 | % 58.27/23.82 | Combining equations (794,437) yields a new equation: % 58.27/23.82 | (397) e4 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (397) can reduce 49 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (357) ~ (all_0_41_41 = e0) % 58.27/23.82 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (895), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (538) all_0_46_46 = e0 % 58.27/23.82 | % 58.27/23.82 | Combining equations (1557,538) yields a new equation: % 58.27/23.82 | (675) e3 = e0 % 58.27/23.82 | % 58.27/23.82 | Simplifying 675 yields: % 58.27/23.82 | (676) e3 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (676) can reduce 80 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (831) ~ (all_0_46_46 = e0) % 58.27/23.82 | (858) all_0_55_55 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (858) can reduce 803 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (447) ~ (all_0_40_40 = e4) % 58.27/23.82 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (316), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (1378) all_0_40_40 = e4 % 58.27/23.82 | % 58.27/23.82 | Equations (1378) can reduce 447 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (447) ~ (all_0_40_40 = e4) % 58.27/23.82 | (485) all_0_40_40 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (485) can reduce 1401 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (484) ~ (all_0_39_39 = e0) % 58.27/23.82 | (485) all_0_40_40 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (485) can reduce 1401 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (360) ~ (all_0_44_44 = e0) % 58.27/23.82 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (1417), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (635) all_0_44_44 = e1 % 58.27/23.82 | % 58.27/23.82 | Equations (635) can reduce 639 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (639) ~ (all_0_44_44 = e1) % 58.27/23.82 | (532) all_0_44_44 = e3 % 58.27/23.82 | % 58.27/23.82 | Equations (532) can reduce 407 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (440) ~ (all_0_41_41 = e4) % 58.27/23.82 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (27), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (437) all_0_41_41 = e4 % 58.27/23.82 | % 58.27/23.82 | Equations (437) can reduce 440 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (440) ~ (all_0_41_41 = e4) % 58.27/23.82 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (4049), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (794) all_0_41_41 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (794) can reduce 191 to: % 58.27/23.82 | (4444) ~ (all_0_55_55 = e0) % 58.27/23.82 | % 58.27/23.82 | Simplifying 4444 yields: % 58.27/23.82 | (803) ~ (all_0_55_55 = e0) % 58.27/23.82 | % 58.27/23.82 | Equations (794) can reduce 85 to: % 58.27/23.82 | (365) ~ (e2 = e0) % 58.27/23.82 | % 58.27/23.82 | Simplifying 365 yields: % 58.27/23.82 | (128) ~ (e2 = e0) % 58.27/23.82 | % 58.27/23.82 | Equations (794) can reduce 457 to: % 58.27/23.82 | (435) ~ (e1 = e0) % 58.27/23.82 | % 58.27/23.82 | Simplifying 435 yields: % 58.27/23.82 | (233) ~ (e1 = e0) % 58.27/23.82 | % 58.27/23.82 | From (794) and (219) follows: % 58.27/23.82 | (5573) op(e3, e3) = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (125), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (858) all_0_55_55 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (858) can reduce 803 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (803) ~ (all_0_55_55 = e0) % 58.27/23.82 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (863), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (679) all_0_56_56 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (679) can reduce 511 to: % 58.27/23.82 | (365) ~ (e2 = e0) % 58.27/23.82 | % 58.27/23.82 | Simplifying 365 yields: % 58.27/23.82 | (128) ~ (e2 = e0) % 58.27/23.82 | % 58.27/23.82 | Equations (679) can reduce 466 to: % 58.27/23.82 | (435) ~ (e1 = e0) % 58.27/23.82 | % 58.27/23.82 | Simplifying 435 yields: % 58.27/23.82 | (233) ~ (e1 = e0) % 58.27/23.82 | % 58.27/23.82 | From (679) and (111) follows: % 58.27/23.82 | (1613) op(e0, e2) = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (56), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (696) unit = e2 % 58.27/23.82 | % 58.27/23.82 | From (696) and (209) follows: % 58.27/23.82 | (7585) op(e2, e0) = e0 % 58.27/23.82 | % 58.27/23.82 | From (696) and (28) follows: % 58.27/23.82 | (699) op(e1, e2) = e1 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.27/23.82 | (330) e2 = e0 % 58.27/23.82 | % 58.27/23.82 | Instantiating formula (29) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.27/23.82 | (617) e2 = e1 % 58.27/23.82 | % 58.27/23.82 | Combining equations (617,330) yields a new equation: % 58.27/23.82 | (546) e1 = e0 % 58.27/23.82 | % 58.27/23.82 | Simplifying 546 yields: % 58.27/23.82 | (431) e1 = e0 % 58.27/23.82 | % 58.27/23.82 | Equations (431) can reduce 233 to: % 58.27/23.82 | (266) $false % 58.27/23.82 | % 58.27/23.82 |-The branch is then unsatisfiable % 58.27/23.82 |-Branch two: % 58.27/23.82 | (707) ~ (unit = e2) % 58.27/23.82 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.27/23.82 | % 58.27/23.82 +-Applying beta-rule and splitting (708), into two cases. % 58.27/23.82 |-Branch one: % 58.27/23.82 | (709) unit = e4 % 58.27/23.82 | % 58.27/23.82 | From (709) and (227) follows: % 58.27/23.82 | (710) op(e4, e4) = e4 % 58.27/23.83 | % 58.27/23.83 | From (709) and (40) follows: % 58.27/23.83 | (711) op(e3, e4) = e3 % 58.27/23.83 | % 58.27/23.83 | From (709) and (32) follows: % 58.27/23.83 | (712) op(e2, e4) = e2 % 58.27/23.83 | % 58.27/23.83 | From (709) and (42) follows: % 58.27/23.83 | (713) op(e0, e4) = e0 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.27/23.83 | (630) e4 = e1 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.27/23.83 | (662) e3 = e2 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.27/23.83 | (323) e4 = e2 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.27/23.83 | (676) e3 = e0 % 58.27/23.83 | % 58.27/23.83 | Combining equations (323,630) yields a new equation: % 58.27/23.83 | (616) e2 = e1 % 58.27/23.83 | % 58.27/23.83 | Simplifying 616 yields: % 58.27/23.83 | (617) e2 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (662,676) yields a new equation: % 58.27/23.83 | (391) e2 = e0 % 58.27/23.83 | % 58.27/23.83 | Simplifying 391 yields: % 58.27/23.83 | (330) e2 = e0 % 58.27/23.83 | % 58.27/23.83 | Combining equations (330,617) yields a new equation: % 58.27/23.83 | (431) e1 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (431) can reduce 233 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (724) ~ (unit = e4) % 58.27/23.83 | (725) unit = e3 | unit = e1 | unit = e0 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (725), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (726) unit = e0 % 58.27/23.83 | % 58.27/23.83 | From (726) and (15) follows: % 58.27/23.83 | (1508) op(e0, e2) = e2 % 58.27/23.83 | % 58.27/23.83 | From (726) and (211) follows: % 58.27/23.83 | (15180) op(e0, e1) = e1 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 58.27/23.83 | (330) e2 = e0 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.27/23.83 | (617) e2 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (330,617) yields a new equation: % 58.27/23.83 | (431) e1 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (431) can reduce 233 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (734) ~ (unit = e0) % 58.27/23.83 | (735) unit = e3 | unit = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (735), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (736) unit = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (736) can reduce 734 to: % 58.27/23.83 | (233) ~ (e1 = e0) % 58.27/23.83 | % 58.27/23.83 | From (736) and (244) follows: % 58.27/23.83 | (738) op(e1, e4) = e4 % 58.27/23.83 | % 58.27/23.83 | From (736) and (24) follows: % 58.27/23.83 | (1934) op(e1, e3) = e3 % 58.27/23.83 | % 58.27/23.83 | From (736) and (227) follows: % 58.27/23.83 | (739) op(e4, e1) = e4 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.27/23.83 | (425) e4 = e3 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.27/23.83 | (397) e4 = e0 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.27/23.83 | (455) e3 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (425,397) yields a new equation: % 58.27/23.83 | (675) e3 = e0 % 58.27/23.83 | % 58.27/23.83 | Simplifying 675 yields: % 58.27/23.83 | (676) e3 = e0 % 58.27/23.83 | % 58.27/23.83 | Combining equations (676,455) yields a new equation: % 58.27/23.83 | (431) e1 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (431) can reduce 233 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (748) ~ (unit = e1) % 58.27/23.83 | (749) unit = e3 % 58.27/23.83 | % 58.27/23.83 | From (749) and (40) follows: % 58.27/23.83 | (3715) op(e3, e3) = e3 % 58.27/23.83 | % 58.27/23.83 | From (749) and (32) follows: % 58.27/23.83 | (5793) op(e2, e3) = e2 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 58.27/23.83 | (676) e3 = e0 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.27/23.83 | (662) e3 = e2 % 58.27/23.83 | % 58.27/23.83 | Combining equations (676,662) yields a new equation: % 58.27/23.83 | (330) e2 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (330) can reduce 128 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (828) ~ (all_0_56_56 = e0) % 58.27/23.83 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (924), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (875) all_0_57_57 = e0 % 58.27/23.83 | % 58.27/23.83 | Combining equations (442,875) yields a new equation: % 58.27/23.83 | (391) e2 = e0 % 58.27/23.83 | % 58.27/23.83 | Simplifying 391 yields: % 58.27/23.83 | (330) e2 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (330) can reduce 128 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (364) ~ (all_0_57_57 = e0) % 58.27/23.83 | (914) all_0_58_58 = e0 % 58.27/23.83 | % 58.27/23.83 | Combining equations (914,918) yields a new equation: % 58.27/23.83 | (431) e1 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (431) can reduce 233 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (357) ~ (all_0_41_41 = e0) % 58.27/23.83 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (4053), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (453) all_0_41_41 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (453) can reduce 457 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (457) ~ (all_0_41_41 = e1) % 58.27/23.83 | (403) all_0_41_41 = e3 % 58.27/23.83 | % 58.27/23.83 | Equations (403) can reduce 1898 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (462) ~ (all_0_47_47 = e1) % 58.27/23.83 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (659), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (615) all_0_48_48 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (1279,615) yields a new equation: % 58.27/23.83 | (431) e1 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (431) can reduce 233 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (619) ~ (all_0_48_48 = e1) % 58.27/23.83 | (671) all_0_49_49 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (671,583) yields a new equation: % 58.27/23.83 | (617) e2 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (617) can reduce 122 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (340) ~ (all_0_49_49 = e2) % 58.27/23.83 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (614), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (607) all_0_53_53 = e2 % 58.27/23.83 | % 58.27/23.83 | Combining equations (607,665) yields a new equation: % 58.27/23.83 | (662) e3 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (662) can reduce 212 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (509) ~ (all_0_53_53 = e2) % 58.27/23.83 | (624) all_0_58_58 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (624) can reduce 908 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (405) ~ (all_0_42_42 = e3) % 58.27/23.83 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (1899), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (516) all_0_42_42 = e3 % 58.27/23.83 | % 58.27/23.83 | Equations (516) can reduce 405 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (405) ~ (all_0_42_42 = e3) % 58.27/23.83 | (532) all_0_44_44 = e3 % 58.27/23.83 | % 58.27/23.83 | Equations (532) can reduce 407 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (1099) ~ (all_0_51_51 = e2) % 58.27/23.83 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (381), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (504) all_0_51_51 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (504) can reduce 1099 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (1099) ~ (all_0_51_51 = e2) % 58.27/23.83 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (1152), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (352) all_0_52_52 = e2 % 58.27/23.83 | % 58.27/23.83 | Combining equations (565,352) yields a new equation: % 58.27/23.83 | (322) e4 = e2 % 58.27/23.83 | % 58.27/23.83 | Simplifying 322 yields: % 58.27/23.83 | (323) e4 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (323) can reduce 48 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (342) ~ (all_0_52_52 = e2) % 58.27/23.83 | (607) all_0_53_53 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (607) can reduce 65 to: % 58.27/23.83 | (340) ~ (all_0_49_49 = e2) % 58.27/23.83 | % 58.27/23.83 | Equations (607) can reduce 10 to: % 58.27/23.83 | (1186) ~ (all_0_58_58 = e2) % 58.27/23.83 | % 58.27/23.83 | Simplifying 1186 yields: % 58.27/23.83 | (908) ~ (all_0_58_58 = e2) % 58.27/23.83 | % 58.27/23.83 | Equations (607) can reduce 247 to: % 58.27/23.83 | (128) ~ (e2 = e0) % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (10171), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (1105) all_0_47_47 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (1105) can reduce 79 to: % 58.27/23.83 | (294) ~ (all_0_39_39 = e2) % 58.27/23.83 | % 58.27/23.83 | Equations (1105) can reduce 86 to: % 58.27/23.83 | (339) ~ (all_0_49_49 = e2) % 58.27/23.83 | % 58.27/23.83 | Simplifying 339 yields: % 58.27/23.83 | (340) ~ (all_0_49_49 = e2) % 58.27/23.83 | % 58.27/23.83 | Equations (1105) can reduce 91 to: % 58.27/23.83 | (510) ~ (all_0_56_56 = e2) % 58.27/23.83 | % 58.27/23.83 | Simplifying 510 yields: % 58.27/23.83 | (511) ~ (all_0_56_56 = e2) % 58.27/23.83 | % 58.27/23.83 | Equations (1105) can reduce 252 to: % 58.27/23.83 | (327) ~ (e4 = e2) % 58.27/23.83 | % 58.27/23.83 | Simplifying 327 yields: % 58.27/23.83 | (48) ~ (e4 = e2) % 58.27/23.83 | % 58.27/23.83 | Equations (1105) can reduce 1091 to: % 58.27/23.83 | (626) ~ (e3 = e2) % 58.27/23.83 | % 58.27/23.83 | Simplifying 626 yields: % 58.27/23.83 | (212) ~ (e3 = e2) % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (54), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (583) all_0_49_49 = e2 % 58.27/23.83 | % 58.27/23.83 | Equations (583) can reduce 340 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (340) ~ (all_0_49_49 = e2) % 58.27/23.83 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (418), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (660) all_0_51_51 = e3 % 58.27/23.83 | % 58.27/23.83 | Equations (660) can reduce 139 to: % 58.27/23.83 | (246) ~ (all_0_39_39 = e3) % 58.27/23.83 | % 58.27/23.83 | Equations (660) can reduce 61 to: % 58.27/23.83 | (405) ~ (all_0_42_42 = e3) % 58.27/23.83 | % 58.27/23.83 | Equations (660) can reduce 475 to: % 58.27/23.83 | (277) ~ (e4 = e3) % 58.27/23.83 | % 58.27/23.83 | Simplifying 277 yields: % 58.27/23.83 | (188) ~ (e4 = e3) % 58.27/23.83 | % 58.27/23.83 | From (660) and (177) follows: % 58.27/23.83 | (9464) op(e3, e2) = all_0_25_25 % 58.27/23.83 | % 58.27/23.83 | From (660) and (186) follows: % 58.27/23.83 | (1552) op(e1, e2) = e3 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (189), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (532) all_0_44_44 = e3 % 58.27/23.83 | % 58.27/23.83 | Equations (532) can reduce 143 to: % 58.27/23.83 | (2) ~ (all_0_40_40 = e3) % 58.27/23.83 | % 58.27/23.83 | Equations (532) can reduce 149 to: % 58.27/23.83 | (1898) ~ (all_0_41_41 = e3) % 58.27/23.83 | % 58.27/23.83 | Equations (532) can reduce 9 to: % 58.27/23.83 | (524) ~ (all_0_49_49 = e3) % 58.27/23.83 | % 58.27/23.83 | Simplifying 524 yields: % 58.27/23.83 | (525) ~ (all_0_49_49 = e3) % 58.27/23.83 | % 58.27/23.83 | Equations (532) can reduce 181 to: % 58.27/23.83 | (275) ~ (all_0_58_58 = e3) % 58.27/23.83 | % 58.27/23.83 | Simplifying 275 yields: % 58.27/23.83 | (276) ~ (all_0_58_58 = e3) % 58.27/23.83 | % 58.27/23.83 | From (532) and (204) follows: % 58.27/23.83 | (15591) op(e3, e3) = all_0_11_11 % 58.27/23.83 | % 58.27/23.83 | From (532) and (70) follows: % 58.27/23.83 | (1954) op(e3, e0) = all_0_12_12 % 58.27/23.83 | % 58.27/23.83 | From (532) and (138) follows: % 58.27/23.83 | (1639) op(e3, e0) = e3 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (586), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (974) all_0_49_49 = e4 % 58.27/23.83 | % 58.27/23.83 | Equations (974) can reduce 256 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (256) ~ (all_0_49_49 = e4) % 58.27/23.83 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (977), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (978) all_0_49_49 = e0 % 58.27/23.83 | % 58.27/23.83 | Equations (978) can reduce 487 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (487) ~ (all_0_49_49 = e0) % 58.27/23.83 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (981), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (671) all_0_49_49 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (671) can reduce 200 to: % 58.27/23.83 | (132) ~ (all_0_40_40 = e1) % 58.27/23.83 | % 58.27/23.83 | Equations (671) can reduce 256 to: % 58.27/23.83 | (602) ~ (e4 = e1) % 58.27/23.83 | % 58.27/23.83 | Simplifying 602 yields: % 58.27/23.83 | (110) ~ (e4 = e1) % 58.27/23.83 | % 58.27/23.83 | Equations (671) can reduce 525 to: % 58.27/23.83 | (467) ~ (e3 = e1) % 58.27/23.83 | % 58.27/23.83 | Simplifying 467 yields: % 58.27/23.83 | (213) ~ (e3 = e1) % 58.27/23.83 | % 58.27/23.83 | Equations (671) can reduce 340 to: % 58.27/23.83 | (604) ~ (e2 = e1) % 58.27/23.83 | % 58.27/23.83 | Simplifying 604 yields: % 58.27/23.83 | (122) ~ (e2 = e1) % 58.27/23.83 | % 58.27/23.83 | From (671) and (129) follows: % 58.27/23.83 | (672) op(e1, e2) = all_0_20_20 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (131), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (459) all_0_42_42 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (459) can reduce 1380 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (1380) ~ (all_0_42_42 = e1) % 58.27/23.83 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (3259), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (654) all_0_47_47 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (1105,654) yields a new equation: % 58.27/23.83 | (616) e2 = e1 % 58.27/23.83 | % 58.27/23.83 | Simplifying 616 yields: % 58.27/23.83 | (617) e2 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (617) can reduce 122 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (462) ~ (all_0_47_47 = e1) % 58.27/23.83 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 58.27/23.83 | % 58.27/23.83 +-Applying beta-rule and splitting (3264), into two cases. % 58.27/23.83 |-Branch one: % 58.27/23.83 | (1109) all_0_51_51 = e1 % 58.27/23.83 | % 58.27/23.83 | Combining equations (660,1109) yields a new equation: % 58.27/23.83 | (454) e3 = e1 % 58.27/23.83 | % 58.27/23.83 | Simplifying 454 yields: % 58.27/23.83 | (455) e3 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (455) can reduce 213 to: % 58.27/23.83 | (266) $false % 58.27/23.83 | % 58.27/23.83 |-The branch is then unsatisfiable % 58.27/23.83 |-Branch two: % 58.27/23.83 | (464) ~ (all_0_51_51 = e1) % 58.27/23.83 | (1569) all_0_56_56 = e1 % 58.27/23.83 | % 58.27/23.83 | Equations (1569) can reduce 154 to: % 58.27/23.83 | (151) ~ (all_0_39_39 = e1) % 58.27/23.83 | % 58.27/23.83 | Equations (1569) can reduce 153 to: % 58.27/23.83 | (632) ~ (all_0_55_55 = e1) % 58.27/23.83 | % 58.27/23.83 | Equations (1569) can reduce 44 to: % 58.27/23.83 | (879) ~ (all_0_58_58 = e1) % 58.27/23.83 | % 58.27/23.83 | Simplifying 879 yields: % 58.27/23.83 | (880) ~ (all_0_58_58 = e1) % 58.27/23.83 | % 58.27/23.83 | Equations (1569) can reduce 511 to: % 58.27/23.83 | (604) ~ (e2 = e1) % 58.27/23.83 | % 58.27/23.83 | Simplifying 604 yields: % 58.27/23.83 | (122) ~ (e2 = e1) % 58.27/23.83 | % 58.27/23.83 | From (1569) and (87) follows: % 58.27/23.83 | (5145) op(e1, e2) = all_0_34_34 % 58.27/23.83 | % 58.27/23.83 | Instantiating formula (29) with e3, e3, all_0_11_11, all_0_41_41 and discharging atoms op(e3, e3) = all_0_11_11, op(e3, e3) = all_0_41_41, yields: % 58.27/23.84 | (20801) all_0_11_11 = all_0_41_41 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e2, all_0_25_25, all_0_42_42 and discharging atoms op(e3, e2) = all_0_25_25, op(e3, e2) = all_0_42_42, yields: % 58.27/23.84 | (9479) all_0_25_25 = all_0_42_42 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e0, e3, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = e3, yields: % 58.27/23.84 | (2156) all_0_12_12 = e3 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e1, e2, all_0_34_34, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = all_0_34_34, yields: % 58.27/23.84 | (5157) all_0_20_20 = all_0_34_34 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e1, e2, e3, all_0_20_20 and discharging atoms op(e1, e2) = all_0_20_20, op(e1, e2) = e3, yields: % 58.27/23.84 | (4837) all_0_20_20 = e3 % 58.27/23.84 | % 58.27/23.84 | Combining equations (5157,4837) yields a new equation: % 58.27/23.84 | (21716) all_0_34_34 = e3 % 58.27/23.84 | % 58.27/23.84 | Simplifying 21716 yields: % 58.27/23.84 | (4264) all_0_34_34 = e3 % 58.27/23.84 | % 58.27/23.84 | From (20801) and (15591) follows: % 58.27/23.84 | (219) op(e3, e3) = all_0_41_41 % 58.27/23.84 | % 58.27/23.84 | From (9479) and (9464) follows: % 58.27/23.84 | (210) op(e3, e2) = all_0_42_42 % 58.27/23.84 | % 58.27/23.84 | From (2156) and (1954) follows: % 58.27/23.84 | (1639) op(e3, e0) = e3 % 58.27/23.84 | % 58.27/23.84 | From (4264) and (5145) follows: % 58.27/23.84 | (1552) op(e1, e2) = e3 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (27), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (437) all_0_41_41 = e4 % 58.27/23.84 | % 58.27/23.84 | Equations (437) can reduce 214 to: % 58.27/23.84 | (1901) ~ (all_0_42_42 = e4) % 58.27/23.84 | % 58.27/23.84 | Simplifying 1901 yields: % 58.27/23.84 | (1890) ~ (all_0_42_42 = e4) % 58.27/23.84 | % 58.27/23.84 | From (437) and (219) follows: % 58.27/23.84 | (1913) op(e3, e3) = e4 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (165), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (794) all_0_41_41 = e0 % 58.27/23.84 | % 58.27/23.84 | Combining equations (437,794) yields a new equation: % 58.27/23.84 | (481) e4 = e0 % 58.27/23.84 | % 58.27/23.84 | Simplifying 481 yields: % 58.27/23.84 | (397) e4 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (397) can reduce 49 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (357) ~ (all_0_41_41 = e0) % 58.27/23.84 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (174), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (386) all_0_55_55 = e2 % 58.27/23.84 | % 58.27/23.84 | Equations (386) can reduce 304 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (304) ~ (all_0_55_55 = e2) % 58.27/23.84 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (6761), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (559) all_0_42_42 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (559) can reduce 145 to: % 58.27/23.84 | (484) ~ (all_0_39_39 = e0) % 58.27/23.84 | % 58.27/23.84 | Equations (559) can reduce 1890 to: % 58.27/23.84 | (401) ~ (e4 = e0) % 58.27/23.84 | % 58.27/23.84 | Simplifying 401 yields: % 58.27/23.84 | (49) ~ (e4 = e0) % 58.27/23.84 | % 58.27/23.84 | From (559) and (210) follows: % 58.27/23.84 | (20848) op(e3, e2) = e0 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (395), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (794) all_0_41_41 = e0 % 58.27/23.84 | % 58.27/23.84 | Combining equations (437,794) yields a new equation: % 58.27/23.84 | (481) e4 = e0 % 58.27/23.84 | % 58.27/23.84 | Simplifying 481 yields: % 58.27/23.84 | (397) e4 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (397) can reduce 49 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (357) ~ (all_0_41_41 = e0) % 58.27/23.84 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (333), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (480) all_0_39_39 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (480) can reduce 484 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (484) ~ (all_0_39_39 = e0) % 58.27/23.84 | (485) all_0_40_40 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (485) can reduce 176 to: % 58.27/23.84 | (484) ~ (all_0_39_39 = e0) % 58.27/23.84 | % 58.27/23.84 | Equations (485) can reduce 2 to: % 58.27/23.84 | (541) ~ (e3 = e0) % 58.27/23.84 | % 58.27/23.84 | Simplifying 541 yields: % 58.27/23.84 | (80) ~ (e3 = e0) % 58.27/23.84 | % 58.27/23.84 | From (485) and (34) follows: % 58.27/23.84 | (494) op(e0, e4) = all_0_4_4 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (125), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (858) all_0_55_55 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (858) can reduce 304 to: % 58.27/23.84 | (365) ~ (e2 = e0) % 58.27/23.84 | % 58.27/23.84 | Simplifying 365 yields: % 58.27/23.84 | (128) ~ (e2 = e0) % 58.27/23.84 | % 58.27/23.84 | Equations (858) can reduce 632 to: % 58.27/23.84 | (435) ~ (e1 = e0) % 58.27/23.84 | % 58.27/23.84 | Simplifying 435 yields: % 58.27/23.84 | (233) ~ (e1 = e0) % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (164), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (471) all_0_39_39 = e4 % 58.27/23.84 | % 58.27/23.84 | From (471) and (182) follows: % 58.27/23.84 | (479) op(e4, e4) = all_0_2_2 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e4, e4, all_0_2_2, e1 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e1, yields: % 58.27/23.84 | (496) all_0_2_2 = e1 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 58.27/23.84 | (498) all_0_4_4 = e3 % 58.27/23.84 | % 58.27/23.84 | From (496) and (479) follows: % 58.27/23.84 | (41) op(e4, e4) = e1 % 58.27/23.84 | % 58.27/23.84 | From (498) and (494) follows: % 58.27/23.84 | (283) op(e0, e4) = e3 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (56), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (696) unit = e2 % 58.27/23.84 | % 58.27/23.84 | From (696) and (40) follows: % 58.27/23.84 | (4285) op(e3, e2) = e3 % 58.27/23.84 | % 58.27/23.84 | From (696) and (28) follows: % 58.27/23.84 | (699) op(e1, e2) = e1 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e2, e3, e0 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e0, yields: % 58.27/23.84 | (676) e3 = e0 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.27/23.84 | (455) e3 = e1 % 58.27/23.84 | % 58.27/23.84 | Combining equations (676,455) yields a new equation: % 58.27/23.84 | (431) e1 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (431) can reduce 233 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (707) ~ (unit = e2) % 58.27/23.84 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (708), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (709) unit = e4 % 58.27/23.84 | % 58.27/23.84 | From (709) and (227) follows: % 58.27/23.84 | (710) op(e4, e4) = e4 % 58.27/23.84 | % 58.27/23.84 | From (709) and (40) follows: % 58.27/23.84 | (711) op(e3, e4) = e3 % 58.27/23.84 | % 58.27/23.84 | From (709) and (32) follows: % 58.27/23.84 | (712) op(e2, e4) = e2 % 58.27/23.84 | % 58.27/23.84 | From (709) and (42) follows: % 58.27/23.84 | (713) op(e0, e4) = e0 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.27/23.84 | (630) e4 = e1 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.27/23.84 | (662) e3 = e2 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.27/23.84 | (323) e4 = e2 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.27/23.84 | (676) e3 = e0 % 58.27/23.84 | % 58.27/23.84 | Combining equations (323,630) yields a new equation: % 58.27/23.84 | (616) e2 = e1 % 58.27/23.84 | % 58.27/23.84 | Simplifying 616 yields: % 58.27/23.84 | (617) e2 = e1 % 58.27/23.84 | % 58.27/23.84 | Combining equations (662,676) yields a new equation: % 58.27/23.84 | (391) e2 = e0 % 58.27/23.84 | % 58.27/23.84 | Simplifying 391 yields: % 58.27/23.84 | (330) e2 = e0 % 58.27/23.84 | % 58.27/23.84 | Combining equations (330,617) yields a new equation: % 58.27/23.84 | (431) e1 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (431) can reduce 233 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (724) ~ (unit = e4) % 58.27/23.84 | (725) unit = e3 | unit = e1 | unit = e0 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (725), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (726) unit = e0 % 58.27/23.84 | % 58.27/23.84 | From (726) and (211) follows: % 58.27/23.84 | (15180) op(e0, e1) = e1 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.27/23.84 | (617) e2 = e1 % 58.27/23.84 | % 58.27/23.84 | Equations (617) can reduce 122 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (734) ~ (unit = e0) % 58.27/23.84 | (735) unit = e3 | unit = e1 % 58.27/23.84 | % 58.27/23.84 +-Applying beta-rule and splitting (735), into two cases. % 58.27/23.84 |-Branch one: % 58.27/23.84 | (736) unit = e1 % 58.27/23.84 | % 58.27/23.84 | Equations (736) can reduce 734 to: % 58.27/23.84 | (233) ~ (e1 = e0) % 58.27/23.84 | % 58.27/23.84 | From (736) and (15) follows: % 58.27/23.84 | (515) op(e1, e2) = e2 % 58.27/23.84 | % 58.27/23.84 | From (736) and (227) follows: % 58.27/23.84 | (739) op(e4, e1) = e4 % 58.27/23.84 | % 58.27/23.84 | From (736) and (28) follows: % 58.27/23.84 | (740) op(e1, e1) = e1 % 58.27/23.84 | % 58.27/23.84 | From (736) and (42) follows: % 58.27/23.84 | (3221) op(e0, e1) = e0 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.27/23.84 | (425) e4 = e3 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.27/23.84 | (662) e3 = e2 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.27/23.84 | (630) e4 = e1 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 58.27/23.84 | (330) e2 = e0 % 58.27/23.84 | % 58.27/23.84 | Combining equations (425,630) yields a new equation: % 58.27/23.84 | (454) e3 = e1 % 58.27/23.84 | % 58.27/23.84 | Simplifying 454 yields: % 58.27/23.84 | (455) e3 = e1 % 58.27/23.84 | % 58.27/23.84 | Combining equations (662,455) yields a new equation: % 58.27/23.84 | (616) e2 = e1 % 58.27/23.84 | % 58.27/23.84 | Simplifying 616 yields: % 58.27/23.84 | (617) e2 = e1 % 58.27/23.84 | % 58.27/23.84 | Combining equations (617,330) yields a new equation: % 58.27/23.84 | (546) e1 = e0 % 58.27/23.84 | % 58.27/23.84 | Simplifying 546 yields: % 58.27/23.84 | (431) e1 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (431) can reduce 233 to: % 58.27/23.84 | (266) $false % 58.27/23.84 | % 58.27/23.84 |-The branch is then unsatisfiable % 58.27/23.84 |-Branch two: % 58.27/23.84 | (748) ~ (unit = e1) % 58.27/23.84 | (749) unit = e3 % 58.27/23.84 | % 58.27/23.84 | From (749) and (244) follows: % 58.27/23.84 | (750) op(e3, e4) = e4 % 58.27/23.84 | % 58.27/23.84 | From (749) and (209) follows: % 58.27/23.84 | (1667) op(e3, e0) = e0 % 58.27/23.84 | % 58.27/23.84 | From (749) and (40) follows: % 58.27/23.84 | (3715) op(e3, e3) = e3 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.27/23.84 | (323) e4 = e2 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.27/23.84 | (425) e4 = e3 % 58.27/23.84 | % 58.27/23.84 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.27/23.84 | (676) e3 = e0 % 58.27/23.84 | % 58.27/23.84 | Combining equations (323,425) yields a new equation: % 58.27/23.84 | (662) e3 = e2 % 58.27/23.84 | % 58.27/23.84 | Combining equations (676,662) yields a new equation: % 58.27/23.84 | (330) e2 = e0 % 58.27/23.84 | % 58.27/23.84 | Equations (330) can reduce 128 to: % 58.27/23.84 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (1377) ~ (all_0_39_39 = e4) % 58.27/23.85 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (320), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (471) all_0_39_39 = e4 % 58.27/23.85 | % 58.27/23.85 | Equations (471) can reduce 1377 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (1377) ~ (all_0_39_39 = e4) % 58.27/23.85 | (480) all_0_39_39 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 484 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (803) ~ (all_0_55_55 = e0) % 58.27/23.85 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (895), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (538) all_0_46_46 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (538,1557) yields a new equation: % 58.27/23.85 | (676) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (676) can reduce 80 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (831) ~ (all_0_46_46 = e0) % 58.27/23.85 | (858) all_0_55_55 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (858) can reduce 803 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (358) ~ (all_0_42_42 = e0) % 58.27/23.85 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (104), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (480) all_0_39_39 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 176 to: % 58.27/23.85 | (1400) ~ (all_0_40_40 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 1400 yields: % 58.27/23.85 | (1401) ~ (all_0_40_40 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 246 to: % 58.27/23.85 | (541) ~ (e3 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 541 yields: % 58.27/23.85 | (80) ~ (e3 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 151 to: % 58.27/23.85 | (435) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 435 yields: % 58.27/23.85 | (233) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (75), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (485) all_0_40_40 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (485) can reduce 1401 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (1401) ~ (all_0_40_40 = e0) % 58.27/23.85 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (1748), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (1414) all_0_44_44 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (532,1414) yields a new equation: % 58.27/23.85 | (675) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 675 yields: % 58.27/23.85 | (676) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (676) can reduce 80 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (360) ~ (all_0_44_44 = e0) % 58.27/23.85 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (1760), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (978) all_0_49_49 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (978,671) yields a new equation: % 58.27/23.85 | (431) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (431) can reduce 233 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (487) ~ (all_0_49_49 = e0) % 58.27/23.85 | (914) all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (914) can reduce 276 to: % 58.27/23.85 | (541) ~ (e3 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 541 yields: % 58.27/23.85 | (80) ~ (e3 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (914) can reduce 880 to: % 58.27/23.85 | (435) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 435 yields: % 58.27/23.85 | (233) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (6766), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (356) all_0_43_43 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (430,356) yields a new equation: % 58.27/23.85 | (546) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 546 yields: % 58.27/23.85 | (431) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (431) can reduce 233 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (5470) ~ (all_0_43_43 = e0) % 58.27/23.85 | (1414) all_0_44_44 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (532,1414) yields a new equation: % 58.27/23.85 | (675) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 675 yields: % 58.27/23.85 | (676) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (676) can reduce 80 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (484) ~ (all_0_39_39 = e0) % 58.27/23.85 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (333), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (480) all_0_39_39 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 484 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (484) ~ (all_0_39_39 = e0) % 58.27/23.85 | (485) all_0_40_40 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (485) can reduce 2 to: % 58.27/23.85 | (541) ~ (e3 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 541 yields: % 58.27/23.85 | (80) ~ (e3 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (485) can reduce 132 to: % 58.27/23.85 | (435) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 435 yields: % 58.27/23.85 | (233) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (6766), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (356) all_0_43_43 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (430,356) yields a new equation: % 58.27/23.85 | (546) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 546 yields: % 58.27/23.85 | (431) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (431) can reduce 233 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (5470) ~ (all_0_43_43 = e0) % 58.27/23.85 | (1414) all_0_44_44 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (532,1414) yields a new equation: % 58.27/23.85 | (675) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 675 yields: % 58.27/23.85 | (676) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (676) can reduce 80 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (440) ~ (all_0_41_41 = e4) % 58.27/23.85 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (64), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (437) all_0_41_41 = e4 % 58.27/23.85 | % 58.27/23.85 | Equations (437) can reduce 440 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (440) ~ (all_0_41_41 = e4) % 58.27/23.85 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (4049), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (794) all_0_41_41 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (794) can reduce 191 to: % 58.27/23.85 | (4444) ~ (all_0_55_55 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 4444 yields: % 58.27/23.85 | (803) ~ (all_0_55_55 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (794) can reduce 440 to: % 58.27/23.85 | (401) ~ (e4 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 401 yields: % 58.27/23.85 | (49) ~ (e4 = e0) % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (104), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (480) all_0_39_39 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 176 to: % 58.27/23.85 | (1400) ~ (all_0_40_40 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 1400 yields: % 58.27/23.85 | (1401) ~ (all_0_40_40 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 294 to: % 58.27/23.85 | (365) ~ (e2 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 365 yields: % 58.27/23.85 | (128) ~ (e2 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (480) can reduce 151 to: % 58.27/23.85 | (435) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 435 yields: % 58.27/23.85 | (233) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | From (480) and (182) follows: % 58.27/23.85 | (1412) op(e0, e4) = all_0_2_2 % 58.27/23.85 | % 58.27/23.85 | From (480) and (14) follows: % 58.27/23.85 | (4090) op(e4, e2) = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (75), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (485) all_0_40_40 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (485) can reduce 1401 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (1401) ~ (all_0_40_40 = e0) % 58.27/23.85 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (152), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (1392) all_0_42_42 = e4 % 58.27/23.85 | % 58.27/23.85 | From (1392) and (225) follows: % 58.27/23.85 | (4073) op(e4, e2) = all_0_8_8 % 58.27/23.85 | % 58.27/23.85 | From (1392) and (210) follows: % 58.27/23.85 | (4074) op(e3, e2) = e4 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (125), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (858) all_0_55_55 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (858) can reduce 803 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (803) ~ (all_0_55_55 = e0) % 58.27/23.85 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (316), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (1378) all_0_40_40 = e4 % 58.27/23.85 | % 58.27/23.85 | From (1378) and (34) follows: % 58.27/23.85 | (1455) op(e4, e4) = all_0_4_4 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (108), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (624) all_0_58_58 = e2 % 58.27/23.85 | % 58.27/23.85 | Equations (624) can reduce 908 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (908) ~ (all_0_58_58 = e2) % 58.27/23.85 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (863), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (679) all_0_56_56 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (1569,679) yields a new equation: % 58.27/23.85 | (546) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 546 yields: % 58.27/23.85 | (431) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (431) can reduce 233 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (828) ~ (all_0_56_56 = e0) % 58.27/23.85 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (924), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (875) all_0_57_57 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (875,442) yields a new equation: % 58.27/23.85 | (330) e2 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (330) can reduce 128 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (364) ~ (all_0_57_57 = e0) % 58.27/23.85 | (914) all_0_58_58 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (914) can reduce 908 to: % 58.27/23.85 | (365) ~ (e2 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 365 yields: % 58.27/23.85 | (128) ~ (e2 = e0) % 58.27/23.85 | % 58.27/23.85 | Equations (914) can reduce 880 to: % 58.27/23.85 | (435) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | Simplifying 435 yields: % 58.27/23.85 | (233) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e4, e4, all_0_4_4, e1 and discharging atoms op(e4, e4) = all_0_4_4, op(e4, e4) = e1, yields: % 58.27/23.85 | (1587) all_0_4_4 = e1 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e4, e2, e0, all_0_8_8 and discharging atoms op(e4, e2) = all_0_8_8, op(e4, e2) = e0, yields: % 58.27/23.85 | (4262) all_0_8_8 = e0 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e0, e4, all_0_2_2, e3 and discharging atoms op(e0, e4) = all_0_2_2, op(e0, e4) = e3, yields: % 58.27/23.85 | (1595) all_0_2_2 = e3 % 58.27/23.85 | % 58.27/23.85 | From (1587) and (1455) follows: % 58.27/23.85 | (41) op(e4, e4) = e1 % 58.27/23.85 | % 58.27/23.85 | From (4262) and (4073) follows: % 58.27/23.85 | (4090) op(e4, e2) = e0 % 58.27/23.85 | % 58.27/23.85 | From (1595) and (1412) follows: % 58.27/23.85 | (283) op(e0, e4) = e3 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (56), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (696) unit = e2 % 58.27/23.85 | % 58.27/23.85 | From (696) and (227) follows: % 58.27/23.85 | (4284) op(e4, e2) = e4 % 58.27/23.85 | % 58.27/23.85 | From (696) and (40) follows: % 58.27/23.85 | (4285) op(e3, e2) = e3 % 58.27/23.85 | % 58.27/23.85 | From (696) and (28) follows: % 58.27/23.85 | (699) op(e1, e2) = e1 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e4, e2, e4, e0 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e0, yields: % 58.27/23.85 | (397) e4 = e0 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.27/23.85 | (425) e4 = e3 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.27/23.85 | (455) e3 = e1 % 58.27/23.85 | % 58.27/23.85 | Combining equations (397,425) yields a new equation: % 58.27/23.85 | (676) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (676,455) yields a new equation: % 58.27/23.85 | (431) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (431) can reduce 233 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (707) ~ (unit = e2) % 58.27/23.85 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (708), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (709) unit = e4 % 58.27/23.85 | % 58.27/23.85 | From (709) and (227) follows: % 58.27/23.85 | (710) op(e4, e4) = e4 % 58.27/23.85 | % 58.27/23.85 | From (709) and (40) follows: % 58.27/23.85 | (711) op(e3, e4) = e3 % 58.27/23.85 | % 58.27/23.85 | From (709) and (32) follows: % 58.27/23.85 | (712) op(e2, e4) = e2 % 58.27/23.85 | % 58.27/23.85 | From (709) and (42) follows: % 58.27/23.85 | (713) op(e0, e4) = e0 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 58.27/23.85 | (630) e4 = e1 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields: % 58.27/23.85 | (662) e3 = e2 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 58.27/23.85 | (323) e4 = e2 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.27/23.85 | (676) e3 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (630,323) yields a new equation: % 58.27/23.85 | (617) e2 = e1 % 58.27/23.85 | % 58.27/23.85 | Combining equations (662,676) yields a new equation: % 58.27/23.85 | (391) e2 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 391 yields: % 58.27/23.85 | (330) e2 = e0 % 58.27/23.85 | % 58.27/23.85 | Combining equations (617,330) yields a new equation: % 58.27/23.85 | (546) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Simplifying 546 yields: % 58.27/23.85 | (431) e1 = e0 % 58.27/23.85 | % 58.27/23.85 | Equations (431) can reduce 233 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (724) ~ (unit = e4) % 58.27/23.85 | (725) unit = e3 | unit = e1 | unit = e0 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (725), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (726) unit = e0 % 58.27/23.85 | % 58.27/23.85 | From (726) and (211) follows: % 58.27/23.85 | (15180) op(e0, e1) = e1 % 58.27/23.85 | % 58.27/23.85 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 58.27/23.85 | (617) e2 = e1 % 58.27/23.85 | % 58.27/23.85 | Equations (617) can reduce 122 to: % 58.27/23.85 | (266) $false % 58.27/23.85 | % 58.27/23.85 |-The branch is then unsatisfiable % 58.27/23.85 |-Branch two: % 58.27/23.85 | (734) ~ (unit = e0) % 58.27/23.85 | (735) unit = e3 | unit = e1 % 58.27/23.85 | % 58.27/23.85 +-Applying beta-rule and splitting (735), into two cases. % 58.27/23.85 |-Branch one: % 58.27/23.85 | (736) unit = e1 % 58.27/23.85 | % 58.27/23.85 | Equations (736) can reduce 734 to: % 58.27/23.85 | (233) ~ (e1 = e0) % 58.27/23.85 | % 58.27/23.85 | From (736) and (15) follows: % 58.27/23.85 | (515) op(e1, e2) = e2 % 58.27/23.85 | % 58.27/23.85 | From (736) and (227) follows: % 58.27/23.85 | (739) op(e4, e1) = e4 % 58.27/23.85 | % 58.27/23.85 | From (736) and (28) follows: % 58.27/23.86 | (740) op(e1, e1) = e1 % 58.27/23.86 | % 58.27/23.86 | From (736) and (42) follows: % 58.27/23.86 | (3221) op(e0, e1) = e0 % 58.27/23.86 | % 58.27/23.86 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.27/23.86 | (425) e4 = e3 % 58.27/23.86 | % 58.27/23.86 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.27/23.86 | (662) e3 = e2 % 58.27/23.86 | % 58.27/23.86 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.27/23.86 | (630) e4 = e1 % 58.27/23.86 | % 58.27/23.86 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 58.27/23.86 | (330) e2 = e0 % 58.27/23.86 | % 58.27/23.86 | Combining equations (425,630) yields a new equation: % 58.27/23.86 | (454) e3 = e1 % 58.27/23.86 | % 58.27/23.86 | Simplifying 454 yields: % 58.27/23.86 | (455) e3 = e1 % 58.27/23.86 | % 58.27/23.86 | Combining equations (662,455) yields a new equation: % 58.27/23.86 | (616) e2 = e1 % 58.27/23.86 | % 58.27/23.86 | Simplifying 616 yields: % 58.27/23.86 | (617) e2 = e1 % 58.27/23.86 | % 58.27/23.86 | Combining equations (617,330) yields a new equation: % 58.27/23.86 | (546) e1 = e0 % 58.27/23.86 | % 58.27/23.86 | Simplifying 546 yields: % 58.27/23.86 | (431) e1 = e0 % 58.27/23.86 | % 58.27/23.86 | Equations (431) can reduce 233 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (748) ~ (unit = e1) % 58.27/23.86 | (749) unit = e3 % 58.27/23.86 | % 58.27/23.86 | From (749) and (209) follows: % 58.27/23.86 | (1667) op(e3, e0) = e0 % 58.27/23.86 | % 58.27/23.86 | From (749) and (32) follows: % 58.27/23.86 | (5793) op(e2, e3) = e2 % 58.27/23.86 | % 58.27/23.86 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.27/23.86 | (676) e3 = e0 % 58.27/23.86 | % 58.27/23.86 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.27/23.86 | (662) e3 = e2 % 58.27/23.86 | % 58.27/23.86 | Combining equations (676,662) yields a new equation: % 58.27/23.86 | (330) e2 = e0 % 58.27/23.86 | % 58.27/23.86 | Equations (330) can reduce 128 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (447) ~ (all_0_40_40 = e4) % 58.27/23.86 | (485) all_0_40_40 = e0 % 58.27/23.86 | % 58.27/23.86 | Equations (485) can reduce 1401 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (1890) ~ (all_0_42_42 = e4) % 58.27/23.86 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (62), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (321) all_0_38_38 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (321,292) yields a new equation: % 58.27/23.86 | (322) e4 = e2 % 58.27/23.86 | % 58.27/23.86 | Simplifying 322 yields: % 58.27/23.86 | (323) e4 = e2 % 58.27/23.86 | % 58.27/23.86 | Equations (323) can reduce 48 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (325) ~ (all_0_38_38 = e4) % 58.27/23.86 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.27/23.86 | % 58.27/23.86 | Equations (292) can reduce 325 to: % 58.27/23.86 | (327) ~ (e4 = e2) % 58.27/23.86 | % 58.27/23.86 | Simplifying 327 yields: % 58.27/23.86 | (48) ~ (e4 = e2) % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (164), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (471) all_0_39_39 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (480,471) yields a new equation: % 58.27/23.86 | (397) e4 = e0 % 58.27/23.86 | % 58.27/23.86 | Equations (397) can reduce 49 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (1377) ~ (all_0_39_39 = e4) % 58.27/23.86 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (2115), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (1392) all_0_42_42 = e4 % 58.27/23.86 | % 58.27/23.86 | Equations (1392) can reduce 1890 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (1890) ~ (all_0_42_42 = e4) % 58.27/23.86 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (2246), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (1790) all_0_47_47 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (1105,1790) yields a new equation: % 58.27/23.86 | (323) e4 = e2 % 58.27/23.86 | % 58.27/23.86 | Equations (323) can reduce 48 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (252) ~ (all_0_47_47 = e4) % 58.27/23.86 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (6548), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (1101) all_0_51_51 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (1101,660) yields a new equation: % 58.27/23.86 | (424) e4 = e3 % 58.27/23.86 | % 58.27/23.86 | Simplifying 424 yields: % 58.27/23.86 | (425) e4 = e3 % 58.27/23.86 | % 58.27/23.86 | Equations (425) can reduce 188 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (475) ~ (all_0_51_51 = e4) % 58.27/23.86 | (842) all_0_56_56 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (1569,842) yields a new equation: % 58.27/23.86 | (630) e4 = e1 % 58.27/23.86 | % 58.27/23.86 | Equations (630) can reduce 110 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (484) ~ (all_0_39_39 = e0) % 58.27/23.86 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (164), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (471) all_0_39_39 = e4 % 58.27/23.86 | % 58.27/23.86 | Equations (471) can reduce 145 to: % 58.27/23.86 | (1901) ~ (all_0_42_42 = e4) % 58.27/23.86 | % 58.27/23.86 | Simplifying 1901 yields: % 58.27/23.86 | (1890) ~ (all_0_42_42 = e4) % 58.27/23.86 | % 58.27/23.86 | Equations (471) can reduce 246 to: % 58.27/23.86 | (188) ~ (e4 = e3) % 58.27/23.86 | % 58.27/23.86 | Equations (471) can reduce 151 to: % 58.27/23.86 | (110) ~ (e4 = e1) % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (441), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (1392) all_0_42_42 = e4 % 58.27/23.86 | % 58.27/23.86 | Equations (1392) can reduce 1890 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (1890) ~ (all_0_42_42 = e4) % 58.27/23.86 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (1891), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (396) all_0_43_43 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (430,396) yields a new equation: % 58.27/23.86 | (630) e4 = e1 % 58.27/23.86 | % 58.27/23.86 | Equations (630) can reduce 110 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (399) ~ (all_0_43_43 = e4) % 58.27/23.86 | (446) all_0_44_44 = e4 % 58.27/23.86 | % 58.27/23.86 | Combining equations (532,446) yields a new equation: % 58.27/23.86 | (425) e4 = e3 % 58.27/23.86 | % 58.27/23.86 | Equations (425) can reduce 188 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (1377) ~ (all_0_39_39 = e4) % 58.27/23.86 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.27/23.86 | % 58.27/23.86 +-Applying beta-rule and splitting (320), into two cases. % 58.27/23.86 |-Branch one: % 58.27/23.86 | (471) all_0_39_39 = e4 % 58.27/23.86 | % 58.27/23.86 | Equations (471) can reduce 1377 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (1377) ~ (all_0_39_39 = e4) % 58.27/23.86 | (480) all_0_39_39 = e0 % 58.27/23.86 | % 58.27/23.86 | Equations (480) can reduce 484 to: % 58.27/23.86 | (266) $false % 58.27/23.86 | % 58.27/23.86 |-The branch is then unsatisfiable % 58.27/23.86 |-Branch two: % 58.27/23.86 | (357) ~ (all_0_41_41 = e0) % 58.27/23.86 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (4053), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (453) all_0_41_41 = e1 % 58.36/23.86 | % 58.36/23.86 | Equations (453) can reduce 457 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (457) ~ (all_0_41_41 = e1) % 58.36/23.86 | (403) all_0_41_41 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (403) can reduce 1898 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (1064) ~ (all_0_49_49 = e1) % 58.36/23.86 | (884) all_0_49_49 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (884) can reduce 525 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (407) ~ (all_0_44_44 = e3) % 58.36/23.86 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (1899), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (516) all_0_42_42 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (516) can reduce 405 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (405) ~ (all_0_42_42 = e3) % 58.36/23.86 | (532) all_0_44_44 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (532) can reduce 407 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (664) ~ (all_0_51_51 = e3) % 58.36/23.86 | (665) all_0_53_53 = e3 % 58.36/23.86 | % 58.36/23.86 | Combining equations (665,607) yields a new equation: % 58.36/23.86 | (661) e3 = e2 % 58.36/23.86 | % 58.36/23.86 | Simplifying 661 yields: % 58.36/23.86 | (662) e3 = e2 % 58.36/23.86 | % 58.36/23.86 | Equations (662) can reduce 212 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (338) ~ (all_0_47_47 = e2) % 58.36/23.86 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (54), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (583) all_0_49_49 = e2 % 58.36/23.86 | % 58.36/23.86 | Equations (583) can reduce 340 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (340) ~ (all_0_49_49 = e2) % 58.36/23.86 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (10761), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (335) all_0_48_48 = e2 % 58.36/23.86 | % 58.36/23.86 | Combining equations (335,1279) yields a new equation: % 58.36/23.86 | (391) e2 = e0 % 58.36/23.86 | % 58.36/23.86 | Simplifying 391 yields: % 58.36/23.86 | (330) e2 = e0 % 58.36/23.86 | % 58.36/23.86 | Equations (330) can reduce 128 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (810) ~ (all_0_48_48 = e2) % 58.36/23.86 | (583) all_0_49_49 = e2 % 58.36/23.86 | % 58.36/23.86 | Equations (583) can reduce 340 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (759) ~ (all_0_50_50 = e1) % 58.36/23.86 | (415) all_0_50_50 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (415) can reduce 411 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (409) ~ (all_0_46_46 = e3) % 58.36/23.86 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (4042), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (415) all_0_50_50 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (415) can reduce 411 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (411) ~ (all_0_50_50 = e3) % 58.36/23.86 | (2336) all_0_55_55 = e3 % 58.36/23.86 | % 58.36/23.86 | Equations (2336) can reduce 270 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.86 | (875) all_0_57_57 = e0 % 58.36/23.86 | % 58.36/23.86 | Combining equations (875,442) yields a new equation: % 58.36/23.86 | (330) e2 = e0 % 58.36/23.86 | % 58.36/23.86 | Equations (330) can reduce 128 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (780) ~ (all_0_52_52 = e4) % 58.36/23.86 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (355), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (565) all_0_52_52 = e4 % 58.36/23.86 | % 58.36/23.86 | Equations (565) can reduce 780 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (780) ~ (all_0_52_52 = e4) % 58.36/23.86 | (642) all_0_52_52 = e1 % 58.36/23.86 | % 58.36/23.86 | Equations (642) can reduce 342 to: % 58.36/23.86 | (604) ~ (e2 = e1) % 58.36/23.86 | % 58.36/23.86 | Simplifying 604 yields: % 58.36/23.86 | (122) ~ (e2 = e1) % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (781), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (789), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (790), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (791), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.36/23.86 | % 58.36/23.86 +-Applying beta-rule and splitting (792), into two cases. % 58.36/23.86 |-Branch one: % 58.36/23.86 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.36/23.86 | % 58.36/23.86 | Applying alpha-rule on (793) yields: % 58.36/23.86 | (794) all_0_41_41 = e0 % 58.36/23.86 | (795) all_0_58_58 = e3 % 58.36/23.86 | (407) ~ (all_0_44_44 = e3) % 58.36/23.86 | % 58.36/23.86 | Equations (795) can reduce 276 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.36/23.86 | % 58.36/23.86 | Applying alpha-rule on (800) yields: % 58.36/23.86 | (794) all_0_41_41 = e0 % 58.36/23.86 | (795) all_0_58_58 = e3 % 58.36/23.86 | (803) ~ (all_0_55_55 = e0) % 58.36/23.86 | % 58.36/23.86 | Equations (795) can reduce 276 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.36/23.86 | % 58.36/23.86 | Applying alpha-rule on (807) yields: % 58.36/23.86 | (654) all_0_47_47 = e1 % 58.36/23.86 | (352) all_0_52_52 = e2 % 58.36/23.86 | (810) ~ (all_0_48_48 = e2) % 58.36/23.86 | % 58.36/23.86 | Combining equations (642,352) yields a new equation: % 58.36/23.86 | (617) e2 = e1 % 58.36/23.86 | % 58.36/23.86 | Equations (617) can reduce 122 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.36/23.86 | % 58.36/23.86 | Applying alpha-rule on (813) yields: % 58.36/23.86 | (654) all_0_47_47 = e1 % 58.36/23.86 | (352) all_0_52_52 = e2 % 58.36/23.86 | (464) ~ (all_0_51_51 = e1) % 58.36/23.86 | % 58.36/23.86 | Combining equations (642,352) yields a new equation: % 58.36/23.86 | (617) e2 = e1 % 58.36/23.86 | % 58.36/23.86 | Equations (617) can reduce 122 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.36/23.86 | % 58.36/23.86 | Applying alpha-rule on (819) yields: % 58.36/23.86 | (674) all_0_47_47 = e0 % 58.36/23.86 | (624) all_0_58_58 = e2 % 58.36/23.86 | (340) ~ (all_0_49_49 = e2) % 58.36/23.86 | % 58.36/23.86 | Equations (624) can reduce 908 to: % 58.36/23.86 | (266) $false % 58.36/23.86 | % 58.36/23.86 |-The branch is then unsatisfiable % 58.36/23.86 |-Branch two: % 58.36/23.86 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.36/23.86 | % 58.36/23.86 | Applying alpha-rule on (825) yields: % 58.36/23.86 | (674) all_0_47_47 = e0 % 58.36/23.86 | (624) all_0_58_58 = e2 % 58.36/23.87 | (828) ~ (all_0_56_56 = e0) % 58.36/23.87 | % 58.36/23.87 | Equations (624) can reduce 908 to: % 58.36/23.87 | (266) $false % 58.36/23.87 | % 58.36/23.87 |-The branch is then unsatisfiable % 58.36/23.87 |-Branch two: % 58.36/23.87 | (9600) ~ (all_0_38_38 = e2) % 58.36/23.87 | (22169) all_0_39_39 = e2 | all_0_40_40 = e2 % 58.36/23.87 | % 58.36/23.87 +-Applying beta-rule and splitting (161), into two cases. % 58.36/23.87 |-Branch one: % 58.36/23.87 | (292) all_0_38_38 = e2 % 58.36/23.87 | % 58.36/23.87 | Equations (292) can reduce 9600 to: % 58.36/23.87 | (266) $false % 58.36/23.87 | % 58.36/23.87 |-The branch is then unsatisfiable % 58.36/23.87 |-Branch two: % 58.36/23.87 | (9600) ~ (all_0_38_38 = e2) % 58.36/23.87 | (22173) all_0_38_38 = e4 | all_0_38_38 = e0 % 58.36/23.87 | % 58.36/23.87 +-Applying beta-rule and splitting (39), into two cases. % 58.36/23.87 |-Branch one: % 58.36/23.87 | (317) all_0_39_39 = e2 % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 63 to: % 58.36/23.87 | (9600) ~ (all_0_38_38 = e2) % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 176 to: % 58.36/23.87 | (295) ~ (all_0_40_40 = e2) % 58.36/23.87 | % 58.36/23.87 | Simplifying 295 yields: % 58.36/23.87 | (296) ~ (all_0_40_40 = e2) % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 145 to: % 58.36/23.87 | (22178) ~ (all_0_42_42 = e2) % 58.36/23.87 | % 58.36/23.87 | Simplifying 22178 yields: % 58.36/23.87 | (51) ~ (all_0_42_42 = e2) % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 79 to: % 58.36/23.87 | (22180) ~ (all_0_47_47 = e2) % 58.36/23.87 | % 58.36/23.87 | Simplifying 22180 yields: % 58.36/23.87 | (338) ~ (all_0_47_47 = e2) % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 139 to: % 58.36/23.87 | (17668) ~ (all_0_51_51 = e2) % 58.36/23.87 | % 58.36/23.87 | Simplifying 17668 yields: % 58.36/23.87 | (1099) ~ (all_0_51_51 = e2) % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 154 to: % 58.36/23.87 | (510) ~ (all_0_56_56 = e2) % 58.36/23.87 | % 58.36/23.87 | Simplifying 510 yields: % 58.36/23.87 | (511) ~ (all_0_56_56 = e2) % 58.36/23.87 | % 58.36/23.87 | Equations (317) can reduce 151 to: % 58.36/23.87 | (122) ~ (e2 = e1) % 58.36/23.87 | % 58.36/23.87 | From (317) and (38) follows: % 58.36/23.87 | (22187) op(e2, e2) = all_0_3_3 % 58.36/23.87 | % 58.36/23.87 | From (317) and (14) follows: % 58.36/23.87 | (22188) op(e4, e2) = e2 % 58.36/23.87 | % 58.36/23.87 | Instantiating formula (29) with e2, e2, all_0_3_3, all_0_47_47 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = all_0_47_47, yields: % 58.36/23.87 | (22189) all_0_3_3 = all_0_47_47 % 58.36/23.87 | % 58.36/23.87 | From (22189) and (22187) follows: % 58.36/23.87 | (23) op(e2, e2) = all_0_47_47 % 58.36/23.87 | % 58.36/23.87 +-Applying beta-rule and splitting (232), into two cases. % 58.36/23.87 |-Branch one: % 58.36/23.87 | (313) all_0_40_40 = e2 % 58.36/23.87 | % 58.36/23.87 | Equations (313) can reduce 296 to: % 58.36/23.87 | (266) $false % 58.36/23.87 | % 58.36/23.87 |-The branch is then unsatisfiable % 58.36/23.87 |-Branch two: % 58.36/23.87 | (296) ~ (all_0_40_40 = e2) % 58.36/23.87 | (316) all_0_40_40 = e4 | all_0_40_40 = e0 % 58.36/23.87 | % 58.36/23.87 +-Applying beta-rule and splitting (155), into two cases. % 58.36/23.87 |-Branch one: % 58.36/23.87 | (329) all_0_38_38 = e0 % 58.36/23.87 | % 58.36/23.87 | Equations (329) can reduce 97 to: % 58.36/23.87 | (1400) ~ (all_0_40_40 = e0) % 58.36/23.87 | % 58.36/23.87 | Simplifying 1400 yields: % 58.36/23.87 | (1401) ~ (all_0_40_40 = e0) % 58.36/23.87 | % 58.36/23.87 | Equations (329) can reduce 106 to: % 58.36/23.88 | (22198) ~ (all_0_41_41 = e0) % 58.36/23.88 | % 58.36/23.88 | Simplifying 22198 yields: % 58.36/23.88 | (357) ~ (all_0_41_41 = e0) % 58.36/23.88 | % 58.36/23.88 | Equations (329) can reduce 141 to: % 58.36/23.88 | (5567) ~ (all_0_46_46 = e0) % 58.36/23.88 | % 58.36/23.88 | Simplifying 5567 yields: % 58.36/23.88 | (831) ~ (all_0_46_46 = e0) % 58.36/23.88 | % 58.36/23.88 | Equations (329) can reduce 193 to: % 58.36/23.88 | (22202) ~ (all_0_50_50 = e0) % 58.36/23.88 | % 58.36/23.88 | Simplifying 22202 yields: % 58.36/23.88 | (121) ~ (all_0_50_50 = e0) % 58.36/23.88 | % 58.36/23.88 | Equations (329) can reduce 25 to: % 58.36/23.88 | (4444) ~ (all_0_55_55 = e0) % 58.36/23.88 | % 58.36/23.88 | Simplifying 4444 yields: % 58.36/23.88 | (803) ~ (all_0_55_55 = e0) % 58.36/23.88 | % 58.36/23.88 | Equations (329) can reduce 9600 to: % 58.36/23.88 | (365) ~ (e2 = e0) % 58.36/23.88 | % 58.36/23.88 | Simplifying 365 yields: % 58.36/23.88 | (128) ~ (e2 = e0) % 58.36/23.88 | % 58.36/23.88 | Equations (329) can reduce 50 to: % 58.36/23.88 | (435) ~ (e1 = e0) % 58.36/23.88 | % 58.36/23.88 | Simplifying 435 yields: % 58.36/23.88 | (233) ~ (e1 = e0) % 58.36/23.88 | % 58.36/23.88 | From (329) and (71) follows: % 58.36/23.88 | (22210) op(e0, e4) = all_0_0_0 % 58.36/23.88 | % 58.36/23.88 | From (329) and (156) follows: % 58.36/23.88 | (22211) op(e0, e3) = all_0_1_1 % 58.36/23.88 | % 58.36/23.88 | From (329) and (52) follows: % 58.36/23.88 | (22212) op(e4, e3) = e0 % 58.36/23.88 | % 58.36/23.88 +-Applying beta-rule and splitting (170), into two cases. % 58.36/23.88 |-Branch one: % 58.36/23.88 | (321) all_0_38_38 = e4 % 58.36/23.88 | % 58.36/23.88 | Combining equations (329,321) yields a new equation: % 58.36/23.88 | (397) e4 = e0 % 58.36/23.88 | % 58.36/23.88 | Equations (397) can reduce 49 to: % 58.36/23.88 | (266) $false % 58.36/23.88 | % 58.36/23.88 |-The branch is then unsatisfiable % 58.36/23.88 |-Branch two: % 58.36/23.88 | (325) ~ (all_0_38_38 = e4) % 58.36/23.88 | (326) all_0_39_39 = e4 | all_0_40_40 = e4 % 58.36/23.88 | % 58.36/23.88 +-Applying beta-rule and splitting (326), into two cases. % 58.36/23.88 |-Branch one: % 58.36/23.88 | (471) all_0_39_39 = e4 % 58.36/23.88 | % 58.36/23.88 | Combining equations (471,317) yields a new equation: % 58.36/23.88 | (322) e4 = e2 % 58.36/23.88 | % 58.36/23.88 | Simplifying 322 yields: % 58.36/23.88 | (323) e4 = e2 % 58.36/23.88 | % 58.36/23.88 | Equations (323) can reduce 48 to: % 58.36/23.88 | (266) $false % 58.36/23.88 | % 58.36/23.88 |-The branch is then unsatisfiable % 58.36/23.88 |-Branch two: % 58.36/23.88 | (1377) ~ (all_0_39_39 = e4) % 58.36/23.88 | (1378) all_0_40_40 = e4 % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 143 to: % 58.36/23.88 | (1903) ~ (all_0_44_44 = e4) % 58.36/23.88 | % 58.36/23.88 | Simplifying 1903 yields: % 58.36/23.88 | (1390) ~ (all_0_44_44 = e4) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 200 to: % 58.36/23.88 | (255) ~ (all_0_49_49 = e4) % 58.36/23.88 | % 58.36/23.88 | Simplifying 255 yields: % 58.36/23.88 | (256) ~ (all_0_49_49 = e4) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 162 to: % 58.36/23.88 | (1452) ~ (all_0_53_53 = e4) % 58.36/23.88 | % 58.36/23.88 | Simplifying 1452 yields: % 58.36/23.88 | (1453) ~ (all_0_53_53 = e4) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 178 to: % 58.36/23.88 | (450) ~ (all_0_58_58 = e4) % 58.36/23.88 | % 58.36/23.88 | Simplifying 450 yields: % 58.36/23.88 | (451) ~ (all_0_58_58 = e4) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 2 to: % 58.36/23.88 | (188) ~ (e4 = e3) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 296 to: % 58.36/23.88 | (48) ~ (e4 = e2) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 132 to: % 58.36/23.88 | (110) ~ (e4 = e1) % 58.36/23.88 | % 58.36/23.88 | Equations (1378) can reduce 1401 to: % 58.36/23.88 | (49) ~ (e4 = e0) % 58.36/23.88 | % 58.36/23.88 | Instantiating formula (29) with e0, e4, all_0_0_0, e3 and discharging atoms op(e0, e4) = all_0_0_0, op(e0, e4) = e3, yields: % 58.36/23.88 | (22236) all_0_0_0 = e3 % 58.36/23.88 | % 58.36/23.88 | Instantiating formula (29) with e0, e3, all_0_1_1, all_0_55_55 and discharging atoms op(e0, e3) = all_0_1_1, op(e0, e3) = all_0_55_55, yields: % 58.36/23.88 | (22237) all_0_1_1 = all_0_55_55 % 58.36/23.88 | % 58.36/23.88 | From (22236) and (22210) follows: % 58.36/23.88 | (283) op(e0, e4) = e3 % 58.36/23.88 | % 58.36/23.88 | From (22237) and (22211) follows: % 58.36/23.88 | (74) op(e0, e3) = all_0_55_55 % 58.36/23.88 | % 58.36/23.88 +-Applying beta-rule and splitting (109), into two cases. % 58.36/23.88 |-Branch one: % 58.36/23.88 | (352) all_0_52_52 = e2 % 58.36/23.88 | % 58.36/23.88 | Equations (352) can reduce 217 to: % 58.36/23.88 | (96) ~ (all_0_43_43 = e2) % 58.36/23.88 | % 58.36/23.88 | Equations (352) can reduce 101 to: % 58.36/23.88 | (302) ~ (all_0_50_50 = e2) % 58.36/23.88 | % 58.36/23.88 | Equations (352) can reduce 20 to: % 58.36/23.88 | (1099) ~ (all_0_51_51 = e2) % 58.36/23.88 | % 58.36/23.88 | Equations (352) can reduce 46 to: % 58.36/23.88 | (508) ~ (all_0_53_53 = e2) % 58.36/23.88 | % 58.36/23.88 | Simplifying 508 yields: % 58.36/23.88 | (509) ~ (all_0_53_53 = e2) % 58.36/23.88 | % 58.36/23.88 | Equations (352) can reduce 11 to: % 58.36/23.88 | (343) ~ (all_0_57_57 = e2) % 58.36/23.88 | % 58.36/23.88 | Simplifying 343 yields: % 58.36/23.88 | (344) ~ (all_0_57_57 = e2) % 58.36/23.88 | % 58.36/23.88 | Equations (352) can reduce 72 to: % 58.36/23.88 | (128) ~ (e2 = e0) % 58.36/23.88 | % 58.36/23.88 | From (352) and (124) follows: % 58.36/23.88 | (10182) op(e1, e1) = e2 % 58.36/23.88 | % 58.36/23.88 +-Applying beta-rule and splitting (53), into two cases. % 58.36/23.88 |-Branch one: % 58.36/23.88 | (1794) all_0_46_46 = e2 % 58.36/23.88 | % 58.36/23.89 | Equations (1794) can reduce 43 to: % 58.36/23.89 | (85) ~ (all_0_41_41 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (1794) can reduce 19 to: % 58.36/23.89 | (22180) ~ (all_0_47_47 = e2) % 58.36/23.89 | % 58.36/23.89 | Simplifying 22180 yields: % 58.36/23.89 | (338) ~ (all_0_47_47 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (1794) can reduce 30 to: % 58.36/23.89 | (12342) ~ (all_0_48_48 = e2) % 58.36/23.89 | % 58.36/23.89 | Simplifying 12342 yields: % 58.36/23.89 | (810) ~ (all_0_48_48 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (1794) can reduce 35 to: % 58.36/23.89 | (301) ~ (all_0_50_50 = e2) % 58.36/23.89 | % 58.36/23.89 | Simplifying 301 yields: % 58.36/23.89 | (302) ~ (all_0_50_50 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (1794) can reduce 58 to: % 58.36/23.89 | (303) ~ (all_0_55_55 = e2) % 58.36/23.89 | % 58.36/23.89 | Simplifying 303 yields: % 58.36/23.89 | (304) ~ (all_0_55_55 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (1794) can reduce 831 to: % 58.36/23.89 | (128) ~ (e2 = e0) % 58.36/23.89 | % 58.36/23.89 | From (1794) and (120) follows: % 58.36/23.89 | (5793) op(e2, e3) = e2 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (222), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (386) all_0_55_55 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (386) can reduce 304 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (304) ~ (all_0_55_55 = e2) % 58.36/23.89 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (389), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (833) all_0_56_56 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (833) can reduce 511 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (511) ~ (all_0_56_56 = e2) % 58.36/23.89 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (1709), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (442) all_0_57_57 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (442) can reduce 344 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (344) ~ (all_0_57_57 = e2) % 58.36/23.89 | (624) all_0_58_58 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 181 to: % 58.36/23.89 | (147) ~ (all_0_44_44 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 119 to: % 58.36/23.89 | (340) ~ (all_0_49_49 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 10 to: % 58.36/23.89 | (509) ~ (all_0_53_53 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 3 to: % 58.36/23.89 | (304) ~ (all_0_55_55 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 44 to: % 58.36/23.89 | (511) ~ (all_0_56_56 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 148 to: % 58.36/23.89 | (344) ~ (all_0_57_57 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 451 to: % 58.36/23.89 | (327) ~ (e4 = e2) % 58.36/23.89 | % 58.36/23.89 | Simplifying 327 yields: % 58.36/23.89 | (48) ~ (e4 = e2) % 58.36/23.89 | % 58.36/23.89 | Equations (624) can reduce 276 to: % 58.36/23.89 | (626) ~ (e3 = e2) % 58.36/23.89 | % 58.36/23.89 | Simplifying 626 yields: % 58.36/23.89 | (212) ~ (e3 = e2) % 58.36/23.89 | % 58.36/23.89 | From (624) and (245) follows: % 58.36/23.89 | (628) op(e0, e0) = e2 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (230), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (396) all_0_43_43 = e4 % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 31 to: % 58.36/23.89 | (440) ~ (all_0_41_41 = e4) % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 240 to: % 58.36/23.89 | (1890) ~ (all_0_42_42 = e4) % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 159 to: % 58.36/23.89 | (1903) ~ (all_0_44_44 = e4) % 58.36/23.89 | % 58.36/23.89 | Simplifying 1903 yields: % 58.36/23.89 | (1390) ~ (all_0_44_44 = e4) % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 17 to: % 58.36/23.89 | (253) ~ (all_0_48_48 = e4) % 58.36/23.89 | % 58.36/23.89 | Simplifying 253 yields: % 58.36/23.89 | (254) ~ (all_0_48_48 = e4) % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 199 to: % 58.36/23.89 | (838) ~ (all_0_57_57 = e4) % 58.36/23.89 | % 58.36/23.89 | Simplifying 838 yields: % 58.36/23.89 | (839) ~ (all_0_57_57 = e4) % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 99 to: % 58.36/23.89 | (188) ~ (e4 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 96 to: % 58.36/23.89 | (48) ~ (e4 = e2) % 58.36/23.89 | % 58.36/23.89 | From (396) and (37) follows: % 58.36/23.89 | (5492) op(e3, e1) = e4 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (4), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (356) all_0_43_43 = e0 % 58.36/23.89 | % 58.36/23.89 | Combining equations (356,396) yields a new equation: % 58.36/23.89 | (397) e4 = e0 % 58.36/23.89 | % 58.36/23.89 | Equations (397) can reduce 49 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (5470) ~ (all_0_43_43 = e0) % 58.36/23.89 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 5470 to: % 58.36/23.89 | (49) ~ (e4 = e0) % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (144), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (403) all_0_41_41 = e3 % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 214 to: % 58.36/23.89 | (404) ~ (all_0_42_42 = e3) % 58.36/23.89 | % 58.36/23.89 | Simplifying 404 yields: % 58.36/23.89 | (405) ~ (all_0_42_42 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 149 to: % 58.36/23.89 | (406) ~ (all_0_44_44 = e3) % 58.36/23.89 | % 58.36/23.89 | Simplifying 406 yields: % 58.36/23.89 | (407) ~ (all_0_44_44 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 221 to: % 58.36/23.89 | (410) ~ (all_0_50_50 = e3) % 58.36/23.89 | % 58.36/23.89 | Simplifying 410 yields: % 58.36/23.89 | (411) ~ (all_0_50_50 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 191 to: % 58.36/23.89 | (269) ~ (all_0_55_55 = e3) % 58.36/23.89 | % 58.36/23.89 | Simplifying 269 yields: % 58.36/23.89 | (270) ~ (all_0_55_55 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 440 to: % 58.36/23.89 | (277) ~ (e4 = e3) % 58.36/23.89 | % 58.36/23.89 | Simplifying 277 yields: % 58.36/23.89 | (188) ~ (e4 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 357 to: % 58.36/23.89 | (80) ~ (e3 = e0) % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (168), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (415) all_0_50_50 = e3 % 58.36/23.89 | % 58.36/23.89 | Equations (415) can reduce 411 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (411) ~ (all_0_50_50 = e3) % 58.36/23.89 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (165), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (794) all_0_41_41 = e0 % 58.36/23.89 | % 58.36/23.89 | Combining equations (794,403) yields a new equation: % 58.36/23.89 | (676) e3 = e0 % 58.36/23.89 | % 58.36/23.89 | Equations (676) can reduce 80 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (357) ~ (all_0_41_41 = e0) % 58.36/23.89 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (103), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (453) all_0_41_41 = e1 % 58.36/23.89 | % 58.36/23.89 | Combining equations (453,403) yields a new equation: % 58.36/23.89 | (455) e3 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (455) can reduce 213 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (457) ~ (all_0_41_41 = e1) % 58.36/23.89 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (403) can reduce 457 to: % 58.36/23.89 | (213) ~ (e3 = e1) % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (196), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (607) all_0_53_53 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (607) can reduce 509 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (509) ~ (all_0_53_53 = e2) % 58.36/23.89 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (130), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (430) all_0_43_43 = e1 % 58.36/23.89 | % 58.36/23.89 | Combining equations (396,430) yields a new equation: % 58.36/23.89 | (636) e4 = e1 % 58.36/23.89 | % 58.36/23.89 | Simplifying 636 yields: % 58.36/23.89 | (630) e4 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (630) can reduce 110 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (433) ~ (all_0_43_43 = e1) % 58.36/23.89 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (396) can reduce 433 to: % 58.36/23.89 | (110) ~ (e4 = e1) % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (75), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (485) all_0_40_40 = e0 % 58.36/23.89 | % 58.36/23.89 | Combining equations (1378,485) yields a new equation: % 58.36/23.89 | (481) e4 = e0 % 58.36/23.89 | % 58.36/23.89 | Simplifying 481 yields: % 58.36/23.89 | (397) e4 = e0 % 58.36/23.89 | % 58.36/23.89 | Equations (397) can reduce 49 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (1401) ~ (all_0_40_40 = e0) % 58.36/23.89 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.36/23.89 | % 58.36/23.89 | Equations (1378) can reduce 1401 to: % 58.36/23.89 | (49) ~ (e4 = e0) % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (180), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (516) all_0_42_42 = e3 % 58.36/23.89 | % 58.36/23.89 | Equations (516) can reduce 405 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (405) ~ (all_0_42_42 = e3) % 58.36/23.89 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (152), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (1392) all_0_42_42 = e4 % 58.36/23.89 | % 58.36/23.89 | Equations (1392) can reduce 1890 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (1890) ~ (all_0_42_42 = e4) % 58.36/23.89 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (18), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (453) all_0_41_41 = e1 % 58.36/23.89 | % 58.36/23.89 | Combining equations (403,453) yields a new equation: % 58.36/23.89 | (454) e3 = e1 % 58.36/23.89 | % 58.36/23.89 | Simplifying 454 yields: % 58.36/23.89 | (455) e3 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (455) can reduce 213 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (457) ~ (all_0_41_41 = e1) % 58.36/23.89 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (12), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (442) all_0_57_57 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (442) can reduce 344 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (344) ~ (all_0_57_57 = e2) % 58.36/23.89 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (189), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (532) all_0_44_44 = e3 % 58.36/23.89 | % 58.36/23.89 | Equations (532) can reduce 407 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (407) ~ (all_0_44_44 = e3) % 58.36/23.89 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (228), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (335) all_0_48_48 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (335) can reduce 810 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (810) ~ (all_0_48_48 = e2) % 58.36/23.89 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (241), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (378) all_0_50_50 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (378) can reduce 302 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (302) ~ (all_0_50_50 = e2) % 58.36/23.89 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (231), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (775) all_0_50_50 = e4 % 58.36/23.89 | % 58.36/23.89 | Equations (775) can reduce 190 to: % 58.36/23.89 | (1452) ~ (all_0_53_53 = e4) % 58.36/23.89 | % 58.36/23.89 | Simplifying 1452 yields: % 58.36/23.89 | (1453) ~ (all_0_53_53 = e4) % 58.36/23.89 | % 58.36/23.89 | From (775) and (242) follows: % 58.36/23.89 | (5059) op(e1, e3) = e4 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (595), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (545) all_0_46_46 = e1 % 58.36/23.89 | % 58.36/23.89 | Combining equations (1794,545) yields a new equation: % 58.36/23.89 | (616) e2 = e1 % 58.36/23.89 | % 58.36/23.89 | Simplifying 616 yields: % 58.36/23.89 | (617) e2 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (617) can reduce 122 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (549) ~ (all_0_46_46 = e1) % 58.36/23.89 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (600), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (601) all_0_50_50 = e1 % 58.36/23.89 | % 58.36/23.89 | Combining equations (775,601) yields a new equation: % 58.36/23.89 | (636) e4 = e1 % 58.36/23.89 | % 58.36/23.89 | Simplifying 636 yields: % 58.36/23.89 | (630) e4 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (630) can reduce 110 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (759) ~ (all_0_50_50 = e1) % 58.36/23.89 | (629) all_0_55_55 = e1 % 58.36/23.89 | % 58.36/23.89 | Equations (629) can reduce 153 to: % 58.36/23.89 | (465) ~ (all_0_56_56 = e1) % 58.36/23.89 | % 58.36/23.89 | Simplifying 465 yields: % 58.36/23.89 | (466) ~ (all_0_56_56 = e1) % 58.36/23.89 | % 58.36/23.89 | Equations (629) can reduce 81 to: % 58.36/23.89 | (2437) ~ (all_0_57_57 = e1) % 58.36/23.89 | % 58.36/23.89 | Simplifying 2437 yields: % 58.36/23.89 | (1670) ~ (all_0_57_57 = e1) % 58.36/23.89 | % 58.36/23.89 | From (629) and (74) follows: % 58.36/23.89 | (6587) op(e0, e3) = e1 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (445), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (871) all_0_57_57 = e4 % 58.36/23.89 | % 58.36/23.89 | Equations (871) can reduce 839 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (839) ~ (all_0_57_57 = e4) % 58.36/23.89 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (874), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (875) all_0_57_57 = e0 % 58.36/23.89 | % 58.36/23.89 | Equations (875) can reduce 239 to: % 58.36/23.89 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.89 | % 58.36/23.89 | Equations (875) can reduce 140 to: % 58.36/23.89 | (828) ~ (all_0_56_56 = e0) % 58.36/23.89 | % 58.36/23.89 | Equations (875) can reduce 344 to: % 58.36/23.89 | (365) ~ (e2 = e0) % 58.36/23.89 | % 58.36/23.89 | Simplifying 365 yields: % 58.36/23.89 | (128) ~ (e2 = e0) % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (133), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (833) all_0_56_56 = e2 % 58.36/23.89 | % 58.36/23.89 | Equations (833) can reduce 511 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.89 | (511) ~ (all_0_56_56 = e2) % 58.36/23.89 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (836), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (842) all_0_56_56 = e4 % 58.36/23.89 | % 58.36/23.89 | Equations (842) can reduce 91 to: % 58.36/23.89 | (252) ~ (all_0_47_47 = e4) % 58.36/23.89 | % 58.36/23.89 | Equations (842) can reduce 272 to: % 58.36/23.89 | (188) ~ (e4 = e3) % 58.36/23.89 | % 58.36/23.89 | Equations (842) can reduce 511 to: % 58.36/23.89 | (48) ~ (e4 = e2) % 58.36/23.89 | % 58.36/23.89 | From (842) and (111) follows: % 58.36/23.89 | (2154) op(e0, e2) = e4 % 58.36/23.89 | % 58.36/23.89 +-Applying beta-rule and splitting (10218), into two cases. % 58.36/23.89 |-Branch one: % 58.36/23.89 | (943) all_0_48_48 = e4 % 58.36/23.89 | % 58.36/23.89 | Equations (943) can reduce 254 to: % 58.36/23.89 | (266) $false % 58.36/23.89 | % 58.36/23.89 |-The branch is then unsatisfiable % 58.36/23.89 |-Branch two: % 58.36/23.90 | (254) ~ (all_0_48_48 = e4) % 58.36/23.90 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (434), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (615) all_0_48_48 = e1 % 58.36/23.90 | % 58.36/23.90 | Equations (615) can reduce 114 to: % 58.36/23.90 | (462) ~ (all_0_47_47 = e1) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (163), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (565) all_0_52_52 = e4 % 58.36/23.90 | % 58.36/23.90 | Combining equations (565,352) yields a new equation: % 58.36/23.90 | (322) e4 = e2 % 58.36/23.90 | % 58.36/23.90 | Simplifying 322 yields: % 58.36/23.90 | (323) e4 = e2 % 58.36/23.90 | % 58.36/23.90 | Equations (323) can reduce 48 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (780) ~ (all_0_52_52 = e4) % 58.36/23.90 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (781), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (789), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (790), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (791), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (792), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.36/23.90 | % 58.36/23.90 | Applying alpha-rule on (793) yields: % 58.36/23.90 | (794) all_0_41_41 = e0 % 58.36/23.90 | (795) all_0_58_58 = e3 % 58.36/23.90 | (407) ~ (all_0_44_44 = e3) % 58.36/23.90 | % 58.36/23.90 | Combining equations (794,403) yields a new equation: % 58.36/23.90 | (676) e3 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (624,795) yields a new equation: % 58.36/23.90 | (662) e3 = e2 % 58.36/23.90 | % 58.36/23.90 | Combining equations (662,676) yields a new equation: % 58.36/23.90 | (391) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Simplifying 391 yields: % 58.36/23.90 | (330) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (330) can reduce 128 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.36/23.90 | % 58.36/23.90 | Applying alpha-rule on (800) yields: % 58.36/23.90 | (794) all_0_41_41 = e0 % 58.36/23.90 | (795) all_0_58_58 = e3 % 58.36/23.90 | (803) ~ (all_0_55_55 = e0) % 58.36/23.90 | % 58.36/23.90 | Combining equations (794,403) yields a new equation: % 58.36/23.90 | (676) e3 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (624,795) yields a new equation: % 58.36/23.90 | (662) e3 = e2 % 58.36/23.90 | % 58.36/23.90 | Combining equations (662,676) yields a new equation: % 58.36/23.90 | (391) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Simplifying 391 yields: % 58.36/23.90 | (330) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (330) can reduce 128 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.36/23.90 | % 58.36/23.90 | Applying alpha-rule on (807) yields: % 58.36/23.90 | (654) all_0_47_47 = e1 % 58.36/23.90 | (352) all_0_52_52 = e2 % 58.36/23.90 | (810) ~ (all_0_48_48 = e2) % 58.36/23.90 | % 58.36/23.90 | Equations (654) can reduce 462 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.36/23.90 | % 58.36/23.90 | Applying alpha-rule on (813) yields: % 58.36/23.90 | (654) all_0_47_47 = e1 % 58.36/23.90 | (352) all_0_52_52 = e2 % 58.36/23.90 | (464) ~ (all_0_51_51 = e1) % 58.36/23.90 | % 58.36/23.90 | Equations (654) can reduce 462 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.36/23.90 | % 58.36/23.90 | Applying alpha-rule on (819) yields: % 58.36/23.90 | (674) all_0_47_47 = e0 % 58.36/23.90 | (624) all_0_58_58 = e2 % 58.36/23.90 | (340) ~ (all_0_49_49 = e2) % 58.36/23.90 | % 58.36/23.90 | Equations (674) can reduce 198 to: % 58.36/23.90 | (358) ~ (all_0_42_42 = e0) % 58.36/23.90 | % 58.36/23.90 | Equations (674) can reduce 252 to: % 58.36/23.90 | (401) ~ (e4 = e0) % 58.36/23.90 | % 58.36/23.90 | Simplifying 401 yields: % 58.36/23.90 | (49) ~ (e4 = e0) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (1969), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (559) all_0_42_42 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (559) can reduce 358 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (358) ~ (all_0_42_42 = e0) % 58.36/23.90 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (6761), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (559) all_0_42_42 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (559) can reduce 358 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (358) ~ (all_0_42_42 = e0) % 58.36/23.90 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (78), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (423) all_0_45_45 = e3 % 58.36/23.90 | % 58.36/23.90 | Combining equations (248,423) yields a new equation: % 58.36/23.90 | (424) e4 = e3 % 58.36/23.90 | % 58.36/23.90 | Simplifying 424 yields: % 58.36/23.90 | (425) e4 = e3 % 58.36/23.90 | % 58.36/23.90 | Equations (425) can reduce 188 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (427) ~ (all_0_45_45 = e3) % 58.36/23.90 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.36/23.90 | % 58.36/23.90 | Equations (248) can reduce 427 to: % 58.36/23.90 | (188) ~ (e4 = e3) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (6766), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (356) all_0_43_43 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (356,396) yields a new equation: % 58.36/23.90 | (397) e4 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (397) can reduce 49 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (5470) ~ (all_0_43_43 = e0) % 58.36/23.90 | (1414) all_0_44_44 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (1414) can reduce 220 to: % 58.36/23.90 | (488) ~ (all_0_53_53 = e0) % 58.36/23.90 | % 58.36/23.90 | Simplifying 488 yields: % 58.36/23.90 | (247) ~ (all_0_53_53 = e0) % 58.36/23.90 | % 58.36/23.90 | Equations (1414) can reduce 407 to: % 58.36/23.90 | (541) ~ (e3 = e0) % 58.36/23.90 | % 58.36/23.90 | Simplifying 541 yields: % 58.36/23.90 | (80) ~ (e3 = e0) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (7), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (504) all_0_51_51 = e2 % 58.36/23.90 | % 58.36/23.90 | Equations (504) can reduce 1099 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (1099) ~ (all_0_51_51 = e2) % 58.36/23.90 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (521), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (522) all_0_47_47 = e3 % 58.36/23.90 | % 58.36/23.90 | Combining equations (674,522) yields a new equation: % 58.36/23.90 | (676) e3 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (676) can reduce 80 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (1091) ~ (all_0_47_47 = e3) % 58.36/23.90 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (1092), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (660) all_0_51_51 = e3 % 58.36/23.90 | % 58.36/23.90 | Equations (660) can reduce 6 to: % 58.36/23.90 | (1114) ~ (all_0_53_53 = e3) % 58.36/23.90 | % 58.36/23.90 | Simplifying 1114 yields: % 58.36/23.90 | (903) ~ (all_0_53_53 = e3) % 58.36/23.90 | % 58.36/23.90 | Equations (660) can reduce 1099 to: % 58.36/23.90 | (212) ~ (e3 = e2) % 58.36/23.90 | % 58.36/23.90 | From (660) and (186) follows: % 58.36/23.90 | (1552) op(e1, e2) = e3 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (537), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (884) all_0_49_49 = e3 % 58.36/23.90 | % 58.36/23.90 | Equations (884) can reduce 65 to: % 58.36/23.90 | (1114) ~ (all_0_53_53 = e3) % 58.36/23.90 | % 58.36/23.90 | Simplifying 1114 yields: % 58.36/23.90 | (903) ~ (all_0_53_53 = e3) % 58.36/23.90 | % 58.36/23.90 | From (884) and (55) follows: % 58.36/23.90 | (1581) op(e2, e0) = e3 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (610), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (1298) all_0_53_53 = e4 % 58.36/23.90 | % 58.36/23.90 | Equations (1298) can reduce 1453 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (1453) ~ (all_0_53_53 = e4) % 58.36/23.90 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (1694), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (1208) all_0_53_53 = e1 % 58.36/23.90 | % 58.36/23.90 | Equations (1208) can reduce 247 to: % 58.36/23.90 | (233) ~ (e1 = e0) % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (56), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (696) unit = e2 % 58.36/23.90 | % 58.36/23.90 | From (696) and (209) follows: % 58.36/23.90 | (7585) op(e2, e0) = e0 % 58.36/23.90 | % 58.36/23.90 | From (696) and (28) follows: % 58.36/23.90 | (699) op(e1, e2) = e1 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.36/23.90 | (676) e3 = e0 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.36/23.90 | (455) e3 = e1 % 58.36/23.90 | % 58.36/23.90 | Combining equations (455,676) yields a new equation: % 58.36/23.90 | (546) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Simplifying 546 yields: % 58.36/23.90 | (431) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (431) can reduce 233 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (707) ~ (unit = e2) % 58.36/23.90 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (708), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (709) unit = e4 % 58.36/23.90 | % 58.36/23.90 | From (709) and (211) follows: % 58.36/23.90 | (22527) op(e4, e1) = e1 % 58.36/23.90 | % 58.36/23.90 | From (709) and (42) follows: % 58.36/23.90 | (713) op(e0, e4) = e0 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.36/23.90 | (455) e3 = e1 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.36/23.90 | (676) e3 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (455,676) yields a new equation: % 58.36/23.90 | (546) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Simplifying 546 yields: % 58.36/23.90 | (431) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (431) can reduce 233 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (724) ~ (unit = e4) % 58.36/23.90 | (725) unit = e3 | unit = e1 | unit = e0 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (725), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (726) unit = e0 % 58.36/23.90 | % 58.36/23.90 | From (726) and (244) follows: % 58.36/23.90 | (2207) op(e0, e4) = e4 % 58.36/23.90 | % 58.36/23.90 | From (726) and (24) follows: % 58.36/23.90 | (2208) op(e0, e3) = e3 % 58.36/23.90 | % 58.36/23.90 | From (726) and (15) follows: % 58.36/23.90 | (1508) op(e0, e2) = e2 % 58.36/23.90 | % 58.36/23.90 | From (726) and (42) follows: % 58.36/23.90 | (728) op(e0, e0) = e0 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.36/23.90 | (425) e4 = e3 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 58.36/23.90 | (455) e3 = e1 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.36/23.90 | (323) e4 = e2 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.36/23.90 | (330) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (323,425) yields a new equation: % 58.36/23.90 | (662) e3 = e2 % 58.36/23.90 | % 58.36/23.90 | Combining equations (662,455) yields a new equation: % 58.36/23.90 | (616) e2 = e1 % 58.36/23.90 | % 58.36/23.90 | Simplifying 616 yields: % 58.36/23.90 | (617) e2 = e1 % 58.36/23.90 | % 58.36/23.90 | Combining equations (617,330) yields a new equation: % 58.36/23.90 | (546) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Simplifying 546 yields: % 58.36/23.90 | (431) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (431) can reduce 233 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (734) ~ (unit = e0) % 58.36/23.90 | (735) unit = e3 | unit = e1 % 58.36/23.90 | % 58.36/23.90 +-Applying beta-rule and splitting (735), into two cases. % 58.36/23.90 |-Branch one: % 58.36/23.90 | (736) unit = e1 % 58.36/23.90 | % 58.36/23.90 | Equations (736) can reduce 734 to: % 58.36/23.90 | (233) ~ (e1 = e0) % 58.36/23.90 | % 58.36/23.90 | From (736) and (244) follows: % 58.36/23.90 | (738) op(e1, e4) = e4 % 58.36/23.90 | % 58.36/23.90 | From (736) and (24) follows: % 58.36/23.90 | (1934) op(e1, e3) = e3 % 58.36/23.90 | % 58.36/23.90 | From (736) and (15) follows: % 58.36/23.90 | (515) op(e1, e2) = e2 % 58.36/23.90 | % 58.36/23.90 | From (736) and (28) follows: % 58.36/23.90 | (740) op(e1, e1) = e1 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.36/23.90 | (397) e4 = e0 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 58.36/23.90 | (425) e4 = e3 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.36/23.90 | (662) e3 = e2 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.36/23.90 | (617) e2 = e1 % 58.36/23.90 | % 58.36/23.90 | Combining equations (397,425) yields a new equation: % 58.36/23.90 | (676) e3 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (676,662) yields a new equation: % 58.36/23.90 | (330) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (330,617) yields a new equation: % 58.36/23.90 | (431) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (431) can reduce 233 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (748) ~ (unit = e1) % 58.36/23.90 | (749) unit = e3 % 58.36/23.90 | % 58.36/23.90 | From (749) and (244) follows: % 58.36/23.90 | (750) op(e3, e4) = e4 % 58.36/23.90 | % 58.36/23.90 | From (749) and (227) follows: % 58.36/23.90 | (22570) op(e4, e3) = e4 % 58.36/23.90 | % 58.36/23.90 | From (749) and (28) follows: % 58.36/23.90 | (2235) op(e1, e3) = e1 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.36/23.90 | (397) e4 = e0 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.36/23.90 | (323) e4 = e2 % 58.36/23.90 | % 58.36/23.90 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 58.36/23.90 | (630) e4 = e1 % 58.36/23.90 | % 58.36/23.90 | Combining equations (397,323) yields a new equation: % 58.36/23.90 | (330) e2 = e0 % 58.36/23.90 | % 58.36/23.90 | Combining equations (630,323) yields a new equation: % 58.36/23.90 | (617) e2 = e1 % 58.36/23.90 | % 58.36/23.90 | Combining equations (330,617) yields a new equation: % 58.36/23.90 | (431) e1 = e0 % 58.36/23.90 | % 58.36/23.90 | Equations (431) can reduce 233 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.90 |-Branch two: % 58.36/23.90 | (1459) ~ (all_0_53_53 = e1) % 58.36/23.90 | (665) all_0_53_53 = e3 % 58.36/23.90 | % 58.36/23.90 | Equations (665) can reduce 903 to: % 58.36/23.90 | (266) $false % 58.36/23.90 | % 58.36/23.90 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (525) ~ (all_0_49_49 = e3) % 58.36/23.91 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (887), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (665) all_0_53_53 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (665) can reduce 903 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (903) ~ (all_0_53_53 = e3) % 58.36/23.91 | (795) all_0_58_58 = e3 % 58.36/23.91 | % 58.36/23.91 | Combining equations (795,624) yields a new equation: % 58.36/23.91 | (661) e3 = e2 % 58.36/23.91 | % 58.36/23.91 | Simplifying 661 yields: % 58.36/23.91 | (662) e3 = e2 % 58.36/23.91 | % 58.36/23.91 | Equations (662) can reduce 212 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (664) ~ (all_0_51_51 = e3) % 58.36/23.91 | (1097) all_0_56_56 = e3 % 58.36/23.91 | % 58.36/23.91 | Combining equations (1097,842) yields a new equation: % 58.36/23.91 | (425) e4 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (425) can reduce 188 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.36/23.91 | % 58.36/23.91 | Applying alpha-rule on (825) yields: % 58.36/23.91 | (674) all_0_47_47 = e0 % 58.36/23.91 | (624) all_0_58_58 = e2 % 58.36/23.91 | (828) ~ (all_0_56_56 = e0) % 58.36/23.91 | % 58.36/23.91 | Equations (674) can reduce 198 to: % 58.36/23.91 | (358) ~ (all_0_42_42 = e0) % 58.36/23.91 | % 58.36/23.91 | Equations (842) can reduce 828 to: % 58.36/23.91 | (49) ~ (e4 = e0) % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (1969), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (559) all_0_42_42 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (559) can reduce 358 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (358) ~ (all_0_42_42 = e0) % 58.36/23.91 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (6761), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (559) all_0_42_42 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (559) can reduce 358 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (358) ~ (all_0_42_42 = e0) % 58.36/23.91 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (78), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (423) all_0_45_45 = e3 % 58.36/23.91 | % 58.36/23.91 | Combining equations (248,423) yields a new equation: % 58.36/23.91 | (424) e4 = e3 % 58.36/23.91 | % 58.36/23.91 | Simplifying 424 yields: % 58.36/23.91 | (425) e4 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (425) can reduce 188 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (427) ~ (all_0_45_45 = e3) % 58.36/23.91 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (248) can reduce 427 to: % 58.36/23.91 | (188) ~ (e4 = e3) % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (6766), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (356) all_0_43_43 = e0 % 58.36/23.91 | % 58.36/23.91 | Combining equations (356,396) yields a new equation: % 58.36/23.91 | (397) e4 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (397) can reduce 49 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (5470) ~ (all_0_43_43 = e0) % 58.36/23.91 | (1414) all_0_44_44 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (1414) can reduce 220 to: % 58.36/23.91 | (488) ~ (all_0_53_53 = e0) % 58.36/23.91 | % 58.36/23.91 | Simplifying 488 yields: % 58.36/23.91 | (247) ~ (all_0_53_53 = e0) % 58.36/23.91 | % 58.36/23.91 | Equations (1414) can reduce 407 to: % 58.36/23.91 | (541) ~ (e3 = e0) % 58.36/23.91 | % 58.36/23.91 | Simplifying 541 yields: % 58.36/23.91 | (80) ~ (e3 = e0) % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (7), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (504) all_0_51_51 = e2 % 58.36/23.91 | % 58.36/23.91 | Equations (504) can reduce 1099 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (1099) ~ (all_0_51_51 = e2) % 58.36/23.91 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (521), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (522) all_0_47_47 = e3 % 58.36/23.91 | % 58.36/23.91 | Combining equations (674,522) yields a new equation: % 58.36/23.91 | (676) e3 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (676) can reduce 80 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (1091) ~ (all_0_47_47 = e3) % 58.36/23.91 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (1092), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (660) all_0_51_51 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (660) can reduce 6 to: % 58.36/23.91 | (1114) ~ (all_0_53_53 = e3) % 58.36/23.91 | % 58.36/23.91 | Simplifying 1114 yields: % 58.36/23.91 | (903) ~ (all_0_53_53 = e3) % 58.36/23.91 | % 58.36/23.91 | Equations (660) can reduce 1099 to: % 58.36/23.91 | (212) ~ (e3 = e2) % 58.36/23.91 | % 58.36/23.91 | From (660) and (186) follows: % 58.36/23.91 | (1552) op(e1, e2) = e3 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (537), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (884) all_0_49_49 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (884) can reduce 65 to: % 58.36/23.91 | (1114) ~ (all_0_53_53 = e3) % 58.36/23.91 | % 58.36/23.91 | Simplifying 1114 yields: % 58.36/23.91 | (903) ~ (all_0_53_53 = e3) % 58.36/23.91 | % 58.36/23.91 | From (884) and (55) follows: % 58.36/23.91 | (1581) op(e2, e0) = e3 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (610), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (1298) all_0_53_53 = e4 % 58.36/23.91 | % 58.36/23.91 | Equations (1298) can reduce 1453 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (1453) ~ (all_0_53_53 = e4) % 58.36/23.91 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (1694), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (1208) all_0_53_53 = e1 % 58.36/23.91 | % 58.36/23.91 | Equations (1208) can reduce 247 to: % 58.36/23.91 | (233) ~ (e1 = e0) % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (56), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (696) unit = e2 % 58.36/23.91 | % 58.36/23.91 | From (696) and (209) follows: % 58.36/23.91 | (7585) op(e2, e0) = e0 % 58.36/23.91 | % 58.36/23.91 | From (696) and (28) follows: % 58.36/23.91 | (699) op(e1, e2) = e1 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.36/23.91 | (676) e3 = e0 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.36/23.91 | (455) e3 = e1 % 58.36/23.91 | % 58.36/23.91 | Combining equations (455,676) yields a new equation: % 58.36/23.91 | (546) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Simplifying 546 yields: % 58.36/23.91 | (431) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (431) can reduce 233 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (707) ~ (unit = e2) % 58.36/23.91 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (708), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (709) unit = e4 % 58.36/23.91 | % 58.36/23.91 | From (709) and (211) follows: % 58.36/23.91 | (22527) op(e4, e1) = e1 % 58.36/23.91 | % 58.36/23.91 | From (709) and (42) follows: % 58.36/23.91 | (713) op(e0, e4) = e0 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.36/23.91 | (455) e3 = e1 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.36/23.91 | (676) e3 = e0 % 58.36/23.91 | % 58.36/23.91 | Combining equations (455,676) yields a new equation: % 58.36/23.91 | (546) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Simplifying 546 yields: % 58.36/23.91 | (431) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (431) can reduce 233 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (724) ~ (unit = e4) % 58.36/23.91 | (725) unit = e3 | unit = e1 | unit = e0 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (725), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (726) unit = e0 % 58.36/23.91 | % 58.36/23.91 | From (726) and (244) follows: % 58.36/23.91 | (2207) op(e0, e4) = e4 % 58.36/23.91 | % 58.36/23.91 | From (726) and (24) follows: % 58.36/23.91 | (2208) op(e0, e3) = e3 % 58.36/23.91 | % 58.36/23.91 | From (726) and (15) follows: % 58.36/23.91 | (1508) op(e0, e2) = e2 % 58.36/23.91 | % 58.36/23.91 | From (726) and (42) follows: % 58.36/23.91 | (728) op(e0, e0) = e0 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.36/23.91 | (425) e4 = e3 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 58.36/23.91 | (455) e3 = e1 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.36/23.91 | (323) e4 = e2 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.36/23.91 | (330) e2 = e0 % 58.36/23.91 | % 58.36/23.91 | Combining equations (323,425) yields a new equation: % 58.36/23.91 | (662) e3 = e2 % 58.36/23.91 | % 58.36/23.91 | Combining equations (662,455) yields a new equation: % 58.36/23.91 | (616) e2 = e1 % 58.36/23.91 | % 58.36/23.91 | Simplifying 616 yields: % 58.36/23.91 | (617) e2 = e1 % 58.36/23.91 | % 58.36/23.91 | Combining equations (617,330) yields a new equation: % 58.36/23.91 | (546) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Simplifying 546 yields: % 58.36/23.91 | (431) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (431) can reduce 233 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (734) ~ (unit = e0) % 58.36/23.91 | (735) unit = e3 | unit = e1 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (735), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (736) unit = e1 % 58.36/23.91 | % 58.36/23.91 | Equations (736) can reduce 734 to: % 58.36/23.91 | (233) ~ (e1 = e0) % 58.36/23.91 | % 58.36/23.91 | From (736) and (244) follows: % 58.36/23.91 | (738) op(e1, e4) = e4 % 58.36/23.91 | % 58.36/23.91 | From (736) and (24) follows: % 58.36/23.91 | (1934) op(e1, e3) = e3 % 58.36/23.91 | % 58.36/23.91 | From (736) and (15) follows: % 58.36/23.91 | (515) op(e1, e2) = e2 % 58.36/23.91 | % 58.36/23.91 | From (736) and (28) follows: % 58.36/23.91 | (740) op(e1, e1) = e1 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.36/23.91 | (397) e4 = e0 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 58.36/23.91 | (425) e4 = e3 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.36/23.91 | (662) e3 = e2 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.36/23.91 | (617) e2 = e1 % 58.36/23.91 | % 58.36/23.91 | Combining equations (397,425) yields a new equation: % 58.36/23.91 | (676) e3 = e0 % 58.36/23.91 | % 58.36/23.91 | Combining equations (676,662) yields a new equation: % 58.36/23.91 | (330) e2 = e0 % 58.36/23.91 | % 58.36/23.91 | Combining equations (330,617) yields a new equation: % 58.36/23.91 | (431) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (431) can reduce 233 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (748) ~ (unit = e1) % 58.36/23.91 | (749) unit = e3 % 58.36/23.91 | % 58.36/23.91 | From (749) and (244) follows: % 58.36/23.91 | (750) op(e3, e4) = e4 % 58.36/23.91 | % 58.36/23.91 | From (749) and (227) follows: % 58.36/23.91 | (22570) op(e4, e3) = e4 % 58.36/23.91 | % 58.36/23.91 | From (749) and (28) follows: % 58.36/23.91 | (2235) op(e1, e3) = e1 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.36/23.91 | (397) e4 = e0 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.36/23.91 | (323) e4 = e2 % 58.36/23.91 | % 58.36/23.91 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 58.36/23.91 | (630) e4 = e1 % 58.36/23.91 | % 58.36/23.91 | Combining equations (397,323) yields a new equation: % 58.36/23.91 | (330) e2 = e0 % 58.36/23.91 | % 58.36/23.91 | Combining equations (630,323) yields a new equation: % 58.36/23.91 | (617) e2 = e1 % 58.36/23.91 | % 58.36/23.91 | Combining equations (330,617) yields a new equation: % 58.36/23.91 | (431) e1 = e0 % 58.36/23.91 | % 58.36/23.91 | Equations (431) can reduce 233 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (1459) ~ (all_0_53_53 = e1) % 58.36/23.91 | (665) all_0_53_53 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (665) can reduce 903 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (525) ~ (all_0_49_49 = e3) % 58.36/23.91 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.36/23.91 | % 58.36/23.91 +-Applying beta-rule and splitting (887), into two cases. % 58.36/23.91 |-Branch one: % 58.36/23.91 | (665) all_0_53_53 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (665) can reduce 903 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (903) ~ (all_0_53_53 = e3) % 58.36/23.91 | (795) all_0_58_58 = e3 % 58.36/23.91 | % 58.36/23.91 | Combining equations (795,624) yields a new equation: % 58.36/23.91 | (661) e3 = e2 % 58.36/23.91 | % 58.36/23.91 | Simplifying 661 yields: % 58.36/23.91 | (662) e3 = e2 % 58.36/23.91 | % 58.36/23.91 | Equations (662) can reduce 212 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (664) ~ (all_0_51_51 = e3) % 58.36/23.91 | (1097) all_0_56_56 = e3 % 58.36/23.91 | % 58.36/23.91 | Combining equations (1097,842) yields a new equation: % 58.36/23.91 | (425) e4 = e3 % 58.36/23.91 | % 58.36/23.91 | Equations (425) can reduce 188 to: % 58.36/23.91 | (266) $false % 58.36/23.91 | % 58.36/23.91 |-The branch is then unsatisfiable % 58.36/23.91 |-Branch two: % 58.36/23.91 | (619) ~ (all_0_48_48 = e1) % 58.36/23.91 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (10222), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (1279) all_0_48_48 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (1279) can reduce 1283 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.92 | (615) all_0_48_48 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (615) can reduce 619 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (477) ~ (all_0_56_56 = e4) % 58.36/23.92 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (845), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (679) all_0_56_56 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (679) can reduce 828 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (828) ~ (all_0_56_56 = e0) % 58.36/23.92 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (3172), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (1569) all_0_56_56 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (1569) can reduce 466 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (466) ~ (all_0_56_56 = e1) % 58.36/23.92 | (1097) all_0_56_56 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (1097) can reduce 272 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (364) ~ (all_0_57_57 = e0) % 58.36/23.92 | (647) all_0_57_57 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (647) can reduce 1670 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (566) ~ (all_0_50_50 = e4) % 58.36/23.92 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (62), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (321) all_0_38_38 = e4 % 58.36/23.92 | % 58.36/23.92 | Combining equations (321,329) yields a new equation: % 58.36/23.92 | (481) e4 = e0 % 58.36/23.92 | % 58.36/23.92 | Simplifying 481 yields: % 58.36/23.92 | (397) e4 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (397) can reduce 49 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (325) ~ (all_0_38_38 = e4) % 58.36/23.92 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (1071), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (1101) all_0_51_51 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (1101) can reduce 59 to: % 58.36/23.92 | (566) ~ (all_0_50_50 = e4) % 58.36/23.92 | % 58.36/23.92 | Equations (1101) can reduce 6 to: % 58.36/23.92 | (1452) ~ (all_0_53_53 = e4) % 58.36/23.92 | % 58.36/23.92 | Simplifying 1452 yields: % 58.36/23.92 | (1453) ~ (all_0_53_53 = e4) % 58.36/23.92 | % 58.36/23.92 | Equations (1101) can reduce 1099 to: % 58.36/23.92 | (48) ~ (e4 = e2) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (582), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (437) all_0_41_41 = e4 % 58.36/23.92 | % 58.36/23.92 | Combining equations (403,437) yields a new equation: % 58.36/23.92 | (425) e4 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (425) can reduce 188 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (440) ~ (all_0_41_41 = e4) % 58.36/23.92 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (769), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (770) all_0_46_46 = e4 % 58.36/23.92 | % 58.36/23.92 | Combining equations (1794,770) yields a new equation: % 58.36/23.92 | (323) e4 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (323) can reduce 48 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (250) ~ (all_0_46_46 = e4) % 58.36/23.92 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (774), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (775) all_0_50_50 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (775) can reduce 566 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (566) ~ (all_0_50_50 = e4) % 58.36/23.92 | (587) all_0_55_55 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (587) can reduce 93 to: % 58.36/23.92 | (566) ~ (all_0_50_50 = e4) % 58.36/23.92 | % 58.36/23.92 | Equations (587) can reduce 270 to: % 58.36/23.92 | (188) ~ (e4 = e3) % 58.36/23.92 | % 58.36/23.92 | Equations (587) can reduce 304 to: % 58.36/23.92 | (48) ~ (e4 = e2) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (418), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (660) all_0_51_51 = e3 % 58.36/23.92 | % 58.36/23.92 | Combining equations (1101,660) yields a new equation: % 58.36/23.92 | (424) e4 = e3 % 58.36/23.92 | % 58.36/23.92 | Simplifying 424 yields: % 58.36/23.92 | (425) e4 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (425) can reduce 188 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (664) ~ (all_0_51_51 = e3) % 58.36/23.92 | (665) all_0_53_53 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (665) can reduce 65 to: % 58.36/23.92 | (525) ~ (all_0_49_49 = e3) % 58.36/23.92 | % 58.36/23.92 | Equations (665) can reduce 190 to: % 58.36/23.92 | (411) ~ (all_0_50_50 = e3) % 58.36/23.92 | % 58.36/23.92 | Equations (665) can reduce 1453 to: % 58.36/23.92 | (277) ~ (e4 = e3) % 58.36/23.92 | % 58.36/23.92 | Simplifying 277 yields: % 58.36/23.92 | (188) ~ (e4 = e3) % 58.36/23.92 | % 58.36/23.92 | Equations (665) can reduce 509 to: % 58.36/23.92 | (212) ~ (e3 = e2) % 58.36/23.92 | % 58.36/23.92 | Equations (665) can reduce 247 to: % 58.36/23.92 | (80) ~ (e3 = e0) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (160), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (601) all_0_50_50 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (601) can reduce 411 to: % 58.36/23.92 | (467) ~ (e3 = e1) % 58.36/23.92 | % 58.36/23.92 | Simplifying 467 yields: % 58.36/23.92 | (213) ~ (e3 = e1) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (78), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (423) all_0_45_45 = e3 % 58.36/23.92 | % 58.36/23.92 | Combining equations (423,248) yields a new equation: % 58.36/23.92 | (425) e4 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (425) can reduce 188 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (427) ~ (all_0_45_45 = e3) % 58.36/23.92 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (428), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (1557) all_0_46_46 = e3 % 58.36/23.92 | % 58.36/23.92 | Combining equations (1557,1794) yields a new equation: % 58.36/23.92 | (661) e3 = e2 % 58.36/23.92 | % 58.36/23.92 | Simplifying 661 yields: % 58.36/23.92 | (662) e3 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (662) can reduce 212 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (409) ~ (all_0_46_46 = e3) % 58.36/23.92 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (1561), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (522) all_0_47_47 = e3 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (163), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (565) all_0_52_52 = e4 % 58.36/23.92 | % 58.36/23.92 | Combining equations (352,565) yields a new equation: % 58.36/23.92 | (323) e4 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (323) can reduce 48 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (780) ~ (all_0_52_52 = e4) % 58.36/23.92 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (781), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (789), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (790), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (791), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (792), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.36/23.92 | % 58.36/23.92 | Applying alpha-rule on (793) yields: % 58.36/23.92 | (794) all_0_41_41 = e0 % 58.36/23.92 | (795) all_0_58_58 = e3 % 58.36/23.92 | (407) ~ (all_0_44_44 = e3) % 58.36/23.92 | % 58.36/23.92 | Combining equations (794,403) yields a new equation: % 58.36/23.92 | (676) e3 = e0 % 58.36/23.92 | % 58.36/23.92 | Combining equations (624,795) yields a new equation: % 58.36/23.92 | (662) e3 = e2 % 58.36/23.92 | % 58.36/23.92 | Combining equations (662,676) yields a new equation: % 58.36/23.92 | (391) e2 = e0 % 58.36/23.92 | % 58.36/23.92 | Simplifying 391 yields: % 58.36/23.92 | (330) e2 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (330) can reduce 128 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.36/23.92 | % 58.36/23.92 | Applying alpha-rule on (800) yields: % 58.36/23.92 | (794) all_0_41_41 = e0 % 58.36/23.92 | (795) all_0_58_58 = e3 % 58.36/23.92 | (803) ~ (all_0_55_55 = e0) % 58.36/23.92 | % 58.36/23.92 | Combining equations (794,403) yields a new equation: % 58.36/23.92 | (676) e3 = e0 % 58.36/23.92 | % 58.36/23.92 | Combining equations (624,795) yields a new equation: % 58.36/23.92 | (662) e3 = e2 % 58.36/23.92 | % 58.36/23.92 | Combining equations (662,676) yields a new equation: % 58.36/23.92 | (391) e2 = e0 % 58.36/23.92 | % 58.36/23.92 | Simplifying 391 yields: % 58.36/23.92 | (330) e2 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (330) can reduce 128 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.36/23.92 | % 58.36/23.92 | Applying alpha-rule on (807) yields: % 58.36/23.92 | (654) all_0_47_47 = e1 % 58.36/23.92 | (352) all_0_52_52 = e2 % 58.36/23.92 | (810) ~ (all_0_48_48 = e2) % 58.36/23.92 | % 58.36/23.92 | Combining equations (522,654) yields a new equation: % 58.36/23.92 | (454) e3 = e1 % 58.36/23.92 | % 58.36/23.92 | Simplifying 454 yields: % 58.36/23.92 | (455) e3 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (455) can reduce 213 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.36/23.92 | % 58.36/23.92 | Applying alpha-rule on (813) yields: % 58.36/23.92 | (654) all_0_47_47 = e1 % 58.36/23.92 | (352) all_0_52_52 = e2 % 58.36/23.92 | (464) ~ (all_0_51_51 = e1) % 58.36/23.92 | % 58.36/23.92 | Combining equations (522,654) yields a new equation: % 58.36/23.92 | (454) e3 = e1 % 58.36/23.92 | % 58.36/23.92 | Simplifying 454 yields: % 58.36/23.92 | (455) e3 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (455) can reduce 213 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.36/23.92 | % 58.36/23.92 | Applying alpha-rule on (819) yields: % 58.36/23.92 | (674) all_0_47_47 = e0 % 58.36/23.92 | (624) all_0_58_58 = e2 % 58.36/23.92 | (340) ~ (all_0_49_49 = e2) % 58.36/23.92 | % 58.36/23.92 | Combining equations (522,674) yields a new equation: % 58.36/23.92 | (675) e3 = e0 % 58.36/23.92 | % 58.36/23.92 | Simplifying 675 yields: % 58.36/23.92 | (676) e3 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (676) can reduce 80 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.36/23.92 | % 58.36/23.92 | Applying alpha-rule on (825) yields: % 58.36/23.92 | (674) all_0_47_47 = e0 % 58.36/23.92 | (624) all_0_58_58 = e2 % 58.36/23.92 | (828) ~ (all_0_56_56 = e0) % 58.36/23.92 | % 58.36/23.92 | Combining equations (522,674) yields a new equation: % 58.36/23.92 | (675) e3 = e0 % 58.36/23.92 | % 58.36/23.92 | Simplifying 675 yields: % 58.36/23.92 | (676) e3 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (676) can reduce 80 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (1091) ~ (all_0_47_47 = e3) % 58.36/23.92 | (884) all_0_49_49 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (884) can reduce 525 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (759) ~ (all_0_50_50 = e1) % 58.36/23.92 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (422), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (775) all_0_50_50 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (775) can reduce 566 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (566) ~ (all_0_50_50 = e4) % 58.36/23.92 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (1444), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (601) all_0_50_50 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (601) can reduce 759 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (759) ~ (all_0_50_50 = e1) % 58.36/23.92 | (415) all_0_50_50 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (415) can reduce 411 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (475) ~ (all_0_51_51 = e4) % 58.36/23.92 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (1294), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (565) all_0_52_52 = e4 % 58.36/23.92 | % 58.36/23.92 | Combining equations (565,352) yields a new equation: % 58.36/23.92 | (322) e4 = e2 % 58.36/23.92 | % 58.36/23.92 | Simplifying 322 yields: % 58.36/23.92 | (323) e4 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (323) can reduce 48 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (780) ~ (all_0_52_52 = e4) % 58.36/23.92 | (1298) all_0_53_53 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (1298) can reduce 1453 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (1898) ~ (all_0_41_41 = e3) % 58.36/23.92 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (1923), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (1557) all_0_46_46 = e3 % 58.36/23.92 | % 58.36/23.92 | Combining equations (1794,1557) yields a new equation: % 58.36/23.92 | (662) e3 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (662) can reduce 212 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (409) ~ (all_0_46_46 = e3) % 58.36/23.92 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (27), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (437) all_0_41_41 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (437) can reduce 440 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (440) ~ (all_0_41_41 = e4) % 58.36/23.92 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (4049), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (794) all_0_41_41 = e0 % 58.36/23.92 | % 58.36/23.92 | Equations (794) can reduce 357 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (357) ~ (all_0_41_41 = e0) % 58.36/23.92 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (4053), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (453) all_0_41_41 = e1 % 58.36/23.92 | % 58.36/23.92 | Equations (453) can reduce 214 to: % 58.36/23.92 | (4055) ~ (all_0_42_42 = e1) % 58.36/23.92 | % 58.36/23.92 | Simplifying 4055 yields: % 58.36/23.92 | (1380) ~ (all_0_42_42 = e1) % 58.36/23.92 | % 58.36/23.92 | Equations (453) can reduce 440 to: % 58.36/23.92 | (602) ~ (e4 = e1) % 58.36/23.92 | % 58.36/23.92 | Simplifying 602 yields: % 58.36/23.92 | (110) ~ (e4 = e1) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (4042), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (415) all_0_50_50 = e3 % 58.36/23.92 | % 58.36/23.92 | Equations (415) can reduce 190 to: % 58.36/23.92 | (1114) ~ (all_0_53_53 = e3) % 58.36/23.92 | % 58.36/23.92 | Simplifying 1114 yields: % 58.36/23.92 | (903) ~ (all_0_53_53 = e3) % 58.36/23.92 | % 58.36/23.92 | Equations (415) can reduce 93 to: % 58.36/23.92 | (269) ~ (all_0_55_55 = e3) % 58.36/23.92 | % 58.36/23.92 | Simplifying 269 yields: % 58.36/23.92 | (270) ~ (all_0_55_55 = e3) % 58.36/23.92 | % 58.36/23.92 | Equations (415) can reduce 121 to: % 58.36/23.92 | (80) ~ (e3 = e0) % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (196), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (607) all_0_53_53 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (607) can reduce 509 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (509) ~ (all_0_53_53 = e2) % 58.36/23.92 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (610), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (1298) all_0_53_53 = e4 % 58.36/23.92 | % 58.36/23.92 | Equations (1298) can reduce 1453 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (1453) ~ (all_0_53_53 = e4) % 58.36/23.92 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (174), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (386) all_0_55_55 = e2 % 58.36/23.92 | % 58.36/23.92 | Equations (386) can reduce 304 to: % 58.36/23.92 | (266) $false % 58.36/23.92 | % 58.36/23.92 |-The branch is then unsatisfiable % 58.36/23.92 |-Branch two: % 58.36/23.92 | (304) ~ (all_0_55_55 = e2) % 58.36/23.92 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.36/23.92 | % 58.36/23.92 +-Applying beta-rule and splitting (62), into two cases. % 58.36/23.92 |-Branch one: % 58.36/23.92 | (321) all_0_38_38 = e4 % 58.36/23.92 | % 58.36/23.92 | Combining equations (321,329) yields a new equation: % 58.36/23.92 | (481) e4 = e0 % 58.36/23.93 | % 58.36/23.93 | Simplifying 481 yields: % 58.36/23.93 | (397) e4 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (397) can reduce 49 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (325) ~ (all_0_38_38 = e4) % 58.36/23.93 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (582), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (437) all_0_41_41 = e4 % 58.36/23.93 | % 58.36/23.93 | Combining equations (437,453) yields a new equation: % 58.36/23.93 | (636) e4 = e1 % 58.36/23.93 | % 58.36/23.93 | Simplifying 636 yields: % 58.36/23.93 | (630) e4 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (630) can reduce 110 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (440) ~ (all_0_41_41 = e4) % 58.36/23.93 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (769), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (770) all_0_46_46 = e4 % 58.36/23.93 | % 58.36/23.93 | Combining equations (1794,770) yields a new equation: % 58.36/23.93 | (323) e4 = e2 % 58.36/23.93 | % 58.36/23.93 | Equations (323) can reduce 48 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (250) ~ (all_0_46_46 = e4) % 58.36/23.93 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (774), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (775) all_0_50_50 = e4 % 58.36/23.93 | % 58.36/23.93 | Combining equations (415,775) yields a new equation: % 58.36/23.93 | (425) e4 = e3 % 58.36/23.93 | % 58.36/23.93 | Equations (425) can reduce 188 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (566) ~ (all_0_50_50 = e4) % 58.36/23.93 | (587) all_0_55_55 = e4 % 58.36/23.93 | % 58.36/23.93 | Equations (587) can reduce 81 to: % 58.36/23.93 | (838) ~ (all_0_57_57 = e4) % 58.36/23.93 | % 58.36/23.93 | Simplifying 838 yields: % 58.36/23.93 | (839) ~ (all_0_57_57 = e4) % 58.36/23.93 | % 58.36/23.93 | Equations (587) can reduce 270 to: % 58.36/23.93 | (188) ~ (e4 = e3) % 58.36/23.93 | % 58.36/23.93 | Equations (587) can reduce 304 to: % 58.36/23.93 | (48) ~ (e4 = e2) % 58.36/23.93 | % 58.36/23.93 | From (587) and (74) follows: % 58.36/23.93 | (589) op(e0, e3) = e4 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (1694), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (1208) all_0_53_53 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (1208) can reduce 220 to: % 58.36/23.93 | (639) ~ (all_0_44_44 = e1) % 58.36/23.93 | % 58.36/23.93 | Equations (1208) can reduce 6 to: % 58.36/23.93 | (464) ~ (all_0_51_51 = e1) % 58.36/23.93 | % 58.36/23.93 | Equations (1208) can reduce 1453 to: % 58.36/23.93 | (602) ~ (e4 = e1) % 58.36/23.93 | % 58.36/23.93 | Simplifying 602 yields: % 58.36/23.93 | (110) ~ (e4 = e1) % 58.36/23.93 | % 58.36/23.93 | Equations (1208) can reduce 903 to: % 58.36/23.93 | (467) ~ (e3 = e1) % 58.36/23.93 | % 58.36/23.93 | Simplifying 467 yields: % 58.36/23.93 | (213) ~ (e3 = e1) % 58.36/23.93 | % 58.36/23.93 | Equations (1208) can reduce 247 to: % 58.36/23.93 | (233) ~ (e1 = e0) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (231), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (775) all_0_50_50 = e4 % 58.36/23.93 | % 58.36/23.93 | Combining equations (415,775) yields a new equation: % 58.36/23.93 | (425) e4 = e3 % 58.36/23.93 | % 58.36/23.93 | Equations (425) can reduce 188 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (566) ~ (all_0_50_50 = e4) % 58.36/23.93 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (164), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (471) all_0_39_39 = e4 % 58.36/23.93 | % 58.36/23.93 | Combining equations (471,317) yields a new equation: % 58.36/23.93 | (322) e4 = e2 % 58.36/23.93 | % 58.36/23.93 | Simplifying 322 yields: % 58.36/23.93 | (323) e4 = e2 % 58.36/23.93 | % 58.36/23.93 | Equations (323) can reduce 48 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (1377) ~ (all_0_39_39 = e4) % 58.36/23.93 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.36/23.93 | % 58.36/23.93 | Equations (317) can reduce 1377 to: % 58.36/23.93 | (327) ~ (e4 = e2) % 58.36/23.93 | % 58.36/23.93 | Simplifying 327 yields: % 58.36/23.93 | (48) ~ (e4 = e2) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (1071), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (1101) all_0_51_51 = e4 % 58.36/23.93 | % 58.36/23.93 | Equations (1101) can reduce 61 to: % 58.36/23.93 | (1890) ~ (all_0_42_42 = e4) % 58.36/23.93 | % 58.36/23.93 | Equations (1101) can reduce 1099 to: % 58.36/23.93 | (48) ~ (e4 = e2) % 58.36/23.93 | % 58.36/23.93 | Equations (1101) can reduce 464 to: % 58.36/23.93 | (110) ~ (e4 = e1) % 58.36/23.93 | % 58.36/23.93 | Equations (1101) can reduce 115 to: % 58.36/23.93 | (49) ~ (e4 = e0) % 58.36/23.93 | % 58.36/23.93 | From (1101) and (186) follows: % 58.36/23.93 | (13720) op(e1, e2) = e4 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (113), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (403) all_0_41_41 = e3 % 58.36/23.93 | % 58.36/23.93 | Combining equations (403,453) yields a new equation: % 58.36/23.93 | (454) e3 = e1 % 58.36/23.93 | % 58.36/23.93 | Simplifying 454 yields: % 58.36/23.93 | (455) e3 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (455) can reduce 213 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (1898) ~ (all_0_41_41 = e3) % 58.36/23.93 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (228), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (335) all_0_48_48 = e2 % 58.36/23.93 | % 58.36/23.93 | Equations (335) can reduce 810 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (810) ~ (all_0_48_48 = e2) % 58.36/23.93 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (216), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (629) all_0_55_55 = e1 % 58.36/23.93 | % 58.36/23.93 | Combining equations (629,587) yields a new equation: % 58.36/23.93 | (630) e4 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (630) can reduce 110 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (632) ~ (all_0_55_55 = e1) % 58.36/23.93 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (587) can reduce 632 to: % 58.36/23.93 | (110) ~ (e4 = e1) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (165), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (794) all_0_41_41 = e0 % 58.36/23.93 | % 58.36/23.93 | Combining equations (794,453) yields a new equation: % 58.36/23.93 | (431) e1 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (431) can reduce 233 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (357) ~ (all_0_41_41 = e0) % 58.36/23.93 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (131), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (459) all_0_42_42 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (459) can reduce 1380 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (1380) ~ (all_0_42_42 = e1) % 58.36/23.93 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (12), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (442) all_0_57_57 = e2 % 58.36/23.93 | % 58.36/23.93 | Equations (442) can reduce 344 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (344) ~ (all_0_57_57 = e2) % 58.36/23.93 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (189), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (532) all_0_44_44 = e3 % 58.36/23.93 | % 58.36/23.93 | Equations (532) can reduce 73 to: % 58.36/23.93 | (405) ~ (all_0_42_42 = e3) % 58.36/23.93 | % 58.36/23.93 | Equations (532) can reduce 9 to: % 58.36/23.93 | (524) ~ (all_0_49_49 = e3) % 58.36/23.93 | % 58.36/23.93 | Simplifying 524 yields: % 58.36/23.93 | (525) ~ (all_0_49_49 = e3) % 58.36/23.93 | % 58.36/23.93 | Equations (532) can reduce 1390 to: % 58.36/23.93 | (277) ~ (e4 = e3) % 58.36/23.93 | % 58.36/23.93 | Simplifying 277 yields: % 58.36/23.93 | (188) ~ (e4 = e3) % 58.36/23.93 | % 58.36/23.93 | Equations (532) can reduce 147 to: % 58.36/23.93 | (212) ~ (e3 = e2) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (180), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (516) all_0_42_42 = e3 % 58.36/23.93 | % 58.36/23.93 | Equations (516) can reduce 405 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (405) ~ (all_0_42_42 = e3) % 58.36/23.93 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (6761), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (559) all_0_42_42 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (559) can reduce 236 to: % 58.36/23.93 | (1181) ~ (all_0_56_56 = e0) % 58.36/23.93 | % 58.36/23.93 | Simplifying 1181 yields: % 58.36/23.93 | (828) ~ (all_0_56_56 = e0) % 58.36/23.93 | % 58.36/23.93 | Equations (559) can reduce 1890 to: % 58.36/23.93 | (401) ~ (e4 = e0) % 58.36/23.93 | % 58.36/23.93 | Simplifying 401 yields: % 58.36/23.93 | (49) ~ (e4 = e0) % 58.36/23.93 | % 58.36/23.93 | Equations (559) can reduce 51 to: % 58.36/23.93 | (365) ~ (e2 = e0) % 58.36/23.93 | % 58.36/23.93 | Simplifying 365 yields: % 58.36/23.93 | (128) ~ (e2 = e0) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (521), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (522) all_0_47_47 = e3 % 58.36/23.93 | % 58.36/23.93 | Equations (522) can reduce 114 to: % 58.36/23.93 | (23024) ~ (all_0_48_48 = e3) % 58.36/23.93 | % 58.36/23.93 | Simplifying 23024 yields: % 58.36/23.93 | (215) ~ (all_0_48_48 = e3) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (163), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (565) all_0_52_52 = e4 % 58.36/23.93 | % 58.36/23.93 | Combining equations (352,565) yields a new equation: % 58.36/23.93 | (323) e4 = e2 % 58.36/23.93 | % 58.36/23.93 | Equations (323) can reduce 48 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (780) ~ (all_0_52_52 = e4) % 58.36/23.93 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (125), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (858) all_0_55_55 = e0 % 58.36/23.93 | % 58.36/23.93 | Combining equations (587,858) yields a new equation: % 58.36/23.93 | (481) e4 = e0 % 58.36/23.93 | % 58.36/23.93 | Simplifying 481 yields: % 58.36/23.93 | (397) e4 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (397) can reduce 49 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (803) ~ (all_0_55_55 = e0) % 58.36/23.93 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (587) can reduce 803 to: % 58.36/23.93 | (49) ~ (e4 = e0) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (75), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (485) all_0_40_40 = e0 % 58.36/23.93 | % 58.36/23.93 | Combining equations (485,1378) yields a new equation: % 58.36/23.93 | (397) e4 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (397) can reduce 49 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (1401) ~ (all_0_40_40 = e0) % 58.36/23.93 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (863), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (679) all_0_56_56 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (679) can reduce 828 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (828) ~ (all_0_56_56 = e0) % 58.36/23.93 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (924), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (875) all_0_57_57 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (875) can reduce 239 to: % 58.36/23.93 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.93 | % 58.36/23.93 | Equations (875) can reduce 67 to: % 58.36/23.93 | (541) ~ (e3 = e0) % 58.36/23.93 | % 58.36/23.93 | Simplifying 541 yields: % 58.36/23.93 | (80) ~ (e3 = e0) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (1748), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (1414) all_0_44_44 = e0 % 58.36/23.93 | % 58.36/23.93 | Combining equations (532,1414) yields a new equation: % 58.36/23.93 | (675) e3 = e0 % 58.36/23.93 | % 58.36/23.93 | Simplifying 675 yields: % 58.36/23.93 | (676) e3 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (676) can reduce 80 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (360) ~ (all_0_44_44 = e0) % 58.36/23.93 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (532) can reduce 360 to: % 58.36/23.93 | (80) ~ (e3 = e0) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (10218), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (943) all_0_48_48 = e4 % 58.36/23.93 | % 58.36/23.93 | Equations (943) can reduce 254 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (254) ~ (all_0_48_48 = e4) % 58.36/23.93 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (10222), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (1279) all_0_48_48 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (1279) can reduce 1283 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.93 | (615) all_0_48_48 = e1 % 58.36/23.93 | % 58.36/23.93 | Equations (615) can reduce 215 to: % 58.36/23.93 | (467) ~ (e3 = e1) % 58.36/23.93 | % 58.36/23.93 | Simplifying 467 yields: % 58.36/23.93 | (213) ~ (e3 = e1) % 58.36/23.93 | % 58.36/23.93 | Equations (615) can reduce 1283 to: % 58.36/23.93 | (233) ~ (e1 = e0) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (781), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (789), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (790), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (791), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.36/23.93 | % 58.36/23.93 +-Applying beta-rule and splitting (792), into two cases. % 58.36/23.93 |-Branch one: % 58.36/23.93 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.36/23.93 | % 58.36/23.93 | Applying alpha-rule on (793) yields: % 58.36/23.93 | (794) all_0_41_41 = e0 % 58.36/23.93 | (795) all_0_58_58 = e3 % 58.36/23.93 | (407) ~ (all_0_44_44 = e3) % 58.36/23.93 | % 58.36/23.93 | Combining equations (453,794) yields a new equation: % 58.36/23.93 | (546) e1 = e0 % 58.36/23.93 | % 58.36/23.93 | Simplifying 546 yields: % 58.36/23.93 | (431) e1 = e0 % 58.36/23.93 | % 58.36/23.93 | Equations (431) can reduce 233 to: % 58.36/23.93 | (266) $false % 58.36/23.93 | % 58.36/23.93 |-The branch is then unsatisfiable % 58.36/23.93 |-Branch two: % 58.36/23.93 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.36/23.94 | % 58.36/23.94 | Applying alpha-rule on (800) yields: % 58.36/23.94 | (794) all_0_41_41 = e0 % 58.36/23.94 | (795) all_0_58_58 = e3 % 58.36/23.94 | (803) ~ (all_0_55_55 = e0) % 58.36/23.94 | % 58.36/23.94 | Combining equations (453,794) yields a new equation: % 58.36/23.94 | (546) e1 = e0 % 58.36/23.94 | % 58.36/23.94 | Simplifying 546 yields: % 58.36/23.94 | (431) e1 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (431) can reduce 233 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.36/23.94 | % 58.36/23.94 | Applying alpha-rule on (807) yields: % 58.36/23.94 | (654) all_0_47_47 = e1 % 58.36/23.94 | (352) all_0_52_52 = e2 % 58.36/23.94 | (810) ~ (all_0_48_48 = e2) % 58.36/23.94 | % 58.36/23.94 | Combining equations (654,522) yields a new equation: % 58.36/23.94 | (455) e3 = e1 % 58.36/23.94 | % 58.36/23.94 | Equations (455) can reduce 213 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.36/23.94 | % 58.36/23.94 | Applying alpha-rule on (813) yields: % 58.36/23.94 | (654) all_0_47_47 = e1 % 58.36/23.94 | (352) all_0_52_52 = e2 % 58.36/23.94 | (464) ~ (all_0_51_51 = e1) % 58.36/23.94 | % 58.36/23.94 | Combining equations (654,522) yields a new equation: % 58.36/23.94 | (455) e3 = e1 % 58.36/23.94 | % 58.36/23.94 | Equations (455) can reduce 213 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.36/23.94 | % 58.36/23.94 | Applying alpha-rule on (819) yields: % 58.36/23.94 | (674) all_0_47_47 = e0 % 58.36/23.94 | (624) all_0_58_58 = e2 % 58.36/23.94 | (340) ~ (all_0_49_49 = e2) % 58.36/23.94 | % 58.36/23.94 | Combining equations (674,522) yields a new equation: % 58.36/23.94 | (676) e3 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (676) can reduce 80 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.36/23.94 | % 58.36/23.94 | Applying alpha-rule on (825) yields: % 58.36/23.94 | (674) all_0_47_47 = e0 % 58.36/23.94 | (624) all_0_58_58 = e2 % 58.36/23.94 | (828) ~ (all_0_56_56 = e0) % 58.36/23.94 | % 58.36/23.94 | Combining equations (674,522) yields a new equation: % 58.36/23.94 | (676) e3 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (676) can reduce 80 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (364) ~ (all_0_57_57 = e0) % 58.36/23.94 | (914) all_0_58_58 = e0 % 58.36/23.94 | % 58.36/23.94 | Combining equations (624,914) yields a new equation: % 58.36/23.94 | (391) e2 = e0 % 58.36/23.94 | % 58.36/23.94 | Simplifying 391 yields: % 58.36/23.94 | (330) e2 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (330) can reduce 128 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (1091) ~ (all_0_47_47 = e3) % 58.36/23.94 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (78), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (423) all_0_45_45 = e3 % 58.36/23.94 | % 58.36/23.94 | Combining equations (248,423) yields a new equation: % 58.36/23.94 | (424) e4 = e3 % 58.36/23.94 | % 58.36/23.94 | Simplifying 424 yields: % 58.36/23.94 | (425) e4 = e3 % 58.36/23.94 | % 58.36/23.94 | Equations (425) can reduce 188 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (427) ~ (all_0_45_45 = e3) % 58.36/23.94 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (428), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (1557) all_0_46_46 = e3 % 58.36/23.94 | % 58.36/23.94 | Combining equations (1794,1557) yields a new equation: % 58.36/23.94 | (662) e3 = e2 % 58.36/23.94 | % 58.36/23.94 | Equations (662) can reduce 212 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (409) ~ (all_0_46_46 = e3) % 58.36/23.94 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (1561), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (522) all_0_47_47 = e3 % 58.36/23.94 | % 58.36/23.94 | Equations (522) can reduce 1091 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (1091) ~ (all_0_47_47 = e3) % 58.36/23.94 | (884) all_0_49_49 = e3 % 58.36/23.94 | % 58.36/23.94 | Equations (884) can reduce 525 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (358) ~ (all_0_42_42 = e0) % 58.36/23.94 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (75), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (485) all_0_40_40 = e0 % 58.36/23.94 | % 58.36/23.94 | Combining equations (485,1378) yields a new equation: % 58.36/23.94 | (397) e4 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (397) can reduce 49 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (1401) ~ (all_0_40_40 = e0) % 58.36/23.94 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (1748), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (1414) all_0_44_44 = e0 % 58.36/23.94 | % 58.36/23.94 | Combining equations (1414,532) yields a new equation: % 58.36/23.94 | (676) e3 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (676) can reduce 80 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (360) ~ (all_0_44_44 = e0) % 58.36/23.94 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (1760), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (978) all_0_49_49 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (978) can reduce 185 to: % 58.36/23.94 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (5471), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (1279) all_0_48_48 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (1279) can reduce 1283 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (1283) ~ (all_0_48_48 = e0) % 58.36/23.94 | (875) all_0_57_57 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (875) can reduce 839 to: % 58.36/23.94 | (401) ~ (e4 = e0) % 58.36/23.94 | % 58.36/23.94 | Simplifying 401 yields: % 58.36/23.94 | (49) ~ (e4 = e0) % 58.36/23.94 | % 58.36/23.94 | Equations (875) can reduce 67 to: % 58.36/23.94 | (541) ~ (e3 = e0) % 58.36/23.94 | % 58.36/23.94 | Simplifying 541 yields: % 58.36/23.94 | (80) ~ (e3 = e0) % 58.36/23.94 | % 58.36/23.94 +-Applying beta-rule and splitting (6766), into two cases. % 58.36/23.94 |-Branch one: % 58.36/23.94 | (356) all_0_43_43 = e0 % 58.36/23.94 | % 58.36/23.94 | Combining equations (356,396) yields a new equation: % 58.36/23.94 | (397) e4 = e0 % 58.36/23.94 | % 58.36/23.94 | Equations (397) can reduce 49 to: % 58.36/23.94 | (266) $false % 58.36/23.94 | % 58.36/23.94 |-The branch is then unsatisfiable % 58.36/23.94 |-Branch two: % 58.36/23.94 | (5470) ~ (all_0_43_43 = e0) % 58.36/23.94 | (1414) all_0_44_44 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (532,1414) yields a new equation: % 58.53/23.94 | (675) e3 = e0 % 58.53/23.94 | % 58.53/23.94 | Simplifying 675 yields: % 58.53/23.94 | (676) e3 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (676) can reduce 80 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (487) ~ (all_0_49_49 = e0) % 58.53/23.94 | (914) all_0_58_58 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (624,914) yields a new equation: % 58.53/23.94 | (391) e2 = e0 % 58.53/23.94 | % 58.53/23.94 | Simplifying 391 yields: % 58.53/23.94 | (330) e2 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (330) can reduce 128 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (407) ~ (all_0_44_44 = e3) % 58.53/23.94 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (1899), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (516) all_0_42_42 = e3 % 58.53/23.94 | % 58.53/23.94 | Equations (516) can reduce 51 to: % 58.53/23.94 | (212) ~ (e3 = e2) % 58.53/23.94 | % 58.53/23.94 | Equations (516) can reduce 1380 to: % 58.53/23.94 | (213) ~ (e3 = e1) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (537), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (884) all_0_49_49 = e3 % 58.53/23.94 | % 58.53/23.94 | Equations (884) can reduce 185 to: % 58.53/23.94 | (215) ~ (all_0_48_48 = e3) % 58.53/23.94 | % 58.53/23.94 | From (884) and (55) follows: % 58.53/23.94 | (1581) op(e2, e0) = e3 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (6761), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (559) all_0_42_42 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (559,516) yields a new equation: % 58.53/23.94 | (676) e3 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (676) can reduce 80 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (358) ~ (all_0_42_42 = e0) % 58.53/23.94 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (75), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (485) all_0_40_40 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (485,1378) yields a new equation: % 58.53/23.94 | (397) e4 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (397) can reduce 49 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (1401) ~ (all_0_40_40 = e0) % 58.53/23.94 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (1378) can reduce 1401 to: % 58.53/23.94 | (49) ~ (e4 = e0) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (6766), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (356) all_0_43_43 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (356,396) yields a new equation: % 58.53/23.94 | (397) e4 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (397) can reduce 49 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (5470) ~ (all_0_43_43 = e0) % 58.53/23.94 | (1414) all_0_44_44 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (1414) can reduce 147 to: % 58.53/23.94 | (365) ~ (e2 = e0) % 58.53/23.94 | % 58.53/23.94 | Simplifying 365 yields: % 58.53/23.94 | (128) ~ (e2 = e0) % 58.53/23.94 | % 58.53/23.94 | Equations (1414) can reduce 639 to: % 58.53/23.94 | (435) ~ (e1 = e0) % 58.53/23.94 | % 58.53/23.94 | Simplifying 435 yields: % 58.53/23.94 | (233) ~ (e1 = e0) % 58.53/23.94 | % 58.53/23.94 | From (1414) and (138) follows: % 58.53/23.94 | (1667) op(e3, e0) = e0 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (184), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (538) all_0_46_46 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (1794,538) yields a new equation: % 58.53/23.94 | (391) e2 = e0 % 58.53/23.94 | % 58.53/23.94 | Simplifying 391 yields: % 58.53/23.94 | (330) e2 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (330) can reduce 128 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (831) ~ (all_0_46_46 = e0) % 58.53/23.94 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (1794) can reduce 831 to: % 58.53/23.94 | (128) ~ (e2 = e0) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (130), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (430) all_0_43_43 = e1 % 58.53/23.94 | % 58.53/23.94 | Combining equations (430,396) yields a new equation: % 58.53/23.94 | (630) e4 = e1 % 58.53/23.94 | % 58.53/23.94 | Equations (630) can reduce 110 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (433) ~ (all_0_43_43 = e1) % 58.53/23.94 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (104), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (480) all_0_39_39 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (480,317) yields a new equation: % 58.53/23.94 | (330) e2 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (330) can reduce 128 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (484) ~ (all_0_39_39 = e0) % 58.53/23.94 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (133), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (833) all_0_56_56 = e2 % 58.53/23.94 | % 58.53/23.94 | Equations (833) can reduce 511 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (511) ~ (all_0_56_56 = e2) % 58.53/23.94 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (163), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (565) all_0_52_52 = e4 % 58.53/23.94 | % 58.53/23.94 | Combining equations (352,565) yields a new equation: % 58.53/23.94 | (323) e4 = e2 % 58.53/23.94 | % 58.53/23.94 | Equations (323) can reduce 48 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (780) ~ (all_0_52_52 = e4) % 58.53/23.94 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (56), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (696) unit = e2 % 58.53/23.94 | % 58.53/23.94 | From (696) and (24) follows: % 58.53/23.94 | (697) op(e2, e3) = e3 % 58.53/23.94 | % 58.53/23.94 | From (696) and (209) follows: % 58.53/23.94 | (7585) op(e2, e0) = e0 % 58.53/23.94 | % 58.53/23.94 | From (696) and (227) follows: % 58.53/23.94 | (4284) op(e4, e2) = e4 % 58.53/23.94 | % 58.53/23.94 | From (696) and (28) follows: % 58.53/23.94 | (699) op(e1, e2) = e1 % 58.53/23.94 | % 58.53/23.94 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.53/23.94 | (323) e4 = e2 % 58.53/23.94 | % 58.53/23.94 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.53/23.94 | (662) e3 = e2 % 58.53/23.94 | % 58.53/23.94 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.53/23.94 | (676) e3 = e0 % 58.53/23.94 | % 58.53/23.94 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.53/23.94 | (630) e4 = e1 % 58.53/23.94 | % 58.53/23.94 | Combining equations (323,630) yields a new equation: % 58.53/23.94 | (616) e2 = e1 % 58.53/23.94 | % 58.53/23.94 | Simplifying 616 yields: % 58.53/23.94 | (617) e2 = e1 % 58.53/23.94 | % 58.53/23.94 | Combining equations (676,662) yields a new equation: % 58.53/23.94 | (330) e2 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (330,617) yields a new equation: % 58.53/23.94 | (431) e1 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (431) can reduce 233 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (707) ~ (unit = e2) % 58.53/23.94 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (5471), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (1279) all_0_48_48 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (1279) can reduce 114 to: % 58.53/23.94 | (678) ~ (all_0_47_47 = e0) % 58.53/23.94 | % 58.53/23.94 | Equations (1279) can reduce 215 to: % 58.53/23.94 | (541) ~ (e3 = e0) % 58.53/23.94 | % 58.53/23.94 | Simplifying 541 yields: % 58.53/23.94 | (80) ~ (e3 = e0) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (558), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (559) all_0_42_42 = e0 % 58.53/23.94 | % 58.53/23.94 | Combining equations (559,516) yields a new equation: % 58.53/23.94 | (676) e3 = e0 % 58.53/23.94 | % 58.53/23.94 | Equations (676) can reduce 80 to: % 58.53/23.94 | (266) $false % 58.53/23.94 | % 58.53/23.94 |-The branch is then unsatisfiable % 58.53/23.94 |-Branch two: % 58.53/23.94 | (358) ~ (all_0_42_42 = e0) % 58.53/23.94 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (781), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (789), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.53/23.94 | % 58.53/23.94 +-Applying beta-rule and splitting (790), into two cases. % 58.53/23.94 |-Branch one: % 58.53/23.94 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (791), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (792), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.53/23.95 | % 58.53/23.95 | Applying alpha-rule on (793) yields: % 58.53/23.95 | (794) all_0_41_41 = e0 % 58.53/23.95 | (795) all_0_58_58 = e3 % 58.53/23.95 | (407) ~ (all_0_44_44 = e3) % 58.53/23.95 | % 58.53/23.95 | Combining equations (794,453) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.53/23.95 | % 58.53/23.95 | Applying alpha-rule on (800) yields: % 58.53/23.95 | (794) all_0_41_41 = e0 % 58.53/23.95 | (795) all_0_58_58 = e3 % 58.53/23.95 | (803) ~ (all_0_55_55 = e0) % 58.53/23.95 | % 58.53/23.95 | Combining equations (794,453) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.53/23.95 | % 58.53/23.95 | Applying alpha-rule on (807) yields: % 58.53/23.95 | (654) all_0_47_47 = e1 % 58.53/23.95 | (352) all_0_52_52 = e2 % 58.53/23.95 | (810) ~ (all_0_48_48 = e2) % 58.53/23.95 | % 58.53/23.95 | Equations (654) can reduce 678 to: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (445), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (871) all_0_57_57 = e4 % 58.53/23.95 | % 58.53/23.95 | Equations (871) can reduce 839 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (839) ~ (all_0_57_57 = e4) % 58.53/23.95 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (434), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (615) all_0_48_48 = e1 % 58.53/23.95 | % 58.53/23.95 | Combining equations (1279,615) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (619) ~ (all_0_48_48 = e1) % 58.53/23.95 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.53/23.95 | % 58.53/23.95 | Equations (1279) can reduce 619 to: % 58.53/23.95 | (435) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 | Simplifying 435 yields: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (563), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (674) all_0_47_47 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (674,654) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (678) ~ (all_0_47_47 = e0) % 58.53/23.95 | (679) all_0_56_56 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (679) can reduce 140 to: % 58.53/23.95 | (363) ~ (all_0_57_57 = e0) % 58.53/23.95 | % 58.53/23.95 | Simplifying 363 yields: % 58.53/23.95 | (364) ~ (all_0_57_57 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (874), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (875) all_0_57_57 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (875) can reduce 364 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (364) ~ (all_0_57_57 = e0) % 58.53/23.95 | (647) all_0_57_57 = e1 % 58.53/23.95 | % 58.53/23.95 | Equations (647) can reduce 364 to: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (708), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (709) unit = e4 % 58.53/23.95 | % 58.53/23.95 | From (709) and (211) follows: % 58.53/23.95 | (22527) op(e4, e1) = e1 % 58.53/23.95 | % 58.53/23.95 | From (709) and (42) follows: % 58.53/23.95 | (713) op(e0, e4) = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.53/23.95 | (455) e3 = e1 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.53/23.95 | (676) e3 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (455,676) yields a new equation: % 58.53/23.95 | (546) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Simplifying 546 yields: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (724) ~ (unit = e4) % 58.53/23.95 | (725) unit = e3 | unit = e1 | unit = e0 % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (725), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (726) unit = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (726) can reduce 707 to: % 58.53/23.95 | (365) ~ (e2 = e0) % 58.53/23.95 | % 58.53/23.95 | Simplifying 365 yields: % 58.53/23.95 | (128) ~ (e2 = e0) % 58.53/23.95 | % 58.53/23.95 | From (726) and (40) follows: % 58.53/23.95 | (1639) op(e3, e0) = e3 % 58.53/23.95 | % 58.53/23.95 | From (726) and (32) follows: % 58.53/23.95 | (727) op(e2, e0) = e2 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.53/23.95 | (676) e3 = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 58.53/23.95 | (662) e3 = e2 % 58.53/23.95 | % 58.53/23.95 | Combining equations (662,676) yields a new equation: % 58.53/23.95 | (391) e2 = e0 % 58.53/23.95 | % 58.53/23.95 | Simplifying 391 yields: % 58.53/23.95 | (330) e2 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (330) can reduce 128 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (734) ~ (unit = e0) % 58.53/23.95 | (735) unit = e3 | unit = e1 % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (735), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (736) unit = e1 % 58.53/23.95 | % 58.53/23.95 | Equations (736) can reduce 734 to: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 | From (736) and (244) follows: % 58.53/23.95 | (738) op(e1, e4) = e4 % 58.53/23.95 | % 58.53/23.95 | From (736) and (15) follows: % 58.53/23.95 | (515) op(e1, e2) = e2 % 58.53/23.95 | % 58.53/23.95 | From (736) and (28) follows: % 58.53/23.95 | (740) op(e1, e1) = e1 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.53/23.95 | (397) e4 = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.53/23.95 | (323) e4 = e2 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.53/23.95 | (617) e2 = e1 % 58.53/23.95 | % 58.53/23.95 | Combining equations (397,323) yields a new equation: % 58.53/23.95 | (330) e2 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (617,330) yields a new equation: % 58.53/23.95 | (546) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Simplifying 546 yields: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (748) ~ (unit = e1) % 58.53/23.95 | (749) unit = e3 % 58.53/23.95 | % 58.53/23.95 | From (749) and (211) follows: % 58.53/23.95 | (13877) op(e3, e1) = e1 % 58.53/23.95 | % 58.53/23.95 | From (749) and (42) follows: % 58.53/23.95 | (752) op(e0, e3) = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 58.53/23.95 | (630) e4 = e1 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.53/23.95 | (397) e4 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (397,630) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.53/23.95 | % 58.53/23.95 | Applying alpha-rule on (813) yields: % 58.53/23.95 | (654) all_0_47_47 = e1 % 58.53/23.95 | (352) all_0_52_52 = e2 % 58.53/23.95 | (464) ~ (all_0_51_51 = e1) % 58.53/23.95 | % 58.53/23.95 | Equations (654) can reduce 678 to: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (445), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (871) all_0_57_57 = e4 % 58.53/23.95 | % 58.53/23.95 | Equations (871) can reduce 839 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (839) ~ (all_0_57_57 = e4) % 58.53/23.95 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (434), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (615) all_0_48_48 = e1 % 58.53/23.95 | % 58.53/23.95 | Combining equations (1279,615) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (619) ~ (all_0_48_48 = e1) % 58.53/23.95 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.53/23.95 | % 58.53/23.95 | Equations (1279) can reduce 619 to: % 58.53/23.95 | (435) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 | Simplifying 435 yields: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (563), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (674) all_0_47_47 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (674,654) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (678) ~ (all_0_47_47 = e0) % 58.53/23.95 | (679) all_0_56_56 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (679) can reduce 140 to: % 58.53/23.95 | (363) ~ (all_0_57_57 = e0) % 58.53/23.95 | % 58.53/23.95 | Simplifying 363 yields: % 58.53/23.95 | (364) ~ (all_0_57_57 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (874), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (875) all_0_57_57 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (875) can reduce 364 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (364) ~ (all_0_57_57 = e0) % 58.53/23.95 | (647) all_0_57_57 = e1 % 58.53/23.95 | % 58.53/23.95 | Equations (647) can reduce 364 to: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (708), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (709) unit = e4 % 58.53/23.95 | % 58.53/23.95 | From (709) and (211) follows: % 58.53/23.95 | (22527) op(e4, e1) = e1 % 58.53/23.95 | % 58.53/23.95 | From (709) and (42) follows: % 58.53/23.95 | (713) op(e0, e4) = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.53/23.95 | (455) e3 = e1 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.53/23.95 | (676) e3 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (455,676) yields a new equation: % 58.53/23.95 | (546) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Simplifying 546 yields: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (724) ~ (unit = e4) % 58.53/23.95 | (725) unit = e3 | unit = e1 | unit = e0 % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (725), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (726) unit = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (726) can reduce 707 to: % 58.53/23.95 | (365) ~ (e2 = e0) % 58.53/23.95 | % 58.53/23.95 | Simplifying 365 yields: % 58.53/23.95 | (128) ~ (e2 = e0) % 58.53/23.95 | % 58.53/23.95 | From (726) and (40) follows: % 58.53/23.95 | (1639) op(e3, e0) = e3 % 58.53/23.95 | % 58.53/23.95 | From (726) and (32) follows: % 58.53/23.95 | (727) op(e2, e0) = e2 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.53/23.95 | (676) e3 = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 58.53/23.95 | (662) e3 = e2 % 58.53/23.95 | % 58.53/23.95 | Combining equations (662,676) yields a new equation: % 58.53/23.95 | (391) e2 = e0 % 58.53/23.95 | % 58.53/23.95 | Simplifying 391 yields: % 58.53/23.95 | (330) e2 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (330) can reduce 128 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (734) ~ (unit = e0) % 58.53/23.95 | (735) unit = e3 | unit = e1 % 58.53/23.95 | % 58.53/23.95 +-Applying beta-rule and splitting (735), into two cases. % 58.53/23.95 |-Branch one: % 58.53/23.95 | (736) unit = e1 % 58.53/23.95 | % 58.53/23.95 | Equations (736) can reduce 734 to: % 58.53/23.95 | (233) ~ (e1 = e0) % 58.53/23.95 | % 58.53/23.95 | From (736) and (244) follows: % 58.53/23.95 | (738) op(e1, e4) = e4 % 58.53/23.95 | % 58.53/23.95 | From (736) and (15) follows: % 58.53/23.95 | (515) op(e1, e2) = e2 % 58.53/23.95 | % 58.53/23.95 | From (736) and (28) follows: % 58.53/23.95 | (740) op(e1, e1) = e1 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.53/23.95 | (397) e4 = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.53/23.95 | (323) e4 = e2 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.53/23.95 | (617) e2 = e1 % 58.53/23.95 | % 58.53/23.95 | Combining equations (397,323) yields a new equation: % 58.53/23.95 | (330) e2 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (617,330) yields a new equation: % 58.53/23.95 | (546) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Simplifying 546 yields: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (748) ~ (unit = e1) % 58.53/23.95 | (749) unit = e3 % 58.53/23.95 | % 58.53/23.95 | From (749) and (211) follows: % 58.53/23.95 | (13877) op(e3, e1) = e1 % 58.53/23.95 | % 58.53/23.95 | From (749) and (42) follows: % 58.53/23.95 | (752) op(e0, e3) = e0 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 58.53/23.95 | (630) e4 = e1 % 58.53/23.95 | % 58.53/23.95 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.53/23.95 | (397) e4 = e0 % 58.53/23.95 | % 58.53/23.95 | Combining equations (397,630) yields a new equation: % 58.53/23.95 | (431) e1 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (431) can reduce 233 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.53/23.95 | % 58.53/23.95 | Applying alpha-rule on (819) yields: % 58.53/23.95 | (674) all_0_47_47 = e0 % 58.53/23.95 | (624) all_0_58_58 = e2 % 58.53/23.95 | (340) ~ (all_0_49_49 = e2) % 58.53/23.95 | % 58.53/23.95 | Equations (674) can reduce 678 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.53/23.95 | % 58.53/23.95 | Applying alpha-rule on (825) yields: % 58.53/23.95 | (674) all_0_47_47 = e0 % 58.53/23.95 | (624) all_0_58_58 = e2 % 58.53/23.95 | (828) ~ (all_0_56_56 = e0) % 58.53/23.95 | % 58.53/23.95 | Equations (674) can reduce 678 to: % 58.53/23.95 | (266) $false % 58.53/23.95 | % 58.53/23.95 |-The branch is then unsatisfiable % 58.53/23.95 |-Branch two: % 58.53/23.95 | (1283) ~ (all_0_48_48 = e0) % 58.53/23.95 | (875) all_0_57_57 = e0 % 58.53/23.95 | % 58.53/23.95 | Equations (875) can reduce 239 to: % 58.53/23.95 | (1283) ~ (all_0_48_48 = e0) % 58.53/23.95 | % 58.53/23.95 | Equations (875) can reduce 140 to: % 58.53/23.95 | (828) ~ (all_0_56_56 = e0) % 58.53/23.95 | % 58.53/23.96 +-Applying beta-rule and splitting (10218), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (943) all_0_48_48 = e4 % 58.53/23.96 | % 58.53/23.96 | Equations (943) can reduce 254 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (254) ~ (all_0_48_48 = e4) % 58.53/23.96 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (633), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (1569) all_0_56_56 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (1569) can reduce 511 to: % 58.53/23.96 | (604) ~ (e2 = e1) % 58.53/23.96 | % 58.53/23.96 | Simplifying 604 yields: % 58.53/23.96 | (122) ~ (e2 = e1) % 58.53/23.96 | % 58.53/23.96 | Equations (1569) can reduce 828 to: % 58.53/23.96 | (233) ~ (e1 = e0) % 58.53/23.96 | % 58.53/23.96 | From (1569) and (111) follows: % 58.53/23.96 | (3175) op(e0, e2) = e1 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (434), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (615) all_0_48_48 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (615) can reduce 114 to: % 58.53/23.96 | (462) ~ (all_0_47_47 = e1) % 58.53/23.96 | % 58.53/23.96 | Equations (615) can reduce 1283 to: % 58.53/23.96 | (233) ~ (e1 = e0) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (832), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (674) all_0_47_47 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (674) can reduce 462 to: % 58.53/23.96 | (435) ~ (e1 = e0) % 58.53/23.96 | % 58.53/23.96 | Simplifying 435 yields: % 58.53/23.96 | (233) ~ (e1 = e0) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (708), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (709) unit = e4 % 58.53/23.96 | % 58.53/23.96 | From (709) and (211) follows: % 58.53/23.96 | (22527) op(e4, e1) = e1 % 58.53/23.96 | % 58.53/23.96 | From (709) and (42) follows: % 58.53/23.96 | (713) op(e0, e4) = e0 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.53/23.96 | (455) e3 = e1 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.53/23.96 | (676) e3 = e0 % 58.53/23.96 | % 58.53/23.96 | Combining equations (455,676) yields a new equation: % 58.53/23.96 | (546) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Simplifying 546 yields: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (724) ~ (unit = e4) % 58.53/23.96 | (725) unit = e3 | unit = e1 | unit = e0 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (725), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (726) unit = e0 % 58.53/23.96 | % 58.53/23.96 | From (726) and (15) follows: % 58.53/23.96 | (1508) op(e0, e2) = e2 % 58.53/23.96 | % 58.53/23.96 | From (726) and (40) follows: % 58.53/23.96 | (1639) op(e3, e0) = e3 % 58.53/23.96 | % 58.53/23.96 | From (726) and (32) follows: % 58.53/23.96 | (727) op(e2, e0) = e2 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.53/23.96 | (676) e3 = e0 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 58.53/23.96 | (662) e3 = e2 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 58.53/23.96 | (617) e2 = e1 % 58.53/23.96 | % 58.53/23.96 | Combining equations (676,662) yields a new equation: % 58.53/23.96 | (330) e2 = e0 % 58.53/23.96 | % 58.53/23.96 | Combining equations (617,330) yields a new equation: % 58.53/23.96 | (546) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Simplifying 546 yields: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (734) ~ (unit = e0) % 58.53/23.96 | (735) unit = e3 | unit = e1 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (735), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (736) unit = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (736) can reduce 734 to: % 58.53/23.96 | (233) ~ (e1 = e0) % 58.53/23.96 | % 58.53/23.96 | From (736) and (244) follows: % 58.53/23.96 | (738) op(e1, e4) = e4 % 58.53/23.96 | % 58.53/23.96 | From (736) and (15) follows: % 58.53/23.96 | (515) op(e1, e2) = e2 % 58.53/23.96 | % 58.53/23.96 | From (736) and (28) follows: % 58.53/23.96 | (740) op(e1, e1) = e1 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.53/23.96 | (397) e4 = e0 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.53/23.96 | (323) e4 = e2 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.53/23.96 | (617) e2 = e1 % 58.53/23.96 | % 58.53/23.96 | Combining equations (397,323) yields a new equation: % 58.53/23.96 | (330) e2 = e0 % 58.53/23.96 | % 58.53/23.96 | Combining equations (617,330) yields a new equation: % 58.53/23.96 | (546) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Simplifying 546 yields: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (748) ~ (unit = e1) % 58.53/23.96 | (749) unit = e3 % 58.53/23.96 | % 58.53/23.96 | From (749) and (211) follows: % 58.53/23.96 | (13877) op(e3, e1) = e1 % 58.53/23.96 | % 58.53/23.96 | From (749) and (42) follows: % 58.53/23.96 | (752) op(e0, e3) = e0 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 58.53/23.96 | (630) e4 = e1 % 58.53/23.96 | % 58.53/23.96 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.53/23.96 | (397) e4 = e0 % 58.53/23.96 | % 58.53/23.96 | Combining equations (397,630) yields a new equation: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (678) ~ (all_0_47_47 = e0) % 58.53/23.96 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (781), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (789), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (790), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (791), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (792), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.53/23.96 | % 58.53/23.96 | Applying alpha-rule on (793) yields: % 58.53/23.96 | (794) all_0_41_41 = e0 % 58.53/23.96 | (795) all_0_58_58 = e3 % 58.53/23.96 | (407) ~ (all_0_44_44 = e3) % 58.53/23.96 | % 58.53/23.96 | Combining equations (794,453) yields a new equation: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.53/23.96 | % 58.53/23.96 | Applying alpha-rule on (800) yields: % 58.53/23.96 | (794) all_0_41_41 = e0 % 58.53/23.96 | (795) all_0_58_58 = e3 % 58.53/23.96 | (803) ~ (all_0_55_55 = e0) % 58.53/23.96 | % 58.53/23.96 | Combining equations (794,453) yields a new equation: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.53/23.96 | % 58.53/23.96 | Applying alpha-rule on (807) yields: % 58.53/23.96 | (654) all_0_47_47 = e1 % 58.53/23.96 | (352) all_0_52_52 = e2 % 58.53/23.96 | (810) ~ (all_0_48_48 = e2) % 58.53/23.96 | % 58.53/23.96 | Equations (654) can reduce 462 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.53/23.96 | % 58.53/23.96 | Applying alpha-rule on (813) yields: % 58.53/23.96 | (654) all_0_47_47 = e1 % 58.53/23.96 | (352) all_0_52_52 = e2 % 58.53/23.96 | (464) ~ (all_0_51_51 = e1) % 58.53/23.96 | % 58.53/23.96 | Equations (654) can reduce 462 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.53/23.96 | % 58.53/23.96 | Applying alpha-rule on (819) yields: % 58.53/23.96 | (674) all_0_47_47 = e0 % 58.53/23.96 | (624) all_0_58_58 = e2 % 58.53/23.96 | (340) ~ (all_0_49_49 = e2) % 58.53/23.96 | % 58.53/23.96 | Equations (674) can reduce 678 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.53/23.96 | % 58.53/23.96 | Applying alpha-rule on (825) yields: % 58.53/23.96 | (674) all_0_47_47 = e0 % 58.53/23.96 | (624) all_0_58_58 = e2 % 58.53/23.96 | (828) ~ (all_0_56_56 = e0) % 58.53/23.96 | % 58.53/23.96 | Equations (674) can reduce 678 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (619) ~ (all_0_48_48 = e1) % 58.53/23.96 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (620), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (642) all_0_52_52 = e1 % 58.53/23.96 | % 58.53/23.96 | Combining equations (352,642) yields a new equation: % 58.53/23.96 | (616) e2 = e1 % 58.53/23.96 | % 58.53/23.96 | Simplifying 616 yields: % 58.53/23.96 | (617) e2 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (617) can reduce 122 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (646) ~ (all_0_52_52 = e1) % 58.53/23.96 | (647) all_0_57_57 = e1 % 58.53/23.96 | % 58.53/23.96 | Combining equations (875,647) yields a new equation: % 58.53/23.96 | (431) e1 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (431) can reduce 233 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (466) ~ (all_0_56_56 = e1) % 58.53/23.96 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (3259), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (654) all_0_47_47 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (654) can reduce 114 to: % 58.53/23.96 | (11581) ~ (all_0_48_48 = e1) % 58.53/23.96 | % 58.53/23.96 | Simplifying 11581 yields: % 58.53/23.96 | (619) ~ (all_0_48_48 = e1) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (10222), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (1279) all_0_48_48 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (1279) can reduce 1283 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (1283) ~ (all_0_48_48 = e0) % 58.53/23.96 | (615) all_0_48_48 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (615) can reduce 619 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (462) ~ (all_0_47_47 = e1) % 58.53/23.96 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (10222), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (1279) all_0_48_48 = e0 % 58.53/23.96 | % 58.53/23.96 | Equations (1279) can reduce 1283 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (1283) ~ (all_0_48_48 = e0) % 58.53/23.96 | (615) all_0_48_48 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (615) can reduce 254 to: % 58.53/23.96 | (602) ~ (e4 = e1) % 58.53/23.96 | % 58.53/23.96 | Simplifying 602 yields: % 58.53/23.96 | (110) ~ (e4 = e1) % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (3264), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (1109) all_0_51_51 = e1 % 58.53/23.96 | % 58.53/23.96 | Combining equations (1101,1109) yields a new equation: % 58.53/23.96 | (636) e4 = e1 % 58.53/23.96 | % 58.53/23.96 | Simplifying 636 yields: % 58.53/23.96 | (630) e4 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (630) can reduce 110 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (464) ~ (all_0_51_51 = e1) % 58.53/23.96 | (1569) all_0_56_56 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (1569) can reduce 466 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (525) ~ (all_0_49_49 = e3) % 58.53/23.96 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.53/23.96 | % 58.53/23.96 +-Applying beta-rule and splitting (887), into two cases. % 58.53/23.96 |-Branch one: % 58.53/23.96 | (665) all_0_53_53 = e3 % 58.53/23.96 | % 58.53/23.96 | Combining equations (665,1208) yields a new equation: % 58.53/23.96 | (454) e3 = e1 % 58.53/23.96 | % 58.53/23.96 | Simplifying 454 yields: % 58.53/23.96 | (455) e3 = e1 % 58.53/23.96 | % 58.53/23.96 | Equations (455) can reduce 213 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (903) ~ (all_0_53_53 = e3) % 58.53/23.96 | (795) all_0_58_58 = e3 % 58.53/23.96 | % 58.53/23.96 | Combining equations (624,795) yields a new equation: % 58.53/23.96 | (662) e3 = e2 % 58.53/23.96 | % 58.53/23.96 | Equations (662) can reduce 212 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.96 |-Branch two: % 58.53/23.96 | (405) ~ (all_0_42_42 = e3) % 58.53/23.96 | (532) all_0_44_44 = e3 % 58.53/23.96 | % 58.53/23.96 | Equations (532) can reduce 407 to: % 58.53/23.96 | (266) $false % 58.53/23.96 | % 58.53/23.96 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (475) ~ (all_0_51_51 = e4) % 58.53/23.97 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (1294), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (565) all_0_52_52 = e4 % 58.53/23.97 | % 58.53/23.97 | Combining equations (352,565) yields a new equation: % 58.53/23.97 | (323) e4 = e2 % 58.53/23.97 | % 58.53/23.97 | Equations (323) can reduce 48 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (780) ~ (all_0_52_52 = e4) % 58.53/23.97 | (1298) all_0_53_53 = e4 % 58.53/23.97 | % 58.53/23.97 | Combining equations (1208,1298) yields a new equation: % 58.53/23.97 | (630) e4 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (630) can reduce 110 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (1459) ~ (all_0_53_53 = e1) % 58.53/23.97 | (665) all_0_53_53 = e3 % 58.53/23.97 | % 58.53/23.97 | Equations (665) can reduce 903 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (411) ~ (all_0_50_50 = e3) % 58.53/23.97 | (2336) all_0_55_55 = e3 % 58.53/23.97 | % 58.53/23.97 | Equations (2336) can reduce 270 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (457) ~ (all_0_41_41 = e1) % 58.53/23.97 | (403) all_0_41_41 = e3 % 58.53/23.97 | % 58.53/23.97 | Equations (403) can reduce 1898 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (399) ~ (all_0_43_43 = e4) % 58.53/23.97 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (400), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (943) all_0_48_48 = e4 % 58.53/23.97 | % 58.53/23.97 | Equations (943) can reduce 254 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (254) ~ (all_0_48_48 = e4) % 58.53/23.97 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (947), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (565) all_0_52_52 = e4 % 58.53/23.97 | % 58.53/23.97 | Combining equations (352,565) yields a new equation: % 58.53/23.97 | (323) e4 = e2 % 58.53/23.97 | % 58.53/23.97 | Equations (323) can reduce 48 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (780) ~ (all_0_52_52 = e4) % 58.53/23.97 | (871) all_0_57_57 = e4 % 58.53/23.97 | % 58.53/23.97 | Equations (871) can reduce 140 to: % 58.53/23.97 | (477) ~ (all_0_56_56 = e4) % 58.53/23.97 | % 58.53/23.97 | Equations (871) can reduce 344 to: % 58.53/23.97 | (48) ~ (e4 = e2) % 58.53/23.97 | % 58.53/23.97 | From (871) and (83) follows: % 58.53/23.97 | (3109) op(e0, e1) = e4 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (125), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (858) all_0_55_55 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (858) can reduce 803 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (803) ~ (all_0_55_55 = e0) % 58.53/23.97 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (863), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (679) all_0_56_56 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (679) can reduce 236 to: % 58.53/23.97 | (358) ~ (all_0_42_42 = e0) % 58.53/23.97 | % 58.53/23.97 | Equations (679) can reduce 91 to: % 58.53/23.97 | (678) ~ (all_0_47_47 = e0) % 58.53/23.97 | % 58.53/23.97 | Equations (679) can reduce 477 to: % 58.53/23.97 | (401) ~ (e4 = e0) % 58.53/23.97 | % 58.53/23.97 | Simplifying 401 yields: % 58.53/23.97 | (49) ~ (e4 = e0) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (163), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (565) all_0_52_52 = e4 % 58.53/23.97 | % 58.53/23.97 | Combining equations (352,565) yields a new equation: % 58.53/23.97 | (323) e4 = e2 % 58.53/23.97 | % 58.53/23.97 | Equations (323) can reduce 48 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (780) ~ (all_0_52_52 = e4) % 58.53/23.97 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (216), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (629) all_0_55_55 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (629) can reduce 93 to: % 58.53/23.97 | (759) ~ (all_0_50_50 = e1) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (781), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (789), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (790), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (791), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (792), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.53/23.97 | % 58.53/23.97 | Applying alpha-rule on (793) yields: % 58.53/23.97 | (794) all_0_41_41 = e0 % 58.53/23.97 | (795) all_0_58_58 = e3 % 58.53/23.97 | (407) ~ (all_0_44_44 = e3) % 58.53/23.97 | % 58.53/23.97 | Combining equations (624,795) yields a new equation: % 58.53/23.97 | (662) e3 = e2 % 58.53/23.97 | % 58.53/23.97 | Equations (662) can reduce 212 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.53/23.97 | % 58.53/23.97 | Applying alpha-rule on (800) yields: % 58.53/23.97 | (794) all_0_41_41 = e0 % 58.53/23.97 | (795) all_0_58_58 = e3 % 58.53/23.97 | (803) ~ (all_0_55_55 = e0) % 58.53/23.97 | % 58.53/23.97 | Combining equations (624,795) yields a new equation: % 58.53/23.97 | (662) e3 = e2 % 58.53/23.97 | % 58.53/23.97 | Equations (662) can reduce 212 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.53/23.97 | % 58.53/23.97 | Applying alpha-rule on (807) yields: % 58.53/23.97 | (654) all_0_47_47 = e1 % 58.53/23.97 | (352) all_0_52_52 = e2 % 58.53/23.97 | (810) ~ (all_0_48_48 = e2) % 58.53/23.97 | % 58.53/23.97 | Equations (654) can reduce 114 to: % 58.53/23.97 | (11581) ~ (all_0_48_48 = e1) % 58.53/23.97 | % 58.53/23.97 | Simplifying 11581 yields: % 58.53/23.97 | (619) ~ (all_0_48_48 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (654) can reduce 224 to: % 58.53/23.97 | (463) ~ (all_0_51_51 = e1) % 58.53/23.97 | % 58.53/23.97 | Simplifying 463 yields: % 58.53/23.97 | (464) ~ (all_0_51_51 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (654) can reduce 252 to: % 58.53/23.97 | (602) ~ (e4 = e1) % 58.53/23.97 | % 58.53/23.97 | Simplifying 602 yields: % 58.53/23.97 | (110) ~ (e4 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (654) can reduce 338 to: % 58.53/23.97 | (604) ~ (e2 = e1) % 58.53/23.97 | % 58.53/23.97 | Simplifying 604 yields: % 58.53/23.97 | (122) ~ (e2 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (654) can reduce 678 to: % 58.53/23.97 | (233) ~ (e1 = e0) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (130), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (430) all_0_43_43 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (430) can reduce 31 to: % 58.53/23.97 | (457) ~ (all_0_41_41 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (430) can reduce 240 to: % 58.53/23.97 | (1380) ~ (all_0_42_42 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (430) can reduce 17 to: % 58.53/23.97 | (11581) ~ (all_0_48_48 = e1) % 58.53/23.97 | % 58.53/23.97 | Simplifying 11581 yields: % 58.53/23.97 | (619) ~ (all_0_48_48 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (430) can reduce 96 to: % 58.53/23.97 | (604) ~ (e2 = e1) % 58.53/23.97 | % 58.53/23.97 | Simplifying 604 yields: % 58.53/23.97 | (122) ~ (e2 = e1) % 58.53/23.97 | % 58.53/23.97 | From (430) and (37) follows: % 58.53/23.97 | (13877) op(e3, e1) = e1 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (4), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (356) all_0_43_43 = e0 % 58.53/23.97 | % 58.53/23.97 | Combining equations (356,430) yields a new equation: % 58.53/23.97 | (431) e1 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (431) can reduce 233 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (5470) ~ (all_0_43_43 = e0) % 58.53/23.97 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (165), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (794) all_0_41_41 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (794) can reduce 357 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (357) ~ (all_0_41_41 = e0) % 58.53/23.97 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (5471), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (1279) all_0_48_48 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (1279) can reduce 619 to: % 58.53/23.97 | (435) ~ (e1 = e0) % 58.53/23.97 | % 58.53/23.97 | Simplifying 435 yields: % 58.53/23.97 | (233) ~ (e1 = e0) % 58.53/23.97 | % 58.53/23.97 | From (1279) and (192) follows: % 58.53/23.97 | (14938) op(e2, e1) = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (6761), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (559) all_0_42_42 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (559) can reduce 358 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (358) ~ (all_0_42_42 = e0) % 58.53/23.97 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (54), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (583) all_0_49_49 = e2 % 58.53/23.97 | % 58.53/23.97 | Equations (583) can reduce 340 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (340) ~ (all_0_49_49 = e2) % 58.53/23.97 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (6766), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (356) all_0_43_43 = e0 % 58.53/23.97 | % 58.53/23.97 | Combining equations (356,430) yields a new equation: % 58.53/23.97 | (431) e1 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (431) can reduce 233 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (5470) ~ (all_0_43_43 = e0) % 58.53/23.97 | (1414) all_0_44_44 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (1414) can reduce 149 to: % 58.53/23.97 | (357) ~ (all_0_41_41 = e0) % 58.53/23.97 | % 58.53/23.97 | Equations (1414) can reduce 73 to: % 58.53/23.97 | (358) ~ (all_0_42_42 = e0) % 58.53/23.97 | % 58.53/23.97 | Equations (1414) can reduce 9 to: % 58.53/23.97 | (486) ~ (all_0_49_49 = e0) % 58.53/23.97 | % 58.53/23.97 | Simplifying 486 yields: % 58.53/23.97 | (487) ~ (all_0_49_49 = e0) % 58.53/23.97 | % 58.53/23.97 | Equations (1414) can reduce 220 to: % 58.53/23.97 | (488) ~ (all_0_53_53 = e0) % 58.53/23.97 | % 58.53/23.97 | Simplifying 488 yields: % 58.53/23.97 | (247) ~ (all_0_53_53 = e0) % 58.53/23.97 | % 58.53/23.97 | From (1414) and (138) follows: % 58.53/23.97 | (1667) op(e3, e0) = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (586), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (974) all_0_49_49 = e4 % 58.53/23.97 | % 58.53/23.97 | Equations (974) can reduce 256 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (256) ~ (all_0_49_49 = e4) % 58.53/23.97 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (160), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (601) all_0_50_50 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (601) can reduce 759 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (759) ~ (all_0_50_50 = e1) % 58.53/23.97 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (1168), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (1109) all_0_51_51 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (1109) can reduce 464 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (464) ~ (all_0_51_51 = e1) % 58.53/23.97 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (977), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (978) all_0_49_49 = e0 % 58.53/23.97 | % 58.53/23.97 | Equations (978) can reduce 487 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (487) ~ (all_0_49_49 = e0) % 58.53/23.97 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (1202), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (642) all_0_52_52 = e1 % 58.53/23.97 | % 58.53/23.97 | Combining equations (352,642) yields a new equation: % 58.53/23.97 | (616) e2 = e1 % 58.53/23.97 | % 58.53/23.97 | Simplifying 616 yields: % 58.53/23.97 | (617) e2 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (617) can reduce 122 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (646) ~ (all_0_52_52 = e1) % 58.53/23.97 | (1208) all_0_53_53 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (1208) can reduce 65 to: % 58.53/23.97 | (1064) ~ (all_0_49_49 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (1208) can reduce 190 to: % 58.53/23.97 | (759) ~ (all_0_50_50 = e1) % 58.53/23.97 | % 58.53/23.97 | Equations (1208) can reduce 247 to: % 58.53/23.97 | (233) ~ (e1 = e0) % 58.53/23.97 | % 58.53/23.97 +-Applying beta-rule and splitting (981), into two cases. % 58.53/23.97 |-Branch one: % 58.53/23.97 | (671) all_0_49_49 = e1 % 58.53/23.97 | % 58.53/23.97 | Equations (671) can reduce 1064 to: % 58.53/23.97 | (266) $false % 58.53/23.97 | % 58.53/23.97 |-The branch is then unsatisfiable % 58.53/23.97 |-Branch two: % 58.53/23.97 | (1064) ~ (all_0_49_49 = e1) % 58.53/23.97 | (884) all_0_49_49 = e3 % 58.53/23.97 | % 58.53/23.97 | Equations (884) can reduce 487 to: % 58.53/23.97 | (80) ~ (e3 = e0) % 58.53/23.97 | % 58.53/23.97 | From (884) and (55) follows: % 58.53/23.98 | (1581) op(e2, e0) = e3 % 58.53/23.98 | % 58.53/23.98 +-Applying beta-rule and splitting (168), into two cases. % 58.53/23.98 |-Branch one: % 58.53/23.98 | (415) all_0_50_50 = e3 % 58.53/23.98 | % 58.53/23.98 | Equations (415) can reduce 221 to: % 58.53/23.98 | (1898) ~ (all_0_41_41 = e3) % 58.53/23.98 | % 58.53/23.98 | From (415) and (242) follows: % 58.53/23.98 | (1934) op(e1, e3) = e3 % 58.53/23.98 | % 58.53/23.98 +-Applying beta-rule and splitting (113), into two cases. % 58.53/23.98 |-Branch one: % 58.53/23.98 | (403) all_0_41_41 = e3 % 58.53/23.98 | % 58.53/23.98 | Equations (403) can reduce 1898 to: % 58.53/23.98 | (266) $false % 58.53/23.98 | % 58.53/23.98 |-The branch is then unsatisfiable % 58.53/23.98 |-Branch two: % 58.53/23.98 | (1898) ~ (all_0_41_41 = e3) % 58.53/23.98 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.53/23.98 | % 58.53/23.98 +-Applying beta-rule and splitting (27), into two cases. % 58.53/23.98 |-Branch one: % 58.53/23.98 | (437) all_0_41_41 = e4 % 58.53/23.98 | % 58.53/23.98 | Equations (437) can reduce 1898 to: % 58.53/23.98 | (188) ~ (e4 = e3) % 58.53/23.98 | % 58.53/23.98 | Equations (437) can reduce 85 to: % 58.53/23.98 | (48) ~ (e4 = e2) % 58.53/23.98 | % 58.53/23.98 | Equations (437) can reduce 457 to: % 58.53/23.98 | (110) ~ (e4 = e1) % 58.53/23.98 | % 58.53/23.98 | From (437) and (219) follows: % 58.53/23.98 | (1913) op(e3, e3) = e4 % 58.53/23.98 | % 58.53/23.98 +-Applying beta-rule and splitting (231), into two cases. % 58.53/23.98 |-Branch one: % 58.53/23.98 | (775) all_0_50_50 = e4 % 58.53/23.98 | % 58.53/23.98 | Combining equations (415,775) yields a new equation: % 58.53/23.98 | (425) e4 = e3 % 58.53/23.98 | % 58.53/23.98 | Equations (425) can reduce 188 to: % 58.53/23.98 | (266) $false % 58.53/23.98 | % 58.53/23.98 |-The branch is then unsatisfiable % 58.53/23.98 |-Branch two: % 58.53/23.98 | (566) ~ (all_0_50_50 = e4) % 58.53/23.98 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.53/23.98 | % 58.53/23.98 +-Applying beta-rule and splitting (1071), into two cases. % 58.53/23.98 |-Branch one: % 58.53/23.98 | (1101) all_0_51_51 = e4 % 58.53/23.98 | % 58.53/23.98 | From (1101) and (186) follows: % 58.53/23.98 | (13720) op(e1, e2) = e4 % 58.53/23.98 | % 58.53/23.98 +-Applying beta-rule and splitting (56), into two cases. % 58.53/23.98 |-Branch one: % 58.53/23.98 | (696) unit = e2 % 58.53/23.98 | % 58.53/23.98 | From (696) and (24) follows: % 58.53/23.98 | (697) op(e2, e3) = e3 % 58.53/23.98 | % 58.53/23.98 | From (696) and (209) follows: % 58.53/23.98 | (7585) op(e2, e0) = e0 % 58.58/23.98 | % 58.58/23.98 | From (696) and (227) follows: % 58.58/23.98 | (4284) op(e4, e2) = e4 % 58.58/23.98 | % 58.58/23.98 | From (696) and (28) follows: % 58.58/23.98 | (699) op(e1, e2) = e1 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.58/23.98 | (323) e4 = e2 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.58/23.98 | (662) e3 = e2 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.58/23.98 | (676) e3 = e0 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.58/23.98 | (630) e4 = e1 % 58.58/23.98 | % 58.58/23.98 | Combining equations (323,630) yields a new equation: % 58.58/23.98 | (616) e2 = e1 % 58.58/23.98 | % 58.58/23.98 | Simplifying 616 yields: % 58.58/23.98 | (617) e2 = e1 % 58.58/23.98 | % 58.58/23.98 | Combining equations (676,662) yields a new equation: % 58.58/23.98 | (330) e2 = e0 % 58.58/23.98 | % 58.58/23.98 | Combining equations (330,617) yields a new equation: % 58.58/23.98 | (431) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Equations (431) can reduce 233 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (707) ~ (unit = e2) % 58.58/23.98 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (708), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (709) unit = e4 % 58.58/23.98 | % 58.58/23.98 | From (709) and (211) follows: % 58.58/23.98 | (22527) op(e4, e1) = e1 % 58.58/23.98 | % 58.58/23.98 | From (709) and (42) follows: % 58.58/23.98 | (713) op(e0, e4) = e0 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.58/23.98 | (455) e3 = e1 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.58/23.98 | (676) e3 = e0 % 58.58/23.98 | % 58.58/23.98 | Combining equations (455,676) yields a new equation: % 58.58/23.98 | (546) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Simplifying 546 yields: % 58.58/23.98 | (431) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Equations (431) can reduce 233 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (724) ~ (unit = e4) % 58.58/23.98 | (725) unit = e3 | unit = e1 | unit = e0 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (725), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (726) unit = e0 % 58.58/23.98 | % 58.58/23.98 | From (726) and (244) follows: % 58.58/23.98 | (2207) op(e0, e4) = e4 % 58.58/23.98 | % 58.58/23.98 | From (726) and (211) follows: % 58.58/23.98 | (15180) op(e0, e1) = e1 % 58.58/23.98 | % 58.58/23.98 | From (726) and (40) follows: % 58.58/23.98 | (1639) op(e3, e0) = e3 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.58/23.98 | (676) e3 = e0 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.58/23.98 | (425) e4 = e3 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 58.58/23.98 | (630) e4 = e1 % 58.58/23.98 | % 58.58/23.98 | Combining equations (425,630) yields a new equation: % 58.58/23.98 | (454) e3 = e1 % 58.58/23.98 | % 58.58/23.98 | Simplifying 454 yields: % 58.58/23.98 | (455) e3 = e1 % 58.58/23.98 | % 58.58/23.98 | Combining equations (455,676) yields a new equation: % 58.58/23.98 | (546) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Simplifying 546 yields: % 58.58/23.98 | (431) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Equations (431) can reduce 233 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (734) ~ (unit = e0) % 58.58/23.98 | (735) unit = e3 | unit = e1 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (735), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (736) unit = e1 % 58.58/23.98 | % 58.58/23.98 | Equations (736) can reduce 734 to: % 58.58/23.98 | (233) ~ (e1 = e0) % 58.58/23.98 | % 58.58/23.98 | From (736) and (15) follows: % 58.58/23.98 | (515) op(e1, e2) = e2 % 58.58/23.98 | % 58.58/23.98 | From (736) and (28) follows: % 58.58/23.98 | (740) op(e1, e1) = e1 % 58.58/23.98 | % 58.58/23.98 | From (736) and (42) follows: % 58.58/23.98 | (3221) op(e0, e1) = e0 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.58/23.98 | (323) e4 = e2 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.58/23.98 | (617) e2 = e1 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 58.58/23.98 | (397) e4 = e0 % 58.58/23.98 | % 58.58/23.98 | Combining equations (323,397) yields a new equation: % 58.58/23.98 | (391) e2 = e0 % 58.58/23.98 | % 58.58/23.98 | Simplifying 391 yields: % 58.58/23.98 | (330) e2 = e0 % 58.58/23.98 | % 58.58/23.98 | Combining equations (617,330) yields a new equation: % 58.58/23.98 | (546) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Simplifying 546 yields: % 58.58/23.98 | (431) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Equations (431) can reduce 233 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (748) ~ (unit = e1) % 58.58/23.98 | (749) unit = e3 % 58.58/23.98 | % 58.58/23.98 | From (749) and (244) follows: % 58.58/23.98 | (750) op(e3, e4) = e4 % 58.58/23.98 | % 58.58/23.98 | From (749) and (227) follows: % 58.58/23.98 | (22570) op(e4, e3) = e4 % 58.58/23.98 | % 58.58/23.98 | From (749) and (40) follows: % 58.58/23.98 | (3715) op(e3, e3) = e3 % 58.58/23.98 | % 58.58/23.98 | From (749) and (28) follows: % 58.58/23.98 | (2235) op(e1, e3) = e1 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.58/23.98 | (397) e4 = e0 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.58/23.98 | (323) e4 = e2 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.58/23.98 | (425) e4 = e3 % 58.58/23.98 | % 58.58/23.98 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.58/23.98 | (455) e3 = e1 % 58.58/23.98 | % 58.58/23.98 | Combining equations (397,323) yields a new equation: % 58.58/23.98 | (330) e2 = e0 % 58.58/23.98 | % 58.58/23.98 | Combining equations (425,323) yields a new equation: % 58.58/23.98 | (661) e3 = e2 % 58.58/23.98 | % 58.58/23.98 | Simplifying 661 yields: % 58.58/23.98 | (662) e3 = e2 % 58.58/23.98 | % 58.58/23.98 | Combining equations (662,455) yields a new equation: % 58.58/23.98 | (616) e2 = e1 % 58.58/23.98 | % 58.58/23.98 | Simplifying 616 yields: % 58.58/23.98 | (617) e2 = e1 % 58.58/23.98 | % 58.58/23.98 | Combining equations (617,330) yields a new equation: % 58.58/23.98 | (546) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Simplifying 546 yields: % 58.58/23.98 | (431) e1 = e0 % 58.58/23.98 | % 58.58/23.98 | Equations (431) can reduce 233 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (475) ~ (all_0_51_51 = e4) % 58.58/23.98 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (164), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (471) all_0_39_39 = e4 % 58.58/23.98 | % 58.58/23.98 | Combining equations (471,317) yields a new equation: % 58.58/23.98 | (322) e4 = e2 % 58.58/23.98 | % 58.58/23.98 | Simplifying 322 yields: % 58.58/23.98 | (323) e4 = e2 % 58.58/23.98 | % 58.58/23.98 | Equations (323) can reduce 48 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (1377) ~ (all_0_39_39 = e4) % 58.58/23.98 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.58/23.98 | % 58.58/23.98 | Equations (317) can reduce 1377 to: % 58.58/23.98 | (327) ~ (e4 = e2) % 58.58/23.98 | % 58.58/23.98 | Simplifying 327 yields: % 58.58/23.98 | (48) ~ (e4 = e2) % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (1294), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (565) all_0_52_52 = e4 % 58.58/23.98 | % 58.58/23.98 | Combining equations (352,565) yields a new equation: % 58.58/23.98 | (323) e4 = e2 % 58.58/23.98 | % 58.58/23.98 | Equations (323) can reduce 48 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (780) ~ (all_0_52_52 = e4) % 58.58/23.98 | (1298) all_0_53_53 = e4 % 58.58/23.98 | % 58.58/23.98 | Combining equations (1208,1298) yields a new equation: % 58.58/23.98 | (630) e4 = e1 % 58.58/23.98 | % 58.58/23.98 | Equations (630) can reduce 110 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (440) ~ (all_0_41_41 = e4) % 58.58/23.98 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (4049), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (794) all_0_41_41 = e0 % 58.58/23.98 | % 58.58/23.98 | Equations (794) can reduce 357 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (357) ~ (all_0_41_41 = e0) % 58.58/23.98 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (4053), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (453) all_0_41_41 = e1 % 58.58/23.98 | % 58.58/23.98 | Equations (453) can reduce 457 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (457) ~ (all_0_41_41 = e1) % 58.58/23.98 | (403) all_0_41_41 = e3 % 58.58/23.98 | % 58.58/23.98 | Equations (403) can reduce 1898 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (411) ~ (all_0_50_50 = e3) % 58.58/23.98 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (144), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (403) all_0_41_41 = e3 % 58.58/23.98 | % 58.58/23.98 | Equations (403) can reduce 214 to: % 58.58/23.98 | (404) ~ (all_0_42_42 = e3) % 58.58/23.98 | % 58.58/23.98 | Simplifying 404 yields: % 58.58/23.98 | (405) ~ (all_0_42_42 = e3) % 58.58/23.98 | % 58.58/23.98 | Equations (403) can reduce 457 to: % 58.58/23.98 | (213) ~ (e3 = e1) % 58.58/23.98 | % 58.58/23.98 | Equations (403) can reduce 357 to: % 58.58/23.98 | (80) ~ (e3 = e0) % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (180), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (516) all_0_42_42 = e3 % 58.58/23.98 | % 58.58/23.98 | Equations (516) can reduce 405 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (405) ~ (all_0_42_42 = e3) % 58.58/23.98 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (241), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (378) all_0_50_50 = e2 % 58.58/23.98 | % 58.58/23.98 | Equations (378) can reduce 302 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (302) ~ (all_0_50_50 = e2) % 58.58/23.98 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (521), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.98 | (522) all_0_47_47 = e3 % 58.58/23.98 | % 58.58/23.98 | Combining equations (654,522) yields a new equation: % 58.58/23.98 | (455) e3 = e1 % 58.58/23.98 | % 58.58/23.98 | Equations (455) can reduce 213 to: % 58.58/23.98 | (266) $false % 58.58/23.98 | % 58.58/23.98 |-The branch is then unsatisfiable % 58.58/23.98 |-Branch two: % 58.58/23.98 | (1091) ~ (all_0_47_47 = e3) % 58.58/23.98 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.58/23.98 | % 58.58/23.98 | Equations (654) can reduce 1091 to: % 58.58/23.98 | (467) ~ (e3 = e1) % 58.58/23.98 | % 58.58/23.98 | Simplifying 467 yields: % 58.58/23.98 | (213) ~ (e3 = e1) % 58.58/23.98 | % 58.58/23.98 +-Applying beta-rule and splitting (152), into two cases. % 58.58/23.98 |-Branch one: % 58.58/23.99 | (1392) all_0_42_42 = e4 % 58.58/23.99 | % 58.58/23.99 | From (1392) and (210) follows: % 58.58/23.99 | (4074) op(e3, e2) = e4 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (231), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (775) all_0_50_50 = e4 % 58.58/23.99 | % 58.58/23.99 | From (775) and (242) follows: % 58.58/23.99 | (5059) op(e1, e3) = e4 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (1092), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (660) all_0_51_51 = e3 % 58.58/23.99 | % 58.58/23.99 | From (660) and (186) follows: % 58.58/23.99 | (1552) op(e1, e2) = e3 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (56), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (696) unit = e2 % 58.58/23.99 | % 58.58/23.99 | From (696) and (209) follows: % 58.58/23.99 | (7585) op(e2, e0) = e0 % 58.58/23.99 | % 58.58/23.99 | From (696) and (227) follows: % 58.58/23.99 | (4284) op(e4, e2) = e4 % 58.58/23.99 | % 58.58/23.99 | From (696) and (40) follows: % 58.58/23.99 | (4285) op(e3, e2) = e3 % 58.58/23.99 | % 58.58/23.99 | From (696) and (28) follows: % 58.58/23.99 | (699) op(e1, e2) = e1 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.58/23.99 | (323) e4 = e2 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.58/23.99 | (425) e4 = e3 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.58/23.99 | (676) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.58/23.99 | (455) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (323,425) yields a new equation: % 58.58/23.99 | (662) e3 = e2 % 58.58/23.99 | % 58.58/23.99 | Combining equations (455,662) yields a new equation: % 58.58/23.99 | (617) e2 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (676,662) yields a new equation: % 58.58/23.99 | (330) e2 = e0 % 58.58/23.99 | % 58.58/23.99 | Combining equations (330,617) yields a new equation: % 58.58/23.99 | (431) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (431) can reduce 233 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (707) ~ (unit = e2) % 58.58/23.99 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (708), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (709) unit = e4 % 58.58/23.99 | % 58.58/23.99 | From (709) and (211) follows: % 58.58/23.99 | (22527) op(e4, e1) = e1 % 58.58/23.99 | % 58.58/23.99 | From (709) and (42) follows: % 58.58/23.99 | (713) op(e0, e4) = e0 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.58/23.99 | (455) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.58/23.99 | (676) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Combining equations (455,676) yields a new equation: % 58.58/23.99 | (546) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Simplifying 546 yields: % 58.58/23.99 | (431) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (431) can reduce 233 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (724) ~ (unit = e4) % 58.58/23.99 | (725) unit = e3 | unit = e1 | unit = e0 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (725), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (726) unit = e0 % 58.58/23.99 | % 58.58/23.99 | From (726) and (244) follows: % 58.58/23.99 | (2207) op(e0, e4) = e4 % 58.58/23.99 | % 58.58/23.99 | From (726) and (211) follows: % 58.58/23.99 | (15180) op(e0, e1) = e1 % 58.58/23.99 | % 58.58/23.99 | From (726) and (40) follows: % 58.58/23.99 | (1639) op(e3, e0) = e3 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.58/23.99 | (676) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.58/23.99 | (425) e4 = e3 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 58.58/23.99 | (630) e4 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (425,630) yields a new equation: % 58.58/23.99 | (454) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Simplifying 454 yields: % 58.58/23.99 | (455) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (455,676) yields a new equation: % 58.58/23.99 | (546) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Simplifying 546 yields: % 58.58/23.99 | (431) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (431) can reduce 233 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (734) ~ (unit = e0) % 58.58/23.99 | (735) unit = e3 | unit = e1 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (735), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (736) unit = e1 % 58.58/23.99 | % 58.58/23.99 | Equations (736) can reduce 734 to: % 58.58/23.99 | (233) ~ (e1 = e0) % 58.58/23.99 | % 58.58/23.99 | From (736) and (15) follows: % 58.58/23.99 | (515) op(e1, e2) = e2 % 58.58/23.99 | % 58.58/23.99 | From (736) and (40) follows: % 58.58/23.99 | (1652) op(e3, e1) = e3 % 58.58/23.99 | % 58.58/23.99 | From (736) and (32) follows: % 58.58/23.99 | (347) op(e2, e1) = e2 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 58.58/23.99 | (455) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 58.58/23.99 | (330) e2 = e0 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.58/23.99 | (662) e3 = e2 % 58.58/23.99 | % 58.58/23.99 | Combining equations (662,455) yields a new equation: % 58.58/23.99 | (616) e2 = e1 % 58.58/23.99 | % 58.58/23.99 | Simplifying 616 yields: % 58.58/23.99 | (617) e2 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (330,617) yields a new equation: % 58.58/23.99 | (431) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (431) can reduce 233 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (748) ~ (unit = e1) % 58.58/23.99 | (749) unit = e3 % 58.58/23.99 | % 58.58/23.99 | From (749) and (15) follows: % 58.58/23.99 | (751) op(e3, e2) = e2 % 58.58/23.99 | % 58.58/23.99 | From (749) and (227) follows: % 58.58/23.99 | (22570) op(e4, e3) = e4 % 58.58/23.99 | % 58.58/23.99 | From (749) and (28) follows: % 58.58/23.99 | (2235) op(e1, e3) = e1 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.58/23.99 | (397) e4 = e0 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 58.58/23.99 | (323) e4 = e2 % 58.58/23.99 | % 58.58/23.99 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 58.58/23.99 | (630) e4 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (397,323) yields a new equation: % 58.58/23.99 | (330) e2 = e0 % 58.58/23.99 | % 58.58/23.99 | Combining equations (630,323) yields a new equation: % 58.58/23.99 | (617) e2 = e1 % 58.58/23.99 | % 58.58/23.99 | Combining equations (617,330) yields a new equation: % 58.58/23.99 | (546) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Simplifying 546 yields: % 58.58/23.99 | (431) e1 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (431) can reduce 233 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (664) ~ (all_0_51_51 = e3) % 58.58/23.99 | (1097) all_0_56_56 = e3 % 58.58/23.99 | % 58.58/23.99 | Combining equations (1097,679) yields a new equation: % 58.58/23.99 | (675) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Simplifying 675 yields: % 58.58/23.99 | (676) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (676) can reduce 80 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (566) ~ (all_0_50_50 = e4) % 58.58/23.99 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (418), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (660) all_0_51_51 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (660) can reduce 59 to: % 58.58/23.99 | (411) ~ (all_0_50_50 = e3) % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (422), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (775) all_0_50_50 = e4 % 58.58/23.99 | % 58.58/23.99 | Equations (775) can reduce 566 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (566) ~ (all_0_50_50 = e4) % 58.58/23.99 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (1444), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (601) all_0_50_50 = e1 % 58.58/23.99 | % 58.58/23.99 | Equations (601) can reduce 759 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (759) ~ (all_0_50_50 = e1) % 58.58/23.99 | (415) all_0_50_50 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (415) can reduce 411 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (664) ~ (all_0_51_51 = e3) % 58.58/23.99 | (665) all_0_53_53 = e3 % 58.58/23.99 | % 58.58/23.99 | Combining equations (665,1208) yields a new equation: % 58.58/23.99 | (454) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Simplifying 454 yields: % 58.58/23.99 | (455) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Equations (455) can reduce 213 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (1890) ~ (all_0_42_42 = e4) % 58.58/23.99 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (1092), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (660) all_0_51_51 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (660) can reduce 61 to: % 58.58/23.99 | (405) ~ (all_0_42_42 = e3) % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (1969), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (559) all_0_42_42 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (559) can reduce 358 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (358) ~ (all_0_42_42 = e0) % 58.58/23.99 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (2510), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (459) all_0_42_42 = e1 % 58.58/23.99 | % 58.58/23.99 | Equations (459) can reduce 1380 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (1380) ~ (all_0_42_42 = e1) % 58.58/23.99 | (516) all_0_42_42 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (516) can reduce 405 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (664) ~ (all_0_51_51 = e3) % 58.58/23.99 | (1097) all_0_56_56 = e3 % 58.58/23.99 | % 58.58/23.99 | Combining equations (679,1097) yields a new equation: % 58.58/23.99 | (676) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (676) can reduce 80 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (1898) ~ (all_0_41_41 = e3) % 58.58/23.99 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (113), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (403) all_0_41_41 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (403) can reduce 1898 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (1898) ~ (all_0_41_41 = e3) % 58.58/23.99 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (1899), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (516) all_0_42_42 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (516) can reduce 61 to: % 58.58/23.99 | (1925) ~ (all_0_51_51 = e3) % 58.58/23.99 | % 58.58/23.99 | Simplifying 1925 yields: % 58.58/23.99 | (664) ~ (all_0_51_51 = e3) % 58.58/23.99 | % 58.58/23.99 | Equations (516) can reduce 1380 to: % 58.58/23.99 | (213) ~ (e3 = e1) % 58.58/23.99 | % 58.58/23.99 +-Applying beta-rule and splitting (418), into two cases. % 58.58/23.99 |-Branch one: % 58.58/23.99 | (660) all_0_51_51 = e3 % 58.58/23.99 | % 58.58/23.99 | Equations (660) can reduce 664 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (664) ~ (all_0_51_51 = e3) % 58.58/23.99 | (665) all_0_53_53 = e3 % 58.58/23.99 | % 58.58/23.99 | Combining equations (665,1208) yields a new equation: % 58.58/23.99 | (454) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Simplifying 454 yields: % 58.58/23.99 | (455) e3 = e1 % 58.58/23.99 | % 58.58/23.99 | Equations (455) can reduce 213 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/23.99 |-Branch two: % 58.58/23.99 | (405) ~ (all_0_42_42 = e3) % 58.58/23.99 | (532) all_0_44_44 = e3 % 58.58/23.99 | % 58.58/23.99 | Combining equations (532,1414) yields a new equation: % 58.58/23.99 | (675) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Simplifying 675 yields: % 58.58/23.99 | (676) e3 = e0 % 58.58/23.99 | % 58.58/23.99 | Equations (676) can reduce 80 to: % 58.58/23.99 | (266) $false % 58.58/23.99 | % 58.58/23.99 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (1283) ~ (all_0_48_48 = e0) % 58.58/24.00 | (875) all_0_57_57 = e0 % 58.58/24.00 | % 58.58/24.00 | Combining equations (871,875) yields a new equation: % 58.58/24.00 | (481) e4 = e0 % 58.58/24.00 | % 58.58/24.00 | Simplifying 481 yields: % 58.58/24.00 | (397) e4 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (397) can reduce 49 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (433) ~ (all_0_43_43 = e1) % 58.58/24.00 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (434), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (615) all_0_48_48 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (615) can reduce 619 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (619) ~ (all_0_48_48 = e1) % 58.58/24.00 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (620), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (642) all_0_52_52 = e1 % 58.58/24.00 | % 58.58/24.00 | Combining equations (352,642) yields a new equation: % 58.58/24.00 | (616) e2 = e1 % 58.58/24.00 | % 58.58/24.00 | Simplifying 616 yields: % 58.58/24.00 | (617) e2 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (617) can reduce 122 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (646) ~ (all_0_52_52 = e1) % 58.58/24.00 | (647) all_0_57_57 = e1 % 58.58/24.00 | % 58.58/24.00 | Combining equations (647,871) yields a new equation: % 58.58/24.00 | (630) e4 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (630) can reduce 110 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.58/24.00 | % 58.58/24.00 | Applying alpha-rule on (813) yields: % 58.58/24.00 | (654) all_0_47_47 = e1 % 58.58/24.00 | (352) all_0_52_52 = e2 % 58.58/24.00 | (464) ~ (all_0_51_51 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (654) can reduce 114 to: % 58.58/24.00 | (11581) ~ (all_0_48_48 = e1) % 58.58/24.00 | % 58.58/24.00 | Simplifying 11581 yields: % 58.58/24.00 | (619) ~ (all_0_48_48 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (654) can reduce 224 to: % 58.58/24.00 | (463) ~ (all_0_51_51 = e1) % 58.58/24.00 | % 58.58/24.00 | Simplifying 463 yields: % 58.58/24.00 | (464) ~ (all_0_51_51 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (654) can reduce 252 to: % 58.58/24.00 | (602) ~ (e4 = e1) % 58.58/24.00 | % 58.58/24.00 | Simplifying 602 yields: % 58.58/24.00 | (110) ~ (e4 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (654) can reduce 338 to: % 58.58/24.00 | (604) ~ (e2 = e1) % 58.58/24.00 | % 58.58/24.00 | Simplifying 604 yields: % 58.58/24.00 | (122) ~ (e2 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (654) can reduce 678 to: % 58.58/24.00 | (233) ~ (e1 = e0) % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (130), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (430) all_0_43_43 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (430) can reduce 31 to: % 58.58/24.00 | (457) ~ (all_0_41_41 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (430) can reduce 240 to: % 58.58/24.00 | (1380) ~ (all_0_42_42 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (430) can reduce 17 to: % 58.58/24.00 | (11581) ~ (all_0_48_48 = e1) % 58.58/24.00 | % 58.58/24.00 | Simplifying 11581 yields: % 58.58/24.00 | (619) ~ (all_0_48_48 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (430) can reduce 96 to: % 58.58/24.00 | (604) ~ (e2 = e1) % 58.58/24.00 | % 58.58/24.00 | Simplifying 604 yields: % 58.58/24.00 | (122) ~ (e2 = e1) % 58.58/24.00 | % 58.58/24.00 | From (430) and (37) follows: % 58.58/24.00 | (13877) op(e3, e1) = e1 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (4), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (356) all_0_43_43 = e0 % 58.58/24.00 | % 58.58/24.00 | Combining equations (356,430) yields a new equation: % 58.58/24.00 | (431) e1 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (431) can reduce 233 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (5470) ~ (all_0_43_43 = e0) % 58.58/24.00 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (165), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (794) all_0_41_41 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (794) can reduce 357 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (357) ~ (all_0_41_41 = e0) % 58.58/24.00 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (5471), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (1279) all_0_48_48 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (1279) can reduce 619 to: % 58.58/24.00 | (435) ~ (e1 = e0) % 58.58/24.00 | % 58.58/24.00 | Simplifying 435 yields: % 58.58/24.00 | (233) ~ (e1 = e0) % 58.58/24.00 | % 58.58/24.00 | From (1279) and (192) follows: % 58.58/24.00 | (14938) op(e2, e1) = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (6761), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (559) all_0_42_42 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (559) can reduce 358 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (358) ~ (all_0_42_42 = e0) % 58.58/24.00 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (54), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (583) all_0_49_49 = e2 % 58.58/24.00 | % 58.58/24.00 | Equations (583) can reduce 340 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (340) ~ (all_0_49_49 = e2) % 58.58/24.00 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (6766), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (356) all_0_43_43 = e0 % 58.58/24.00 | % 58.58/24.00 | Combining equations (356,430) yields a new equation: % 58.58/24.00 | (431) e1 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (431) can reduce 233 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (5470) ~ (all_0_43_43 = e0) % 58.58/24.00 | (1414) all_0_44_44 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (1414) can reduce 149 to: % 58.58/24.00 | (357) ~ (all_0_41_41 = e0) % 58.58/24.00 | % 58.58/24.00 | Equations (1414) can reduce 73 to: % 58.58/24.00 | (358) ~ (all_0_42_42 = e0) % 58.58/24.00 | % 58.58/24.00 | Equations (1414) can reduce 9 to: % 58.58/24.00 | (486) ~ (all_0_49_49 = e0) % 58.58/24.00 | % 58.58/24.00 | Simplifying 486 yields: % 58.58/24.00 | (487) ~ (all_0_49_49 = e0) % 58.58/24.00 | % 58.58/24.00 | Equations (1414) can reduce 220 to: % 58.58/24.00 | (488) ~ (all_0_53_53 = e0) % 58.58/24.00 | % 58.58/24.00 | Simplifying 488 yields: % 58.58/24.00 | (247) ~ (all_0_53_53 = e0) % 58.58/24.00 | % 58.58/24.00 | From (1414) and (138) follows: % 58.58/24.00 | (1667) op(e3, e0) = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (586), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (974) all_0_49_49 = e4 % 58.58/24.00 | % 58.58/24.00 | Equations (974) can reduce 256 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (256) ~ (all_0_49_49 = e4) % 58.58/24.00 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (160), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (601) all_0_50_50 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (601) can reduce 759 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (759) ~ (all_0_50_50 = e1) % 58.58/24.00 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (1168), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (1109) all_0_51_51 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (1109) can reduce 464 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (464) ~ (all_0_51_51 = e1) % 58.58/24.00 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (977), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (978) all_0_49_49 = e0 % 58.58/24.00 | % 58.58/24.00 | Equations (978) can reduce 487 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (487) ~ (all_0_49_49 = e0) % 58.58/24.00 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (1202), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (642) all_0_52_52 = e1 % 58.58/24.00 | % 58.58/24.00 | Combining equations (352,642) yields a new equation: % 58.58/24.00 | (616) e2 = e1 % 58.58/24.00 | % 58.58/24.00 | Simplifying 616 yields: % 58.58/24.00 | (617) e2 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (617) can reduce 122 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (646) ~ (all_0_52_52 = e1) % 58.58/24.00 | (1208) all_0_53_53 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (1208) can reduce 65 to: % 58.58/24.00 | (1064) ~ (all_0_49_49 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (1208) can reduce 190 to: % 58.58/24.00 | (759) ~ (all_0_50_50 = e1) % 58.58/24.00 | % 58.58/24.00 | Equations (1208) can reduce 247 to: % 58.58/24.00 | (233) ~ (e1 = e0) % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (981), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (671) all_0_49_49 = e1 % 58.58/24.00 | % 58.58/24.00 | Equations (671) can reduce 1064 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (1064) ~ (all_0_49_49 = e1) % 58.58/24.00 | (884) all_0_49_49 = e3 % 58.58/24.00 | % 58.58/24.00 | Equations (884) can reduce 487 to: % 58.58/24.00 | (80) ~ (e3 = e0) % 58.58/24.00 | % 58.58/24.00 | From (884) and (55) follows: % 58.58/24.00 | (1581) op(e2, e0) = e3 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (168), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (415) all_0_50_50 = e3 % 58.58/24.00 | % 58.58/24.00 | Equations (415) can reduce 221 to: % 58.58/24.00 | (1898) ~ (all_0_41_41 = e3) % 58.58/24.00 | % 58.58/24.00 | From (415) and (242) follows: % 58.58/24.00 | (1934) op(e1, e3) = e3 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (113), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (403) all_0_41_41 = e3 % 58.58/24.00 | % 58.58/24.00 | Equations (403) can reduce 1898 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (1898) ~ (all_0_41_41 = e3) % 58.58/24.00 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (27), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (437) all_0_41_41 = e4 % 58.58/24.00 | % 58.58/24.00 | Equations (437) can reduce 1898 to: % 58.58/24.00 | (188) ~ (e4 = e3) % 58.58/24.00 | % 58.58/24.00 | Equations (437) can reduce 85 to: % 58.58/24.00 | (48) ~ (e4 = e2) % 58.58/24.00 | % 58.58/24.00 | Equations (437) can reduce 457 to: % 58.58/24.00 | (110) ~ (e4 = e1) % 58.58/24.00 | % 58.58/24.00 | From (437) and (219) follows: % 58.58/24.00 | (1913) op(e3, e3) = e4 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (231), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (775) all_0_50_50 = e4 % 58.58/24.00 | % 58.58/24.00 | Combining equations (415,775) yields a new equation: % 58.58/24.00 | (425) e4 = e3 % 58.58/24.00 | % 58.58/24.00 | Equations (425) can reduce 188 to: % 58.58/24.00 | (266) $false % 58.58/24.00 | % 58.58/24.00 |-The branch is then unsatisfiable % 58.58/24.00 |-Branch two: % 58.58/24.00 | (566) ~ (all_0_50_50 = e4) % 58.58/24.00 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (1071), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (1101) all_0_51_51 = e4 % 58.58/24.00 | % 58.58/24.00 | From (1101) and (186) follows: % 58.58/24.00 | (13720) op(e1, e2) = e4 % 58.58/24.00 | % 58.58/24.00 +-Applying beta-rule and splitting (56), into two cases. % 58.58/24.00 |-Branch one: % 58.58/24.00 | (696) unit = e2 % 58.58/24.00 | % 58.58/24.00 | From (696) and (24) follows: % 58.58/24.00 | (697) op(e2, e3) = e3 % 58.58/24.00 | % 58.58/24.00 | From (696) and (209) follows: % 58.58/24.01 | (7585) op(e2, e0) = e0 % 58.58/24.01 | % 58.58/24.01 | From (696) and (227) follows: % 58.58/24.01 | (4284) op(e4, e2) = e4 % 58.58/24.01 | % 58.58/24.01 | From (696) and (28) follows: % 58.58/24.01 | (699) op(e1, e2) = e1 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.58/24.01 | (323) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.58/24.01 | (662) e3 = e2 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.58/24.01 | (676) e3 = e0 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.58/24.01 | (630) e4 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (323,630) yields a new equation: % 58.58/24.01 | (616) e2 = e1 % 58.58/24.01 | % 58.58/24.01 | Simplifying 616 yields: % 58.58/24.01 | (617) e2 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (676,662) yields a new equation: % 58.58/24.01 | (330) e2 = e0 % 58.58/24.01 | % 58.58/24.01 | Combining equations (330,617) yields a new equation: % 58.58/24.01 | (431) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (431) can reduce 233 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (707) ~ (unit = e2) % 58.58/24.01 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (708), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (709) unit = e4 % 58.58/24.01 | % 58.58/24.01 | From (709) and (211) follows: % 58.58/24.01 | (22527) op(e4, e1) = e1 % 58.58/24.01 | % 58.58/24.01 | From (709) and (42) follows: % 58.58/24.01 | (713) op(e0, e4) = e0 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.58/24.01 | (455) e3 = e1 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.58/24.01 | (676) e3 = e0 % 58.58/24.01 | % 58.58/24.01 | Combining equations (455,676) yields a new equation: % 58.58/24.01 | (546) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Simplifying 546 yields: % 58.58/24.01 | (431) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (431) can reduce 233 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (724) ~ (unit = e4) % 58.58/24.01 | (725) unit = e3 | unit = e1 | unit = e0 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (725), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (726) unit = e0 % 58.58/24.01 | % 58.58/24.01 | From (726) and (244) follows: % 58.58/24.01 | (2207) op(e0, e4) = e4 % 58.58/24.01 | % 58.58/24.01 | From (726) and (211) follows: % 58.58/24.01 | (15180) op(e0, e1) = e1 % 58.58/24.01 | % 58.58/24.01 | From (726) and (40) follows: % 58.58/24.01 | (1639) op(e3, e0) = e3 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.58/24.01 | (676) e3 = e0 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.58/24.01 | (425) e4 = e3 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 58.58/24.01 | (630) e4 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (425,630) yields a new equation: % 58.58/24.01 | (454) e3 = e1 % 58.58/24.01 | % 58.58/24.01 | Simplifying 454 yields: % 58.58/24.01 | (455) e3 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (455,676) yields a new equation: % 58.58/24.01 | (546) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Simplifying 546 yields: % 58.58/24.01 | (431) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (431) can reduce 233 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (734) ~ (unit = e0) % 58.58/24.01 | (735) unit = e3 | unit = e1 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (735), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (736) unit = e1 % 58.58/24.01 | % 58.58/24.01 | Equations (736) can reduce 734 to: % 58.58/24.01 | (233) ~ (e1 = e0) % 58.58/24.01 | % 58.58/24.01 | From (736) and (15) follows: % 58.58/24.01 | (515) op(e1, e2) = e2 % 58.58/24.01 | % 58.58/24.01 | From (736) and (28) follows: % 58.58/24.01 | (740) op(e1, e1) = e1 % 58.58/24.01 | % 58.58/24.01 | From (736) and (42) follows: % 58.58/24.01 | (3221) op(e0, e1) = e0 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.58/24.01 | (323) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.58/24.01 | (617) e2 = e1 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 58.58/24.01 | (397) e4 = e0 % 58.58/24.01 | % 58.58/24.01 | Combining equations (323,397) yields a new equation: % 58.58/24.01 | (391) e2 = e0 % 58.58/24.01 | % 58.58/24.01 | Simplifying 391 yields: % 58.58/24.01 | (330) e2 = e0 % 58.58/24.01 | % 58.58/24.01 | Combining equations (617,330) yields a new equation: % 58.58/24.01 | (546) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Simplifying 546 yields: % 58.58/24.01 | (431) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (431) can reduce 233 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (748) ~ (unit = e1) % 58.58/24.01 | (749) unit = e3 % 58.58/24.01 | % 58.58/24.01 | From (749) and (244) follows: % 58.58/24.01 | (750) op(e3, e4) = e4 % 58.58/24.01 | % 58.58/24.01 | From (749) and (227) follows: % 58.58/24.01 | (22570) op(e4, e3) = e4 % 58.58/24.01 | % 58.58/24.01 | From (749) and (40) follows: % 58.58/24.01 | (3715) op(e3, e3) = e3 % 58.58/24.01 | % 58.58/24.01 | From (749) and (28) follows: % 58.58/24.01 | (2235) op(e1, e3) = e1 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.58/24.01 | (397) e4 = e0 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.58/24.01 | (323) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.58/24.01 | (425) e4 = e3 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.58/24.01 | (455) e3 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (397,323) yields a new equation: % 58.58/24.01 | (330) e2 = e0 % 58.58/24.01 | % 58.58/24.01 | Combining equations (425,323) yields a new equation: % 58.58/24.01 | (661) e3 = e2 % 58.58/24.01 | % 58.58/24.01 | Simplifying 661 yields: % 58.58/24.01 | (662) e3 = e2 % 58.58/24.01 | % 58.58/24.01 | Combining equations (662,455) yields a new equation: % 58.58/24.01 | (616) e2 = e1 % 58.58/24.01 | % 58.58/24.01 | Simplifying 616 yields: % 58.58/24.01 | (617) e2 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (617,330) yields a new equation: % 58.58/24.01 | (546) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Simplifying 546 yields: % 58.58/24.01 | (431) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (431) can reduce 233 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (475) ~ (all_0_51_51 = e4) % 58.58/24.01 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (164), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (471) all_0_39_39 = e4 % 58.58/24.01 | % 58.58/24.01 | Combining equations (471,317) yields a new equation: % 58.58/24.01 | (322) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Simplifying 322 yields: % 58.58/24.01 | (323) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Equations (323) can reduce 48 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (1377) ~ (all_0_39_39 = e4) % 58.58/24.01 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.58/24.01 | % 58.58/24.01 | Equations (317) can reduce 1377 to: % 58.58/24.01 | (327) ~ (e4 = e2) % 58.58/24.01 | % 58.58/24.01 | Simplifying 327 yields: % 58.58/24.01 | (48) ~ (e4 = e2) % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (1294), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (565) all_0_52_52 = e4 % 58.58/24.01 | % 58.58/24.01 | Combining equations (352,565) yields a new equation: % 58.58/24.01 | (323) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Equations (323) can reduce 48 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (780) ~ (all_0_52_52 = e4) % 58.58/24.01 | (1298) all_0_53_53 = e4 % 58.58/24.01 | % 58.58/24.01 | Combining equations (1208,1298) yields a new equation: % 58.58/24.01 | (630) e4 = e1 % 58.58/24.01 | % 58.58/24.01 | Equations (630) can reduce 110 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (440) ~ (all_0_41_41 = e4) % 58.58/24.01 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (4049), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (794) all_0_41_41 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (794) can reduce 357 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (357) ~ (all_0_41_41 = e0) % 58.58/24.01 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (4053), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (453) all_0_41_41 = e1 % 58.58/24.01 | % 58.58/24.01 | Equations (453) can reduce 457 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (457) ~ (all_0_41_41 = e1) % 58.58/24.01 | (403) all_0_41_41 = e3 % 58.58/24.01 | % 58.58/24.01 | Equations (403) can reduce 1898 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (411) ~ (all_0_50_50 = e3) % 58.58/24.01 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (144), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (403) all_0_41_41 = e3 % 58.58/24.01 | % 58.58/24.01 | Equations (403) can reduce 214 to: % 58.58/24.01 | (404) ~ (all_0_42_42 = e3) % 58.58/24.01 | % 58.58/24.01 | Simplifying 404 yields: % 58.58/24.01 | (405) ~ (all_0_42_42 = e3) % 58.58/24.01 | % 58.58/24.01 | Equations (403) can reduce 457 to: % 58.58/24.01 | (213) ~ (e3 = e1) % 58.58/24.01 | % 58.58/24.01 | Equations (403) can reduce 357 to: % 58.58/24.01 | (80) ~ (e3 = e0) % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (180), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (516) all_0_42_42 = e3 % 58.58/24.01 | % 58.58/24.01 | Equations (516) can reduce 405 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (405) ~ (all_0_42_42 = e3) % 58.58/24.01 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (241), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (378) all_0_50_50 = e2 % 58.58/24.01 | % 58.58/24.01 | Equations (378) can reduce 302 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (302) ~ (all_0_50_50 = e2) % 58.58/24.01 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (521), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (522) all_0_47_47 = e3 % 58.58/24.01 | % 58.58/24.01 | Combining equations (654,522) yields a new equation: % 58.58/24.01 | (455) e3 = e1 % 58.58/24.01 | % 58.58/24.01 | Equations (455) can reduce 213 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.01 | (1091) ~ (all_0_47_47 = e3) % 58.58/24.01 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.58/24.01 | % 58.58/24.01 | Equations (654) can reduce 1091 to: % 58.58/24.01 | (467) ~ (e3 = e1) % 58.58/24.01 | % 58.58/24.01 | Simplifying 467 yields: % 58.58/24.01 | (213) ~ (e3 = e1) % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (152), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (1392) all_0_42_42 = e4 % 58.58/24.01 | % 58.58/24.01 | From (1392) and (210) follows: % 58.58/24.01 | (4074) op(e3, e2) = e4 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (231), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (775) all_0_50_50 = e4 % 58.58/24.01 | % 58.58/24.01 | From (775) and (242) follows: % 58.58/24.01 | (5059) op(e1, e3) = e4 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (1092), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (660) all_0_51_51 = e3 % 58.58/24.01 | % 58.58/24.01 | From (660) and (186) follows: % 58.58/24.01 | (1552) op(e1, e2) = e3 % 58.58/24.01 | % 58.58/24.01 +-Applying beta-rule and splitting (56), into two cases. % 58.58/24.01 |-Branch one: % 58.58/24.01 | (696) unit = e2 % 58.58/24.01 | % 58.58/24.01 | From (696) and (209) follows: % 58.58/24.01 | (7585) op(e2, e0) = e0 % 58.58/24.01 | % 58.58/24.01 | From (696) and (227) follows: % 58.58/24.01 | (4284) op(e4, e2) = e4 % 58.58/24.01 | % 58.58/24.01 | From (696) and (40) follows: % 58.58/24.01 | (4285) op(e3, e2) = e3 % 58.58/24.01 | % 58.58/24.01 | From (696) and (28) follows: % 58.58/24.01 | (699) op(e1, e2) = e1 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.58/24.01 | (323) e4 = e2 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.58/24.01 | (425) e4 = e3 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 58.58/24.01 | (676) e3 = e0 % 58.58/24.01 | % 58.58/24.01 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.58/24.01 | (455) e3 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (323,425) yields a new equation: % 58.58/24.01 | (662) e3 = e2 % 58.58/24.01 | % 58.58/24.01 | Combining equations (455,662) yields a new equation: % 58.58/24.01 | (617) e2 = e1 % 58.58/24.01 | % 58.58/24.01 | Combining equations (676,662) yields a new equation: % 58.58/24.01 | (330) e2 = e0 % 58.58/24.01 | % 58.58/24.01 | Combining equations (330,617) yields a new equation: % 58.58/24.01 | (431) e1 = e0 % 58.58/24.01 | % 58.58/24.01 | Equations (431) can reduce 233 to: % 58.58/24.01 | (266) $false % 58.58/24.01 | % 58.58/24.01 |-The branch is then unsatisfiable % 58.58/24.01 |-Branch two: % 58.58/24.02 | (707) ~ (unit = e2) % 58.58/24.02 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (708), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (709) unit = e4 % 58.58/24.02 | % 58.58/24.02 | From (709) and (211) follows: % 58.58/24.02 | (22527) op(e4, e1) = e1 % 58.58/24.02 | % 58.58/24.02 | From (709) and (42) follows: % 58.58/24.02 | (713) op(e0, e4) = e0 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.58/24.02 | (455) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.58/24.02 | (676) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Combining equations (455,676) yields a new equation: % 58.58/24.02 | (546) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 546 yields: % 58.58/24.02 | (431) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (431) can reduce 233 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (724) ~ (unit = e4) % 58.58/24.02 | (725) unit = e3 | unit = e1 | unit = e0 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (725), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (726) unit = e0 % 58.58/24.02 | % 58.58/24.02 | From (726) and (244) follows: % 58.58/24.02 | (2207) op(e0, e4) = e4 % 58.58/24.02 | % 58.58/24.02 | From (726) and (211) follows: % 58.58/24.02 | (15180) op(e0, e1) = e1 % 58.58/24.02 | % 58.58/24.02 | From (726) and (40) follows: % 58.58/24.02 | (1639) op(e3, e0) = e3 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.58/24.02 | (676) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.58/24.02 | (425) e4 = e3 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 58.58/24.02 | (630) e4 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (425,630) yields a new equation: % 58.58/24.02 | (454) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Simplifying 454 yields: % 58.58/24.02 | (455) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (455,676) yields a new equation: % 58.58/24.02 | (546) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 546 yields: % 58.58/24.02 | (431) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (431) can reduce 233 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (734) ~ (unit = e0) % 58.58/24.02 | (735) unit = e3 | unit = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (735), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (736) unit = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (736) can reduce 734 to: % 58.58/24.02 | (233) ~ (e1 = e0) % 58.58/24.02 | % 58.58/24.02 | From (736) and (15) follows: % 58.58/24.02 | (515) op(e1, e2) = e2 % 58.58/24.02 | % 58.58/24.02 | From (736) and (40) follows: % 58.58/24.02 | (1652) op(e3, e1) = e3 % 58.58/24.02 | % 58.58/24.02 | From (736) and (32) follows: % 58.58/24.02 | (347) op(e2, e1) = e2 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 58.58/24.02 | (455) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 58.58/24.02 | (330) e2 = e0 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.58/24.02 | (662) e3 = e2 % 58.58/24.02 | % 58.58/24.02 | Combining equations (662,455) yields a new equation: % 58.58/24.02 | (616) e2 = e1 % 58.58/24.02 | % 58.58/24.02 | Simplifying 616 yields: % 58.58/24.02 | (617) e2 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (330,617) yields a new equation: % 58.58/24.02 | (431) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (431) can reduce 233 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (748) ~ (unit = e1) % 58.58/24.02 | (749) unit = e3 % 58.58/24.02 | % 58.58/24.02 | From (749) and (15) follows: % 58.58/24.02 | (751) op(e3, e2) = e2 % 58.58/24.02 | % 58.58/24.02 | From (749) and (227) follows: % 58.58/24.02 | (22570) op(e4, e3) = e4 % 58.58/24.02 | % 58.58/24.02 | From (749) and (28) follows: % 58.58/24.02 | (2235) op(e1, e3) = e1 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.58/24.02 | (397) e4 = e0 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 58.58/24.02 | (323) e4 = e2 % 58.58/24.02 | % 58.58/24.02 | Instantiating formula (29) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields: % 58.58/24.02 | (630) e4 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (397,323) yields a new equation: % 58.58/24.02 | (330) e2 = e0 % 58.58/24.02 | % 58.58/24.02 | Combining equations (630,323) yields a new equation: % 58.58/24.02 | (617) e2 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (617,330) yields a new equation: % 58.58/24.02 | (546) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 546 yields: % 58.58/24.02 | (431) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (431) can reduce 233 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (664) ~ (all_0_51_51 = e3) % 58.58/24.02 | (1097) all_0_56_56 = e3 % 58.58/24.02 | % 58.58/24.02 | Combining equations (1097,679) yields a new equation: % 58.58/24.02 | (675) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 675 yields: % 58.58/24.02 | (676) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (676) can reduce 80 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (566) ~ (all_0_50_50 = e4) % 58.58/24.02 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (418), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (660) all_0_51_51 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (660) can reduce 59 to: % 58.58/24.02 | (411) ~ (all_0_50_50 = e3) % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (422), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (775) all_0_50_50 = e4 % 58.58/24.02 | % 58.58/24.02 | Equations (775) can reduce 566 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (566) ~ (all_0_50_50 = e4) % 58.58/24.02 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (1444), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (601) all_0_50_50 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (601) can reduce 759 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (759) ~ (all_0_50_50 = e1) % 58.58/24.02 | (415) all_0_50_50 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (415) can reduce 411 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (664) ~ (all_0_51_51 = e3) % 58.58/24.02 | (665) all_0_53_53 = e3 % 58.58/24.02 | % 58.58/24.02 | Combining equations (665,1208) yields a new equation: % 58.58/24.02 | (454) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Simplifying 454 yields: % 58.58/24.02 | (455) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (455) can reduce 213 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (1890) ~ (all_0_42_42 = e4) % 58.58/24.02 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (1092), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (660) all_0_51_51 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (660) can reduce 61 to: % 58.58/24.02 | (405) ~ (all_0_42_42 = e3) % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (1969), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (559) all_0_42_42 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (559) can reduce 358 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (358) ~ (all_0_42_42 = e0) % 58.58/24.02 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (2510), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (459) all_0_42_42 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (459) can reduce 1380 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (1380) ~ (all_0_42_42 = e1) % 58.58/24.02 | (516) all_0_42_42 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (516) can reduce 405 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (664) ~ (all_0_51_51 = e3) % 58.58/24.02 | (1097) all_0_56_56 = e3 % 58.58/24.02 | % 58.58/24.02 | Combining equations (679,1097) yields a new equation: % 58.58/24.02 | (676) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (676) can reduce 80 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (1898) ~ (all_0_41_41 = e3) % 58.58/24.02 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (113), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (403) all_0_41_41 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (403) can reduce 1898 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (1898) ~ (all_0_41_41 = e3) % 58.58/24.02 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (1899), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (516) all_0_42_42 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (516) can reduce 61 to: % 58.58/24.02 | (1925) ~ (all_0_51_51 = e3) % 58.58/24.02 | % 58.58/24.02 | Simplifying 1925 yields: % 58.58/24.02 | (664) ~ (all_0_51_51 = e3) % 58.58/24.02 | % 58.58/24.02 | Equations (516) can reduce 1380 to: % 58.58/24.02 | (213) ~ (e3 = e1) % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (418), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (660) all_0_51_51 = e3 % 58.58/24.02 | % 58.58/24.02 | Equations (660) can reduce 664 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (664) ~ (all_0_51_51 = e3) % 58.58/24.02 | (665) all_0_53_53 = e3 % 58.58/24.02 | % 58.58/24.02 | Combining equations (665,1208) yields a new equation: % 58.58/24.02 | (454) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Simplifying 454 yields: % 58.58/24.02 | (455) e3 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (455) can reduce 213 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (405) ~ (all_0_42_42 = e3) % 58.58/24.02 | (532) all_0_44_44 = e3 % 58.58/24.02 | % 58.58/24.02 | Combining equations (532,1414) yields a new equation: % 58.58/24.02 | (675) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 675 yields: % 58.58/24.02 | (676) e3 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (676) can reduce 80 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (1283) ~ (all_0_48_48 = e0) % 58.58/24.02 | (875) all_0_57_57 = e0 % 58.58/24.02 | % 58.58/24.02 | Combining equations (871,875) yields a new equation: % 58.58/24.02 | (481) e4 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 481 yields: % 58.58/24.02 | (397) e4 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (397) can reduce 49 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (433) ~ (all_0_43_43 = e1) % 58.58/24.02 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (434), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (615) all_0_48_48 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (615) can reduce 619 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (619) ~ (all_0_48_48 = e1) % 58.58/24.02 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (620), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (642) all_0_52_52 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (352,642) yields a new equation: % 58.58/24.02 | (616) e2 = e1 % 58.58/24.02 | % 58.58/24.02 | Simplifying 616 yields: % 58.58/24.02 | (617) e2 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (617) can reduce 122 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (646) ~ (all_0_52_52 = e1) % 58.58/24.02 | (647) all_0_57_57 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (647,871) yields a new equation: % 58.58/24.02 | (630) e4 = e1 % 58.58/24.02 | % 58.58/24.02 | Equations (630) can reduce 110 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.58/24.02 | % 58.58/24.02 | Applying alpha-rule on (819) yields: % 58.58/24.02 | (674) all_0_47_47 = e0 % 58.58/24.02 | (624) all_0_58_58 = e2 % 58.58/24.02 | (340) ~ (all_0_49_49 = e2) % 58.58/24.02 | % 58.58/24.02 | Equations (674) can reduce 678 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.58/24.02 | % 58.58/24.02 | Applying alpha-rule on (825) yields: % 58.58/24.02 | (674) all_0_47_47 = e0 % 58.58/24.02 | (624) all_0_58_58 = e2 % 58.58/24.02 | (828) ~ (all_0_56_56 = e0) % 58.58/24.02 | % 58.58/24.02 | Equations (679) can reduce 828 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (632) ~ (all_0_55_55 = e1) % 58.58/24.02 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (633), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (1569) all_0_56_56 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (1569,679) yields a new equation: % 58.58/24.02 | (546) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Simplifying 546 yields: % 58.58/24.02 | (431) e1 = e0 % 58.58/24.02 | % 58.58/24.02 | Equations (431) can reduce 233 to: % 58.58/24.02 | (266) $false % 58.58/24.02 | % 58.58/24.02 |-The branch is then unsatisfiable % 58.58/24.02 |-Branch two: % 58.58/24.02 | (466) ~ (all_0_56_56 = e1) % 58.58/24.02 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.58/24.02 | % 58.58/24.02 +-Applying beta-rule and splitting (1574), into two cases. % 58.58/24.02 |-Branch one: % 58.58/24.02 | (647) all_0_57_57 = e1 % 58.58/24.02 | % 58.58/24.02 | Combining equations (871,647) yields a new equation: % 58.58/24.02 | (636) e4 = e1 % 58.58/24.02 | % 58.58/24.02 | Simplifying 636 yields: % 58.58/24.03 | (630) e4 = e1 % 58.58/24.03 | % 58.58/24.03 | Equations (630) can reduce 110 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (1670) ~ (all_0_57_57 = e1) % 58.58/24.03 | (918) all_0_58_58 = e1 % 58.58/24.03 | % 58.58/24.03 | Combining equations (918,624) yields a new equation: % 58.58/24.03 | (617) e2 = e1 % 58.58/24.03 | % 58.58/24.03 | Equations (617) can reduce 122 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (828) ~ (all_0_56_56 = e0) % 58.58/24.03 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (924), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (875) all_0_57_57 = e0 % 58.58/24.03 | % 58.58/24.03 | Combining equations (871,875) yields a new equation: % 58.58/24.03 | (481) e4 = e0 % 58.58/24.03 | % 58.58/24.03 | Simplifying 481 yields: % 58.58/24.03 | (397) e4 = e0 % 58.58/24.03 | % 58.58/24.03 | Equations (397) can reduce 49 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (364) ~ (all_0_57_57 = e0) % 58.58/24.03 | (914) all_0_58_58 = e0 % 58.58/24.03 | % 58.58/24.03 | Combining equations (914,624) yields a new equation: % 58.58/24.03 | (330) e2 = e0 % 58.58/24.03 | % 58.58/24.03 | Equations (330) can reduce 128 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (300) ~ (all_0_46_46 = e2) % 58.58/24.03 | (10171) all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (117), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (292) all_0_38_38 = e2 % 58.58/24.03 | % 58.58/24.03 | Combining equations (292,329) yields a new equation: % 58.58/24.03 | (391) e2 = e0 % 58.58/24.03 | % 58.58/24.03 | Simplifying 391 yields: % 58.58/24.03 | (330) e2 = e0 % 58.58/24.03 | % 58.58/24.03 | Equations (330) can reduce 128 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (9600) ~ (all_0_38_38 = e2) % 58.58/24.03 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (24424), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (1794) all_0_46_46 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (1794) can reduce 300 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (300) ~ (all_0_46_46 = e2) % 58.58/24.03 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (24428), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (378) all_0_50_50 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (378) can reduce 302 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (302) ~ (all_0_50_50 = e2) % 58.58/24.03 | (386) all_0_55_55 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (386) can reduce 191 to: % 58.58/24.03 | (85) ~ (all_0_41_41 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (386) can reduce 93 to: % 58.58/24.03 | (302) ~ (all_0_50_50 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (386) can reduce 153 to: % 58.58/24.03 | (510) ~ (all_0_56_56 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 510 yields: % 58.58/24.03 | (511) ~ (all_0_56_56 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (386) can reduce 81 to: % 58.58/24.03 | (343) ~ (all_0_57_57 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 343 yields: % 58.58/24.03 | (344) ~ (all_0_57_57 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (386) can reduce 3 to: % 58.58/24.03 | (1186) ~ (all_0_58_58 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 1186 yields: % 58.58/24.03 | (908) ~ (all_0_58_58 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (386) can reduce 270 to: % 58.58/24.03 | (626) ~ (e3 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 626 yields: % 58.58/24.03 | (212) ~ (e3 = e2) % 58.58/24.03 | % 58.58/24.03 | From (386) and (74) follows: % 58.58/24.03 | (24443) op(e0, e3) = e2 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (158), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (313) all_0_40_40 = e2 % 58.58/24.03 | % 58.58/24.03 | Combining equations (1378,313) yields a new equation: % 58.58/24.03 | (322) e4 = e2 % 58.58/24.03 | % 58.58/24.03 | Simplifying 322 yields: % 58.58/24.03 | (323) e4 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (323) can reduce 48 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (296) ~ (all_0_40_40 = e2) % 58.58/24.03 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (377), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (583) all_0_49_49 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (583) can reduce 9 to: % 58.58/24.03 | (147) ~ (all_0_44_44 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (583) can reduce 86 to: % 58.58/24.03 | (338) ~ (all_0_47_47 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (583) can reduce 185 to: % 58.58/24.03 | (810) ~ (all_0_48_48 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (583) can reduce 119 to: % 58.58/24.03 | (1186) ~ (all_0_58_58 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 1186 yields: % 58.58/24.03 | (908) ~ (all_0_58_58 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (583) can reduce 256 to: % 58.58/24.03 | (327) ~ (e4 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 327 yields: % 58.58/24.03 | (48) ~ (e4 = e2) % 58.58/24.03 | % 58.58/24.03 | From (583) and (55) follows: % 58.58/24.03 | (727) op(e2, e0) = e2 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (163), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (565) all_0_52_52 = e4 % 58.58/24.03 | % 58.58/24.03 | Combining equations (352,565) yields a new equation: % 58.58/24.03 | (323) e4 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (323) can reduce 48 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (780) ~ (all_0_52_52 = e4) % 58.58/24.03 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.58/24.03 | % 58.58/24.03 | Equations (352) can reduce 780 to: % 58.58/24.03 | (327) ~ (e4 = e2) % 58.58/24.03 | % 58.58/24.03 | Simplifying 327 yields: % 58.58/24.03 | (48) ~ (e4 = e2) % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (781), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (789), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (790), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (791), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (792), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.58/24.03 | % 58.58/24.03 | Applying alpha-rule on (793) yields: % 58.58/24.03 | (794) all_0_41_41 = e0 % 58.58/24.03 | (795) all_0_58_58 = e3 % 58.58/24.03 | (407) ~ (all_0_44_44 = e3) % 58.58/24.03 | % 58.58/24.03 | Equations (795) can reduce 276 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.58/24.03 | % 58.58/24.03 | Applying alpha-rule on (800) yields: % 58.58/24.03 | (794) all_0_41_41 = e0 % 58.58/24.03 | (795) all_0_58_58 = e3 % 58.58/24.03 | (803) ~ (all_0_55_55 = e0) % 58.58/24.03 | % 58.58/24.03 | Equations (795) can reduce 276 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.58/24.03 | % 58.58/24.03 | Applying alpha-rule on (807) yields: % 58.58/24.03 | (654) all_0_47_47 = e1 % 58.58/24.03 | (352) all_0_52_52 = e2 % 58.58/24.03 | (810) ~ (all_0_48_48 = e2) % 58.58/24.03 | % 58.58/24.03 | Equations (654) can reduce 114 to: % 58.58/24.03 | (11581) ~ (all_0_48_48 = e1) % 58.58/24.03 | % 58.58/24.03 | Simplifying 11581 yields: % 58.58/24.03 | (619) ~ (all_0_48_48 = e1) % 58.58/24.03 | % 58.58/24.03 | Equations (654) can reduce 224 to: % 58.58/24.03 | (463) ~ (all_0_51_51 = e1) % 58.58/24.03 | % 58.58/24.03 | Simplifying 463 yields: % 58.58/24.03 | (464) ~ (all_0_51_51 = e1) % 58.58/24.03 | % 58.58/24.03 | Equations (654) can reduce 91 to: % 58.58/24.03 | (465) ~ (all_0_56_56 = e1) % 58.58/24.03 | % 58.58/24.03 | Simplifying 465 yields: % 58.58/24.03 | (466) ~ (all_0_56_56 = e1) % 58.58/24.03 | % 58.58/24.03 | Equations (654) can reduce 252 to: % 58.58/24.03 | (602) ~ (e4 = e1) % 58.58/24.03 | % 58.58/24.03 | Simplifying 602 yields: % 58.58/24.03 | (110) ~ (e4 = e1) % 58.58/24.03 | % 58.58/24.03 | Equations (654) can reduce 338 to: % 58.58/24.03 | (604) ~ (e2 = e1) % 58.58/24.03 | % 58.58/24.03 | Simplifying 604 yields: % 58.58/24.03 | (122) ~ (e2 = e1) % 58.58/24.03 | % 58.58/24.03 | From (654) and (23) follows: % 58.58/24.03 | (9478) op(e2, e2) = e1 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (228), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (335) all_0_48_48 = e2 % 58.58/24.03 | % 58.58/24.03 | Equations (335) can reduce 810 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (810) ~ (all_0_48_48 = e2) % 58.58/24.03 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 58.58/24.03 | % 58.58/24.03 +-Applying beta-rule and splitting (10218), into two cases. % 58.58/24.03 |-Branch one: % 58.58/24.03 | (943) all_0_48_48 = e4 % 58.58/24.03 | % 58.58/24.03 | Equations (943) can reduce 254 to: % 58.58/24.03 | (266) $false % 58.58/24.03 | % 58.58/24.03 |-The branch is then unsatisfiable % 58.58/24.03 |-Branch two: % 58.58/24.03 | (254) ~ (all_0_48_48 = e4) % 58.58/24.03 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 58.58/24.03 | % 58.66/24.03 +-Applying beta-rule and splitting (10222), into two cases. % 58.66/24.03 |-Branch one: % 58.66/24.03 | (1279) all_0_48_48 = e0 % 58.66/24.03 | % 58.66/24.03 | Equations (1279) can reduce 17 to: % 58.66/24.03 | (5470) ~ (all_0_43_43 = e0) % 58.66/24.03 | % 58.66/24.03 | Equations (1279) can reduce 30 to: % 58.66/24.03 | (831) ~ (all_0_46_46 = e0) % 58.66/24.03 | % 58.66/24.03 | Equations (1279) can reduce 239 to: % 58.66/24.03 | (363) ~ (all_0_57_57 = e0) % 58.66/24.03 | % 58.66/24.03 | Simplifying 363 yields: % 58.66/24.03 | (364) ~ (all_0_57_57 = e0) % 58.66/24.03 | % 58.66/24.03 | Equations (1279) can reduce 254 to: % 58.66/24.03 | (401) ~ (e4 = e0) % 58.66/24.03 | % 58.66/24.03 | Simplifying 401 yields: % 58.66/24.03 | (49) ~ (e4 = e0) % 58.66/24.03 | % 58.66/24.03 | Equations (1279) can reduce 810 to: % 58.66/24.03 | (365) ~ (e2 = e0) % 58.66/24.03 | % 58.66/24.03 | Simplifying 365 yields: % 58.66/24.03 | (128) ~ (e2 = e0) % 58.66/24.03 | % 58.66/24.03 | Equations (1279) can reduce 619 to: % 58.66/24.03 | (435) ~ (e1 = e0) % 58.66/24.03 | % 58.66/24.03 | Simplifying 435 yields: % 58.66/24.03 | (233) ~ (e1 = e0) % 58.66/24.03 | % 58.66/24.03 +-Applying beta-rule and splitting (78), into two cases. % 58.66/24.03 |-Branch one: % 58.66/24.03 | (423) all_0_45_45 = e3 % 58.66/24.03 | % 58.66/24.03 | Combining equations (423,248) yields a new equation: % 58.66/24.03 | (425) e4 = e3 % 58.66/24.03 | % 58.66/24.03 | Equations (425) can reduce 188 to: % 58.66/24.03 | (266) $false % 58.66/24.03 | % 58.66/24.03 |-The branch is then unsatisfiable % 58.66/24.03 |-Branch two: % 58.66/24.03 | (427) ~ (all_0_45_45 = e3) % 58.66/24.03 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.66/24.03 | % 58.66/24.03 +-Applying beta-rule and splitting (428), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (1557) all_0_46_46 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (1557) can reduce 43 to: % 58.66/24.04 | (1898) ~ (all_0_41_41 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (1557) can reduce 35 to: % 58.66/24.04 | (410) ~ (all_0_50_50 = e3) % 58.66/24.04 | % 58.66/24.04 | Simplifying 410 yields: % 58.66/24.04 | (411) ~ (all_0_50_50 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (1557) can reduce 250 to: % 58.66/24.04 | (277) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 | Simplifying 277 yields: % 58.66/24.04 | (188) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (1557) can reduce 831 to: % 58.66/24.04 | (80) ~ (e3 = e0) % 58.66/24.04 | % 58.66/24.04 | From (1557) and (120) follows: % 58.66/24.04 | (697) op(e2, e3) = e3 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (113), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (403) all_0_41_41 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (403) can reduce 1898 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (1898) ~ (all_0_41_41 = e3) % 58.66/24.04 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (195), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (396) all_0_43_43 = e4 % 58.66/24.04 | % 58.66/24.04 | Equations (396) can reduce 31 to: % 58.66/24.04 | (440) ~ (all_0_41_41 = e4) % 58.66/24.04 | % 58.66/24.04 | Equations (396) can reduce 240 to: % 58.66/24.04 | (1890) ~ (all_0_42_42 = e4) % 58.66/24.04 | % 58.66/24.04 | Equations (396) can reduce 159 to: % 58.66/24.04 | (1903) ~ (all_0_44_44 = e4) % 58.66/24.04 | % 58.66/24.04 | Simplifying 1903 yields: % 58.66/24.04 | (1390) ~ (all_0_44_44 = e4) % 58.66/24.04 | % 58.66/24.04 | Equations (396) can reduce 99 to: % 58.66/24.04 | (188) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (396) can reduce 96 to: % 58.66/24.04 | (48) ~ (e4 = e2) % 58.66/24.04 | % 58.66/24.04 | Equations (396) can reduce 5470 to: % 58.66/24.04 | (49) ~ (e4 = e0) % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (62), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (321) all_0_38_38 = e4 % 58.66/24.04 | % 58.66/24.04 | Combining equations (321,329) yields a new equation: % 58.66/24.04 | (481) e4 = e0 % 58.66/24.04 | % 58.66/24.04 | Simplifying 481 yields: % 58.66/24.04 | (397) e4 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (397) can reduce 49 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (325) ~ (all_0_38_38 = e4) % 58.66/24.04 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (130), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (430) all_0_43_43 = e1 % 58.66/24.04 | % 58.66/24.04 | Combining equations (430,396) yields a new equation: % 58.66/24.04 | (630) e4 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (630) can reduce 110 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (433) ~ (all_0_43_43 = e1) % 58.66/24.04 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (582), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (437) all_0_41_41 = e4 % 58.66/24.04 | % 58.66/24.04 | Equations (437) can reduce 440 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (440) ~ (all_0_41_41 = e4) % 58.66/24.04 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (27), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (437) all_0_41_41 = e4 % 58.66/24.04 | % 58.66/24.04 | Equations (437) can reduce 440 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (440) ~ (all_0_41_41 = e4) % 58.66/24.04 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (434), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (615) all_0_48_48 = e1 % 58.66/24.04 | % 58.66/24.04 | Combining equations (1279,615) yields a new equation: % 58.66/24.04 | (431) e1 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (431) can reduce 233 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (619) ~ (all_0_48_48 = e1) % 58.66/24.04 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (4049), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (794) all_0_41_41 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (794) can reduce 357 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (357) ~ (all_0_41_41 = e0) % 58.66/24.04 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (620), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (642) all_0_52_52 = e1 % 58.66/24.04 | % 58.66/24.04 | Combining equations (642,352) yields a new equation: % 58.66/24.04 | (617) e2 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (617) can reduce 122 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (646) ~ (all_0_52_52 = e1) % 58.66/24.04 | (647) all_0_57_57 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (647) can reduce 148 to: % 58.66/24.04 | (879) ~ (all_0_58_58 = e1) % 58.66/24.04 | % 58.66/24.04 | Simplifying 879 yields: % 58.66/24.04 | (880) ~ (all_0_58_58 = e1) % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (4053), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (453) all_0_41_41 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (453) can reduce 214 to: % 58.66/24.04 | (4055) ~ (all_0_42_42 = e1) % 58.66/24.04 | % 58.66/24.04 | Simplifying 4055 yields: % 58.66/24.04 | (1380) ~ (all_0_42_42 = e1) % 58.66/24.04 | % 58.66/24.04 | Equations (453) can reduce 149 to: % 58.66/24.04 | (4057) ~ (all_0_44_44 = e1) % 58.66/24.04 | % 58.66/24.04 | Simplifying 4057 yields: % 58.66/24.04 | (639) ~ (all_0_44_44 = e1) % 58.66/24.04 | % 58.66/24.04 | Equations (453) can reduce 1898 to: % 58.66/24.04 | (467) ~ (e3 = e1) % 58.66/24.04 | % 58.66/24.04 | Simplifying 467 yields: % 58.66/24.04 | (213) ~ (e3 = e1) % 58.66/24.04 | % 58.66/24.04 | Equations (453) can reduce 85 to: % 58.66/24.04 | (604) ~ (e2 = e1) % 58.66/24.04 | % 58.66/24.04 | Simplifying 604 yields: % 58.66/24.04 | (122) ~ (e2 = e1) % 58.66/24.04 | % 58.66/24.04 | From (453) and (219) follows: % 58.66/24.04 | (12512) op(e3, e3) = e1 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (112), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (635) all_0_44_44 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (635) can reduce 639 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (639) ~ (all_0_44_44 = e1) % 58.66/24.04 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (640), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (671) all_0_49_49 = e1 % 58.66/24.04 | % 58.66/24.04 | Combining equations (583,671) yields a new equation: % 58.66/24.04 | (616) e2 = e1 % 58.66/24.04 | % 58.66/24.04 | Simplifying 616 yields: % 58.66/24.04 | (617) e2 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (617) can reduce 122 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (1064) ~ (all_0_49_49 = e1) % 58.66/24.04 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (2141), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (1208) all_0_53_53 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (1208) can reduce 190 to: % 58.66/24.04 | (759) ~ (all_0_50_50 = e1) % 58.66/24.04 | % 58.66/24.04 | Equations (1208) can reduce 247 to: % 58.66/24.04 | (233) ~ (e1 = e0) % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (168), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (415) all_0_50_50 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (415) can reduce 411 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (411) ~ (all_0_50_50 = e3) % 58.66/24.04 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (769), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (770) all_0_46_46 = e4 % 58.66/24.04 | % 58.66/24.04 | Combining equations (770,1557) yields a new equation: % 58.66/24.04 | (424) e4 = e3 % 58.66/24.04 | % 58.66/24.04 | Simplifying 424 yields: % 58.66/24.04 | (425) e4 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (425) can reduce 188 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (250) ~ (all_0_46_46 = e4) % 58.66/24.04 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (418), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (660) all_0_51_51 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (660) can reduce 61 to: % 58.66/24.04 | (405) ~ (all_0_42_42 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (660) can reduce 115 to: % 58.66/24.04 | (80) ~ (e3 = e0) % 58.66/24.04 | % 58.66/24.04 | From (660) and (186) follows: % 58.66/24.04 | (1552) op(e1, e2) = e3 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (774), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (775) all_0_50_50 = e4 % 58.66/24.04 | % 58.66/24.04 | Equations (775) can reduce 302 to: % 58.66/24.04 | (48) ~ (e4 = e2) % 58.66/24.04 | % 58.66/24.04 | Equations (775) can reduce 759 to: % 58.66/24.04 | (110) ~ (e4 = e1) % 58.66/24.04 | % 58.66/24.04 | Equations (775) can reduce 121 to: % 58.66/24.04 | (49) ~ (e4 = e0) % 58.66/24.04 | % 58.66/24.04 | From (775) and (242) follows: % 58.66/24.04 | (5059) op(e1, e3) = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (189), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (532) all_0_44_44 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (532) can reduce 181 to: % 58.66/24.04 | (275) ~ (all_0_58_58 = e3) % 58.66/24.04 | % 58.66/24.04 | Simplifying 275 yields: % 58.66/24.04 | (276) ~ (all_0_58_58 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (532) can reduce 1390 to: % 58.66/24.04 | (277) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 | Simplifying 277 yields: % 58.66/24.04 | (188) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 | Equations (532) can reduce 147 to: % 58.66/24.04 | (212) ~ (e3 = e2) % 58.66/24.04 | % 58.66/24.04 | From (532) and (138) follows: % 58.66/24.04 | (1639) op(e3, e0) = e3 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (165), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (794) all_0_41_41 = e0 % 58.66/24.04 | % 58.66/24.04 | Combining equations (794,453) yields a new equation: % 58.66/24.04 | (431) e1 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (431) can reduce 233 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (357) ~ (all_0_41_41 = e0) % 58.66/24.04 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (171), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (265) all_0_54_54 = e4 % 58.66/24.04 | % 58.66/24.04 | Combining equations (265,268) yields a new equation: % 58.66/24.04 | (424) e4 = e3 % 58.66/24.04 | % 58.66/24.04 | Simplifying 424 yields: % 58.66/24.04 | (425) e4 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (425) can reduce 188 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (258) ~ (all_0_54_54 = e4) % 58.66/24.04 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.66/24.04 | % 58.66/24.04 | Equations (268) can reduce 258 to: % 58.66/24.04 | (277) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 | Simplifying 277 yields: % 58.66/24.04 | (188) ~ (e4 = e3) % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (108), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (624) all_0_58_58 = e2 % 58.66/24.04 | % 58.66/24.04 | Equations (624) can reduce 908 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (908) ~ (all_0_58_58 = e2) % 58.66/24.04 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (75), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (485) all_0_40_40 = e0 % 58.66/24.04 | % 58.66/24.04 | Combining equations (1378,485) yields a new equation: % 58.66/24.04 | (481) e4 = e0 % 58.66/24.04 | % 58.66/24.04 | Simplifying 481 yields: % 58.66/24.04 | (397) e4 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (397) can reduce 49 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (1401) ~ (all_0_40_40 = e0) % 58.66/24.04 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (164), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (471) all_0_39_39 = e4 % 58.66/24.04 | % 58.66/24.04 | Combining equations (471,317) yields a new equation: % 58.66/24.04 | (322) e4 = e2 % 58.66/24.04 | % 58.66/24.04 | Simplifying 322 yields: % 58.66/24.04 | (323) e4 = e2 % 58.66/24.04 | % 58.66/24.04 | Equations (323) can reduce 48 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (1377) ~ (all_0_39_39 = e4) % 58.66/24.04 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (1748), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (1414) all_0_44_44 = e0 % 58.66/24.04 | % 58.66/24.04 | Combining equations (532,1414) yields a new equation: % 58.66/24.04 | (675) e3 = e0 % 58.66/24.04 | % 58.66/24.04 | Simplifying 675 yields: % 58.66/24.04 | (676) e3 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (676) can reduce 80 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (360) ~ (all_0_44_44 = e0) % 58.66/24.04 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (2115), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (1392) all_0_42_42 = e4 % 58.66/24.04 | % 58.66/24.04 | Equations (1392) can reduce 1890 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (1890) ~ (all_0_42_42 = e4) % 58.66/24.04 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (1760), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (978) all_0_49_49 = e0 % 58.66/24.04 | % 58.66/24.04 | Combining equations (583,978) yields a new equation: % 58.66/24.04 | (391) e2 = e0 % 58.66/24.04 | % 58.66/24.04 | Simplifying 391 yields: % 58.66/24.04 | (330) e2 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (330) can reduce 128 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (487) ~ (all_0_49_49 = e0) % 58.66/24.04 | (914) all_0_58_58 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (914) can reduce 44 to: % 58.66/24.04 | (828) ~ (all_0_56_56 = e0) % 58.66/24.04 | % 58.66/24.04 | Equations (914) can reduce 276 to: % 58.66/24.04 | (541) ~ (e3 = e0) % 58.66/24.04 | % 58.66/24.04 | Simplifying 541 yields: % 58.66/24.04 | (80) ~ (e3 = e0) % 58.66/24.04 | % 58.66/24.04 | Equations (914) can reduce 908 to: % 58.66/24.04 | (365) ~ (e2 = e0) % 58.66/24.04 | % 58.66/24.04 | Simplifying 365 yields: % 58.66/24.04 | (128) ~ (e2 = e0) % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (2246), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (1790) all_0_47_47 = e4 % 58.66/24.04 | % 58.66/24.04 | Combining equations (1790,654) yields a new equation: % 58.66/24.04 | (636) e4 = e1 % 58.66/24.04 | % 58.66/24.04 | Simplifying 636 yields: % 58.66/24.04 | (630) e4 = e1 % 58.66/24.04 | % 58.66/24.04 | Equations (630) can reduce 110 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (252) ~ (all_0_47_47 = e4) % 58.66/24.04 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (104), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (480) all_0_39_39 = e0 % 58.66/24.04 | % 58.66/24.04 | Combining equations (480,317) yields a new equation: % 58.66/24.04 | (330) e2 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (330) can reduce 128 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (484) ~ (all_0_39_39 = e0) % 58.66/24.04 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (558), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (559) all_0_42_42 = e0 % 58.66/24.04 | % 58.66/24.04 | Equations (559) can reduce 1380 to: % 58.66/24.04 | (435) ~ (e1 = e0) % 58.66/24.04 | % 58.66/24.04 | Simplifying 435 yields: % 58.66/24.04 | (233) ~ (e1 = e0) % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (6548), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (1101) all_0_51_51 = e4 % 58.66/24.04 | % 58.66/24.04 | Combining equations (660,1101) yields a new equation: % 58.66/24.04 | (425) e4 = e3 % 58.66/24.04 | % 58.66/24.04 | Equations (425) can reduce 188 to: % 58.66/24.04 | (266) $false % 58.66/24.04 | % 58.66/24.04 |-The branch is then unsatisfiable % 58.66/24.04 |-Branch two: % 58.66/24.04 | (475) ~ (all_0_51_51 = e4) % 58.66/24.04 | (842) all_0_56_56 = e4 % 58.66/24.04 | % 58.66/24.04 | From (842) and (111) follows: % 58.66/24.04 | (2154) op(e0, e2) = e4 % 58.66/24.04 | % 58.66/24.04 +-Applying beta-rule and splitting (56), into two cases. % 58.66/24.04 |-Branch one: % 58.66/24.04 | (696) unit = e2 % 58.66/24.04 | % 58.66/24.04 | From (696) and (227) follows: % 58.66/24.04 | (4284) op(e4, e2) = e4 % 58.66/24.04 | % 58.66/24.04 | From (696) and (32) follows: % 58.66/24.04 | (698) op(e2, e2) = e2 % 58.66/24.04 | % 58.66/24.04 | From (696) and (42) follows: % 58.66/24.04 | (1613) op(e0, e2) = e0 % 58.66/24.04 | % 58.66/24.04 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.66/24.04 | (323) e4 = e2 % 58.66/24.04 | % 58.66/24.04 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 58.66/24.05 | (617) e2 = e1 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.66/24.05 | (397) e4 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (323,397) yields a new equation: % 58.66/24.05 | (391) e2 = e0 % 58.66/24.05 | % 58.66/24.05 | Simplifying 391 yields: % 58.66/24.05 | (330) e2 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (617,330) yields a new equation: % 58.66/24.05 | (546) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Simplifying 546 yields: % 58.66/24.05 | (431) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (431) can reduce 233 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (707) ~ (unit = e2) % 58.66/24.05 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (708), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (709) unit = e4 % 58.66/24.05 | % 58.66/24.05 | From (709) and (211) follows: % 58.66/24.05 | (22527) op(e4, e1) = e1 % 58.66/24.05 | % 58.66/24.05 | From (709) and (42) follows: % 58.66/24.05 | (713) op(e0, e4) = e0 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.66/24.05 | (455) e3 = e1 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.66/24.05 | (676) e3 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (455,676) yields a new equation: % 58.66/24.05 | (546) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Simplifying 546 yields: % 58.66/24.05 | (431) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (431) can reduce 233 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (724) ~ (unit = e4) % 58.66/24.05 | (725) unit = e3 | unit = e1 | unit = e0 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (725), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (726) unit = e0 % 58.66/24.05 | % 58.66/24.05 | From (726) and (244) follows: % 58.66/24.05 | (2207) op(e0, e4) = e4 % 58.66/24.05 | % 58.66/24.05 | From (726) and (15) follows: % 58.66/24.05 | (1508) op(e0, e2) = e2 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.66/24.05 | (425) e4 = e3 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.66/24.05 | (323) e4 = e2 % 58.66/24.05 | % 58.66/24.05 | Combining equations (425,323) yields a new equation: % 58.66/24.05 | (661) e3 = e2 % 58.66/24.05 | % 58.66/24.05 | Simplifying 661 yields: % 58.66/24.05 | (662) e3 = e2 % 58.66/24.05 | % 58.66/24.05 | Equations (662) can reduce 212 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (734) ~ (unit = e0) % 58.66/24.05 | (735) unit = e3 | unit = e1 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (735), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (736) unit = e1 % 58.66/24.05 | % 58.66/24.05 | Equations (736) can reduce 734 to: % 58.66/24.05 | (233) ~ (e1 = e0) % 58.66/24.05 | % 58.66/24.05 | From (736) and (244) follows: % 58.66/24.05 | (738) op(e1, e4) = e4 % 58.66/24.05 | % 58.66/24.05 | From (736) and (24) follows: % 58.66/24.05 | (1934) op(e1, e3) = e3 % 58.66/24.05 | % 58.66/24.05 | From (736) and (15) follows: % 58.66/24.05 | (515) op(e1, e2) = e2 % 58.66/24.05 | % 58.66/24.05 | From (736) and (28) follows: % 58.66/24.05 | (740) op(e1, e1) = e1 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.66/24.05 | (397) e4 = e0 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 58.66/24.05 | (425) e4 = e3 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.66/24.05 | (662) e3 = e2 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.66/24.05 | (617) e2 = e1 % 58.66/24.05 | % 58.66/24.05 | Combining equations (397,425) yields a new equation: % 58.66/24.05 | (676) e3 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (676,662) yields a new equation: % 58.66/24.05 | (330) e2 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (617,330) yields a new equation: % 58.66/24.05 | (546) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Simplifying 546 yields: % 58.66/24.05 | (431) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (431) can reduce 233 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (748) ~ (unit = e1) % 58.66/24.05 | (749) unit = e3 % 58.66/24.05 | % 58.66/24.05 | From (749) and (209) follows: % 58.66/24.05 | (1667) op(e3, e0) = e0 % 58.66/24.05 | % 58.66/24.05 | From (749) and (40) follows: % 58.66/24.05 | (3715) op(e3, e3) = e3 % 58.66/24.05 | % 58.66/24.05 | From (749) and (32) follows: % 58.66/24.05 | (5793) op(e2, e3) = e2 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 58.66/24.05 | (455) e3 = e1 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.66/24.05 | (676) e3 = e0 % 58.66/24.05 | % 58.66/24.05 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.66/24.05 | (662) e3 = e2 % 58.66/24.05 | % 58.66/24.05 | Combining equations (455,662) yields a new equation: % 58.66/24.05 | (617) e2 = e1 % 58.66/24.05 | % 58.66/24.05 | Combining equations (676,662) yields a new equation: % 58.66/24.05 | (330) e2 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (617,330) yields a new equation: % 58.66/24.05 | (546) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Simplifying 546 yields: % 58.66/24.05 | (431) e1 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (431) can reduce 233 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (358) ~ (all_0_42_42 = e0) % 58.66/24.05 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (152), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (1392) all_0_42_42 = e4 % 58.66/24.05 | % 58.66/24.05 | Equations (1392) can reduce 1890 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (1890) ~ (all_0_42_42 = e4) % 58.66/24.05 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (6548), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (1101) all_0_51_51 = e4 % 58.66/24.05 | % 58.66/24.05 | Combining equations (660,1101) yields a new equation: % 58.66/24.05 | (425) e4 = e3 % 58.66/24.05 | % 58.66/24.05 | Equations (425) can reduce 188 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (475) ~ (all_0_51_51 = e4) % 58.66/24.05 | (842) all_0_56_56 = e4 % 58.66/24.05 | % 58.66/24.05 | Equations (842) can reduce 828 to: % 58.66/24.05 | (49) ~ (e4 = e0) % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (1969), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (559) all_0_42_42 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (559) can reduce 358 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (358) ~ (all_0_42_42 = e0) % 58.66/24.05 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (6761), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (559) all_0_42_42 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (559) can reduce 358 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (358) ~ (all_0_42_42 = e0) % 58.66/24.05 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (6766), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (356) all_0_43_43 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (356,396) yields a new equation: % 58.66/24.05 | (397) e4 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (397) can reduce 49 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (5470) ~ (all_0_43_43 = e0) % 58.66/24.05 | (1414) all_0_44_44 = e0 % 58.66/24.05 | % 58.66/24.05 | Combining equations (532,1414) yields a new equation: % 58.66/24.05 | (675) e3 = e0 % 58.66/24.05 | % 58.66/24.05 | Simplifying 675 yields: % 58.66/24.05 | (676) e3 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (676) can reduce 80 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (407) ~ (all_0_44_44 = e3) % 58.66/24.05 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (1899), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (516) all_0_42_42 = e3 % 58.66/24.05 | % 58.66/24.05 | Equations (516) can reduce 405 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (405) ~ (all_0_42_42 = e3) % 58.66/24.05 | (532) all_0_44_44 = e3 % 58.66/24.05 | % 58.66/24.05 | Equations (532) can reduce 407 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (566) ~ (all_0_50_50 = e4) % 58.66/24.05 | (587) all_0_55_55 = e4 % 58.66/24.05 | % 58.66/24.05 | Combining equations (386,587) yields a new equation: % 58.66/24.05 | (323) e4 = e2 % 58.66/24.05 | % 58.66/24.05 | Equations (323) can reduce 48 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (664) ~ (all_0_51_51 = e3) % 58.66/24.05 | (665) all_0_53_53 = e3 % 58.66/24.05 | % 58.66/24.05 | Combining equations (1208,665) yields a new equation: % 58.66/24.05 | (455) e3 = e1 % 58.66/24.05 | % 58.66/24.05 | Equations (455) can reduce 213 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (1459) ~ (all_0_53_53 = e1) % 58.66/24.05 | (918) all_0_58_58 = e1 % 58.66/24.05 | % 58.66/24.05 | Equations (918) can reduce 880 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (457) ~ (all_0_41_41 = e1) % 58.66/24.05 | (403) all_0_41_41 = e3 % 58.66/24.05 | % 58.66/24.05 | Equations (403) can reduce 1898 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (399) ~ (all_0_43_43 = e4) % 58.66/24.05 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (6374), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (356) all_0_43_43 = e0 % 58.66/24.05 | % 58.66/24.05 | Equations (356) can reduce 5470 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (5470) ~ (all_0_43_43 = e0) % 58.66/24.05 | (430) all_0_43_43 = e1 % 58.66/24.05 | % 58.66/24.05 | Equations (430) can reduce 240 to: % 58.66/24.05 | (1380) ~ (all_0_42_42 = e1) % 58.66/24.05 | % 58.66/24.05 | Equations (430) can reduce 199 to: % 58.66/24.05 | (2437) ~ (all_0_57_57 = e1) % 58.66/24.05 | % 58.66/24.05 | Simplifying 2437 yields: % 58.66/24.05 | (1670) ~ (all_0_57_57 = e1) % 58.66/24.05 | % 58.66/24.05 | Equations (430) can reduce 96 to: % 58.66/24.05 | (604) ~ (e2 = e1) % 58.66/24.05 | % 58.66/24.05 | Simplifying 604 yields: % 58.66/24.05 | (122) ~ (e2 = e1) % 58.66/24.05 | % 58.66/24.05 | Equations (430) can reduce 5470 to: % 58.66/24.05 | (233) ~ (e1 = e0) % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (216), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (629) all_0_55_55 = e1 % 58.66/24.05 | % 58.66/24.05 | Combining equations (386,629) yields a new equation: % 58.66/24.05 | (616) e2 = e1 % 58.66/24.05 | % 58.66/24.05 | Simplifying 616 yields: % 58.66/24.05 | (617) e2 = e1 % 58.66/24.05 | % 58.66/24.05 | Equations (617) can reduce 122 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (632) ~ (all_0_55_55 = e1) % 58.66/24.05 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.66/24.05 | % 58.66/24.05 +-Applying beta-rule and splitting (633), into two cases. % 58.66/24.05 |-Branch one: % 58.66/24.05 | (1569) all_0_56_56 = e1 % 58.66/24.05 | % 58.66/24.05 | Equations (1569) can reduce 466 to: % 58.66/24.05 | (266) $false % 58.66/24.05 | % 58.66/24.05 |-The branch is then unsatisfiable % 58.66/24.05 |-Branch two: % 58.66/24.05 | (466) ~ (all_0_56_56 = e1) % 58.66/24.05 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.66/24.05 | % 58.69/24.05 +-Applying beta-rule and splitting (1574), into two cases. % 58.69/24.05 |-Branch one: % 58.69/24.05 | (647) all_0_57_57 = e1 % 58.69/24.05 | % 58.69/24.05 | Equations (647) can reduce 1670 to: % 58.69/24.05 | (266) $false % 58.69/24.05 | % 58.69/24.05 |-The branch is then unsatisfiable % 58.69/24.05 |-Branch two: % 58.69/24.05 | (1670) ~ (all_0_57_57 = e1) % 58.69/24.05 | (918) all_0_58_58 = e1 % 58.69/24.05 | % 58.69/24.05 | Equations (918) can reduce 10 to: % 58.69/24.05 | (1459) ~ (all_0_53_53 = e1) % 58.69/24.05 | % 58.69/24.05 | Equations (918) can reduce 44 to: % 58.69/24.05 | (466) ~ (all_0_56_56 = e1) % 58.69/24.05 | % 58.69/24.05 | Equations (918) can reduce 148 to: % 58.69/24.05 | (1670) ~ (all_0_57_57 = e1) % 58.69/24.05 | % 58.69/24.05 | Equations (918) can reduce 451 to: % 58.69/24.05 | (602) ~ (e4 = e1) % 58.69/24.05 | % 58.69/24.05 | Simplifying 602 yields: % 58.69/24.05 | (110) ~ (e4 = e1) % 58.69/24.05 | % 58.69/24.05 | Equations (918) can reduce 908 to: % 58.69/24.05 | (604) ~ (e2 = e1) % 58.69/24.05 | % 58.69/24.05 | Simplifying 604 yields: % 58.69/24.05 | (122) ~ (e2 = e1) % 58.69/24.05 | % 58.69/24.05 +-Applying beta-rule and splitting (75), into two cases. % 58.69/24.05 |-Branch one: % 58.69/24.05 | (485) all_0_40_40 = e0 % 58.69/24.05 | % 58.69/24.05 | Combining equations (485,1378) yields a new equation: % 58.69/24.05 | (397) e4 = e0 % 58.69/24.05 | % 58.69/24.06 | Equations (397) can reduce 49 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (1401) ~ (all_0_40_40 = e0) % 58.69/24.06 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (27), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (437) all_0_41_41 = e4 % 58.69/24.06 | % 58.69/24.06 | Equations (437) can reduce 214 to: % 58.69/24.06 | (1901) ~ (all_0_42_42 = e4) % 58.69/24.06 | % 58.69/24.06 | Simplifying 1901 yields: % 58.69/24.06 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.06 | % 58.69/24.06 | Equations (437) can reduce 221 to: % 58.69/24.06 | (1907) ~ (all_0_50_50 = e4) % 58.69/24.06 | % 58.69/24.06 | Simplifying 1907 yields: % 58.69/24.06 | (566) ~ (all_0_50_50 = e4) % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (1748), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (1414) all_0_44_44 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (1414) can reduce 73 to: % 58.69/24.06 | (358) ~ (all_0_42_42 = e0) % 58.69/24.06 | % 58.69/24.06 | Equations (1414) can reduce 147 to: % 58.69/24.06 | (365) ~ (e2 = e0) % 58.69/24.06 | % 58.69/24.06 | Simplifying 365 yields: % 58.69/24.06 | (128) ~ (e2 = e0) % 58.69/24.06 | % 58.69/24.06 | From (1414) and (138) follows: % 58.69/24.06 | (1667) op(e3, e0) = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (160), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (601) all_0_50_50 = e1 % 58.69/24.06 | % 58.69/24.06 | Equations (601) can reduce 566 to: % 58.69/24.06 | (602) ~ (e4 = e1) % 58.69/24.06 | % 58.69/24.06 | Simplifying 602 yields: % 58.69/24.06 | (110) ~ (e4 = e1) % 58.69/24.06 | % 58.69/24.06 | Equations (601) can reduce 121 to: % 58.69/24.06 | (233) ~ (e1 = e0) % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (231), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (775) all_0_50_50 = e4 % 58.69/24.06 | % 58.69/24.06 | Combining equations (601,775) yields a new equation: % 58.69/24.06 | (630) e4 = e1 % 58.69/24.06 | % 58.69/24.06 | Equations (630) can reduce 110 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (566) ~ (all_0_50_50 = e4) % 58.69/24.06 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (104), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (480) all_0_39_39 = e0 % 58.69/24.06 | % 58.69/24.06 | Combining equations (480,317) yields a new equation: % 58.69/24.06 | (330) e2 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (330) can reduce 128 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (484) ~ (all_0_39_39 = e0) % 58.69/24.06 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (558), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (559) all_0_42_42 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (559) can reduce 358 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (358) ~ (all_0_42_42 = e0) % 58.69/24.06 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (563), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (674) all_0_47_47 = e0 % 58.69/24.06 | % 58.69/24.06 | Combining equations (654,674) yields a new equation: % 58.69/24.06 | (546) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Simplifying 546 yields: % 58.69/24.06 | (431) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (431) can reduce 233 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (678) ~ (all_0_47_47 = e0) % 58.69/24.06 | (679) all_0_56_56 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (679) can reduce 236 to: % 58.69/24.06 | (358) ~ (all_0_42_42 = e0) % 58.69/24.06 | % 58.69/24.06 | Equations (679) can reduce 140 to: % 58.69/24.06 | (363) ~ (all_0_57_57 = e0) % 58.69/24.06 | % 58.69/24.06 | Simplifying 363 yields: % 58.69/24.06 | (364) ~ (all_0_57_57 = e0) % 58.69/24.06 | % 58.69/24.06 | Equations (679) can reduce 511 to: % 58.69/24.06 | (365) ~ (e2 = e0) % 58.69/24.06 | % 58.69/24.06 | Simplifying 365 yields: % 58.69/24.06 | (128) ~ (e2 = e0) % 58.69/24.06 | % 58.69/24.06 | Equations (679) can reduce 466 to: % 58.69/24.06 | (435) ~ (e1 = e0) % 58.69/24.06 | % 58.69/24.06 | Simplifying 435 yields: % 58.69/24.06 | (233) ~ (e1 = e0) % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (12), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (442) all_0_57_57 = e2 % 58.69/24.06 | % 58.69/24.06 | Equations (442) can reduce 344 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (344) ~ (all_0_57_57 = e2) % 58.69/24.06 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (152), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (1392) all_0_42_42 = e4 % 58.69/24.06 | % 58.69/24.06 | Equations (1392) can reduce 1890 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.06 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (445), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (871) all_0_57_57 = e4 % 58.69/24.06 | % 58.69/24.06 | Equations (871) can reduce 344 to: % 58.69/24.06 | (48) ~ (e4 = e2) % 58.69/24.06 | % 58.69/24.06 | From (871) and (83) follows: % 58.69/24.06 | (3109) op(e0, e1) = e4 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (1969), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (559) all_0_42_42 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (559) can reduce 358 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (358) ~ (all_0_42_42 = e0) % 58.69/24.06 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (2510), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (459) all_0_42_42 = e1 % 58.69/24.06 | % 58.69/24.06 | Equations (459) can reduce 1380 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (1380) ~ (all_0_42_42 = e1) % 58.69/24.06 | (516) all_0_42_42 = e3 % 58.69/24.06 | % 58.69/24.06 | Equations (516) can reduce 61 to: % 58.69/24.06 | (1925) ~ (all_0_51_51 = e3) % 58.69/24.06 | % 58.69/24.06 | Simplifying 1925 yields: % 58.69/24.06 | (664) ~ (all_0_51_51 = e3) % 58.69/24.06 | % 58.69/24.06 | Equations (516) can reduce 1380 to: % 58.69/24.06 | (213) ~ (e3 = e1) % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (168), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (415) all_0_50_50 = e3 % 58.69/24.06 | % 58.69/24.06 | Combining equations (601,415) yields a new equation: % 58.69/24.06 | (455) e3 = e1 % 58.69/24.06 | % 58.69/24.06 | Equations (455) can reduce 213 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (411) ~ (all_0_50_50 = e3) % 58.69/24.06 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (1071), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (1101) all_0_51_51 = e4 % 58.69/24.06 | % 58.69/24.06 | From (1101) and (186) follows: % 58.69/24.06 | (13720) op(e1, e2) = e4 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (56), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (696) unit = e2 % 58.69/24.06 | % 58.69/24.06 | From (696) and (209) follows: % 58.69/24.06 | (7585) op(e2, e0) = e0 % 58.69/24.06 | % 58.69/24.06 | From (696) and (227) follows: % 58.69/24.06 | (4284) op(e4, e2) = e4 % 58.69/24.06 | % 58.69/24.06 | From (696) and (28) follows: % 58.69/24.06 | (699) op(e1, e2) = e1 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.69/24.06 | (323) e4 = e2 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.69/24.06 | (330) e2 = e0 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.69/24.06 | (630) e4 = e1 % 58.69/24.06 | % 58.69/24.06 | Combining equations (323,630) yields a new equation: % 58.69/24.06 | (616) e2 = e1 % 58.69/24.06 | % 58.69/24.06 | Simplifying 616 yields: % 58.69/24.06 | (617) e2 = e1 % 58.69/24.06 | % 58.69/24.06 | Combining equations (330,617) yields a new equation: % 58.69/24.06 | (431) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (431) can reduce 233 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (707) ~ (unit = e2) % 58.69/24.06 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (708), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (709) unit = e4 % 58.69/24.06 | % 58.69/24.06 | From (709) and (211) follows: % 58.69/24.06 | (22527) op(e4, e1) = e1 % 58.69/24.06 | % 58.69/24.06 | From (709) and (42) follows: % 58.69/24.06 | (713) op(e0, e4) = e0 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.69/24.06 | (455) e3 = e1 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.69/24.06 | (676) e3 = e0 % 58.69/24.06 | % 58.69/24.06 | Combining equations (455,676) yields a new equation: % 58.69/24.06 | (546) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Simplifying 546 yields: % 58.69/24.06 | (431) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (431) can reduce 233 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (724) ~ (unit = e4) % 58.69/24.06 | (725) unit = e3 | unit = e1 | unit = e0 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (725), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (726) unit = e0 % 58.69/24.06 | % 58.69/24.06 | From (726) and (244) follows: % 58.69/24.06 | (2207) op(e0, e4) = e4 % 58.69/24.06 | % 58.69/24.06 | From (726) and (24) follows: % 58.69/24.06 | (2208) op(e0, e3) = e3 % 58.69/24.06 | % 58.69/24.06 | From (726) and (211) follows: % 58.69/24.06 | (15180) op(e0, e1) = e1 % 58.69/24.06 | % 58.69/24.06 | From (726) and (40) follows: % 58.69/24.06 | (1639) op(e3, e0) = e3 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.69/24.06 | (676) e3 = e0 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.69/24.06 | (425) e4 = e3 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 58.69/24.06 | (662) e3 = e2 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 58.69/24.06 | (630) e4 = e1 % 58.69/24.06 | % 58.69/24.06 | Combining equations (630,425) yields a new equation: % 58.69/24.06 | (455) e3 = e1 % 58.69/24.06 | % 58.69/24.06 | Combining equations (455,662) yields a new equation: % 58.69/24.06 | (617) e2 = e1 % 58.69/24.06 | % 58.69/24.06 | Combining equations (676,662) yields a new equation: % 58.69/24.06 | (330) e2 = e0 % 58.69/24.06 | % 58.69/24.06 | Combining equations (617,330) yields a new equation: % 58.69/24.06 | (546) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Simplifying 546 yields: % 58.69/24.06 | (431) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (431) can reduce 233 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (734) ~ (unit = e0) % 58.69/24.06 | (735) unit = e3 | unit = e1 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (735), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (736) unit = e1 % 58.69/24.06 | % 58.69/24.06 | Equations (736) can reduce 734 to: % 58.69/24.06 | (233) ~ (e1 = e0) % 58.69/24.06 | % 58.69/24.06 | From (736) and (15) follows: % 58.69/24.06 | (515) op(e1, e2) = e2 % 58.69/24.06 | % 58.69/24.06 | From (736) and (28) follows: % 58.69/24.06 | (740) op(e1, e1) = e1 % 58.69/24.06 | % 58.69/24.06 | From (736) and (42) follows: % 58.69/24.06 | (3221) op(e0, e1) = e0 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.69/24.06 | (323) e4 = e2 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.69/24.06 | (617) e2 = e1 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 58.69/24.06 | (397) e4 = e0 % 58.69/24.06 | % 58.69/24.06 | Combining equations (323,397) yields a new equation: % 58.69/24.06 | (391) e2 = e0 % 58.69/24.06 | % 58.69/24.06 | Simplifying 391 yields: % 58.69/24.06 | (330) e2 = e0 % 58.69/24.06 | % 58.69/24.06 | Combining equations (617,330) yields a new equation: % 58.69/24.06 | (546) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Simplifying 546 yields: % 58.69/24.06 | (431) e1 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (431) can reduce 233 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (748) ~ (unit = e1) % 58.69/24.06 | (749) unit = e3 % 58.69/24.06 | % 58.69/24.06 | From (749) and (244) follows: % 58.69/24.06 | (750) op(e3, e4) = e4 % 58.69/24.06 | % 58.69/24.06 | From (749) and (227) follows: % 58.69/24.06 | (22570) op(e4, e3) = e4 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.69/24.06 | (397) e4 = e0 % 58.69/24.06 | % 58.69/24.06 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.69/24.06 | (323) e4 = e2 % 58.69/24.06 | % 58.69/24.06 | Combining equations (397,323) yields a new equation: % 58.69/24.06 | (330) e2 = e0 % 58.69/24.06 | % 58.69/24.06 | Equations (330) can reduce 128 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (475) ~ (all_0_51_51 = e4) % 58.69/24.06 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (164), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (471) all_0_39_39 = e4 % 58.69/24.06 | % 58.69/24.06 | Combining equations (471,317) yields a new equation: % 58.69/24.06 | (322) e4 = e2 % 58.69/24.06 | % 58.69/24.06 | Simplifying 322 yields: % 58.69/24.06 | (323) e4 = e2 % 58.69/24.06 | % 58.69/24.06 | Equations (323) can reduce 48 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (1377) ~ (all_0_39_39 = e4) % 58.69/24.06 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.06 | % 58.69/24.06 | Equations (317) can reduce 1377 to: % 58.69/24.06 | (327) ~ (e4 = e2) % 58.69/24.06 | % 58.69/24.06 | Simplifying 327 yields: % 58.69/24.06 | (48) ~ (e4 = e2) % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (418), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (660) all_0_51_51 = e3 % 58.69/24.06 | % 58.69/24.06 | Equations (660) can reduce 664 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (664) ~ (all_0_51_51 = e3) % 58.69/24.06 | (665) all_0_53_53 = e3 % 58.69/24.06 | % 58.69/24.06 | Equations (665) can reduce 1453 to: % 58.69/24.06 | (277) ~ (e4 = e3) % 58.69/24.06 | % 58.69/24.06 | Simplifying 277 yields: % 58.69/24.06 | (188) ~ (e4 = e3) % 58.69/24.06 | % 58.69/24.06 +-Applying beta-rule and splitting (2115), into two cases. % 58.69/24.06 |-Branch one: % 58.69/24.06 | (1392) all_0_42_42 = e4 % 58.69/24.06 | % 58.69/24.06 | Combining equations (1392,516) yields a new equation: % 58.69/24.06 | (424) e4 = e3 % 58.69/24.06 | % 58.69/24.06 | Simplifying 424 yields: % 58.69/24.06 | (425) e4 = e3 % 58.69/24.06 | % 58.69/24.06 | Equations (425) can reduce 188 to: % 58.69/24.06 | (266) $false % 58.69/24.06 | % 58.69/24.06 |-The branch is then unsatisfiable % 58.69/24.06 |-Branch two: % 58.69/24.06 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.07 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (516) can reduce 1890 to: % 58.69/24.07 | (277) ~ (e4 = e3) % 58.69/24.07 | % 58.69/24.07 | Simplifying 277 yields: % 58.69/24.07 | (188) ~ (e4 = e3) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1294), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (565) all_0_52_52 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (352,565) yields a new equation: % 58.69/24.07 | (323) e4 = e2 % 58.69/24.07 | % 58.69/24.07 | Equations (323) can reduce 48 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (780) ~ (all_0_52_52 = e4) % 58.69/24.07 | (1298) all_0_53_53 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (665,1298) yields a new equation: % 58.69/24.07 | (425) e4 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (425) can reduce 188 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (839) ~ (all_0_57_57 = e4) % 58.69/24.07 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (874), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (875) all_0_57_57 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (875) can reduce 364 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (364) ~ (all_0_57_57 = e0) % 58.69/24.07 | (647) all_0_57_57 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (647) can reduce 1670 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (759) ~ (all_0_50_50 = e1) % 58.69/24.07 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1168), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (1109) all_0_51_51 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (1109) can reduce 464 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (464) ~ (all_0_51_51 = e1) % 58.69/24.07 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1202), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (642) all_0_52_52 = e1 % 58.69/24.07 | % 58.69/24.07 | Combining equations (352,642) yields a new equation: % 58.69/24.07 | (616) e2 = e1 % 58.69/24.07 | % 58.69/24.07 | Simplifying 616 yields: % 58.69/24.07 | (617) e2 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (617) can reduce 122 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (646) ~ (all_0_52_52 = e1) % 58.69/24.07 | (1208) all_0_53_53 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (1208) can reduce 1459 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (360) ~ (all_0_44_44 = e0) % 58.69/24.07 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (125), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (858) all_0_55_55 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (386,858) yields a new equation: % 58.69/24.07 | (391) e2 = e0 % 58.69/24.07 | % 58.69/24.07 | Simplifying 391 yields: % 58.69/24.07 | (330) e2 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (330) can reduce 128 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (803) ~ (all_0_55_55 = e0) % 58.69/24.07 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (863), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (679) all_0_56_56 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (679) can reduce 511 to: % 58.69/24.07 | (365) ~ (e2 = e0) % 58.69/24.07 | % 58.69/24.07 | Simplifying 365 yields: % 58.69/24.07 | (128) ~ (e2 = e0) % 58.69/24.07 | % 58.69/24.07 | Equations (679) can reduce 466 to: % 58.69/24.07 | (435) ~ (e1 = e0) % 58.69/24.07 | % 58.69/24.07 | Simplifying 435 yields: % 58.69/24.07 | (233) ~ (e1 = e0) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1760), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (978) all_0_49_49 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (978,583) yields a new equation: % 58.69/24.07 | (330) e2 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (330) can reduce 128 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (487) ~ (all_0_49_49 = e0) % 58.69/24.07 | (914) all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (918,914) yields a new equation: % 58.69/24.07 | (546) e1 = e0 % 58.69/24.07 | % 58.69/24.07 | Simplifying 546 yields: % 58.69/24.07 | (431) e1 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (431) can reduce 233 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (828) ~ (all_0_56_56 = e0) % 58.69/24.07 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (924), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (875) all_0_57_57 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (875) can reduce 364 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (364) ~ (all_0_57_57 = e0) % 58.69/24.07 | (914) all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (914,918) yields a new equation: % 58.69/24.07 | (431) e1 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (431) can reduce 233 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (440) ~ (all_0_41_41 = e4) % 58.69/24.07 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (160), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (601) all_0_50_50 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (601) can reduce 59 to: % 58.69/24.07 | (463) ~ (all_0_51_51 = e1) % 58.69/24.07 | % 58.69/24.07 | Simplifying 463 yields: % 58.69/24.07 | (464) ~ (all_0_51_51 = e1) % 58.69/24.07 | % 58.69/24.07 | Equations (601) can reduce 411 to: % 58.69/24.07 | (467) ~ (e3 = e1) % 58.69/24.07 | % 58.69/24.07 | Simplifying 467 yields: % 58.69/24.07 | (213) ~ (e3 = e1) % 58.69/24.07 | % 58.69/24.07 | Equations (601) can reduce 121 to: % 58.69/24.07 | (233) ~ (e1 = e0) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (231), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (775) all_0_50_50 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (601,775) yields a new equation: % 58.69/24.07 | (630) e4 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (630) can reduce 110 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (566) ~ (all_0_50_50 = e4) % 58.69/24.07 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1071), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (1101) all_0_51_51 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (1101) can reduce 61 to: % 58.69/24.07 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.07 | % 58.69/24.07 | Equations (1101) can reduce 16 to: % 58.69/24.07 | (476) ~ (all_0_56_56 = e4) % 58.69/24.07 | % 58.69/24.07 | Simplifying 476 yields: % 58.69/24.07 | (477) ~ (all_0_56_56 = e4) % 58.69/24.07 | % 58.69/24.07 | Equations (1101) can reduce 1099 to: % 58.69/24.07 | (48) ~ (e4 = e2) % 58.69/24.07 | % 58.69/24.07 | Equations (1101) can reduce 464 to: % 58.69/24.07 | (110) ~ (e4 = e1) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (168), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (415) all_0_50_50 = e3 % 58.69/24.07 | % 58.69/24.07 | Combining equations (415,601) yields a new equation: % 58.69/24.07 | (454) e3 = e1 % 58.69/24.07 | % 58.69/24.07 | Simplifying 454 yields: % 58.69/24.07 | (455) e3 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (455) can reduce 213 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (411) ~ (all_0_50_50 = e3) % 58.69/24.07 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (125), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (858) all_0_55_55 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (386,858) yields a new equation: % 58.69/24.07 | (391) e2 = e0 % 58.69/24.07 | % 58.69/24.07 | Simplifying 391 yields: % 58.69/24.07 | (330) e2 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (330) can reduce 128 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (803) ~ (all_0_55_55 = e0) % 58.69/24.07 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (180), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (516) all_0_42_42 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (516) can reduce 236 to: % 58.69/24.07 | (271) ~ (all_0_56_56 = e3) % 58.69/24.07 | % 58.69/24.07 | Simplifying 271 yields: % 58.69/24.07 | (272) ~ (all_0_56_56 = e3) % 58.69/24.07 | % 58.69/24.07 | Equations (516) can reduce 1890 to: % 58.69/24.07 | (277) ~ (e4 = e3) % 58.69/24.07 | % 58.69/24.07 | Simplifying 277 yields: % 58.69/24.07 | (188) ~ (e4 = e3) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (64), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (437) all_0_41_41 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (437) can reduce 440 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (440) ~ (all_0_41_41 = e4) % 58.69/24.07 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (12), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (442) all_0_57_57 = e2 % 58.69/24.07 | % 58.69/24.07 | Equations (442) can reduce 344 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (344) ~ (all_0_57_57 = e2) % 58.69/24.07 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (26), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (446) all_0_44_44 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (446) can reduce 1390 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (1390) ~ (all_0_44_44 = e4) % 58.69/24.07 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (165), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (794) all_0_41_41 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (794) can reduce 357 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (357) ~ (all_0_41_41 = e0) % 58.69/24.07 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (171), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (265) all_0_54_54 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (265,268) yields a new equation: % 58.69/24.07 | (424) e4 = e3 % 58.69/24.07 | % 58.69/24.07 | Simplifying 424 yields: % 58.69/24.07 | (425) e4 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (425) can reduce 188 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (258) ~ (all_0_54_54 = e4) % 58.69/24.07 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (133), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (833) all_0_56_56 = e2 % 58.69/24.07 | % 58.69/24.07 | Equations (833) can reduce 511 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (511) ~ (all_0_56_56 = e2) % 58.69/24.07 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (445), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (871) all_0_57_57 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (871) can reduce 67 to: % 58.69/24.07 | (188) ~ (e4 = e3) % 58.69/24.07 | % 58.69/24.07 | Equations (871) can reduce 1670 to: % 58.69/24.07 | (110) ~ (e4 = e1) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1748), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (1414) all_0_44_44 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (1414) can reduce 1390 to: % 58.69/24.07 | (401) ~ (e4 = e0) % 58.69/24.07 | % 58.69/24.07 | Simplifying 401 yields: % 58.69/24.07 | (49) ~ (e4 = e0) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (441), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (1392) all_0_42_42 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (1392,516) yields a new equation: % 58.69/24.07 | (424) e4 = e3 % 58.69/24.07 | % 58.69/24.07 | Simplifying 424 yields: % 58.69/24.07 | (425) e4 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (425) can reduce 188 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.07 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (1891), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (396) all_0_43_43 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (430,396) yields a new equation: % 58.69/24.07 | (630) e4 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (630) can reduce 110 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (399) ~ (all_0_43_43 = e4) % 58.69/24.07 | (446) all_0_44_44 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (1414,446) yields a new equation: % 58.69/24.07 | (397) e4 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (397) can reduce 49 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (360) ~ (all_0_44_44 = e0) % 58.69/24.07 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (418), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (660) all_0_51_51 = e3 % 58.69/24.07 | % 58.69/24.07 | Combining equations (660,1101) yields a new equation: % 58.69/24.07 | (425) e4 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (425) can reduce 188 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (664) ~ (all_0_51_51 = e3) % 58.69/24.07 | (665) all_0_53_53 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (665) can reduce 247 to: % 58.69/24.07 | (80) ~ (e3 = e0) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (6761), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (559) all_0_42_42 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (559,516) yields a new equation: % 58.69/24.07 | (676) e3 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (676) can reduce 80 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (358) ~ (all_0_42_42 = e0) % 58.69/24.07 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (6766), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (356) all_0_43_43 = e0 % 58.69/24.07 | % 58.69/24.07 | Combining equations (430,356) yields a new equation: % 58.69/24.07 | (546) e1 = e0 % 58.69/24.07 | % 58.69/24.07 | Simplifying 546 yields: % 58.69/24.07 | (431) e1 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (431) can reduce 233 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (5470) ~ (all_0_43_43 = e0) % 58.69/24.07 | (1414) all_0_44_44 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (1414) can reduce 360 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (839) ~ (all_0_57_57 = e4) % 58.69/24.07 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (863), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (679) all_0_56_56 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (679) can reduce 477 to: % 58.69/24.07 | (401) ~ (e4 = e0) % 58.69/24.07 | % 58.69/24.07 | Simplifying 401 yields: % 58.69/24.07 | (49) ~ (e4 = e0) % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (575), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (587) all_0_55_55 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (386,587) yields a new equation: % 58.69/24.07 | (323) e4 = e2 % 58.69/24.07 | % 58.69/24.07 | Equations (323) can reduce 48 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (763) ~ (all_0_55_55 = e4) % 58.69/24.07 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (764), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (842) all_0_56_56 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (842,679) yields a new equation: % 58.69/24.07 | (481) e4 = e0 % 58.69/24.07 | % 58.69/24.07 | Simplifying 481 yields: % 58.69/24.07 | (397) e4 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (397) can reduce 49 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (477) ~ (all_0_56_56 = e4) % 58.69/24.07 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (935), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (871) all_0_57_57 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (871) can reduce 839 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (839) ~ (all_0_57_57 = e4) % 58.69/24.07 | (910) all_0_58_58 = e4 % 58.69/24.07 | % 58.69/24.07 | Combining equations (910,918) yields a new equation: % 58.69/24.07 | (636) e4 = e1 % 58.69/24.07 | % 58.69/24.07 | Simplifying 636 yields: % 58.69/24.07 | (630) e4 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (630) can reduce 110 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (828) ~ (all_0_56_56 = e0) % 58.69/24.07 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (836), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (842) all_0_56_56 = e4 % 58.69/24.07 | % 58.69/24.07 | Equations (842) can reduce 477 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (477) ~ (all_0_56_56 = e4) % 58.69/24.07 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (845), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (679) all_0_56_56 = e0 % 58.69/24.07 | % 58.69/24.07 | Equations (679) can reduce 828 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (828) ~ (all_0_56_56 = e0) % 58.69/24.07 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 58.69/24.07 | % 58.69/24.07 +-Applying beta-rule and splitting (3172), into two cases. % 58.69/24.07 |-Branch one: % 58.69/24.07 | (1569) all_0_56_56 = e1 % 58.69/24.07 | % 58.69/24.07 | Equations (1569) can reduce 466 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.07 |-Branch two: % 58.69/24.07 | (466) ~ (all_0_56_56 = e1) % 58.69/24.07 | (1097) all_0_56_56 = e3 % 58.69/24.07 | % 58.69/24.07 | Equations (1097) can reduce 272 to: % 58.69/24.07 | (266) $false % 58.69/24.07 | % 58.69/24.07 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (405) ~ (all_0_42_42 = e3) % 58.69/24.08 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (171), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (265) all_0_54_54 = e4 % 58.69/24.08 | % 58.69/24.08 | Combining equations (268,265) yields a new equation: % 58.69/24.08 | (425) e4 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (425) can reduce 188 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (258) ~ (all_0_54_54 = e4) % 58.69/24.08 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.69/24.08 | % 58.69/24.08 | Equations (268) can reduce 258 to: % 58.69/24.08 | (277) ~ (e4 = e3) % 58.69/24.08 | % 58.69/24.08 | Simplifying 277 yields: % 58.69/24.08 | (188) ~ (e4 = e3) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (418), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (660) all_0_51_51 = e3 % 58.69/24.08 | % 58.69/24.08 | Combining equations (1101,660) yields a new equation: % 58.69/24.08 | (424) e4 = e3 % 58.69/24.08 | % 58.69/24.08 | Simplifying 424 yields: % 58.69/24.08 | (425) e4 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (425) can reduce 188 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (664) ~ (all_0_51_51 = e3) % 58.69/24.08 | (665) all_0_53_53 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (665) can reduce 220 to: % 58.69/24.08 | (407) ~ (all_0_44_44 = e3) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1899), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (516) all_0_42_42 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (516) can reduce 405 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (405) ~ (all_0_42_42 = e3) % 58.69/24.08 | (532) all_0_44_44 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (532) can reduce 407 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (475) ~ (all_0_51_51 = e4) % 58.69/24.08 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1294), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (565) all_0_52_52 = e4 % 58.69/24.08 | % 58.69/24.08 | Combining equations (352,565) yields a new equation: % 58.69/24.08 | (323) e4 = e2 % 58.69/24.08 | % 58.69/24.08 | Equations (323) can reduce 48 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (780) ~ (all_0_52_52 = e4) % 58.69/24.08 | (1298) all_0_53_53 = e4 % 58.69/24.08 | % 58.69/24.08 | Equations (1298) can reduce 1453 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (759) ~ (all_0_50_50 = e1) % 58.69/24.08 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1168), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (1109) all_0_51_51 = e1 % 58.69/24.08 | % 58.69/24.08 | Equations (1109) can reduce 464 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (464) ~ (all_0_51_51 = e1) % 58.69/24.08 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1748), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (1414) all_0_44_44 = e0 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (189), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (532) all_0_44_44 = e3 % 58.69/24.08 | % 58.69/24.08 | Combining equations (532,1414) yields a new equation: % 58.69/24.08 | (675) e3 = e0 % 58.69/24.08 | % 58.69/24.08 | Simplifying 675 yields: % 58.69/24.08 | (676) e3 = e0 % 58.69/24.08 | % 58.69/24.08 | Equations (676) can reduce 80 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (407) ~ (all_0_44_44 = e3) % 58.69/24.08 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (1414) can reduce 407 to: % 58.69/24.08 | (541) ~ (e3 = e0) % 58.69/24.08 | % 58.69/24.08 | Simplifying 541 yields: % 58.69/24.08 | (80) ~ (e3 = e0) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1899), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (516) all_0_42_42 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (516) can reduce 61 to: % 58.69/24.08 | (1925) ~ (all_0_51_51 = e3) % 58.69/24.08 | % 58.69/24.08 | Simplifying 1925 yields: % 58.69/24.08 | (664) ~ (all_0_51_51 = e3) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (168), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (415) all_0_50_50 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (415) can reduce 411 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (411) ~ (all_0_50_50 = e3) % 58.69/24.08 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (418), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (660) all_0_51_51 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (660) can reduce 664 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (664) ~ (all_0_51_51 = e3) % 58.69/24.08 | (665) all_0_53_53 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (665) can reduce 1459 to: % 58.69/24.08 | (213) ~ (e3 = e1) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1202), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (642) all_0_52_52 = e1 % 58.69/24.08 | % 58.69/24.08 | Combining equations (642,352) yields a new equation: % 58.69/24.08 | (617) e2 = e1 % 58.69/24.08 | % 58.69/24.08 | Equations (617) can reduce 122 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (646) ~ (all_0_52_52 = e1) % 58.69/24.08 | (1208) all_0_53_53 = e1 % 58.69/24.08 | % 58.69/24.08 | Combining equations (665,1208) yields a new equation: % 58.69/24.08 | (454) e3 = e1 % 58.69/24.08 | % 58.69/24.08 | Simplifying 454 yields: % 58.69/24.08 | (455) e3 = e1 % 58.69/24.08 | % 58.69/24.08 | Equations (455) can reduce 213 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (405) ~ (all_0_42_42 = e3) % 58.69/24.08 | (532) all_0_44_44 = e3 % 58.69/24.08 | % 58.69/24.08 | Combining equations (532,1414) yields a new equation: % 58.69/24.08 | (675) e3 = e0 % 58.69/24.08 | % 58.69/24.08 | Simplifying 675 yields: % 58.69/24.08 | (676) e3 = e0 % 58.69/24.08 | % 58.69/24.08 | Equations (676) can reduce 80 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (360) ~ (all_0_44_44 = e0) % 58.69/24.08 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1760), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (978) all_0_49_49 = e0 % 58.69/24.08 | % 58.69/24.08 | Combining equations (583,978) yields a new equation: % 58.69/24.08 | (391) e2 = e0 % 58.69/24.08 | % 58.69/24.08 | Simplifying 391 yields: % 58.69/24.08 | (330) e2 = e0 % 58.69/24.08 | % 58.69/24.08 | Equations (330) can reduce 128 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (487) ~ (all_0_49_49 = e0) % 58.69/24.08 | (914) all_0_58_58 = e0 % 58.69/24.08 | % 58.69/24.08 | Combining equations (918,914) yields a new equation: % 58.69/24.08 | (546) e1 = e0 % 58.69/24.08 | % 58.69/24.08 | Simplifying 546 yields: % 58.69/24.08 | (431) e1 = e0 % 58.69/24.08 | % 58.69/24.08 | Equations (431) can reduce 233 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (409) ~ (all_0_46_46 = e3) % 58.69/24.08 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (1561), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (522) all_0_47_47 = e3 % 58.69/24.08 | % 58.69/24.08 | Combining equations (654,522) yields a new equation: % 58.69/24.08 | (455) e3 = e1 % 58.69/24.08 | % 58.69/24.08 | Equations (455) can reduce 213 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (1091) ~ (all_0_47_47 = e3) % 58.69/24.08 | (884) all_0_49_49 = e3 % 58.69/24.08 | % 58.69/24.08 | Combining equations (583,884) yields a new equation: % 58.69/24.08 | (662) e3 = e2 % 58.69/24.08 | % 58.69/24.08 | Equations (662) can reduce 212 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (1283) ~ (all_0_48_48 = e0) % 58.69/24.08 | (615) all_0_48_48 = e1 % 58.69/24.08 | % 58.69/24.08 | Equations (615) can reduce 619 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.69/24.08 | % 58.69/24.08 | Applying alpha-rule on (813) yields: % 58.69/24.08 | (654) all_0_47_47 = e1 % 58.69/24.08 | (352) all_0_52_52 = e2 % 58.69/24.08 | (464) ~ (all_0_51_51 = e1) % 58.69/24.08 | % 58.69/24.08 | Equations (654) can reduce 114 to: % 58.69/24.08 | (11581) ~ (all_0_48_48 = e1) % 58.69/24.08 | % 58.69/24.08 | Simplifying 11581 yields: % 58.69/24.08 | (619) ~ (all_0_48_48 = e1) % 58.69/24.08 | % 58.69/24.08 | Equations (654) can reduce 224 to: % 58.69/24.08 | (463) ~ (all_0_51_51 = e1) % 58.69/24.08 | % 58.69/24.08 | Simplifying 463 yields: % 58.69/24.08 | (464) ~ (all_0_51_51 = e1) % 58.69/24.08 | % 58.69/24.08 | Equations (654) can reduce 91 to: % 58.69/24.08 | (465) ~ (all_0_56_56 = e1) % 58.69/24.08 | % 58.69/24.08 | Simplifying 465 yields: % 58.69/24.08 | (466) ~ (all_0_56_56 = e1) % 58.69/24.08 | % 58.69/24.08 | Equations (654) can reduce 252 to: % 58.69/24.08 | (602) ~ (e4 = e1) % 58.69/24.08 | % 58.69/24.08 | Simplifying 602 yields: % 58.69/24.08 | (110) ~ (e4 = e1) % 58.69/24.08 | % 58.69/24.08 | Equations (654) can reduce 338 to: % 58.69/24.08 | (604) ~ (e2 = e1) % 58.69/24.08 | % 58.69/24.08 | Simplifying 604 yields: % 58.69/24.08 | (122) ~ (e2 = e1) % 58.69/24.08 | % 58.69/24.08 | From (654) and (23) follows: % 58.69/24.08 | (9478) op(e2, e2) = e1 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (228), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (335) all_0_48_48 = e2 % 58.69/24.08 | % 58.69/24.08 | Equations (335) can reduce 810 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (810) ~ (all_0_48_48 = e2) % 58.69/24.08 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (10218), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (943) all_0_48_48 = e4 % 58.69/24.08 | % 58.69/24.08 | Equations (943) can reduce 254 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (254) ~ (all_0_48_48 = e4) % 58.69/24.08 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (10222), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (1279) all_0_48_48 = e0 % 58.69/24.08 | % 58.69/24.08 | Equations (1279) can reduce 17 to: % 58.69/24.08 | (5470) ~ (all_0_43_43 = e0) % 58.69/24.08 | % 58.69/24.08 | Equations (1279) can reduce 30 to: % 58.69/24.08 | (831) ~ (all_0_46_46 = e0) % 58.69/24.08 | % 58.69/24.08 | Equations (1279) can reduce 239 to: % 58.69/24.08 | (363) ~ (all_0_57_57 = e0) % 58.69/24.08 | % 58.69/24.08 | Simplifying 363 yields: % 58.69/24.08 | (364) ~ (all_0_57_57 = e0) % 58.69/24.08 | % 58.69/24.08 | Equations (1279) can reduce 254 to: % 58.69/24.08 | (401) ~ (e4 = e0) % 58.69/24.08 | % 58.69/24.08 | Simplifying 401 yields: % 58.69/24.08 | (49) ~ (e4 = e0) % 58.69/24.08 | % 58.69/24.08 | Equations (1279) can reduce 810 to: % 58.69/24.08 | (365) ~ (e2 = e0) % 58.69/24.08 | % 58.69/24.08 | Simplifying 365 yields: % 58.69/24.08 | (128) ~ (e2 = e0) % 58.69/24.08 | % 58.69/24.08 | Equations (1279) can reduce 619 to: % 58.69/24.08 | (435) ~ (e1 = e0) % 58.69/24.08 | % 58.69/24.08 | Simplifying 435 yields: % 58.69/24.08 | (233) ~ (e1 = e0) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (78), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (423) all_0_45_45 = e3 % 58.69/24.08 | % 58.69/24.08 | Combining equations (423,248) yields a new equation: % 58.69/24.08 | (425) e4 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (425) can reduce 188 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (427) ~ (all_0_45_45 = e3) % 58.69/24.08 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (428), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (1557) all_0_46_46 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (1557) can reduce 43 to: % 58.69/24.08 | (1898) ~ (all_0_41_41 = e3) % 58.69/24.08 | % 58.69/24.08 | Equations (1557) can reduce 35 to: % 58.69/24.08 | (410) ~ (all_0_50_50 = e3) % 58.69/24.08 | % 58.69/24.08 | Simplifying 410 yields: % 58.69/24.08 | (411) ~ (all_0_50_50 = e3) % 58.69/24.08 | % 58.69/24.08 | Equations (1557) can reduce 250 to: % 58.69/24.08 | (277) ~ (e4 = e3) % 58.69/24.08 | % 58.69/24.08 | Simplifying 277 yields: % 58.69/24.08 | (188) ~ (e4 = e3) % 58.69/24.08 | % 58.69/24.08 | Equations (1557) can reduce 831 to: % 58.69/24.08 | (80) ~ (e3 = e0) % 58.69/24.08 | % 58.69/24.08 | From (1557) and (120) follows: % 58.69/24.08 | (697) op(e2, e3) = e3 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (113), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (403) all_0_41_41 = e3 % 58.69/24.08 | % 58.69/24.08 | Equations (403) can reduce 1898 to: % 58.69/24.08 | (266) $false % 58.69/24.08 | % 58.69/24.08 |-The branch is then unsatisfiable % 58.69/24.08 |-Branch two: % 58.69/24.08 | (1898) ~ (all_0_41_41 = e3) % 58.69/24.08 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (195), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (396) all_0_43_43 = e4 % 58.69/24.08 | % 58.69/24.08 | Equations (396) can reduce 31 to: % 58.69/24.08 | (440) ~ (all_0_41_41 = e4) % 58.69/24.08 | % 58.69/24.08 | Equations (396) can reduce 240 to: % 58.69/24.08 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.08 | % 58.69/24.08 | Equations (396) can reduce 159 to: % 58.69/24.08 | (1903) ~ (all_0_44_44 = e4) % 58.69/24.08 | % 58.69/24.08 | Simplifying 1903 yields: % 58.69/24.08 | (1390) ~ (all_0_44_44 = e4) % 58.69/24.08 | % 58.69/24.08 | Equations (396) can reduce 99 to: % 58.69/24.08 | (188) ~ (e4 = e3) % 58.69/24.08 | % 58.69/24.08 | Equations (396) can reduce 96 to: % 58.69/24.08 | (48) ~ (e4 = e2) % 58.69/24.08 | % 58.69/24.08 | Equations (396) can reduce 5470 to: % 58.69/24.08 | (49) ~ (e4 = e0) % 58.69/24.08 | % 58.69/24.08 +-Applying beta-rule and splitting (62), into two cases. % 58.69/24.08 |-Branch one: % 58.69/24.08 | (321) all_0_38_38 = e4 % 58.69/24.08 | % 58.69/24.08 | Combining equations (321,329) yields a new equation: % 58.69/24.08 | (481) e4 = e0 % 58.69/24.08 | % 58.69/24.08 | Simplifying 481 yields: % 58.69/24.09 | (397) e4 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (397) can reduce 49 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (325) ~ (all_0_38_38 = e4) % 58.69/24.09 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (130), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (430) all_0_43_43 = e1 % 58.69/24.09 | % 58.69/24.09 | Combining equations (430,396) yields a new equation: % 58.69/24.09 | (630) e4 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (630) can reduce 110 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (433) ~ (all_0_43_43 = e1) % 58.69/24.09 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (582), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (437) all_0_41_41 = e4 % 58.69/24.09 | % 58.69/24.09 | Equations (437) can reduce 440 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (440) ~ (all_0_41_41 = e4) % 58.69/24.09 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (27), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (437) all_0_41_41 = e4 % 58.69/24.09 | % 58.69/24.09 | Equations (437) can reduce 440 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (440) ~ (all_0_41_41 = e4) % 58.69/24.09 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (434), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (615) all_0_48_48 = e1 % 58.69/24.09 | % 58.69/24.09 | Combining equations (1279,615) yields a new equation: % 58.69/24.09 | (431) e1 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (431) can reduce 233 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (619) ~ (all_0_48_48 = e1) % 58.69/24.09 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (4049), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (794) all_0_41_41 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (794) can reduce 357 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (357) ~ (all_0_41_41 = e0) % 58.69/24.09 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (620), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (642) all_0_52_52 = e1 % 58.69/24.09 | % 58.69/24.09 | Combining equations (642,352) yields a new equation: % 58.69/24.09 | (617) e2 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (617) can reduce 122 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (646) ~ (all_0_52_52 = e1) % 58.69/24.09 | (647) all_0_57_57 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (647) can reduce 148 to: % 58.69/24.09 | (879) ~ (all_0_58_58 = e1) % 58.69/24.09 | % 58.69/24.09 | Simplifying 879 yields: % 58.69/24.09 | (880) ~ (all_0_58_58 = e1) % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (4053), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (453) all_0_41_41 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (453) can reduce 214 to: % 58.69/24.09 | (4055) ~ (all_0_42_42 = e1) % 58.69/24.09 | % 58.69/24.09 | Simplifying 4055 yields: % 58.69/24.09 | (1380) ~ (all_0_42_42 = e1) % 58.69/24.09 | % 58.69/24.09 | Equations (453) can reduce 149 to: % 58.69/24.09 | (4057) ~ (all_0_44_44 = e1) % 58.69/24.09 | % 58.69/24.09 | Simplifying 4057 yields: % 58.69/24.09 | (639) ~ (all_0_44_44 = e1) % 58.69/24.09 | % 58.69/24.09 | Equations (453) can reduce 1898 to: % 58.69/24.09 | (467) ~ (e3 = e1) % 58.69/24.09 | % 58.69/24.09 | Simplifying 467 yields: % 58.69/24.09 | (213) ~ (e3 = e1) % 58.69/24.09 | % 58.69/24.09 | Equations (453) can reduce 85 to: % 58.69/24.09 | (604) ~ (e2 = e1) % 58.69/24.09 | % 58.69/24.09 | Simplifying 604 yields: % 58.69/24.09 | (122) ~ (e2 = e1) % 58.69/24.09 | % 58.69/24.09 | From (453) and (219) follows: % 58.69/24.09 | (12512) op(e3, e3) = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (112), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (635) all_0_44_44 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (635) can reduce 639 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (639) ~ (all_0_44_44 = e1) % 58.69/24.09 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (640), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (671) all_0_49_49 = e1 % 58.69/24.09 | % 58.69/24.09 | Combining equations (583,671) yields a new equation: % 58.69/24.09 | (616) e2 = e1 % 58.69/24.09 | % 58.69/24.09 | Simplifying 616 yields: % 58.69/24.09 | (617) e2 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (617) can reduce 122 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (1064) ~ (all_0_49_49 = e1) % 58.69/24.09 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (2141), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (1208) all_0_53_53 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (1208) can reduce 190 to: % 58.69/24.09 | (759) ~ (all_0_50_50 = e1) % 58.69/24.09 | % 58.69/24.09 | Equations (1208) can reduce 247 to: % 58.69/24.09 | (233) ~ (e1 = e0) % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (168), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (415) all_0_50_50 = e3 % 58.69/24.09 | % 58.69/24.09 | Equations (415) can reduce 411 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (411) ~ (all_0_50_50 = e3) % 58.69/24.09 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (769), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (770) all_0_46_46 = e4 % 58.69/24.09 | % 58.69/24.09 | Combining equations (770,1557) yields a new equation: % 58.69/24.09 | (424) e4 = e3 % 58.69/24.09 | % 58.69/24.09 | Simplifying 424 yields: % 58.69/24.09 | (425) e4 = e3 % 58.69/24.09 | % 58.69/24.09 | Equations (425) can reduce 188 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (250) ~ (all_0_46_46 = e4) % 58.69/24.09 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (418), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (660) all_0_51_51 = e3 % 58.69/24.09 | % 58.69/24.09 | Equations (660) can reduce 61 to: % 58.69/24.09 | (405) ~ (all_0_42_42 = e3) % 58.69/24.09 | % 58.69/24.09 | Equations (660) can reduce 115 to: % 58.69/24.09 | (80) ~ (e3 = e0) % 58.69/24.09 | % 58.69/24.09 | From (660) and (186) follows: % 58.69/24.09 | (1552) op(e1, e2) = e3 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (774), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (775) all_0_50_50 = e4 % 58.69/24.09 | % 58.69/24.09 | Equations (775) can reduce 302 to: % 58.69/24.09 | (48) ~ (e4 = e2) % 58.69/24.09 | % 58.69/24.09 | Equations (775) can reduce 759 to: % 58.69/24.09 | (110) ~ (e4 = e1) % 58.69/24.09 | % 58.69/24.09 | Equations (775) can reduce 121 to: % 58.69/24.09 | (49) ~ (e4 = e0) % 58.69/24.09 | % 58.69/24.09 | From (775) and (242) follows: % 58.69/24.09 | (5059) op(e1, e3) = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (189), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (532) all_0_44_44 = e3 % 58.69/24.09 | % 58.69/24.09 | Equations (532) can reduce 181 to: % 58.69/24.09 | (275) ~ (all_0_58_58 = e3) % 58.69/24.09 | % 58.69/24.09 | Simplifying 275 yields: % 58.69/24.09 | (276) ~ (all_0_58_58 = e3) % 58.69/24.09 | % 58.69/24.09 | Equations (532) can reduce 1390 to: % 58.69/24.09 | (277) ~ (e4 = e3) % 58.69/24.09 | % 58.69/24.09 | Simplifying 277 yields: % 58.69/24.09 | (188) ~ (e4 = e3) % 58.69/24.09 | % 58.69/24.09 | Equations (532) can reduce 147 to: % 58.69/24.09 | (212) ~ (e3 = e2) % 58.69/24.09 | % 58.69/24.09 | From (532) and (138) follows: % 58.69/24.09 | (1639) op(e3, e0) = e3 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (165), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (794) all_0_41_41 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (794,453) yields a new equation: % 58.69/24.09 | (431) e1 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (431) can reduce 233 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (357) ~ (all_0_41_41 = e0) % 58.69/24.09 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (171), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (265) all_0_54_54 = e4 % 58.69/24.09 | % 58.69/24.09 | Combining equations (265,268) yields a new equation: % 58.69/24.09 | (424) e4 = e3 % 58.69/24.09 | % 58.69/24.09 | Simplifying 424 yields: % 58.69/24.09 | (425) e4 = e3 % 58.69/24.09 | % 58.69/24.09 | Equations (425) can reduce 188 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (258) ~ (all_0_54_54 = e4) % 58.69/24.09 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.69/24.09 | % 58.69/24.09 | Equations (268) can reduce 258 to: % 58.69/24.09 | (277) ~ (e4 = e3) % 58.69/24.09 | % 58.69/24.09 | Simplifying 277 yields: % 58.69/24.09 | (188) ~ (e4 = e3) % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (108), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (624) all_0_58_58 = e2 % 58.69/24.09 | % 58.69/24.09 | Equations (624) can reduce 908 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (908) ~ (all_0_58_58 = e2) % 58.69/24.09 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (75), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (485) all_0_40_40 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (1378,485) yields a new equation: % 58.69/24.09 | (481) e4 = e0 % 58.69/24.09 | % 58.69/24.09 | Simplifying 481 yields: % 58.69/24.09 | (397) e4 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (397) can reduce 49 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (1401) ~ (all_0_40_40 = e0) % 58.69/24.09 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (164), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (471) all_0_39_39 = e4 % 58.69/24.09 | % 58.69/24.09 | Combining equations (471,317) yields a new equation: % 58.69/24.09 | (322) e4 = e2 % 58.69/24.09 | % 58.69/24.09 | Simplifying 322 yields: % 58.69/24.09 | (323) e4 = e2 % 58.69/24.09 | % 58.69/24.09 | Equations (323) can reduce 48 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (1377) ~ (all_0_39_39 = e4) % 58.69/24.09 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (1748), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (1414) all_0_44_44 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (532,1414) yields a new equation: % 58.69/24.09 | (675) e3 = e0 % 58.69/24.09 | % 58.69/24.09 | Simplifying 675 yields: % 58.69/24.09 | (676) e3 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (676) can reduce 80 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (360) ~ (all_0_44_44 = e0) % 58.69/24.09 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (2115), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (1392) all_0_42_42 = e4 % 58.69/24.09 | % 58.69/24.09 | Equations (1392) can reduce 1890 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.09 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (1760), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (978) all_0_49_49 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (583,978) yields a new equation: % 58.69/24.09 | (391) e2 = e0 % 58.69/24.09 | % 58.69/24.09 | Simplifying 391 yields: % 58.69/24.09 | (330) e2 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (330) can reduce 128 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (487) ~ (all_0_49_49 = e0) % 58.69/24.09 | (914) all_0_58_58 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (914) can reduce 44 to: % 58.69/24.09 | (828) ~ (all_0_56_56 = e0) % 58.69/24.09 | % 58.69/24.09 | Equations (914) can reduce 276 to: % 58.69/24.09 | (541) ~ (e3 = e0) % 58.69/24.09 | % 58.69/24.09 | Simplifying 541 yields: % 58.69/24.09 | (80) ~ (e3 = e0) % 58.69/24.09 | % 58.69/24.09 | Equations (914) can reduce 908 to: % 58.69/24.09 | (365) ~ (e2 = e0) % 58.69/24.09 | % 58.69/24.09 | Simplifying 365 yields: % 58.69/24.09 | (128) ~ (e2 = e0) % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (2246), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (1790) all_0_47_47 = e4 % 58.69/24.09 | % 58.69/24.09 | Combining equations (1790,654) yields a new equation: % 58.69/24.09 | (636) e4 = e1 % 58.69/24.09 | % 58.69/24.09 | Simplifying 636 yields: % 58.69/24.09 | (630) e4 = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (630) can reduce 110 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (252) ~ (all_0_47_47 = e4) % 58.69/24.09 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (104), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (480) all_0_39_39 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (480,317) yields a new equation: % 58.69/24.09 | (330) e2 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (330) can reduce 128 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (484) ~ (all_0_39_39 = e0) % 58.69/24.09 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (558), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (559) all_0_42_42 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (559) can reduce 1380 to: % 58.69/24.09 | (435) ~ (e1 = e0) % 58.69/24.09 | % 58.69/24.09 | Simplifying 435 yields: % 58.69/24.09 | (233) ~ (e1 = e0) % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (6548), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (1101) all_0_51_51 = e4 % 58.69/24.09 | % 58.69/24.09 | Combining equations (660,1101) yields a new equation: % 58.69/24.09 | (425) e4 = e3 % 58.69/24.09 | % 58.69/24.09 | Equations (425) can reduce 188 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (475) ~ (all_0_51_51 = e4) % 58.69/24.09 | (842) all_0_56_56 = e4 % 58.69/24.09 | % 58.69/24.09 | From (842) and (111) follows: % 58.69/24.09 | (2154) op(e0, e2) = e4 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (56), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (696) unit = e2 % 58.69/24.09 | % 58.69/24.09 | From (696) and (227) follows: % 58.69/24.09 | (4284) op(e4, e2) = e4 % 58.69/24.09 | % 58.69/24.09 | From (696) and (32) follows: % 58.69/24.09 | (698) op(e2, e2) = e2 % 58.69/24.09 | % 58.69/24.09 | From (696) and (42) follows: % 58.69/24.09 | (1613) op(e0, e2) = e0 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.69/24.09 | (323) e4 = e2 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 58.69/24.09 | (617) e2 = e1 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.69/24.09 | (397) e4 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (323,397) yields a new equation: % 58.69/24.09 | (391) e2 = e0 % 58.69/24.09 | % 58.69/24.09 | Simplifying 391 yields: % 58.69/24.09 | (330) e2 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (617,330) yields a new equation: % 58.69/24.09 | (546) e1 = e0 % 58.69/24.09 | % 58.69/24.09 | Simplifying 546 yields: % 58.69/24.09 | (431) e1 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (431) can reduce 233 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (707) ~ (unit = e2) % 58.69/24.09 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (708), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (709) unit = e4 % 58.69/24.09 | % 58.69/24.09 | From (709) and (211) follows: % 58.69/24.09 | (22527) op(e4, e1) = e1 % 58.69/24.09 | % 58.69/24.09 | From (709) and (42) follows: % 58.69/24.09 | (713) op(e0, e4) = e0 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.69/24.09 | (455) e3 = e1 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.69/24.09 | (676) e3 = e0 % 58.69/24.09 | % 58.69/24.09 | Combining equations (455,676) yields a new equation: % 58.69/24.09 | (546) e1 = e0 % 58.69/24.09 | % 58.69/24.09 | Simplifying 546 yields: % 58.69/24.09 | (431) e1 = e0 % 58.69/24.09 | % 58.69/24.09 | Equations (431) can reduce 233 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (724) ~ (unit = e4) % 58.69/24.09 | (725) unit = e3 | unit = e1 | unit = e0 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (725), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (726) unit = e0 % 58.69/24.09 | % 58.69/24.09 | From (726) and (244) follows: % 58.69/24.09 | (2207) op(e0, e4) = e4 % 58.69/24.09 | % 58.69/24.09 | From (726) and (15) follows: % 58.69/24.09 | (1508) op(e0, e2) = e2 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.69/24.09 | (425) e4 = e3 % 58.69/24.09 | % 58.69/24.09 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.69/24.09 | (323) e4 = e2 % 58.69/24.09 | % 58.69/24.09 | Combining equations (425,323) yields a new equation: % 58.69/24.09 | (661) e3 = e2 % 58.69/24.09 | % 58.69/24.09 | Simplifying 661 yields: % 58.69/24.09 | (662) e3 = e2 % 58.69/24.09 | % 58.69/24.09 | Equations (662) can reduce 212 to: % 58.69/24.09 | (266) $false % 58.69/24.09 | % 58.69/24.09 |-The branch is then unsatisfiable % 58.69/24.09 |-Branch two: % 58.69/24.09 | (734) ~ (unit = e0) % 58.69/24.09 | (735) unit = e3 | unit = e1 % 58.69/24.09 | % 58.69/24.09 +-Applying beta-rule and splitting (735), into two cases. % 58.69/24.09 |-Branch one: % 58.69/24.09 | (736) unit = e1 % 58.69/24.09 | % 58.69/24.09 | Equations (736) can reduce 734 to: % 58.69/24.09 | (233) ~ (e1 = e0) % 58.69/24.09 | % 58.69/24.09 | From (736) and (244) follows: % 58.69/24.10 | (738) op(e1, e4) = e4 % 58.69/24.10 | % 58.69/24.10 | From (736) and (24) follows: % 58.69/24.10 | (1934) op(e1, e3) = e3 % 58.69/24.10 | % 58.69/24.10 | From (736) and (15) follows: % 58.69/24.10 | (515) op(e1, e2) = e2 % 58.69/24.10 | % 58.69/24.10 | From (736) and (28) follows: % 58.69/24.10 | (740) op(e1, e1) = e1 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.69/24.10 | (397) e4 = e0 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields: % 58.69/24.10 | (425) e4 = e3 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.69/24.10 | (662) e3 = e2 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.69/24.10 | (617) e2 = e1 % 58.69/24.10 | % 58.69/24.10 | Combining equations (397,425) yields a new equation: % 58.69/24.10 | (676) e3 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (676,662) yields a new equation: % 58.69/24.10 | (330) e2 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (617,330) yields a new equation: % 58.69/24.10 | (546) e1 = e0 % 58.69/24.10 | % 58.69/24.10 | Simplifying 546 yields: % 58.69/24.10 | (431) e1 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (431) can reduce 233 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (748) ~ (unit = e1) % 58.69/24.10 | (749) unit = e3 % 58.69/24.10 | % 58.69/24.10 | From (749) and (209) follows: % 58.69/24.10 | (1667) op(e3, e0) = e0 % 58.69/24.10 | % 58.69/24.10 | From (749) and (40) follows: % 58.69/24.10 | (3715) op(e3, e3) = e3 % 58.69/24.10 | % 58.69/24.10 | From (749) and (32) follows: % 58.69/24.10 | (5793) op(e2, e3) = e2 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 58.69/24.10 | (455) e3 = e1 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.69/24.10 | (676) e3 = e0 % 58.69/24.10 | % 58.69/24.10 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.69/24.10 | (662) e3 = e2 % 58.69/24.10 | % 58.69/24.10 | Combining equations (455,662) yields a new equation: % 58.69/24.10 | (617) e2 = e1 % 58.69/24.10 | % 58.69/24.10 | Combining equations (676,662) yields a new equation: % 58.69/24.10 | (330) e2 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (617,330) yields a new equation: % 58.69/24.10 | (546) e1 = e0 % 58.69/24.10 | % 58.69/24.10 | Simplifying 546 yields: % 58.69/24.10 | (431) e1 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (431) can reduce 233 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (358) ~ (all_0_42_42 = e0) % 58.69/24.10 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (152), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (1392) all_0_42_42 = e4 % 58.69/24.10 | % 58.69/24.10 | Equations (1392) can reduce 1890 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.10 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (6548), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (1101) all_0_51_51 = e4 % 58.69/24.10 | % 58.69/24.10 | Combining equations (660,1101) yields a new equation: % 58.69/24.10 | (425) e4 = e3 % 58.69/24.10 | % 58.69/24.10 | Equations (425) can reduce 188 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (475) ~ (all_0_51_51 = e4) % 58.69/24.10 | (842) all_0_56_56 = e4 % 58.69/24.10 | % 58.69/24.10 | Equations (842) can reduce 828 to: % 58.69/24.10 | (49) ~ (e4 = e0) % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (1969), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (559) all_0_42_42 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (559) can reduce 358 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (358) ~ (all_0_42_42 = e0) % 58.69/24.10 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (6761), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (559) all_0_42_42 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (559) can reduce 358 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (358) ~ (all_0_42_42 = e0) % 58.69/24.10 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (6766), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (356) all_0_43_43 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (356,396) yields a new equation: % 58.69/24.10 | (397) e4 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (397) can reduce 49 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (5470) ~ (all_0_43_43 = e0) % 58.69/24.10 | (1414) all_0_44_44 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (532,1414) yields a new equation: % 58.69/24.10 | (675) e3 = e0 % 58.69/24.10 | % 58.69/24.10 | Simplifying 675 yields: % 58.69/24.10 | (676) e3 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (676) can reduce 80 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (407) ~ (all_0_44_44 = e3) % 58.69/24.10 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (1899), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (516) all_0_42_42 = e3 % 58.69/24.10 | % 58.69/24.10 | Equations (516) can reduce 405 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (405) ~ (all_0_42_42 = e3) % 58.69/24.10 | (532) all_0_44_44 = e3 % 58.69/24.10 | % 58.69/24.10 | Equations (532) can reduce 407 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (566) ~ (all_0_50_50 = e4) % 58.69/24.10 | (587) all_0_55_55 = e4 % 58.69/24.10 | % 58.69/24.10 | Combining equations (386,587) yields a new equation: % 58.69/24.10 | (323) e4 = e2 % 58.69/24.10 | % 58.69/24.10 | Equations (323) can reduce 48 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (664) ~ (all_0_51_51 = e3) % 58.69/24.10 | (665) all_0_53_53 = e3 % 58.69/24.10 | % 58.69/24.10 | Combining equations (1208,665) yields a new equation: % 58.69/24.10 | (455) e3 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (455) can reduce 213 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (1459) ~ (all_0_53_53 = e1) % 58.69/24.10 | (918) all_0_58_58 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (918) can reduce 880 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (457) ~ (all_0_41_41 = e1) % 58.69/24.10 | (403) all_0_41_41 = e3 % 58.69/24.10 | % 58.69/24.10 | Equations (403) can reduce 1898 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (399) ~ (all_0_43_43 = e4) % 58.69/24.10 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (6374), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (356) all_0_43_43 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (356) can reduce 5470 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (5470) ~ (all_0_43_43 = e0) % 58.69/24.10 | (430) all_0_43_43 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (430) can reduce 240 to: % 58.69/24.10 | (1380) ~ (all_0_42_42 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (430) can reduce 199 to: % 58.69/24.10 | (2437) ~ (all_0_57_57 = e1) % 58.69/24.10 | % 58.69/24.10 | Simplifying 2437 yields: % 58.69/24.10 | (1670) ~ (all_0_57_57 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (430) can reduce 96 to: % 58.69/24.10 | (604) ~ (e2 = e1) % 58.69/24.10 | % 58.69/24.10 | Simplifying 604 yields: % 58.69/24.10 | (122) ~ (e2 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (430) can reduce 5470 to: % 58.69/24.10 | (233) ~ (e1 = e0) % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (216), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (629) all_0_55_55 = e1 % 58.69/24.10 | % 58.69/24.10 | Combining equations (386,629) yields a new equation: % 58.69/24.10 | (616) e2 = e1 % 58.69/24.10 | % 58.69/24.10 | Simplifying 616 yields: % 58.69/24.10 | (617) e2 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (617) can reduce 122 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (632) ~ (all_0_55_55 = e1) % 58.69/24.10 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (633), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (1569) all_0_56_56 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (1569) can reduce 466 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (466) ~ (all_0_56_56 = e1) % 58.69/24.10 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (1574), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (647) all_0_57_57 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (647) can reduce 1670 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (1670) ~ (all_0_57_57 = e1) % 58.69/24.10 | (918) all_0_58_58 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (918) can reduce 10 to: % 58.69/24.10 | (1459) ~ (all_0_53_53 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (918) can reduce 44 to: % 58.69/24.10 | (466) ~ (all_0_56_56 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (918) can reduce 148 to: % 58.69/24.10 | (1670) ~ (all_0_57_57 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (918) can reduce 451 to: % 58.69/24.10 | (602) ~ (e4 = e1) % 58.69/24.10 | % 58.69/24.10 | Simplifying 602 yields: % 58.69/24.10 | (110) ~ (e4 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (918) can reduce 908 to: % 58.69/24.10 | (604) ~ (e2 = e1) % 58.69/24.10 | % 58.69/24.10 | Simplifying 604 yields: % 58.69/24.10 | (122) ~ (e2 = e1) % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (75), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (485) all_0_40_40 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (485,1378) yields a new equation: % 58.69/24.10 | (397) e4 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (397) can reduce 49 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (1401) ~ (all_0_40_40 = e0) % 58.69/24.10 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (27), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (437) all_0_41_41 = e4 % 58.69/24.10 | % 58.69/24.10 | Equations (437) can reduce 214 to: % 58.69/24.10 | (1901) ~ (all_0_42_42 = e4) % 58.69/24.10 | % 58.69/24.10 | Simplifying 1901 yields: % 58.69/24.10 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.10 | % 58.69/24.10 | Equations (437) can reduce 221 to: % 58.69/24.10 | (1907) ~ (all_0_50_50 = e4) % 58.69/24.10 | % 58.69/24.10 | Simplifying 1907 yields: % 58.69/24.10 | (566) ~ (all_0_50_50 = e4) % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (1748), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (1414) all_0_44_44 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (1414) can reduce 73 to: % 58.69/24.10 | (358) ~ (all_0_42_42 = e0) % 58.69/24.10 | % 58.69/24.10 | Equations (1414) can reduce 147 to: % 58.69/24.10 | (365) ~ (e2 = e0) % 58.69/24.10 | % 58.69/24.10 | Simplifying 365 yields: % 58.69/24.10 | (128) ~ (e2 = e0) % 58.69/24.10 | % 58.69/24.10 | From (1414) and (138) follows: % 58.69/24.10 | (1667) op(e3, e0) = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (160), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (601) all_0_50_50 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (601) can reduce 566 to: % 58.69/24.10 | (602) ~ (e4 = e1) % 58.69/24.10 | % 58.69/24.10 | Simplifying 602 yields: % 58.69/24.10 | (110) ~ (e4 = e1) % 58.69/24.10 | % 58.69/24.10 | Equations (601) can reduce 121 to: % 58.69/24.10 | (233) ~ (e1 = e0) % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (231), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (775) all_0_50_50 = e4 % 58.69/24.10 | % 58.69/24.10 | Combining equations (601,775) yields a new equation: % 58.69/24.10 | (630) e4 = e1 % 58.69/24.10 | % 58.69/24.10 | Equations (630) can reduce 110 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (566) ~ (all_0_50_50 = e4) % 58.69/24.10 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (104), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (480) all_0_39_39 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (480,317) yields a new equation: % 58.69/24.10 | (330) e2 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (330) can reduce 128 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (484) ~ (all_0_39_39 = e0) % 58.69/24.10 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (558), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (559) all_0_42_42 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (559) can reduce 358 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (358) ~ (all_0_42_42 = e0) % 58.69/24.10 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (563), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (674) all_0_47_47 = e0 % 58.69/24.10 | % 58.69/24.10 | Combining equations (654,674) yields a new equation: % 58.69/24.10 | (546) e1 = e0 % 58.69/24.10 | % 58.69/24.10 | Simplifying 546 yields: % 58.69/24.10 | (431) e1 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (431) can reduce 233 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (678) ~ (all_0_47_47 = e0) % 58.69/24.10 | (679) all_0_56_56 = e0 % 58.69/24.10 | % 58.69/24.10 | Equations (679) can reduce 236 to: % 58.69/24.10 | (358) ~ (all_0_42_42 = e0) % 58.69/24.10 | % 58.69/24.10 | Equations (679) can reduce 140 to: % 58.69/24.10 | (363) ~ (all_0_57_57 = e0) % 58.69/24.10 | % 58.69/24.10 | Simplifying 363 yields: % 58.69/24.10 | (364) ~ (all_0_57_57 = e0) % 58.69/24.10 | % 58.69/24.10 | Equations (679) can reduce 511 to: % 58.69/24.10 | (365) ~ (e2 = e0) % 58.69/24.10 | % 58.69/24.10 | Simplifying 365 yields: % 58.69/24.10 | (128) ~ (e2 = e0) % 58.69/24.10 | % 58.69/24.10 | Equations (679) can reduce 466 to: % 58.69/24.10 | (435) ~ (e1 = e0) % 58.69/24.10 | % 58.69/24.10 | Simplifying 435 yields: % 58.69/24.10 | (233) ~ (e1 = e0) % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (12), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (442) all_0_57_57 = e2 % 58.69/24.10 | % 58.69/24.10 | Equations (442) can reduce 344 to: % 58.69/24.10 | (266) $false % 58.69/24.10 | % 58.69/24.10 |-The branch is then unsatisfiable % 58.69/24.10 |-Branch two: % 58.69/24.10 | (344) ~ (all_0_57_57 = e2) % 58.69/24.10 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 58.69/24.10 | % 58.69/24.10 +-Applying beta-rule and splitting (152), into two cases. % 58.69/24.10 |-Branch one: % 58.69/24.10 | (1392) all_0_42_42 = e4 % 58.69/24.10 | % 58.69/24.11 | Equations (1392) can reduce 1890 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.11 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (445), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (871) all_0_57_57 = e4 % 58.69/24.11 | % 58.69/24.11 | Equations (871) can reduce 344 to: % 58.69/24.11 | (48) ~ (e4 = e2) % 58.69/24.11 | % 58.69/24.11 | From (871) and (83) follows: % 58.69/24.11 | (3109) op(e0, e1) = e4 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (1969), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (559) all_0_42_42 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (559) can reduce 358 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (358) ~ (all_0_42_42 = e0) % 58.69/24.11 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (2510), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (459) all_0_42_42 = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (459) can reduce 1380 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (1380) ~ (all_0_42_42 = e1) % 58.69/24.11 | (516) all_0_42_42 = e3 % 58.69/24.11 | % 58.69/24.11 | Equations (516) can reduce 61 to: % 58.69/24.11 | (1925) ~ (all_0_51_51 = e3) % 58.69/24.11 | % 58.69/24.11 | Simplifying 1925 yields: % 58.69/24.11 | (664) ~ (all_0_51_51 = e3) % 58.69/24.11 | % 58.69/24.11 | Equations (516) can reduce 1380 to: % 58.69/24.11 | (213) ~ (e3 = e1) % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (168), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (415) all_0_50_50 = e3 % 58.69/24.11 | % 58.69/24.11 | Combining equations (601,415) yields a new equation: % 58.69/24.11 | (455) e3 = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (455) can reduce 213 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (411) ~ (all_0_50_50 = e3) % 58.69/24.11 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (1071), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (1101) all_0_51_51 = e4 % 58.69/24.11 | % 58.69/24.11 | From (1101) and (186) follows: % 58.69/24.11 | (13720) op(e1, e2) = e4 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (56), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (696) unit = e2 % 58.69/24.11 | % 58.69/24.11 | From (696) and (209) follows: % 58.69/24.11 | (7585) op(e2, e0) = e0 % 58.69/24.11 | % 58.69/24.11 | From (696) and (227) follows: % 58.69/24.11 | (4284) op(e4, e2) = e4 % 58.69/24.11 | % 58.69/24.11 | From (696) and (28) follows: % 58.69/24.11 | (699) op(e1, e2) = e1 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.69/24.11 | (323) e4 = e2 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.69/24.11 | (330) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.69/24.11 | (630) e4 = e1 % 58.69/24.11 | % 58.69/24.11 | Combining equations (323,630) yields a new equation: % 58.69/24.11 | (616) e2 = e1 % 58.69/24.11 | % 58.69/24.11 | Simplifying 616 yields: % 58.69/24.11 | (617) e2 = e1 % 58.69/24.11 | % 58.69/24.11 | Combining equations (330,617) yields a new equation: % 58.69/24.11 | (431) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (431) can reduce 233 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (707) ~ (unit = e2) % 58.69/24.11 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (708), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (709) unit = e4 % 58.69/24.11 | % 58.69/24.11 | From (709) and (211) follows: % 58.69/24.11 | (22527) op(e4, e1) = e1 % 58.69/24.11 | % 58.69/24.11 | From (709) and (42) follows: % 58.69/24.11 | (713) op(e0, e4) = e0 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.69/24.11 | (455) e3 = e1 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.69/24.11 | (676) e3 = e0 % 58.69/24.11 | % 58.69/24.11 | Combining equations (455,676) yields a new equation: % 58.69/24.11 | (546) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Simplifying 546 yields: % 58.69/24.11 | (431) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (431) can reduce 233 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (724) ~ (unit = e4) % 58.69/24.11 | (725) unit = e3 | unit = e1 | unit = e0 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (725), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (726) unit = e0 % 58.69/24.11 | % 58.69/24.11 | From (726) and (244) follows: % 58.69/24.11 | (2207) op(e0, e4) = e4 % 58.69/24.11 | % 58.69/24.11 | From (726) and (24) follows: % 58.69/24.11 | (2208) op(e0, e3) = e3 % 58.69/24.11 | % 58.69/24.11 | From (726) and (211) follows: % 58.69/24.11 | (15180) op(e0, e1) = e1 % 58.69/24.11 | % 58.69/24.11 | From (726) and (40) follows: % 58.69/24.11 | (1639) op(e3, e0) = e3 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.69/24.11 | (676) e3 = e0 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.69/24.11 | (425) e4 = e3 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 58.69/24.11 | (662) e3 = e2 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 58.69/24.11 | (630) e4 = e1 % 58.69/24.11 | % 58.69/24.11 | Combining equations (630,425) yields a new equation: % 58.69/24.11 | (455) e3 = e1 % 58.69/24.11 | % 58.69/24.11 | Combining equations (455,662) yields a new equation: % 58.69/24.11 | (617) e2 = e1 % 58.69/24.11 | % 58.69/24.11 | Combining equations (676,662) yields a new equation: % 58.69/24.11 | (330) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Combining equations (617,330) yields a new equation: % 58.69/24.11 | (546) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Simplifying 546 yields: % 58.69/24.11 | (431) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (431) can reduce 233 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (734) ~ (unit = e0) % 58.69/24.11 | (735) unit = e3 | unit = e1 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (735), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (736) unit = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (736) can reduce 734 to: % 58.69/24.11 | (233) ~ (e1 = e0) % 58.69/24.11 | % 58.69/24.11 | From (736) and (15) follows: % 58.69/24.11 | (515) op(e1, e2) = e2 % 58.69/24.11 | % 58.69/24.11 | From (736) and (28) follows: % 58.69/24.11 | (740) op(e1, e1) = e1 % 58.69/24.11 | % 58.69/24.11 | From (736) and (42) follows: % 58.69/24.11 | (3221) op(e0, e1) = e0 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 58.69/24.11 | (323) e4 = e2 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 58.69/24.11 | (617) e2 = e1 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 58.69/24.11 | (397) e4 = e0 % 58.69/24.11 | % 58.69/24.11 | Combining equations (323,397) yields a new equation: % 58.69/24.11 | (391) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Simplifying 391 yields: % 58.69/24.11 | (330) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Combining equations (617,330) yields a new equation: % 58.69/24.11 | (546) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Simplifying 546 yields: % 58.69/24.11 | (431) e1 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (431) can reduce 233 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (748) ~ (unit = e1) % 58.69/24.11 | (749) unit = e3 % 58.69/24.11 | % 58.69/24.11 | From (749) and (244) follows: % 58.69/24.11 | (750) op(e3, e4) = e4 % 58.69/24.11 | % 58.69/24.11 | From (749) and (227) follows: % 58.69/24.11 | (22570) op(e4, e3) = e4 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.69/24.11 | (397) e4 = e0 % 58.69/24.11 | % 58.69/24.11 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.69/24.11 | (323) e4 = e2 % 58.69/24.11 | % 58.69/24.11 | Combining equations (397,323) yields a new equation: % 58.69/24.11 | (330) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (330) can reduce 128 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (475) ~ (all_0_51_51 = e4) % 58.69/24.11 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (164), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (471) all_0_39_39 = e4 % 58.69/24.11 | % 58.69/24.11 | Combining equations (471,317) yields a new equation: % 58.69/24.11 | (322) e4 = e2 % 58.69/24.11 | % 58.69/24.11 | Simplifying 322 yields: % 58.69/24.11 | (323) e4 = e2 % 58.69/24.11 | % 58.69/24.11 | Equations (323) can reduce 48 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (1377) ~ (all_0_39_39 = e4) % 58.69/24.11 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.11 | % 58.69/24.11 | Equations (317) can reduce 1377 to: % 58.69/24.11 | (327) ~ (e4 = e2) % 58.69/24.11 | % 58.69/24.11 | Simplifying 327 yields: % 58.69/24.11 | (48) ~ (e4 = e2) % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (418), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (660) all_0_51_51 = e3 % 58.69/24.11 | % 58.69/24.11 | Equations (660) can reduce 664 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (664) ~ (all_0_51_51 = e3) % 58.69/24.11 | (665) all_0_53_53 = e3 % 58.69/24.11 | % 58.69/24.11 | Equations (665) can reduce 1453 to: % 58.69/24.11 | (277) ~ (e4 = e3) % 58.69/24.11 | % 58.69/24.11 | Simplifying 277 yields: % 58.69/24.11 | (188) ~ (e4 = e3) % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (2115), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (1392) all_0_42_42 = e4 % 58.69/24.11 | % 58.69/24.11 | Combining equations (1392,516) yields a new equation: % 58.69/24.11 | (424) e4 = e3 % 58.69/24.11 | % 58.69/24.11 | Simplifying 424 yields: % 58.69/24.11 | (425) e4 = e3 % 58.69/24.11 | % 58.69/24.11 | Equations (425) can reduce 188 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.11 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.69/24.11 | % 58.69/24.11 | Equations (516) can reduce 1890 to: % 58.69/24.11 | (277) ~ (e4 = e3) % 58.69/24.11 | % 58.69/24.11 | Simplifying 277 yields: % 58.69/24.11 | (188) ~ (e4 = e3) % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (1294), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (565) all_0_52_52 = e4 % 58.69/24.11 | % 58.69/24.11 | Combining equations (352,565) yields a new equation: % 58.69/24.11 | (323) e4 = e2 % 58.69/24.11 | % 58.69/24.11 | Equations (323) can reduce 48 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (780) ~ (all_0_52_52 = e4) % 58.69/24.11 | (1298) all_0_53_53 = e4 % 58.69/24.11 | % 58.69/24.11 | Combining equations (665,1298) yields a new equation: % 58.69/24.11 | (425) e4 = e3 % 58.69/24.11 | % 58.69/24.11 | Equations (425) can reduce 188 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (839) ~ (all_0_57_57 = e4) % 58.69/24.11 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (874), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (875) all_0_57_57 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (875) can reduce 364 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (364) ~ (all_0_57_57 = e0) % 58.69/24.11 | (647) all_0_57_57 = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (647) can reduce 1670 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (759) ~ (all_0_50_50 = e1) % 58.69/24.11 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (1168), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (1109) all_0_51_51 = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (1109) can reduce 464 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (464) ~ (all_0_51_51 = e1) % 58.69/24.11 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (1202), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (642) all_0_52_52 = e1 % 58.69/24.11 | % 58.69/24.11 | Combining equations (352,642) yields a new equation: % 58.69/24.11 | (616) e2 = e1 % 58.69/24.11 | % 58.69/24.11 | Simplifying 616 yields: % 58.69/24.11 | (617) e2 = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (617) can reduce 122 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (646) ~ (all_0_52_52 = e1) % 58.69/24.11 | (1208) all_0_53_53 = e1 % 58.69/24.11 | % 58.69/24.11 | Equations (1208) can reduce 1459 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (360) ~ (all_0_44_44 = e0) % 58.69/24.11 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (125), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (858) all_0_55_55 = e0 % 58.69/24.11 | % 58.69/24.11 | Combining equations (386,858) yields a new equation: % 58.69/24.11 | (391) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Simplifying 391 yields: % 58.69/24.11 | (330) e2 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (330) can reduce 128 to: % 58.69/24.11 | (266) $false % 58.69/24.11 | % 58.69/24.11 |-The branch is then unsatisfiable % 58.69/24.11 |-Branch two: % 58.69/24.11 | (803) ~ (all_0_55_55 = e0) % 58.69/24.11 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (863), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (679) all_0_56_56 = e0 % 58.69/24.11 | % 58.69/24.11 | Equations (679) can reduce 511 to: % 58.69/24.11 | (365) ~ (e2 = e0) % 58.69/24.11 | % 58.69/24.11 | Simplifying 365 yields: % 58.69/24.11 | (128) ~ (e2 = e0) % 58.69/24.11 | % 58.69/24.11 | Equations (679) can reduce 466 to: % 58.69/24.11 | (435) ~ (e1 = e0) % 58.69/24.11 | % 58.69/24.11 | Simplifying 435 yields: % 58.69/24.11 | (233) ~ (e1 = e0) % 58.69/24.11 | % 58.69/24.11 +-Applying beta-rule and splitting (1760), into two cases. % 58.69/24.11 |-Branch one: % 58.69/24.11 | (978) all_0_49_49 = e0 % 58.69/24.12 | % 58.69/24.12 | Combining equations (978,583) yields a new equation: % 58.69/24.12 | (330) e2 = e0 % 58.69/24.12 | % 58.69/24.12 | Equations (330) can reduce 128 to: % 58.69/24.12 | (266) $false % 58.69/24.12 | % 58.69/24.12 |-The branch is then unsatisfiable % 58.69/24.12 |-Branch two: % 58.69/24.12 | (487) ~ (all_0_49_49 = e0) % 58.69/24.12 | (914) all_0_58_58 = e0 % 58.69/24.12 | % 58.69/24.12 | Combining equations (918,914) yields a new equation: % 58.69/24.12 | (546) e1 = e0 % 58.69/24.12 | % 58.69/24.12 | Simplifying 546 yields: % 58.69/24.12 | (431) e1 = e0 % 58.69/24.12 | % 58.69/24.12 | Equations (431) can reduce 233 to: % 58.69/24.12 | (266) $false % 58.69/24.12 | % 58.69/24.12 |-The branch is then unsatisfiable % 58.69/24.12 |-Branch two: % 58.69/24.12 | (828) ~ (all_0_56_56 = e0) % 58.69/24.12 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.69/24.12 | % 58.69/24.12 +-Applying beta-rule and splitting (924), into two cases. % 58.69/24.12 |-Branch one: % 58.69/24.12 | (875) all_0_57_57 = e0 % 58.69/24.12 | % 58.69/24.12 | Equations (875) can reduce 364 to: % 58.69/24.12 | (266) $false % 58.69/24.12 | % 58.69/24.12 |-The branch is then unsatisfiable % 58.69/24.12 |-Branch two: % 58.69/24.12 | (364) ~ (all_0_57_57 = e0) % 58.69/24.12 | (914) all_0_58_58 = e0 % 58.69/24.12 | % 58.69/24.12 | Combining equations (914,918) yields a new equation: % 58.69/24.12 | (431) e1 = e0 % 58.69/24.12 | % 58.69/24.12 | Equations (431) can reduce 233 to: % 58.69/24.12 | (266) $false % 58.69/24.12 | % 58.69/24.12 |-The branch is then unsatisfiable % 58.69/24.12 |-Branch two: % 58.69/24.12 | (440) ~ (all_0_41_41 = e4) % 58.69/24.12 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.69/24.12 | % 58.69/24.12 +-Applying beta-rule and splitting (160), into two cases. % 58.69/24.12 |-Branch one: % 58.69/24.12 | (601) all_0_50_50 = e1 % 58.69/24.12 | % 58.69/24.12 | Equations (601) can reduce 59 to: % 58.69/24.12 | (463) ~ (all_0_51_51 = e1) % 58.69/24.12 | % 58.69/24.12 | Simplifying 463 yields: % 58.69/24.12 | (464) ~ (all_0_51_51 = e1) % 58.69/24.12 | % 58.69/24.12 | Equations (601) can reduce 411 to: % 58.69/24.12 | (467) ~ (e3 = e1) % 58.69/24.12 | % 58.69/24.12 | Simplifying 467 yields: % 58.69/24.12 | (213) ~ (e3 = e1) % 58.69/24.12 | % 58.69/24.12 | Equations (601) can reduce 121 to: % 58.69/24.12 | (233) ~ (e1 = e0) % 58.69/24.12 | % 58.69/24.12 +-Applying beta-rule and splitting (231), into two cases. % 58.69/24.12 |-Branch one: % 58.69/24.12 | (775) all_0_50_50 = e4 % 58.69/24.12 | % 58.69/24.12 | Combining equations (601,775) yields a new equation: % 58.69/24.12 | (630) e4 = e1 % 58.69/24.12 | % 58.69/24.12 | Equations (630) can reduce 110 to: % 58.69/24.12 | (266) $false % 58.69/24.12 | % 58.69/24.12 |-The branch is then unsatisfiable % 58.69/24.12 |-Branch two: % 58.69/24.12 | (566) ~ (all_0_50_50 = e4) % 58.69/24.12 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.69/24.12 | % 58.69/24.12 +-Applying beta-rule and splitting (1071), into two cases. % 58.69/24.12 |-Branch one: % 58.69/24.12 | (1101) all_0_51_51 = e4 % 58.69/24.12 | % 58.69/24.12 | Equations (1101) can reduce 61 to: % 58.69/24.12 | (1890) ~ (all_0_42_42 = e4) % 58.69/24.12 | % 58.69/24.12 | Equations (1101) can reduce 16 to: % 58.69/24.12 | (476) ~ (all_0_56_56 = e4) % 58.69/24.12 | % 58.69/24.12 | Simplifying 476 yields: % 58.69/24.12 | (477) ~ (all_0_56_56 = e4) % 58.69/24.12 | % 58.69/24.12 | Equations (1101) can reduce 1099 to: % 58.69/24.12 | (48) ~ (e4 = e2) % 58.69/24.12 | % 58.69/24.12 | Equations (1101) can reduce 464 to: % 58.69/24.12 | (110) ~ (e4 = e1) % 58.69/24.12 | % 58.69/24.12 +-Applying beta-rule and splitting (168), into two cases. % 58.69/24.12 |-Branch one: % 58.69/24.12 | (415) all_0_50_50 = e3 % 58.69/24.12 | % 58.69/24.12 | Combining equations (415,601) yields a new equation: % 58.69/24.12 | (454) e3 = e1 % 58.69/24.12 | % 58.69/24.12 | Simplifying 454 yields: % 58.69/24.12 | (455) e3 = e1 % 58.69/24.12 | % 58.69/24.12 | Equations (455) can reduce 213 to: % 58.69/24.12 | (266) $false % 58.69/24.12 | % 58.69/24.12 |-The branch is then unsatisfiable % 58.69/24.12 |-Branch two: % 58.69/24.12 | (411) ~ (all_0_50_50 = e3) % 58.69/24.12 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (125), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (858) all_0_55_55 = e0 % 58.75/24.12 | % 58.75/24.12 | Combining equations (386,858) yields a new equation: % 58.75/24.12 | (391) e2 = e0 % 58.75/24.12 | % 58.75/24.12 | Simplifying 391 yields: % 58.75/24.12 | (330) e2 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (330) can reduce 128 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (803) ~ (all_0_55_55 = e0) % 58.75/24.12 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (180), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (516) all_0_42_42 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (516) can reduce 236 to: % 58.75/24.12 | (271) ~ (all_0_56_56 = e3) % 58.75/24.12 | % 58.75/24.12 | Simplifying 271 yields: % 58.75/24.12 | (272) ~ (all_0_56_56 = e3) % 58.75/24.12 | % 58.75/24.12 | Equations (516) can reduce 1890 to: % 58.75/24.12 | (277) ~ (e4 = e3) % 58.75/24.12 | % 58.75/24.12 | Simplifying 277 yields: % 58.75/24.12 | (188) ~ (e4 = e3) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (64), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (437) all_0_41_41 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (437) can reduce 440 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (440) ~ (all_0_41_41 = e4) % 58.75/24.12 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (12), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (442) all_0_57_57 = e2 % 58.75/24.12 | % 58.75/24.12 | Equations (442) can reduce 344 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (344) ~ (all_0_57_57 = e2) % 58.75/24.12 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (26), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (446) all_0_44_44 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (446) can reduce 1390 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (1390) ~ (all_0_44_44 = e4) % 58.75/24.12 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (165), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (794) all_0_41_41 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (794) can reduce 357 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (357) ~ (all_0_41_41 = e0) % 58.75/24.12 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (171), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (265) all_0_54_54 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (265,268) yields a new equation: % 58.75/24.12 | (424) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Simplifying 424 yields: % 58.75/24.12 | (425) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (425) can reduce 188 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (258) ~ (all_0_54_54 = e4) % 58.75/24.12 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (133), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (833) all_0_56_56 = e2 % 58.75/24.12 | % 58.75/24.12 | Equations (833) can reduce 511 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (511) ~ (all_0_56_56 = e2) % 58.75/24.12 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (445), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (871) all_0_57_57 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (871) can reduce 67 to: % 58.75/24.12 | (188) ~ (e4 = e3) % 58.75/24.12 | % 58.75/24.12 | Equations (871) can reduce 1670 to: % 58.75/24.12 | (110) ~ (e4 = e1) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1748), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (1414) all_0_44_44 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (1414) can reduce 1390 to: % 58.75/24.12 | (401) ~ (e4 = e0) % 58.75/24.12 | % 58.75/24.12 | Simplifying 401 yields: % 58.75/24.12 | (49) ~ (e4 = e0) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (441), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (1392) all_0_42_42 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (1392,516) yields a new equation: % 58.75/24.12 | (424) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Simplifying 424 yields: % 58.75/24.12 | (425) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (425) can reduce 188 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (1890) ~ (all_0_42_42 = e4) % 58.75/24.12 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1891), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (396) all_0_43_43 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (430,396) yields a new equation: % 58.75/24.12 | (630) e4 = e1 % 58.75/24.12 | % 58.75/24.12 | Equations (630) can reduce 110 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (399) ~ (all_0_43_43 = e4) % 58.75/24.12 | (446) all_0_44_44 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (1414,446) yields a new equation: % 58.75/24.12 | (397) e4 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (397) can reduce 49 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (360) ~ (all_0_44_44 = e0) % 58.75/24.12 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (418), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (660) all_0_51_51 = e3 % 58.75/24.12 | % 58.75/24.12 | Combining equations (660,1101) yields a new equation: % 58.75/24.12 | (425) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (425) can reduce 188 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (664) ~ (all_0_51_51 = e3) % 58.75/24.12 | (665) all_0_53_53 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (665) can reduce 247 to: % 58.75/24.12 | (80) ~ (e3 = e0) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (6761), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (559) all_0_42_42 = e0 % 58.75/24.12 | % 58.75/24.12 | Combining equations (559,516) yields a new equation: % 58.75/24.12 | (676) e3 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (676) can reduce 80 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (358) ~ (all_0_42_42 = e0) % 58.75/24.12 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (6766), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (356) all_0_43_43 = e0 % 58.75/24.12 | % 58.75/24.12 | Combining equations (430,356) yields a new equation: % 58.75/24.12 | (546) e1 = e0 % 58.75/24.12 | % 58.75/24.12 | Simplifying 546 yields: % 58.75/24.12 | (431) e1 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (431) can reduce 233 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (5470) ~ (all_0_43_43 = e0) % 58.75/24.12 | (1414) all_0_44_44 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (1414) can reduce 360 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (839) ~ (all_0_57_57 = e4) % 58.75/24.12 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (863), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (679) all_0_56_56 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (679) can reduce 477 to: % 58.75/24.12 | (401) ~ (e4 = e0) % 58.75/24.12 | % 58.75/24.12 | Simplifying 401 yields: % 58.75/24.12 | (49) ~ (e4 = e0) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (575), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (587) all_0_55_55 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (386,587) yields a new equation: % 58.75/24.12 | (323) e4 = e2 % 58.75/24.12 | % 58.75/24.12 | Equations (323) can reduce 48 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (763) ~ (all_0_55_55 = e4) % 58.75/24.12 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (764), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (842) all_0_56_56 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (842,679) yields a new equation: % 58.75/24.12 | (481) e4 = e0 % 58.75/24.12 | % 58.75/24.12 | Simplifying 481 yields: % 58.75/24.12 | (397) e4 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (397) can reduce 49 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (477) ~ (all_0_56_56 = e4) % 58.75/24.12 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (935), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (871) all_0_57_57 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (871) can reduce 839 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (839) ~ (all_0_57_57 = e4) % 58.75/24.12 | (910) all_0_58_58 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (910,918) yields a new equation: % 58.75/24.12 | (636) e4 = e1 % 58.75/24.12 | % 58.75/24.12 | Simplifying 636 yields: % 58.75/24.12 | (630) e4 = e1 % 58.75/24.12 | % 58.75/24.12 | Equations (630) can reduce 110 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (828) ~ (all_0_56_56 = e0) % 58.75/24.12 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (836), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (842) all_0_56_56 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (842) can reduce 477 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (477) ~ (all_0_56_56 = e4) % 58.75/24.12 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (845), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (679) all_0_56_56 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (679) can reduce 828 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (828) ~ (all_0_56_56 = e0) % 58.75/24.12 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (3172), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (1569) all_0_56_56 = e1 % 58.75/24.12 | % 58.75/24.12 | Equations (1569) can reduce 466 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (466) ~ (all_0_56_56 = e1) % 58.75/24.12 | (1097) all_0_56_56 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (1097) can reduce 272 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (405) ~ (all_0_42_42 = e3) % 58.75/24.12 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (171), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (265) all_0_54_54 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (268,265) yields a new equation: % 58.75/24.12 | (425) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (425) can reduce 188 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (258) ~ (all_0_54_54 = e4) % 58.75/24.12 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (268) can reduce 258 to: % 58.75/24.12 | (277) ~ (e4 = e3) % 58.75/24.12 | % 58.75/24.12 | Simplifying 277 yields: % 58.75/24.12 | (188) ~ (e4 = e3) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (418), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (660) all_0_51_51 = e3 % 58.75/24.12 | % 58.75/24.12 | Combining equations (1101,660) yields a new equation: % 58.75/24.12 | (424) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Simplifying 424 yields: % 58.75/24.12 | (425) e4 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (425) can reduce 188 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (664) ~ (all_0_51_51 = e3) % 58.75/24.12 | (665) all_0_53_53 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (665) can reduce 220 to: % 58.75/24.12 | (407) ~ (all_0_44_44 = e3) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1899), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (516) all_0_42_42 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (516) can reduce 405 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (405) ~ (all_0_42_42 = e3) % 58.75/24.12 | (532) all_0_44_44 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (532) can reduce 407 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (475) ~ (all_0_51_51 = e4) % 58.75/24.12 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1294), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (565) all_0_52_52 = e4 % 58.75/24.12 | % 58.75/24.12 | Combining equations (352,565) yields a new equation: % 58.75/24.12 | (323) e4 = e2 % 58.75/24.12 | % 58.75/24.12 | Equations (323) can reduce 48 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (780) ~ (all_0_52_52 = e4) % 58.75/24.12 | (1298) all_0_53_53 = e4 % 58.75/24.12 | % 58.75/24.12 | Equations (1298) can reduce 1453 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (759) ~ (all_0_50_50 = e1) % 58.75/24.12 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1168), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (1109) all_0_51_51 = e1 % 58.75/24.12 | % 58.75/24.12 | Equations (1109) can reduce 464 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (464) ~ (all_0_51_51 = e1) % 58.75/24.12 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1748), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (1414) all_0_44_44 = e0 % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (189), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (532) all_0_44_44 = e3 % 58.75/24.12 | % 58.75/24.12 | Combining equations (532,1414) yields a new equation: % 58.75/24.12 | (675) e3 = e0 % 58.75/24.12 | % 58.75/24.12 | Simplifying 675 yields: % 58.75/24.12 | (676) e3 = e0 % 58.75/24.12 | % 58.75/24.12 | Equations (676) can reduce 80 to: % 58.75/24.12 | (266) $false % 58.75/24.12 | % 58.75/24.12 |-The branch is then unsatisfiable % 58.75/24.12 |-Branch two: % 58.75/24.12 | (407) ~ (all_0_44_44 = e3) % 58.75/24.12 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (1414) can reduce 407 to: % 58.75/24.12 | (541) ~ (e3 = e0) % 58.75/24.12 | % 58.75/24.12 | Simplifying 541 yields: % 58.75/24.12 | (80) ~ (e3 = e0) % 58.75/24.12 | % 58.75/24.12 +-Applying beta-rule and splitting (1899), into two cases. % 58.75/24.12 |-Branch one: % 58.75/24.12 | (516) all_0_42_42 = e3 % 58.75/24.12 | % 58.75/24.12 | Equations (516) can reduce 61 to: % 58.75/24.12 | (1925) ~ (all_0_51_51 = e3) % 58.75/24.13 | % 58.75/24.13 | Simplifying 1925 yields: % 58.75/24.13 | (664) ~ (all_0_51_51 = e3) % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (168), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (415) all_0_50_50 = e3 % 58.75/24.13 | % 58.75/24.13 | Equations (415) can reduce 411 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (411) ~ (all_0_50_50 = e3) % 58.75/24.13 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (418), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (660) all_0_51_51 = e3 % 58.75/24.13 | % 58.75/24.13 | Equations (660) can reduce 664 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (664) ~ (all_0_51_51 = e3) % 58.75/24.13 | (665) all_0_53_53 = e3 % 58.75/24.13 | % 58.75/24.13 | Equations (665) can reduce 1459 to: % 58.75/24.13 | (213) ~ (e3 = e1) % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (1202), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (642) all_0_52_52 = e1 % 58.75/24.13 | % 58.75/24.13 | Combining equations (642,352) yields a new equation: % 58.75/24.13 | (617) e2 = e1 % 58.75/24.13 | % 58.75/24.13 | Equations (617) can reduce 122 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (646) ~ (all_0_52_52 = e1) % 58.75/24.13 | (1208) all_0_53_53 = e1 % 58.75/24.13 | % 58.75/24.13 | Combining equations (665,1208) yields a new equation: % 58.75/24.13 | (454) e3 = e1 % 58.75/24.13 | % 58.75/24.13 | Simplifying 454 yields: % 58.75/24.13 | (455) e3 = e1 % 58.75/24.13 | % 58.75/24.13 | Equations (455) can reduce 213 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (405) ~ (all_0_42_42 = e3) % 58.75/24.13 | (532) all_0_44_44 = e3 % 58.75/24.13 | % 58.75/24.13 | Combining equations (532,1414) yields a new equation: % 58.75/24.13 | (675) e3 = e0 % 58.75/24.13 | % 58.75/24.13 | Simplifying 675 yields: % 58.75/24.13 | (676) e3 = e0 % 58.75/24.13 | % 58.75/24.13 | Equations (676) can reduce 80 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (360) ~ (all_0_44_44 = e0) % 58.75/24.13 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (1760), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (978) all_0_49_49 = e0 % 58.75/24.13 | % 58.75/24.13 | Combining equations (583,978) yields a new equation: % 58.75/24.13 | (391) e2 = e0 % 58.75/24.13 | % 58.75/24.13 | Simplifying 391 yields: % 58.75/24.13 | (330) e2 = e0 % 58.75/24.13 | % 58.75/24.13 | Equations (330) can reduce 128 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (487) ~ (all_0_49_49 = e0) % 58.75/24.13 | (914) all_0_58_58 = e0 % 58.75/24.13 | % 58.75/24.13 | Combining equations (918,914) yields a new equation: % 58.75/24.13 | (546) e1 = e0 % 58.75/24.13 | % 58.75/24.13 | Simplifying 546 yields: % 58.75/24.13 | (431) e1 = e0 % 58.75/24.13 | % 58.75/24.13 | Equations (431) can reduce 233 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (409) ~ (all_0_46_46 = e3) % 58.75/24.13 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (1561), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (522) all_0_47_47 = e3 % 58.75/24.13 | % 58.75/24.13 | Combining equations (654,522) yields a new equation: % 58.75/24.13 | (455) e3 = e1 % 58.75/24.13 | % 58.75/24.13 | Equations (455) can reduce 213 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (1091) ~ (all_0_47_47 = e3) % 58.75/24.13 | (884) all_0_49_49 = e3 % 58.75/24.13 | % 58.75/24.13 | Combining equations (583,884) yields a new equation: % 58.75/24.13 | (662) e3 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (662) can reduce 212 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (1283) ~ (all_0_48_48 = e0) % 58.75/24.13 | (615) all_0_48_48 = e1 % 58.75/24.13 | % 58.75/24.13 | Equations (615) can reduce 619 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.75/24.13 | % 58.75/24.13 | Applying alpha-rule on (819) yields: % 58.75/24.13 | (674) all_0_47_47 = e0 % 58.75/24.13 | (624) all_0_58_58 = e2 % 58.75/24.13 | (340) ~ (all_0_49_49 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 908 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.75/24.13 | % 58.75/24.13 | Applying alpha-rule on (825) yields: % 58.75/24.13 | (674) all_0_47_47 = e0 % 58.75/24.13 | (624) all_0_58_58 = e2 % 58.75/24.13 | (828) ~ (all_0_56_56 = e0) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 908 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (340) ~ (all_0_49_49 = e2) % 58.75/24.13 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (614), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (607) all_0_53_53 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (607) can reduce 509 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (509) ~ (all_0_53_53 = e2) % 58.75/24.13 | (624) all_0_58_58 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 908 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (342) ~ (all_0_52_52 = e2) % 58.75/24.13 | (355) all_0_52_52 = e4 | all_0_52_52 = e1 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (134), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (335) all_0_48_48 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 17 to: % 58.75/24.13 | (96) ~ (all_0_43_43 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 30 to: % 58.75/24.13 | (300) ~ (all_0_46_46 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 114 to: % 58.75/24.13 | (338) ~ (all_0_47_47 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 185 to: % 58.75/24.13 | (339) ~ (all_0_49_49 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 339 yields: % 58.75/24.13 | (340) ~ (all_0_49_49 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 202 to: % 58.75/24.13 | (341) ~ (all_0_52_52 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 341 yields: % 58.75/24.13 | (342) ~ (all_0_52_52 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 239 to: % 58.75/24.13 | (343) ~ (all_0_57_57 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 343 yields: % 58.75/24.13 | (344) ~ (all_0_57_57 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (335) can reduce 254 to: % 58.75/24.13 | (327) ~ (e4 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 327 yields: % 58.75/24.13 | (48) ~ (e4 = e2) % 58.75/24.13 | % 58.75/24.13 | From (335) and (192) follows: % 58.75/24.13 | (347) op(e2, e1) = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (4), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (356) all_0_43_43 = e0 % 58.75/24.13 | % 58.75/24.13 | Equations (356) can reduce 31 to: % 58.75/24.13 | (357) ~ (all_0_41_41 = e0) % 58.75/24.13 | % 58.75/24.13 | Equations (356) can reduce 159 to: % 58.75/24.13 | (359) ~ (all_0_44_44 = e0) % 58.75/24.13 | % 58.75/24.13 | Simplifying 359 yields: % 58.75/24.13 | (360) ~ (all_0_44_44 = e0) % 58.75/24.13 | % 58.75/24.13 | Equations (356) can reduce 217 to: % 58.75/24.13 | (361) ~ (all_0_52_52 = e0) % 58.75/24.13 | % 58.75/24.13 | Simplifying 361 yields: % 58.75/24.13 | (72) ~ (all_0_52_52 = e0) % 58.75/24.13 | % 58.75/24.13 | Equations (356) can reduce 199 to: % 58.75/24.13 | (363) ~ (all_0_57_57 = e0) % 58.75/24.13 | % 58.75/24.13 | Simplifying 363 yields: % 58.75/24.13 | (364) ~ (all_0_57_57 = e0) % 58.75/24.13 | % 58.75/24.13 | Equations (356) can reduce 96 to: % 58.75/24.13 | (365) ~ (e2 = e0) % 58.75/24.13 | % 58.75/24.13 | Simplifying 365 yields: % 58.75/24.13 | (128) ~ (e2 = e0) % 58.75/24.13 | % 58.75/24.13 | From (356) and (37) follows: % 58.75/24.13 | (369) op(e3, e1) = e0 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (117), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (292) all_0_38_38 = e2 % 58.75/24.13 | % 58.75/24.13 | Combining equations (292,329) yields a new equation: % 58.75/24.13 | (391) e2 = e0 % 58.75/24.13 | % 58.75/24.13 | Simplifying 391 yields: % 58.75/24.13 | (330) e2 = e0 % 58.75/24.13 | % 58.75/24.13 | Equations (330) can reduce 128 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (9600) ~ (all_0_38_38 = e2) % 58.75/24.13 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (158), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (313) all_0_40_40 = e2 % 58.75/24.13 | % 58.75/24.13 | Combining equations (1378,313) yields a new equation: % 58.75/24.13 | (322) e4 = e2 % 58.75/24.13 | % 58.75/24.13 | Simplifying 322 yields: % 58.75/24.13 | (323) e4 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (323) can reduce 48 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (296) ~ (all_0_40_40 = e2) % 58.75/24.13 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (95), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (378) all_0_50_50 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (378) can reduce 221 to: % 58.75/24.13 | (85) ~ (all_0_41_41 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (378) can reduce 59 to: % 58.75/24.13 | (17668) ~ (all_0_51_51 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 17668 yields: % 58.75/24.13 | (1099) ~ (all_0_51_51 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (378) can reduce 101 to: % 58.75/24.13 | (341) ~ (all_0_52_52 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 341 yields: % 58.75/24.13 | (342) ~ (all_0_52_52 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (378) can reduce 190 to: % 58.75/24.13 | (508) ~ (all_0_53_53 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 508 yields: % 58.75/24.13 | (509) ~ (all_0_53_53 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (378) can reduce 121 to: % 58.75/24.13 | (128) ~ (e2 = e0) % 58.75/24.13 | % 58.75/24.13 | From (378) and (242) follows: % 58.75/24.13 | (26152) op(e1, e3) = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (377), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (583) all_0_49_49 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (583) can reduce 340 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (340) ~ (all_0_49_49 = e2) % 58.75/24.13 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (614), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (607) all_0_53_53 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (607) can reduce 509 to: % 58.75/24.13 | (266) $false % 58.75/24.13 | % 58.75/24.13 |-The branch is then unsatisfiable % 58.75/24.13 |-Branch two: % 58.75/24.13 | (509) ~ (all_0_53_53 = e2) % 58.75/24.13 | (624) all_0_58_58 = e2 % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 181 to: % 58.75/24.13 | (147) ~ (all_0_44_44 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 119 to: % 58.75/24.13 | (340) ~ (all_0_49_49 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 10 to: % 58.75/24.13 | (509) ~ (all_0_53_53 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 3 to: % 58.75/24.13 | (304) ~ (all_0_55_55 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 148 to: % 58.75/24.13 | (344) ~ (all_0_57_57 = e2) % 58.75/24.13 | % 58.75/24.13 | Equations (624) can reduce 276 to: % 58.75/24.13 | (626) ~ (e3 = e2) % 58.75/24.13 | % 58.75/24.13 | Simplifying 626 yields: % 58.75/24.13 | (212) ~ (e3 = e2) % 58.75/24.13 | % 58.75/24.13 | From (624) and (245) follows: % 58.75/24.13 | (628) op(e0, e0) = e2 % 58.75/24.13 | % 58.75/24.13 +-Applying beta-rule and splitting (125), into two cases. % 58.75/24.13 |-Branch one: % 58.75/24.13 | (858) all_0_55_55 = e0 % 58.75/24.13 | % 58.75/24.14 | Equations (858) can reduce 803 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (803) ~ (all_0_55_55 = e0) % 58.75/24.14 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (75), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (485) all_0_40_40 = e0 % 58.75/24.14 | % 58.75/24.14 | Combining equations (1378,485) yields a new equation: % 58.75/24.14 | (481) e4 = e0 % 58.75/24.14 | % 58.75/24.14 | Simplifying 481 yields: % 58.75/24.14 | (397) e4 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (397) can reduce 49 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (1401) ~ (all_0_40_40 = e0) % 58.75/24.14 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (1748), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (1414) all_0_44_44 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (1414) can reduce 360 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (360) ~ (all_0_44_44 = e0) % 58.75/24.14 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (1760), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (978) all_0_49_49 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (978) can reduce 208 to: % 58.75/24.14 | (831) ~ (all_0_46_46 = e0) % 58.75/24.14 | % 58.75/24.14 | Equations (978) can reduce 86 to: % 58.75/24.14 | (678) ~ (all_0_47_47 = e0) % 58.75/24.14 | % 58.75/24.14 | Equations (978) can reduce 65 to: % 58.75/24.14 | (488) ~ (all_0_53_53 = e0) % 58.75/24.14 | % 58.75/24.14 | Simplifying 488 yields: % 58.75/24.14 | (247) ~ (all_0_53_53 = e0) % 58.75/24.14 | % 58.75/24.14 | Equations (978) can reduce 340 to: % 58.75/24.14 | (365) ~ (e2 = e0) % 58.75/24.14 | % 58.75/24.14 | Simplifying 365 yields: % 58.75/24.14 | (128) ~ (e2 = e0) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (104), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (480) all_0_39_39 = e0 % 58.75/24.14 | % 58.75/24.14 | Combining equations (480,317) yields a new equation: % 58.75/24.14 | (330) e2 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (330) can reduce 128 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (484) ~ (all_0_39_39 = e0) % 58.75/24.14 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (317) can reduce 484 to: % 58.75/24.14 | (128) ~ (e2 = e0) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (863), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (679) all_0_56_56 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (679) can reduce 91 to: % 58.75/24.14 | (678) ~ (all_0_47_47 = e0) % 58.75/24.14 | % 58.75/24.14 | Equations (679) can reduce 16 to: % 58.75/24.14 | (115) ~ (all_0_51_51 = e0) % 58.75/24.14 | % 58.75/24.14 | Equations (679) can reduce 153 to: % 58.75/24.14 | (803) ~ (all_0_55_55 = e0) % 58.75/24.14 | % 58.75/24.14 | Equations (679) can reduce 140 to: % 58.75/24.14 | (363) ~ (all_0_57_57 = e0) % 58.75/24.14 | % 58.75/24.14 | Simplifying 363 yields: % 58.75/24.14 | (364) ~ (all_0_57_57 = e0) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (163), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (565) all_0_52_52 = e4 % 58.75/24.14 | % 58.75/24.14 | Equations (565) can reduce 20 to: % 58.75/24.14 | (475) ~ (all_0_51_51 = e4) % 58.75/24.14 | % 58.75/24.14 | Equations (565) can reduce 342 to: % 58.75/24.14 | (48) ~ (e4 = e2) % 58.75/24.14 | % 58.75/24.14 | From (565) and (124) follows: % 58.75/24.14 | (570) op(e1, e1) = e4 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (130), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (430) all_0_43_43 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (430,356) yields a new equation: % 58.75/24.14 | (546) e1 = e0 % 58.75/24.14 | % 58.75/24.14 | Simplifying 546 yields: % 58.75/24.14 | (431) e1 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (431) can reduce 233 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (433) ~ (all_0_43_43 = e1) % 58.75/24.14 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (434), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (615) all_0_48_48 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (335,615) yields a new equation: % 58.75/24.14 | (616) e2 = e1 % 58.75/24.14 | % 58.75/24.14 | Simplifying 616 yields: % 58.75/24.14 | (617) e2 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (617) can reduce 122 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (619) ~ (all_0_48_48 = e1) % 58.75/24.14 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (620), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (642) all_0_52_52 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (565,642) yields a new equation: % 58.75/24.14 | (636) e4 = e1 % 58.75/24.14 | % 58.75/24.14 | Simplifying 636 yields: % 58.75/24.14 | (630) e4 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (630) can reduce 110 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (646) ~ (all_0_52_52 = e1) % 58.75/24.14 | (647) all_0_57_57 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (647) can reduce 81 to: % 58.75/24.14 | (632) ~ (all_0_55_55 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (647) can reduce 67 to: % 58.75/24.14 | (467) ~ (e3 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 467 yields: % 58.75/24.14 | (213) ~ (e3 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (647) can reduce 344 to: % 58.75/24.14 | (604) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 604 yields: % 58.75/24.14 | (122) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (647) can reduce 364 to: % 58.75/24.14 | (233) ~ (e1 = e0) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (174), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (386) all_0_55_55 = e2 % 58.75/24.14 | % 58.75/24.14 | Equations (386) can reduce 304 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (304) ~ (all_0_55_55 = e2) % 58.75/24.14 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (164), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (471) all_0_39_39 = e4 % 58.75/24.14 | % 58.75/24.14 | Combining equations (471,317) yields a new equation: % 58.75/24.14 | (322) e4 = e2 % 58.75/24.14 | % 58.75/24.14 | Simplifying 322 yields: % 58.75/24.14 | (323) e4 = e2 % 58.75/24.14 | % 58.75/24.14 | Equations (323) can reduce 48 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (1377) ~ (all_0_39_39 = e4) % 58.75/24.14 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (2051), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (587) all_0_55_55 = e4 % 58.75/24.14 | % 58.75/24.14 | Equations (587) can reduce 58 to: % 58.75/24.14 | (250) ~ (all_0_46_46 = e4) % 58.75/24.14 | % 58.75/24.14 | Equations (587) can reduce 270 to: % 58.75/24.14 | (188) ~ (e4 = e3) % 58.75/24.14 | % 58.75/24.14 | Equations (587) can reduce 632 to: % 58.75/24.14 | (110) ~ (e4 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (587) can reduce 803 to: % 58.75/24.14 | (49) ~ (e4 = e0) % 58.75/24.14 | % 58.75/24.14 | From (587) and (74) follows: % 58.75/24.14 | (589) op(e0, e3) = e4 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (2115), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (1392) all_0_42_42 = e4 % 58.75/24.14 | % 58.75/24.14 | Equations (1392) can reduce 73 to: % 58.75/24.14 | (1903) ~ (all_0_44_44 = e4) % 58.75/24.14 | % 58.75/24.14 | Simplifying 1903 yields: % 58.75/24.14 | (1390) ~ (all_0_44_44 = e4) % 58.75/24.14 | % 58.75/24.14 | Equations (1392) can reduce 198 to: % 58.75/24.14 | (251) ~ (all_0_47_47 = e4) % 58.75/24.14 | % 58.75/24.14 | Simplifying 251 yields: % 58.75/24.14 | (252) ~ (all_0_47_47 = e4) % 58.75/24.14 | % 58.75/24.14 | Equations (1392) can reduce 61 to: % 58.75/24.14 | (474) ~ (all_0_51_51 = e4) % 58.75/24.14 | % 58.75/24.14 | Simplifying 474 yields: % 58.75/24.14 | (475) ~ (all_0_51_51 = e4) % 58.75/24.14 | % 58.75/24.14 | From (1392) and (210) follows: % 58.75/24.14 | (4074) op(e3, e2) = e4 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (113), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (403) all_0_41_41 = e3 % 58.75/24.14 | % 58.75/24.14 | Equations (403) can reduce 149 to: % 58.75/24.14 | (406) ~ (all_0_44_44 = e3) % 58.75/24.14 | % 58.75/24.14 | Simplifying 406 yields: % 58.75/24.14 | (407) ~ (all_0_44_44 = e3) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (103), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (453) all_0_41_41 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (453,403) yields a new equation: % 58.75/24.14 | (455) e3 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (455) can reduce 213 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (457) ~ (all_0_41_41 = e1) % 58.75/24.14 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (189), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (532) all_0_44_44 = e3 % 58.75/24.14 | % 58.75/24.14 | Equations (532) can reduce 407 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (407) ~ (all_0_44_44 = e3) % 58.75/24.14 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (26), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (446) all_0_44_44 = e4 % 58.75/24.14 | % 58.75/24.14 | Equations (446) can reduce 1390 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (1390) ~ (all_0_44_44 = e4) % 58.75/24.14 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (458), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (459) all_0_42_42 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (459,1392) yields a new equation: % 58.75/24.14 | (630) e4 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (630) can reduce 110 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (1380) ~ (all_0_42_42 = e1) % 58.75/24.14 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (1381), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (430) all_0_43_43 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (430,356) yields a new equation: % 58.75/24.14 | (546) e1 = e0 % 58.75/24.14 | % 58.75/24.14 | Simplifying 546 yields: % 58.75/24.14 | (431) e1 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (431) can reduce 233 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (433) ~ (all_0_43_43 = e1) % 58.75/24.14 | (635) all_0_44_44 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (635) can reduce 220 to: % 58.75/24.14 | (1458) ~ (all_0_53_53 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 1458 yields: % 58.75/24.14 | (1459) ~ (all_0_53_53 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (635) can reduce 1390 to: % 58.75/24.14 | (602) ~ (e4 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 602 yields: % 58.75/24.14 | (110) ~ (e4 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (635) can reduce 407 to: % 58.75/24.14 | (467) ~ (e3 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 467 yields: % 58.75/24.14 | (213) ~ (e3 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (635) can reduce 147 to: % 58.75/24.14 | (604) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 604 yields: % 58.75/24.14 | (122) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (160), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (601) all_0_50_50 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (378,601) yields a new equation: % 58.75/24.14 | (616) e2 = e1 % 58.75/24.14 | % 58.75/24.14 | Simplifying 616 yields: % 58.75/24.14 | (617) e2 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (617) can reduce 122 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (759) ~ (all_0_50_50 = e1) % 58.75/24.14 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (378) can reduce 759 to: % 58.75/24.14 | (122) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (18), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (453) all_0_41_41 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (453,403) yields a new equation: % 58.75/24.14 | (455) e3 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (455) can reduce 213 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (457) ~ (all_0_41_41 = e1) % 58.75/24.14 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (595), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (545) all_0_46_46 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (545) can reduce 250 to: % 58.75/24.14 | (602) ~ (e4 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 602 yields: % 58.75/24.14 | (110) ~ (e4 = e1) % 58.75/24.14 | % 58.75/24.14 | From (545) and (120) follows: % 58.75/24.14 | (2105) op(e2, e3) = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (1168), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (1109) all_0_51_51 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (1109) can reduce 1099 to: % 58.75/24.14 | (604) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 | Simplifying 604 yields: % 58.75/24.14 | (122) ~ (e2 = e1) % 58.75/24.14 | % 58.75/24.14 | Equations (1109) can reduce 115 to: % 58.75/24.14 | (233) ~ (e1 = e0) % 58.75/24.14 | % 58.75/24.14 | From (1109) and (186) follows: % 58.75/24.14 | (699) op(e1, e2) = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (56), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (696) unit = e2 % 58.75/24.14 | % 58.75/24.14 | From (696) and (24) follows: % 58.75/24.14 | (697) op(e2, e3) = e3 % 58.75/24.14 | % 58.75/24.14 | From (696) and (227) follows: % 58.75/24.14 | (4284) op(e4, e2) = e4 % 58.75/24.14 | % 58.75/24.14 | From (696) and (40) follows: % 58.75/24.14 | (4285) op(e3, e2) = e3 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.75/24.14 | (323) e4 = e2 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.75/24.14 | (425) e4 = e3 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 58.75/24.14 | (455) e3 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (323,425) yields a new equation: % 58.75/24.14 | (662) e3 = e2 % 58.75/24.14 | % 58.75/24.14 | Combining equations (455,662) yields a new equation: % 58.75/24.14 | (617) e2 = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (617) can reduce 122 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (707) ~ (unit = e2) % 58.75/24.14 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (708), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (709) unit = e4 % 58.75/24.14 | % 58.75/24.14 | From (709) and (211) follows: % 58.75/24.14 | (22527) op(e4, e1) = e1 % 58.75/24.14 | % 58.75/24.14 | From (709) and (42) follows: % 58.75/24.14 | (713) op(e0, e4) = e0 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.75/24.14 | (455) e3 = e1 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.75/24.14 | (676) e3 = e0 % 58.75/24.14 | % 58.75/24.14 | Combining equations (455,676) yields a new equation: % 58.75/24.14 | (546) e1 = e0 % 58.75/24.14 | % 58.75/24.14 | Simplifying 546 yields: % 58.75/24.14 | (431) e1 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (431) can reduce 233 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (724) ~ (unit = e4) % 58.75/24.14 | (725) unit = e3 | unit = e1 | unit = e0 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (725), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (726) unit = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (726) can reduce 707 to: % 58.75/24.14 | (365) ~ (e2 = e0) % 58.75/24.14 | % 58.75/24.14 | Simplifying 365 yields: % 58.75/24.14 | (128) ~ (e2 = e0) % 58.75/24.14 | % 58.75/24.14 | From (726) and (42) follows: % 58.75/24.14 | (728) op(e0, e0) = e0 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.75/24.14 | (330) e2 = e0 % 58.75/24.14 | % 58.75/24.14 | Equations (330) can reduce 128 to: % 58.75/24.14 | (266) $false % 58.75/24.14 | % 58.75/24.14 |-The branch is then unsatisfiable % 58.75/24.14 |-Branch two: % 58.75/24.14 | (734) ~ (unit = e0) % 58.75/24.14 | (735) unit = e3 | unit = e1 % 58.75/24.14 | % 58.75/24.14 +-Applying beta-rule and splitting (735), into two cases. % 58.75/24.14 |-Branch one: % 58.75/24.14 | (736) unit = e1 % 58.75/24.14 | % 58.75/24.14 | Equations (736) can reduce 734 to: % 58.75/24.14 | (233) ~ (e1 = e0) % 58.75/24.14 | % 58.75/24.14 | From (736) and (244) follows: % 58.75/24.14 | (738) op(e1, e4) = e4 % 58.75/24.14 | % 58.75/24.14 | From (736) and (24) follows: % 58.75/24.14 | (1934) op(e1, e3) = e3 % 58.75/24.14 | % 58.75/24.14 | From (736) and (15) follows: % 58.75/24.14 | (515) op(e1, e2) = e2 % 58.75/24.14 | % 58.75/24.14 | From (736) and (227) follows: % 58.75/24.14 | (739) op(e4, e1) = e4 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.75/24.14 | (425) e4 = e3 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.75/24.14 | (397) e4 = e0 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 58.75/24.14 | (662) e3 = e2 % 58.75/24.14 | % 58.75/24.14 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.75/24.14 | (617) e2 = e1 % 58.75/24.14 | % 58.75/24.14 | Combining equations (425,397) yields a new equation: % 58.75/24.14 | (675) e3 = e0 % 58.75/24.14 | % 58.75/24.15 | Simplifying 675 yields: % 58.75/24.15 | (676) e3 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (662,676) yields a new equation: % 58.75/24.15 | (391) e2 = e0 % 58.75/24.15 | % 58.75/24.15 | Simplifying 391 yields: % 58.75/24.15 | (330) e2 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (330,617) yields a new equation: % 58.75/24.15 | (431) e1 = e0 % 58.75/24.15 | % 58.75/24.15 | Equations (431) can reduce 233 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (748) ~ (unit = e1) % 58.75/24.15 | (749) unit = e3 % 58.75/24.15 | % 58.75/24.15 | From (749) and (15) follows: % 58.75/24.15 | (751) op(e3, e2) = e2 % 58.75/24.15 | % 58.75/24.15 | From (749) and (28) follows: % 58.75/24.15 | (2235) op(e1, e3) = e1 % 58.75/24.15 | % 58.75/24.15 | From (749) and (42) follows: % 58.75/24.15 | (752) op(e0, e3) = e0 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 58.75/24.15 | (323) e4 = e2 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 58.75/24.15 | (617) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.75/24.15 | (397) e4 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (397,323) yields a new equation: % 58.75/24.15 | (330) e2 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (330,617) yields a new equation: % 58.75/24.15 | (431) e1 = e0 % 58.75/24.15 | % 58.75/24.15 | Equations (431) can reduce 233 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (464) ~ (all_0_51_51 = e1) % 58.75/24.15 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (1202), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (642) all_0_52_52 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (565,642) yields a new equation: % 58.75/24.15 | (636) e4 = e1 % 58.75/24.15 | % 58.75/24.15 | Simplifying 636 yields: % 58.75/24.15 | (630) e4 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (630) can reduce 110 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (646) ~ (all_0_52_52 = e1) % 58.75/24.15 | (1208) all_0_53_53 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (1208) can reduce 1459 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (549) ~ (all_0_46_46 = e1) % 58.75/24.15 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (600), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (601) all_0_50_50 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (378,601) yields a new equation: % 58.75/24.15 | (616) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Simplifying 616 yields: % 58.75/24.15 | (617) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (617) can reduce 122 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (759) ~ (all_0_50_50 = e1) % 58.75/24.15 | (629) all_0_55_55 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (629,587) yields a new equation: % 58.75/24.15 | (630) e4 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (630) can reduce 110 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (1898) ~ (all_0_41_41 = e3) % 58.75/24.15 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (144), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (403) all_0_41_41 = e3 % 58.75/24.15 | % 58.75/24.15 | Equations (403) can reduce 1898 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (1898) ~ (all_0_41_41 = e3) % 58.75/24.15 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (1923), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (1557) all_0_46_46 = e3 % 58.75/24.15 | % 58.75/24.15 | Equations (1557) can reduce 19 to: % 58.75/24.15 | (2538) ~ (all_0_47_47 = e3) % 58.75/24.15 | % 58.75/24.15 | Simplifying 2538 yields: % 58.75/24.15 | (1091) ~ (all_0_47_47 = e3) % 58.75/24.15 | % 58.75/24.15 | Equations (1557) can reduce 250 to: % 58.75/24.15 | (277) ~ (e4 = e3) % 58.75/24.15 | % 58.75/24.15 | Simplifying 277 yields: % 58.75/24.15 | (188) ~ (e4 = e3) % 58.75/24.15 | % 58.75/24.15 | Equations (1557) can reduce 831 to: % 58.75/24.15 | (80) ~ (e3 = e0) % 58.75/24.15 | % 58.75/24.15 | From (1557) and (120) follows: % 58.75/24.15 | (697) op(e2, e3) = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (135), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (545) all_0_46_46 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (545,1557) yields a new equation: % 58.75/24.15 | (455) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (455) can reduce 213 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (549) ~ (all_0_46_46 = e1) % 58.75/24.15 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (18), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (453) all_0_41_41 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (453) can reduce 149 to: % 58.75/24.15 | (4057) ~ (all_0_44_44 = e1) % 58.75/24.15 | % 58.75/24.15 | Simplifying 4057 yields: % 58.75/24.15 | (639) ~ (all_0_44_44 = e1) % 58.75/24.15 | % 58.75/24.15 | Equations (453) can reduce 85 to: % 58.75/24.15 | (604) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 | Simplifying 604 yields: % 58.75/24.15 | (122) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 | Equations (453) can reduce 357 to: % 58.75/24.15 | (233) ~ (e1 = e0) % 58.75/24.15 | % 58.75/24.15 | From (453) and (219) follows: % 58.75/24.15 | (12512) op(e3, e3) = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (550), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (654) all_0_47_47 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (654) can reduce 1091 to: % 58.75/24.15 | (467) ~ (e3 = e1) % 58.75/24.15 | % 58.75/24.15 | Simplifying 467 yields: % 58.75/24.15 | (213) ~ (e3 = e1) % 58.75/24.15 | % 58.75/24.15 | Equations (654) can reduce 338 to: % 58.75/24.15 | (604) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 | Simplifying 604 yields: % 58.75/24.15 | (122) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 | Equations (654) can reduce 678 to: % 58.75/24.15 | (233) ~ (e1 = e0) % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (180), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (516) all_0_42_42 = e3 % 58.75/24.15 | % 58.75/24.15 | Combining equations (516,1392) yields a new equation: % 58.75/24.15 | (425) e4 = e3 % 58.75/24.15 | % 58.75/24.15 | Equations (425) can reduce 188 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (405) ~ (all_0_42_42 = e3) % 58.75/24.15 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (521), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (522) all_0_47_47 = e3 % 58.75/24.15 | % 58.75/24.15 | Combining equations (522,654) yields a new equation: % 58.75/24.15 | (454) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Simplifying 454 yields: % 58.75/24.15 | (455) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (455) can reduce 213 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (1091) ~ (all_0_47_47 = e3) % 58.75/24.15 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (1092), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (660) all_0_51_51 = e3 % 58.75/24.15 | % 58.75/24.15 | Equations (660) can reduce 475 to: % 58.75/24.15 | (277) ~ (e4 = e3) % 58.75/24.15 | % 58.75/24.15 | Simplifying 277 yields: % 58.75/24.15 | (188) ~ (e4 = e3) % 58.75/24.15 | % 58.75/24.15 | From (660) and (186) follows: % 58.75/24.15 | (1552) op(e1, e2) = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (1899), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (516) all_0_42_42 = e3 % 58.75/24.15 | % 58.75/24.15 | Combining equations (516,1392) yields a new equation: % 58.75/24.15 | (425) e4 = e3 % 58.75/24.15 | % 58.75/24.15 | Equations (425) can reduce 188 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (405) ~ (all_0_42_42 = e3) % 58.75/24.15 | (532) all_0_44_44 = e3 % 58.75/24.15 | % 58.75/24.15 | Equations (532) can reduce 639 to: % 58.75/24.15 | (213) ~ (e3 = e1) % 58.75/24.15 | % 58.75/24.15 | From (532) and (138) follows: % 58.75/24.15 | (1639) op(e3, e0) = e3 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (160), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (601) all_0_50_50 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (378,601) yields a new equation: % 58.75/24.15 | (616) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Simplifying 616 yields: % 58.75/24.15 | (617) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (617) can reduce 122 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (759) ~ (all_0_50_50 = e1) % 58.75/24.15 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (378) can reduce 759 to: % 58.75/24.15 | (122) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (112), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (635) all_0_44_44 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (635,532) yields a new equation: % 58.75/24.15 | (455) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (455) can reduce 213 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (639) ~ (all_0_44_44 = e1) % 58.75/24.15 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (196), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (607) all_0_53_53 = e2 % 58.75/24.15 | % 58.75/24.15 | Equations (607) can reduce 509 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (509) ~ (all_0_53_53 = e2) % 58.75/24.15 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (640), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (671) all_0_49_49 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (978,671) yields a new equation: % 58.75/24.15 | (431) e1 = e0 % 58.75/24.15 | % 58.75/24.15 | Equations (431) can reduce 233 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (1064) ~ (all_0_49_49 = e1) % 58.75/24.15 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (2141), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (1208) all_0_53_53 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (1208) can reduce 509 to: % 58.75/24.15 | (604) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 | Simplifying 604 yields: % 58.75/24.15 | (122) ~ (e2 = e1) % 58.75/24.15 | % 58.75/24.15 | Equations (1208) can reduce 247 to: % 58.75/24.15 | (233) ~ (e1 = e0) % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (56), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (696) unit = e2 % 58.75/24.15 | % 58.75/24.15 | From (696) and (227) follows: % 58.75/24.15 | (4284) op(e4, e2) = e4 % 58.75/24.15 | % 58.75/24.15 | From (696) and (40) follows: % 58.75/24.15 | (4285) op(e3, e2) = e3 % 58.75/24.15 | % 58.75/24.15 | From (696) and (28) follows: % 58.75/24.15 | (699) op(e1, e2) = e1 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.75/24.15 | (323) e4 = e2 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.75/24.15 | (425) e4 = e3 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.75/24.15 | (455) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (323,425) yields a new equation: % 58.75/24.15 | (662) e3 = e2 % 58.75/24.15 | % 58.75/24.15 | Combining equations (662,455) yields a new equation: % 58.75/24.15 | (616) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Simplifying 616 yields: % 58.75/24.15 | (617) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (617) can reduce 122 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (707) ~ (unit = e2) % 58.75/24.15 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (708), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (709) unit = e4 % 58.75/24.15 | % 58.75/24.15 | From (709) and (211) follows: % 58.75/24.15 | (22527) op(e4, e1) = e1 % 58.75/24.15 | % 58.75/24.15 | From (709) and (42) follows: % 58.75/24.15 | (713) op(e0, e4) = e0 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.75/24.15 | (455) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.75/24.15 | (676) e3 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (455,676) yields a new equation: % 58.75/24.15 | (546) e1 = e0 % 58.75/24.15 | % 58.75/24.15 | Simplifying 546 yields: % 58.75/24.15 | (431) e1 = e0 % 58.75/24.15 | % 58.75/24.15 | Equations (431) can reduce 233 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (724) ~ (unit = e4) % 58.75/24.15 | (725) unit = e3 | unit = e1 | unit = e0 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (725), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (726) unit = e0 % 58.75/24.15 | % 58.75/24.15 | Equations (726) can reduce 707 to: % 58.75/24.15 | (365) ~ (e2 = e0) % 58.75/24.15 | % 58.75/24.15 | Simplifying 365 yields: % 58.75/24.15 | (128) ~ (e2 = e0) % 58.75/24.15 | % 58.75/24.15 | From (726) and (42) follows: % 58.75/24.15 | (728) op(e0, e0) = e0 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.75/24.15 | (330) e2 = e0 % 58.75/24.15 | % 58.75/24.15 | Equations (330) can reduce 128 to: % 58.75/24.15 | (266) $false % 58.75/24.15 | % 58.75/24.15 |-The branch is then unsatisfiable % 58.75/24.15 |-Branch two: % 58.75/24.15 | (734) ~ (unit = e0) % 58.75/24.15 | (735) unit = e3 | unit = e1 % 58.75/24.15 | % 58.75/24.15 +-Applying beta-rule and splitting (735), into two cases. % 58.75/24.15 |-Branch one: % 58.75/24.15 | (736) unit = e1 % 58.75/24.15 | % 58.75/24.15 | Equations (736) can reduce 734 to: % 58.75/24.15 | (233) ~ (e1 = e0) % 58.75/24.15 | % 58.75/24.15 | From (736) and (244) follows: % 58.75/24.15 | (738) op(e1, e4) = e4 % 58.75/24.15 | % 58.75/24.15 | From (736) and (15) follows: % 58.75/24.15 | (515) op(e1, e2) = e2 % 58.75/24.15 | % 58.75/24.15 | From (736) and (227) follows: % 58.75/24.15 | (739) op(e4, e1) = e4 % 58.75/24.15 | % 58.75/24.15 | From (736) and (28) follows: % 58.75/24.15 | (740) op(e1, e1) = e1 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.75/24.15 | (425) e4 = e3 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.75/24.15 | (397) e4 = e0 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.75/24.15 | (662) e3 = e2 % 58.75/24.15 | % 58.75/24.15 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.75/24.15 | (630) e4 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (630,425) yields a new equation: % 58.75/24.15 | (455) e3 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (397,425) yields a new equation: % 58.75/24.15 | (676) e3 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (455,662) yields a new equation: % 58.75/24.15 | (617) e2 = e1 % 58.75/24.15 | % 58.75/24.15 | Combining equations (676,662) yields a new equation: % 58.75/24.15 | (330) e2 = e0 % 58.75/24.15 | % 58.75/24.15 | Combining equations (617,330) yields a new equation: % 58.75/24.15 | (546) e1 = e0 % 58.75/24.15 | % 58.75/24.15 | Simplifying 546 yields: % 58.75/24.15 | (431) e1 = e0 % 58.75/24.15 | % 58.75/24.16 | Equations (431) can reduce 233 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (748) ~ (unit = e1) % 58.75/24.16 | (749) unit = e3 % 58.75/24.16 | % 58.75/24.16 | From (749) and (209) follows: % 58.75/24.16 | (1667) op(e3, e0) = e0 % 58.75/24.16 | % 58.75/24.16 | From (749) and (40) follows: % 58.75/24.16 | (3715) op(e3, e3) = e3 % 58.75/24.16 | % 58.75/24.16 | From (749) and (32) follows: % 58.75/24.16 | (5793) op(e2, e3) = e2 % 58.75/24.16 | % 58.75/24.16 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 58.75/24.16 | (455) e3 = e1 % 58.75/24.16 | % 58.75/24.16 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.75/24.16 | (676) e3 = e0 % 58.75/24.16 | % 58.75/24.16 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.75/24.16 | (662) e3 = e2 % 58.75/24.16 | % 58.75/24.16 | Combining equations (455,662) yields a new equation: % 58.75/24.16 | (617) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (676,662) yields a new equation: % 58.75/24.16 | (330) e2 = e0 % 58.75/24.16 | % 58.75/24.16 | Combining equations (330,617) yields a new equation: % 58.75/24.16 | (431) e1 = e0 % 58.75/24.16 | % 58.75/24.16 | Equations (431) can reduce 233 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (1459) ~ (all_0_53_53 = e1) % 58.75/24.16 | (918) all_0_58_58 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (918,624) yields a new equation: % 58.75/24.16 | (617) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (617) can reduce 122 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (664) ~ (all_0_51_51 = e3) % 58.75/24.16 | (1097) all_0_56_56 = e3 % 58.75/24.16 | % 58.75/24.16 | Combining equations (679,1097) yields a new equation: % 58.75/24.16 | (676) e3 = e0 % 58.75/24.16 | % 58.75/24.16 | Equations (676) can reduce 80 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (462) ~ (all_0_47_47 = e1) % 58.75/24.16 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.75/24.16 | % 58.75/24.16 +-Applying beta-rule and splitting (659), into two cases. % 58.75/24.16 |-Branch one: % 58.75/24.16 | (615) all_0_48_48 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (335,615) yields a new equation: % 58.75/24.16 | (616) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Simplifying 616 yields: % 58.75/24.16 | (617) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (617) can reduce 122 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (619) ~ (all_0_48_48 = e1) % 58.75/24.16 | (671) all_0_49_49 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (978,671) yields a new equation: % 58.75/24.16 | (431) e1 = e0 % 58.75/24.16 | % 58.75/24.16 | Equations (431) can reduce 233 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (457) ~ (all_0_41_41 = e1) % 58.75/24.16 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.75/24.16 | % 58.75/24.16 +-Applying beta-rule and splitting (550), into two cases. % 58.75/24.16 |-Branch one: % 58.75/24.16 | (654) all_0_47_47 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (654) can reduce 252 to: % 58.75/24.16 | (602) ~ (e4 = e1) % 58.75/24.16 | % 58.75/24.16 | Simplifying 602 yields: % 58.75/24.16 | (110) ~ (e4 = e1) % 58.75/24.16 | % 58.75/24.16 | Equations (654) can reduce 1091 to: % 58.75/24.16 | (467) ~ (e3 = e1) % 58.75/24.16 | % 58.75/24.16 | Simplifying 467 yields: % 58.75/24.16 | (213) ~ (e3 = e1) % 58.75/24.16 | % 58.75/24.16 | Equations (654) can reduce 338 to: % 58.75/24.16 | (604) ~ (e2 = e1) % 58.75/24.16 | % 58.75/24.16 | Simplifying 604 yields: % 58.75/24.16 | (122) ~ (e2 = e1) % 58.75/24.16 | % 58.75/24.16 +-Applying beta-rule and splitting (595), into two cases. % 58.75/24.16 |-Branch one: % 58.75/24.16 | (545) all_0_46_46 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (545,1557) yields a new equation: % 58.75/24.16 | (455) e3 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (455) can reduce 213 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (549) ~ (all_0_46_46 = e1) % 58.75/24.16 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 58.75/24.16 | % 58.75/24.16 +-Applying beta-rule and splitting (600), into two cases. % 58.75/24.16 |-Branch one: % 58.75/24.16 | (601) all_0_50_50 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (378,601) yields a new equation: % 58.75/24.16 | (616) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Simplifying 616 yields: % 58.75/24.16 | (617) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (617) can reduce 122 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (759) ~ (all_0_50_50 = e1) % 58.75/24.16 | (629) all_0_55_55 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (629,587) yields a new equation: % 58.75/24.16 | (630) e4 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (630) can reduce 110 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (462) ~ (all_0_47_47 = e1) % 58.75/24.16 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.75/24.16 | % 58.75/24.16 +-Applying beta-rule and splitting (659), into two cases. % 58.75/24.16 |-Branch one: % 58.75/24.16 | (615) all_0_48_48 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (615,335) yields a new equation: % 58.75/24.16 | (617) e2 = e1 % 58.75/24.16 | % 58.75/24.16 | Equations (617) can reduce 122 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (619) ~ (all_0_48_48 = e1) % 58.75/24.16 | (671) all_0_49_49 = e1 % 58.75/24.16 | % 58.75/24.16 | Combining equations (978,671) yields a new equation: % 58.75/24.16 | (431) e1 = e0 % 58.75/24.16 | % 58.75/24.16 | Equations (431) can reduce 233 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (409) ~ (all_0_46_46 = e3) % 58.75/24.16 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 58.75/24.16 | % 58.75/24.16 +-Applying beta-rule and splitting (4042), into two cases. % 58.75/24.16 |-Branch one: % 58.75/24.16 | (415) all_0_50_50 = e3 % 58.75/24.16 | % 58.75/24.16 | Combining equations (378,415) yields a new equation: % 58.75/24.16 | (662) e3 = e2 % 58.75/24.16 | % 58.75/24.16 | Equations (662) can reduce 212 to: % 58.75/24.16 | (266) $false % 58.75/24.16 | % 58.75/24.16 |-The branch is then unsatisfiable % 58.75/24.16 |-Branch two: % 58.75/24.16 | (411) ~ (all_0_50_50 = e3) % 58.80/24.16 | (2336) all_0_55_55 = e3 % 58.80/24.16 | % 58.80/24.16 | Combining equations (2336,587) yields a new equation: % 58.80/24.16 | (425) e4 = e3 % 58.80/24.16 | % 58.80/24.16 | Equations (425) can reduce 188 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.16 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (2246), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (1790) all_0_47_47 = e4 % 58.80/24.16 | % 58.80/24.16 | Equations (1790) can reduce 252 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (252) ~ (all_0_47_47 = e4) % 58.80/24.16 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (6548), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (1101) all_0_51_51 = e4 % 58.80/24.16 | % 58.80/24.16 | Equations (1101) can reduce 475 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (475) ~ (all_0_51_51 = e4) % 58.80/24.16 | (842) all_0_56_56 = e4 % 58.80/24.16 | % 58.80/24.16 | Combining equations (679,842) yields a new equation: % 58.80/24.16 | (397) e4 = e0 % 58.80/24.16 | % 58.80/24.16 | Equations (397) can reduce 49 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (763) ~ (all_0_55_55 = e4) % 58.80/24.16 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (2055), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (858) all_0_55_55 = e0 % 58.80/24.16 | % 58.80/24.16 | Equations (858) can reduce 803 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (803) ~ (all_0_55_55 = e0) % 58.80/24.16 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (2315), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (629) all_0_55_55 = e1 % 58.80/24.16 | % 58.80/24.16 | Equations (629) can reduce 632 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (632) ~ (all_0_55_55 = e1) % 58.80/24.16 | (2336) all_0_55_55 = e3 % 58.80/24.16 | % 58.80/24.16 | Equations (2336) can reduce 270 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (780) ~ (all_0_52_52 = e4) % 58.80/24.16 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (781), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (789), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (790), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (791), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (792), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.80/24.16 | % 58.80/24.16 | Applying alpha-rule on (793) yields: % 58.80/24.16 | (794) all_0_41_41 = e0 % 58.80/24.16 | (795) all_0_58_58 = e3 % 58.80/24.16 | (407) ~ (all_0_44_44 = e3) % 58.80/24.16 | % 58.80/24.16 | Combining equations (624,795) yields a new equation: % 58.80/24.16 | (662) e3 = e2 % 58.80/24.16 | % 58.80/24.16 | Equations (662) can reduce 212 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.80/24.16 | % 58.80/24.16 | Applying alpha-rule on (800) yields: % 58.80/24.16 | (794) all_0_41_41 = e0 % 58.80/24.16 | (795) all_0_58_58 = e3 % 58.80/24.16 | (803) ~ (all_0_55_55 = e0) % 58.80/24.16 | % 58.80/24.16 | Combining equations (624,795) yields a new equation: % 58.80/24.16 | (662) e3 = e2 % 58.80/24.16 | % 58.80/24.16 | Equations (662) can reduce 212 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.80/24.16 | % 58.80/24.16 | Applying alpha-rule on (807) yields: % 58.80/24.16 | (654) all_0_47_47 = e1 % 58.80/24.16 | (352) all_0_52_52 = e2 % 58.80/24.16 | (810) ~ (all_0_48_48 = e2) % 58.80/24.16 | % 58.80/24.16 | Equations (352) can reduce 342 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.80/24.16 | % 58.80/24.16 | Applying alpha-rule on (813) yields: % 58.80/24.16 | (654) all_0_47_47 = e1 % 58.80/24.16 | (352) all_0_52_52 = e2 % 58.80/24.16 | (464) ~ (all_0_51_51 = e1) % 58.80/24.16 | % 58.80/24.16 | Equations (352) can reduce 342 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.80/24.16 | % 58.80/24.16 | Applying alpha-rule on (819) yields: % 58.80/24.16 | (674) all_0_47_47 = e0 % 58.80/24.16 | (624) all_0_58_58 = e2 % 58.80/24.16 | (340) ~ (all_0_49_49 = e2) % 58.80/24.16 | % 58.80/24.16 | Equations (674) can reduce 678 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.80/24.16 | % 58.80/24.16 | Applying alpha-rule on (825) yields: % 58.80/24.16 | (674) all_0_47_47 = e0 % 58.80/24.16 | (624) all_0_58_58 = e2 % 58.80/24.16 | (828) ~ (all_0_56_56 = e0) % 58.80/24.16 | % 58.80/24.16 | Equations (679) can reduce 828 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (828) ~ (all_0_56_56 = e0) % 58.80/24.16 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (163), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (565) all_0_52_52 = e4 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (130), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (430) all_0_43_43 = e1 % 58.80/24.16 | % 58.80/24.16 | Combining equations (430,356) yields a new equation: % 58.80/24.16 | (546) e1 = e0 % 58.80/24.16 | % 58.80/24.16 | Simplifying 546 yields: % 58.80/24.16 | (431) e1 = e0 % 58.80/24.16 | % 58.80/24.16 | Equations (431) can reduce 233 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (433) ~ (all_0_43_43 = e1) % 58.80/24.16 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (434), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (615) all_0_48_48 = e1 % 58.80/24.16 | % 58.80/24.16 | Combining equations (335,615) yields a new equation: % 58.80/24.16 | (616) e2 = e1 % 58.80/24.16 | % 58.80/24.16 | Simplifying 616 yields: % 58.80/24.16 | (617) e2 = e1 % 58.80/24.16 | % 58.80/24.16 | Equations (617) can reduce 122 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (619) ~ (all_0_48_48 = e1) % 58.80/24.16 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.80/24.16 | % 58.80/24.16 +-Applying beta-rule and splitting (620), into two cases. % 58.80/24.16 |-Branch one: % 58.80/24.16 | (642) all_0_52_52 = e1 % 58.80/24.16 | % 58.80/24.16 | Combining equations (642,565) yields a new equation: % 58.80/24.16 | (630) e4 = e1 % 58.80/24.16 | % 58.80/24.16 | Equations (630) can reduce 110 to: % 58.80/24.16 | (266) $false % 58.80/24.16 | % 58.80/24.16 |-The branch is then unsatisfiable % 58.80/24.16 |-Branch two: % 58.80/24.16 | (646) ~ (all_0_52_52 = e1) % 58.80/24.16 | (647) all_0_57_57 = e1 % 58.80/24.17 | % 58.80/24.17 | Equations (647) can reduce 364 to: % 58.80/24.17 | (233) ~ (e1 = e0) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (924), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (875) all_0_57_57 = e0 % 58.80/24.17 | % 58.80/24.17 | Combining equations (875,647) yields a new equation: % 58.80/24.17 | (431) e1 = e0 % 58.80/24.17 | % 58.80/24.17 | Equations (431) can reduce 233 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (364) ~ (all_0_57_57 = e0) % 58.80/24.17 | (914) all_0_58_58 = e0 % 58.80/24.17 | % 58.80/24.17 | Combining equations (624,914) yields a new equation: % 58.80/24.17 | (391) e2 = e0 % 58.80/24.17 | % 58.80/24.17 | Simplifying 391 yields: % 58.80/24.17 | (330) e2 = e0 % 58.80/24.17 | % 58.80/24.17 | Equations (330) can reduce 128 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (780) ~ (all_0_52_52 = e4) % 58.80/24.17 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (781), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (789), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (790), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (791), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (792), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.80/24.17 | % 58.80/24.17 | Applying alpha-rule on (793) yields: % 58.80/24.17 | (794) all_0_41_41 = e0 % 58.80/24.17 | (795) all_0_58_58 = e3 % 58.80/24.17 | (407) ~ (all_0_44_44 = e3) % 58.80/24.17 | % 58.80/24.17 | Combining equations (624,795) yields a new equation: % 58.80/24.17 | (662) e3 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (662) can reduce 212 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.80/24.17 | % 58.80/24.17 | Applying alpha-rule on (800) yields: % 58.80/24.17 | (794) all_0_41_41 = e0 % 58.80/24.17 | (795) all_0_58_58 = e3 % 58.80/24.17 | (803) ~ (all_0_55_55 = e0) % 58.80/24.17 | % 58.80/24.17 | Combining equations (624,795) yields a new equation: % 58.80/24.17 | (662) e3 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (662) can reduce 212 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.80/24.17 | % 58.80/24.17 | Applying alpha-rule on (807) yields: % 58.80/24.17 | (654) all_0_47_47 = e1 % 58.80/24.17 | (352) all_0_52_52 = e2 % 58.80/24.17 | (810) ~ (all_0_48_48 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (352) can reduce 342 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.80/24.17 | % 58.80/24.17 | Applying alpha-rule on (813) yields: % 58.80/24.17 | (654) all_0_47_47 = e1 % 58.80/24.17 | (352) all_0_52_52 = e2 % 58.80/24.17 | (464) ~ (all_0_51_51 = e1) % 58.80/24.17 | % 58.80/24.17 | Equations (352) can reduce 342 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.80/24.17 | % 58.80/24.17 | Applying alpha-rule on (819) yields: % 58.80/24.17 | (674) all_0_47_47 = e0 % 58.80/24.17 | (624) all_0_58_58 = e2 % 58.80/24.17 | (340) ~ (all_0_49_49 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (674) can reduce 678 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.80/24.17 | % 58.80/24.17 | Applying alpha-rule on (825) yields: % 58.80/24.17 | (674) all_0_47_47 = e0 % 58.80/24.17 | (624) all_0_58_58 = e2 % 58.80/24.17 | (828) ~ (all_0_56_56 = e0) % 58.80/24.17 | % 58.80/24.17 | Equations (674) can reduce 678 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (487) ~ (all_0_49_49 = e0) % 58.80/24.17 | (914) all_0_58_58 = e0 % 58.80/24.17 | % 58.80/24.17 | Combining equations (914,624) yields a new equation: % 58.80/24.17 | (330) e2 = e0 % 58.80/24.17 | % 58.80/24.17 | Equations (330) can reduce 128 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (302) ~ (all_0_50_50 = e2) % 58.80/24.17 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (24424), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (1794) all_0_46_46 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (1794) can reduce 300 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (300) ~ (all_0_46_46 = e2) % 58.80/24.17 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (381), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (504) all_0_51_51 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (504) can reduce 1099 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (1099) ~ (all_0_51_51 = e2) % 58.80/24.17 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (1152), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (352) all_0_52_52 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (352) can reduce 342 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (342) ~ (all_0_52_52 = e2) % 58.80/24.17 | (607) all_0_53_53 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (607) can reduce 220 to: % 58.80/24.17 | (147) ~ (all_0_44_44 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (607) can reduce 190 to: % 58.80/24.17 | (302) ~ (all_0_50_50 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (607) can reduce 6 to: % 58.80/24.17 | (1099) ~ (all_0_51_51 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (607) can reduce 46 to: % 58.80/24.17 | (342) ~ (all_0_52_52 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (607) can reduce 1453 to: % 58.80/24.17 | (327) ~ (e4 = e2) % 58.80/24.17 | % 58.80/24.17 | Simplifying 327 yields: % 58.80/24.17 | (48) ~ (e4 = e2) % 58.80/24.17 | % 58.80/24.17 | From (607) and (84) follows: % 58.80/24.17 | (2566) op(e1, e0) = e2 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (222), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (386) all_0_55_55 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (386) can reduce 191 to: % 58.80/24.17 | (85) ~ (all_0_41_41 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (386) can reduce 58 to: % 58.80/24.17 | (300) ~ (all_0_46_46 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (386) can reduce 93 to: % 58.80/24.17 | (302) ~ (all_0_50_50 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (386) can reduce 81 to: % 58.80/24.17 | (343) ~ (all_0_57_57 = e2) % 58.80/24.17 | % 58.80/24.17 | Simplifying 343 yields: % 58.80/24.17 | (344) ~ (all_0_57_57 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (386) can reduce 3 to: % 58.80/24.17 | (1186) ~ (all_0_58_58 = e2) % 58.80/24.17 | % 58.80/24.17 | Simplifying 1186 yields: % 58.80/24.17 | (908) ~ (all_0_58_58 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (386) can reduce 270 to: % 58.80/24.17 | (626) ~ (e3 = e2) % 58.80/24.17 | % 58.80/24.17 | Simplifying 626 yields: % 58.80/24.17 | (212) ~ (e3 = e2) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (163), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (565) all_0_52_52 = e4 % 58.80/24.17 | % 58.80/24.17 | Equations (565) can reduce 101 to: % 58.80/24.17 | (566) ~ (all_0_50_50 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (565) can reduce 20 to: % 58.80/24.17 | (475) ~ (all_0_51_51 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (565) can reduce 342 to: % 58.80/24.17 | (48) ~ (e4 = e2) % 58.80/24.17 | % 58.80/24.17 | Equations (565) can reduce 72 to: % 58.80/24.17 | (49) ~ (e4 = e0) % 58.80/24.17 | % 58.80/24.17 | From (565) and (124) follows: % 58.80/24.17 | (570) op(e1, e1) = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (130), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (430) all_0_43_43 = e1 % 58.80/24.17 | % 58.80/24.17 | Combining equations (430,356) yields a new equation: % 58.80/24.17 | (546) e1 = e0 % 58.80/24.17 | % 58.80/24.17 | Simplifying 546 yields: % 58.80/24.17 | (431) e1 = e0 % 58.80/24.17 | % 58.80/24.17 | Equations (431) can reduce 233 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (433) ~ (all_0_43_43 = e1) % 58.80/24.17 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (62), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (321) all_0_38_38 = e4 % 58.80/24.17 | % 58.80/24.17 | Combining equations (321,329) yields a new equation: % 58.80/24.17 | (481) e4 = e0 % 58.80/24.17 | % 58.80/24.17 | Simplifying 481 yields: % 58.80/24.17 | (397) e4 = e0 % 58.80/24.17 | % 58.80/24.17 | Equations (397) can reduce 49 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (325) ~ (all_0_38_38 = e4) % 58.80/24.17 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (582), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (437) all_0_41_41 = e4 % 58.80/24.17 | % 58.80/24.17 | Equations (437) can reduce 214 to: % 58.80/24.17 | (1901) ~ (all_0_42_42 = e4) % 58.80/24.17 | % 58.80/24.17 | Simplifying 1901 yields: % 58.80/24.17 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (437) can reduce 149 to: % 58.80/24.17 | (1903) ~ (all_0_44_44 = e4) % 58.80/24.17 | % 58.80/24.17 | Simplifying 1903 yields: % 58.80/24.17 | (1390) ~ (all_0_44_44 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (437) can reduce 221 to: % 58.80/24.17 | (1907) ~ (all_0_50_50 = e4) % 58.80/24.17 | % 58.80/24.17 | Simplifying 1907 yields: % 58.80/24.17 | (566) ~ (all_0_50_50 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (437) can reduce 85 to: % 58.80/24.17 | (48) ~ (e4 = e2) % 58.80/24.17 | % 58.80/24.17 | From (437) and (219) follows: % 58.80/24.17 | (1913) op(e3, e3) = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (164), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (471) all_0_39_39 = e4 % 58.80/24.17 | % 58.80/24.17 | Combining equations (471,317) yields a new equation: % 58.80/24.17 | (322) e4 = e2 % 58.80/24.17 | % 58.80/24.17 | Simplifying 322 yields: % 58.80/24.17 | (323) e4 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (323) can reduce 48 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (1377) ~ (all_0_39_39 = e4) % 58.80/24.17 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (2115), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (1392) all_0_42_42 = e4 % 58.80/24.17 | % 58.80/24.17 | Equations (1392) can reduce 1890 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.17 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (2246), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (1790) all_0_47_47 = e4 % 58.80/24.17 | % 58.80/24.17 | Equations (1790) can reduce 252 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (252) ~ (all_0_47_47 = e4) % 58.80/24.17 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (6548), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (1101) all_0_51_51 = e4 % 58.80/24.17 | % 58.80/24.17 | Equations (1101) can reduce 475 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (475) ~ (all_0_51_51 = e4) % 58.80/24.17 | (842) all_0_56_56 = e4 % 58.80/24.17 | % 58.80/24.17 | Equations (842) can reduce 236 to: % 58.80/24.17 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (842) can reduce 16 to: % 58.80/24.17 | (475) ~ (all_0_51_51 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (842) can reduce 140 to: % 58.80/24.17 | (838) ~ (all_0_57_57 = e4) % 58.80/24.17 | % 58.80/24.17 | Simplifying 838 yields: % 58.80/24.17 | (839) ~ (all_0_57_57 = e4) % 58.80/24.17 | % 58.80/24.17 | Equations (842) can reduce 44 to: % 58.80/24.17 | (450) ~ (all_0_58_58 = e4) % 58.80/24.17 | % 58.80/24.17 | Simplifying 450 yields: % 58.80/24.17 | (451) ~ (all_0_58_58 = e4) % 58.80/24.17 | % 58.80/24.17 | From (842) and (111) follows: % 58.80/24.17 | (2154) op(e0, e2) = e4 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (434), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (615) all_0_48_48 = e1 % 58.80/24.17 | % 58.80/24.17 | Combining equations (335,615) yields a new equation: % 58.80/24.17 | (616) e2 = e1 % 58.80/24.17 | % 58.80/24.17 | Simplifying 616 yields: % 58.80/24.17 | (617) e2 = e1 % 58.80/24.17 | % 58.80/24.17 | Equations (617) can reduce 122 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (619) ~ (all_0_48_48 = e1) % 58.80/24.17 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (620), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (642) all_0_52_52 = e1 % 58.80/24.17 | % 58.80/24.17 | Combining equations (565,642) yields a new equation: % 58.80/24.17 | (636) e4 = e1 % 58.80/24.17 | % 58.80/24.17 | Simplifying 636 yields: % 58.80/24.17 | (630) e4 = e1 % 58.80/24.17 | % 58.80/24.17 | Equations (630) can reduce 110 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (646) ~ (all_0_52_52 = e1) % 58.80/24.17 | (647) all_0_57_57 = e1 % 58.80/24.17 | % 58.80/24.17 | Equations (647) can reduce 148 to: % 58.80/24.17 | (879) ~ (all_0_58_58 = e1) % 58.80/24.17 | % 58.80/24.17 | Simplifying 879 yields: % 58.80/24.17 | (880) ~ (all_0_58_58 = e1) % 58.80/24.17 | % 58.80/24.17 | Equations (647) can reduce 839 to: % 58.80/24.17 | (602) ~ (e4 = e1) % 58.80/24.17 | % 58.80/24.17 | Simplifying 602 yields: % 58.80/24.17 | (110) ~ (e4 = e1) % 58.80/24.17 | % 58.80/24.17 | Equations (647) can reduce 67 to: % 58.80/24.17 | (467) ~ (e3 = e1) % 58.80/24.17 | % 58.80/24.17 | Simplifying 467 yields: % 58.80/24.17 | (213) ~ (e3 = e1) % 58.80/24.17 | % 58.80/24.17 | Equations (647) can reduce 344 to: % 58.80/24.17 | (604) ~ (e2 = e1) % 58.80/24.17 | % 58.80/24.17 | Simplifying 604 yields: % 58.80/24.17 | (122) ~ (e2 = e1) % 58.80/24.17 | % 58.80/24.17 +-Applying beta-rule and splitting (108), into two cases. % 58.80/24.17 |-Branch one: % 58.80/24.17 | (624) all_0_58_58 = e2 % 58.80/24.17 | % 58.80/24.17 | Equations (624) can reduce 908 to: % 58.80/24.17 | (266) $false % 58.80/24.17 | % 58.80/24.17 |-The branch is then unsatisfiable % 58.80/24.17 |-Branch two: % 58.80/24.17 | (908) ~ (all_0_58_58 = e2) % 58.80/24.18 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (909), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (910) all_0_58_58 = e4 % 58.80/24.18 | % 58.80/24.18 | Equations (910) can reduce 451 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (451) ~ (all_0_58_58 = e4) % 58.80/24.18 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (913), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (914) all_0_58_58 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (914) can reduce 181 to: % 58.80/24.18 | (360) ~ (all_0_44_44 = e0) % 58.80/24.18 | % 58.80/24.18 | Equations (914) can reduce 119 to: % 58.80/24.18 | (487) ~ (all_0_49_49 = e0) % 58.80/24.18 | % 58.80/24.18 | Equations (914) can reduce 908 to: % 58.80/24.18 | (365) ~ (e2 = e0) % 58.80/24.18 | % 58.80/24.18 | Simplifying 365 yields: % 58.80/24.18 | (128) ~ (e2 = e0) % 58.80/24.18 | % 58.80/24.18 | Equations (914) can reduce 880 to: % 58.80/24.18 | (435) ~ (e1 = e0) % 58.80/24.18 | % 58.80/24.18 | Simplifying 435 yields: % 58.80/24.18 | (233) ~ (e1 = e0) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (184), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (538) all_0_46_46 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (538) can reduce 831 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (831) ~ (all_0_46_46 = e0) % 58.80/24.18 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (832), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (674) all_0_47_47 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (674) can reduce 198 to: % 58.80/24.18 | (358) ~ (all_0_42_42 = e0) % 58.80/24.18 | % 58.80/24.18 | Equations (674) can reduce 19 to: % 58.80/24.18 | (831) ~ (all_0_46_46 = e0) % 58.80/24.18 | % 58.80/24.18 | Equations (674) can reduce 86 to: % 58.80/24.18 | (486) ~ (all_0_49_49 = e0) % 58.80/24.18 | % 58.80/24.18 | Simplifying 486 yields: % 58.80/24.18 | (487) ~ (all_0_49_49 = e0) % 58.80/24.18 | % 58.80/24.18 | Equations (674) can reduce 224 to: % 58.80/24.18 | (1404) ~ (all_0_51_51 = e0) % 58.80/24.18 | % 58.80/24.18 | Simplifying 1404 yields: % 58.80/24.18 | (115) ~ (all_0_51_51 = e0) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (168), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (415) all_0_50_50 = e3 % 58.80/24.18 | % 58.80/24.18 | Equations (415) can reduce 35 to: % 58.80/24.18 | (409) ~ (all_0_46_46 = e3) % 58.80/24.18 | % 58.80/24.18 | Equations (415) can reduce 566 to: % 58.80/24.18 | (277) ~ (e4 = e3) % 58.80/24.18 | % 58.80/24.18 | Simplifying 277 yields: % 58.80/24.18 | (188) ~ (e4 = e3) % 58.80/24.18 | % 58.80/24.18 | From (415) and (242) follows: % 58.80/24.18 | (1934) op(e1, e3) = e3 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (180), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (516) all_0_42_42 = e3 % 58.80/24.18 | % 58.80/24.18 | Equations (516) can reduce 1890 to: % 58.80/24.18 | (277) ~ (e4 = e3) % 58.80/24.18 | % 58.80/24.18 | Simplifying 277 yields: % 58.80/24.18 | (188) ~ (e4 = e3) % 58.80/24.18 | % 58.80/24.18 | Equations (516) can reduce 358 to: % 58.80/24.18 | (80) ~ (e3 = e0) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (103), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (453) all_0_41_41 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (453,437) yields a new equation: % 58.80/24.18 | (630) e4 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (630) can reduce 110 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (457) ~ (all_0_41_41 = e1) % 58.80/24.18 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (437) can reduce 457 to: % 58.80/24.18 | (110) ~ (e4 = e1) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (78), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (423) all_0_45_45 = e3 % 58.80/24.18 | % 58.80/24.18 | Combining equations (423,248) yields a new equation: % 58.80/24.18 | (425) e4 = e3 % 58.80/24.18 | % 58.80/24.18 | Equations (425) can reduce 188 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (427) ~ (all_0_45_45 = e3) % 58.80/24.18 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (131), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (459) all_0_42_42 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (459,516) yields a new equation: % 58.80/24.18 | (455) e3 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (455) can reduce 213 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.18 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (516) can reduce 1380 to: % 58.80/24.18 | (213) ~ (e3 = e1) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (123), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (1794) all_0_46_46 = e2 % 58.80/24.18 | % 58.80/24.18 | Equations (1794) can reduce 300 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (300) ~ (all_0_46_46 = e2) % 58.80/24.18 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (458), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (459) all_0_42_42 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (459,516) yields a new equation: % 58.80/24.18 | (455) e3 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (455) can reduce 213 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.18 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (428), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (1557) all_0_46_46 = e3 % 58.80/24.18 | % 58.80/24.18 | Equations (1557) can reduce 409 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (409) ~ (all_0_46_46 = e3) % 58.80/24.18 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (3259), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (654) all_0_47_47 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (654,674) yields a new equation: % 58.80/24.18 | (546) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Simplifying 546 yields: % 58.80/24.18 | (431) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (431) can reduce 233 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (462) ~ (all_0_47_47 = e1) % 58.80/24.18 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (3264), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (1109) all_0_51_51 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (1109) can reduce 115 to: % 58.80/24.18 | (233) ~ (e1 = e0) % 58.80/24.18 | % 58.80/24.18 | From (1109) and (186) follows: % 58.80/24.18 | (699) op(e1, e2) = e1 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (1381), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (430) all_0_43_43 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (430,356) yields a new equation: % 58.80/24.18 | (546) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Simplifying 546 yields: % 58.80/24.18 | (431) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (431) can reduce 233 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (433) ~ (all_0_43_43 = e1) % 58.80/24.18 | (635) all_0_44_44 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (635) can reduce 9 to: % 58.80/24.18 | (1419) ~ (all_0_49_49 = e1) % 58.80/24.18 | % 58.80/24.18 | Simplifying 1419 yields: % 58.80/24.18 | (1064) ~ (all_0_49_49 = e1) % 58.80/24.18 | % 58.80/24.18 | Equations (635) can reduce 147 to: % 58.80/24.18 | (604) ~ (e2 = e1) % 58.80/24.18 | % 58.80/24.18 | Simplifying 604 yields: % 58.80/24.18 | (122) ~ (e2 = e1) % 58.80/24.18 | % 58.80/24.18 | Equations (635) can reduce 360 to: % 58.80/24.18 | (233) ~ (e1 = e0) % 58.80/24.18 | % 58.80/24.18 | From (635) and (138) follows: % 58.80/24.18 | (1423) op(e3, e0) = e1 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (1561), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (522) all_0_47_47 = e3 % 58.80/24.18 | % 58.80/24.18 | Combining equations (522,674) yields a new equation: % 58.80/24.18 | (675) e3 = e0 % 58.80/24.18 | % 58.80/24.18 | Simplifying 675 yields: % 58.80/24.18 | (676) e3 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (676) can reduce 80 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (1091) ~ (all_0_47_47 = e3) % 58.80/24.18 | (884) all_0_49_49 = e3 % 58.80/24.18 | % 58.80/24.18 | Equations (884) can reduce 1064 to: % 58.80/24.18 | (213) ~ (e3 = e1) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (135), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (545) all_0_46_46 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (545) can reduce 300 to: % 58.80/24.18 | (604) ~ (e2 = e1) % 58.80/24.18 | % 58.80/24.18 | Simplifying 604 yields: % 58.80/24.18 | (122) ~ (e2 = e1) % 58.80/24.18 | % 58.80/24.18 | Equations (545) can reduce 831 to: % 58.80/24.18 | (233) ~ (e1 = e0) % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (56), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (696) unit = e2 % 58.80/24.18 | % 58.80/24.18 | From (696) and (211) follows: % 58.80/24.18 | (1612) op(e2, e1) = e1 % 58.80/24.18 | % 58.80/24.18 | From (696) and (227) follows: % 58.80/24.18 | (4284) op(e4, e2) = e4 % 58.80/24.18 | % 58.80/24.18 | From (696) and (42) follows: % 58.80/24.18 | (1613) op(e0, e2) = e0 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.80/24.18 | (323) e4 = e2 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.80/24.18 | (617) e2 = e1 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.80/24.18 | (397) e4 = e0 % 58.80/24.18 | % 58.80/24.18 | Combining equations (323,397) yields a new equation: % 58.80/24.18 | (391) e2 = e0 % 58.80/24.18 | % 58.80/24.18 | Simplifying 391 yields: % 58.80/24.18 | (330) e2 = e0 % 58.80/24.18 | % 58.80/24.18 | Combining equations (617,330) yields a new equation: % 58.80/24.18 | (546) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Simplifying 546 yields: % 58.80/24.18 | (431) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (431) can reduce 233 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (707) ~ (unit = e2) % 58.80/24.18 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (708), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (709) unit = e4 % 58.80/24.18 | % 58.80/24.18 | From (709) and (211) follows: % 58.80/24.18 | (22527) op(e4, e1) = e1 % 58.80/24.18 | % 58.80/24.18 | From (709) and (42) follows: % 58.80/24.18 | (713) op(e0, e4) = e0 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.80/24.18 | (455) e3 = e1 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.80/24.18 | (676) e3 = e0 % 58.80/24.18 | % 58.80/24.18 | Combining equations (455,676) yields a new equation: % 58.80/24.18 | (546) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Simplifying 546 yields: % 58.80/24.18 | (431) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (431) can reduce 233 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (724) ~ (unit = e4) % 58.80/24.18 | (725) unit = e3 | unit = e1 | unit = e0 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (725), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (726) unit = e0 % 58.80/24.18 | % 58.80/24.18 | From (726) and (244) follows: % 58.80/24.18 | (2207) op(e0, e4) = e4 % 58.80/24.18 | % 58.80/24.18 | From (726) and (15) follows: % 58.80/24.18 | (1508) op(e0, e2) = e2 % 58.80/24.18 | % 58.80/24.18 | From (726) and (40) follows: % 58.80/24.18 | (1639) op(e3, e0) = e3 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e3, e0, e3, e1 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e1, yields: % 58.80/24.18 | (455) e3 = e1 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.80/24.18 | (425) e4 = e3 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.80/24.18 | (323) e4 = e2 % 58.80/24.18 | % 58.80/24.18 | Combining equations (425,323) yields a new equation: % 58.80/24.18 | (661) e3 = e2 % 58.80/24.18 | % 58.80/24.18 | Simplifying 661 yields: % 58.80/24.18 | (662) e3 = e2 % 58.80/24.18 | % 58.80/24.18 | Combining equations (455,662) yields a new equation: % 58.80/24.18 | (617) e2 = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (617) can reduce 122 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (734) ~ (unit = e0) % 58.80/24.18 | (735) unit = e3 | unit = e1 % 58.80/24.18 | % 58.80/24.18 +-Applying beta-rule and splitting (735), into two cases. % 58.80/24.18 |-Branch one: % 58.80/24.18 | (736) unit = e1 % 58.80/24.18 | % 58.80/24.18 | Equations (736) can reduce 734 to: % 58.80/24.18 | (233) ~ (e1 = e0) % 58.80/24.18 | % 58.80/24.18 | From (736) and (15) follows: % 58.80/24.18 | (515) op(e1, e2) = e2 % 58.80/24.18 | % 58.80/24.18 | From (736) and (209) follows: % 58.80/24.18 | (2715) op(e1, e0) = e0 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.80/24.18 | (617) e2 = e1 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 58.80/24.18 | (330) e2 = e0 % 58.80/24.18 | % 58.80/24.18 | Combining equations (330,617) yields a new equation: % 58.80/24.18 | (431) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (431) can reduce 233 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.18 |-Branch two: % 58.80/24.18 | (748) ~ (unit = e1) % 58.80/24.18 | (749) unit = e3 % 58.80/24.18 | % 58.80/24.18 | From (749) and (244) follows: % 58.80/24.18 | (750) op(e3, e4) = e4 % 58.80/24.18 | % 58.80/24.18 | From (749) and (227) follows: % 58.80/24.18 | (22570) op(e4, e3) = e4 % 58.80/24.18 | % 58.80/24.18 | From (749) and (40) follows: % 58.80/24.18 | (3715) op(e3, e3) = e3 % 58.80/24.18 | % 58.80/24.18 | From (749) and (28) follows: % 58.80/24.18 | (2235) op(e1, e3) = e1 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.80/24.18 | (397) e4 = e0 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.80/24.18 | (323) e4 = e2 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.80/24.18 | (425) e4 = e3 % 58.80/24.18 | % 58.80/24.18 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.80/24.18 | (455) e3 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (323,425) yields a new equation: % 58.80/24.18 | (662) e3 = e2 % 58.80/24.18 | % 58.80/24.18 | Combining equations (397,425) yields a new equation: % 58.80/24.18 | (676) e3 = e0 % 58.80/24.18 | % 58.80/24.18 | Combining equations (676,662) yields a new equation: % 58.80/24.18 | (330) e2 = e0 % 58.80/24.18 | % 58.80/24.18 | Combining equations (455,662) yields a new equation: % 58.80/24.18 | (617) e2 = e1 % 58.80/24.18 | % 58.80/24.18 | Combining equations (330,617) yields a new equation: % 58.80/24.18 | (431) e1 = e0 % 58.80/24.18 | % 58.80/24.18 | Equations (431) can reduce 233 to: % 58.80/24.18 | (266) $false % 58.80/24.18 | % 58.80/24.18 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (549) ~ (all_0_46_46 = e1) % 58.80/24.19 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (550), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (654) all_0_47_47 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (674,654) yields a new equation: % 58.80/24.19 | (431) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Equations (431) can reduce 233 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (462) ~ (all_0_47_47 = e1) % 58.80/24.19 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (659), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (615) all_0_48_48 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (335,615) yields a new equation: % 58.80/24.19 | (616) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Simplifying 616 yields: % 58.80/24.19 | (617) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (617) can reduce 122 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (619) ~ (all_0_48_48 = e1) % 58.80/24.19 | (671) all_0_49_49 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (884,671) yields a new equation: % 58.80/24.19 | (454) e3 = e1 % 58.80/24.19 | % 58.80/24.19 | Simplifying 454 yields: % 58.80/24.19 | (455) e3 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (455) can reduce 213 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (464) ~ (all_0_51_51 = e1) % 58.80/24.19 | (1569) all_0_56_56 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (1569,842) yields a new equation: % 58.80/24.19 | (630) e4 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (630) can reduce 110 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (405) ~ (all_0_42_42 = e3) % 58.80/24.19 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (113), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (403) all_0_41_41 = e3 % 58.80/24.19 | % 58.80/24.19 | Combining equations (403,437) yields a new equation: % 58.80/24.19 | (425) e4 = e3 % 58.80/24.19 | % 58.80/24.19 | Equations (425) can reduce 188 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (1898) ~ (all_0_41_41 = e3) % 58.80/24.19 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (152), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (1392) all_0_42_42 = e4 % 58.80/24.19 | % 58.80/24.19 | Equations (1392) can reduce 1890 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.19 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (160), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (601) all_0_50_50 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (415,601) yields a new equation: % 58.80/24.19 | (454) e3 = e1 % 58.80/24.19 | % 58.80/24.19 | Simplifying 454 yields: % 58.80/24.19 | (455) e3 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (455) can reduce 213 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (759) ~ (all_0_50_50 = e1) % 58.80/24.19 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (18), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (453) all_0_41_41 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (453,437) yields a new equation: % 58.80/24.19 | (630) e4 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (630) can reduce 110 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (457) ~ (all_0_41_41 = e1) % 58.80/24.19 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (437) can reduce 457 to: % 58.80/24.19 | (110) ~ (e4 = e1) % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (1168), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (1109) all_0_51_51 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (1109) can reduce 61 to: % 58.80/24.19 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (1109) can reduce 475 to: % 58.80/24.19 | (602) ~ (e4 = e1) % 58.80/24.19 | % 58.80/24.19 | Simplifying 602 yields: % 58.80/24.19 | (110) ~ (e4 = e1) % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (1899), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (516) all_0_42_42 = e3 % 58.80/24.19 | % 58.80/24.19 | Equations (516) can reduce 405 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (405) ~ (all_0_42_42 = e3) % 58.80/24.19 | (532) all_0_44_44 = e3 % 58.80/24.19 | % 58.80/24.19 | Equations (532) can reduce 73 to: % 58.80/24.19 | (405) ~ (all_0_42_42 = e3) % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (103), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (453) all_0_41_41 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (453,437) yields a new equation: % 58.80/24.19 | (630) e4 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (630) can reduce 110 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (457) ~ (all_0_41_41 = e1) % 58.80/24.19 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (458), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (459) all_0_42_42 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (459) can reduce 1380 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.19 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (1969), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (559) all_0_42_42 = e0 % 58.80/24.19 | % 58.80/24.19 | Equations (559) can reduce 358 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (358) ~ (all_0_42_42 = e0) % 58.80/24.19 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (2510), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (459) all_0_42_42 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (459) can reduce 1380 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.19 | (516) all_0_42_42 = e3 % 58.80/24.19 | % 58.80/24.19 | Equations (516) can reduce 405 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (464) ~ (all_0_51_51 = e1) % 58.80/24.19 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (1202), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (642) all_0_52_52 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (565,642) yields a new equation: % 58.80/24.19 | (636) e4 = e1 % 58.80/24.19 | % 58.80/24.19 | Simplifying 636 yields: % 58.80/24.19 | (630) e4 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (630) can reduce 110 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (646) ~ (all_0_52_52 = e1) % 58.80/24.19 | (1208) all_0_53_53 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (607,1208) yields a new equation: % 58.80/24.19 | (616) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Simplifying 616 yields: % 58.80/24.19 | (617) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (617) can reduce 122 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (411) ~ (all_0_50_50 = e3) % 58.80/24.19 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (241), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (378) all_0_50_50 = e2 % 58.80/24.19 | % 58.80/24.19 | Equations (378) can reduce 302 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (302) ~ (all_0_50_50 = e2) % 58.80/24.19 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (422), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (775) all_0_50_50 = e4 % 58.80/24.19 | % 58.80/24.19 | Equations (775) can reduce 566 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (566) ~ (all_0_50_50 = e4) % 58.80/24.19 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (1444), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (601) all_0_50_50 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (601) can reduce 35 to: % 58.80/24.19 | (549) ~ (all_0_46_46 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (601) can reduce 59 to: % 58.80/24.19 | (463) ~ (all_0_51_51 = e1) % 58.80/24.19 | % 58.80/24.19 | Simplifying 463 yields: % 58.80/24.19 | (464) ~ (all_0_51_51 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (601) can reduce 302 to: % 58.80/24.19 | (604) ~ (e2 = e1) % 58.80/24.19 | % 58.80/24.19 | Simplifying 604 yields: % 58.80/24.19 | (122) ~ (e2 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (601) can reduce 121 to: % 58.80/24.19 | (233) ~ (e1 = e0) % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (135), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (545) all_0_46_46 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (545) can reduce 549 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (549) ~ (all_0_46_46 = e1) % 58.80/24.19 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (550), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (654) all_0_47_47 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (654,674) yields a new equation: % 58.80/24.19 | (546) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Simplifying 546 yields: % 58.80/24.19 | (431) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Equations (431) can reduce 233 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (462) ~ (all_0_47_47 = e1) % 58.80/24.19 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (659), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (615) all_0_48_48 = e1 % 58.80/24.19 | % 58.80/24.19 | Combining equations (615,335) yields a new equation: % 58.80/24.19 | (617) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (617) can reduce 122 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (619) ~ (all_0_48_48 = e1) % 58.80/24.19 | (671) all_0_49_49 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (671) can reduce 9 to: % 58.80/24.19 | (639) ~ (all_0_44_44 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (671) can reduce 208 to: % 58.80/24.19 | (549) ~ (all_0_46_46 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (671) can reduce 256 to: % 58.80/24.19 | (602) ~ (e4 = e1) % 58.80/24.19 | % 58.80/24.19 | Simplifying 602 yields: % 58.80/24.19 | (110) ~ (e4 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (671) can reduce 487 to: % 58.80/24.19 | (233) ~ (e1 = e0) % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (26), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (446) all_0_44_44 = e4 % 58.80/24.19 | % 58.80/24.19 | Equations (446) can reduce 1390 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (1390) ~ (all_0_44_44 = e4) % 58.80/24.19 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (131), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (459) all_0_42_42 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (459) can reduce 61 to: % 58.80/24.19 | (463) ~ (all_0_51_51 = e1) % 58.80/24.19 | % 58.80/24.19 | Simplifying 463 yields: % 58.80/24.19 | (464) ~ (all_0_51_51 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (459) can reduce 51 to: % 58.80/24.19 | (604) ~ (e2 = e1) % 58.80/24.19 | % 58.80/24.19 | Simplifying 604 yields: % 58.80/24.19 | (122) ~ (e2 = e1) % 58.80/24.19 | % 58.80/24.19 | Equations (459) can reduce 358 to: % 58.80/24.19 | (233) ~ (e1 = e0) % 58.80/24.19 | % 58.80/24.19 | From (459) and (210) follows: % 58.80/24.19 | (470) op(e3, e2) = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (7), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (504) all_0_51_51 = e2 % 58.80/24.19 | % 58.80/24.19 | Equations (504) can reduce 1099 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (1099) ~ (all_0_51_51 = e2) % 58.80/24.19 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (189), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (532) all_0_44_44 = e3 % 58.80/24.19 | % 58.80/24.19 | Equations (532) can reduce 147 to: % 58.80/24.19 | (212) ~ (e3 = e2) % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (418), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (660) all_0_51_51 = e3 % 58.80/24.19 | % 58.80/24.19 | From (660) and (186) follows: % 58.80/24.19 | (1552) op(e1, e2) = e3 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (56), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (696) unit = e2 % 58.80/24.19 | % 58.80/24.19 | From (696) and (211) follows: % 58.80/24.19 | (1612) op(e2, e1) = e1 % 58.80/24.19 | % 58.80/24.19 | From (696) and (227) follows: % 58.80/24.19 | (4284) op(e4, e2) = e4 % 58.80/24.19 | % 58.80/24.19 | From (696) and (42) follows: % 58.80/24.19 | (1613) op(e0, e2) = e0 % 58.80/24.19 | % 58.80/24.19 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.80/24.19 | (323) e4 = e2 % 58.80/24.19 | % 58.80/24.19 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.80/24.19 | (617) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.80/24.19 | (397) e4 = e0 % 58.80/24.19 | % 58.80/24.19 | Combining equations (323,397) yields a new equation: % 58.80/24.19 | (391) e2 = e0 % 58.80/24.19 | % 58.80/24.19 | Simplifying 391 yields: % 58.80/24.19 | (330) e2 = e0 % 58.80/24.19 | % 58.80/24.19 | Combining equations (617,330) yields a new equation: % 58.80/24.19 | (546) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Simplifying 546 yields: % 58.80/24.19 | (431) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Equations (431) can reduce 233 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (707) ~ (unit = e2) % 58.80/24.19 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (708), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (709) unit = e4 % 58.80/24.19 | % 58.80/24.19 | From (709) and (211) follows: % 58.80/24.19 | (22527) op(e4, e1) = e1 % 58.80/24.19 | % 58.80/24.19 | From (709) and (42) follows: % 58.80/24.19 | (713) op(e0, e4) = e0 % 58.80/24.19 | % 58.80/24.19 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.80/24.19 | (455) e3 = e1 % 58.80/24.19 | % 58.80/24.19 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.80/24.19 | (676) e3 = e0 % 58.80/24.19 | % 58.80/24.19 | Combining equations (455,676) yields a new equation: % 58.80/24.19 | (546) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Simplifying 546 yields: % 58.80/24.19 | (431) e1 = e0 % 58.80/24.19 | % 58.80/24.19 | Equations (431) can reduce 233 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (724) ~ (unit = e4) % 58.80/24.19 | (725) unit = e3 | unit = e1 | unit = e0 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (725), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (726) unit = e0 % 58.80/24.19 | % 58.80/24.19 | From (726) and (28) follows: % 58.80/24.19 | (2698) op(e1, e0) = e1 % 58.80/24.19 | % 58.80/24.19 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 58.80/24.19 | (617) e2 = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (617) can reduce 122 to: % 58.80/24.19 | (266) $false % 58.80/24.19 | % 58.80/24.19 |-The branch is then unsatisfiable % 58.80/24.19 |-Branch two: % 58.80/24.19 | (734) ~ (unit = e0) % 58.80/24.19 | (735) unit = e3 | unit = e1 % 58.80/24.19 | % 58.80/24.19 +-Applying beta-rule and splitting (735), into two cases. % 58.80/24.19 |-Branch one: % 58.80/24.19 | (736) unit = e1 % 58.80/24.19 | % 58.80/24.19 | Equations (736) can reduce 734 to: % 58.80/24.19 | (233) ~ (e1 = e0) % 58.80/24.19 | % 58.80/24.19 | From (736) and (15) follows: % 58.80/24.19 | (515) op(e1, e2) = e2 % 58.80/24.19 | % 58.80/24.19 | From (736) and (227) follows: % 58.80/24.19 | (739) op(e4, e1) = e4 % 58.80/24.19 | % 58.80/24.19 | From (736) and (40) follows: % 58.80/24.19 | (1652) op(e3, e1) = e3 % 58.80/24.19 | % 58.80/24.19 | From (736) and (28) follows: % 58.80/24.19 | (740) op(e1, e1) = e1 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.80/24.20 | (425) e4 = e3 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 58.80/24.20 | (676) e3 = e0 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.80/24.20 | (630) e4 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (425,630) yields a new equation: % 58.80/24.20 | (454) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Simplifying 454 yields: % 58.80/24.20 | (455) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (455,662) yields a new equation: % 58.80/24.20 | (617) e2 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (676,662) yields a new equation: % 58.80/24.20 | (330) e2 = e0 % 58.80/24.20 | % 58.80/24.20 | Combining equations (617,330) yields a new equation: % 58.80/24.20 | (546) e1 = e0 % 58.80/24.20 | % 58.80/24.20 | Simplifying 546 yields: % 58.80/24.20 | (431) e1 = e0 % 58.80/24.20 | % 58.80/24.20 | Equations (431) can reduce 233 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (748) ~ (unit = e1) % 58.80/24.20 | (749) unit = e3 % 58.80/24.20 | % 58.80/24.20 | From (749) and (244) follows: % 58.80/24.20 | (750) op(e3, e4) = e4 % 58.80/24.20 | % 58.80/24.20 | From (749) and (15) follows: % 58.80/24.20 | (751) op(e3, e2) = e2 % 58.80/24.20 | % 58.80/24.20 | From (749) and (227) follows: % 58.80/24.20 | (22570) op(e4, e3) = e4 % 58.80/24.20 | % 58.80/24.20 | From (749) and (40) follows: % 58.80/24.20 | (3715) op(e3, e3) = e3 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.80/24.20 | (397) e4 = e0 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.80/24.20 | (323) e4 = e2 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.80/24.20 | (425) e4 = e3 % 58.80/24.20 | % 58.80/24.20 | Instantiating formula (29) with e3, e2, e2, e1 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e1, yields: % 58.80/24.20 | (617) e2 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (323,425) yields a new equation: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Combining equations (397,425) yields a new equation: % 58.80/24.20 | (676) e3 = e0 % 58.80/24.20 | % 58.80/24.20 | Combining equations (662,676) yields a new equation: % 58.80/24.20 | (391) e2 = e0 % 58.80/24.20 | % 58.80/24.20 | Simplifying 391 yields: % 58.80/24.20 | (330) e2 = e0 % 58.80/24.20 | % 58.80/24.20 | Combining equations (617,330) yields a new equation: % 58.80/24.20 | (546) e1 = e0 % 58.80/24.20 | % 58.80/24.20 | Simplifying 546 yields: % 58.80/24.20 | (431) e1 = e0 % 58.80/24.20 | % 58.80/24.20 | Equations (431) can reduce 233 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (664) ~ (all_0_51_51 = e3) % 58.80/24.20 | (665) all_0_53_53 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (607,665) yields a new equation: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Equations (662) can reduce 212 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (407) ~ (all_0_44_44 = e3) % 58.80/24.20 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (418), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (660) all_0_51_51 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (660) can reduce 475 to: % 58.80/24.20 | (277) ~ (e4 = e3) % 58.80/24.20 | % 58.80/24.20 | Simplifying 277 yields: % 58.80/24.20 | (188) ~ (e4 = e3) % 58.80/24.20 | % 58.80/24.20 | Equations (660) can reduce 1099 to: % 58.80/24.20 | (212) ~ (e3 = e2) % 58.80/24.20 | % 58.80/24.20 | Equations (660) can reduce 464 to: % 58.80/24.20 | (213) ~ (e3 = e1) % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (144), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (403) all_0_41_41 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (403,437) yields a new equation: % 58.80/24.20 | (425) e4 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (425) can reduce 188 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1898) ~ (all_0_41_41 = e3) % 58.80/24.20 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (537), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (884) all_0_49_49 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (671,884) yields a new equation: % 58.80/24.20 | (455) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (455) can reduce 213 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (525) ~ (all_0_49_49 = e3) % 58.80/24.20 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (671) can reduce 525 to: % 58.80/24.20 | (467) ~ (e3 = e1) % 58.80/24.20 | % 58.80/24.20 | Simplifying 467 yields: % 58.80/24.20 | (213) ~ (e3 = e1) % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1923), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (1557) all_0_46_46 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (1557) can reduce 300 to: % 58.80/24.20 | (212) ~ (e3 = e2) % 58.80/24.20 | % 58.80/24.20 | Equations (1557) can reduce 831 to: % 58.80/24.20 | (80) ~ (e3 = e0) % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (887), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (665) all_0_53_53 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (607,665) yields a new equation: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Equations (662) can reduce 212 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (903) ~ (all_0_53_53 = e3) % 58.80/24.20 | (795) all_0_58_58 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (795,914) yields a new equation: % 58.80/24.20 | (675) e3 = e0 % 58.80/24.20 | % 58.80/24.20 | Simplifying 675 yields: % 58.80/24.20 | (676) e3 = e0 % 58.80/24.20 | % 58.80/24.20 | Equations (676) can reduce 80 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (409) ~ (all_0_46_46 = e3) % 58.80/24.20 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (4042), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (415) all_0_50_50 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (601,415) yields a new equation: % 58.80/24.20 | (455) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (455) can reduce 213 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (411) ~ (all_0_50_50 = e3) % 58.80/24.20 | (2336) all_0_55_55 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (386,2336) yields a new equation: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Equations (662) can reduce 212 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (664) ~ (all_0_51_51 = e3) % 58.80/24.20 | (665) all_0_53_53 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (607,665) yields a new equation: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Equations (662) can reduce 212 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.20 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (7), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (504) all_0_51_51 = e2 % 58.80/24.20 | % 58.80/24.20 | Equations (504) can reduce 1099 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1099) ~ (all_0_51_51 = e2) % 58.80/24.20 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1100), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (1101) all_0_51_51 = e4 % 58.80/24.20 | % 58.80/24.20 | Equations (1101) can reduce 475 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (475) ~ (all_0_51_51 = e4) % 58.80/24.20 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1104), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (1109) all_0_51_51 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (1109) can reduce 464 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (464) ~ (all_0_51_51 = e1) % 58.80/24.20 | (660) all_0_51_51 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (660) can reduce 61 to: % 58.80/24.20 | (405) ~ (all_0_42_42 = e3) % 58.80/24.20 | % 58.80/24.20 | Equations (660) can reduce 475 to: % 58.80/24.20 | (277) ~ (e4 = e3) % 58.80/24.20 | % 58.80/24.20 | Simplifying 277 yields: % 58.80/24.20 | (188) ~ (e4 = e3) % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (113), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (403) all_0_41_41 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (403,437) yields a new equation: % 58.80/24.20 | (425) e4 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (425) can reduce 188 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1898) ~ (all_0_41_41 = e3) % 58.80/24.20 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (189), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (532) all_0_44_44 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (532) can reduce 1390 to: % 58.80/24.20 | (277) ~ (e4 = e3) % 58.80/24.20 | % 58.80/24.20 | Simplifying 277 yields: % 58.80/24.20 | (188) ~ (e4 = e3) % 58.80/24.20 | % 58.80/24.20 | Equations (532) can reduce 147 to: % 58.80/24.20 | (212) ~ (e3 = e2) % 58.80/24.20 | % 58.80/24.20 | Equations (532) can reduce 639 to: % 58.80/24.20 | (213) ~ (e3 = e1) % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (103), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (453) all_0_41_41 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (453,437) yields a new equation: % 58.80/24.20 | (630) e4 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (630) can reduce 110 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (457) ~ (all_0_41_41 = e1) % 58.80/24.20 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (144), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (403) all_0_41_41 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (403,437) yields a new equation: % 58.80/24.20 | (425) e4 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (425) can reduce 188 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1898) ~ (all_0_41_41 = e3) % 58.80/24.20 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1923), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (1557) all_0_46_46 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (1557) can reduce 549 to: % 58.80/24.20 | (213) ~ (e3 = e1) % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (458), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (459) all_0_42_42 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (459) can reduce 1380 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.20 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1381), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (430) all_0_43_43 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (430,356) yields a new equation: % 58.80/24.20 | (546) e1 = e0 % 58.80/24.20 | % 58.80/24.20 | Simplifying 546 yields: % 58.80/24.20 | (431) e1 = e0 % 58.80/24.20 | % 58.80/24.20 | Equations (431) can reduce 233 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (433) ~ (all_0_43_43 = e1) % 58.80/24.20 | (635) all_0_44_44 = e1 % 58.80/24.20 | % 58.80/24.20 | Combining equations (532,635) yields a new equation: % 58.80/24.20 | (454) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Simplifying 454 yields: % 58.80/24.20 | (455) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (455) can reduce 213 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (409) ~ (all_0_46_46 = e3) % 58.80/24.20 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (4042), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (415) all_0_50_50 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (601,415) yields a new equation: % 58.80/24.20 | (455) e3 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (455) can reduce 213 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (411) ~ (all_0_50_50 = e3) % 58.80/24.20 | (2336) all_0_55_55 = e3 % 58.80/24.20 | % 58.80/24.20 | Combining equations (386,2336) yields a new equation: % 58.80/24.20 | (662) e3 = e2 % 58.80/24.20 | % 58.80/24.20 | Equations (662) can reduce 212 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (407) ~ (all_0_44_44 = e3) % 58.80/24.20 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1899), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (516) all_0_42_42 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (516) can reduce 405 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (405) ~ (all_0_42_42 = e3) % 58.80/24.20 | (532) all_0_44_44 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (532) can reduce 407 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (759) ~ (all_0_50_50 = e1) % 58.80/24.20 | (415) all_0_50_50 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (415) can reduce 411 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (678) ~ (all_0_47_47 = e0) % 58.80/24.20 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (1278), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (1279) all_0_48_48 = e0 % 58.80/24.20 | % 58.80/24.20 | Combining equations (335,1279) yields a new equation: % 58.80/24.20 | (391) e2 = e0 % 58.80/24.20 | % 58.80/24.20 | Simplifying 391 yields: % 58.80/24.20 | (330) e2 = e0 % 58.80/24.20 | % 58.80/24.20 | Equations (330) can reduce 128 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (1283) ~ (all_0_48_48 = e0) % 58.80/24.20 | (978) all_0_49_49 = e0 % 58.80/24.20 | % 58.80/24.20 | Equations (978) can reduce 487 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (491) ~ (all_0_58_58 = e0) % 58.80/24.20 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 58.80/24.20 | % 58.80/24.20 +-Applying beta-rule and splitting (917), into two cases. % 58.80/24.20 |-Branch one: % 58.80/24.20 | (918) all_0_58_58 = e1 % 58.80/24.20 | % 58.80/24.20 | Equations (918) can reduce 880 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.20 |-Branch two: % 58.80/24.20 | (880) ~ (all_0_58_58 = e1) % 58.80/24.20 | (795) all_0_58_58 = e3 % 58.80/24.20 | % 58.80/24.20 | Equations (795) can reduce 276 to: % 58.80/24.20 | (266) $false % 58.80/24.20 | % 58.80/24.20 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (440) ~ (all_0_41_41 = e4) % 58.80/24.21 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (769), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (770) all_0_46_46 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (770) can reduce 250 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (250) ~ (all_0_46_46 = e4) % 58.80/24.21 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (774), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (775) all_0_50_50 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (775) can reduce 566 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (566) ~ (all_0_50_50 = e4) % 58.80/24.21 | (587) all_0_55_55 = e4 % 58.80/24.21 | % 58.80/24.21 | Combining equations (587,386) yields a new equation: % 58.80/24.21 | (322) e4 = e2 % 58.80/24.21 | % 58.80/24.21 | Simplifying 322 yields: % 58.80/24.21 | (323) e4 = e2 % 58.80/24.21 | % 58.80/24.21 | Equations (323) can reduce 48 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (230), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (396) all_0_43_43 = e4 % 58.80/24.21 | % 58.80/24.21 | Combining equations (396,356) yields a new equation: % 58.80/24.21 | (481) e4 = e0 % 58.80/24.21 | % 58.80/24.21 | Simplifying 481 yields: % 58.80/24.21 | (397) e4 = e0 % 58.80/24.21 | % 58.80/24.21 | Equations (397) can reduce 49 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (399) ~ (all_0_43_43 = e4) % 58.80/24.21 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (400), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (943) all_0_48_48 = e4 % 58.80/24.21 | % 58.80/24.21 | Combining equations (335,943) yields a new equation: % 58.80/24.21 | (323) e4 = e2 % 58.80/24.21 | % 58.80/24.21 | Equations (323) can reduce 48 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (254) ~ (all_0_48_48 = e4) % 58.80/24.21 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (947), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (565) all_0_52_52 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (565) can reduce 780 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | (871) all_0_57_57 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (871) can reduce 11 to: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (355), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (565) all_0_52_52 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (565) can reduce 780 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | (642) all_0_52_52 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (642) can reduce 342 to: % 58.80/24.21 | (604) ~ (e2 = e1) % 58.80/24.21 | % 58.80/24.21 | Simplifying 604 yields: % 58.80/24.21 | (122) ~ (e2 = e1) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (781), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (789), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (790), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (791), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (792), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (793) yields: % 58.80/24.21 | (794) all_0_41_41 = e0 % 58.80/24.21 | (795) all_0_58_58 = e3 % 58.80/24.21 | (407) ~ (all_0_44_44 = e3) % 58.80/24.21 | % 58.80/24.21 | Equations (795) can reduce 276 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (800) yields: % 58.80/24.21 | (794) all_0_41_41 = e0 % 58.80/24.21 | (795) all_0_58_58 = e3 % 58.80/24.21 | (803) ~ (all_0_55_55 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (795) can reduce 276 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (807) yields: % 58.80/24.21 | (654) all_0_47_47 = e1 % 58.80/24.21 | (352) all_0_52_52 = e2 % 58.80/24.21 | (810) ~ (all_0_48_48 = e2) % 58.80/24.21 | % 58.80/24.21 | Combining equations (642,352) yields a new equation: % 58.80/24.21 | (617) e2 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (617) can reduce 122 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (813) yields: % 58.80/24.21 | (654) all_0_47_47 = e1 % 58.80/24.21 | (352) all_0_52_52 = e2 % 58.80/24.21 | (464) ~ (all_0_51_51 = e1) % 58.80/24.21 | % 58.80/24.21 | Combining equations (642,352) yields a new equation: % 58.80/24.21 | (617) e2 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (617) can reduce 122 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (819) yields: % 58.80/24.21 | (674) all_0_47_47 = e0 % 58.80/24.21 | (624) all_0_58_58 = e2 % 58.80/24.21 | (340) ~ (all_0_49_49 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 908 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (825) yields: % 58.80/24.21 | (674) all_0_47_47 = e0 % 58.80/24.21 | (624) all_0_58_58 = e2 % 58.80/24.21 | (828) ~ (all_0_56_56 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 908 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (304) ~ (all_0_55_55 = e2) % 58.80/24.21 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (24428), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (378) all_0_50_50 = e2 % 58.80/24.21 | % 58.80/24.21 | Equations (378) can reduce 302 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (302) ~ (all_0_50_50 = e2) % 58.80/24.21 | (386) all_0_55_55 = e2 % 58.80/24.21 | % 58.80/24.21 | Equations (386) can reduce 304 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (5470) ~ (all_0_43_43 = e0) % 58.80/24.21 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (5471), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (1279) all_0_48_48 = e0 % 58.80/24.21 | % 58.80/24.21 | Combining equations (335,1279) yields a new equation: % 58.80/24.21 | (391) e2 = e0 % 58.80/24.21 | % 58.80/24.21 | Simplifying 391 yields: % 58.80/24.21 | (330) e2 = e0 % 58.80/24.21 | % 58.80/24.21 | Equations (330) can reduce 128 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (1283) ~ (all_0_48_48 = e0) % 58.80/24.21 | (875) all_0_57_57 = e0 % 58.80/24.21 | % 58.80/24.21 | Equations (875) can reduce 199 to: % 58.80/24.21 | (5470) ~ (all_0_43_43 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (875) can reduce 11 to: % 58.80/24.21 | (72) ~ (all_0_52_52 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (875) can reduce 81 to: % 58.80/24.21 | (803) ~ (all_0_55_55 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (875) can reduce 140 to: % 58.80/24.21 | (828) ~ (all_0_56_56 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (875) can reduce 148 to: % 58.80/24.21 | (490) ~ (all_0_58_58 = e0) % 58.80/24.21 | % 58.80/24.21 | Simplifying 490 yields: % 58.80/24.21 | (491) ~ (all_0_58_58 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (875) can reduce 344 to: % 58.80/24.21 | (365) ~ (e2 = e0) % 58.80/24.21 | % 58.80/24.21 | Simplifying 365 yields: % 58.80/24.21 | (128) ~ (e2 = e0) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (195), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (396) all_0_43_43 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (396) can reduce 31 to: % 58.80/24.21 | (440) ~ (all_0_41_41 = e4) % 58.80/24.21 | % 58.80/24.21 | Equations (396) can reduce 240 to: % 58.80/24.21 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.21 | % 58.80/24.21 | Equations (396) can reduce 159 to: % 58.80/24.21 | (1903) ~ (all_0_44_44 = e4) % 58.80/24.21 | % 58.80/24.21 | Simplifying 1903 yields: % 58.80/24.21 | (1390) ~ (all_0_44_44 = e4) % 58.80/24.21 | % 58.80/24.21 | Equations (396) can reduce 217 to: % 58.80/24.21 | (958) ~ (all_0_52_52 = e4) % 58.80/24.21 | % 58.80/24.21 | Simplifying 958 yields: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | % 58.80/24.21 | From (396) and (37) follows: % 58.80/24.21 | (5492) op(e3, e1) = e4 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (355), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (565) all_0_52_52 = e4 % 58.80/24.21 | % 58.80/24.21 | Equations (565) can reduce 780 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | (642) all_0_52_52 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (642) can reduce 101 to: % 58.80/24.21 | (759) ~ (all_0_50_50 = e1) % 58.80/24.21 | % 58.80/24.21 | Equations (642) can reduce 780 to: % 58.80/24.21 | (602) ~ (e4 = e1) % 58.80/24.21 | % 58.80/24.21 | Simplifying 602 yields: % 58.80/24.21 | (110) ~ (e4 = e1) % 58.80/24.21 | % 58.80/24.21 | Equations (642) can reduce 342 to: % 58.80/24.21 | (604) ~ (e2 = e1) % 58.80/24.21 | % 58.80/24.21 | Simplifying 604 yields: % 58.80/24.21 | (122) ~ (e2 = e1) % 58.80/24.21 | % 58.80/24.21 | Equations (642) can reduce 72 to: % 58.80/24.21 | (233) ~ (e1 = e0) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (163), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (565) all_0_52_52 = e4 % 58.80/24.21 | % 58.80/24.21 | Combining equations (565,642) yields a new equation: % 58.80/24.21 | (636) e4 = e1 % 58.80/24.21 | % 58.80/24.21 | Simplifying 636 yields: % 58.80/24.21 | (630) e4 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (630) can reduce 110 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (780) ~ (all_0_52_52 = e4) % 58.80/24.21 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 58.80/24.21 | % 58.80/24.21 | Equations (642) can reduce 780 to: % 58.80/24.21 | (602) ~ (e4 = e1) % 58.80/24.21 | % 58.80/24.21 | Simplifying 602 yields: % 58.80/24.21 | (110) ~ (e4 = e1) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (781), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (789), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (790), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (791), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (792), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (793) yields: % 58.80/24.21 | (794) all_0_41_41 = e0 % 58.80/24.21 | (795) all_0_58_58 = e3 % 58.80/24.21 | (407) ~ (all_0_44_44 = e3) % 58.80/24.21 | % 58.80/24.21 | Equations (795) can reduce 276 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (800) yields: % 58.80/24.21 | (794) all_0_41_41 = e0 % 58.80/24.21 | (795) all_0_58_58 = e3 % 58.80/24.21 | (803) ~ (all_0_55_55 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (795) can reduce 276 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (807) yields: % 58.80/24.21 | (654) all_0_47_47 = e1 % 58.80/24.21 | (352) all_0_52_52 = e2 % 58.80/24.21 | (810) ~ (all_0_48_48 = e2) % 58.80/24.21 | % 58.80/24.21 | Combining equations (642,352) yields a new equation: % 58.80/24.21 | (617) e2 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (617) can reduce 122 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (813) yields: % 58.80/24.21 | (654) all_0_47_47 = e1 % 58.80/24.21 | (352) all_0_52_52 = e2 % 58.80/24.21 | (464) ~ (all_0_51_51 = e1) % 58.80/24.21 | % 58.80/24.21 | Combining equations (642,352) yields a new equation: % 58.80/24.21 | (617) e2 = e1 % 58.80/24.21 | % 58.80/24.21 | Equations (617) can reduce 122 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 58.80/24.21 | % 58.80/24.21 | Applying alpha-rule on (819) yields: % 58.80/24.21 | (674) all_0_47_47 = e0 % 58.80/24.21 | (624) all_0_58_58 = e2 % 58.80/24.21 | (340) ~ (all_0_49_49 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (674) can reduce 198 to: % 58.80/24.21 | (358) ~ (all_0_42_42 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 181 to: % 58.80/24.21 | (147) ~ (all_0_44_44 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (674) can reduce 19 to: % 58.80/24.21 | (831) ~ (all_0_46_46 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (674) can reduce 252 to: % 58.80/24.21 | (401) ~ (e4 = e0) % 58.80/24.21 | % 58.80/24.21 | Simplifying 401 yields: % 58.80/24.21 | (49) ~ (e4 = e0) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 119 to: % 58.80/24.21 | (340) ~ (all_0_49_49 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 10 to: % 58.80/24.21 | (509) ~ (all_0_53_53 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 451 to: % 58.80/24.21 | (327) ~ (e4 = e2) % 58.80/24.21 | % 58.80/24.21 | Simplifying 327 yields: % 58.80/24.21 | (48) ~ (e4 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (624) can reduce 276 to: % 58.80/24.21 | (626) ~ (e3 = e2) % 58.80/24.21 | % 58.80/24.21 | Simplifying 626 yields: % 58.80/24.21 | (212) ~ (e3 = e2) % 58.80/24.21 | % 58.80/24.21 | From (674) and (23) follows: % 58.80/24.21 | (3148) op(e2, e2) = e0 % 58.80/24.21 | % 58.80/24.21 | From (624) and (245) follows: % 58.80/24.21 | (628) op(e0, e0) = e2 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (196), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (607) all_0_53_53 = e2 % 58.80/24.21 | % 58.80/24.21 | Equations (607) can reduce 509 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (509) ~ (all_0_53_53 = e2) % 58.80/24.21 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (165), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (794) all_0_41_41 = e0 % 58.80/24.21 | % 58.80/24.21 | Equations (794) can reduce 357 to: % 58.80/24.21 | (266) $false % 58.80/24.21 | % 58.80/24.21 |-The branch is then unsatisfiable % 58.80/24.21 |-Branch two: % 58.80/24.21 | (357) ~ (all_0_41_41 = e0) % 58.80/24.21 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.80/24.21 | % 58.80/24.21 +-Applying beta-rule and splitting (95), into two cases. % 58.80/24.21 |-Branch one: % 58.80/24.21 | (378) all_0_50_50 = e2 % 58.80/24.21 | % 58.80/24.21 | Equations (378) can reduce 221 to: % 58.80/24.21 | (85) ~ (all_0_41_41 = e2) % 58.80/24.21 | % 58.80/24.21 | Equations (378) can reduce 35 to: % 58.80/24.21 | (300) ~ (all_0_46_46 = e2) % 58.80/24.21 | % 58.80/24.22 | Equations (378) can reduce 93 to: % 58.80/24.22 | (303) ~ (all_0_55_55 = e2) % 58.80/24.22 | % 58.80/24.22 | Simplifying 303 yields: % 58.80/24.22 | (304) ~ (all_0_55_55 = e2) % 58.80/24.22 | % 58.80/24.22 | Equations (378) can reduce 759 to: % 58.80/24.22 | (122) ~ (e2 = e1) % 58.80/24.22 | % 58.80/24.22 | From (378) and (242) follows: % 58.80/24.22 | (26152) op(e1, e3) = e2 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (62), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (321) all_0_38_38 = e4 % 58.80/24.22 | % 58.80/24.22 | Combining equations (321,329) yields a new equation: % 58.80/24.22 | (481) e4 = e0 % 58.80/24.22 | % 58.80/24.22 | Simplifying 481 yields: % 58.80/24.22 | (397) e4 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (397) can reduce 49 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (325) ~ (all_0_38_38 = e4) % 58.80/24.22 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (582), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (437) all_0_41_41 = e4 % 58.80/24.22 | % 58.80/24.22 | Equations (437) can reduce 440 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (440) ~ (all_0_41_41 = e4) % 58.80/24.22 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (769), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (770) all_0_46_46 = e4 % 58.80/24.22 | % 58.80/24.22 | Equations (770) can reduce 250 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (250) ~ (all_0_46_46 = e4) % 58.80/24.22 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (774), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (775) all_0_50_50 = e4 % 58.80/24.22 | % 58.80/24.22 | Combining equations (378,775) yields a new equation: % 58.80/24.22 | (323) e4 = e2 % 58.80/24.22 | % 58.80/24.22 | Equations (323) can reduce 48 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (566) ~ (all_0_50_50 = e4) % 58.80/24.22 | (587) all_0_55_55 = e4 % 58.80/24.22 | % 58.80/24.22 | Equations (587) can reduce 191 to: % 58.80/24.22 | (440) ~ (all_0_41_41 = e4) % 58.80/24.22 | % 58.80/24.22 | Equations (587) can reduce 58 to: % 58.80/24.22 | (250) ~ (all_0_46_46 = e4) % 58.80/24.22 | % 58.80/24.22 | Equations (587) can reduce 304 to: % 58.80/24.22 | (48) ~ (e4 = e2) % 58.80/24.22 | % 58.80/24.22 | Equations (587) can reduce 803 to: % 58.80/24.22 | (49) ~ (e4 = e0) % 58.80/24.22 | % 58.80/24.22 | From (587) and (74) follows: % 58.80/24.22 | (589) op(e0, e3) = e4 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (6761), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (559) all_0_42_42 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (559) can reduce 358 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (358) ~ (all_0_42_42 = e0) % 58.80/24.22 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (6766), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (356) all_0_43_43 = e0 % 58.80/24.22 | % 58.80/24.22 | Combining equations (356,396) yields a new equation: % 58.80/24.22 | (397) e4 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (397) can reduce 49 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (5470) ~ (all_0_43_43 = e0) % 58.80/24.22 | (1414) all_0_44_44 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (1414) can reduce 149 to: % 58.80/24.22 | (357) ~ (all_0_41_41 = e0) % 58.80/24.22 | % 58.80/24.22 | Equations (1414) can reduce 73 to: % 58.80/24.22 | (358) ~ (all_0_42_42 = e0) % 58.80/24.22 | % 58.80/24.22 | Equations (1414) can reduce 9 to: % 58.80/24.22 | (486) ~ (all_0_49_49 = e0) % 58.80/24.22 | % 58.80/24.22 | Simplifying 486 yields: % 58.80/24.22 | (487) ~ (all_0_49_49 = e0) % 58.80/24.22 | % 58.80/24.22 | Equations (1414) can reduce 220 to: % 58.80/24.22 | (488) ~ (all_0_53_53 = e0) % 58.80/24.22 | % 58.80/24.22 | Simplifying 488 yields: % 58.80/24.22 | (247) ~ (all_0_53_53 = e0) % 58.80/24.22 | % 58.80/24.22 | Equations (1414) can reduce 1390 to: % 58.80/24.22 | (401) ~ (e4 = e0) % 58.80/24.22 | % 58.80/24.22 | Simplifying 401 yields: % 58.80/24.22 | (49) ~ (e4 = e0) % 58.80/24.22 | % 58.80/24.22 | Equations (1414) can reduce 147 to: % 58.80/24.22 | (365) ~ (e2 = e0) % 58.80/24.22 | % 58.80/24.22 | Simplifying 365 yields: % 58.80/24.22 | (128) ~ (e2 = e0) % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (216), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (629) all_0_55_55 = e1 % 58.80/24.22 | % 58.80/24.22 | Combining equations (587,629) yields a new equation: % 58.80/24.22 | (636) e4 = e1 % 58.80/24.22 | % 58.80/24.22 | Simplifying 636 yields: % 58.80/24.22 | (630) e4 = e1 % 58.80/24.22 | % 58.80/24.22 | Equations (630) can reduce 110 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (632) ~ (all_0_55_55 = e1) % 58.80/24.22 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (633), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (1569) all_0_56_56 = e1 % 58.80/24.22 | % 58.80/24.22 | Equations (1569) can reduce 236 to: % 58.80/24.22 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.22 | % 58.80/24.22 | Equations (1569) can reduce 16 to: % 58.80/24.22 | (464) ~ (all_0_51_51 = e1) % 58.80/24.22 | % 58.80/24.22 | From (1569) and (111) follows: % 58.80/24.22 | (3175) op(e0, e2) = e1 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (231), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (775) all_0_50_50 = e4 % 58.80/24.22 | % 58.80/24.22 | Combining equations (378,775) yields a new equation: % 58.80/24.22 | (323) e4 = e2 % 58.80/24.22 | % 58.80/24.22 | Equations (323) can reduce 48 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (566) ~ (all_0_50_50 = e4) % 58.80/24.22 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.80/24.22 | % 58.80/24.22 | Equations (378) can reduce 566 to: % 58.80/24.22 | (327) ~ (e4 = e2) % 58.80/24.22 | % 58.80/24.22 | Simplifying 327 yields: % 58.80/24.22 | (48) ~ (e4 = e2) % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (103), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (453) all_0_41_41 = e1 % 58.80/24.22 | % 58.80/24.22 | Equations (453) can reduce 214 to: % 58.80/24.22 | (4055) ~ (all_0_42_42 = e1) % 58.80/24.22 | % 58.80/24.22 | Simplifying 4055 yields: % 58.80/24.22 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.22 | % 58.80/24.22 | Equations (453) can reduce 43 to: % 58.80/24.22 | (4059) ~ (all_0_46_46 = e1) % 58.80/24.22 | % 58.80/24.22 | Simplifying 4059 yields: % 58.80/24.22 | (549) ~ (all_0_46_46 = e1) % 58.80/24.22 | % 58.80/24.22 | Equations (453) can reduce 85 to: % 58.80/24.22 | (604) ~ (e2 = e1) % 58.80/24.22 | % 58.80/24.22 | Simplifying 604 yields: % 58.80/24.22 | (122) ~ (e2 = e1) % 58.80/24.22 | % 58.80/24.22 | Equations (453) can reduce 357 to: % 58.80/24.22 | (233) ~ (e1 = e0) % 58.80/24.22 | % 58.80/24.22 | From (453) and (219) follows: % 58.80/24.22 | (12512) op(e3, e3) = e1 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (1071), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (1101) all_0_51_51 = e4 % 58.80/24.22 | % 58.80/24.22 | Equations (1101) can reduce 61 to: % 58.80/24.22 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.22 | % 58.80/24.22 | Equations (1101) can reduce 6 to: % 58.80/24.22 | (1452) ~ (all_0_53_53 = e4) % 58.80/24.22 | % 58.80/24.22 | Simplifying 1452 yields: % 58.80/24.22 | (1453) ~ (all_0_53_53 = e4) % 58.80/24.22 | % 58.80/24.22 | From (1101) and (186) follows: % 58.80/24.22 | (13720) op(e1, e2) = e4 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (168), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (415) all_0_50_50 = e3 % 58.80/24.22 | % 58.80/24.22 | Combining equations (378,415) yields a new equation: % 58.80/24.22 | (662) e3 = e2 % 58.80/24.22 | % 58.80/24.22 | Equations (662) can reduce 212 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (411) ~ (all_0_50_50 = e3) % 58.80/24.22 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (180), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (516) all_0_42_42 = e3 % 58.80/24.22 | % 58.80/24.22 | Equations (516) can reduce 1890 to: % 58.80/24.22 | (277) ~ (e4 = e3) % 58.80/24.22 | % 58.80/24.22 | Simplifying 277 yields: % 58.80/24.22 | (188) ~ (e4 = e3) % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (418), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (660) all_0_51_51 = e3 % 58.80/24.22 | % 58.80/24.22 | Combining equations (1101,660) yields a new equation: % 58.80/24.22 | (424) e4 = e3 % 58.80/24.22 | % 58.80/24.22 | Simplifying 424 yields: % 58.80/24.22 | (425) e4 = e3 % 58.80/24.22 | % 58.80/24.22 | Equations (425) can reduce 188 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (664) ~ (all_0_51_51 = e3) % 58.80/24.22 | (665) all_0_53_53 = e3 % 58.80/24.22 | % 58.80/24.22 | Equations (665) can reduce 65 to: % 58.80/24.22 | (525) ~ (all_0_49_49 = e3) % 58.80/24.22 | % 58.80/24.22 | Equations (665) can reduce 1453 to: % 58.80/24.22 | (277) ~ (e4 = e3) % 58.80/24.22 | % 58.80/24.22 | Simplifying 277 yields: % 58.80/24.22 | (188) ~ (e4 = e3) % 58.80/24.22 | % 58.80/24.22 | Equations (665) can reduce 247 to: % 58.80/24.22 | (80) ~ (e3 = e0) % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (78), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (423) all_0_45_45 = e3 % 58.80/24.22 | % 58.80/24.22 | Combining equations (423,248) yields a new equation: % 58.80/24.22 | (425) e4 = e3 % 58.80/24.22 | % 58.80/24.22 | Equations (425) can reduce 188 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (427) ~ (all_0_45_45 = e3) % 58.80/24.22 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (54), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (583) all_0_49_49 = e2 % 58.80/24.22 | % 58.80/24.22 | Equations (583) can reduce 340 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (340) ~ (all_0_49_49 = e2) % 58.80/24.22 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (428), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (1557) all_0_46_46 = e3 % 58.80/24.22 | % 58.80/24.22 | Equations (1557) can reduce 208 to: % 58.80/24.22 | (524) ~ (all_0_49_49 = e3) % 58.80/24.22 | % 58.80/24.22 | Simplifying 524 yields: % 58.80/24.22 | (525) ~ (all_0_49_49 = e3) % 58.80/24.22 | % 58.80/24.22 | From (1557) and (120) follows: % 58.80/24.22 | (697) op(e2, e3) = e3 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (586), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (974) all_0_49_49 = e4 % 58.80/24.22 | % 58.80/24.22 | Equations (974) can reduce 256 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (256) ~ (all_0_49_49 = e4) % 58.80/24.22 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (977), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (978) all_0_49_49 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (978) can reduce 487 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (487) ~ (all_0_49_49 = e0) % 58.80/24.22 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (981), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (671) all_0_49_49 = e1 % 58.80/24.22 | % 58.80/24.22 | Equations (671) can reduce 487 to: % 58.80/24.22 | (233) ~ (e1 = e0) % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (56), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (696) unit = e2 % 58.80/24.22 | % 58.80/24.22 | From (696) and (227) follows: % 58.80/24.22 | (4284) op(e4, e2) = e4 % 58.80/24.22 | % 58.80/24.22 | From (696) and (32) follows: % 58.80/24.22 | (698) op(e2, e2) = e2 % 58.80/24.22 | % 58.80/24.22 | From (696) and (28) follows: % 58.80/24.22 | (699) op(e1, e2) = e1 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.80/24.22 | (323) e4 = e2 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 58.80/24.22 | (330) e2 = e0 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.80/24.22 | (630) e4 = e1 % 58.80/24.22 | % 58.80/24.22 | Combining equations (323,630) yields a new equation: % 58.80/24.22 | (616) e2 = e1 % 58.80/24.22 | % 58.80/24.22 | Simplifying 616 yields: % 58.80/24.22 | (617) e2 = e1 % 58.80/24.22 | % 58.80/24.22 | Combining equations (617,330) yields a new equation: % 58.80/24.22 | (546) e1 = e0 % 58.80/24.22 | % 58.80/24.22 | Simplifying 546 yields: % 58.80/24.22 | (431) e1 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (431) can reduce 233 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (707) ~ (unit = e2) % 58.80/24.22 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (708), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (709) unit = e4 % 58.80/24.22 | % 58.80/24.22 | From (709) and (211) follows: % 58.80/24.22 | (22527) op(e4, e1) = e1 % 58.80/24.22 | % 58.80/24.22 | From (709) and (42) follows: % 58.80/24.22 | (713) op(e0, e4) = e0 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.80/24.22 | (455) e3 = e1 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.80/24.22 | (676) e3 = e0 % 58.80/24.22 | % 58.80/24.22 | Combining equations (455,676) yields a new equation: % 58.80/24.22 | (546) e1 = e0 % 58.80/24.22 | % 58.80/24.22 | Simplifying 546 yields: % 58.80/24.22 | (431) e1 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (431) can reduce 233 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (724) ~ (unit = e4) % 58.80/24.22 | (725) unit = e3 | unit = e1 | unit = e0 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (725), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (726) unit = e0 % 58.80/24.22 | % 58.80/24.22 | From (726) and (15) follows: % 58.80/24.22 | (1508) op(e0, e2) = e2 % 58.80/24.22 | % 58.80/24.22 | From (726) and (42) follows: % 58.80/24.22 | (728) op(e0, e0) = e0 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 58.80/24.22 | (617) e2 = e1 % 58.80/24.22 | % 58.80/24.22 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.80/24.22 | (330) e2 = e0 % 58.80/24.22 | % 58.80/24.22 | Combining equations (330,617) yields a new equation: % 58.80/24.22 | (431) e1 = e0 % 58.80/24.22 | % 58.80/24.22 | Equations (431) can reduce 233 to: % 58.80/24.22 | (266) $false % 58.80/24.22 | % 58.80/24.22 |-The branch is then unsatisfiable % 58.80/24.22 |-Branch two: % 58.80/24.22 | (734) ~ (unit = e0) % 58.80/24.22 | (735) unit = e3 | unit = e1 % 58.80/24.22 | % 58.80/24.22 +-Applying beta-rule and splitting (735), into two cases. % 58.80/24.22 |-Branch one: % 58.80/24.22 | (736) unit = e1 % 58.80/24.23 | % 58.80/24.23 | From (736) and (244) follows: % 58.80/24.23 | (738) op(e1, e4) = e4 % 58.80/24.23 | % 58.80/24.23 | From (736) and (24) follows: % 58.80/24.23 | (1934) op(e1, e3) = e3 % 58.80/24.23 | % 58.80/24.23 | From (736) and (40) follows: % 58.80/24.23 | (1652) op(e3, e1) = e3 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields: % 58.80/24.23 | (425) e4 = e3 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.80/24.23 | (397) e4 = e0 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 58.80/24.23 | (662) e3 = e2 % 58.80/24.23 | % 58.80/24.23 | Combining equations (425,397) yields a new equation: % 58.80/24.23 | (675) e3 = e0 % 58.80/24.23 | % 58.80/24.23 | Simplifying 675 yields: % 58.80/24.23 | (676) e3 = e0 % 58.80/24.23 | % 58.80/24.23 | Combining equations (662,676) yields a new equation: % 58.80/24.23 | (391) e2 = e0 % 58.80/24.23 | % 58.80/24.23 | Simplifying 391 yields: % 58.80/24.23 | (330) e2 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (330) can reduce 128 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (748) ~ (unit = e1) % 58.80/24.23 | (749) unit = e3 % 58.80/24.23 | % 58.80/24.23 | From (749) and (244) follows: % 58.80/24.23 | (750) op(e3, e4) = e4 % 58.80/24.23 | % 58.80/24.23 | From (749) and (40) follows: % 58.80/24.23 | (3715) op(e3, e3) = e3 % 58.80/24.23 | % 58.80/24.23 | From (749) and (32) follows: % 58.80/24.23 | (5793) op(e2, e3) = e2 % 58.80/24.23 | % 58.80/24.23 | From (749) and (42) follows: % 58.80/24.23 | (752) op(e0, e3) = e0 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.80/24.23 | (323) e4 = e2 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 58.80/24.23 | (455) e3 = e1 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.80/24.23 | (662) e3 = e2 % 58.80/24.23 | % 58.80/24.23 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.80/24.23 | (397) e4 = e0 % 58.80/24.23 | % 58.80/24.23 | Combining equations (397,323) yields a new equation: % 58.80/24.23 | (330) e2 = e0 % 58.80/24.23 | % 58.80/24.23 | Combining equations (662,455) yields a new equation: % 58.80/24.23 | (616) e2 = e1 % 58.80/24.23 | % 58.80/24.23 | Simplifying 616 yields: % 58.80/24.23 | (617) e2 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (617,330) yields a new equation: % 58.80/24.23 | (546) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Simplifying 546 yields: % 58.80/24.23 | (431) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (431) can reduce 233 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1064) ~ (all_0_49_49 = e1) % 58.80/24.23 | (884) all_0_49_49 = e3 % 58.80/24.23 | % 58.80/24.23 | Equations (884) can reduce 525 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (409) ~ (all_0_46_46 = e3) % 58.80/24.23 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1561), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (522) all_0_47_47 = e3 % 58.80/24.23 | % 58.80/24.23 | Combining equations (522,674) yields a new equation: % 58.80/24.23 | (675) e3 = e0 % 58.80/24.23 | % 58.80/24.23 | Simplifying 675 yields: % 58.80/24.23 | (676) e3 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (676) can reduce 80 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1091) ~ (all_0_47_47 = e3) % 58.80/24.23 | (884) all_0_49_49 = e3 % 58.80/24.23 | % 58.80/24.23 | Equations (884) can reduce 525 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (405) ~ (all_0_42_42 = e3) % 58.80/24.23 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (152), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (1392) all_0_42_42 = e4 % 58.80/24.23 | % 58.80/24.23 | Equations (1392) can reduce 1890 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.23 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1969), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (559) all_0_42_42 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (559) can reduce 358 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (358) ~ (all_0_42_42 = e0) % 58.80/24.23 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (2510), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (459) all_0_42_42 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (459) can reduce 1380 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.23 | (516) all_0_42_42 = e3 % 58.80/24.23 | % 58.80/24.23 | Equations (516) can reduce 405 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (475) ~ (all_0_51_51 = e4) % 58.80/24.23 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (135), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (545) all_0_46_46 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (545) can reduce 549 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (549) ~ (all_0_46_46 = e1) % 58.80/24.23 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (550), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (654) all_0_47_47 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (654,674) yields a new equation: % 58.80/24.23 | (546) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Simplifying 546 yields: % 58.80/24.23 | (431) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (431) can reduce 233 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (462) ~ (all_0_47_47 = e1) % 58.80/24.23 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (659), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (615) all_0_48_48 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (335,615) yields a new equation: % 58.80/24.23 | (616) e2 = e1 % 58.80/24.23 | % 58.80/24.23 | Simplifying 616 yields: % 58.80/24.23 | (617) e2 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (617) can reduce 122 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (619) ~ (all_0_48_48 = e1) % 58.80/24.23 | (671) all_0_49_49 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (671) can reduce 256 to: % 58.80/24.23 | (602) ~ (e4 = e1) % 58.80/24.23 | % 58.80/24.23 | Simplifying 602 yields: % 58.80/24.23 | (110) ~ (e4 = e1) % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1294), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (565) all_0_52_52 = e4 % 58.80/24.23 | % 58.80/24.23 | Combining equations (642,565) yields a new equation: % 58.80/24.23 | (630) e4 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (630) can reduce 110 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (780) ~ (all_0_52_52 = e4) % 58.80/24.23 | (1298) all_0_53_53 = e4 % 58.80/24.23 | % 58.80/24.23 | Equations (1298) can reduce 1453 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (457) ~ (all_0_41_41 = e1) % 58.80/24.23 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (18), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (453) all_0_41_41 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (453) can reduce 457 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (457) ~ (all_0_41_41 = e1) % 58.80/24.23 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (27), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (437) all_0_41_41 = e4 % 58.80/24.23 | % 58.80/24.23 | Equations (437) can reduce 440 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (440) ~ (all_0_41_41 = e4) % 58.80/24.23 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (4049), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (794) all_0_41_41 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (794) can reduce 357 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (357) ~ (all_0_41_41 = e0) % 58.80/24.23 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (4053), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (453) all_0_41_41 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (453) can reduce 457 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (457) ~ (all_0_41_41 = e1) % 58.80/24.23 | (403) all_0_41_41 = e3 % 58.80/24.23 | % 58.80/24.23 | Equations (403) can reduce 43 to: % 58.80/24.23 | (408) ~ (all_0_46_46 = e3) % 58.80/24.23 | % 58.80/24.23 | Simplifying 408 yields: % 58.80/24.23 | (409) ~ (all_0_46_46 = e3) % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (123), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (1794) all_0_46_46 = e2 % 58.80/24.23 | % 58.80/24.23 | Equations (1794) can reduce 300 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (300) ~ (all_0_46_46 = e2) % 58.80/24.23 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1797), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (770) all_0_46_46 = e4 % 58.80/24.23 | % 58.80/24.23 | Equations (770) can reduce 250 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (250) ~ (all_0_46_46 = e4) % 58.80/24.23 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1801), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (538) all_0_46_46 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (538) can reduce 831 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (831) ~ (all_0_46_46 = e0) % 58.80/24.23 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1838), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (545) all_0_46_46 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (545) can reduce 250 to: % 58.80/24.23 | (602) ~ (e4 = e1) % 58.80/24.23 | % 58.80/24.23 | Simplifying 602 yields: % 58.80/24.23 | (110) ~ (e4 = e1) % 58.80/24.23 | % 58.80/24.23 | Equations (545) can reduce 831 to: % 58.80/24.23 | (233) ~ (e1 = e0) % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (112), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (635) all_0_44_44 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (1414,635) yields a new equation: % 58.80/24.23 | (431) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (431) can reduce 233 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (639) ~ (all_0_44_44 = e1) % 58.80/24.23 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (1414) can reduce 639 to: % 58.80/24.23 | (435) ~ (e1 = e0) % 58.80/24.23 | % 58.80/24.23 | Simplifying 435 yields: % 58.80/24.23 | (233) ~ (e1 = e0) % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (164), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (471) all_0_39_39 = e4 % 58.80/24.23 | % 58.80/24.23 | Combining equations (471,317) yields a new equation: % 58.80/24.23 | (322) e4 = e2 % 58.80/24.23 | % 58.80/24.23 | Simplifying 322 yields: % 58.80/24.23 | (323) e4 = e2 % 58.80/24.23 | % 58.80/24.23 | Equations (323) can reduce 48 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1377) ~ (all_0_39_39 = e4) % 58.80/24.23 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (2115), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (1392) all_0_42_42 = e4 % 58.80/24.23 | % 58.80/24.23 | Equations (1392) can reduce 1890 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.23 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (2246), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (1790) all_0_47_47 = e4 % 58.80/24.23 | % 58.80/24.23 | Combining equations (674,1790) yields a new equation: % 58.80/24.23 | (397) e4 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (397) can reduce 49 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (252) ~ (all_0_47_47 = e4) % 58.80/24.23 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (6548), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (1101) all_0_51_51 = e4 % 58.80/24.23 | % 58.80/24.23 | Equations (1101) can reduce 464 to: % 58.80/24.23 | (110) ~ (e4 = e1) % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (458), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (459) all_0_42_42 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (459) can reduce 1380 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.23 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1381), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (430) all_0_43_43 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (430,396) yields a new equation: % 58.80/24.23 | (630) e4 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (630) can reduce 110 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (433) ~ (all_0_43_43 = e1) % 58.80/24.23 | (635) all_0_44_44 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (1414,635) yields a new equation: % 58.80/24.23 | (431) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (431) can reduce 233 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (475) ~ (all_0_51_51 = e4) % 58.80/24.23 | (842) all_0_56_56 = e4 % 58.80/24.23 | % 58.80/24.23 | Combining equations (1569,842) yields a new equation: % 58.80/24.23 | (630) e4 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (630) can reduce 110 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (549) ~ (all_0_46_46 = e1) % 58.80/24.23 | (1557) all_0_46_46 = e3 % 58.80/24.23 | % 58.80/24.23 | Equations (1557) can reduce 409 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (466) ~ (all_0_56_56 = e1) % 58.80/24.23 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.80/24.23 | % 58.80/24.23 +-Applying beta-rule and splitting (1574), into two cases. % 58.80/24.23 |-Branch one: % 58.80/24.23 | (647) all_0_57_57 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (875,647) yields a new equation: % 58.80/24.23 | (431) e1 = e0 % 58.80/24.23 | % 58.80/24.23 | Equations (431) can reduce 233 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.23 |-Branch two: % 58.80/24.23 | (1670) ~ (all_0_57_57 = e1) % 58.80/24.23 | (918) all_0_58_58 = e1 % 58.80/24.23 | % 58.80/24.23 | Combining equations (624,918) yields a new equation: % 58.80/24.23 | (616) e2 = e1 % 58.80/24.23 | % 58.80/24.23 | Simplifying 616 yields: % 58.80/24.23 | (617) e2 = e1 % 58.80/24.23 | % 58.80/24.23 | Equations (617) can reduce 122 to: % 58.80/24.23 | (266) $false % 58.80/24.23 | % 58.80/24.23 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (302) ~ (all_0_50_50 = e2) % 58.80/24.24 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (381), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (504) all_0_51_51 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (504) can reduce 1099 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (1099) ~ (all_0_51_51 = e2) % 58.80/24.24 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (1152), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (352) all_0_52_52 = e2 % 58.80/24.24 | % 58.80/24.24 | Combining equations (642,352) yields a new equation: % 58.80/24.24 | (617) e2 = e1 % 58.80/24.24 | % 58.80/24.24 | Equations (617) can reduce 122 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (342) ~ (all_0_52_52 = e2) % 58.80/24.24 | (607) all_0_53_53 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (607) can reduce 509 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 58.80/24.24 | % 58.80/24.24 | Applying alpha-rule on (825) yields: % 58.80/24.24 | (674) all_0_47_47 = e0 % 58.80/24.24 | (624) all_0_58_58 = e2 % 58.80/24.24 | (828) ~ (all_0_56_56 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (674) can reduce 198 to: % 58.80/24.24 | (358) ~ (all_0_42_42 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (624) can reduce 181 to: % 58.80/24.24 | (147) ~ (all_0_44_44 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (674) can reduce 19 to: % 58.80/24.24 | (831) ~ (all_0_46_46 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (674) can reduce 252 to: % 58.80/24.24 | (401) ~ (e4 = e0) % 58.80/24.24 | % 58.80/24.24 | Simplifying 401 yields: % 58.80/24.24 | (49) ~ (e4 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (624) can reduce 119 to: % 58.80/24.24 | (340) ~ (all_0_49_49 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (624) can reduce 10 to: % 58.80/24.24 | (509) ~ (all_0_53_53 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (624) can reduce 451 to: % 58.80/24.24 | (327) ~ (e4 = e2) % 58.80/24.24 | % 58.80/24.24 | Simplifying 327 yields: % 58.80/24.24 | (48) ~ (e4 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (624) can reduce 276 to: % 58.80/24.24 | (626) ~ (e3 = e2) % 58.80/24.24 | % 58.80/24.24 | Simplifying 626 yields: % 58.80/24.24 | (212) ~ (e3 = e2) % 58.80/24.24 | % 58.80/24.24 | From (674) and (23) follows: % 58.80/24.24 | (3148) op(e2, e2) = e0 % 58.80/24.24 | % 58.80/24.24 | From (624) and (245) follows: % 58.80/24.24 | (628) op(e0, e0) = e2 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (196), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (607) all_0_53_53 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (607) can reduce 509 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (509) ~ (all_0_53_53 = e2) % 58.80/24.24 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (165), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (794) all_0_41_41 = e0 % 58.80/24.24 | % 58.80/24.24 | Equations (794) can reduce 357 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (357) ~ (all_0_41_41 = e0) % 58.80/24.24 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (95), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (378) all_0_50_50 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (378) can reduce 221 to: % 58.80/24.24 | (85) ~ (all_0_41_41 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (378) can reduce 35 to: % 58.80/24.24 | (300) ~ (all_0_46_46 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (378) can reduce 93 to: % 58.80/24.24 | (303) ~ (all_0_55_55 = e2) % 58.80/24.24 | % 58.80/24.24 | Simplifying 303 yields: % 58.80/24.24 | (304) ~ (all_0_55_55 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (378) can reduce 759 to: % 58.80/24.24 | (122) ~ (e2 = e1) % 58.80/24.24 | % 58.80/24.24 | From (378) and (242) follows: % 58.80/24.24 | (26152) op(e1, e3) = e2 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (62), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (321) all_0_38_38 = e4 % 58.80/24.24 | % 58.80/24.24 | Combining equations (321,329) yields a new equation: % 58.80/24.24 | (481) e4 = e0 % 58.80/24.24 | % 58.80/24.24 | Simplifying 481 yields: % 58.80/24.24 | (397) e4 = e0 % 58.80/24.24 | % 58.80/24.24 | Equations (397) can reduce 49 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (325) ~ (all_0_38_38 = e4) % 58.80/24.24 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (582), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (437) all_0_41_41 = e4 % 58.80/24.24 | % 58.80/24.24 | Equations (437) can reduce 440 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (440) ~ (all_0_41_41 = e4) % 58.80/24.24 | (769) all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (769), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (770) all_0_46_46 = e4 % 58.80/24.24 | % 58.80/24.24 | Equations (770) can reduce 250 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (250) ~ (all_0_46_46 = e4) % 58.80/24.24 | (774) all_0_50_50 = e4 | all_0_55_55 = e4 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (774), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (775) all_0_50_50 = e4 % 58.80/24.24 | % 58.80/24.24 | Combining equations (378,775) yields a new equation: % 58.80/24.24 | (323) e4 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (323) can reduce 48 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (566) ~ (all_0_50_50 = e4) % 58.80/24.24 | (587) all_0_55_55 = e4 % 58.80/24.24 | % 58.80/24.24 | Equations (587) can reduce 191 to: % 58.80/24.24 | (440) ~ (all_0_41_41 = e4) % 58.80/24.24 | % 58.80/24.24 | Equations (587) can reduce 58 to: % 58.80/24.24 | (250) ~ (all_0_46_46 = e4) % 58.80/24.24 | % 58.80/24.24 | Equations (587) can reduce 304 to: % 58.80/24.24 | (48) ~ (e4 = e2) % 58.80/24.24 | % 58.80/24.24 | Equations (587) can reduce 803 to: % 58.80/24.24 | (49) ~ (e4 = e0) % 58.80/24.24 | % 58.80/24.24 | From (587) and (74) follows: % 58.80/24.24 | (589) op(e0, e3) = e4 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (6761), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (559) all_0_42_42 = e0 % 58.80/24.24 | % 58.80/24.24 | Equations (559) can reduce 358 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (358) ~ (all_0_42_42 = e0) % 58.80/24.24 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (6766), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (356) all_0_43_43 = e0 % 58.80/24.24 | % 58.80/24.24 | Combining equations (356,396) yields a new equation: % 58.80/24.24 | (397) e4 = e0 % 58.80/24.24 | % 58.80/24.24 | Equations (397) can reduce 49 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (5470) ~ (all_0_43_43 = e0) % 58.80/24.24 | (1414) all_0_44_44 = e0 % 58.80/24.24 | % 58.80/24.24 | Equations (1414) can reduce 149 to: % 58.80/24.24 | (357) ~ (all_0_41_41 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (1414) can reduce 73 to: % 58.80/24.24 | (358) ~ (all_0_42_42 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (1414) can reduce 9 to: % 58.80/24.24 | (486) ~ (all_0_49_49 = e0) % 58.80/24.24 | % 58.80/24.24 | Simplifying 486 yields: % 58.80/24.24 | (487) ~ (all_0_49_49 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (1414) can reduce 220 to: % 58.80/24.24 | (488) ~ (all_0_53_53 = e0) % 58.80/24.24 | % 58.80/24.24 | Simplifying 488 yields: % 58.80/24.24 | (247) ~ (all_0_53_53 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (1414) can reduce 1390 to: % 58.80/24.24 | (401) ~ (e4 = e0) % 58.80/24.24 | % 58.80/24.24 | Simplifying 401 yields: % 58.80/24.24 | (49) ~ (e4 = e0) % 58.80/24.24 | % 58.80/24.24 | Equations (1414) can reduce 147 to: % 58.80/24.24 | (365) ~ (e2 = e0) % 58.80/24.24 | % 58.80/24.24 | Simplifying 365 yields: % 58.80/24.24 | (128) ~ (e2 = e0) % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (216), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (629) all_0_55_55 = e1 % 58.80/24.24 | % 58.80/24.24 | Combining equations (587,629) yields a new equation: % 58.80/24.24 | (636) e4 = e1 % 58.80/24.24 | % 58.80/24.24 | Simplifying 636 yields: % 58.80/24.24 | (630) e4 = e1 % 58.80/24.24 | % 58.80/24.24 | Equations (630) can reduce 110 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (632) ~ (all_0_55_55 = e1) % 58.80/24.24 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (633), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (1569) all_0_56_56 = e1 % 58.80/24.24 | % 58.80/24.24 | Equations (1569) can reduce 236 to: % 58.80/24.24 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.24 | % 58.80/24.24 | Equations (1569) can reduce 16 to: % 58.80/24.24 | (464) ~ (all_0_51_51 = e1) % 58.80/24.24 | % 58.80/24.24 | From (1569) and (111) follows: % 58.80/24.24 | (3175) op(e0, e2) = e1 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (231), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (775) all_0_50_50 = e4 % 58.80/24.24 | % 58.80/24.24 | Combining equations (378,775) yields a new equation: % 58.80/24.24 | (323) e4 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (323) can reduce 48 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (566) ~ (all_0_50_50 = e4) % 58.80/24.24 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 58.80/24.24 | % 58.80/24.24 | Equations (378) can reduce 566 to: % 58.80/24.24 | (327) ~ (e4 = e2) % 58.80/24.24 | % 58.80/24.24 | Simplifying 327 yields: % 58.80/24.24 | (48) ~ (e4 = e2) % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (103), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (453) all_0_41_41 = e1 % 58.80/24.24 | % 58.80/24.24 | Equations (453) can reduce 214 to: % 58.80/24.24 | (4055) ~ (all_0_42_42 = e1) % 58.80/24.24 | % 58.80/24.24 | Simplifying 4055 yields: % 58.80/24.24 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.24 | % 58.80/24.24 | Equations (453) can reduce 43 to: % 58.80/24.24 | (4059) ~ (all_0_46_46 = e1) % 58.80/24.24 | % 58.80/24.24 | Simplifying 4059 yields: % 58.80/24.24 | (549) ~ (all_0_46_46 = e1) % 58.80/24.24 | % 58.80/24.24 | Equations (453) can reduce 85 to: % 58.80/24.24 | (604) ~ (e2 = e1) % 58.80/24.24 | % 58.80/24.24 | Simplifying 604 yields: % 58.80/24.24 | (122) ~ (e2 = e1) % 58.80/24.24 | % 58.80/24.24 | Equations (453) can reduce 357 to: % 58.80/24.24 | (233) ~ (e1 = e0) % 58.80/24.24 | % 58.80/24.24 | From (453) and (219) follows: % 58.80/24.24 | (12512) op(e3, e3) = e1 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (1071), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (1101) all_0_51_51 = e4 % 58.80/24.24 | % 58.80/24.24 | Equations (1101) can reduce 61 to: % 58.80/24.24 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.24 | % 58.80/24.24 | Equations (1101) can reduce 6 to: % 58.80/24.24 | (1452) ~ (all_0_53_53 = e4) % 58.80/24.24 | % 58.80/24.24 | Simplifying 1452 yields: % 58.80/24.24 | (1453) ~ (all_0_53_53 = e4) % 58.80/24.24 | % 58.80/24.24 | From (1101) and (186) follows: % 58.80/24.24 | (13720) op(e1, e2) = e4 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (168), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (415) all_0_50_50 = e3 % 58.80/24.24 | % 58.80/24.24 | Combining equations (378,415) yields a new equation: % 58.80/24.24 | (662) e3 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (662) can reduce 212 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (411) ~ (all_0_50_50 = e3) % 58.80/24.24 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (180), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (516) all_0_42_42 = e3 % 58.80/24.24 | % 58.80/24.24 | Equations (516) can reduce 1890 to: % 58.80/24.24 | (277) ~ (e4 = e3) % 58.80/24.24 | % 58.80/24.24 | Simplifying 277 yields: % 58.80/24.24 | (188) ~ (e4 = e3) % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (418), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (660) all_0_51_51 = e3 % 58.80/24.24 | % 58.80/24.24 | Combining equations (1101,660) yields a new equation: % 58.80/24.24 | (424) e4 = e3 % 58.80/24.24 | % 58.80/24.24 | Simplifying 424 yields: % 58.80/24.24 | (425) e4 = e3 % 58.80/24.24 | % 58.80/24.24 | Equations (425) can reduce 188 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (664) ~ (all_0_51_51 = e3) % 58.80/24.24 | (665) all_0_53_53 = e3 % 58.80/24.24 | % 58.80/24.24 | Equations (665) can reduce 65 to: % 58.80/24.24 | (525) ~ (all_0_49_49 = e3) % 58.80/24.24 | % 58.80/24.24 | Equations (665) can reduce 1453 to: % 58.80/24.24 | (277) ~ (e4 = e3) % 58.80/24.24 | % 58.80/24.24 | Simplifying 277 yields: % 58.80/24.24 | (188) ~ (e4 = e3) % 58.80/24.24 | % 58.80/24.24 | Equations (665) can reduce 247 to: % 58.80/24.24 | (80) ~ (e3 = e0) % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (78), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (423) all_0_45_45 = e3 % 58.80/24.24 | % 58.80/24.24 | Combining equations (423,248) yields a new equation: % 58.80/24.24 | (425) e4 = e3 % 58.80/24.24 | % 58.80/24.24 | Equations (425) can reduce 188 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (427) ~ (all_0_45_45 = e3) % 58.80/24.24 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (54), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (583) all_0_49_49 = e2 % 58.80/24.24 | % 58.80/24.24 | Equations (583) can reduce 340 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (340) ~ (all_0_49_49 = e2) % 58.80/24.24 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (428), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (1557) all_0_46_46 = e3 % 58.80/24.24 | % 58.80/24.24 | Equations (1557) can reduce 208 to: % 58.80/24.24 | (524) ~ (all_0_49_49 = e3) % 58.80/24.24 | % 58.80/24.24 | Simplifying 524 yields: % 58.80/24.24 | (525) ~ (all_0_49_49 = e3) % 58.80/24.24 | % 58.80/24.24 | From (1557) and (120) follows: % 58.80/24.24 | (697) op(e2, e3) = e3 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (586), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (974) all_0_49_49 = e4 % 58.80/24.24 | % 58.80/24.24 | Equations (974) can reduce 256 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (256) ~ (all_0_49_49 = e4) % 58.80/24.24 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (977), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (978) all_0_49_49 = e0 % 58.80/24.24 | % 58.80/24.24 | Equations (978) can reduce 487 to: % 58.80/24.24 | (266) $false % 58.80/24.24 | % 58.80/24.24 |-The branch is then unsatisfiable % 58.80/24.24 |-Branch two: % 58.80/24.24 | (487) ~ (all_0_49_49 = e0) % 58.80/24.24 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (981), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (671) all_0_49_49 = e1 % 58.80/24.24 | % 58.80/24.24 | Equations (671) can reduce 487 to: % 58.80/24.24 | (233) ~ (e1 = e0) % 58.80/24.24 | % 58.80/24.24 +-Applying beta-rule and splitting (56), into two cases. % 58.80/24.24 |-Branch one: % 58.80/24.24 | (696) unit = e2 % 58.80/24.24 | % 58.80/24.24 | From (696) and (227) follows: % 58.80/24.24 | (4284) op(e4, e2) = e4 % 58.80/24.24 | % 58.80/24.24 | From (696) and (32) follows: % 58.80/24.24 | (698) op(e2, e2) = e2 % 58.80/24.24 | % 58.80/24.24 | From (696) and (28) follows: % 58.80/24.24 | (699) op(e1, e2) = e1 % 58.80/24.24 | % 58.80/24.24 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.80/24.24 | (323) e4 = e2 % 58.80/24.24 | % 58.80/24.24 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 58.80/24.24 | (330) e2 = e0 % 58.80/24.24 | % 58.80/24.24 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 58.80/24.24 | (630) e4 = e1 % 58.80/24.24 | % 58.80/24.24 | Combining equations (323,630) yields a new equation: % 58.80/24.25 | (616) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Simplifying 616 yields: % 58.80/24.25 | (617) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (617,330) yields a new equation: % 58.80/24.25 | (546) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 546 yields: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (431) can reduce 233 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (707) ~ (unit = e2) % 58.80/24.25 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (708), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (709) unit = e4 % 58.80/24.25 | % 58.80/24.25 | From (709) and (211) follows: % 58.80/24.25 | (22527) op(e4, e1) = e1 % 58.80/24.25 | % 58.80/24.25 | From (709) and (42) follows: % 58.80/24.25 | (713) op(e0, e4) = e0 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.80/24.25 | (455) e3 = e1 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.80/24.25 | (676) e3 = e0 % 58.80/24.25 | % 58.80/24.25 | Combining equations (455,676) yields a new equation: % 58.80/24.25 | (546) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 546 yields: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (431) can reduce 233 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (724) ~ (unit = e4) % 58.80/24.25 | (725) unit = e3 | unit = e1 | unit = e0 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (725), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (726) unit = e0 % 58.80/24.25 | % 58.80/24.25 | From (726) and (15) follows: % 58.80/24.25 | (1508) op(e0, e2) = e2 % 58.80/24.25 | % 58.80/24.25 | From (726) and (42) follows: % 58.80/24.25 | (728) op(e0, e0) = e0 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 58.80/24.25 | (617) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.80/24.25 | (330) e2 = e0 % 58.80/24.25 | % 58.80/24.25 | Combining equations (330,617) yields a new equation: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (431) can reduce 233 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (734) ~ (unit = e0) % 58.80/24.25 | (735) unit = e3 | unit = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (735), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (736) unit = e1 % 58.80/24.25 | % 58.80/24.25 | From (736) and (244) follows: % 58.80/24.25 | (738) op(e1, e4) = e4 % 58.80/24.25 | % 58.80/24.25 | From (736) and (24) follows: % 58.80/24.25 | (1934) op(e1, e3) = e3 % 58.80/24.25 | % 58.80/24.25 | From (736) and (40) follows: % 58.80/24.25 | (1652) op(e3, e1) = e3 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields: % 58.80/24.25 | (425) e4 = e3 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.80/24.25 | (397) e4 = e0 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 58.80/24.25 | (662) e3 = e2 % 58.80/24.25 | % 58.80/24.25 | Combining equations (425,397) yields a new equation: % 58.80/24.25 | (675) e3 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 675 yields: % 58.80/24.25 | (676) e3 = e0 % 58.80/24.25 | % 58.80/24.25 | Combining equations (662,676) yields a new equation: % 58.80/24.25 | (391) e2 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 391 yields: % 58.80/24.25 | (330) e2 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (330) can reduce 128 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (748) ~ (unit = e1) % 58.80/24.25 | (749) unit = e3 % 58.80/24.25 | % 58.80/24.25 | From (749) and (244) follows: % 58.80/24.25 | (750) op(e3, e4) = e4 % 58.80/24.25 | % 58.80/24.25 | From (749) and (40) follows: % 58.80/24.25 | (3715) op(e3, e3) = e3 % 58.80/24.25 | % 58.80/24.25 | From (749) and (32) follows: % 58.80/24.25 | (5793) op(e2, e3) = e2 % 58.80/24.25 | % 58.80/24.25 | From (749) and (42) follows: % 58.80/24.25 | (752) op(e0, e3) = e0 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.80/24.25 | (323) e4 = e2 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 58.80/24.25 | (455) e3 = e1 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 58.80/24.25 | (662) e3 = e2 % 58.80/24.25 | % 58.80/24.25 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.80/24.25 | (397) e4 = e0 % 58.80/24.25 | % 58.80/24.25 | Combining equations (397,323) yields a new equation: % 58.80/24.25 | (330) e2 = e0 % 58.80/24.25 | % 58.80/24.25 | Combining equations (662,455) yields a new equation: % 58.80/24.25 | (616) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Simplifying 616 yields: % 58.80/24.25 | (617) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (617,330) yields a new equation: % 58.80/24.25 | (546) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 546 yields: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (431) can reduce 233 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1064) ~ (all_0_49_49 = e1) % 58.80/24.25 | (884) all_0_49_49 = e3 % 58.80/24.25 | % 58.80/24.25 | Equations (884) can reduce 525 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (409) ~ (all_0_46_46 = e3) % 58.80/24.25 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1561), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (522) all_0_47_47 = e3 % 58.80/24.25 | % 58.80/24.25 | Combining equations (522,674) yields a new equation: % 58.80/24.25 | (675) e3 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 675 yields: % 58.80/24.25 | (676) e3 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (676) can reduce 80 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1091) ~ (all_0_47_47 = e3) % 58.80/24.25 | (884) all_0_49_49 = e3 % 58.80/24.25 | % 58.80/24.25 | Equations (884) can reduce 525 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (405) ~ (all_0_42_42 = e3) % 58.80/24.25 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (152), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (1392) all_0_42_42 = e4 % 58.80/24.25 | % 58.80/24.25 | Equations (1392) can reduce 1890 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.25 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1969), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (559) all_0_42_42 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (559) can reduce 358 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (358) ~ (all_0_42_42 = e0) % 58.80/24.25 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (2510), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (459) all_0_42_42 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (459) can reduce 1380 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.25 | (516) all_0_42_42 = e3 % 58.80/24.25 | % 58.80/24.25 | Equations (516) can reduce 405 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (475) ~ (all_0_51_51 = e4) % 58.80/24.25 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (135), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (545) all_0_46_46 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (545) can reduce 549 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (549) ~ (all_0_46_46 = e1) % 58.80/24.25 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (550), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (654) all_0_47_47 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (654,674) yields a new equation: % 58.80/24.25 | (546) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Simplifying 546 yields: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (431) can reduce 233 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (462) ~ (all_0_47_47 = e1) % 58.80/24.25 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (659), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (615) all_0_48_48 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (335,615) yields a new equation: % 58.80/24.25 | (616) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Simplifying 616 yields: % 58.80/24.25 | (617) e2 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (617) can reduce 122 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (619) ~ (all_0_48_48 = e1) % 58.80/24.25 | (671) all_0_49_49 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (671) can reduce 256 to: % 58.80/24.25 | (602) ~ (e4 = e1) % 58.80/24.25 | % 58.80/24.25 | Simplifying 602 yields: % 58.80/24.25 | (110) ~ (e4 = e1) % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1294), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (565) all_0_52_52 = e4 % 58.80/24.25 | % 58.80/24.25 | Combining equations (642,565) yields a new equation: % 58.80/24.25 | (630) e4 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (630) can reduce 110 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (780) ~ (all_0_52_52 = e4) % 58.80/24.25 | (1298) all_0_53_53 = e4 % 58.80/24.25 | % 58.80/24.25 | Equations (1298) can reduce 1453 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (457) ~ (all_0_41_41 = e1) % 58.80/24.25 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (18), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (453) all_0_41_41 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (453) can reduce 457 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (457) ~ (all_0_41_41 = e1) % 58.80/24.25 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (27), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (437) all_0_41_41 = e4 % 58.80/24.25 | % 58.80/24.25 | Equations (437) can reduce 440 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (440) ~ (all_0_41_41 = e4) % 58.80/24.25 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (4049), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (794) all_0_41_41 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (794) can reduce 357 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (357) ~ (all_0_41_41 = e0) % 58.80/24.25 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (4053), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (453) all_0_41_41 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (453) can reduce 457 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (457) ~ (all_0_41_41 = e1) % 58.80/24.25 | (403) all_0_41_41 = e3 % 58.80/24.25 | % 58.80/24.25 | Equations (403) can reduce 43 to: % 58.80/24.25 | (408) ~ (all_0_46_46 = e3) % 58.80/24.25 | % 58.80/24.25 | Simplifying 408 yields: % 58.80/24.25 | (409) ~ (all_0_46_46 = e3) % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (123), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (1794) all_0_46_46 = e2 % 58.80/24.25 | % 58.80/24.25 | Equations (1794) can reduce 300 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (300) ~ (all_0_46_46 = e2) % 58.80/24.25 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1797), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (770) all_0_46_46 = e4 % 58.80/24.25 | % 58.80/24.25 | Equations (770) can reduce 250 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (250) ~ (all_0_46_46 = e4) % 58.80/24.25 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1801), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (538) all_0_46_46 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (538) can reduce 831 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (831) ~ (all_0_46_46 = e0) % 58.80/24.25 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1838), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (545) all_0_46_46 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (545) can reduce 250 to: % 58.80/24.25 | (602) ~ (e4 = e1) % 58.80/24.25 | % 58.80/24.25 | Simplifying 602 yields: % 58.80/24.25 | (110) ~ (e4 = e1) % 58.80/24.25 | % 58.80/24.25 | Equations (545) can reduce 831 to: % 58.80/24.25 | (233) ~ (e1 = e0) % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (112), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (635) all_0_44_44 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (1414,635) yields a new equation: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (431) can reduce 233 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (639) ~ (all_0_44_44 = e1) % 58.80/24.25 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (1414) can reduce 639 to: % 58.80/24.25 | (435) ~ (e1 = e0) % 58.80/24.25 | % 58.80/24.25 | Simplifying 435 yields: % 58.80/24.25 | (233) ~ (e1 = e0) % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (164), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (471) all_0_39_39 = e4 % 58.80/24.25 | % 58.80/24.25 | Combining equations (471,317) yields a new equation: % 58.80/24.25 | (322) e4 = e2 % 58.80/24.25 | % 58.80/24.25 | Simplifying 322 yields: % 58.80/24.25 | (323) e4 = e2 % 58.80/24.25 | % 58.80/24.25 | Equations (323) can reduce 48 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1377) ~ (all_0_39_39 = e4) % 58.80/24.25 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (2115), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (1392) all_0_42_42 = e4 % 58.80/24.25 | % 58.80/24.25 | Equations (1392) can reduce 1890 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1890) ~ (all_0_42_42 = e4) % 58.80/24.25 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (2246), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (1790) all_0_47_47 = e4 % 58.80/24.25 | % 58.80/24.25 | Combining equations (674,1790) yields a new equation: % 58.80/24.25 | (397) e4 = e0 % 58.80/24.25 | % 58.80/24.25 | Equations (397) can reduce 49 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (252) ~ (all_0_47_47 = e4) % 58.80/24.25 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (6548), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (1101) all_0_51_51 = e4 % 58.80/24.25 | % 58.80/24.25 | Equations (1101) can reduce 464 to: % 58.80/24.25 | (110) ~ (e4 = e1) % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (458), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (459) all_0_42_42 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (459) can reduce 1380 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (1380) ~ (all_0_42_42 = e1) % 58.80/24.25 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 58.80/24.25 | % 58.80/24.25 +-Applying beta-rule and splitting (1381), into two cases. % 58.80/24.25 |-Branch one: % 58.80/24.25 | (430) all_0_43_43 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (430,396) yields a new equation: % 58.80/24.25 | (630) e4 = e1 % 58.80/24.25 | % 58.80/24.25 | Equations (630) can reduce 110 to: % 58.80/24.25 | (266) $false % 58.80/24.25 | % 58.80/24.25 |-The branch is then unsatisfiable % 58.80/24.25 |-Branch two: % 58.80/24.25 | (433) ~ (all_0_43_43 = e1) % 58.80/24.25 | (635) all_0_44_44 = e1 % 58.80/24.25 | % 58.80/24.25 | Combining equations (1414,635) yields a new equation: % 58.80/24.25 | (431) e1 = e0 % 58.80/24.26 | % 58.80/24.26 | Equations (431) can reduce 233 to: % 58.80/24.26 | (266) $false % 58.80/24.26 | % 58.80/24.26 |-The branch is then unsatisfiable % 58.80/24.26 |-Branch two: % 58.80/24.26 | (475) ~ (all_0_51_51 = e4) % 58.80/24.26 | (842) all_0_56_56 = e4 % 58.80/24.26 | % 58.80/24.26 | Combining equations (1569,842) yields a new equation: % 58.80/24.26 | (630) e4 = e1 % 58.80/24.26 | % 58.80/24.26 | Equations (630) can reduce 110 to: % 58.80/24.26 | (266) $false % 58.80/24.26 | % 58.80/24.26 |-The branch is then unsatisfiable % 58.80/24.26 |-Branch two: % 58.80/24.26 | (549) ~ (all_0_46_46 = e1) % 58.80/24.26 | (1557) all_0_46_46 = e3 % 58.80/24.26 | % 58.80/24.26 | Equations (1557) can reduce 409 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (466) ~ (all_0_56_56 = e1) % 58.90/24.26 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (1574), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (647) all_0_57_57 = e1 % 58.90/24.26 | % 58.90/24.26 | Combining equations (875,647) yields a new equation: % 58.90/24.26 | (431) e1 = e0 % 58.90/24.26 | % 58.90/24.26 | Equations (431) can reduce 233 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (1670) ~ (all_0_57_57 = e1) % 58.90/24.26 | (918) all_0_58_58 = e1 % 58.90/24.26 | % 58.90/24.26 | Combining equations (624,918) yields a new equation: % 58.90/24.26 | (616) e2 = e1 % 58.90/24.26 | % 58.90/24.26 | Simplifying 616 yields: % 58.90/24.26 | (617) e2 = e1 % 58.90/24.26 | % 58.90/24.26 | Equations (617) can reduce 122 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (302) ~ (all_0_50_50 = e2) % 58.90/24.26 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (381), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (504) all_0_51_51 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (504) can reduce 1099 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (1099) ~ (all_0_51_51 = e2) % 58.90/24.26 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (1152), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (352) all_0_52_52 = e2 % 58.90/24.26 | % 58.90/24.26 | Combining equations (642,352) yields a new equation: % 58.90/24.26 | (617) e2 = e1 % 58.90/24.26 | % 58.90/24.26 | Equations (617) can reduce 122 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (342) ~ (all_0_52_52 = e2) % 58.90/24.26 | (607) all_0_53_53 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (607) can reduce 509 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (399) ~ (all_0_43_43 = e4) % 58.90/24.26 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (6374), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (356) all_0_43_43 = e0 % 58.90/24.26 | % 58.90/24.26 | Equations (356) can reduce 5470 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (5470) ~ (all_0_43_43 = e0) % 58.90/24.26 | (430) all_0_43_43 = e1 % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 31 to: % 58.90/24.26 | (457) ~ (all_0_41_41 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 240 to: % 58.90/24.26 | (1380) ~ (all_0_42_42 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 159 to: % 58.90/24.26 | (4057) ~ (all_0_44_44 = e1) % 58.90/24.26 | % 58.90/24.26 | Simplifying 4057 yields: % 58.90/24.26 | (639) ~ (all_0_44_44 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 217 to: % 58.90/24.26 | (3533) ~ (all_0_52_52 = e1) % 58.90/24.26 | % 58.90/24.26 | Simplifying 3533 yields: % 58.90/24.26 | (646) ~ (all_0_52_52 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 99 to: % 58.90/24.26 | (467) ~ (e3 = e1) % 58.90/24.26 | % 58.90/24.26 | Simplifying 467 yields: % 58.90/24.26 | (213) ~ (e3 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 96 to: % 58.90/24.26 | (604) ~ (e2 = e1) % 58.90/24.26 | % 58.90/24.26 | Simplifying 604 yields: % 58.90/24.26 | (122) ~ (e2 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (430) can reduce 5470 to: % 58.90/24.26 | (233) ~ (e1 = e0) % 58.90/24.26 | % 58.90/24.26 | From (430) and (37) follows: % 58.90/24.26 | (13877) op(e3, e1) = e1 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (355), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (565) all_0_52_52 = e4 % 58.90/24.26 | % 58.90/24.26 | Equations (565) can reduce 101 to: % 58.90/24.26 | (566) ~ (all_0_50_50 = e4) % 58.90/24.26 | % 58.90/24.26 | Equations (565) can reduce 166 to: % 58.90/24.26 | (188) ~ (e4 = e3) % 58.90/24.26 | % 58.90/24.26 | Equations (565) can reduce 342 to: % 58.90/24.26 | (48) ~ (e4 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (565) can reduce 646 to: % 58.90/24.26 | (110) ~ (e4 = e1) % 58.90/24.26 | % 58.90/24.26 | Equations (565) can reduce 72 to: % 58.90/24.26 | (49) ~ (e4 = e0) % 58.90/24.26 | % 58.90/24.26 | From (565) and (124) follows: % 58.90/24.26 | (570) op(e1, e1) = e4 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (95), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (378) all_0_50_50 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (378) can reduce 221 to: % 58.90/24.26 | (85) ~ (all_0_41_41 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (378) can reduce 35 to: % 58.90/24.26 | (300) ~ (all_0_46_46 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (378) can reduce 59 to: % 58.90/24.26 | (17668) ~ (all_0_51_51 = e2) % 58.90/24.26 | % 58.90/24.26 | Simplifying 17668 yields: % 58.90/24.26 | (1099) ~ (all_0_51_51 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (378) can reduce 190 to: % 58.90/24.26 | (508) ~ (all_0_53_53 = e2) % 58.90/24.26 | % 58.90/24.26 | Simplifying 508 yields: % 58.90/24.26 | (509) ~ (all_0_53_53 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (378) can reduce 566 to: % 58.90/24.26 | (327) ~ (e4 = e2) % 58.90/24.26 | % 58.90/24.26 | Simplifying 327 yields: % 58.90/24.26 | (48) ~ (e4 = e2) % 58.90/24.26 | % 58.90/24.26 | From (378) and (242) follows: % 58.90/24.26 | (26152) op(e1, e3) = e2 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (158), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (313) all_0_40_40 = e2 % 58.90/24.26 | % 58.90/24.26 | Combining equations (1378,313) yields a new equation: % 58.90/24.26 | (322) e4 = e2 % 58.90/24.26 | % 58.90/24.26 | Simplifying 322 yields: % 58.90/24.26 | (323) e4 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (323) can reduce 48 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (296) ~ (all_0_40_40 = e2) % 58.90/24.26 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (377), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (583) all_0_49_49 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (583) can reduce 340 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (340) ~ (all_0_49_49 = e2) % 58.90/24.26 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (614), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (607) all_0_53_53 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (607) can reduce 509 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (509) ~ (all_0_53_53 = e2) % 58.90/24.26 | (624) all_0_58_58 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (624) can reduce 181 to: % 58.90/24.26 | (147) ~ (all_0_44_44 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (624) can reduce 10 to: % 58.90/24.26 | (509) ~ (all_0_53_53 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (624) can reduce 3 to: % 58.90/24.26 | (304) ~ (all_0_55_55 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (624) can reduce 44 to: % 58.90/24.26 | (511) ~ (all_0_56_56 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (624) can reduce 276 to: % 58.90/24.26 | (626) ~ (e3 = e2) % 58.90/24.26 | % 58.90/24.26 | Simplifying 626 yields: % 58.90/24.26 | (212) ~ (e3 = e2) % 58.90/24.26 | % 58.90/24.26 | Equations (624) can reduce 491 to: % 58.90/24.26 | (128) ~ (e2 = e0) % 58.90/24.26 | % 58.90/24.26 | From (624) and (245) follows: % 58.90/24.26 | (628) op(e0, e0) = e2 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (168), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (415) all_0_50_50 = e3 % 58.90/24.26 | % 58.90/24.26 | Combining equations (378,415) yields a new equation: % 58.90/24.26 | (662) e3 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (662) can reduce 212 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (411) ~ (all_0_50_50 = e3) % 58.90/24.26 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.90/24.26 | % 58.90/24.26 | Equations (378) can reduce 411 to: % 58.90/24.26 | (626) ~ (e3 = e2) % 58.90/24.26 | % 58.90/24.26 | Simplifying 626 yields: % 58.90/24.26 | (212) ~ (e3 = e2) % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (144), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (403) all_0_41_41 = e3 % 58.90/24.26 | % 58.90/24.26 | Equations (403) can reduce 149 to: % 58.90/24.26 | (406) ~ (all_0_44_44 = e3) % 58.90/24.26 | % 58.90/24.26 | Simplifying 406 yields: % 58.90/24.26 | (407) ~ (all_0_44_44 = e3) % 58.90/24.26 | % 58.90/24.26 | Equations (403) can reduce 43 to: % 58.90/24.26 | (408) ~ (all_0_46_46 = e3) % 58.90/24.26 | % 58.90/24.26 | Simplifying 408 yields: % 58.90/24.26 | (409) ~ (all_0_46_46 = e3) % 58.90/24.26 | % 58.90/24.26 | Equations (403) can reduce 191 to: % 58.90/24.26 | (269) ~ (all_0_55_55 = e3) % 58.90/24.26 | % 58.90/24.26 | Simplifying 269 yields: % 58.90/24.26 | (270) ~ (all_0_55_55 = e3) % 58.90/24.26 | % 58.90/24.26 | Equations (403) can reduce 357 to: % 58.90/24.26 | (80) ~ (e3 = e0) % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (64), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (437) all_0_41_41 = e4 % 58.90/24.26 | % 58.90/24.26 | Combining equations (437,403) yields a new equation: % 58.90/24.26 | (424) e4 = e3 % 58.90/24.26 | % 58.90/24.26 | Simplifying 424 yields: % 58.90/24.26 | (425) e4 = e3 % 58.90/24.26 | % 58.90/24.26 | Equations (425) can reduce 188 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (440) ~ (all_0_41_41 = e4) % 58.90/24.26 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (441), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (1392) all_0_42_42 = e4 % 58.90/24.26 | % 58.90/24.26 | Equations (1392) can reduce 73 to: % 58.90/24.26 | (1903) ~ (all_0_44_44 = e4) % 58.90/24.26 | % 58.90/24.26 | Simplifying 1903 yields: % 58.90/24.26 | (1390) ~ (all_0_44_44 = e4) % 58.90/24.26 | % 58.90/24.26 | Equations (1392) can reduce 61 to: % 58.90/24.26 | (474) ~ (all_0_51_51 = e4) % 58.90/24.26 | % 58.90/24.26 | Simplifying 474 yields: % 58.90/24.26 | (475) ~ (all_0_51_51 = e4) % 58.90/24.26 | % 58.90/24.26 | Equations (1392) can reduce 236 to: % 58.90/24.26 | (476) ~ (all_0_56_56 = e4) % 58.90/24.26 | % 58.90/24.26 | Simplifying 476 yields: % 58.90/24.26 | (477) ~ (all_0_56_56 = e4) % 58.90/24.26 | % 58.90/24.26 | From (1392) and (210) follows: % 58.90/24.26 | (4074) op(e3, e2) = e4 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (104), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (480) all_0_39_39 = e0 % 58.90/24.26 | % 58.90/24.26 | Combining equations (480,317) yields a new equation: % 58.90/24.26 | (330) e2 = e0 % 58.90/24.26 | % 58.90/24.26 | Equations (330) can reduce 128 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (484) ~ (all_0_39_39 = e0) % 58.90/24.26 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.90/24.26 | % 58.90/24.26 | Equations (317) can reduce 484 to: % 58.90/24.26 | (128) ~ (e2 = e0) % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (26), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (446) all_0_44_44 = e4 % 58.90/24.26 | % 58.90/24.26 | Equations (446) can reduce 1390 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (1390) ~ (all_0_44_44 = e4) % 58.90/24.26 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (123), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (1794) all_0_46_46 = e2 % 58.90/24.26 | % 58.90/24.26 | Equations (1794) can reduce 300 to: % 58.90/24.26 | (266) $false % 58.90/24.26 | % 58.90/24.26 |-The branch is then unsatisfiable % 58.90/24.26 |-Branch two: % 58.90/24.26 | (300) ~ (all_0_46_46 = e2) % 58.90/24.26 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.90/24.26 | % 58.90/24.26 +-Applying beta-rule and splitting (1391), into two cases. % 58.90/24.26 |-Branch one: % 58.90/24.26 | (1414) all_0_44_44 = e0 % 58.90/24.26 | % 58.90/24.27 | Equations (1414) can reduce 220 to: % 58.90/24.27 | (488) ~ (all_0_53_53 = e0) % 58.90/24.27 | % 58.90/24.27 | Simplifying 488 yields: % 58.90/24.27 | (247) ~ (all_0_53_53 = e0) % 58.90/24.27 | % 58.90/24.27 | Equations (1414) can reduce 1390 to: % 58.90/24.27 | (401) ~ (e4 = e0) % 58.90/24.27 | % 58.90/24.27 | Simplifying 401 yields: % 58.90/24.27 | (49) ~ (e4 = e0) % 58.90/24.27 | % 58.90/24.27 | Equations (1414) can reduce 407 to: % 58.90/24.27 | (541) ~ (e3 = e0) % 58.90/24.27 | % 58.90/24.27 | Simplifying 541 yields: % 58.90/24.27 | (80) ~ (e3 = e0) % 58.90/24.27 | % 58.90/24.27 | From (1414) and (138) follows: % 58.90/24.27 | (1667) op(e3, e0) = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (133), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (833) all_0_56_56 = e2 % 58.90/24.27 | % 58.90/24.27 | Equations (833) can reduce 511 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (511) ~ (all_0_56_56 = e2) % 58.90/24.27 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (62), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (321) all_0_38_38 = e4 % 58.90/24.27 | % 58.90/24.27 | Combining equations (321,329) yields a new equation: % 58.90/24.27 | (481) e4 = e0 % 58.90/24.27 | % 58.90/24.27 | Simplifying 481 yields: % 58.90/24.27 | (397) e4 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (397) can reduce 49 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (325) ~ (all_0_38_38 = e4) % 58.90/24.27 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.90/24.27 | % 58.90/24.27 | Equations (329) can reduce 325 to: % 58.90/24.27 | (401) ~ (e4 = e0) % 58.90/24.27 | % 58.90/24.27 | Simplifying 401 yields: % 58.90/24.27 | (49) ~ (e4 = e0) % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (558), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (559) all_0_42_42 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (559,1392) yields a new equation: % 58.90/24.27 | (397) e4 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (397) can reduce 49 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (358) ~ (all_0_42_42 = e0) % 58.90/24.27 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (1797), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (770) all_0_46_46 = e4 % 58.90/24.27 | % 58.90/24.27 | Equations (770) can reduce 250 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (250) ~ (all_0_46_46 = e4) % 58.90/24.27 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (563), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (674) all_0_47_47 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (674) can reduce 19 to: % 58.90/24.27 | (831) ~ (all_0_46_46 = e0) % 58.90/24.27 | % 58.90/24.27 | Equations (674) can reduce 91 to: % 58.90/24.27 | (1181) ~ (all_0_56_56 = e0) % 58.90/24.27 | % 58.90/24.27 | Simplifying 1181 yields: % 58.90/24.27 | (828) ~ (all_0_56_56 = e0) % 58.90/24.27 | % 58.90/24.27 | From (674) and (23) follows: % 58.90/24.27 | (3148) op(e2, e2) = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (836), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (842) all_0_56_56 = e4 % 58.90/24.27 | % 58.90/24.27 | Equations (842) can reduce 477 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (477) ~ (all_0_56_56 = e4) % 58.90/24.27 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (1801), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (538) all_0_46_46 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (538) can reduce 831 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (831) ~ (all_0_46_46 = e0) % 58.90/24.27 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (845), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (679) all_0_56_56 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (679) can reduce 828 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (828) ~ (all_0_56_56 = e0) % 58.90/24.27 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (1838), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (545) all_0_46_46 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (545) can reduce 208 to: % 58.90/24.27 | (1419) ~ (all_0_49_49 = e1) % 58.90/24.27 | % 58.90/24.27 | Simplifying 1419 yields: % 58.90/24.27 | (1064) ~ (all_0_49_49 = e1) % 58.90/24.27 | % 58.90/24.27 | Equations (545) can reduce 58 to: % 58.90/24.27 | (2331) ~ (all_0_55_55 = e1) % 58.90/24.27 | % 58.90/24.27 | Simplifying 2331 yields: % 58.90/24.27 | (632) ~ (all_0_55_55 = e1) % 58.90/24.27 | % 58.90/24.27 | Equations (545) can reduce 831 to: % 58.90/24.27 | (233) ~ (e1 = e0) % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (112), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (635) all_0_44_44 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (1414,635) yields a new equation: % 58.90/24.27 | (431) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (431) can reduce 233 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (639) ~ (all_0_44_44 = e1) % 58.90/24.27 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (216), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (629) all_0_55_55 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (629) can reduce 632 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (632) ~ (all_0_55_55 = e1) % 58.90/24.27 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (174), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (386) all_0_55_55 = e2 % 58.90/24.27 | % 58.90/24.27 | Equations (386) can reduce 304 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (304) ~ (all_0_55_55 = e2) % 58.90/24.27 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (2051), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (587) all_0_55_55 = e4 % 58.90/24.27 | % 58.90/24.27 | From (587) and (74) follows: % 58.90/24.27 | (589) op(e0, e3) = e4 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (640), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (671) all_0_49_49 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (671) can reduce 1064 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (1064) ~ (all_0_49_49 = e1) % 58.90/24.27 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (3172), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (1569) all_0_56_56 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (1569) can reduce 511 to: % 58.90/24.27 | (604) ~ (e2 = e1) % 58.90/24.27 | % 58.90/24.27 | Simplifying 604 yields: % 58.90/24.27 | (122) ~ (e2 = e1) % 58.90/24.27 | % 58.90/24.27 | From (1569) and (111) follows: % 58.90/24.27 | (3175) op(e0, e2) = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (7), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (504) all_0_51_51 = e2 % 58.90/24.27 | % 58.90/24.27 | Equations (504) can reduce 1099 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (1099) ~ (all_0_51_51 = e2) % 58.90/24.27 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (2141), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (1208) all_0_53_53 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (1208) can reduce 65 to: % 58.90/24.27 | (1064) ~ (all_0_49_49 = e1) % 58.90/24.27 | % 58.90/24.27 | Equations (1208) can reduce 6 to: % 58.90/24.27 | (464) ~ (all_0_51_51 = e1) % 58.90/24.27 | % 58.90/24.27 | Equations (1208) can reduce 247 to: % 58.90/24.27 | (233) ~ (e1 = e0) % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (189), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (532) all_0_44_44 = e3 % 58.90/24.27 | % 58.90/24.27 | Combining equations (1414,532) yields a new equation: % 58.90/24.27 | (676) e3 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (676) can reduce 80 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (407) ~ (all_0_44_44 = e3) % 58.90/24.27 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (1100), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (1101) all_0_51_51 = e4 % 58.90/24.27 | % 58.90/24.27 | Equations (1101) can reduce 475 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (475) ~ (all_0_51_51 = e4) % 58.90/24.27 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (537), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (884) all_0_49_49 = e3 % 58.90/24.27 | % 58.90/24.27 | Equations (884) can reduce 1064 to: % 58.90/24.27 | (213) ~ (e3 = e1) % 58.90/24.27 | % 58.90/24.27 | From (884) and (55) follows: % 58.90/24.27 | (1581) op(e2, e0) = e3 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (418), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (660) all_0_51_51 = e3 % 58.90/24.27 | % 58.90/24.27 | From (660) and (186) follows: % 58.90/24.27 | (1552) op(e1, e2) = e3 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (56), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (696) unit = e2 % 58.90/24.27 | % 58.90/24.27 | From (696) and (227) follows: % 58.90/24.27 | (4284) op(e4, e2) = e4 % 58.90/24.27 | % 58.90/24.27 | From (696) and (40) follows: % 58.90/24.27 | (4285) op(e3, e2) = e3 % 58.90/24.27 | % 58.90/24.27 | From (696) and (32) follows: % 58.90/24.27 | (698) op(e2, e2) = e2 % 58.90/24.27 | % 58.90/24.27 | From (696) and (28) follows: % 58.90/24.27 | (699) op(e1, e2) = e1 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.90/24.27 | (323) e4 = e2 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 58.90/24.27 | (425) e4 = e3 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 58.90/24.27 | (330) e2 = e0 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 58.90/24.27 | (455) e3 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (323,425) yields a new equation: % 58.90/24.27 | (662) e3 = e2 % 58.90/24.27 | % 58.90/24.27 | Combining equations (662,455) yields a new equation: % 58.90/24.27 | (616) e2 = e1 % 58.90/24.27 | % 58.90/24.27 | Simplifying 616 yields: % 58.90/24.27 | (617) e2 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (617,330) yields a new equation: % 58.90/24.27 | (546) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Simplifying 546 yields: % 58.90/24.27 | (431) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (431) can reduce 233 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (707) ~ (unit = e2) % 58.90/24.27 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (708), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (709) unit = e4 % 58.90/24.27 | % 58.90/24.27 | From (709) and (211) follows: % 58.90/24.27 | (22527) op(e4, e1) = e1 % 58.90/24.27 | % 58.90/24.27 | From (709) and (42) follows: % 58.90/24.27 | (713) op(e0, e4) = e0 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.90/24.27 | (455) e3 = e1 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.90/24.27 | (676) e3 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (455,676) yields a new equation: % 58.90/24.27 | (546) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Simplifying 546 yields: % 58.90/24.27 | (431) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (431) can reduce 233 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (724) ~ (unit = e4) % 58.90/24.27 | (725) unit = e3 | unit = e1 | unit = e0 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (725), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (726) unit = e0 % 58.90/24.27 | % 58.90/24.27 | From (726) and (15) follows: % 58.90/24.27 | (1508) op(e0, e2) = e2 % 58.90/24.27 | % 58.90/24.27 | From (726) and (40) follows: % 58.90/24.27 | (1639) op(e3, e0) = e3 % 58.90/24.27 | % 58.90/24.27 | From (726) and (32) follows: % 58.90/24.27 | (727) op(e2, e0) = e2 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.90/24.27 | (676) e3 = e0 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 58.90/24.27 | (662) e3 = e2 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 58.90/24.27 | (617) e2 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (676,662) yields a new equation: % 58.90/24.27 | (330) e2 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (617,330) yields a new equation: % 58.90/24.27 | (546) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Simplifying 546 yields: % 58.90/24.27 | (431) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (431) can reduce 233 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (734) ~ (unit = e0) % 58.90/24.27 | (735) unit = e3 | unit = e1 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (735), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (736) unit = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (736) can reduce 734 to: % 58.90/24.27 | (233) ~ (e1 = e0) % 58.90/24.27 | % 58.90/24.27 | From (736) and (244) follows: % 58.90/24.27 | (738) op(e1, e4) = e4 % 58.90/24.27 | % 58.90/24.27 | From (736) and (15) follows: % 58.90/24.27 | (515) op(e1, e2) = e2 % 58.90/24.27 | % 58.90/24.27 | From (736) and (227) follows: % 58.90/24.27 | (739) op(e4, e1) = e4 % 58.90/24.27 | % 58.90/24.27 | From (736) and (28) follows: % 58.90/24.27 | (740) op(e1, e1) = e1 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.90/24.27 | (425) e4 = e3 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.90/24.27 | (397) e4 = e0 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.90/24.27 | (662) e3 = e2 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.90/24.27 | (630) e4 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (630,425) yields a new equation: % 58.90/24.27 | (455) e3 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (397,425) yields a new equation: % 58.90/24.27 | (676) e3 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (676,662) yields a new equation: % 58.90/24.27 | (330) e2 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (455,662) yields a new equation: % 58.90/24.27 | (617) e2 = e1 % 58.90/24.27 | % 58.90/24.27 | Combining equations (617,330) yields a new equation: % 58.90/24.27 | (546) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Simplifying 546 yields: % 58.90/24.27 | (431) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (431) can reduce 233 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (748) ~ (unit = e1) % 58.90/24.27 | (749) unit = e3 % 58.90/24.27 | % 58.90/24.27 | From (749) and (15) follows: % 58.90/24.27 | (751) op(e3, e2) = e2 % 58.90/24.27 | % 58.90/24.27 | From (749) and (28) follows: % 58.90/24.27 | (2235) op(e1, e3) = e1 % 58.90/24.27 | % 58.90/24.27 | From (749) and (42) follows: % 58.90/24.27 | (752) op(e0, e3) = e0 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 58.90/24.27 | (323) e4 = e2 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 58.90/24.27 | (617) e2 = e1 % 58.90/24.27 | % 58.90/24.27 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 58.90/24.27 | (397) e4 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (397,323) yields a new equation: % 58.90/24.27 | (330) e2 = e0 % 58.90/24.27 | % 58.90/24.27 | Combining equations (330,617) yields a new equation: % 58.90/24.27 | (431) e1 = e0 % 58.90/24.27 | % 58.90/24.27 | Equations (431) can reduce 233 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (664) ~ (all_0_51_51 = e3) % 58.90/24.27 | (665) all_0_53_53 = e3 % 58.90/24.27 | % 58.90/24.27 | Combining equations (665,1208) yields a new equation: % 58.90/24.27 | (454) e3 = e1 % 58.90/24.27 | % 58.90/24.27 | Simplifying 454 yields: % 58.90/24.27 | (455) e3 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (455) can reduce 213 to: % 58.90/24.27 | (266) $false % 58.90/24.27 | % 58.90/24.27 |-The branch is then unsatisfiable % 58.90/24.27 |-Branch two: % 58.90/24.27 | (525) ~ (all_0_49_49 = e3) % 58.90/24.27 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.90/24.27 | % 58.90/24.27 +-Applying beta-rule and splitting (1104), into two cases. % 58.90/24.27 |-Branch one: % 58.90/24.27 | (1109) all_0_51_51 = e1 % 58.90/24.27 | % 58.90/24.27 | Equations (1109) can reduce 464 to: % 58.90/24.27 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (464) ~ (all_0_51_51 = e1) % 58.90/24.28 | (660) all_0_51_51 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (660) can reduce 1099 to: % 58.90/24.28 | (212) ~ (e3 = e2) % 58.90/24.28 | % 58.90/24.28 | Equations (660) can reduce 464 to: % 58.90/24.28 | (213) ~ (e3 = e1) % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (887), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (665) all_0_53_53 = e3 % 58.90/24.28 | % 58.90/24.28 | Combining equations (665,1208) yields a new equation: % 58.90/24.28 | (454) e3 = e1 % 58.90/24.28 | % 58.90/24.28 | Simplifying 454 yields: % 58.90/24.28 | (455) e3 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (455) can reduce 213 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (903) ~ (all_0_53_53 = e3) % 58.90/24.28 | (795) all_0_58_58 = e3 % 58.90/24.28 | % 58.90/24.28 | Combining equations (624,795) yields a new equation: % 58.90/24.28 | (662) e3 = e2 % 58.90/24.28 | % 58.90/24.28 | Equations (662) can reduce 212 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (1459) ~ (all_0_53_53 = e1) % 58.90/24.28 | (918) all_0_58_58 = e1 % 58.90/24.28 | % 58.90/24.28 | Combining equations (918,624) yields a new equation: % 58.90/24.28 | (617) e2 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (617) can reduce 122 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (466) ~ (all_0_56_56 = e1) % 58.90/24.28 | (1097) all_0_56_56 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (1097) can reduce 272 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (763) ~ (all_0_55_55 = e4) % 58.90/24.28 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (2055), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (858) all_0_55_55 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (858) can reduce 803 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (803) ~ (all_0_55_55 = e0) % 58.90/24.28 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (2315), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (629) all_0_55_55 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (629) can reduce 632 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (632) ~ (all_0_55_55 = e1) % 58.90/24.28 | (2336) all_0_55_55 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (2336) can reduce 270 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (549) ~ (all_0_46_46 = e1) % 58.90/24.28 | (1557) all_0_46_46 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (1557) can reduce 409 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (678) ~ (all_0_47_47 = e0) % 58.90/24.28 | (679) all_0_56_56 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (679) can reduce 828 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (360) ~ (all_0_44_44 = e0) % 58.90/24.28 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (165), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (794) all_0_41_41 = e0 % 58.90/24.28 | % 58.90/24.28 | Combining equations (794,403) yields a new equation: % 58.90/24.28 | (676) e3 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (676) can reduce 80 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (357) ~ (all_0_41_41 = e0) % 58.90/24.28 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (75), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (485) all_0_40_40 = e0 % 58.90/24.28 | % 58.90/24.28 | Combining equations (485,1378) yields a new equation: % 58.90/24.28 | (397) e4 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (397) can reduce 49 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (1401) ~ (all_0_40_40 = e0) % 58.90/24.28 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (1748), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (1414) all_0_44_44 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (1414) can reduce 360 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (360) ~ (all_0_44_44 = e0) % 58.90/24.28 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (1760), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (978) all_0_49_49 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (978) can reduce 9 to: % 58.90/24.28 | (360) ~ (all_0_44_44 = e0) % 58.90/24.28 | % 58.90/24.28 | Equations (978) can reduce 256 to: % 58.90/24.28 | (401) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 | Simplifying 401 yields: % 58.90/24.28 | (49) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (6761), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (559) all_0_42_42 = e0 % 58.90/24.28 | % 58.90/24.28 | Combining equations (559,1392) yields a new equation: % 58.90/24.28 | (397) e4 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (397) can reduce 49 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (358) ~ (all_0_42_42 = e0) % 58.90/24.28 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (6766), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (356) all_0_43_43 = e0 % 58.90/24.28 | % 58.90/24.28 | Combining equations (356,430) yields a new equation: % 58.90/24.28 | (431) e1 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (431) can reduce 233 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (5470) ~ (all_0_43_43 = e0) % 58.90/24.28 | (1414) all_0_44_44 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (1414) can reduce 360 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (487) ~ (all_0_49_49 = e0) % 58.90/24.28 | (914) all_0_58_58 = e0 % 58.90/24.28 | % 58.90/24.28 | Combining equations (914,624) yields a new equation: % 58.90/24.28 | (330) e2 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (330) can reduce 128 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (1890) ~ (all_0_42_42 = e4) % 58.90/24.28 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (26), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (446) all_0_44_44 = e4 % 58.90/24.28 | % 58.90/24.28 | Equations (446) can reduce 1390 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (1390) ~ (all_0_44_44 = e4) % 58.90/24.28 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (1391), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (1414) all_0_44_44 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (1414) can reduce 1390 to: % 58.90/24.28 | (401) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 | Simplifying 401 yields: % 58.90/24.28 | (49) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (62), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (321) all_0_38_38 = e4 % 58.90/24.28 | % 58.90/24.28 | Combining equations (321,329) yields a new equation: % 58.90/24.28 | (481) e4 = e0 % 58.90/24.28 | % 58.90/24.28 | Simplifying 481 yields: % 58.90/24.28 | (397) e4 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (397) can reduce 49 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (325) ~ (all_0_38_38 = e4) % 58.90/24.28 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.90/24.28 | % 58.90/24.28 | Equations (329) can reduce 325 to: % 58.90/24.28 | (401) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 | Simplifying 401 yields: % 58.90/24.28 | (49) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (1891), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (396) all_0_43_43 = e4 % 58.90/24.28 | % 58.90/24.28 | Combining equations (396,430) yields a new equation: % 58.90/24.28 | (636) e4 = e1 % 58.90/24.28 | % 58.90/24.28 | Simplifying 636 yields: % 58.90/24.28 | (630) e4 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (630) can reduce 110 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (399) ~ (all_0_43_43 = e4) % 58.90/24.28 | (446) all_0_44_44 = e4 % 58.90/24.28 | % 58.90/24.28 | Combining equations (446,1414) yields a new equation: % 58.90/24.28 | (481) e4 = e0 % 58.90/24.28 | % 58.90/24.28 | Simplifying 481 yields: % 58.90/24.28 | (397) e4 = e0 % 58.90/24.28 | % 58.90/24.28 | Equations (397) can reduce 49 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (360) ~ (all_0_44_44 = e0) % 58.90/24.28 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (1417), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (635) all_0_44_44 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (635) can reduce 639 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (639) ~ (all_0_44_44 = e1) % 58.90/24.28 | (532) all_0_44_44 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (532) can reduce 407 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (1898) ~ (all_0_41_41 = e3) % 58.90/24.28 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (1923), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (1557) all_0_46_46 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (1557) can reduce 43 to: % 58.90/24.28 | (1898) ~ (all_0_41_41 = e3) % 58.90/24.28 | % 58.90/24.28 | Equations (1557) can reduce 19 to: % 58.90/24.28 | (2538) ~ (all_0_47_47 = e3) % 58.90/24.28 | % 58.90/24.28 | Simplifying 2538 yields: % 58.90/24.28 | (1091) ~ (all_0_47_47 = e3) % 58.90/24.28 | % 58.90/24.28 | Equations (1557) can reduce 208 to: % 58.90/24.28 | (524) ~ (all_0_49_49 = e3) % 58.90/24.28 | % 58.90/24.28 | Simplifying 524 yields: % 58.90/24.28 | (525) ~ (all_0_49_49 = e3) % 58.90/24.28 | % 58.90/24.28 | Equations (1557) can reduce 831 to: % 58.90/24.28 | (80) ~ (e3 = e0) % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (18), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (453) all_0_41_41 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (453) can reduce 457 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (457) ~ (all_0_41_41 = e1) % 58.90/24.28 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (27), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (437) all_0_41_41 = e4 % 58.90/24.28 | % 58.90/24.28 | Equations (437) can reduce 149 to: % 58.90/24.28 | (1903) ~ (all_0_44_44 = e4) % 58.90/24.28 | % 58.90/24.28 | Simplifying 1903 yields: % 58.90/24.28 | (1390) ~ (all_0_44_44 = e4) % 58.90/24.28 | % 58.90/24.28 | Equations (437) can reduce 191 to: % 58.90/24.28 | (1909) ~ (all_0_55_55 = e4) % 58.90/24.28 | % 58.90/24.28 | Simplifying 1909 yields: % 58.90/24.28 | (763) ~ (all_0_55_55 = e4) % 58.90/24.28 | % 58.90/24.28 | Equations (437) can reduce 1898 to: % 58.90/24.28 | (188) ~ (e4 = e3) % 58.90/24.28 | % 58.90/24.28 | Equations (437) can reduce 85 to: % 58.90/24.28 | (48) ~ (e4 = e2) % 58.90/24.28 | % 58.90/24.28 | Equations (437) can reduce 357 to: % 58.90/24.28 | (49) ~ (e4 = e0) % 58.90/24.28 | % 58.90/24.28 | From (437) and (219) follows: % 58.90/24.28 | (1913) op(e3, e3) = e4 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (174), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (386) all_0_55_55 = e2 % 58.90/24.28 | % 58.90/24.28 | Equations (386) can reduce 304 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (304) ~ (all_0_55_55 = e2) % 58.90/24.28 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (595), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (545) all_0_46_46 = e1 % 58.90/24.28 | % 58.90/24.28 | Combining equations (1557,545) yields a new equation: % 58.90/24.28 | (454) e3 = e1 % 58.90/24.28 | % 58.90/24.28 | Simplifying 454 yields: % 58.90/24.28 | (455) e3 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (455) can reduce 213 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (549) ~ (all_0_46_46 = e1) % 58.90/24.28 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (600), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (601) all_0_50_50 = e1 % 58.90/24.28 | % 58.90/24.28 | Combining equations (378,601) yields a new equation: % 58.90/24.28 | (616) e2 = e1 % 58.90/24.28 | % 58.90/24.28 | Simplifying 616 yields: % 58.90/24.28 | (617) e2 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (617) can reduce 122 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (759) ~ (all_0_50_50 = e1) % 58.90/24.28 | (629) all_0_55_55 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (629) can reduce 153 to: % 58.90/24.28 | (465) ~ (all_0_56_56 = e1) % 58.90/24.28 | % 58.90/24.28 | Simplifying 465 yields: % 58.90/24.28 | (466) ~ (all_0_56_56 = e1) % 58.90/24.28 | % 58.90/24.28 | Equations (629) can reduce 763 to: % 58.90/24.28 | (602) ~ (e4 = e1) % 58.90/24.28 | % 58.90/24.28 | Simplifying 602 yields: % 58.90/24.28 | (110) ~ (e4 = e1) % 58.90/24.28 | % 58.90/24.28 | Equations (629) can reduce 304 to: % 58.90/24.28 | (604) ~ (e2 = e1) % 58.90/24.28 | % 58.90/24.28 | Simplifying 604 yields: % 58.90/24.28 | (122) ~ (e2 = e1) % 58.90/24.28 | % 58.90/24.28 | From (629) and (74) follows: % 58.90/24.28 | (6587) op(e0, e3) = e1 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (171), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (265) all_0_54_54 = e4 % 58.90/24.28 | % 58.90/24.28 | Combining equations (268,265) yields a new equation: % 58.90/24.28 | (425) e4 = e3 % 58.90/24.28 | % 58.90/24.28 | Equations (425) can reduce 188 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (258) ~ (all_0_54_54 = e4) % 58.90/24.28 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (575), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (587) all_0_55_55 = e4 % 58.90/24.28 | % 58.90/24.28 | Combining equations (629,587) yields a new equation: % 58.90/24.28 | (630) e4 = e1 % 58.90/24.28 | % 58.90/24.28 | Equations (630) can reduce 110 to: % 58.90/24.28 | (266) $false % 58.90/24.28 | % 58.90/24.28 |-The branch is then unsatisfiable % 58.90/24.28 |-Branch two: % 58.90/24.28 | (763) ~ (all_0_55_55 = e4) % 58.90/24.28 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (764), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (842) all_0_56_56 = e4 % 58.90/24.28 | % 58.90/24.28 | Equations (842) can reduce 236 to: % 58.90/24.28 | (1890) ~ (all_0_42_42 = e4) % 58.90/24.28 | % 58.90/24.28 | Equations (842) can reduce 272 to: % 58.90/24.28 | (188) ~ (e4 = e3) % 58.90/24.28 | % 58.90/24.28 | Equations (842) can reduce 466 to: % 58.90/24.28 | (110) ~ (e4 = e1) % 58.90/24.28 | % 58.90/24.28 | From (842) and (111) follows: % 58.90/24.28 | (2154) op(e0, e2) = e4 % 58.90/24.28 | % 58.90/24.28 +-Applying beta-rule and splitting (113), into two cases. % 58.90/24.28 |-Branch one: % 58.90/24.28 | (403) all_0_41_41 = e3 % 58.90/24.28 | % 58.90/24.28 | Combining equations (437,403) yields a new equation: % 58.90/24.28 | (424) e4 = e3 % 58.90/24.28 | % 58.90/24.28 | Simplifying 424 yields: % 58.90/24.28 | (425) e4 = e3 % 58.90/24.28 | % 58.90/24.29 | Equations (425) can reduce 188 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (1898) ~ (all_0_41_41 = e3) % 58.90/24.29 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.90/24.29 | % 58.90/24.29 | Equations (437) can reduce 1898 to: % 58.90/24.29 | (188) ~ (e4 = e3) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (26), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (446) all_0_44_44 = e4 % 58.90/24.29 | % 58.90/24.29 | Equations (446) can reduce 1390 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (1390) ~ (all_0_44_44 = e4) % 58.90/24.29 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (184), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (538) all_0_46_46 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (1557,538) yields a new equation: % 58.90/24.29 | (675) e3 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 675 yields: % 58.90/24.29 | (676) e3 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (676) can reduce 80 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (831) ~ (all_0_46_46 = e0) % 58.90/24.29 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (131), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (459) all_0_42_42 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (459) can reduce 1380 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (1380) ~ (all_0_42_42 = e1) % 58.90/24.29 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (160), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (601) all_0_50_50 = e1 % 58.90/24.29 | % 58.90/24.29 | Combining equations (378,601) yields a new equation: % 58.90/24.29 | (616) e2 = e1 % 58.90/24.29 | % 58.90/24.29 | Simplifying 616 yields: % 58.90/24.29 | (617) e2 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (617) can reduce 122 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (759) ~ (all_0_50_50 = e1) % 58.90/24.29 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (180), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (516) all_0_42_42 = e3 % 58.90/24.29 | % 58.90/24.29 | Equations (516) can reduce 61 to: % 58.90/24.29 | (1925) ~ (all_0_51_51 = e3) % 58.90/24.29 | % 58.90/24.29 | Simplifying 1925 yields: % 58.90/24.29 | (664) ~ (all_0_51_51 = e3) % 58.90/24.29 | % 58.90/24.29 | Equations (516) can reduce 1380 to: % 58.90/24.29 | (213) ~ (e3 = e1) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (418), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (660) all_0_51_51 = e3 % 58.90/24.29 | % 58.90/24.29 | Equations (660) can reduce 664 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (664) ~ (all_0_51_51 = e3) % 58.90/24.29 | (665) all_0_53_53 = e3 % 58.90/24.29 | % 58.90/24.29 | Equations (665) can reduce 220 to: % 58.90/24.29 | (407) ~ (all_0_44_44 = e3) % 58.90/24.29 | % 58.90/24.29 | Equations (665) can reduce 6 to: % 58.90/24.29 | (664) ~ (all_0_51_51 = e3) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (1391), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (1414) all_0_44_44 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (1414) can reduce 9 to: % 58.90/24.29 | (486) ~ (all_0_49_49 = e0) % 58.90/24.29 | % 58.90/24.29 | Simplifying 486 yields: % 58.90/24.29 | (487) ~ (all_0_49_49 = e0) % 58.90/24.29 | % 58.90/24.29 | Equations (1414) can reduce 147 to: % 58.90/24.29 | (365) ~ (e2 = e0) % 58.90/24.29 | % 58.90/24.29 | Simplifying 365 yields: % 58.90/24.29 | (128) ~ (e2 = e0) % 58.90/24.29 | % 58.90/24.29 | Equations (1414) can reduce 639 to: % 58.90/24.29 | (435) ~ (e1 = e0) % 58.90/24.29 | % 58.90/24.29 | Simplifying 435 yields: % 58.90/24.29 | (233) ~ (e1 = e0) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (832), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (674) all_0_47_47 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (674) can reduce 86 to: % 58.90/24.29 | (486) ~ (all_0_49_49 = e0) % 58.90/24.29 | % 58.90/24.29 | Simplifying 486 yields: % 58.90/24.29 | (487) ~ (all_0_49_49 = e0) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (7), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (504) all_0_51_51 = e2 % 58.90/24.29 | % 58.90/24.29 | Equations (504) can reduce 1099 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (1099) ~ (all_0_51_51 = e2) % 58.90/24.29 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (112), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (635) all_0_44_44 = e1 % 58.90/24.29 | % 58.90/24.29 | Combining equations (635,1414) yields a new equation: % 58.90/24.29 | (546) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 546 yields: % 58.90/24.29 | (431) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (431) can reduce 233 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (639) ~ (all_0_44_44 = e1) % 58.90/24.29 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (135), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (545) all_0_46_46 = e1 % 58.90/24.29 | % 58.90/24.29 | Combining equations (1557,545) yields a new equation: % 58.90/24.29 | (454) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Simplifying 454 yields: % 58.90/24.29 | (455) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (455) can reduce 213 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (549) ~ (all_0_46_46 = e1) % 58.90/24.29 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (1557) can reduce 549 to: % 58.90/24.29 | (213) ~ (e3 = e1) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (1168), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (1109) all_0_51_51 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (1109) can reduce 664 to: % 58.90/24.29 | (467) ~ (e3 = e1) % 58.90/24.29 | % 58.90/24.29 | Simplifying 467 yields: % 58.90/24.29 | (213) ~ (e3 = e1) % 58.90/24.29 | % 58.90/24.29 | Equations (1109) can reduce 1099 to: % 58.90/24.29 | (604) ~ (e2 = e1) % 58.90/24.29 | % 58.90/24.29 | Simplifying 604 yields: % 58.90/24.29 | (122) ~ (e2 = e1) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (640), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (671) all_0_49_49 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (671) can reduce 487 to: % 58.90/24.29 | (233) ~ (e1 = e0) % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (56), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (696) unit = e2 % 58.90/24.29 | % 58.90/24.29 | From (696) and (211) follows: % 58.90/24.29 | (1612) op(e2, e1) = e1 % 58.90/24.29 | % 58.90/24.29 | From (696) and (227) follows: % 58.90/24.29 | (4284) op(e4, e2) = e4 % 58.90/24.29 | % 58.90/24.29 | From (696) and (42) follows: % 58.90/24.29 | (1613) op(e0, e2) = e0 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.90/24.29 | (323) e4 = e2 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.90/24.29 | (617) e2 = e1 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.90/24.29 | (397) e4 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (323,397) yields a new equation: % 58.90/24.29 | (391) e2 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 391 yields: % 58.90/24.29 | (330) e2 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (617,330) yields a new equation: % 58.90/24.29 | (546) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 546 yields: % 58.90/24.29 | (431) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (431) can reduce 233 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (707) ~ (unit = e2) % 58.90/24.29 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (708), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (709) unit = e4 % 58.90/24.29 | % 58.90/24.29 | From (709) and (211) follows: % 58.90/24.29 | (22527) op(e4, e1) = e1 % 58.90/24.29 | % 58.90/24.29 | From (709) and (42) follows: % 58.90/24.29 | (713) op(e0, e4) = e0 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.90/24.29 | (455) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.90/24.29 | (676) e3 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (455,676) yields a new equation: % 58.90/24.29 | (546) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 546 yields: % 58.90/24.29 | (431) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (431) can reduce 233 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (724) ~ (unit = e4) % 58.90/24.29 | (725) unit = e3 | unit = e1 | unit = e0 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (725), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (726) unit = e0 % 58.90/24.29 | % 58.90/24.29 | From (726) and (244) follows: % 58.90/24.29 | (2207) op(e0, e4) = e4 % 58.90/24.29 | % 58.90/24.29 | From (726) and (24) follows: % 58.90/24.29 | (2208) op(e0, e3) = e3 % 58.90/24.29 | % 58.90/24.29 | From (726) and (15) follows: % 58.90/24.29 | (1508) op(e0, e2) = e2 % 58.90/24.29 | % 58.90/24.29 | From (726) and (42) follows: % 58.90/24.29 | (728) op(e0, e0) = e0 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.90/24.29 | (425) e4 = e3 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 58.90/24.29 | (455) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.90/24.29 | (323) e4 = e2 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.90/24.29 | (330) e2 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (323,425) yields a new equation: % 58.90/24.29 | (662) e3 = e2 % 58.90/24.29 | % 58.90/24.29 | Combining equations (662,455) yields a new equation: % 58.90/24.29 | (616) e2 = e1 % 58.90/24.29 | % 58.90/24.29 | Simplifying 616 yields: % 58.90/24.29 | (617) e2 = e1 % 58.90/24.29 | % 58.90/24.29 | Combining equations (617,330) yields a new equation: % 58.90/24.29 | (546) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 546 yields: % 58.90/24.29 | (431) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (431) can reduce 233 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (734) ~ (unit = e0) % 58.90/24.29 | (735) unit = e3 | unit = e1 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (735), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (736) unit = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (736) can reduce 734 to: % 58.90/24.29 | (233) ~ (e1 = e0) % 58.90/24.29 | % 58.90/24.29 | From (736) and (244) follows: % 58.90/24.29 | (738) op(e1, e4) = e4 % 58.90/24.29 | % 58.90/24.29 | From (736) and (227) follows: % 58.90/24.29 | (739) op(e4, e1) = e4 % 58.90/24.29 | % 58.90/24.29 | From (736) and (40) follows: % 58.90/24.29 | (1652) op(e3, e1) = e3 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.90/24.29 | (425) e4 = e3 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 58.90/24.29 | (455) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.90/24.29 | (397) e4 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (425,397) yields a new equation: % 58.90/24.29 | (675) e3 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 675 yields: % 58.90/24.29 | (676) e3 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (676,455) yields a new equation: % 58.90/24.29 | (431) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (431) can reduce 233 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (748) ~ (unit = e1) % 58.90/24.29 | (749) unit = e3 % 58.90/24.29 | % 58.90/24.29 | From (749) and (244) follows: % 58.90/24.29 | (750) op(e3, e4) = e4 % 58.90/24.29 | % 58.90/24.29 | From (749) and (227) follows: % 58.90/24.29 | (22570) op(e4, e3) = e4 % 58.90/24.29 | % 58.90/24.29 | From (749) and (28) follows: % 58.90/24.29 | (2235) op(e1, e3) = e1 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.90/24.29 | (397) e4 = e0 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.90/24.29 | (323) e4 = e2 % 58.90/24.29 | % 58.90/24.29 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 58.90/24.29 | (617) e2 = e1 % 58.90/24.29 | % 58.90/24.29 | Combining equations (397,323) yields a new equation: % 58.90/24.29 | (330) e2 = e0 % 58.90/24.29 | % 58.90/24.29 | Combining equations (617,330) yields a new equation: % 58.90/24.29 | (546) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Simplifying 546 yields: % 58.90/24.29 | (431) e1 = e0 % 58.90/24.29 | % 58.90/24.29 | Equations (431) can reduce 233 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.90/24.29 | (1064) ~ (all_0_49_49 = e1) % 58.90/24.29 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 58.90/24.29 | % 58.90/24.29 +-Applying beta-rule and splitting (2141), into two cases. % 58.90/24.29 |-Branch one: % 58.90/24.29 | (1208) all_0_53_53 = e1 % 58.90/24.29 | % 58.90/24.29 | Combining equations (665,1208) yields a new equation: % 58.90/24.29 | (454) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Simplifying 454 yields: % 58.90/24.29 | (455) e3 = e1 % 58.90/24.29 | % 58.90/24.29 | Equations (455) can reduce 213 to: % 58.90/24.29 | (266) $false % 58.90/24.29 | % 58.90/24.29 |-The branch is then unsatisfiable % 58.90/24.29 |-Branch two: % 58.94/24.29 | (1459) ~ (all_0_53_53 = e1) % 58.94/24.29 | (918) all_0_58_58 = e1 % 58.94/24.29 | % 58.94/24.29 | Combining equations (918,624) yields a new equation: % 58.94/24.29 | (617) e2 = e1 % 58.94/24.29 | % 58.94/24.29 | Equations (617) can reduce 122 to: % 58.94/24.29 | (266) $false % 58.94/24.29 | % 58.94/24.29 |-The branch is then unsatisfiable % 58.94/24.29 |-Branch two: % 58.94/24.29 | (464) ~ (all_0_51_51 = e1) % 58.94/24.29 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.94/24.29 | % 58.94/24.29 +-Applying beta-rule and splitting (1202), into two cases. % 58.94/24.29 |-Branch one: % 58.94/24.29 | (642) all_0_52_52 = e1 % 58.94/24.29 | % 58.94/24.29 | Combining equations (565,642) yields a new equation: % 58.94/24.29 | (636) e4 = e1 % 58.94/24.29 | % 58.94/24.29 | Simplifying 636 yields: % 58.94/24.29 | (630) e4 = e1 % 58.94/24.29 | % 58.94/24.29 | Equations (630) can reduce 110 to: % 58.94/24.29 | (266) $false % 58.94/24.29 | % 58.94/24.29 |-The branch is then unsatisfiable % 58.94/24.29 |-Branch two: % 58.94/24.29 | (646) ~ (all_0_52_52 = e1) % 58.94/24.29 | (1208) all_0_53_53 = e1 % 58.94/24.29 | % 58.94/24.29 | Combining equations (1208,665) yields a new equation: % 58.94/24.29 | (455) e3 = e1 % 58.94/24.29 | % 58.94/24.29 | Equations (455) can reduce 213 to: % 58.94/24.29 | (266) $false % 58.94/24.29 | % 58.94/24.29 |-The branch is then unsatisfiable % 58.94/24.29 |-Branch two: % 58.94/24.29 | (678) ~ (all_0_47_47 = e0) % 58.94/24.29 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.29 | % 58.94/24.29 +-Applying beta-rule and splitting (1278), into two cases. % 58.94/24.29 |-Branch one: % 58.94/24.29 | (1279) all_0_48_48 = e0 % 58.94/24.29 | % 58.94/24.29 | Combining equations (335,1279) yields a new equation: % 58.94/24.29 | (391) e2 = e0 % 58.94/24.29 | % 58.94/24.29 | Simplifying 391 yields: % 58.94/24.29 | (330) e2 = e0 % 58.94/24.29 | % 58.94/24.29 | Equations (330) can reduce 128 to: % 58.94/24.29 | (266) $false % 58.94/24.29 | % 58.94/24.29 |-The branch is then unsatisfiable % 58.94/24.29 |-Branch two: % 58.94/24.29 | (1283) ~ (all_0_48_48 = e0) % 58.94/24.29 | (978) all_0_49_49 = e0 % 58.94/24.29 | % 58.94/24.29 | Equations (978) can reduce 487 to: % 58.94/24.29 | (266) $false % 58.94/24.29 | % 58.94/24.29 |-The branch is then unsatisfiable % 58.94/24.29 |-Branch two: % 58.94/24.29 | (360) ~ (all_0_44_44 = e0) % 58.94/24.29 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.94/24.29 | % 58.94/24.29 +-Applying beta-rule and splitting (112), into two cases. % 58.94/24.29 |-Branch one: % 58.94/24.29 | (635) all_0_44_44 = e1 % 58.94/24.29 | % 58.94/24.29 | Equations (635) can reduce 639 to: % 58.94/24.29 | (266) $false % 58.94/24.29 | % 58.94/24.29 |-The branch is then unsatisfiable % 58.94/24.29 |-Branch two: % 58.94/24.29 | (639) ~ (all_0_44_44 = e1) % 58.94/24.29 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 58.94/24.29 | % 58.94/24.29 +-Applying beta-rule and splitting (1417), into two cases. % 58.94/24.29 |-Branch one: % 58.94/24.29 | (635) all_0_44_44 = e1 % 58.94/24.29 | % 58.94/24.30 | Equations (635) can reduce 639 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (639) ~ (all_0_44_44 = e1) % 58.94/24.30 | (532) all_0_44_44 = e3 % 58.94/24.30 | % 58.94/24.30 | Equations (532) can reduce 407 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (405) ~ (all_0_42_42 = e3) % 58.94/24.30 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (152), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (1392) all_0_42_42 = e4 % 58.94/24.30 | % 58.94/24.30 | Equations (1392) can reduce 1890 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (1890) ~ (all_0_42_42 = e4) % 58.94/24.30 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (521), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (522) all_0_47_47 = e3 % 58.94/24.30 | % 58.94/24.30 | Equations (522) can reduce 1091 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (1091) ~ (all_0_47_47 = e3) % 58.94/24.30 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (1092), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (660) all_0_51_51 = e3 % 58.94/24.30 | % 58.94/24.30 | Equations (660) can reduce 6 to: % 58.94/24.30 | (1114) ~ (all_0_53_53 = e3) % 58.94/24.30 | % 58.94/24.30 | Simplifying 1114 yields: % 58.94/24.30 | (903) ~ (all_0_53_53 = e3) % 58.94/24.30 | % 58.94/24.30 | Equations (660) can reduce 1099 to: % 58.94/24.30 | (212) ~ (e3 = e2) % 58.94/24.30 | % 58.94/24.30 | From (660) and (186) follows: % 58.94/24.30 | (1552) op(e1, e2) = e3 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (189), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (532) all_0_44_44 = e3 % 58.94/24.30 | % 58.94/24.30 | Equations (532) can reduce 73 to: % 58.94/24.30 | (405) ~ (all_0_42_42 = e3) % 58.94/24.30 | % 58.94/24.30 | Equations (532) can reduce 220 to: % 58.94/24.30 | (1114) ~ (all_0_53_53 = e3) % 58.94/24.30 | % 58.94/24.30 | Simplifying 1114 yields: % 58.94/24.30 | (903) ~ (all_0_53_53 = e3) % 58.94/24.30 | % 58.94/24.30 | Equations (532) can reduce 639 to: % 58.94/24.30 | (213) ~ (e3 = e1) % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (1168), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (1109) all_0_51_51 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (660,1109) yields a new equation: % 58.94/24.30 | (454) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Simplifying 454 yields: % 58.94/24.30 | (455) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (455) can reduce 213 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (464) ~ (all_0_51_51 = e1) % 58.94/24.30 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (196), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (607) all_0_53_53 = e2 % 58.94/24.30 | % 58.94/24.30 | Equations (607) can reduce 509 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (509) ~ (all_0_53_53 = e2) % 58.94/24.30 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (1202), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (642) all_0_52_52 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (642,565) yields a new equation: % 58.94/24.30 | (630) e4 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (630) can reduce 110 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (646) ~ (all_0_52_52 = e1) % 58.94/24.30 | (1208) all_0_53_53 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (1208) can reduce 65 to: % 58.94/24.30 | (1064) ~ (all_0_49_49 = e1) % 58.94/24.30 | % 58.94/24.30 | Equations (1208) can reduce 903 to: % 58.94/24.30 | (467) ~ (e3 = e1) % 58.94/24.30 | % 58.94/24.30 | Simplifying 467 yields: % 58.94/24.30 | (213) ~ (e3 = e1) % 58.94/24.30 | % 58.94/24.30 | Equations (1208) can reduce 509 to: % 58.94/24.30 | (604) ~ (e2 = e1) % 58.94/24.30 | % 58.94/24.30 | Simplifying 604 yields: % 58.94/24.30 | (122) ~ (e2 = e1) % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (1969), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (559) all_0_42_42 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (559) can reduce 198 to: % 58.94/24.30 | (1402) ~ (all_0_47_47 = e0) % 58.94/24.30 | % 58.94/24.30 | Simplifying 1402 yields: % 58.94/24.30 | (678) ~ (all_0_47_47 = e0) % 58.94/24.30 | % 58.94/24.30 | Equations (559) can reduce 51 to: % 58.94/24.30 | (365) ~ (e2 = e0) % 58.94/24.30 | % 58.94/24.30 | Simplifying 365 yields: % 58.94/24.30 | (128) ~ (e2 = e0) % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (832), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (674) all_0_47_47 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (674) can reduce 678 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (678) ~ (all_0_47_47 = e0) % 58.94/24.30 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (135), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (545) all_0_46_46 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (1557,545) yields a new equation: % 58.94/24.30 | (454) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Simplifying 454 yields: % 58.94/24.30 | (455) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (455) can reduce 213 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (549) ~ (all_0_46_46 = e1) % 58.94/24.30 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (1278), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (1279) all_0_48_48 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (335,1279) yields a new equation: % 58.94/24.30 | (391) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 391 yields: % 58.94/24.30 | (330) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (330) can reduce 128 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (1283) ~ (all_0_48_48 = e0) % 58.94/24.30 | (978) all_0_49_49 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (978) can reduce 86 to: % 58.94/24.30 | (678) ~ (all_0_47_47 = e0) % 58.94/24.30 | % 58.94/24.30 | Equations (978) can reduce 1064 to: % 58.94/24.30 | (435) ~ (e1 = e0) % 58.94/24.30 | % 58.94/24.30 | Simplifying 435 yields: % 58.94/24.30 | (233) ~ (e1 = e0) % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (550), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (654) all_0_47_47 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (654) can reduce 678 to: % 58.94/24.30 | (233) ~ (e1 = e0) % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (56), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (696) unit = e2 % 58.94/24.30 | % 58.94/24.30 | From (696) and (211) follows: % 58.94/24.30 | (1612) op(e2, e1) = e1 % 58.94/24.30 | % 58.94/24.30 | From (696) and (227) follows: % 58.94/24.30 | (4284) op(e4, e2) = e4 % 58.94/24.30 | % 58.94/24.30 | From (696) and (42) follows: % 58.94/24.30 | (1613) op(e0, e2) = e0 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.94/24.30 | (323) e4 = e2 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.94/24.30 | (617) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.94/24.30 | (397) e4 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (323,397) yields a new equation: % 58.94/24.30 | (391) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 391 yields: % 58.94/24.30 | (330) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (617,330) yields a new equation: % 58.94/24.30 | (546) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 546 yields: % 58.94/24.30 | (431) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (431) can reduce 233 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (707) ~ (unit = e2) % 58.94/24.30 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (708), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (709) unit = e4 % 58.94/24.30 | % 58.94/24.30 | From (709) and (211) follows: % 58.94/24.30 | (22527) op(e4, e1) = e1 % 58.94/24.30 | % 58.94/24.30 | From (709) and (42) follows: % 58.94/24.30 | (713) op(e0, e4) = e0 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.94/24.30 | (455) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.94/24.30 | (676) e3 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (455,676) yields a new equation: % 58.94/24.30 | (546) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 546 yields: % 58.94/24.30 | (431) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (431) can reduce 233 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (724) ~ (unit = e4) % 58.94/24.30 | (725) unit = e3 | unit = e1 | unit = e0 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (725), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (726) unit = e0 % 58.94/24.30 | % 58.94/24.30 | From (726) and (244) follows: % 58.94/24.30 | (2207) op(e0, e4) = e4 % 58.94/24.30 | % 58.94/24.30 | From (726) and (24) follows: % 58.94/24.30 | (2208) op(e0, e3) = e3 % 58.94/24.30 | % 58.94/24.30 | From (726) and (15) follows: % 58.94/24.30 | (1508) op(e0, e2) = e2 % 58.94/24.30 | % 58.94/24.30 | From (726) and (42) follows: % 58.94/24.30 | (728) op(e0, e0) = e0 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.94/24.30 | (425) e4 = e3 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 58.94/24.30 | (455) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.94/24.30 | (323) e4 = e2 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 58.94/24.30 | (330) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (323,425) yields a new equation: % 58.94/24.30 | (662) e3 = e2 % 58.94/24.30 | % 58.94/24.30 | Combining equations (662,455) yields a new equation: % 58.94/24.30 | (616) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Simplifying 616 yields: % 58.94/24.30 | (617) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (617,330) yields a new equation: % 58.94/24.30 | (546) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 546 yields: % 58.94/24.30 | (431) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (431) can reduce 233 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (734) ~ (unit = e0) % 58.94/24.30 | (735) unit = e3 | unit = e1 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (735), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (736) unit = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (736) can reduce 734 to: % 58.94/24.30 | (233) ~ (e1 = e0) % 58.94/24.30 | % 58.94/24.30 | From (736) and (244) follows: % 58.94/24.30 | (738) op(e1, e4) = e4 % 58.94/24.30 | % 58.94/24.30 | From (736) and (15) follows: % 58.94/24.30 | (515) op(e1, e2) = e2 % 58.94/24.30 | % 58.94/24.30 | From (736) and (227) follows: % 58.94/24.30 | (739) op(e4, e1) = e4 % 58.94/24.30 | % 58.94/24.30 | From (736) and (28) follows: % 58.94/24.30 | (740) op(e1, e1) = e1 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.94/24.30 | (425) e4 = e3 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.94/24.30 | (397) e4 = e0 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.94/24.30 | (662) e3 = e2 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.94/24.30 | (630) e4 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (630,425) yields a new equation: % 58.94/24.30 | (455) e3 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (397,425) yields a new equation: % 58.94/24.30 | (676) e3 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (676,662) yields a new equation: % 58.94/24.30 | (330) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (455,662) yields a new equation: % 58.94/24.30 | (617) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (617,330) yields a new equation: % 58.94/24.30 | (546) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 546 yields: % 58.94/24.30 | (431) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (431) can reduce 233 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (748) ~ (unit = e1) % 58.94/24.30 | (749) unit = e3 % 58.94/24.30 | % 58.94/24.30 | From (749) and (244) follows: % 58.94/24.30 | (750) op(e3, e4) = e4 % 58.94/24.30 | % 58.94/24.30 | From (749) and (227) follows: % 58.94/24.30 | (22570) op(e4, e3) = e4 % 58.94/24.30 | % 58.94/24.30 | From (749) and (40) follows: % 58.94/24.30 | (3715) op(e3, e3) = e3 % 58.94/24.30 | % 58.94/24.30 | From (749) and (28) follows: % 58.94/24.30 | (2235) op(e1, e3) = e1 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.94/24.30 | (397) e4 = e0 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.94/24.30 | (323) e4 = e2 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.94/24.30 | (425) e4 = e3 % 58.94/24.30 | % 58.94/24.30 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 58.94/24.30 | (617) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (323,425) yields a new equation: % 58.94/24.30 | (662) e3 = e2 % 58.94/24.30 | % 58.94/24.30 | Combining equations (397,425) yields a new equation: % 58.94/24.30 | (676) e3 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (662,676) yields a new equation: % 58.94/24.30 | (391) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 391 yields: % 58.94/24.30 | (330) e2 = e0 % 58.94/24.30 | % 58.94/24.30 | Combining equations (617,330) yields a new equation: % 58.94/24.30 | (546) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Simplifying 546 yields: % 58.94/24.30 | (431) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (431) can reduce 233 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (462) ~ (all_0_47_47 = e1) % 58.94/24.30 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (659), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (615) all_0_48_48 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (335,615) yields a new equation: % 58.94/24.30 | (616) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Simplifying 616 yields: % 58.94/24.30 | (617) e2 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (617) can reduce 122 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (619) ~ (all_0_48_48 = e1) % 58.94/24.30 | (671) all_0_49_49 = e1 % 58.94/24.30 | % 58.94/24.30 | Combining equations (978,671) yields a new equation: % 58.94/24.30 | (431) e1 = e0 % 58.94/24.30 | % 58.94/24.30 | Equations (431) can reduce 233 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.30 | (358) ~ (all_0_42_42 = e0) % 58.94/24.30 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 58.94/24.30 | % 58.94/24.30 +-Applying beta-rule and splitting (2510), into two cases. % 58.94/24.30 |-Branch one: % 58.94/24.30 | (459) all_0_42_42 = e1 % 58.94/24.30 | % 58.94/24.30 | Equations (459) can reduce 1380 to: % 58.94/24.30 | (266) $false % 58.94/24.30 | % 58.94/24.30 |-The branch is then unsatisfiable % 58.94/24.30 |-Branch two: % 58.94/24.31 | (1380) ~ (all_0_42_42 = e1) % 58.94/24.31 | (516) all_0_42_42 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (516) can reduce 405 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (407) ~ (all_0_44_44 = e3) % 58.94/24.31 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (537), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (884) all_0_49_49 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (884) can reduce 525 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (525) ~ (all_0_49_49 = e3) % 58.94/24.31 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (887), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (665) all_0_53_53 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (665) can reduce 903 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (903) ~ (all_0_53_53 = e3) % 58.94/24.31 | (795) all_0_58_58 = e3 % 58.94/24.31 | % 58.94/24.31 | Combining equations (795,624) yields a new equation: % 58.94/24.31 | (661) e3 = e2 % 58.94/24.31 | % 58.94/24.31 | Simplifying 661 yields: % 58.94/24.31 | (662) e3 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (662) can reduce 212 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (664) ~ (all_0_51_51 = e3) % 58.94/24.31 | (1097) all_0_56_56 = e3 % 58.94/24.31 | % 58.94/24.31 | Combining equations (842,1097) yields a new equation: % 58.94/24.31 | (424) e4 = e3 % 58.94/24.31 | % 58.94/24.31 | Simplifying 424 yields: % 58.94/24.31 | (425) e4 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (425) can reduce 188 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (477) ~ (all_0_56_56 = e4) % 58.94/24.31 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (164), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (471) all_0_39_39 = e4 % 58.94/24.31 | % 58.94/24.31 | Combining equations (471,317) yields a new equation: % 58.94/24.31 | (322) e4 = e2 % 58.94/24.31 | % 58.94/24.31 | Simplifying 322 yields: % 58.94/24.31 | (323) e4 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (323) can reduce 48 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (1377) ~ (all_0_39_39 = e4) % 58.94/24.31 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 58.94/24.31 | % 58.94/24.31 | Equations (317) can reduce 1377 to: % 58.94/24.31 | (327) ~ (e4 = e2) % 58.94/24.31 | % 58.94/24.31 | Simplifying 327 yields: % 58.94/24.31 | (48) ~ (e4 = e2) % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (935), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (871) all_0_57_57 = e4 % 58.94/24.31 | % 58.94/24.31 | Combining equations (875,871) yields a new equation: % 58.94/24.31 | (397) e4 = e0 % 58.94/24.31 | % 58.94/24.31 | Equations (397) can reduce 49 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (839) ~ (all_0_57_57 = e4) % 58.94/24.31 | (910) all_0_58_58 = e4 % 58.94/24.31 | % 58.94/24.31 | Combining equations (624,910) yields a new equation: % 58.94/24.31 | (323) e4 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (323) can reduce 48 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (440) ~ (all_0_41_41 = e4) % 58.94/24.31 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (4049), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (794) all_0_41_41 = e0 % 58.94/24.31 | % 58.94/24.31 | Equations (794) can reduce 357 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (357) ~ (all_0_41_41 = e0) % 58.94/24.31 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (4053), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (453) all_0_41_41 = e1 % 58.94/24.31 | % 58.94/24.31 | Equations (453) can reduce 457 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (457) ~ (all_0_41_41 = e1) % 58.94/24.31 | (403) all_0_41_41 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (403) can reduce 1898 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (409) ~ (all_0_46_46 = e3) % 58.94/24.31 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (4042), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (415) all_0_50_50 = e3 % 58.94/24.31 | % 58.94/24.31 | Combining equations (378,415) yields a new equation: % 58.94/24.31 | (662) e3 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (662) can reduce 212 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (411) ~ (all_0_50_50 = e3) % 58.94/24.31 | (2336) all_0_55_55 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (2336) can reduce 270 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (302) ~ (all_0_50_50 = e2) % 58.94/24.31 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (117), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (292) all_0_38_38 = e2 % 58.94/24.31 | % 58.94/24.31 | Combining equations (292,329) yields a new equation: % 58.94/24.31 | (391) e2 = e0 % 58.94/24.31 | % 58.94/24.31 | Simplifying 391 yields: % 58.94/24.31 | (330) e2 = e0 % 58.94/24.31 | % 58.94/24.31 | Equations (330) can reduce 128 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (9600) ~ (all_0_38_38 = e2) % 58.94/24.31 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (24424), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (1794) all_0_46_46 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (1794) can reduce 300 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (300) ~ (all_0_46_46 = e2) % 58.94/24.31 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (24428), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (378) all_0_50_50 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (378) can reduce 302 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (302) ~ (all_0_50_50 = e2) % 58.94/24.31 | (386) all_0_55_55 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (386) can reduce 58 to: % 58.94/24.31 | (300) ~ (all_0_46_46 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (386) can reduce 3 to: % 58.94/24.31 | (1186) ~ (all_0_58_58 = e2) % 58.94/24.31 | % 58.94/24.31 | Simplifying 1186 yields: % 58.94/24.31 | (908) ~ (all_0_58_58 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (386) can reduce 270 to: % 58.94/24.31 | (626) ~ (e3 = e2) % 58.94/24.31 | % 58.94/24.31 | Simplifying 626 yields: % 58.94/24.31 | (212) ~ (e3 = e2) % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (158), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (313) all_0_40_40 = e2 % 58.94/24.31 | % 58.94/24.31 | Combining equations (1378,313) yields a new equation: % 58.94/24.31 | (322) e4 = e2 % 58.94/24.31 | % 58.94/24.31 | Simplifying 322 yields: % 58.94/24.31 | (323) e4 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (323) can reduce 48 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (296) ~ (all_0_40_40 = e2) % 58.94/24.31 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (1378) can reduce 296 to: % 58.94/24.31 | (48) ~ (e4 = e2) % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (62), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (321) all_0_38_38 = e4 % 58.94/24.31 | % 58.94/24.31 | Combining equations (321,329) yields a new equation: % 58.94/24.31 | (481) e4 = e0 % 58.94/24.31 | % 58.94/24.31 | Simplifying 481 yields: % 58.94/24.31 | (397) e4 = e0 % 58.94/24.31 | % 58.94/24.31 | Equations (397) can reduce 49 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (325) ~ (all_0_38_38 = e4) % 58.94/24.31 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 58.94/24.31 | % 58.94/24.31 | Equations (329) can reduce 325 to: % 58.94/24.31 | (401) ~ (e4 = e0) % 58.94/24.31 | % 58.94/24.31 | Simplifying 401 yields: % 58.94/24.31 | (49) ~ (e4 = e0) % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (171), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (265) all_0_54_54 = e4 % 58.94/24.31 | % 58.94/24.31 | Combining equations (265,268) yields a new equation: % 58.94/24.31 | (424) e4 = e3 % 58.94/24.31 | % 58.94/24.31 | Simplifying 424 yields: % 58.94/24.31 | (425) e4 = e3 % 58.94/24.31 | % 58.94/24.31 | Equations (425) can reduce 188 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (258) ~ (all_0_54_54 = e4) % 58.94/24.31 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (377), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (583) all_0_49_49 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (583) can reduce 340 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (340) ~ (all_0_49_49 = e2) % 58.94/24.31 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (575), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (587) all_0_55_55 = e4 % 58.94/24.31 | % 58.94/24.31 | Combining equations (386,587) yields a new equation: % 58.94/24.31 | (323) e4 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (323) can reduce 48 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (763) ~ (all_0_55_55 = e4) % 58.94/24.31 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (614), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (607) all_0_53_53 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (607) can reduce 220 to: % 58.94/24.31 | (147) ~ (all_0_44_44 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (607) can reduce 65 to: % 58.94/24.31 | (340) ~ (all_0_49_49 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (607) can reduce 190 to: % 58.94/24.31 | (302) ~ (all_0_50_50 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (607) can reduce 6 to: % 58.94/24.31 | (1099) ~ (all_0_51_51 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (607) can reduce 10 to: % 58.94/24.31 | (1186) ~ (all_0_58_58 = e2) % 58.94/24.31 | % 58.94/24.31 | Simplifying 1186 yields: % 58.94/24.31 | (908) ~ (all_0_58_58 = e2) % 58.94/24.31 | % 58.94/24.31 | Equations (607) can reduce 247 to: % 58.94/24.31 | (128) ~ (e2 = e0) % 58.94/24.31 | % 58.94/24.31 | From (607) and (84) follows: % 58.94/24.31 | (2566) op(e1, e0) = e2 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (108), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (624) all_0_58_58 = e2 % 58.94/24.31 | % 58.94/24.31 | Equations (624) can reduce 908 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (908) ~ (all_0_58_58 = e2) % 58.94/24.31 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (764), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (842) all_0_56_56 = e4 % 58.94/24.31 | % 58.94/24.31 | Equations (842) can reduce 236 to: % 58.94/24.31 | (1890) ~ (all_0_42_42 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (842) can reduce 16 to: % 58.94/24.31 | (475) ~ (all_0_51_51 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (842) can reduce 44 to: % 58.94/24.31 | (450) ~ (all_0_58_58 = e4) % 58.94/24.31 | % 58.94/24.31 | Simplifying 450 yields: % 58.94/24.31 | (451) ~ (all_0_58_58 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (842) can reduce 272 to: % 58.94/24.31 | (188) ~ (e4 = e3) % 58.94/24.31 | % 58.94/24.31 | From (842) and (111) follows: % 58.94/24.31 | (2154) op(e0, e2) = e4 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (216), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (629) all_0_55_55 = e1 % 58.94/24.31 | % 58.94/24.31 | Combining equations (629,386) yields a new equation: % 58.94/24.31 | (617) e2 = e1 % 58.94/24.31 | % 58.94/24.31 | Equations (617) can reduce 122 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.31 |-The branch is then unsatisfiable % 58.94/24.31 |-Branch two: % 58.94/24.31 | (632) ~ (all_0_55_55 = e1) % 58.94/24.31 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (64), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (437) all_0_41_41 = e4 % 58.94/24.31 | % 58.94/24.31 | Equations (437) can reduce 214 to: % 58.94/24.31 | (1901) ~ (all_0_42_42 = e4) % 58.94/24.31 | % 58.94/24.31 | Simplifying 1901 yields: % 58.94/24.31 | (1890) ~ (all_0_42_42 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (437) can reduce 149 to: % 58.94/24.31 | (1903) ~ (all_0_44_44 = e4) % 58.94/24.31 | % 58.94/24.31 | Simplifying 1903 yields: % 58.94/24.31 | (1390) ~ (all_0_44_44 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (437) can reduce 43 to: % 58.94/24.31 | (249) ~ (all_0_46_46 = e4) % 58.94/24.31 | % 58.94/24.31 | Simplifying 249 yields: % 58.94/24.31 | (250) ~ (all_0_46_46 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (437) can reduce 221 to: % 58.94/24.31 | (1907) ~ (all_0_50_50 = e4) % 58.94/24.31 | % 58.94/24.31 | Simplifying 1907 yields: % 58.94/24.31 | (566) ~ (all_0_50_50 = e4) % 58.94/24.31 | % 58.94/24.31 | Equations (437) can reduce 457 to: % 58.94/24.31 | (110) ~ (e4 = e1) % 58.94/24.31 | % 58.94/24.31 | Equations (437) can reduce 357 to: % 58.94/24.31 | (49) ~ (e4 = e0) % 58.94/24.31 | % 58.94/24.31 | From (437) and (219) follows: % 58.94/24.31 | (1913) op(e3, e3) = e4 % 58.94/24.31 | % 58.94/24.31 +-Applying beta-rule and splitting (633), into two cases. % 58.94/24.31 |-Branch one: % 58.94/24.31 | (1569) all_0_56_56 = e1 % 58.94/24.31 | % 58.94/24.31 | Combining equations (842,1569) yields a new equation: % 58.94/24.31 | (636) e4 = e1 % 58.94/24.31 | % 58.94/24.31 | Simplifying 636 yields: % 58.94/24.31 | (630) e4 = e1 % 58.94/24.31 | % 58.94/24.31 | Equations (630) can reduce 110 to: % 58.94/24.31 | (266) $false % 58.94/24.31 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (466) ~ (all_0_56_56 = e1) % 58.94/24.32 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (1574), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (647) all_0_57_57 = e1 % 58.94/24.32 | % 58.94/24.32 | Combining equations (647,875) yields a new equation: % 58.94/24.32 | (546) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Simplifying 546 yields: % 58.94/24.32 | (431) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (431) can reduce 233 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (1670) ~ (all_0_57_57 = e1) % 58.94/24.32 | (918) all_0_58_58 = e1 % 58.94/24.32 | % 58.94/24.32 | Equations (918) can reduce 181 to: % 58.94/24.32 | (639) ~ (all_0_44_44 = e1) % 58.94/24.32 | % 58.94/24.32 | Equations (918) can reduce 119 to: % 58.94/24.32 | (1064) ~ (all_0_49_49 = e1) % 58.94/24.32 | % 58.94/24.32 | Equations (918) can reduce 451 to: % 58.94/24.32 | (602) ~ (e4 = e1) % 58.94/24.32 | % 58.94/24.32 | Simplifying 602 yields: % 58.94/24.32 | (110) ~ (e4 = e1) % 58.94/24.32 | % 58.94/24.32 | Equations (918) can reduce 908 to: % 58.94/24.32 | (604) ~ (e2 = e1) % 58.94/24.32 | % 58.94/24.32 | Simplifying 604 yields: % 58.94/24.32 | (122) ~ (e2 = e1) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (113), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (403) all_0_41_41 = e3 % 58.94/24.32 | % 58.94/24.32 | Combining equations (403,437) yields a new equation: % 58.94/24.32 | (425) e4 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (425) can reduce 188 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (1898) ~ (all_0_41_41 = e3) % 58.94/24.32 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (437) can reduce 1898 to: % 58.94/24.32 | (188) ~ (e4 = e3) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (168), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (415) all_0_50_50 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (415) can reduce 35 to: % 58.94/24.32 | (409) ~ (all_0_46_46 = e3) % 58.94/24.32 | % 58.94/24.32 | Equations (415) can reduce 59 to: % 58.94/24.32 | (1925) ~ (all_0_51_51 = e3) % 58.94/24.32 | % 58.94/24.32 | Simplifying 1925 yields: % 58.94/24.32 | (664) ~ (all_0_51_51 = e3) % 58.94/24.32 | % 58.94/24.32 | Equations (415) can reduce 566 to: % 58.94/24.32 | (277) ~ (e4 = e3) % 58.94/24.32 | % 58.94/24.32 | Simplifying 277 yields: % 58.94/24.32 | (188) ~ (e4 = e3) % 58.94/24.32 | % 58.94/24.32 | Equations (415) can reduce 121 to: % 58.94/24.32 | (80) ~ (e3 = e0) % 58.94/24.32 | % 58.94/24.32 | From (415) and (242) follows: % 58.94/24.32 | (1934) op(e1, e3) = e3 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (7), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (504) all_0_51_51 = e2 % 58.94/24.32 | % 58.94/24.32 | Equations (504) can reduce 1099 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (1099) ~ (all_0_51_51 = e2) % 58.94/24.32 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (123), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (1794) all_0_46_46 = e2 % 58.94/24.32 | % 58.94/24.32 | Equations (1794) can reduce 300 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (300) ~ (all_0_46_46 = e2) % 58.94/24.32 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (1100), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (1101) all_0_51_51 = e4 % 58.94/24.32 | % 58.94/24.32 | Equations (1101) can reduce 475 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (475) ~ (all_0_51_51 = e4) % 58.94/24.32 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (1797), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (770) all_0_46_46 = e4 % 58.94/24.32 | % 58.94/24.32 | Equations (770) can reduce 250 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (250) ~ (all_0_46_46 = e4) % 58.94/24.32 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (1104), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (1109) all_0_51_51 = e1 % 58.94/24.32 | % 58.94/24.32 | Equations (1109) can reduce 61 to: % 58.94/24.32 | (1380) ~ (all_0_42_42 = e1) % 58.94/24.32 | % 58.94/24.32 | From (1109) and (186) follows: % 58.94/24.32 | (699) op(e1, e2) = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (1801), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (538) all_0_46_46 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (538) can reduce 831 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (831) ~ (all_0_46_46 = e0) % 58.94/24.32 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (135), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (545) all_0_46_46 = e1 % 58.94/24.32 | % 58.94/24.32 | Equations (545) can reduce 19 to: % 58.94/24.32 | (461) ~ (all_0_47_47 = e1) % 58.94/24.32 | % 58.94/24.32 | Simplifying 461 yields: % 58.94/24.32 | (462) ~ (all_0_47_47 = e1) % 58.94/24.32 | % 58.94/24.32 | Equations (545) can reduce 208 to: % 58.94/24.32 | (1419) ~ (all_0_49_49 = e1) % 58.94/24.32 | % 58.94/24.32 | Simplifying 1419 yields: % 58.94/24.32 | (1064) ~ (all_0_49_49 = e1) % 58.94/24.32 | % 58.94/24.32 | Equations (545) can reduce 409 to: % 58.94/24.32 | (467) ~ (e3 = e1) % 58.94/24.32 | % 58.94/24.32 | Simplifying 467 yields: % 58.94/24.32 | (213) ~ (e3 = e1) % 58.94/24.32 | % 58.94/24.32 | Equations (545) can reduce 831 to: % 58.94/24.32 | (233) ~ (e1 = e0) % 58.94/24.32 | % 58.94/24.32 | From (545) and (120) follows: % 58.94/24.32 | (2105) op(e2, e3) = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (78), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (423) all_0_45_45 = e3 % 58.94/24.32 | % 58.94/24.32 | Combining equations (423,248) yields a new equation: % 58.94/24.32 | (425) e4 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (425) can reduce 188 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (427) ~ (all_0_45_45 = e3) % 58.94/24.32 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (248) can reduce 427 to: % 58.94/24.32 | (188) ~ (e4 = e3) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (26), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (446) all_0_44_44 = e4 % 58.94/24.32 | % 58.94/24.32 | Equations (446) can reduce 1390 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (1390) ~ (all_0_44_44 = e4) % 58.94/24.32 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (75), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (485) all_0_40_40 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (485,1378) yields a new equation: % 58.94/24.32 | (397) e4 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (397) can reduce 49 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (1401) ~ (all_0_40_40 = e0) % 58.94/24.32 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (1378) can reduce 1401 to: % 58.94/24.32 | (49) ~ (e4 = e0) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (180), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (516) all_0_42_42 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (516) can reduce 73 to: % 58.94/24.32 | (406) ~ (all_0_44_44 = e3) % 58.94/24.32 | % 58.94/24.32 | Simplifying 406 yields: % 58.94/24.32 | (407) ~ (all_0_44_44 = e3) % 58.94/24.32 | % 58.94/24.32 | Equations (516) can reduce 198 to: % 58.94/24.32 | (2538) ~ (all_0_47_47 = e3) % 58.94/24.32 | % 58.94/24.32 | Simplifying 2538 yields: % 58.94/24.32 | (1091) ~ (all_0_47_47 = e3) % 58.94/24.32 | % 58.94/24.32 | Equations (516) can reduce 1380 to: % 58.94/24.32 | (213) ~ (e3 = e1) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (189), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (532) all_0_44_44 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (532) can reduce 407 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (407) ~ (all_0_44_44 = e3) % 58.94/24.32 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (537), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (884) all_0_49_49 = e3 % 58.94/24.32 | % 58.94/24.32 | Equations (884) can reduce 9 to: % 58.94/24.32 | (407) ~ (all_0_44_44 = e3) % 58.94/24.32 | % 58.94/24.32 | Equations (884) can reduce 86 to: % 58.94/24.32 | (1091) ~ (all_0_47_47 = e3) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (165), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (794) all_0_41_41 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (794,437) yields a new equation: % 58.94/24.32 | (397) e4 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (397) can reduce 49 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (357) ~ (all_0_41_41 = e0) % 58.94/24.32 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (104), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (480) all_0_39_39 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (480,317) yields a new equation: % 58.94/24.32 | (330) e2 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (330) can reduce 128 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (484) ~ (all_0_39_39 = e0) % 58.94/24.32 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (184), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (538) all_0_46_46 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (538,545) yields a new equation: % 58.94/24.32 | (431) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (431) can reduce 233 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (831) ~ (all_0_46_46 = e0) % 58.94/24.32 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (832), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (674) all_0_47_47 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (674) can reduce 1091 to: % 58.94/24.32 | (541) ~ (e3 = e0) % 58.94/24.32 | % 58.94/24.32 | Simplifying 541 yields: % 58.94/24.32 | (80) ~ (e3 = e0) % 58.94/24.32 | % 58.94/24.32 | Equations (674) can reduce 462 to: % 58.94/24.32 | (435) ~ (e1 = e0) % 58.94/24.32 | % 58.94/24.32 | Simplifying 435 yields: % 58.94/24.32 | (233) ~ (e1 = e0) % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (6761), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (559) all_0_42_42 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (559,516) yields a new equation: % 58.94/24.32 | (676) e3 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (676) can reduce 80 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (358) ~ (all_0_42_42 = e0) % 58.94/24.32 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (1391), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (1414) all_0_44_44 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (1414) can reduce 639 to: % 58.94/24.32 | (435) ~ (e1 = e0) % 58.94/24.32 | % 58.94/24.32 | Simplifying 435 yields: % 58.94/24.32 | (233) ~ (e1 = e0) % 58.94/24.32 | % 58.94/24.32 | From (1414) and (138) follows: % 58.94/24.32 | (1667) op(e3, e0) = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (56), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (696) unit = e2 % 58.94/24.32 | % 58.94/24.32 | From (696) and (211) follows: % 58.94/24.32 | (1612) op(e2, e1) = e1 % 58.94/24.32 | % 58.94/24.32 | From (696) and (227) follows: % 58.94/24.32 | (4284) op(e4, e2) = e4 % 58.94/24.32 | % 58.94/24.32 | From (696) and (42) follows: % 58.94/24.32 | (1613) op(e0, e2) = e0 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.94/24.32 | (323) e4 = e2 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.94/24.32 | (617) e2 = e1 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.94/24.32 | (397) e4 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (323,397) yields a new equation: % 58.94/24.32 | (391) e2 = e0 % 58.94/24.32 | % 58.94/24.32 | Simplifying 391 yields: % 58.94/24.32 | (330) e2 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (617,330) yields a new equation: % 58.94/24.32 | (546) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Simplifying 546 yields: % 58.94/24.32 | (431) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (431) can reduce 233 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (707) ~ (unit = e2) % 58.94/24.32 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (708), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (709) unit = e4 % 58.94/24.32 | % 58.94/24.32 | From (709) and (211) follows: % 58.94/24.32 | (22527) op(e4, e1) = e1 % 58.94/24.32 | % 58.94/24.32 | From (709) and (42) follows: % 58.94/24.32 | (713) op(e0, e4) = e0 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.94/24.32 | (455) e3 = e1 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.94/24.32 | (676) e3 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (455,676) yields a new equation: % 58.94/24.32 | (546) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Simplifying 546 yields: % 58.94/24.32 | (431) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (431) can reduce 233 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (724) ~ (unit = e4) % 58.94/24.32 | (725) unit = e3 | unit = e1 | unit = e0 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (725), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (726) unit = e0 % 58.94/24.32 | % 58.94/24.32 | From (726) and (244) follows: % 58.94/24.32 | (2207) op(e0, e4) = e4 % 58.94/24.32 | % 58.94/24.32 | From (726) and (15) follows: % 58.94/24.32 | (1508) op(e0, e2) = e2 % 58.94/24.32 | % 58.94/24.32 | From (726) and (40) follows: % 58.94/24.32 | (1639) op(e3, e0) = e3 % 58.94/24.32 | % 58.94/24.32 | From (726) and (28) follows: % 58.94/24.32 | (2698) op(e1, e0) = e1 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.94/24.32 | (676) e3 = e0 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 58.94/24.32 | (617) e2 = e1 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 58.94/24.32 | (425) e4 = e3 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 58.94/24.32 | (323) e4 = e2 % 58.94/24.32 | % 58.94/24.32 | Combining equations (323,425) yields a new equation: % 58.94/24.32 | (662) e3 = e2 % 58.94/24.32 | % 58.94/24.32 | Combining equations (662,676) yields a new equation: % 58.94/24.32 | (391) e2 = e0 % 58.94/24.32 | % 58.94/24.32 | Simplifying 391 yields: % 58.94/24.32 | (330) e2 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (330,617) yields a new equation: % 58.94/24.32 | (431) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (431) can reduce 233 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (734) ~ (unit = e0) % 58.94/24.32 | (735) unit = e3 | unit = e1 % 58.94/24.32 | % 58.94/24.32 +-Applying beta-rule and splitting (735), into two cases. % 58.94/24.32 |-Branch one: % 58.94/24.32 | (736) unit = e1 % 58.94/24.32 | % 58.94/24.32 | Equations (736) can reduce 734 to: % 58.94/24.32 | (233) ~ (e1 = e0) % 58.94/24.32 | % 58.94/24.32 | From (736) and (15) follows: % 58.94/24.32 | (515) op(e1, e2) = e2 % 58.94/24.32 | % 58.94/24.32 | From (736) and (209) follows: % 58.94/24.32 | (2715) op(e1, e0) = e0 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.94/24.32 | (617) e2 = e1 % 58.94/24.32 | % 58.94/24.32 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 58.94/24.32 | (330) e2 = e0 % 58.94/24.32 | % 58.94/24.32 | Combining equations (330,617) yields a new equation: % 58.94/24.32 | (431) e1 = e0 % 58.94/24.32 | % 58.94/24.32 | Equations (431) can reduce 233 to: % 58.94/24.32 | (266) $false % 58.94/24.32 | % 58.94/24.32 |-The branch is then unsatisfiable % 58.94/24.32 |-Branch two: % 58.94/24.32 | (748) ~ (unit = e1) % 58.94/24.32 | (749) unit = e3 % 58.94/24.32 | % 58.94/24.32 | From (749) and (244) follows: % 58.94/24.32 | (750) op(e3, e4) = e4 % 58.94/24.32 | % 58.94/24.32 | From (749) and (227) follows: % 58.94/24.32 | (22570) op(e4, e3) = e4 % 58.94/24.32 | % 58.94/24.32 | From (749) and (40) follows: % 58.94/24.32 | (3715) op(e3, e3) = e3 % 58.94/24.32 | % 58.94/24.32 | From (749) and (28) follows: % 58.94/24.33 | (2235) op(e1, e3) = e1 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.94/24.33 | (397) e4 = e0 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.94/24.33 | (323) e4 = e2 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.94/24.33 | (425) e4 = e3 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 58.94/24.33 | (455) e3 = e1 % 58.94/24.33 | % 58.94/24.33 | Combining equations (323,425) yields a new equation: % 58.94/24.33 | (662) e3 = e2 % 58.94/24.33 | % 58.94/24.33 | Combining equations (397,425) yields a new equation: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (676,662) yields a new equation: % 58.94/24.33 | (330) e2 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (455,662) yields a new equation: % 58.94/24.33 | (617) e2 = e1 % 58.94/24.33 | % 58.94/24.33 | Combining equations (330,617) yields a new equation: % 58.94/24.33 | (431) e1 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (431) can reduce 233 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (360) ~ (all_0_44_44 = e0) % 58.94/24.33 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (6766), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (356) all_0_43_43 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (356,430) yields a new equation: % 58.94/24.33 | (431) e1 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (431) can reduce 233 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (5470) ~ (all_0_43_43 = e0) % 58.94/24.33 | (1414) all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (1414) can reduce 360 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (678) ~ (all_0_47_47 = e0) % 58.94/24.33 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (1391), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (1414) all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (1414) can reduce 1390 to: % 58.94/24.33 | (401) ~ (e4 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 401 yields: % 58.94/24.33 | (49) ~ (e4 = e0) % 58.94/24.33 | % 58.94/24.33 | Equations (1414) can reduce 407 to: % 58.94/24.33 | (541) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 541 yields: % 58.94/24.33 | (80) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (558), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (559) all_0_42_42 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (559,516) yields a new equation: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (676) can reduce 80 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (358) ~ (all_0_42_42 = e0) % 58.94/24.33 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (563), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (674) all_0_47_47 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (674) can reduce 678 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (678) ~ (all_0_47_47 = e0) % 58.94/24.33 | (679) all_0_56_56 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (679,842) yields a new equation: % 58.94/24.33 | (397) e4 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (397) can reduce 49 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (360) ~ (all_0_44_44 = e0) % 58.94/24.33 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (1417), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (635) all_0_44_44 = e1 % 58.94/24.33 | % 58.94/24.33 | Equations (635) can reduce 639 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (639) ~ (all_0_44_44 = e1) % 58.94/24.33 | (532) all_0_44_44 = e3 % 58.94/24.33 | % 58.94/24.33 | Equations (532) can reduce 407 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (525) ~ (all_0_49_49 = e3) % 58.94/24.33 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (165), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (794) all_0_41_41 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (794,437) yields a new equation: % 58.94/24.33 | (397) e4 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (397) can reduce 49 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (357) ~ (all_0_41_41 = e0) % 58.94/24.33 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (104), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (480) all_0_39_39 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (480,317) yields a new equation: % 58.94/24.33 | (330) e2 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (330) can reduce 128 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (484) ~ (all_0_39_39 = e0) % 58.94/24.33 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (6761), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (559) all_0_42_42 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (516,559) yields a new equation: % 58.94/24.33 | (675) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Simplifying 675 yields: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (676) can reduce 80 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (358) ~ (all_0_42_42 = e0) % 58.94/24.33 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (6766), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (356) all_0_43_43 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (356,430) yields a new equation: % 58.94/24.33 | (431) e1 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (431) can reduce 233 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (5470) ~ (all_0_43_43 = e0) % 58.94/24.33 | (1414) all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (1414) can reduce 1390 to: % 58.94/24.33 | (401) ~ (e4 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 401 yields: % 58.94/24.33 | (49) ~ (e4 = e0) % 58.94/24.33 | % 58.94/24.33 | Equations (1414) can reduce 407 to: % 58.94/24.33 | (541) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 541 yields: % 58.94/24.33 | (80) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (558), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (559) all_0_42_42 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (559,516) yields a new equation: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (676) can reduce 80 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (358) ~ (all_0_42_42 = e0) % 58.94/24.33 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (428), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (1557) all_0_46_46 = e3 % 58.94/24.33 | % 58.94/24.33 | Combining equations (545,1557) yields a new equation: % 58.94/24.33 | (455) e3 = e1 % 58.94/24.33 | % 58.94/24.33 | Equations (455) can reduce 213 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (409) ~ (all_0_46_46 = e3) % 58.94/24.33 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (563), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (674) all_0_47_47 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (674) can reduce 1091 to: % 58.94/24.33 | (541) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 541 yields: % 58.94/24.33 | (80) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (1561), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (522) all_0_47_47 = e3 % 58.94/24.33 | % 58.94/24.33 | Combining equations (674,522) yields a new equation: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (676) can reduce 80 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (1091) ~ (all_0_47_47 = e3) % 58.94/24.33 | (884) all_0_49_49 = e3 % 58.94/24.33 | % 58.94/24.33 | Equations (884) can reduce 525 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (678) ~ (all_0_47_47 = e0) % 58.94/24.33 | (679) all_0_56_56 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (679,842) yields a new equation: % 58.94/24.33 | (397) e4 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (397) can reduce 49 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (405) ~ (all_0_42_42 = e3) % 58.94/24.33 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (521), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (522) all_0_47_47 = e3 % 58.94/24.33 | % 58.94/24.33 | Equations (522) can reduce 198 to: % 58.94/24.33 | (405) ~ (all_0_42_42 = e3) % 58.94/24.33 | % 58.94/24.33 | From (522) and (23) follows: % 58.94/24.33 | (531) op(e2, e2) = e3 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (189), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (532) all_0_44_44 = e3 % 58.94/24.33 | % 58.94/24.33 | Equations (532) can reduce 73 to: % 58.94/24.33 | (405) ~ (all_0_42_42 = e3) % 58.94/24.33 | % 58.94/24.33 | Equations (532) can reduce 9 to: % 58.94/24.33 | (524) ~ (all_0_49_49 = e3) % 58.94/24.33 | % 58.94/24.33 | Simplifying 524 yields: % 58.94/24.33 | (525) ~ (all_0_49_49 = e3) % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (184), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (538) all_0_46_46 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (538,545) yields a new equation: % 58.94/24.33 | (431) e1 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (431) can reduce 233 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (831) ~ (all_0_46_46 = e0) % 58.94/24.33 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (545) can reduce 831 to: % 58.94/24.33 | (233) ~ (e1 = e0) % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (165), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (794) all_0_41_41 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (794,437) yields a new equation: % 58.94/24.33 | (397) e4 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (397) can reduce 49 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (357) ~ (all_0_41_41 = e0) % 58.94/24.33 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (6761), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (559) all_0_42_42 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (559) can reduce 405 to: % 58.94/24.33 | (541) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 541 yields: % 58.94/24.33 | (80) ~ (e3 = e0) % 58.94/24.33 | % 58.94/24.33 | Equations (559) can reduce 1380 to: % 58.94/24.33 | (435) ~ (e1 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 435 yields: % 58.94/24.33 | (233) ~ (e1 = e0) % 58.94/24.33 | % 58.94/24.33 | From (559) and (210) follows: % 58.94/24.33 | (20848) op(e3, e2) = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (1748), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (1414) all_0_44_44 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (1414,532) yields a new equation: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (676) can reduce 80 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (360) ~ (all_0_44_44 = e0) % 58.94/24.33 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (1760), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (978) all_0_49_49 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (978) can reduce 1064 to: % 58.94/24.33 | (435) ~ (e1 = e0) % 58.94/24.33 | % 58.94/24.33 | Simplifying 435 yields: % 58.94/24.33 | (233) ~ (e1 = e0) % 58.94/24.33 | % 58.94/24.33 | From (978) and (55) follows: % 58.94/24.33 | (7585) op(e2, e0) = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (56), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (696) unit = e2 % 58.94/24.33 | % 58.94/24.33 | From (696) and (24) follows: % 58.94/24.33 | (697) op(e2, e3) = e3 % 58.94/24.33 | % 58.94/24.33 | From (696) and (40) follows: % 58.94/24.33 | (4285) op(e3, e2) = e3 % 58.94/24.33 | % 58.94/24.33 | From (696) and (32) follows: % 58.94/24.33 | (698) op(e2, e2) = e2 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e3, e2, e3, e0 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e0, yields: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 58.94/24.33 | (455) e3 = e1 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 58.94/24.33 | (662) e3 = e2 % 58.94/24.33 | % 58.94/24.33 | Combining equations (676,662) yields a new equation: % 58.94/24.33 | (330) e2 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (455,662) yields a new equation: % 58.94/24.33 | (617) e2 = e1 % 58.94/24.33 | % 58.94/24.33 | Combining equations (330,617) yields a new equation: % 58.94/24.33 | (431) e1 = e0 % 58.94/24.33 | % 58.94/24.33 | Equations (431) can reduce 233 to: % 58.94/24.33 | (266) $false % 58.94/24.33 | % 58.94/24.33 |-The branch is then unsatisfiable % 58.94/24.33 |-Branch two: % 58.94/24.33 | (707) ~ (unit = e2) % 58.94/24.33 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.94/24.33 | % 58.94/24.33 +-Applying beta-rule and splitting (708), into two cases. % 58.94/24.33 |-Branch one: % 58.94/24.33 | (709) unit = e4 % 58.94/24.33 | % 58.94/24.33 | From (709) and (211) follows: % 58.94/24.33 | (22527) op(e4, e1) = e1 % 58.94/24.33 | % 58.94/24.33 | From (709) and (42) follows: % 58.94/24.33 | (713) op(e0, e4) = e0 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.94/24.33 | (455) e3 = e1 % 58.94/24.33 | % 58.94/24.33 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.94/24.33 | (676) e3 = e0 % 58.94/24.33 | % 58.94/24.33 | Combining equations (455,676) yields a new equation: % 58.94/24.34 | (546) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 546 yields: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (724) ~ (unit = e4) % 58.94/24.34 | (725) unit = e3 | unit = e1 | unit = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (725), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (726) unit = e0 % 58.94/24.34 | % 58.94/24.34 | From (726) and (32) follows: % 58.94/24.34 | (727) op(e2, e0) = e2 % 58.94/24.34 | % 58.94/24.34 | From (726) and (28) follows: % 58.94/24.34 | (2698) op(e1, e0) = e1 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.94/24.34 | (330) e2 = e0 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 58.94/24.34 | (617) e2 = e1 % 58.94/24.34 | % 58.94/24.34 | Combining equations (330,617) yields a new equation: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (734) ~ (unit = e0) % 58.94/24.34 | (735) unit = e3 | unit = e1 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (735), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (736) unit = e1 % 58.94/24.34 | % 58.94/24.34 | Equations (736) can reduce 734 to: % 58.94/24.34 | (233) ~ (e1 = e0) % 58.94/24.34 | % 58.94/24.34 | From (736) and (15) follows: % 58.94/24.34 | (515) op(e1, e2) = e2 % 58.94/24.34 | % 58.94/24.34 | From (736) and (209) follows: % 58.94/24.34 | (2715) op(e1, e0) = e0 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 58.94/24.34 | (617) e2 = e1 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 58.94/24.34 | (330) e2 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (330,617) yields a new equation: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (748) ~ (unit = e1) % 58.94/24.34 | (749) unit = e3 % 58.94/24.34 | % 58.94/24.34 | From (749) and (244) follows: % 58.94/24.34 | (750) op(e3, e4) = e4 % 58.94/24.34 | % 58.94/24.34 | From (749) and (227) follows: % 58.94/24.34 | (22570) op(e4, e3) = e4 % 58.94/24.34 | % 58.94/24.34 | From (749) and (40) follows: % 58.94/24.34 | (3715) op(e3, e3) = e3 % 58.94/24.34 | % 58.94/24.34 | From (749) and (32) follows: % 58.94/24.34 | (5793) op(e2, e3) = e2 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 58.94/24.34 | (397) e4 = e0 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.94/24.34 | (323) e4 = e2 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.94/24.34 | (425) e4 = e3 % 58.94/24.34 | % 58.94/24.34 | Instantiating formula (29) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 58.94/24.34 | (617) e2 = e1 % 58.94/24.34 | % 58.94/24.34 | Combining equations (323,425) yields a new equation: % 58.94/24.34 | (662) e3 = e2 % 58.94/24.34 | % 58.94/24.34 | Combining equations (397,425) yields a new equation: % 58.94/24.34 | (676) e3 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (662,676) yields a new equation: % 58.94/24.34 | (391) e2 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 391 yields: % 58.94/24.34 | (330) e2 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (617,330) yields a new equation: % 58.94/24.34 | (546) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 546 yields: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (487) ~ (all_0_49_49 = e0) % 58.94/24.34 | (914) all_0_58_58 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (918,914) yields a new equation: % 58.94/24.34 | (546) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 546 yields: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (358) ~ (all_0_42_42 = e0) % 58.94/24.34 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1748), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (1414) all_0_44_44 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (1414,532) yields a new equation: % 58.94/24.34 | (676) e3 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (676) can reduce 80 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (360) ~ (all_0_44_44 = e0) % 58.94/24.34 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1760), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (978) all_0_49_49 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (978) can reduce 525 to: % 58.94/24.34 | (541) ~ (e3 = e0) % 58.94/24.34 | % 58.94/24.34 | Simplifying 541 yields: % 58.94/24.34 | (80) ~ (e3 = e0) % 58.94/24.34 | % 58.94/24.34 | Equations (978) can reduce 1064 to: % 58.94/24.34 | (435) ~ (e1 = e0) % 58.94/24.34 | % 58.94/24.34 | Simplifying 435 yields: % 58.94/24.34 | (233) ~ (e1 = e0) % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (6766), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (356) all_0_43_43 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (356,430) yields a new equation: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (5470) ~ (all_0_43_43 = e0) % 58.94/24.34 | (1414) all_0_44_44 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (1414,532) yields a new equation: % 58.94/24.34 | (676) e3 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (676) can reduce 80 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (487) ~ (all_0_49_49 = e0) % 58.94/24.34 | (914) all_0_58_58 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (918,914) yields a new equation: % 58.94/24.34 | (546) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 546 yields: % 58.94/24.34 | (431) e1 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (431) can reduce 233 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (407) ~ (all_0_44_44 = e3) % 58.94/24.34 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1899), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (516) all_0_42_42 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (516) can reduce 405 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (405) ~ (all_0_42_42 = e3) % 58.94/24.34 | (532) all_0_44_44 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (532) can reduce 407 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (1091) ~ (all_0_47_47 = e3) % 58.94/24.34 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1092), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (660) all_0_51_51 = e3 % 58.94/24.34 | % 58.94/24.34 | Combining equations (1109,660) yields a new equation: % 58.94/24.34 | (455) e3 = e1 % 58.94/24.34 | % 58.94/24.34 | Equations (455) can reduce 213 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (664) ~ (all_0_51_51 = e3) % 58.94/24.34 | (1097) all_0_56_56 = e3 % 58.94/24.34 | % 58.94/24.34 | Combining equations (842,1097) yields a new equation: % 58.94/24.34 | (424) e4 = e3 % 58.94/24.34 | % 58.94/24.34 | Simplifying 424 yields: % 58.94/24.34 | (425) e4 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (425) can reduce 188 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (549) ~ (all_0_46_46 = e1) % 58.94/24.34 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1838), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (545) all_0_46_46 = e1 % 58.94/24.34 | % 58.94/24.34 | Equations (545) can reduce 549 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (549) ~ (all_0_46_46 = e1) % 58.94/24.34 | (1557) all_0_46_46 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (1557) can reduce 409 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (464) ~ (all_0_51_51 = e1) % 58.94/24.34 | (660) all_0_51_51 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (660) can reduce 664 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (411) ~ (all_0_50_50 = e3) % 58.94/24.34 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (144), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (403) all_0_41_41 = e3 % 58.94/24.34 | % 58.94/24.34 | Combining equations (403,437) yields a new equation: % 58.94/24.34 | (425) e4 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (425) can reduce 188 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (1898) ~ (all_0_41_41 = e3) % 58.94/24.34 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (418), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (660) all_0_51_51 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (660) can reduce 61 to: % 58.94/24.34 | (405) ~ (all_0_42_42 = e3) % 58.94/24.34 | % 58.94/24.34 | Equations (660) can reduce 59 to: % 58.94/24.34 | (411) ~ (all_0_50_50 = e3) % 58.94/24.34 | % 58.94/24.34 | From (660) and (186) follows: % 58.94/24.34 | (1552) op(e1, e2) = e3 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1899), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (516) all_0_42_42 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (516) can reduce 405 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (405) ~ (all_0_42_42 = e3) % 58.94/24.34 | (532) all_0_44_44 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (532) can reduce 73 to: % 58.94/24.34 | (405) ~ (all_0_42_42 = e3) % 58.94/24.34 | % 58.94/24.34 | Equations (532) can reduce 147 to: % 58.94/24.34 | (212) ~ (e3 = e2) % 58.94/24.34 | % 58.94/24.34 | Equations (532) can reduce 639 to: % 58.94/24.34 | (213) ~ (e3 = e1) % 58.94/24.34 | % 58.94/24.34 | From (532) and (138) follows: % 58.94/24.34 | (1639) op(e3, e0) = e3 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (131), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (459) all_0_42_42 = e1 % 58.94/24.34 | % 58.94/24.34 | Equations (459) can reduce 1380 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (1380) ~ (all_0_42_42 = e1) % 58.94/24.34 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (75), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (485) all_0_40_40 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (485,1378) yields a new equation: % 58.94/24.34 | (397) e4 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (397) can reduce 49 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (1401) ~ (all_0_40_40 = e0) % 58.94/24.34 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (1378) can reduce 1401 to: % 58.94/24.34 | (49) ~ (e4 = e0) % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1923), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (1557) all_0_46_46 = e3 % 58.94/24.34 | % 58.94/24.34 | Equations (1557) can reduce 35 to: % 58.94/24.34 | (410) ~ (all_0_50_50 = e3) % 58.94/24.34 | % 58.94/24.34 | Simplifying 410 yields: % 58.94/24.34 | (411) ~ (all_0_50_50 = e3) % 58.94/24.34 | % 58.94/24.34 | Equations (1557) can reduce 831 to: % 58.94/24.34 | (80) ~ (e3 = e0) % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (160), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (601) all_0_50_50 = e1 % 58.94/24.34 | % 58.94/24.34 | Equations (601) can reduce 411 to: % 58.94/24.34 | (467) ~ (e3 = e1) % 58.94/24.34 | % 58.94/24.34 | Simplifying 467 yields: % 58.94/24.34 | (213) ~ (e3 = e1) % 58.94/24.34 | % 58.94/24.34 | Equations (601) can reduce 302 to: % 58.94/24.34 | (604) ~ (e2 = e1) % 58.94/24.34 | % 58.94/24.34 | Simplifying 604 yields: % 58.94/24.34 | (122) ~ (e2 = e1) % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (54), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (583) all_0_49_49 = e2 % 58.94/24.34 | % 58.94/24.34 | Equations (583) can reduce 340 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (340) ~ (all_0_49_49 = e2) % 58.94/24.34 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (165), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (794) all_0_41_41 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (437,794) yields a new equation: % 58.94/24.34 | (481) e4 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 481 yields: % 58.94/24.34 | (397) e4 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (397) can reduce 49 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (357) ~ (all_0_41_41 = e0) % 58.94/24.34 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (152), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (1392) all_0_42_42 = e4 % 58.94/24.34 | % 58.94/24.34 | Equations (1392) can reduce 1890 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (1890) ~ (all_0_42_42 = e4) % 58.94/24.34 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (135), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (545) all_0_46_46 = e1 % 58.94/24.34 | % 58.94/24.34 | Combining equations (1557,545) yields a new equation: % 58.94/24.34 | (454) e3 = e1 % 58.94/24.34 | % 58.94/24.34 | Simplifying 454 yields: % 58.94/24.34 | (455) e3 = e1 % 58.94/24.34 | % 58.94/24.34 | Equations (455) can reduce 213 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (549) ~ (all_0_46_46 = e1) % 58.94/24.34 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (1748), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (1414) all_0_44_44 = e0 % 58.94/24.34 | % 58.94/24.34 | Combining equations (532,1414) yields a new equation: % 58.94/24.34 | (675) e3 = e0 % 58.94/24.34 | % 58.94/24.34 | Simplifying 675 yields: % 58.94/24.34 | (676) e3 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (676) can reduce 80 to: % 58.94/24.34 | (266) $false % 58.94/24.34 | % 58.94/24.34 |-The branch is then unsatisfiable % 58.94/24.34 |-Branch two: % 58.94/24.34 | (360) ~ (all_0_44_44 = e0) % 58.94/24.34 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 58.94/24.34 | % 58.94/24.34 +-Applying beta-rule and splitting (6761), into two cases. % 58.94/24.34 |-Branch one: % 58.94/24.34 | (559) all_0_42_42 = e0 % 58.94/24.34 | % 58.94/24.34 | Equations (559) can reduce 198 to: % 58.94/24.34 | (1402) ~ (all_0_47_47 = e0) % 58.94/24.34 | % 58.94/24.34 | Simplifying 1402 yields: % 58.94/24.34 | (678) ~ (all_0_47_47 = e0) % 58.94/24.34 | % 58.94/24.34 | Equations (559) can reduce 405 to: % 58.94/24.34 | (541) ~ (e3 = e0) % 58.94/24.34 | % 58.94/24.34 | Simplifying 541 yields: % 58.94/24.34 | (80) ~ (e3 = e0) % 58.94/24.34 | % 58.94/24.34 | Equations (559) can reduce 51 to: % 58.94/24.34 | (365) ~ (e2 = e0) % 58.94/24.34 | % 58.94/24.34 | Simplifying 365 yields: % 58.94/24.34 | (128) ~ (e2 = e0) % 58.94/24.34 | % 58.94/24.34 | Equations (559) can reduce 1380 to: % 58.94/24.34 | (435) ~ (e1 = e0) % 58.94/24.34 | % 58.94/24.34 | Simplifying 435 yields: % 58.94/24.34 | (233) ~ (e1 = e0) % 58.94/24.34 | % 58.94/24.35 +-Applying beta-rule and splitting (3259), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (654) all_0_47_47 = e1 % 58.94/24.35 | % 58.94/24.35 | Equations (654) can reduce 86 to: % 58.94/24.35 | (1419) ~ (all_0_49_49 = e1) % 58.94/24.35 | % 58.94/24.35 | Simplifying 1419 yields: % 58.94/24.35 | (1064) ~ (all_0_49_49 = e1) % 58.94/24.35 | % 58.94/24.35 | Equations (654) can reduce 678 to: % 58.94/24.35 | (233) ~ (e1 = e0) % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (184), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (538) all_0_46_46 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (538,1557) yields a new equation: % 58.94/24.35 | (676) e3 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (676) can reduce 80 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (831) ~ (all_0_46_46 = e0) % 58.94/24.35 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (832), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (674) all_0_47_47 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (654,674) yields a new equation: % 58.94/24.35 | (546) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Simplifying 546 yields: % 58.94/24.35 | (431) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (431) can reduce 233 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (678) ~ (all_0_47_47 = e0) % 58.94/24.35 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (1278), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (1279) all_0_48_48 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (335,1279) yields a new equation: % 58.94/24.35 | (391) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Simplifying 391 yields: % 58.94/24.35 | (330) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (330) can reduce 128 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (1283) ~ (all_0_48_48 = e0) % 58.94/24.35 | (978) all_0_49_49 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (978) can reduce 340 to: % 58.94/24.35 | (365) ~ (e2 = e0) % 58.94/24.35 | % 58.94/24.35 | Simplifying 365 yields: % 58.94/24.35 | (128) ~ (e2 = e0) % 58.94/24.35 | % 58.94/24.35 | Equations (978) can reduce 1064 to: % 58.94/24.35 | (435) ~ (e1 = e0) % 58.94/24.35 | % 58.94/24.35 | Simplifying 435 yields: % 58.94/24.35 | (233) ~ (e1 = e0) % 58.94/24.35 | % 58.94/24.35 | From (978) and (55) follows: % 58.94/24.35 | (7585) op(e2, e0) = e0 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (56), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (696) unit = e2 % 58.94/24.35 | % 58.94/24.35 | From (696) and (211) follows: % 58.94/24.35 | (1612) op(e2, e1) = e1 % 58.94/24.35 | % 58.94/24.35 | From (696) and (227) follows: % 58.94/24.35 | (4284) op(e4, e2) = e4 % 58.94/24.35 | % 58.94/24.35 | From (696) and (42) follows: % 58.94/24.35 | (1613) op(e0, e2) = e0 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 58.94/24.35 | (323) e4 = e2 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 58.94/24.35 | (617) e2 = e1 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 58.94/24.35 | (397) e4 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (323,397) yields a new equation: % 58.94/24.35 | (391) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Simplifying 391 yields: % 58.94/24.35 | (330) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (617,330) yields a new equation: % 58.94/24.35 | (546) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Simplifying 546 yields: % 58.94/24.35 | (431) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (431) can reduce 233 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (707) ~ (unit = e2) % 58.94/24.35 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (708), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (709) unit = e4 % 58.94/24.35 | % 58.94/24.35 | From (709) and (211) follows: % 58.94/24.35 | (22527) op(e4, e1) = e1 % 58.94/24.35 | % 58.94/24.35 | From (709) and (42) follows: % 58.94/24.35 | (713) op(e0, e4) = e0 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 58.94/24.35 | (455) e3 = e1 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 58.94/24.35 | (676) e3 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (455,676) yields a new equation: % 58.94/24.35 | (546) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Simplifying 546 yields: % 58.94/24.35 | (431) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (431) can reduce 233 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (724) ~ (unit = e4) % 58.94/24.35 | (725) unit = e3 | unit = e1 | unit = e0 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (725), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (726) unit = e0 % 58.94/24.35 | % 58.94/24.35 | From (726) and (32) follows: % 58.94/24.35 | (727) op(e2, e0) = e2 % 58.94/24.35 | % 58.94/24.35 | From (726) and (28) follows: % 58.94/24.35 | (2698) op(e1, e0) = e1 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 58.94/24.35 | (330) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 58.94/24.35 | (617) e2 = e1 % 58.94/24.35 | % 58.94/24.35 | Combining equations (330,617) yields a new equation: % 58.94/24.35 | (431) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (431) can reduce 233 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (734) ~ (unit = e0) % 58.94/24.35 | (735) unit = e3 | unit = e1 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (735), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (736) unit = e1 % 58.94/24.35 | % 58.94/24.35 | Equations (736) can reduce 734 to: % 58.94/24.35 | (233) ~ (e1 = e0) % 58.94/24.35 | % 58.94/24.35 | From (736) and (244) follows: % 58.94/24.35 | (738) op(e1, e4) = e4 % 58.94/24.35 | % 58.94/24.35 | From (736) and (15) follows: % 58.94/24.35 | (515) op(e1, e2) = e2 % 58.94/24.35 | % 58.94/24.35 | From (736) and (227) follows: % 58.94/24.35 | (739) op(e4, e1) = e4 % 58.94/24.35 | % 58.94/24.35 | From (736) and (28) follows: % 58.94/24.35 | (740) op(e1, e1) = e1 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 58.94/24.35 | (425) e4 = e3 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 58.94/24.35 | (397) e4 = e0 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 58.94/24.35 | (662) e3 = e2 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 58.94/24.35 | (630) e4 = e1 % 58.94/24.35 | % 58.94/24.35 | Combining equations (630,425) yields a new equation: % 58.94/24.35 | (455) e3 = e1 % 58.94/24.35 | % 58.94/24.35 | Combining equations (397,425) yields a new equation: % 58.94/24.35 | (676) e3 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (676,662) yields a new equation: % 58.94/24.35 | (330) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (455,662) yields a new equation: % 58.94/24.35 | (617) e2 = e1 % 58.94/24.35 | % 58.94/24.35 | Combining equations (617,330) yields a new equation: % 58.94/24.35 | (546) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Simplifying 546 yields: % 58.94/24.35 | (431) e1 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (431) can reduce 233 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (748) ~ (unit = e1) % 58.94/24.35 | (749) unit = e3 % 58.94/24.35 | % 58.94/24.35 | From (749) and (244) follows: % 58.94/24.35 | (750) op(e3, e4) = e4 % 58.94/24.35 | % 58.94/24.35 | From (749) and (209) follows: % 58.94/24.35 | (1667) op(e3, e0) = e0 % 58.94/24.35 | % 58.94/24.35 | From (749) and (40) follows: % 58.94/24.35 | (3715) op(e3, e3) = e3 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 58.94/24.35 | (323) e4 = e2 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 58.94/24.35 | (425) e4 = e3 % 58.94/24.35 | % 58.94/24.35 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 58.94/24.35 | (676) e3 = e0 % 58.94/24.35 | % 58.94/24.35 | Combining equations (425,323) yields a new equation: % 58.94/24.35 | (661) e3 = e2 % 58.94/24.35 | % 58.94/24.35 | Simplifying 661 yields: % 58.94/24.35 | (662) e3 = e2 % 58.94/24.35 | % 58.94/24.35 | Combining equations (676,662) yields a new equation: % 58.94/24.35 | (330) e2 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (330) can reduce 128 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (462) ~ (all_0_47_47 = e1) % 58.94/24.35 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (1760), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (978) all_0_49_49 = e0 % 58.94/24.35 | % 58.94/24.35 | Equations (978) can reduce 1064 to: % 58.94/24.35 | (435) ~ (e1 = e0) % 58.94/24.35 | % 58.94/24.35 | Simplifying 435 yields: % 58.94/24.35 | (233) ~ (e1 = e0) % 58.94/24.35 | % 58.94/24.35 +-Applying beta-rule and splitting (550), into two cases. % 58.94/24.35 |-Branch one: % 58.94/24.35 | (654) all_0_47_47 = e1 % 58.94/24.35 | % 58.94/24.35 | Equations (654) can reduce 462 to: % 58.94/24.35 | (266) $false % 58.94/24.35 | % 58.94/24.35 |-The branch is then unsatisfiable % 58.94/24.35 |-Branch two: % 58.94/24.35 | (462) ~ (all_0_47_47 = e1) % 58.94/24.35 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 58.94/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (659), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (615) all_0_48_48 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (335,615) yields a new equation: % 59.02/24.35 | (616) e2 = e1 % 59.02/24.35 | % 59.02/24.35 | Simplifying 616 yields: % 59.02/24.35 | (617) e2 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (617) can reduce 122 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (619) ~ (all_0_48_48 = e1) % 59.02/24.35 | (671) all_0_49_49 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (978,671) yields a new equation: % 59.02/24.35 | (431) e1 = e0 % 59.02/24.35 | % 59.02/24.35 | Equations (431) can reduce 233 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (487) ~ (all_0_49_49 = e0) % 59.02/24.35 | (914) all_0_58_58 = e0 % 59.02/24.35 | % 59.02/24.35 | Combining equations (914,918) yields a new equation: % 59.02/24.35 | (431) e1 = e0 % 59.02/24.35 | % 59.02/24.35 | Equations (431) can reduce 233 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (358) ~ (all_0_42_42 = e0) % 59.02/24.35 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (1969), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (559) all_0_42_42 = e0 % 59.02/24.35 | % 59.02/24.35 | Equations (559) can reduce 358 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (358) ~ (all_0_42_42 = e0) % 59.02/24.35 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (2510), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (459) all_0_42_42 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (459) can reduce 1380 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.35 | (516) all_0_42_42 = e3 % 59.02/24.35 | % 59.02/24.35 | Equations (516) can reduce 405 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (759) ~ (all_0_50_50 = e1) % 59.02/24.35 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (18), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (453) all_0_41_41 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (453,437) yields a new equation: % 59.02/24.35 | (630) e4 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (630) can reduce 110 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (457) ~ (all_0_41_41 = e1) % 59.02/24.35 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (135), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (545) all_0_46_46 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (1557,545) yields a new equation: % 59.02/24.35 | (454) e3 = e1 % 59.02/24.35 | % 59.02/24.35 | Simplifying 454 yields: % 59.02/24.35 | (455) e3 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (455) can reduce 213 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (549) ~ (all_0_46_46 = e1) % 59.02/24.35 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (1557) can reduce 549 to: % 59.02/24.35 | (213) ~ (e3 = e1) % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (1168), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (1109) all_0_51_51 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (660,1109) yields a new equation: % 59.02/24.35 | (454) e3 = e1 % 59.02/24.35 | % 59.02/24.35 | Simplifying 454 yields: % 59.02/24.35 | (455) e3 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (455) can reduce 213 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (464) ~ (all_0_51_51 = e1) % 59.02/24.35 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (660) can reduce 464 to: % 59.02/24.35 | (213) ~ (e3 = e1) % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (595), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (545) all_0_46_46 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (1557,545) yields a new equation: % 59.02/24.35 | (454) e3 = e1 % 59.02/24.35 | % 59.02/24.35 | Simplifying 454 yields: % 59.02/24.35 | (455) e3 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (455) can reduce 213 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (549) ~ (all_0_46_46 = e1) % 59.02/24.35 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (600), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (601) all_0_50_50 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (601) can reduce 759 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (759) ~ (all_0_50_50 = e1) % 59.02/24.35 | (629) all_0_55_55 = e1 % 59.02/24.35 | % 59.02/24.35 | Combining equations (629,386) yields a new equation: % 59.02/24.35 | (617) e2 = e1 % 59.02/24.35 | % 59.02/24.35 | Equations (617) can reduce 122 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (409) ~ (all_0_46_46 = e3) % 59.02/24.35 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.02/24.35 | % 59.02/24.35 +-Applying beta-rule and splitting (4042), into two cases. % 59.02/24.35 |-Branch one: % 59.02/24.35 | (415) all_0_50_50 = e3 % 59.02/24.35 | % 59.02/24.35 | Equations (415) can reduce 411 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (411) ~ (all_0_50_50 = e3) % 59.02/24.35 | (2336) all_0_55_55 = e3 % 59.02/24.35 | % 59.02/24.35 | Combining equations (386,2336) yields a new equation: % 59.02/24.35 | (662) e3 = e2 % 59.02/24.35 | % 59.02/24.35 | Equations (662) can reduce 212 to: % 59.02/24.35 | (266) $false % 59.02/24.35 | % 59.02/24.35 |-The branch is then unsatisfiable % 59.02/24.35 |-Branch two: % 59.02/24.35 | (664) ~ (all_0_51_51 = e3) % 59.02/24.36 | (665) all_0_53_53 = e3 % 59.02/24.36 | % 59.02/24.36 | Combining equations (607,665) yields a new equation: % 59.02/24.36 | (662) e3 = e2 % 59.02/24.36 | % 59.02/24.36 | Equations (662) can reduce 212 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (440) ~ (all_0_41_41 = e4) % 59.02/24.36 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (27), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (437) all_0_41_41 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (437) can reduce 440 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (440) ~ (all_0_41_41 = e4) % 59.02/24.36 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (4049), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (794) all_0_41_41 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (794) can reduce 357 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (357) ~ (all_0_41_41 = e0) % 59.02/24.36 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (4053), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (453) all_0_41_41 = e1 % 59.02/24.36 | % 59.02/24.36 | Equations (453) can reduce 457 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (457) ~ (all_0_41_41 = e1) % 59.02/24.36 | (403) all_0_41_41 = e3 % 59.02/24.36 | % 59.02/24.36 | Equations (403) can reduce 149 to: % 59.02/24.36 | (406) ~ (all_0_44_44 = e3) % 59.02/24.36 | % 59.02/24.36 | Simplifying 406 yields: % 59.02/24.36 | (407) ~ (all_0_44_44 = e3) % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (26), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (446) all_0_44_44 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (446) can reduce 1390 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (1390) ~ (all_0_44_44 = e4) % 59.02/24.36 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (189), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (532) all_0_44_44 = e3 % 59.02/24.36 | % 59.02/24.36 | Equations (532) can reduce 407 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (407) ~ (all_0_44_44 = e3) % 59.02/24.36 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (1391), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (1414) all_0_44_44 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (1414) can reduce 181 to: % 59.02/24.36 | (490) ~ (all_0_58_58 = e0) % 59.02/24.36 | % 59.02/24.36 | Simplifying 490 yields: % 59.02/24.36 | (491) ~ (all_0_58_58 = e0) % 59.02/24.36 | % 59.02/24.36 | Equations (1414) can reduce 1390 to: % 59.02/24.36 | (401) ~ (e4 = e0) % 59.02/24.36 | % 59.02/24.36 | Simplifying 401 yields: % 59.02/24.36 | (49) ~ (e4 = e0) % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (441), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (1392) all_0_42_42 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (1392) can reduce 1890 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (1890) ~ (all_0_42_42 = e4) % 59.02/24.36 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (909), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (910) all_0_58_58 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (910) can reduce 451 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (451) ~ (all_0_58_58 = e4) % 59.02/24.36 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (913), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (914) all_0_58_58 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (914) can reduce 491 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (491) ~ (all_0_58_58 = e0) % 59.02/24.36 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (917), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (918) all_0_58_58 = e1 % 59.02/24.36 | % 59.02/24.36 | Equations (918) can reduce 451 to: % 59.02/24.36 | (602) ~ (e4 = e1) % 59.02/24.36 | % 59.02/24.36 | Simplifying 602 yields: % 59.02/24.36 | (110) ~ (e4 = e1) % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (1891), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (396) all_0_43_43 = e4 % 59.02/24.36 | % 59.02/24.36 | Combining equations (430,396) yields a new equation: % 59.02/24.36 | (630) e4 = e1 % 59.02/24.36 | % 59.02/24.36 | Equations (630) can reduce 110 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (399) ~ (all_0_43_43 = e4) % 59.02/24.36 | (446) all_0_44_44 = e4 % 59.02/24.36 | % 59.02/24.36 | Combining equations (1414,446) yields a new equation: % 59.02/24.36 | (397) e4 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (397) can reduce 49 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (880) ~ (all_0_58_58 = e1) % 59.02/24.36 | (795) all_0_58_58 = e3 % 59.02/24.36 | % 59.02/24.36 | Equations (795) can reduce 276 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (360) ~ (all_0_44_44 = e0) % 59.02/24.36 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (1417), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (635) all_0_44_44 = e1 % 59.02/24.36 | % 59.02/24.36 | Equations (635) can reduce 639 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (639) ~ (all_0_44_44 = e1) % 59.02/24.36 | (532) all_0_44_44 = e3 % 59.02/24.36 | % 59.02/24.36 | Equations (532) can reduce 407 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (477) ~ (all_0_56_56 = e4) % 59.02/24.36 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (935), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (871) all_0_57_57 = e4 % 59.02/24.36 | % 59.02/24.36 | Combining equations (875,871) yields a new equation: % 59.02/24.36 | (397) e4 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (397) can reduce 49 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (839) ~ (all_0_57_57 = e4) % 59.02/24.36 | (910) all_0_58_58 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (910) can reduce 451 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (509) ~ (all_0_53_53 = e2) % 59.02/24.36 | (624) all_0_58_58 = e2 % 59.02/24.36 | % 59.02/24.36 | Equations (624) can reduce 908 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (780) ~ (all_0_52_52 = e4) % 59.02/24.36 | (642) all_0_52_52 = e1 % 59.02/24.36 | % 59.02/24.36 | Equations (642) can reduce 646 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (810) ~ (all_0_48_48 = e2) % 59.02/24.36 | (10167) all_0_52_52 = e2 | all_0_57_57 = e2 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (10167), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (352) all_0_52_52 = e2 % 59.02/24.36 | % 59.02/24.36 | Equations (352) can reduce 342 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (342) ~ (all_0_52_52 = e2) % 59.02/24.36 | (442) all_0_57_57 = e2 % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 199 to: % 59.02/24.36 | (96) ~ (all_0_43_43 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 239 to: % 59.02/24.36 | (810) ~ (all_0_48_48 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 11 to: % 59.02/24.36 | (342) ~ (all_0_52_52 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 81 to: % 59.02/24.36 | (304) ~ (all_0_55_55 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 140 to: % 59.02/24.36 | (511) ~ (all_0_56_56 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 148 to: % 59.02/24.36 | (1186) ~ (all_0_58_58 = e2) % 59.02/24.36 | % 59.02/24.36 | Simplifying 1186 yields: % 59.02/24.36 | (908) ~ (all_0_58_58 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (442) can reduce 67 to: % 59.02/24.36 | (626) ~ (e3 = e2) % 59.02/24.36 | % 59.02/24.36 | Simplifying 626 yields: % 59.02/24.36 | (212) ~ (e3 = e2) % 59.02/24.36 | % 59.02/24.36 | From (442) and (83) follows: % 59.02/24.36 | (16562) op(e0, e1) = e2 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (163), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (565) all_0_52_52 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (565) can reduce 217 to: % 59.02/24.36 | (399) ~ (all_0_43_43 = e4) % 59.02/24.36 | % 59.02/24.36 | Equations (565) can reduce 202 to: % 59.02/24.36 | (254) ~ (all_0_48_48 = e4) % 59.02/24.36 | % 59.02/24.36 | Equations (565) can reduce 101 to: % 59.02/24.36 | (566) ~ (all_0_50_50 = e4) % 59.02/24.36 | % 59.02/24.36 | Equations (565) can reduce 20 to: % 59.02/24.36 | (475) ~ (all_0_51_51 = e4) % 59.02/24.36 | % 59.02/24.36 | Equations (565) can reduce 46 to: % 59.02/24.36 | (1452) ~ (all_0_53_53 = e4) % 59.02/24.36 | % 59.02/24.36 | Simplifying 1452 yields: % 59.02/24.36 | (1453) ~ (all_0_53_53 = e4) % 59.02/24.36 | % 59.02/24.36 | From (565) and (124) follows: % 59.02/24.36 | (570) op(e1, e1) = e4 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (195), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (396) all_0_43_43 = e4 % 59.02/24.36 | % 59.02/24.36 | Equations (396) can reduce 399 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (399) ~ (all_0_43_43 = e4) % 59.02/24.36 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (4), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (356) all_0_43_43 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (356) can reduce 31 to: % 59.02/24.36 | (357) ~ (all_0_41_41 = e0) % 59.02/24.36 | % 59.02/24.36 | Equations (356) can reduce 240 to: % 59.02/24.36 | (358) ~ (all_0_42_42 = e0) % 59.02/24.36 | % 59.02/24.36 | Equations (356) can reduce 159 to: % 59.02/24.36 | (359) ~ (all_0_44_44 = e0) % 59.02/24.36 | % 59.02/24.36 | Simplifying 359 yields: % 59.02/24.36 | (360) ~ (all_0_44_44 = e0) % 59.02/24.36 | % 59.02/24.36 | Equations (356) can reduce 399 to: % 59.02/24.36 | (401) ~ (e4 = e0) % 59.02/24.36 | % 59.02/24.36 | Simplifying 401 yields: % 59.02/24.36 | (49) ~ (e4 = e0) % 59.02/24.36 | % 59.02/24.36 | Equations (356) can reduce 96 to: % 59.02/24.36 | (365) ~ (e2 = e0) % 59.02/24.36 | % 59.02/24.36 | Simplifying 365 yields: % 59.02/24.36 | (128) ~ (e2 = e0) % 59.02/24.36 | % 59.02/24.36 | From (356) and (37) follows: % 59.02/24.36 | (369) op(e3, e1) = e0 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (130), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (430) all_0_43_43 = e1 % 59.02/24.36 | % 59.02/24.36 | Combining equations (356,430) yields a new equation: % 59.02/24.36 | (431) e1 = e0 % 59.02/24.36 | % 59.02/24.36 | Equations (431) can reduce 233 to: % 59.02/24.36 | (266) $false % 59.02/24.36 | % 59.02/24.36 |-The branch is then unsatisfiable % 59.02/24.36 |-Branch two: % 59.02/24.36 | (433) ~ (all_0_43_43 = e1) % 59.02/24.36 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (434), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (615) all_0_48_48 = e1 % 59.02/24.36 | % 59.02/24.36 | Equations (615) can reduce 30 to: % 59.02/24.36 | (549) ~ (all_0_46_46 = e1) % 59.02/24.36 | % 59.02/24.36 | Equations (615) can reduce 185 to: % 59.02/24.36 | (1419) ~ (all_0_49_49 = e1) % 59.02/24.36 | % 59.02/24.36 | Simplifying 1419 yields: % 59.02/24.36 | (1064) ~ (all_0_49_49 = e1) % 59.02/24.36 | % 59.02/24.36 | Equations (615) can reduce 254 to: % 59.02/24.36 | (602) ~ (e4 = e1) % 59.02/24.36 | % 59.02/24.36 | Simplifying 602 yields: % 59.02/24.36 | (110) ~ (e4 = e1) % 59.02/24.36 | % 59.02/24.36 +-Applying beta-rule and splitting (95), into two cases. % 59.02/24.36 |-Branch one: % 59.02/24.36 | (378) all_0_50_50 = e2 % 59.02/24.36 | % 59.02/24.36 | Equations (378) can reduce 221 to: % 59.02/24.36 | (85) ~ (all_0_41_41 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (378) can reduce 59 to: % 59.02/24.36 | (17668) ~ (all_0_51_51 = e2) % 59.02/24.36 | % 59.02/24.36 | Simplifying 17668 yields: % 59.02/24.36 | (1099) ~ (all_0_51_51 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (378) can reduce 190 to: % 59.02/24.36 | (508) ~ (all_0_53_53 = e2) % 59.02/24.36 | % 59.02/24.36 | Simplifying 508 yields: % 59.02/24.36 | (509) ~ (all_0_53_53 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (378) can reduce 93 to: % 59.02/24.36 | (303) ~ (all_0_55_55 = e2) % 59.02/24.36 | % 59.02/24.36 | Simplifying 303 yields: % 59.02/24.36 | (304) ~ (all_0_55_55 = e2) % 59.02/24.36 | % 59.02/24.36 | Equations (378) can reduce 566 to: % 59.02/24.36 | (327) ~ (e4 = e2) % 59.02/24.36 | % 59.02/24.36 | Simplifying 327 yields: % 59.02/24.36 | (48) ~ (e4 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (378) can reduce 121 to: % 59.02/24.37 | (128) ~ (e2 = e0) % 59.02/24.37 | % 59.02/24.37 | From (378) and (242) follows: % 59.02/24.37 | (26152) op(e1, e3) = e2 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (158), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (313) all_0_40_40 = e2 % 59.02/24.37 | % 59.02/24.37 | Combining equations (1378,313) yields a new equation: % 59.02/24.37 | (322) e4 = e2 % 59.02/24.37 | % 59.02/24.37 | Simplifying 322 yields: % 59.02/24.37 | (323) e4 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (323) can reduce 48 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (296) ~ (all_0_40_40 = e2) % 59.02/24.37 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (377), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (583) all_0_49_49 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (583) can reduce 208 to: % 59.02/24.37 | (300) ~ (all_0_46_46 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (583) can reduce 86 to: % 59.02/24.37 | (338) ~ (all_0_47_47 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (583) can reduce 65 to: % 59.02/24.37 | (508) ~ (all_0_53_53 = e2) % 59.02/24.37 | % 59.02/24.37 | Simplifying 508 yields: % 59.02/24.37 | (509) ~ (all_0_53_53 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (583) can reduce 119 to: % 59.02/24.37 | (1186) ~ (all_0_58_58 = e2) % 59.02/24.37 | % 59.02/24.37 | Simplifying 1186 yields: % 59.02/24.37 | (908) ~ (all_0_58_58 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (583) can reduce 1064 to: % 59.02/24.37 | (122) ~ (e2 = e1) % 59.02/24.37 | % 59.02/24.37 | From (583) and (55) follows: % 59.02/24.37 | (727) op(e2, e0) = e2 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (75), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (485) all_0_40_40 = e0 % 59.02/24.37 | % 59.02/24.37 | Combining equations (485,1378) yields a new equation: % 59.02/24.37 | (397) e4 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (397) can reduce 49 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (1401) ~ (all_0_40_40 = e0) % 59.02/24.37 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (123), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (1794) all_0_46_46 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (1794) can reduce 300 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (300) ~ (all_0_46_46 = e2) % 59.02/24.37 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (1797), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (770) all_0_46_46 = e4 % 59.02/24.37 | % 59.02/24.37 | Equations (770) can reduce 250 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (250) ~ (all_0_46_46 = e4) % 59.02/24.37 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (1801), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (538) all_0_46_46 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (538) can reduce 831 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (831) ~ (all_0_46_46 = e0) % 59.02/24.37 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (1838), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (545) all_0_46_46 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (545) can reduce 549 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (549) ~ (all_0_46_46 = e1) % 59.02/24.37 | (1557) all_0_46_46 = e3 % 59.02/24.37 | % 59.02/24.37 | Equations (1557) can reduce 43 to: % 59.02/24.37 | (1898) ~ (all_0_41_41 = e3) % 59.02/24.37 | % 59.02/24.37 | Equations (1557) can reduce 19 to: % 59.02/24.37 | (2538) ~ (all_0_47_47 = e3) % 59.02/24.37 | % 59.02/24.37 | Simplifying 2538 yields: % 59.02/24.37 | (1091) ~ (all_0_47_47 = e3) % 59.02/24.37 | % 59.02/24.37 | Equations (1557) can reduce 58 to: % 59.02/24.37 | (269) ~ (all_0_55_55 = e3) % 59.02/24.37 | % 59.02/24.37 | Simplifying 269 yields: % 59.02/24.37 | (270) ~ (all_0_55_55 = e3) % 59.02/24.37 | % 59.02/24.37 | Equations (1557) can reduce 250 to: % 59.02/24.37 | (277) ~ (e4 = e3) % 59.02/24.37 | % 59.02/24.37 | Simplifying 277 yields: % 59.02/24.37 | (188) ~ (e4 = e3) % 59.02/24.37 | % 59.02/24.37 | Equations (1557) can reduce 300 to: % 59.02/24.37 | (212) ~ (e3 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (1557) can reduce 549 to: % 59.02/24.37 | (213) ~ (e3 = e1) % 59.02/24.37 | % 59.02/24.37 | From (1557) and (120) follows: % 59.02/24.37 | (697) op(e2, e3) = e3 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (1748), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (1414) all_0_44_44 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (1414) can reduce 360 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (360) ~ (all_0_44_44 = e0) % 59.02/24.37 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (105), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (1105) all_0_47_47 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (1105) can reduce 338 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (338) ~ (all_0_47_47 = e2) % 59.02/24.37 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (1760), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (978) all_0_49_49 = e0 % 59.02/24.37 | % 59.02/24.37 | Combining equations (583,978) yields a new equation: % 59.02/24.37 | (391) e2 = e0 % 59.02/24.37 | % 59.02/24.37 | Simplifying 391 yields: % 59.02/24.37 | (330) e2 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (330) can reduce 128 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (487) ~ (all_0_49_49 = e0) % 59.02/24.37 | (914) all_0_58_58 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (914) can reduce 181 to: % 59.02/24.37 | (360) ~ (all_0_44_44 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (914) can reduce 10 to: % 59.02/24.37 | (247) ~ (all_0_53_53 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (914) can reduce 3 to: % 59.02/24.37 | (803) ~ (all_0_55_55 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (914) can reduce 44 to: % 59.02/24.37 | (828) ~ (all_0_56_56 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (914) can reduce 908 to: % 59.02/24.37 | (365) ~ (e2 = e0) % 59.02/24.37 | % 59.02/24.37 | Simplifying 365 yields: % 59.02/24.37 | (128) ~ (e2 = e0) % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (104), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (480) all_0_39_39 = e0 % 59.02/24.37 | % 59.02/24.37 | Combining equations (480,317) yields a new equation: % 59.02/24.37 | (330) e2 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (330) can reduce 128 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (484) ~ (all_0_39_39 = e0) % 59.02/24.37 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (558), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (559) all_0_42_42 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (559) can reduce 358 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (358) ~ (all_0_42_42 = e0) % 59.02/24.37 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (563), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (674) all_0_47_47 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (674) can reduce 198 to: % 59.02/24.37 | (358) ~ (all_0_42_42 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (674) can reduce 224 to: % 59.02/24.37 | (1404) ~ (all_0_51_51 = e0) % 59.02/24.37 | % 59.02/24.37 | Simplifying 1404 yields: % 59.02/24.37 | (115) ~ (all_0_51_51 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (674) can reduce 91 to: % 59.02/24.37 | (1181) ~ (all_0_56_56 = e0) % 59.02/24.37 | % 59.02/24.37 | Simplifying 1181 yields: % 59.02/24.37 | (828) ~ (all_0_56_56 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (674) can reduce 1091 to: % 59.02/24.37 | (541) ~ (e3 = e0) % 59.02/24.37 | % 59.02/24.37 | Simplifying 541 yields: % 59.02/24.37 | (80) ~ (e3 = e0) % 59.02/24.37 | % 59.02/24.37 | Equations (674) can reduce 338 to: % 59.02/24.37 | (365) ~ (e2 = e0) % 59.02/24.37 | % 59.02/24.37 | Simplifying 365 yields: % 59.02/24.37 | (128) ~ (e2 = e0) % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (168), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (415) all_0_50_50 = e3 % 59.02/24.37 | % 59.02/24.37 | Combining equations (378,415) yields a new equation: % 59.02/24.37 | (662) e3 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (662) can reduce 212 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (411) ~ (all_0_50_50 = e3) % 59.02/24.37 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (113), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (403) all_0_41_41 = e3 % 59.02/24.37 | % 59.02/24.37 | Equations (403) can reduce 1898 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (1898) ~ (all_0_41_41 = e3) % 59.02/24.37 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (18), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (453) all_0_41_41 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (453) can reduce 214 to: % 59.02/24.37 | (4055) ~ (all_0_42_42 = e1) % 59.02/24.37 | % 59.02/24.37 | Simplifying 4055 yields: % 59.02/24.37 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (453) can reduce 149 to: % 59.02/24.37 | (4057) ~ (all_0_44_44 = e1) % 59.02/24.37 | % 59.02/24.37 | Simplifying 4057 yields: % 59.02/24.37 | (639) ~ (all_0_44_44 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (453) can reduce 191 to: % 59.02/24.37 | (2331) ~ (all_0_55_55 = e1) % 59.02/24.37 | % 59.02/24.37 | Simplifying 2331 yields: % 59.02/24.37 | (632) ~ (all_0_55_55 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (453) can reduce 85 to: % 59.02/24.37 | (604) ~ (e2 = e1) % 59.02/24.37 | % 59.02/24.37 | Simplifying 604 yields: % 59.02/24.37 | (122) ~ (e2 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (453) can reduce 357 to: % 59.02/24.37 | (233) ~ (e1 = e0) % 59.02/24.37 | % 59.02/24.37 | From (453) and (219) follows: % 59.02/24.37 | (12512) op(e3, e3) = e1 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (64), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (437) all_0_41_41 = e4 % 59.02/24.37 | % 59.02/24.37 | Combining equations (437,453) yields a new equation: % 59.02/24.37 | (636) e4 = e1 % 59.02/24.37 | % 59.02/24.37 | Simplifying 636 yields: % 59.02/24.37 | (630) e4 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (630) can reduce 110 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (440) ~ (all_0_41_41 = e4) % 59.02/24.37 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (112), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (635) all_0_44_44 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (635) can reduce 639 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (639) ~ (all_0_44_44 = e1) % 59.02/24.37 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (216), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (629) all_0_55_55 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (629) can reduce 632 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (632) ~ (all_0_55_55 = e1) % 59.02/24.37 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (441), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (1392) all_0_42_42 = e4 % 59.02/24.37 | % 59.02/24.37 | Equations (1392) can reduce 73 to: % 59.02/24.37 | (1903) ~ (all_0_44_44 = e4) % 59.02/24.37 | % 59.02/24.37 | Simplifying 1903 yields: % 59.02/24.37 | (1390) ~ (all_0_44_44 = e4) % 59.02/24.37 | % 59.02/24.37 | Equations (1392) can reduce 61 to: % 59.02/24.37 | (474) ~ (all_0_51_51 = e4) % 59.02/24.37 | % 59.02/24.37 | Simplifying 474 yields: % 59.02/24.37 | (475) ~ (all_0_51_51 = e4) % 59.02/24.37 | % 59.02/24.37 | Equations (1392) can reduce 236 to: % 59.02/24.37 | (476) ~ (all_0_56_56 = e4) % 59.02/24.37 | % 59.02/24.37 | Simplifying 476 yields: % 59.02/24.37 | (477) ~ (all_0_56_56 = e4) % 59.02/24.37 | % 59.02/24.37 | Equations (1392) can reduce 51 to: % 59.02/24.37 | (48) ~ (e4 = e2) % 59.02/24.37 | % 59.02/24.37 | Equations (1392) can reduce 358 to: % 59.02/24.37 | (49) ~ (e4 = e0) % 59.02/24.37 | % 59.02/24.37 | From (1392) and (210) follows: % 59.02/24.37 | (4074) op(e3, e2) = e4 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (180), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (516) all_0_42_42 = e3 % 59.02/24.37 | % 59.02/24.37 | Combining equations (516,1392) yields a new equation: % 59.02/24.37 | (425) e4 = e3 % 59.02/24.37 | % 59.02/24.37 | Equations (425) can reduce 188 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (405) ~ (all_0_42_42 = e3) % 59.02/24.37 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (133), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (833) all_0_56_56 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (833) can reduce 511 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (511) ~ (all_0_56_56 = e2) % 59.02/24.37 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (26), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (446) all_0_44_44 = e4 % 59.02/24.37 | % 59.02/24.37 | Equations (446) can reduce 1390 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (1390) ~ (all_0_44_44 = e4) % 59.02/24.37 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (640), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (671) all_0_49_49 = e1 % 59.02/24.37 | % 59.02/24.37 | Combining equations (583,671) yields a new equation: % 59.02/24.37 | (616) e2 = e1 % 59.02/24.37 | % 59.02/24.37 | Simplifying 616 yields: % 59.02/24.37 | (617) e2 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (617) can reduce 122 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (1064) ~ (all_0_49_49 = e1) % 59.02/24.37 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (174), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (386) all_0_55_55 = e2 % 59.02/24.37 | % 59.02/24.37 | Equations (386) can reduce 304 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (304) ~ (all_0_55_55 = e2) % 59.02/24.37 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (521), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (522) all_0_47_47 = e3 % 59.02/24.37 | % 59.02/24.37 | Combining equations (674,522) yields a new equation: % 59.02/24.37 | (676) e3 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (676) can reduce 80 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (1091) ~ (all_0_47_47 = e3) % 59.02/24.37 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (1391), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (1414) all_0_44_44 = e0 % 59.02/24.37 | % 59.02/24.37 | Equations (1414) can reduce 360 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (360) ~ (all_0_44_44 = e0) % 59.02/24.37 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (836), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (842) all_0_56_56 = e4 % 59.02/24.37 | % 59.02/24.37 | Equations (842) can reduce 477 to: % 59.02/24.37 | (266) $false % 59.02/24.37 | % 59.02/24.37 |-The branch is then unsatisfiable % 59.02/24.37 |-Branch two: % 59.02/24.37 | (477) ~ (all_0_56_56 = e4) % 59.02/24.37 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (2141), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (1208) all_0_53_53 = e1 % 59.02/24.37 | % 59.02/24.37 | Equations (1208) can reduce 220 to: % 59.02/24.37 | (639) ~ (all_0_44_44 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (1208) can reduce 6 to: % 59.02/24.37 | (464) ~ (all_0_51_51 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (1208) can reduce 509 to: % 59.02/24.37 | (604) ~ (e2 = e1) % 59.02/24.37 | % 59.02/24.37 | Simplifying 604 yields: % 59.02/24.37 | (122) ~ (e2 = e1) % 59.02/24.37 | % 59.02/24.37 | Equations (1208) can reduce 247 to: % 59.02/24.37 | (233) ~ (e1 = e0) % 59.02/24.37 | % 59.02/24.37 +-Applying beta-rule and splitting (189), into two cases. % 59.02/24.37 |-Branch one: % 59.02/24.37 | (532) all_0_44_44 = e3 % 59.02/24.37 | % 59.02/24.37 | From (532) and (138) follows: % 59.02/24.38 | (1639) op(e3, e0) = e3 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (1092), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (660) all_0_51_51 = e3 % 59.02/24.38 | % 59.02/24.38 | Equations (660) can reduce 475 to: % 59.02/24.38 | (277) ~ (e4 = e3) % 59.02/24.38 | % 59.02/24.38 | Simplifying 277 yields: % 59.02/24.38 | (188) ~ (e4 = e3) % 59.02/24.38 | % 59.02/24.38 | Equations (660) can reduce 464 to: % 59.02/24.38 | (213) ~ (e3 = e1) % 59.02/24.38 | % 59.02/24.38 | From (660) and (186) follows: % 59.02/24.38 | (1552) op(e1, e2) = e3 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (2051), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (587) all_0_55_55 = e4 % 59.02/24.38 | % 59.02/24.38 | Equations (587) can reduce 632 to: % 59.02/24.38 | (110) ~ (e4 = e1) % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (131), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (459) all_0_42_42 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (459,1392) yields a new equation: % 59.02/24.38 | (630) e4 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (630) can reduce 110 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.38 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (633), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (1569) all_0_56_56 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (1569) can reduce 511 to: % 59.02/24.38 | (604) ~ (e2 = e1) % 59.02/24.38 | % 59.02/24.38 | Simplifying 604 yields: % 59.02/24.38 | (122) ~ (e2 = e1) % 59.02/24.38 | % 59.02/24.38 | Equations (1569) can reduce 828 to: % 59.02/24.38 | (233) ~ (e1 = e0) % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (56), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (696) unit = e2 % 59.02/24.38 | % 59.02/24.38 | From (696) and (209) follows: % 59.02/24.38 | (7585) op(e2, e0) = e0 % 59.02/24.38 | % 59.02/24.38 | From (696) and (227) follows: % 59.02/24.38 | (4284) op(e4, e2) = e4 % 59.02/24.38 | % 59.02/24.38 | From (696) and (40) follows: % 59.02/24.38 | (4285) op(e3, e2) = e3 % 59.02/24.38 | % 59.02/24.38 | From (696) and (28) follows: % 59.02/24.38 | (699) op(e1, e2) = e1 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.02/24.38 | (323) e4 = e2 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.02/24.38 | (425) e4 = e3 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.02/24.38 | (330) e2 = e0 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.02/24.38 | (455) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (323,425) yields a new equation: % 59.02/24.38 | (662) e3 = e2 % 59.02/24.38 | % 59.02/24.38 | Combining equations (662,455) yields a new equation: % 59.02/24.38 | (616) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Simplifying 616 yields: % 59.02/24.38 | (617) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (617,330) yields a new equation: % 59.02/24.38 | (546) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 546 yields: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (707) ~ (unit = e2) % 59.02/24.38 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (708), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (709) unit = e4 % 59.02/24.38 | % 59.02/24.38 | From (709) and (211) follows: % 59.02/24.38 | (22527) op(e4, e1) = e1 % 59.02/24.38 | % 59.02/24.38 | From (709) and (42) follows: % 59.02/24.38 | (713) op(e0, e4) = e0 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.02/24.38 | (455) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.02/24.38 | (676) e3 = e0 % 59.02/24.38 | % 59.02/24.38 | Combining equations (455,676) yields a new equation: % 59.02/24.38 | (546) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 546 yields: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (724) ~ (unit = e4) % 59.02/24.38 | (725) unit = e3 | unit = e1 | unit = e0 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (725), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (726) unit = e0 % 59.02/24.38 | % 59.02/24.38 | From (726) and (211) follows: % 59.02/24.38 | (15180) op(e0, e1) = e1 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 59.02/24.38 | (617) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (617) can reduce 122 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (734) ~ (unit = e0) % 59.02/24.38 | (735) unit = e3 | unit = e1 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (735), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (736) unit = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (736) can reduce 734 to: % 59.02/24.38 | (233) ~ (e1 = e0) % 59.02/24.38 | % 59.02/24.38 | From (736) and (15) follows: % 59.02/24.38 | (515) op(e1, e2) = e2 % 59.02/24.38 | % 59.02/24.38 | From (736) and (227) follows: % 59.02/24.38 | (739) op(e4, e1) = e4 % 59.02/24.38 | % 59.02/24.38 | From (736) and (40) follows: % 59.02/24.38 | (1652) op(e3, e1) = e3 % 59.02/24.38 | % 59.02/24.38 | From (736) and (28) follows: % 59.02/24.38 | (740) op(e1, e1) = e1 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.02/24.38 | (425) e4 = e3 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 59.02/24.38 | (676) e3 = e0 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.02/24.38 | (662) e3 = e2 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 59.02/24.38 | (630) e4 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (425,630) yields a new equation: % 59.02/24.38 | (454) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Simplifying 454 yields: % 59.02/24.38 | (455) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (455,662) yields a new equation: % 59.02/24.38 | (617) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (676,662) yields a new equation: % 59.02/24.38 | (330) e2 = e0 % 59.02/24.38 | % 59.02/24.38 | Combining equations (330,617) yields a new equation: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (748) ~ (unit = e1) % 59.02/24.38 | (749) unit = e3 % 59.02/24.38 | % 59.02/24.38 | From (749) and (209) follows: % 59.02/24.38 | (1667) op(e3, e0) = e0 % 59.02/24.38 | % 59.02/24.38 | From (749) and (40) follows: % 59.02/24.38 | (3715) op(e3, e3) = e3 % 59.02/24.38 | % 59.02/24.38 | From (749) and (32) follows: % 59.02/24.38 | (5793) op(e2, e3) = e2 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 59.02/24.38 | (455) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.02/24.38 | (676) e3 = e0 % 59.02/24.38 | % 59.02/24.38 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.02/24.38 | (662) e3 = e2 % 59.02/24.38 | % 59.02/24.38 | Combining equations (455,662) yields a new equation: % 59.02/24.38 | (617) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (676,662) yields a new equation: % 59.02/24.38 | (330) e2 = e0 % 59.02/24.38 | % 59.02/24.38 | Combining equations (330,617) yields a new equation: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (466) ~ (all_0_56_56 = e1) % 59.02/24.38 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (3259), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (654) all_0_47_47 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (654,674) yields a new equation: % 59.02/24.38 | (546) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 546 yields: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (462) ~ (all_0_47_47 = e1) % 59.02/24.38 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (3264), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (1109) all_0_51_51 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (660,1109) yields a new equation: % 59.02/24.38 | (454) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Simplifying 454 yields: % 59.02/24.38 | (455) e3 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (455) can reduce 213 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (464) ~ (all_0_51_51 = e1) % 59.02/24.38 | (1569) all_0_56_56 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (1569) can reduce 466 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (763) ~ (all_0_55_55 = e4) % 59.02/24.38 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (62), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (321) all_0_38_38 = e4 % 59.02/24.38 | % 59.02/24.38 | Combining equations (321,329) yields a new equation: % 59.02/24.38 | (481) e4 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 481 yields: % 59.02/24.38 | (397) e4 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (397) can reduce 49 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (325) ~ (all_0_38_38 = e4) % 59.02/24.38 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 59.02/24.38 | % 59.02/24.38 | Equations (329) can reduce 325 to: % 59.02/24.38 | (401) ~ (e4 = e0) % 59.02/24.38 | % 59.02/24.38 | Simplifying 401 yields: % 59.02/24.38 | (49) ~ (e4 = e0) % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (171), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (265) all_0_54_54 = e4 % 59.02/24.38 | % 59.02/24.38 | Combining equations (268,265) yields a new equation: % 59.02/24.38 | (425) e4 = e3 % 59.02/24.38 | % 59.02/24.38 | Equations (425) can reduce 188 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (258) ~ (all_0_54_54 = e4) % 59.02/24.38 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (633), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (1569) all_0_56_56 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (1569) can reduce 477 to: % 59.02/24.38 | (602) ~ (e4 = e1) % 59.02/24.38 | % 59.02/24.38 | Simplifying 602 yields: % 59.02/24.38 | (110) ~ (e4 = e1) % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (575), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (587) all_0_55_55 = e4 % 59.02/24.38 | % 59.02/24.38 | Equations (587) can reduce 763 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (763) ~ (all_0_55_55 = e4) % 59.02/24.38 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (764), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (842) all_0_56_56 = e4 % 59.02/24.38 | % 59.02/24.38 | Combining equations (842,1569) yields a new equation: % 59.02/24.38 | (636) e4 = e1 % 59.02/24.38 | % 59.02/24.38 | Simplifying 636 yields: % 59.02/24.38 | (630) e4 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (630) can reduce 110 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (477) ~ (all_0_56_56 = e4) % 59.02/24.38 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (935), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (871) all_0_57_57 = e4 % 59.02/24.38 | % 59.02/24.38 | Combining equations (442,871) yields a new equation: % 59.02/24.38 | (323) e4 = e2 % 59.02/24.38 | % 59.02/24.38 | Equations (323) can reduce 48 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (839) ~ (all_0_57_57 = e4) % 59.02/24.38 | (910) all_0_58_58 = e4 % 59.02/24.38 | % 59.02/24.38 | Combining equations (910,914) yields a new equation: % 59.02/24.38 | (481) e4 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 481 yields: % 59.02/24.38 | (397) e4 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (397) can reduce 49 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (466) ~ (all_0_56_56 = e1) % 59.02/24.38 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (1574), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (647) all_0_57_57 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (442,647) yields a new equation: % 59.02/24.38 | (616) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Simplifying 616 yields: % 59.02/24.38 | (617) e2 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (617) can reduce 122 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (1670) ~ (all_0_57_57 = e1) % 59.02/24.38 | (918) all_0_58_58 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (918,914) yields a new equation: % 59.02/24.38 | (546) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 546 yields: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (664) ~ (all_0_51_51 = e3) % 59.02/24.38 | (1097) all_0_56_56 = e3 % 59.02/24.38 | % 59.02/24.38 | Equations (1097) can reduce 272 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (407) ~ (all_0_44_44 = e3) % 59.02/24.38 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.02/24.38 | % 59.02/24.38 +-Applying beta-rule and splitting (1417), into two cases. % 59.02/24.38 |-Branch one: % 59.02/24.38 | (635) all_0_44_44 = e1 % 59.02/24.38 | % 59.02/24.38 | Equations (635) can reduce 639 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (639) ~ (all_0_44_44 = e1) % 59.02/24.38 | (532) all_0_44_44 = e3 % 59.02/24.38 | % 59.02/24.38 | Equations (532) can reduce 407 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.38 |-Branch two: % 59.02/24.38 | (1459) ~ (all_0_53_53 = e1) % 59.02/24.38 | (918) all_0_58_58 = e1 % 59.02/24.38 | % 59.02/24.38 | Combining equations (918,914) yields a new equation: % 59.02/24.38 | (546) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Simplifying 546 yields: % 59.02/24.38 | (431) e1 = e0 % 59.02/24.38 | % 59.02/24.38 | Equations (431) can reduce 233 to: % 59.02/24.38 | (266) $false % 59.02/24.38 | % 59.02/24.38 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1890) ~ (all_0_42_42 = e4) % 59.02/24.39 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (640), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (671) all_0_49_49 = e1 % 59.02/24.39 | % 59.02/24.39 | Combining equations (583,671) yields a new equation: % 59.02/24.39 | (616) e2 = e1 % 59.02/24.39 | % 59.02/24.39 | Simplifying 616 yields: % 59.02/24.39 | (617) e2 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (617) can reduce 122 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1064) ~ (all_0_49_49 = e1) % 59.02/24.39 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (2141), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (1208) all_0_53_53 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (152), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (1392) all_0_42_42 = e4 % 59.02/24.39 | % 59.02/24.39 | Equations (1392) can reduce 1890 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1890) ~ (all_0_42_42 = e4) % 59.02/24.39 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (131), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (459) all_0_42_42 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (459) can reduce 1380 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.39 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (1969), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (559) all_0_42_42 = e0 % 59.02/24.39 | % 59.02/24.39 | Equations (559) can reduce 358 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (358) ~ (all_0_42_42 = e0) % 59.02/24.39 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (2510), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (459) all_0_42_42 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (459) can reduce 1380 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.39 | (516) all_0_42_42 = e3 % 59.02/24.39 | % 59.02/24.39 | Equations (516) can reduce 61 to: % 59.02/24.39 | (1925) ~ (all_0_51_51 = e3) % 59.02/24.39 | % 59.02/24.39 | Simplifying 1925 yields: % 59.02/24.39 | (664) ~ (all_0_51_51 = e3) % 59.02/24.39 | % 59.02/24.39 | Equations (516) can reduce 1380 to: % 59.02/24.39 | (213) ~ (e3 = e1) % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (418), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (660) all_0_51_51 = e3 % 59.02/24.39 | % 59.02/24.39 | Equations (660) can reduce 664 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (664) ~ (all_0_51_51 = e3) % 59.02/24.39 | (665) all_0_53_53 = e3 % 59.02/24.39 | % 59.02/24.39 | Combining equations (1208,665) yields a new equation: % 59.02/24.39 | (455) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (455) can reduce 213 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1459) ~ (all_0_53_53 = e1) % 59.02/24.39 | (918) all_0_58_58 = e1 % 59.02/24.39 | % 59.02/24.39 | Combining equations (914,918) yields a new equation: % 59.02/24.39 | (431) e1 = e0 % 59.02/24.39 | % 59.02/24.39 | Equations (431) can reduce 233 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (457) ~ (all_0_41_41 = e1) % 59.02/24.39 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (27), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (437) all_0_41_41 = e4 % 59.02/24.39 | % 59.02/24.39 | Equations (437) can reduce 214 to: % 59.02/24.39 | (1901) ~ (all_0_42_42 = e4) % 59.02/24.39 | % 59.02/24.39 | Simplifying 1901 yields: % 59.02/24.39 | (1890) ~ (all_0_42_42 = e4) % 59.02/24.39 | % 59.02/24.39 | Equations (437) can reduce 149 to: % 59.02/24.39 | (1903) ~ (all_0_44_44 = e4) % 59.02/24.39 | % 59.02/24.39 | Simplifying 1903 yields: % 59.02/24.39 | (1390) ~ (all_0_44_44 = e4) % 59.02/24.39 | % 59.02/24.39 | Equations (437) can reduce 85 to: % 59.02/24.39 | (48) ~ (e4 = e2) % 59.02/24.39 | % 59.02/24.39 | Equations (437) can reduce 357 to: % 59.02/24.39 | (49) ~ (e4 = e0) % 59.02/24.39 | % 59.02/24.39 | From (437) and (219) follows: % 59.02/24.39 | (1913) op(e3, e3) = e4 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (164), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (471) all_0_39_39 = e4 % 59.02/24.39 | % 59.02/24.39 | Combining equations (471,317) yields a new equation: % 59.02/24.39 | (322) e4 = e2 % 59.02/24.39 | % 59.02/24.39 | Simplifying 322 yields: % 59.02/24.39 | (323) e4 = e2 % 59.02/24.39 | % 59.02/24.39 | Equations (323) can reduce 48 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1377) ~ (all_0_39_39 = e4) % 59.02/24.39 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (595), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (545) all_0_46_46 = e1 % 59.02/24.39 | % 59.02/24.39 | Combining equations (545,1557) yields a new equation: % 59.02/24.39 | (455) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (455) can reduce 213 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (549) ~ (all_0_46_46 = e1) % 59.02/24.39 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (2115), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (1392) all_0_42_42 = e4 % 59.02/24.39 | % 59.02/24.39 | Equations (1392) can reduce 1890 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1890) ~ (all_0_42_42 = e4) % 59.02/24.39 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (600), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (601) all_0_50_50 = e1 % 59.02/24.39 | % 59.02/24.39 | Combining equations (378,601) yields a new equation: % 59.02/24.39 | (616) e2 = e1 % 59.02/24.39 | % 59.02/24.39 | Simplifying 616 yields: % 59.02/24.39 | (617) e2 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (617) can reduce 122 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (759) ~ (all_0_50_50 = e1) % 59.02/24.39 | (629) all_0_55_55 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (629) can reduce 153 to: % 59.02/24.39 | (465) ~ (all_0_56_56 = e1) % 59.02/24.39 | % 59.02/24.39 | Simplifying 465 yields: % 59.02/24.39 | (466) ~ (all_0_56_56 = e1) % 59.02/24.39 | % 59.02/24.39 | Equations (629) can reduce 270 to: % 59.02/24.39 | (467) ~ (e3 = e1) % 59.02/24.39 | % 59.02/24.39 | Simplifying 467 yields: % 59.02/24.39 | (213) ~ (e3 = e1) % 59.02/24.39 | % 59.02/24.39 | Equations (629) can reduce 803 to: % 59.02/24.39 | (233) ~ (e1 = e0) % 59.02/24.39 | % 59.02/24.39 | From (629) and (74) follows: % 59.02/24.39 | (6587) op(e0, e3) = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (133), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (833) all_0_56_56 = e2 % 59.02/24.39 | % 59.02/24.39 | Equations (833) can reduce 511 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (511) ~ (all_0_56_56 = e2) % 59.02/24.39 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (2246), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (1790) all_0_47_47 = e4 % 59.02/24.39 | % 59.02/24.39 | Combining equations (1790,674) yields a new equation: % 59.02/24.39 | (481) e4 = e0 % 59.02/24.39 | % 59.02/24.39 | Simplifying 481 yields: % 59.02/24.39 | (397) e4 = e0 % 59.02/24.39 | % 59.02/24.39 | Equations (397) can reduce 49 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (252) ~ (all_0_47_47 = e4) % 59.02/24.39 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (836), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (842) all_0_56_56 = e4 % 59.02/24.39 | % 59.02/24.39 | Equations (842) can reduce 466 to: % 59.02/24.39 | (110) ~ (e4 = e1) % 59.02/24.39 | % 59.02/24.39 | From (842) and (111) follows: % 59.02/24.39 | (2154) op(e0, e2) = e4 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (131), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (459) all_0_42_42 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (180), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (516) all_0_42_42 = e3 % 59.02/24.39 | % 59.02/24.39 | Combining equations (516,459) yields a new equation: % 59.02/24.39 | (454) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Simplifying 454 yields: % 59.02/24.39 | (455) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (455) can reduce 213 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (405) ~ (all_0_42_42 = e3) % 59.02/24.39 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.02/24.39 | % 59.02/24.39 | Equations (459) can reduce 405 to: % 59.02/24.39 | (467) ~ (e3 = e1) % 59.02/24.39 | % 59.02/24.39 | Simplifying 467 yields: % 59.02/24.39 | (213) ~ (e3 = e1) % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (521), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (522) all_0_47_47 = e3 % 59.02/24.39 | % 59.02/24.39 | Combining equations (522,674) yields a new equation: % 59.02/24.39 | (675) e3 = e0 % 59.02/24.39 | % 59.02/24.39 | Simplifying 675 yields: % 59.02/24.39 | (676) e3 = e0 % 59.02/24.39 | % 59.02/24.39 | Equations (676) can reduce 80 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1091) ~ (all_0_47_47 = e3) % 59.02/24.39 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (26), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (446) all_0_44_44 = e4 % 59.02/24.39 | % 59.02/24.39 | Equations (446) can reduce 1390 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1390) ~ (all_0_44_44 = e4) % 59.02/24.39 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (1899), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (516) all_0_42_42 = e3 % 59.02/24.39 | % 59.02/24.39 | Combining equations (516,459) yields a new equation: % 59.02/24.39 | (454) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Simplifying 454 yields: % 59.02/24.39 | (455) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (455) can reduce 213 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (405) ~ (all_0_42_42 = e3) % 59.02/24.39 | (532) all_0_44_44 = e3 % 59.02/24.39 | % 59.02/24.39 | Equations (532) can reduce 1390 to: % 59.02/24.39 | (277) ~ (e4 = e3) % 59.02/24.39 | % 59.02/24.39 | Simplifying 277 yields: % 59.02/24.39 | (188) ~ (e4 = e3) % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (196), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (607) all_0_53_53 = e2 % 59.02/24.39 | % 59.02/24.39 | Equations (607) can reduce 509 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (509) ~ (all_0_53_53 = e2) % 59.02/24.39 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (610), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (1298) all_0_53_53 = e4 % 59.02/24.39 | % 59.02/24.39 | Equations (1298) can reduce 1453 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (1453) ~ (all_0_53_53 = e4) % 59.02/24.39 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (1092), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (660) all_0_51_51 = e3 % 59.02/24.39 | % 59.02/24.39 | Equations (660) can reduce 6 to: % 59.02/24.39 | (1114) ~ (all_0_53_53 = e3) % 59.02/24.39 | % 59.02/24.39 | Simplifying 1114 yields: % 59.02/24.39 | (903) ~ (all_0_53_53 = e3) % 59.02/24.39 | % 59.02/24.39 | From (660) and (186) follows: % 59.02/24.39 | (1552) op(e1, e2) = e3 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (1694), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (1208) all_0_53_53 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (1208) can reduce 509 to: % 59.02/24.39 | (604) ~ (e2 = e1) % 59.02/24.39 | % 59.02/24.39 | Simplifying 604 yields: % 59.02/24.39 | (122) ~ (e2 = e1) % 59.02/24.39 | % 59.02/24.39 | Equations (1208) can reduce 247 to: % 59.02/24.39 | (233) ~ (e1 = e0) % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (56), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (696) unit = e2 % 59.02/24.39 | % 59.02/24.39 | From (696) and (227) follows: % 59.02/24.39 | (4284) op(e4, e2) = e4 % 59.02/24.39 | % 59.02/24.39 | From (696) and (42) follows: % 59.02/24.39 | (1613) op(e0, e2) = e0 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.02/24.39 | (323) e4 = e2 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 59.02/24.39 | (397) e4 = e0 % 59.02/24.39 | % 59.02/24.39 | Combining equations (323,397) yields a new equation: % 59.02/24.39 | (391) e2 = e0 % 59.02/24.39 | % 59.02/24.39 | Simplifying 391 yields: % 59.02/24.39 | (330) e2 = e0 % 59.02/24.39 | % 59.02/24.39 | Equations (330) can reduce 128 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (707) ~ (unit = e2) % 59.02/24.39 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (708), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (709) unit = e4 % 59.02/24.39 | % 59.02/24.39 | From (709) and (211) follows: % 59.02/24.39 | (22527) op(e4, e1) = e1 % 59.02/24.39 | % 59.02/24.39 | From (709) and (42) follows: % 59.02/24.39 | (713) op(e0, e4) = e0 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.02/24.39 | (455) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.02/24.39 | (676) e3 = e0 % 59.02/24.39 | % 59.02/24.39 | Combining equations (455,676) yields a new equation: % 59.02/24.39 | (546) e1 = e0 % 59.02/24.39 | % 59.02/24.39 | Simplifying 546 yields: % 59.02/24.39 | (431) e1 = e0 % 59.02/24.39 | % 59.02/24.39 | Equations (431) can reduce 233 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (724) ~ (unit = e4) % 59.02/24.39 | (725) unit = e3 | unit = e1 | unit = e0 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (725), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (726) unit = e0 % 59.02/24.39 | % 59.02/24.39 | From (726) and (244) follows: % 59.02/24.39 | (2207) op(e0, e4) = e4 % 59.02/24.39 | % 59.02/24.39 | From (726) and (24) follows: % 59.02/24.39 | (2208) op(e0, e3) = e3 % 59.02/24.39 | % 59.02/24.39 | From (726) and (15) follows: % 59.02/24.39 | (1508) op(e0, e2) = e2 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.02/24.39 | (425) e4 = e3 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 59.02/24.39 | (455) e3 = e1 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.02/24.39 | (323) e4 = e2 % 59.02/24.39 | % 59.02/24.39 | Combining equations (323,425) yields a new equation: % 59.02/24.39 | (662) e3 = e2 % 59.02/24.39 | % 59.02/24.39 | Combining equations (662,455) yields a new equation: % 59.02/24.39 | (616) e2 = e1 % 59.02/24.39 | % 59.02/24.39 | Simplifying 616 yields: % 59.02/24.39 | (617) e2 = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (617) can reduce 122 to: % 59.02/24.39 | (266) $false % 59.02/24.39 | % 59.02/24.39 |-The branch is then unsatisfiable % 59.02/24.39 |-Branch two: % 59.02/24.39 | (734) ~ (unit = e0) % 59.02/24.39 | (735) unit = e3 | unit = e1 % 59.02/24.39 | % 59.02/24.39 +-Applying beta-rule and splitting (735), into two cases. % 59.02/24.39 |-Branch one: % 59.02/24.39 | (736) unit = e1 % 59.02/24.39 | % 59.02/24.39 | Equations (736) can reduce 734 to: % 59.02/24.39 | (233) ~ (e1 = e0) % 59.02/24.39 | % 59.02/24.39 | From (736) and (15) follows: % 59.02/24.39 | (515) op(e1, e2) = e2 % 59.02/24.39 | % 59.02/24.39 | From (736) and (227) follows: % 59.02/24.39 | (739) op(e4, e1) = e4 % 59.02/24.39 | % 59.02/24.39 | From (736) and (40) follows: % 59.02/24.39 | (1652) op(e3, e1) = e3 % 59.02/24.39 | % 59.02/24.39 | From (736) and (28) follows: % 59.02/24.39 | (740) op(e1, e1) = e1 % 59.02/24.39 | % 59.02/24.39 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.02/24.40 | (425) e4 = e3 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 59.02/24.40 | (676) e3 = e0 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.02/24.40 | (662) e3 = e2 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 59.02/24.40 | (630) e4 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (425,630) yields a new equation: % 59.02/24.40 | (454) e3 = e1 % 59.02/24.40 | % 59.02/24.40 | Simplifying 454 yields: % 59.02/24.40 | (455) e3 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (455,662) yields a new equation: % 59.02/24.40 | (617) e2 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (676,662) yields a new equation: % 59.02/24.40 | (330) e2 = e0 % 59.02/24.40 | % 59.02/24.40 | Combining equations (330,617) yields a new equation: % 59.02/24.40 | (431) e1 = e0 % 59.02/24.40 | % 59.02/24.40 | Equations (431) can reduce 233 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (748) ~ (unit = e1) % 59.02/24.40 | (749) unit = e3 % 59.02/24.40 | % 59.02/24.40 | From (749) and (244) follows: % 59.02/24.40 | (750) op(e3, e4) = e4 % 59.02/24.40 | % 59.02/24.40 | From (749) and (227) follows: % 59.02/24.40 | (22570) op(e4, e3) = e4 % 59.02/24.40 | % 59.02/24.40 | From (749) and (40) follows: % 59.02/24.40 | (3715) op(e3, e3) = e3 % 59.02/24.40 | % 59.02/24.40 | From (749) and (28) follows: % 59.02/24.40 | (2235) op(e1, e3) = e1 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 59.02/24.40 | (397) e4 = e0 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.02/24.40 | (323) e4 = e2 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 59.02/24.40 | (425) e4 = e3 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 59.02/24.40 | (617) e2 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (323,425) yields a new equation: % 59.02/24.40 | (662) e3 = e2 % 59.02/24.40 | % 59.02/24.40 | Combining equations (397,425) yields a new equation: % 59.02/24.40 | (676) e3 = e0 % 59.02/24.40 | % 59.02/24.40 | Combining equations (676,662) yields a new equation: % 59.02/24.40 | (330) e2 = e0 % 59.02/24.40 | % 59.02/24.40 | Combining equations (330,617) yields a new equation: % 59.02/24.40 | (431) e1 = e0 % 59.02/24.40 | % 59.02/24.40 | Equations (431) can reduce 233 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (1459) ~ (all_0_53_53 = e1) % 59.02/24.40 | (665) all_0_53_53 = e3 % 59.02/24.40 | % 59.02/24.40 | Equations (665) can reduce 903 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (664) ~ (all_0_51_51 = e3) % 59.02/24.40 | (1097) all_0_56_56 = e3 % 59.02/24.40 | % 59.02/24.40 | Combining equations (842,1097) yields a new equation: % 59.02/24.40 | (424) e4 = e3 % 59.02/24.40 | % 59.02/24.40 | Simplifying 424 yields: % 59.02/24.40 | (425) e4 = e3 % 59.02/24.40 | % 59.02/24.40 | Equations (425) can reduce 188 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.40 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (103), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (453) all_0_41_41 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (453,437) yields a new equation: % 59.02/24.40 | (630) e4 = e1 % 59.02/24.40 | % 59.02/24.40 | Equations (630) can reduce 110 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (457) ~ (all_0_41_41 = e1) % 59.02/24.40 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (458), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (459) all_0_42_42 = e1 % 59.02/24.40 | % 59.02/24.40 | Equations (459) can reduce 1380 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (1380) ~ (all_0_42_42 = e1) % 59.02/24.40 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (3259), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (654) all_0_47_47 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (674,654) yields a new equation: % 59.02/24.40 | (431) e1 = e0 % 59.02/24.40 | % 59.02/24.40 | Equations (431) can reduce 233 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (462) ~ (all_0_47_47 = e1) % 59.02/24.40 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.02/24.40 | % 59.02/24.40 | Equations (674) can reduce 462 to: % 59.02/24.40 | (435) ~ (e1 = e0) % 59.02/24.40 | % 59.02/24.40 | Simplifying 435 yields: % 59.02/24.40 | (233) ~ (e1 = e0) % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (1381), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (430) all_0_43_43 = e1 % 59.02/24.40 | % 59.02/24.40 | Combining equations (430,356) yields a new equation: % 59.02/24.40 | (546) e1 = e0 % 59.02/24.40 | % 59.02/24.40 | Simplifying 546 yields: % 59.02/24.40 | (431) e1 = e0 % 59.02/24.40 | % 59.02/24.40 | Equations (431) can reduce 233 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (433) ~ (all_0_43_43 = e1) % 59.02/24.40 | (635) all_0_44_44 = e1 % 59.02/24.40 | % 59.02/24.40 | Equations (635) can reduce 1390 to: % 59.02/24.40 | (602) ~ (e4 = e1) % 59.02/24.40 | % 59.02/24.40 | Simplifying 602 yields: % 59.02/24.40 | (110) ~ (e4 = e1) % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (3264), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (1109) all_0_51_51 = e1 % 59.02/24.40 | % 59.02/24.40 | Equations (1109) can reduce 1099 to: % 59.02/24.40 | (604) ~ (e2 = e1) % 59.02/24.40 | % 59.02/24.40 | Simplifying 604 yields: % 59.02/24.40 | (122) ~ (e2 = e1) % 59.02/24.40 | % 59.02/24.40 | Equations (1109) can reduce 115 to: % 59.02/24.40 | (233) ~ (e1 = e0) % 59.02/24.40 | % 59.02/24.40 | From (1109) and (186) follows: % 59.02/24.40 | (699) op(e1, e2) = e1 % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (56), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (696) unit = e2 % 59.02/24.40 | % 59.02/24.40 | From (696) and (227) follows: % 59.02/24.40 | (4284) op(e4, e2) = e4 % 59.02/24.40 | % 59.02/24.40 | From (696) and (42) follows: % 59.02/24.40 | (1613) op(e0, e2) = e0 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.02/24.40 | (323) e4 = e2 % 59.02/24.40 | % 59.02/24.40 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 59.02/24.40 | (397) e4 = e0 % 59.02/24.40 | % 59.02/24.40 | Combining equations (323,397) yields a new equation: % 59.02/24.40 | (391) e2 = e0 % 59.02/24.40 | % 59.02/24.40 | Simplifying 391 yields: % 59.02/24.40 | (330) e2 = e0 % 59.02/24.40 | % 59.02/24.40 | Equations (330) can reduce 128 to: % 59.02/24.40 | (266) $false % 59.02/24.40 | % 59.02/24.40 |-The branch is then unsatisfiable % 59.02/24.40 |-Branch two: % 59.02/24.40 | (707) ~ (unit = e2) % 59.02/24.40 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.02/24.40 | % 59.02/24.40 +-Applying beta-rule and splitting (708), into two cases. % 59.02/24.40 |-Branch one: % 59.02/24.40 | (709) unit = e4 % 59.02/24.40 | % 59.02/24.40 | From (709) and (211) follows: % 59.09/24.40 | (22527) op(e4, e1) = e1 % 59.09/24.40 | % 59.09/24.40 | From (709) and (42) follows: % 59.09/24.40 | (713) op(e0, e4) = e0 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.09/24.40 | (455) e3 = e1 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.09/24.40 | (676) e3 = e0 % 59.09/24.40 | % 59.09/24.40 | Combining equations (455,676) yields a new equation: % 59.09/24.40 | (546) e1 = e0 % 59.09/24.40 | % 59.09/24.40 | Simplifying 546 yields: % 59.09/24.40 | (431) e1 = e0 % 59.09/24.40 | % 59.09/24.40 | Equations (431) can reduce 233 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.40 |-Branch two: % 59.09/24.40 | (724) ~ (unit = e4) % 59.09/24.40 | (725) unit = e3 | unit = e1 | unit = e0 % 59.09/24.40 | % 59.09/24.40 +-Applying beta-rule and splitting (725), into two cases. % 59.09/24.40 |-Branch one: % 59.09/24.40 | (726) unit = e0 % 59.09/24.40 | % 59.09/24.40 | From (726) and (244) follows: % 59.09/24.40 | (2207) op(e0, e4) = e4 % 59.09/24.40 | % 59.09/24.40 | From (726) and (24) follows: % 59.09/24.40 | (2208) op(e0, e3) = e3 % 59.09/24.40 | % 59.09/24.40 | From (726) and (15) follows: % 59.09/24.40 | (1508) op(e0, e2) = e2 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.09/24.40 | (425) e4 = e3 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 59.09/24.40 | (455) e3 = e1 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.09/24.40 | (323) e4 = e2 % 59.09/24.40 | % 59.09/24.40 | Combining equations (323,425) yields a new equation: % 59.09/24.40 | (662) e3 = e2 % 59.09/24.40 | % 59.09/24.40 | Combining equations (662,455) yields a new equation: % 59.09/24.40 | (616) e2 = e1 % 59.09/24.40 | % 59.09/24.40 | Simplifying 616 yields: % 59.09/24.40 | (617) e2 = e1 % 59.09/24.40 | % 59.09/24.40 | Equations (617) can reduce 122 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.40 |-Branch two: % 59.09/24.40 | (734) ~ (unit = e0) % 59.09/24.40 | (735) unit = e3 | unit = e1 % 59.09/24.40 | % 59.09/24.40 +-Applying beta-rule and splitting (735), into two cases. % 59.09/24.40 |-Branch one: % 59.09/24.40 | (736) unit = e1 % 59.09/24.40 | % 59.09/24.40 | Equations (736) can reduce 734 to: % 59.09/24.40 | (233) ~ (e1 = e0) % 59.09/24.40 | % 59.09/24.40 | From (736) and (244) follows: % 59.09/24.40 | (738) op(e1, e4) = e4 % 59.09/24.40 | % 59.09/24.40 | From (736) and (24) follows: % 59.09/24.40 | (1934) op(e1, e3) = e3 % 59.09/24.40 | % 59.09/24.40 | From (736) and (15) follows: % 59.09/24.40 | (515) op(e1, e2) = e2 % 59.09/24.40 | % 59.09/24.40 | From (736) and (227) follows: % 59.09/24.40 | (739) op(e4, e1) = e4 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.09/24.40 | (425) e4 = e3 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 59.09/24.40 | (397) e4 = e0 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 59.09/24.40 | (662) e3 = e2 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 59.09/24.40 | (617) e2 = e1 % 59.09/24.40 | % 59.09/24.40 | Combining equations (425,397) yields a new equation: % 59.09/24.40 | (675) e3 = e0 % 59.09/24.40 | % 59.09/24.40 | Simplifying 675 yields: % 59.09/24.40 | (676) e3 = e0 % 59.09/24.40 | % 59.09/24.40 | Combining equations (662,676) yields a new equation: % 59.09/24.40 | (391) e2 = e0 % 59.09/24.40 | % 59.09/24.40 | Simplifying 391 yields: % 59.09/24.40 | (330) e2 = e0 % 59.09/24.40 | % 59.09/24.40 | Combining equations (330,617) yields a new equation: % 59.09/24.40 | (431) e1 = e0 % 59.09/24.40 | % 59.09/24.40 | Equations (431) can reduce 233 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.40 |-Branch two: % 59.09/24.40 | (748) ~ (unit = e1) % 59.09/24.40 | (749) unit = e3 % 59.09/24.40 | % 59.09/24.40 | From (749) and (244) follows: % 59.09/24.40 | (750) op(e3, e4) = e4 % 59.09/24.40 | % 59.09/24.40 | From (749) and (227) follows: % 59.09/24.40 | (22570) op(e4, e3) = e4 % 59.09/24.40 | % 59.09/24.40 | From (749) and (28) follows: % 59.09/24.40 | (2235) op(e1, e3) = e1 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 59.09/24.40 | (397) e4 = e0 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.09/24.40 | (323) e4 = e2 % 59.09/24.40 | % 59.09/24.40 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 59.09/24.40 | (617) e2 = e1 % 59.09/24.40 | % 59.09/24.40 | Combining equations (397,323) yields a new equation: % 59.09/24.40 | (330) e2 = e0 % 59.09/24.40 | % 59.09/24.40 | Combining equations (617,330) yields a new equation: % 59.09/24.40 | (546) e1 = e0 % 59.09/24.40 | % 59.09/24.40 | Simplifying 546 yields: % 59.09/24.40 | (431) e1 = e0 % 59.09/24.40 | % 59.09/24.40 | Equations (431) can reduce 233 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.40 |-Branch two: % 59.09/24.40 | (464) ~ (all_0_51_51 = e1) % 59.09/24.40 | (1569) all_0_56_56 = e1 % 59.09/24.40 | % 59.09/24.40 | Combining equations (842,1569) yields a new equation: % 59.09/24.40 | (636) e4 = e1 % 59.09/24.40 | % 59.09/24.40 | Simplifying 636 yields: % 59.09/24.40 | (630) e4 = e1 % 59.09/24.40 | % 59.09/24.40 | Equations (630) can reduce 110 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.40 |-Branch two: % 59.09/24.40 | (477) ~ (all_0_56_56 = e4) % 59.09/24.40 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.09/24.40 | % 59.09/24.40 +-Applying beta-rule and splitting (6548), into two cases. % 59.09/24.40 |-Branch one: % 59.09/24.40 | (1101) all_0_51_51 = e4 % 59.09/24.40 | % 59.09/24.40 | Equations (1101) can reduce 475 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.40 |-Branch two: % 59.09/24.40 | (475) ~ (all_0_51_51 = e4) % 59.09/24.40 | (842) all_0_56_56 = e4 % 59.09/24.40 | % 59.09/24.40 | Equations (842) can reduce 477 to: % 59.09/24.40 | (266) $false % 59.09/24.40 | % 59.09/24.40 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (440) ~ (all_0_41_41 = e4) % 59.09/24.41 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (4049), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (794) all_0_41_41 = e0 % 59.09/24.41 | % 59.09/24.41 | Equations (794) can reduce 357 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (357) ~ (all_0_41_41 = e0) % 59.09/24.41 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (4053), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (453) all_0_41_41 = e1 % 59.09/24.41 | % 59.09/24.41 | Equations (453) can reduce 457 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (457) ~ (all_0_41_41 = e1) % 59.09/24.41 | (403) all_0_41_41 = e3 % 59.09/24.41 | % 59.09/24.41 | Equations (403) can reduce 1898 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (678) ~ (all_0_47_47 = e0) % 59.09/24.41 | (679) all_0_56_56 = e0 % 59.09/24.41 | % 59.09/24.41 | Equations (679) can reduce 828 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (340) ~ (all_0_49_49 = e2) % 59.09/24.41 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (614), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (607) all_0_53_53 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 509 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (509) ~ (all_0_53_53 = e2) % 59.09/24.41 | (624) all_0_58_58 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (624) can reduce 908 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (302) ~ (all_0_50_50 = e2) % 59.09/24.41 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (117), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (292) all_0_38_38 = e2 % 59.09/24.41 | % 59.09/24.41 | Combining equations (292,329) yields a new equation: % 59.09/24.41 | (391) e2 = e0 % 59.09/24.41 | % 59.09/24.41 | Simplifying 391 yields: % 59.09/24.41 | (330) e2 = e0 % 59.09/24.41 | % 59.09/24.41 | Equations (330) can reduce 128 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (9600) ~ (all_0_38_38 = e2) % 59.09/24.41 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (24424), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (1794) all_0_46_46 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (1794) can reduce 43 to: % 59.09/24.41 | (85) ~ (all_0_41_41 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (1794) can reduce 19 to: % 59.09/24.41 | (22180) ~ (all_0_47_47 = e2) % 59.09/24.41 | % 59.09/24.41 | Simplifying 22180 yields: % 59.09/24.41 | (338) ~ (all_0_47_47 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (1794) can reduce 208 to: % 59.09/24.41 | (339) ~ (all_0_49_49 = e2) % 59.09/24.41 | % 59.09/24.41 | Simplifying 339 yields: % 59.09/24.41 | (340) ~ (all_0_49_49 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (1794) can reduce 58 to: % 59.09/24.41 | (303) ~ (all_0_55_55 = e2) % 59.09/24.41 | % 59.09/24.41 | Simplifying 303 yields: % 59.09/24.41 | (304) ~ (all_0_55_55 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (1794) can reduce 250 to: % 59.09/24.41 | (327) ~ (e4 = e2) % 59.09/24.41 | % 59.09/24.41 | Simplifying 327 yields: % 59.09/24.41 | (48) ~ (e4 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (1794) can reduce 549 to: % 59.09/24.41 | (122) ~ (e2 = e1) % 59.09/24.41 | % 59.09/24.41 | From (1794) and (120) follows: % 59.09/24.41 | (5793) op(e2, e3) = e2 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (158), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (313) all_0_40_40 = e2 % 59.09/24.41 | % 59.09/24.41 | Combining equations (1378,313) yields a new equation: % 59.09/24.41 | (322) e4 = e2 % 59.09/24.41 | % 59.09/24.41 | Simplifying 322 yields: % 59.09/24.41 | (323) e4 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (323) can reduce 48 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (296) ~ (all_0_40_40 = e2) % 59.09/24.41 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (377), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (583) all_0_49_49 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (583) can reduce 340 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (340) ~ (all_0_49_49 = e2) % 59.09/24.41 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (614), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (607) all_0_53_53 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 220 to: % 59.09/24.41 | (147) ~ (all_0_44_44 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 65 to: % 59.09/24.41 | (340) ~ (all_0_49_49 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 190 to: % 59.09/24.41 | (302) ~ (all_0_50_50 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 6 to: % 59.09/24.41 | (1099) ~ (all_0_51_51 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 10 to: % 59.09/24.41 | (1186) ~ (all_0_58_58 = e2) % 59.09/24.41 | % 59.09/24.41 | Simplifying 1186 yields: % 59.09/24.41 | (908) ~ (all_0_58_58 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (607) can reduce 247 to: % 59.09/24.41 | (128) ~ (e2 = e0) % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (168), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (415) all_0_50_50 = e3 % 59.09/24.41 | % 59.09/24.41 | Equations (415) can reduce 221 to: % 59.09/24.41 | (1898) ~ (all_0_41_41 = e3) % 59.09/24.41 | % 59.09/24.41 | Equations (415) can reduce 59 to: % 59.09/24.41 | (1925) ~ (all_0_51_51 = e3) % 59.09/24.41 | % 59.09/24.41 | Simplifying 1925 yields: % 59.09/24.41 | (664) ~ (all_0_51_51 = e3) % 59.09/24.41 | % 59.09/24.41 | Equations (415) can reduce 93 to: % 59.09/24.41 | (269) ~ (all_0_55_55 = e3) % 59.09/24.41 | % 59.09/24.41 | Simplifying 269 yields: % 59.09/24.41 | (270) ~ (all_0_55_55 = e3) % 59.09/24.41 | % 59.09/24.41 | From (415) and (242) follows: % 59.09/24.41 | (1934) op(e1, e3) = e3 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (7), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (504) all_0_51_51 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (504) can reduce 1099 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (1099) ~ (all_0_51_51 = e2) % 59.09/24.41 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (1100), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (1101) all_0_51_51 = e4 % 59.09/24.41 | % 59.09/24.41 | Equations (1101) can reduce 475 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (475) ~ (all_0_51_51 = e4) % 59.09/24.41 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (1104), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (1109) all_0_51_51 = e1 % 59.09/24.41 | % 59.09/24.41 | Equations (1109) can reduce 61 to: % 59.09/24.41 | (1380) ~ (all_0_42_42 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (1109) can reduce 224 to: % 59.09/24.41 | (462) ~ (all_0_47_47 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (1109) can reduce 475 to: % 59.09/24.41 | (602) ~ (e4 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 602 yields: % 59.09/24.41 | (110) ~ (e4 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (1109) can reduce 664 to: % 59.09/24.41 | (467) ~ (e3 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 467 yields: % 59.09/24.41 | (213) ~ (e3 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (1109) can reduce 115 to: % 59.09/24.41 | (233) ~ (e1 = e0) % 59.09/24.41 | % 59.09/24.41 | From (1109) and (186) follows: % 59.09/24.41 | (699) op(e1, e2) = e1 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (113), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (403) all_0_41_41 = e3 % 59.09/24.41 | % 59.09/24.41 | Equations (403) can reduce 1898 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (1898) ~ (all_0_41_41 = e3) % 59.09/24.41 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (112), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (635) all_0_44_44 = e1 % 59.09/24.41 | % 59.09/24.41 | Equations (635) can reduce 149 to: % 59.09/24.41 | (457) ~ (all_0_41_41 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (635) can reduce 73 to: % 59.09/24.41 | (1380) ~ (all_0_42_42 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (635) can reduce 9 to: % 59.09/24.41 | (1419) ~ (all_0_49_49 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 1419 yields: % 59.09/24.41 | (1064) ~ (all_0_49_49 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (635) can reduce 147 to: % 59.09/24.41 | (604) ~ (e2 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 604 yields: % 59.09/24.41 | (122) ~ (e2 = e1) % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (189), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (532) all_0_44_44 = e3 % 59.09/24.41 | % 59.09/24.41 | Combining equations (532,635) yields a new equation: % 59.09/24.41 | (454) e3 = e1 % 59.09/24.41 | % 59.09/24.41 | Simplifying 454 yields: % 59.09/24.41 | (455) e3 = e1 % 59.09/24.41 | % 59.09/24.41 | Equations (455) can reduce 213 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (407) ~ (all_0_44_44 = e3) % 59.09/24.41 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.09/24.41 | % 59.09/24.41 | Equations (635) can reduce 407 to: % 59.09/24.41 | (467) ~ (e3 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 467 yields: % 59.09/24.41 | (213) ~ (e3 = e1) % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (18), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (453) all_0_41_41 = e1 % 59.09/24.41 | % 59.09/24.41 | Equations (453) can reduce 457 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (457) ~ (all_0_41_41 = e1) % 59.09/24.41 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (216), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (629) all_0_55_55 = e1 % 59.09/24.41 | % 59.09/24.41 | Equations (629) can reduce 191 to: % 59.09/24.41 | (457) ~ (all_0_41_41 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (629) can reduce 3 to: % 59.09/24.41 | (879) ~ (all_0_58_58 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 879 yields: % 59.09/24.41 | (880) ~ (all_0_58_58 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (629) can reduce 270 to: % 59.09/24.41 | (467) ~ (e3 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 467 yields: % 59.09/24.41 | (213) ~ (e3 = e1) % 59.09/24.41 | % 59.09/24.41 | Equations (629) can reduce 304 to: % 59.09/24.41 | (604) ~ (e2 = e1) % 59.09/24.41 | % 59.09/24.41 | Simplifying 604 yields: % 59.09/24.41 | (122) ~ (e2 = e1) % 59.09/24.41 | % 59.09/24.41 | From (629) and (74) follows: % 59.09/24.41 | (6587) op(e0, e3) = e1 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (108), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (624) all_0_58_58 = e2 % 59.09/24.41 | % 59.09/24.41 | Equations (624) can reduce 908 to: % 59.09/24.41 | (266) $false % 59.09/24.41 | % 59.09/24.41 |-The branch is then unsatisfiable % 59.09/24.41 |-Branch two: % 59.09/24.41 | (908) ~ (all_0_58_58 = e2) % 59.09/24.41 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.09/24.41 | % 59.09/24.41 +-Applying beta-rule and splitting (27), into two cases. % 59.09/24.41 |-Branch one: % 59.09/24.41 | (437) all_0_41_41 = e4 % 59.09/24.41 | % 59.09/24.41 | Equations (437) can reduce 214 to: % 59.09/24.41 | (1901) ~ (all_0_42_42 = e4) % 59.09/24.41 | % 59.09/24.41 | Simplifying 1901 yields: % 59.09/24.41 | (1890) ~ (all_0_42_42 = e4) % 59.09/24.41 | % 59.09/24.41 | Equations (437) can reduce 85 to: % 59.09/24.41 | (48) ~ (e4 = e2) % 59.09/24.41 | % 59.09/24.41 | Equations (437) can reduce 457 to: % 59.09/24.41 | (110) ~ (e4 = e1) % 59.09/24.41 | % 59.09/24.41 | From (437) and (219) follows: % 59.09/24.42 | (1913) op(e3, e3) = e4 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (152), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (1392) all_0_42_42 = e4 % 59.09/24.42 | % 59.09/24.42 | Equations (1392) can reduce 1890 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (1890) ~ (all_0_42_42 = e4) % 59.09/24.42 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (909), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (910) all_0_58_58 = e4 % 59.09/24.42 | % 59.09/24.42 | Equations (910) can reduce 451 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (451) ~ (all_0_58_58 = e4) % 59.09/24.42 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (1899), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (516) all_0_42_42 = e3 % 59.09/24.42 | % 59.09/24.42 | Equations (516) can reduce 198 to: % 59.09/24.42 | (2538) ~ (all_0_47_47 = e3) % 59.09/24.42 | % 59.09/24.42 | Simplifying 2538 yields: % 59.09/24.42 | (1091) ~ (all_0_47_47 = e3) % 59.09/24.42 | % 59.09/24.42 | Equations (516) can reduce 1890 to: % 59.09/24.42 | (277) ~ (e4 = e3) % 59.09/24.42 | % 59.09/24.42 | Simplifying 277 yields: % 59.09/24.42 | (188) ~ (e4 = e3) % 59.09/24.42 | % 59.09/24.42 | Equations (516) can reduce 51 to: % 59.09/24.42 | (212) ~ (e3 = e2) % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (78), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (423) all_0_45_45 = e3 % 59.09/24.42 | % 59.09/24.42 | Combining equations (248,423) yields a new equation: % 59.09/24.42 | (424) e4 = e3 % 59.09/24.42 | % 59.09/24.42 | Simplifying 424 yields: % 59.09/24.42 | (425) e4 = e3 % 59.09/24.42 | % 59.09/24.42 | Equations (425) can reduce 188 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (427) ~ (all_0_45_45 = e3) % 59.09/24.42 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (105), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (1105) all_0_47_47 = e2 % 59.09/24.42 | % 59.09/24.42 | Equations (1105) can reduce 338 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (338) ~ (all_0_47_47 = e2) % 59.09/24.42 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (913), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (914) all_0_58_58 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (914) can reduce 119 to: % 59.09/24.42 | (487) ~ (all_0_49_49 = e0) % 59.09/24.42 | % 59.09/24.42 | Equations (914) can reduce 44 to: % 59.09/24.42 | (828) ~ (all_0_56_56 = e0) % 59.09/24.42 | % 59.09/24.42 | Equations (914) can reduce 276 to: % 59.09/24.42 | (541) ~ (e3 = e0) % 59.09/24.42 | % 59.09/24.42 | Simplifying 541 yields: % 59.09/24.42 | (80) ~ (e3 = e0) % 59.09/24.42 | % 59.09/24.42 | Equations (914) can reduce 908 to: % 59.09/24.42 | (365) ~ (e2 = e0) % 59.09/24.42 | % 59.09/24.42 | Simplifying 365 yields: % 59.09/24.42 | (128) ~ (e2 = e0) % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (104), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (480) all_0_39_39 = e0 % 59.09/24.42 | % 59.09/24.42 | Combining equations (480,317) yields a new equation: % 59.09/24.42 | (330) e2 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (330) can reduce 128 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (484) ~ (all_0_39_39 = e0) % 59.09/24.42 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (558), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (559) all_0_42_42 = e0 % 59.09/24.42 | % 59.09/24.42 | Combining equations (516,559) yields a new equation: % 59.09/24.42 | (675) e3 = e0 % 59.09/24.42 | % 59.09/24.42 | Simplifying 675 yields: % 59.09/24.42 | (676) e3 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (676) can reduce 80 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (358) ~ (all_0_42_42 = e0) % 59.09/24.42 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (54), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (583) all_0_49_49 = e2 % 59.09/24.42 | % 59.09/24.42 | Equations (583) can reduce 340 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (340) ~ (all_0_49_49 = e2) % 59.09/24.42 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (164), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (471) all_0_39_39 = e4 % 59.09/24.42 | % 59.09/24.42 | Combining equations (471,317) yields a new equation: % 59.09/24.42 | (322) e4 = e2 % 59.09/24.42 | % 59.09/24.42 | Simplifying 322 yields: % 59.09/24.42 | (323) e4 = e2 % 59.09/24.42 | % 59.09/24.42 | Equations (323) can reduce 48 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (1377) ~ (all_0_39_39 = e4) % 59.09/24.42 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (537), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (884) all_0_49_49 = e3 % 59.09/24.42 | % 59.09/24.42 | Equations (884) can reduce 256 to: % 59.09/24.42 | (277) ~ (e4 = e3) % 59.09/24.42 | % 59.09/24.42 | Simplifying 277 yields: % 59.09/24.42 | (188) ~ (e4 = e3) % 59.09/24.42 | % 59.09/24.42 | From (884) and (55) follows: % 59.09/24.42 | (1581) op(e2, e0) = e3 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (1789), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (1790) all_0_47_47 = e4 % 59.09/24.42 | % 59.09/24.42 | Equations (1790) can reduce 252 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (252) ~ (all_0_47_47 = e4) % 59.09/24.42 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (2115), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (1392) all_0_42_42 = e4 % 59.09/24.42 | % 59.09/24.42 | Combining equations (516,1392) yields a new equation: % 59.09/24.42 | (425) e4 = e3 % 59.09/24.42 | % 59.09/24.42 | Equations (425) can reduce 188 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (1890) ~ (all_0_42_42 = e4) % 59.09/24.42 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (563), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (674) all_0_47_47 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (674) can reduce 252 to: % 59.09/24.42 | (401) ~ (e4 = e0) % 59.09/24.42 | % 59.09/24.42 | Simplifying 401 yields: % 59.09/24.42 | (49) ~ (e4 = e0) % 59.09/24.42 | % 59.09/24.42 | Equations (674) can reduce 338 to: % 59.09/24.42 | (365) ~ (e2 = e0) % 59.09/24.42 | % 59.09/24.42 | Simplifying 365 yields: % 59.09/24.42 | (128) ~ (e2 = e0) % 59.09/24.42 | % 59.09/24.42 | Equations (674) can reduce 462 to: % 59.09/24.42 | (435) ~ (e1 = e0) % 59.09/24.42 | % 59.09/24.42 | Simplifying 435 yields: % 59.09/24.42 | (233) ~ (e1 = e0) % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (2246), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (1790) all_0_47_47 = e4 % 59.09/24.42 | % 59.09/24.42 | Combining equations (674,1790) yields a new equation: % 59.09/24.42 | (397) e4 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (397) can reduce 49 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (252) ~ (all_0_47_47 = e4) % 59.09/24.42 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (6548), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (1101) all_0_51_51 = e4 % 59.09/24.42 | % 59.09/24.42 | Combining equations (1109,1101) yields a new equation: % 59.09/24.42 | (630) e4 = e1 % 59.09/24.42 | % 59.09/24.42 | Equations (630) can reduce 110 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (475) ~ (all_0_51_51 = e4) % 59.09/24.42 | (842) all_0_56_56 = e4 % 59.09/24.42 | % 59.09/24.42 | From (842) and (111) follows: % 59.09/24.42 | (2154) op(e0, e2) = e4 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (56), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (696) unit = e2 % 59.09/24.42 | % 59.09/24.42 | From (696) and (24) follows: % 59.09/24.42 | (697) op(e2, e3) = e3 % 59.09/24.42 | % 59.09/24.42 | From (696) and (209) follows: % 59.09/24.42 | (7585) op(e2, e0) = e0 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.09/24.42 | (662) e3 = e2 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.09/24.42 | (676) e3 = e0 % 59.09/24.42 | % 59.09/24.42 | Combining equations (676,662) yields a new equation: % 59.09/24.42 | (330) e2 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (330) can reduce 128 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (707) ~ (unit = e2) % 59.09/24.42 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (708), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (709) unit = e4 % 59.09/24.42 | % 59.09/24.42 | From (709) and (211) follows: % 59.09/24.42 | (22527) op(e4, e1) = e1 % 59.09/24.42 | % 59.09/24.42 | From (709) and (42) follows: % 59.09/24.42 | (713) op(e0, e4) = e0 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.09/24.42 | (455) e3 = e1 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.09/24.42 | (676) e3 = e0 % 59.09/24.42 | % 59.09/24.42 | Combining equations (455,676) yields a new equation: % 59.09/24.42 | (546) e1 = e0 % 59.09/24.42 | % 59.09/24.42 | Simplifying 546 yields: % 59.09/24.42 | (431) e1 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (431) can reduce 233 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (724) ~ (unit = e4) % 59.09/24.42 | (725) unit = e3 | unit = e1 | unit = e0 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (725), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (726) unit = e0 % 59.09/24.42 | % 59.09/24.42 | From (726) and (244) follows: % 59.09/24.42 | (2207) op(e0, e4) = e4 % 59.09/24.42 | % 59.09/24.42 | From (726) and (24) follows: % 59.09/24.42 | (2208) op(e0, e3) = e3 % 59.09/24.42 | % 59.09/24.42 | From (726) and (15) follows: % 59.09/24.42 | (1508) op(e0, e2) = e2 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.09/24.42 | (425) e4 = e3 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 59.09/24.42 | (455) e3 = e1 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.09/24.42 | (323) e4 = e2 % 59.09/24.42 | % 59.09/24.42 | Combining equations (425,323) yields a new equation: % 59.09/24.42 | (661) e3 = e2 % 59.09/24.42 | % 59.09/24.42 | Simplifying 661 yields: % 59.09/24.42 | (662) e3 = e2 % 59.09/24.42 | % 59.09/24.42 | Combining equations (455,662) yields a new equation: % 59.09/24.42 | (617) e2 = e1 % 59.09/24.42 | % 59.09/24.42 | Equations (617) can reduce 122 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (734) ~ (unit = e0) % 59.09/24.42 | (735) unit = e3 | unit = e1 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (735), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.42 | (736) unit = e1 % 59.09/24.42 | % 59.09/24.42 | Equations (736) can reduce 734 to: % 59.09/24.42 | (233) ~ (e1 = e0) % 59.09/24.42 | % 59.09/24.42 | From (736) and (15) follows: % 59.09/24.42 | (515) op(e1, e2) = e2 % 59.09/24.42 | % 59.09/24.42 | From (736) and (42) follows: % 59.09/24.42 | (3221) op(e0, e1) = e0 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 59.09/24.42 | (617) e2 = e1 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 59.09/24.42 | (330) e2 = e0 % 59.09/24.42 | % 59.09/24.42 | Combining equations (617,330) yields a new equation: % 59.09/24.42 | (546) e1 = e0 % 59.09/24.42 | % 59.09/24.42 | Simplifying 546 yields: % 59.09/24.42 | (431) e1 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (431) can reduce 233 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (748) ~ (unit = e1) % 59.09/24.42 | (749) unit = e3 % 59.09/24.42 | % 59.09/24.42 | From (749) and (244) follows: % 59.09/24.42 | (750) op(e3, e4) = e4 % 59.09/24.42 | % 59.09/24.42 | From (749) and (227) follows: % 59.09/24.42 | (22570) op(e4, e3) = e4 % 59.09/24.42 | % 59.09/24.42 | From (749) and (40) follows: % 59.09/24.42 | (3715) op(e3, e3) = e3 % 59.09/24.42 | % 59.09/24.42 | From (749) and (28) follows: % 59.09/24.42 | (2235) op(e1, e3) = e1 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 59.09/24.42 | (397) e4 = e0 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.09/24.42 | (323) e4 = e2 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 59.09/24.42 | (425) e4 = e3 % 59.09/24.42 | % 59.09/24.42 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.09/24.42 | (455) e3 = e1 % 59.09/24.42 | % 59.09/24.42 | Combining equations (397,323) yields a new equation: % 59.09/24.42 | (330) e2 = e0 % 59.09/24.42 | % 59.09/24.42 | Combining equations (425,323) yields a new equation: % 59.09/24.42 | (661) e3 = e2 % 59.09/24.42 | % 59.09/24.42 | Simplifying 661 yields: % 59.09/24.42 | (662) e3 = e2 % 59.09/24.42 | % 59.09/24.42 | Combining equations (662,455) yields a new equation: % 59.09/24.42 | (616) e2 = e1 % 59.09/24.42 | % 59.09/24.42 | Simplifying 616 yields: % 59.09/24.42 | (617) e2 = e1 % 59.09/24.42 | % 59.09/24.42 | Combining equations (617,330) yields a new equation: % 59.09/24.42 | (546) e1 = e0 % 59.09/24.42 | % 59.09/24.42 | Simplifying 546 yields: % 59.09/24.42 | (431) e1 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (431) can reduce 233 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (678) ~ (all_0_47_47 = e0) % 59.09/24.42 | (679) all_0_56_56 = e0 % 59.09/24.42 | % 59.09/24.42 | Equations (679) can reduce 828 to: % 59.09/24.42 | (266) $false % 59.09/24.42 | % 59.09/24.42 |-The branch is then unsatisfiable % 59.09/24.42 |-Branch two: % 59.09/24.42 | (525) ~ (all_0_49_49 = e3) % 59.09/24.42 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.09/24.42 | % 59.09/24.42 +-Applying beta-rule and splitting (586), into two cases. % 59.09/24.42 |-Branch one: % 59.09/24.43 | (974) all_0_49_49 = e4 % 59.09/24.43 | % 59.09/24.43 | Equations (974) can reduce 256 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (256) ~ (all_0_49_49 = e4) % 59.09/24.43 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (977), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (978) all_0_49_49 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (978) can reduce 487 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (487) ~ (all_0_49_49 = e0) % 59.09/24.43 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (981), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (671) all_0_49_49 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (671) can reduce 1064 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (1064) ~ (all_0_49_49 = e1) % 59.09/24.43 | (884) all_0_49_49 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (884) can reduce 525 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (491) ~ (all_0_58_58 = e0) % 59.09/24.43 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (428), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (1557) all_0_46_46 = e3 % 59.09/24.43 | % 59.09/24.43 | Combining equations (1794,1557) yields a new equation: % 59.09/24.43 | (662) e3 = e2 % 59.09/24.43 | % 59.09/24.43 | Equations (662) can reduce 212 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (409) ~ (all_0_46_46 = e3) % 59.09/24.43 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (1561), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (522) all_0_47_47 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (522) can reduce 1091 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (1091) ~ (all_0_47_47 = e3) % 59.09/24.43 | (884) all_0_49_49 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (884) can reduce 119 to: % 59.09/24.43 | (275) ~ (all_0_58_58 = e3) % 59.09/24.43 | % 59.09/24.43 | Simplifying 275 yields: % 59.09/24.43 | (276) ~ (all_0_58_58 = e3) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (917), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (918) all_0_58_58 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (918) can reduce 880 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (880) ~ (all_0_58_58 = e1) % 59.09/24.43 | (795) all_0_58_58 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (795) can reduce 276 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (405) ~ (all_0_42_42 = e3) % 59.09/24.43 | (532) all_0_44_44 = e3 % 59.09/24.43 | % 59.09/24.43 | Combining equations (635,532) yields a new equation: % 59.09/24.43 | (455) e3 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (455) can reduce 213 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (440) ~ (all_0_41_41 = e4) % 59.09/24.43 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (4049), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (794) all_0_41_41 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (794) can reduce 357 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (357) ~ (all_0_41_41 = e0) % 59.09/24.43 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (4053), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (453) all_0_41_41 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (453) can reduce 457 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (457) ~ (all_0_41_41 = e1) % 59.09/24.43 | (403) all_0_41_41 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (403) can reduce 1898 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (632) ~ (all_0_55_55 = e1) % 59.09/24.43 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (1899), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (516) all_0_42_42 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (516) can reduce 1380 to: % 59.09/24.43 | (213) ~ (e3 = e1) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (595), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (545) all_0_46_46 = e1 % 59.09/24.43 | % 59.09/24.43 | Combining equations (1794,545) yields a new equation: % 59.09/24.43 | (616) e2 = e1 % 59.09/24.43 | % 59.09/24.43 | Simplifying 616 yields: % 59.09/24.43 | (617) e2 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (617) can reduce 122 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (549) ~ (all_0_46_46 = e1) % 59.09/24.43 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (600), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (601) all_0_50_50 = e1 % 59.09/24.43 | % 59.09/24.43 | Combining equations (415,601) yields a new equation: % 59.09/24.43 | (454) e3 = e1 % 59.09/24.43 | % 59.09/24.43 | Simplifying 454 yields: % 59.09/24.43 | (455) e3 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (455) can reduce 213 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (759) ~ (all_0_50_50 = e1) % 59.09/24.43 | (629) all_0_55_55 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (629) can reduce 632 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (405) ~ (all_0_42_42 = e3) % 59.09/24.43 | (532) all_0_44_44 = e3 % 59.09/24.43 | % 59.09/24.43 | Combining equations (532,635) yields a new equation: % 59.09/24.43 | (454) e3 = e1 % 59.09/24.43 | % 59.09/24.43 | Simplifying 454 yields: % 59.09/24.43 | (455) e3 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (455) can reduce 213 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (639) ~ (all_0_44_44 = e1) % 59.09/24.43 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (640), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (671) all_0_49_49 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (671) can reduce 1064 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (1064) ~ (all_0_49_49 = e1) % 59.09/24.43 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (103), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (453) all_0_41_41 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (453) can reduce 149 to: % 59.09/24.43 | (4057) ~ (all_0_44_44 = e1) % 59.09/24.43 | % 59.09/24.43 | Simplifying 4057 yields: % 59.09/24.43 | (639) ~ (all_0_44_44 = e1) % 59.09/24.43 | % 59.09/24.43 | Equations (453) can reduce 85 to: % 59.09/24.43 | (604) ~ (e2 = e1) % 59.09/24.43 | % 59.09/24.43 | Simplifying 604 yields: % 59.09/24.43 | (122) ~ (e2 = e1) % 59.09/24.43 | % 59.09/24.43 | Equations (453) can reduce 357 to: % 59.09/24.43 | (233) ~ (e1 = e0) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (64), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (437) all_0_41_41 = e4 % 59.09/24.43 | % 59.09/24.43 | Combining equations (437,453) yields a new equation: % 59.09/24.43 | (636) e4 = e1 % 59.09/24.43 | % 59.09/24.43 | Simplifying 636 yields: % 59.09/24.43 | (630) e4 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (630) can reduce 110 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (440) ~ (all_0_41_41 = e4) % 59.09/24.43 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (26), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (446) all_0_44_44 = e4 % 59.09/24.43 | % 59.09/24.43 | Equations (446) can reduce 1390 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (1390) ~ (all_0_44_44 = e4) % 59.09/24.43 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (1391), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (1414) all_0_44_44 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (1414) can reduce 360 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (360) ~ (all_0_44_44 = e0) % 59.09/24.43 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (1417), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (635) all_0_44_44 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (635) can reduce 639 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (639) ~ (all_0_44_44 = e1) % 59.09/24.43 | (532) all_0_44_44 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (532) can reduce 73 to: % 59.09/24.43 | (405) ~ (all_0_42_42 = e3) % 59.09/24.43 | % 59.09/24.43 | Equations (532) can reduce 9 to: % 59.09/24.43 | (524) ~ (all_0_49_49 = e3) % 59.09/24.43 | % 59.09/24.43 | Simplifying 524 yields: % 59.09/24.43 | (525) ~ (all_0_49_49 = e3) % 59.09/24.43 | % 59.09/24.43 | Equations (532) can reduce 1390 to: % 59.09/24.43 | (277) ~ (e4 = e3) % 59.09/24.43 | % 59.09/24.43 | Simplifying 277 yields: % 59.09/24.43 | (188) ~ (e4 = e3) % 59.09/24.43 | % 59.09/24.43 | From (532) and (138) follows: % 59.09/24.43 | (1639) op(e3, e0) = e3 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (54), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (583) all_0_49_49 = e2 % 59.09/24.43 | % 59.09/24.43 | Equations (583) can reduce 340 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (340) ~ (all_0_49_49 = e2) % 59.09/24.43 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (180), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (516) all_0_42_42 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (516) can reduce 405 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (405) ~ (all_0_42_42 = e3) % 59.09/24.43 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (152), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (1392) all_0_42_42 = e4 % 59.09/24.43 | % 59.09/24.43 | Equations (1392) can reduce 198 to: % 59.09/24.43 | (251) ~ (all_0_47_47 = e4) % 59.09/24.43 | % 59.09/24.43 | Simplifying 251 yields: % 59.09/24.43 | (252) ~ (all_0_47_47 = e4) % 59.09/24.43 | % 59.09/24.43 | From (1392) and (210) follows: % 59.09/24.43 | (4074) op(e3, e2) = e4 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (586), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (974) all_0_49_49 = e4 % 59.09/24.43 | % 59.09/24.43 | Equations (974) can reduce 256 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (256) ~ (all_0_49_49 = e4) % 59.09/24.43 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (977), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (978) all_0_49_49 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (978) can reduce 86 to: % 59.09/24.43 | (678) ~ (all_0_47_47 = e0) % 59.09/24.43 | % 59.09/24.43 | Equations (978) can reduce 119 to: % 59.09/24.43 | (490) ~ (all_0_58_58 = e0) % 59.09/24.43 | % 59.09/24.43 | Simplifying 490 yields: % 59.09/24.43 | (491) ~ (all_0_58_58 = e0) % 59.09/24.43 | % 59.09/24.43 | Equations (978) can reduce 340 to: % 59.09/24.43 | (365) ~ (e2 = e0) % 59.09/24.43 | % 59.09/24.43 | Simplifying 365 yields: % 59.09/24.43 | (128) ~ (e2 = e0) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (125), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (858) all_0_55_55 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (858) can reduce 803 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (803) ~ (all_0_55_55 = e0) % 59.09/24.43 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (104), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (480) all_0_39_39 = e0 % 59.09/24.43 | % 59.09/24.43 | Combining equations (480,317) yields a new equation: % 59.09/24.43 | (330) e2 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (330) can reduce 128 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (484) ~ (all_0_39_39 = e0) % 59.09/24.43 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (317) can reduce 484 to: % 59.09/24.43 | (128) ~ (e2 = e0) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (105), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (1105) all_0_47_47 = e2 % 59.09/24.43 | % 59.09/24.43 | Equations (1105) can reduce 338 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (338) ~ (all_0_47_47 = e2) % 59.09/24.43 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (2141), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (1208) all_0_53_53 = e1 % 59.09/24.43 | % 59.09/24.43 | Combining equations (607,1208) yields a new equation: % 59.09/24.43 | (616) e2 = e1 % 59.09/24.43 | % 59.09/24.43 | Simplifying 616 yields: % 59.09/24.43 | (617) e2 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (617) can reduce 122 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (1459) ~ (all_0_53_53 = e1) % 59.09/24.43 | (918) all_0_58_58 = e1 % 59.09/24.43 | % 59.09/24.43 | Equations (918) can reduce 44 to: % 59.09/24.43 | (466) ~ (all_0_56_56 = e1) % 59.09/24.43 | % 59.09/24.43 | Equations (918) can reduce 491 to: % 59.09/24.43 | (233) ~ (e1 = e0) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (1789), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (1790) all_0_47_47 = e4 % 59.09/24.43 | % 59.09/24.43 | Equations (1790) can reduce 252 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (252) ~ (all_0_47_47 = e4) % 59.09/24.43 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (521), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (522) all_0_47_47 = e3 % 59.09/24.43 | % 59.09/24.43 | Equations (522) can reduce 338 to: % 59.09/24.43 | (212) ~ (e3 = e2) % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (863), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (679) all_0_56_56 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (679) can reduce 466 to: % 59.09/24.43 | (435) ~ (e1 = e0) % 59.09/24.43 | % 59.09/24.43 | Simplifying 435 yields: % 59.09/24.43 | (233) ~ (e1 = e0) % 59.09/24.43 | % 59.09/24.43 | From (679) and (111) follows: % 59.09/24.43 | (1613) op(e0, e2) = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (56), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (696) unit = e2 % 59.09/24.43 | % 59.09/24.43 | From (696) and (227) follows: % 59.09/24.43 | (4284) op(e4, e2) = e4 % 59.09/24.43 | % 59.09/24.43 | From (696) and (40) follows: % 59.09/24.43 | (4285) op(e3, e2) = e3 % 59.09/24.43 | % 59.09/24.43 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.09/24.43 | (323) e4 = e2 % 59.09/24.43 | % 59.09/24.43 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.09/24.43 | (425) e4 = e3 % 59.09/24.43 | % 59.09/24.43 | Combining equations (323,425) yields a new equation: % 59.09/24.43 | (662) e3 = e2 % 59.09/24.43 | % 59.09/24.43 | Equations (662) can reduce 212 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (707) ~ (unit = e2) % 59.09/24.43 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (708), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (709) unit = e4 % 59.09/24.43 | % 59.09/24.43 | From (709) and (211) follows: % 59.09/24.43 | (22527) op(e4, e1) = e1 % 59.09/24.43 | % 59.09/24.43 | From (709) and (42) follows: % 59.09/24.43 | (713) op(e0, e4) = e0 % 59.09/24.43 | % 59.09/24.43 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.09/24.43 | (455) e3 = e1 % 59.09/24.43 | % 59.09/24.43 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.09/24.43 | (676) e3 = e0 % 59.09/24.43 | % 59.09/24.43 | Combining equations (455,676) yields a new equation: % 59.09/24.43 | (546) e1 = e0 % 59.09/24.43 | % 59.09/24.43 | Simplifying 546 yields: % 59.09/24.43 | (431) e1 = e0 % 59.09/24.43 | % 59.09/24.43 | Equations (431) can reduce 233 to: % 59.09/24.43 | (266) $false % 59.09/24.43 | % 59.09/24.43 |-The branch is then unsatisfiable % 59.09/24.43 |-Branch two: % 59.09/24.43 | (724) ~ (unit = e4) % 59.09/24.43 | (725) unit = e3 | unit = e1 | unit = e0 % 59.09/24.43 | % 59.09/24.43 +-Applying beta-rule and splitting (725), into two cases. % 59.09/24.43 |-Branch one: % 59.09/24.43 | (726) unit = e0 % 59.09/24.43 | % 59.09/24.43 | From (726) and (15) follows: % 59.09/24.44 | (1508) op(e0, e2) = e2 % 59.09/24.44 | % 59.09/24.44 | From (726) and (211) follows: % 59.09/24.44 | (15180) op(e0, e1) = e1 % 59.09/24.44 | % 59.09/24.44 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.09/24.44 | (330) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 59.09/24.44 | (617) e2 = e1 % 59.09/24.44 | % 59.09/24.44 | Combining equations (617,330) yields a new equation: % 59.09/24.44 | (546) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Simplifying 546 yields: % 59.09/24.44 | (431) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (431) can reduce 233 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (734) ~ (unit = e0) % 59.09/24.44 | (735) unit = e3 | unit = e1 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (735), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (736) unit = e1 % 59.09/24.44 | % 59.09/24.44 | Equations (736) can reduce 734 to: % 59.09/24.44 | (233) ~ (e1 = e0) % 59.09/24.44 | % 59.09/24.44 | From (736) and (15) follows: % 59.09/24.44 | (515) op(e1, e2) = e2 % 59.09/24.44 | % 59.09/24.44 | From (736) and (42) follows: % 59.09/24.44 | (3221) op(e0, e1) = e0 % 59.09/24.44 | % 59.09/24.44 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 59.09/24.44 | (617) e2 = e1 % 59.09/24.44 | % 59.09/24.44 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 59.09/24.44 | (330) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Combining equations (617,330) yields a new equation: % 59.09/24.44 | (546) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Simplifying 546 yields: % 59.09/24.44 | (431) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (431) can reduce 233 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (748) ~ (unit = e1) % 59.09/24.44 | (749) unit = e3 % 59.09/24.44 | % 59.09/24.44 | From (749) and (209) follows: % 59.09/24.44 | (1667) op(e3, e0) = e0 % 59.09/24.44 | % 59.09/24.44 | From (749) and (28) follows: % 59.09/24.44 | (2235) op(e1, e3) = e1 % 59.09/24.44 | % 59.09/24.44 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.09/24.44 | (676) e3 = e0 % 59.09/24.44 | % 59.09/24.44 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.09/24.44 | (455) e3 = e1 % 59.09/24.44 | % 59.09/24.44 | Combining equations (455,676) yields a new equation: % 59.09/24.44 | (546) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Simplifying 546 yields: % 59.09/24.44 | (431) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (431) can reduce 233 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (828) ~ (all_0_56_56 = e0) % 59.09/24.44 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (924), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (875) all_0_57_57 = e0 % 59.09/24.44 | % 59.09/24.44 | Combining equations (442,875) yields a new equation: % 59.09/24.44 | (391) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Simplifying 391 yields: % 59.09/24.44 | (330) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (330) can reduce 128 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (364) ~ (all_0_57_57 = e0) % 59.09/24.44 | (914) all_0_58_58 = e0 % 59.09/24.44 | % 59.09/24.44 | Combining equations (914,918) yields a new equation: % 59.09/24.44 | (431) e1 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (431) can reduce 233 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (1091) ~ (all_0_47_47 = e3) % 59.09/24.44 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (1793), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (674) all_0_47_47 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (674) can reduce 678 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (678) ~ (all_0_47_47 = e0) % 59.09/24.44 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (1831), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (654) all_0_47_47 = e1 % 59.09/24.44 | % 59.09/24.44 | Equations (654) can reduce 462 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (462) ~ (all_0_47_47 = e1) % 59.09/24.44 | (522) all_0_47_47 = e3 % 59.09/24.44 | % 59.09/24.44 | Equations (522) can reduce 1091 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (487) ~ (all_0_49_49 = e0) % 59.09/24.44 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (981), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (671) all_0_49_49 = e1 % 59.09/24.44 | % 59.09/24.44 | Equations (671) can reduce 1064 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (1064) ~ (all_0_49_49 = e1) % 59.09/24.44 | (884) all_0_49_49 = e3 % 59.09/24.44 | % 59.09/24.44 | Equations (884) can reduce 525 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (1890) ~ (all_0_42_42 = e4) % 59.09/24.44 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (78), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (423) all_0_45_45 = e3 % 59.09/24.44 | % 59.09/24.44 | Combining equations (248,423) yields a new equation: % 59.09/24.44 | (424) e4 = e3 % 59.09/24.44 | % 59.09/24.44 | Simplifying 424 yields: % 59.09/24.44 | (425) e4 = e3 % 59.09/24.44 | % 59.09/24.44 | Equations (425) can reduce 188 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (427) ~ (all_0_45_45 = e3) % 59.09/24.44 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.09/24.44 | % 59.09/24.44 | Equations (248) can reduce 427 to: % 59.09/24.44 | (188) ~ (e4 = e3) % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (586), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (974) all_0_49_49 = e4 % 59.09/24.44 | % 59.09/24.44 | Equations (974) can reduce 256 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (256) ~ (all_0_49_49 = e4) % 59.09/24.44 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (977), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (978) all_0_49_49 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (978) can reduce 86 to: % 59.09/24.44 | (678) ~ (all_0_47_47 = e0) % 59.09/24.44 | % 59.09/24.44 | Equations (978) can reduce 256 to: % 59.09/24.44 | (401) ~ (e4 = e0) % 59.09/24.44 | % 59.09/24.44 | Simplifying 401 yields: % 59.09/24.44 | (49) ~ (e4 = e0) % 59.09/24.44 | % 59.09/24.44 | Equations (978) can reduce 340 to: % 59.09/24.44 | (365) ~ (e2 = e0) % 59.09/24.44 | % 59.09/24.44 | Simplifying 365 yields: % 59.09/24.44 | (128) ~ (e2 = e0) % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (104), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (480) all_0_39_39 = e0 % 59.09/24.44 | % 59.09/24.44 | Combining equations (480,317) yields a new equation: % 59.09/24.44 | (330) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (330) can reduce 128 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (484) ~ (all_0_39_39 = e0) % 59.09/24.44 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (558), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (559) all_0_42_42 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (559) can reduce 358 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (358) ~ (all_0_42_42 = e0) % 59.09/24.44 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (563), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (674) all_0_47_47 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (674) can reduce 678 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (678) ~ (all_0_47_47 = e0) % 59.09/24.44 | (679) all_0_56_56 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (679) can reduce 91 to: % 59.09/24.44 | (678) ~ (all_0_47_47 = e0) % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (105), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (1105) all_0_47_47 = e2 % 59.09/24.44 | % 59.09/24.44 | Equations (1105) can reduce 338 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (338) ~ (all_0_47_47 = e2) % 59.09/24.44 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (62), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (321) all_0_38_38 = e4 % 59.09/24.44 | % 59.09/24.44 | Combining equations (321,329) yields a new equation: % 59.09/24.44 | (481) e4 = e0 % 59.09/24.44 | % 59.09/24.44 | Simplifying 481 yields: % 59.09/24.44 | (397) e4 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (397) can reduce 49 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (325) ~ (all_0_38_38 = e4) % 59.09/24.44 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 59.09/24.44 | % 59.09/24.44 | Equations (329) can reduce 325 to: % 59.09/24.44 | (401) ~ (e4 = e0) % 59.09/24.44 | % 59.09/24.44 | Simplifying 401 yields: % 59.09/24.44 | (49) ~ (e4 = e0) % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (441), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (1392) all_0_42_42 = e4 % 59.09/24.44 | % 59.09/24.44 | Equations (1392) can reduce 1890 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (1890) ~ (all_0_42_42 = e4) % 59.09/24.44 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (1789), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (1790) all_0_47_47 = e4 % 59.09/24.44 | % 59.09/24.44 | Equations (1790) can reduce 252 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (252) ~ (all_0_47_47 = e4) % 59.09/24.44 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (1793), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (674) all_0_47_47 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (674) can reduce 678 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (678) ~ (all_0_47_47 = e0) % 59.09/24.44 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (1831), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (654) all_0_47_47 = e1 % 59.09/24.44 | % 59.09/24.44 | Equations (654) can reduce 462 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (462) ~ (all_0_47_47 = e1) % 59.09/24.44 | (522) all_0_47_47 = e3 % 59.09/24.44 | % 59.09/24.44 | Equations (522) can reduce 252 to: % 59.09/24.44 | (277) ~ (e4 = e3) % 59.09/24.44 | % 59.09/24.44 | Simplifying 277 yields: % 59.09/24.44 | (188) ~ (e4 = e3) % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (1891), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (396) all_0_43_43 = e4 % 59.09/24.44 | % 59.09/24.44 | Combining equations (356,396) yields a new equation: % 59.09/24.44 | (397) e4 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (397) can reduce 49 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (399) ~ (all_0_43_43 = e4) % 59.09/24.44 | (446) all_0_44_44 = e4 % 59.09/24.44 | % 59.09/24.44 | Combining equations (532,446) yields a new equation: % 59.09/24.44 | (425) e4 = e3 % 59.09/24.44 | % 59.09/24.44 | Equations (425) can reduce 188 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (487) ~ (all_0_49_49 = e0) % 59.09/24.44 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (184), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (538) all_0_46_46 = e0 % 59.09/24.44 | % 59.09/24.44 | Combining equations (1794,538) yields a new equation: % 59.09/24.44 | (391) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Simplifying 391 yields: % 59.09/24.44 | (330) e2 = e0 % 59.09/24.44 | % 59.09/24.44 | Equations (330) can reduce 128 to: % 59.09/24.44 | (266) $false % 59.09/24.44 | % 59.09/24.44 |-The branch is then unsatisfiable % 59.09/24.44 |-Branch two: % 59.09/24.44 | (831) ~ (all_0_46_46 = e0) % 59.09/24.44 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.09/24.44 | % 59.09/24.44 +-Applying beta-rule and splitting (832), into two cases. % 59.09/24.44 |-Branch one: % 59.09/24.44 | (674) all_0_47_47 = e0 % 59.09/24.44 | % 59.18/24.44 | Equations (674) can reduce 252 to: % 59.18/24.44 | (401) ~ (e4 = e0) % 59.18/24.44 | % 59.18/24.44 | Simplifying 401 yields: % 59.18/24.44 | (49) ~ (e4 = e0) % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (441), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (1392) all_0_42_42 = e4 % 59.18/24.44 | % 59.18/24.44 | Equations (1392) can reduce 1890 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (1890) ~ (all_0_42_42 = e4) % 59.18/24.44 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (1891), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (396) all_0_43_43 = e4 % 59.18/24.44 | % 59.18/24.44 | Combining equations (356,396) yields a new equation: % 59.18/24.44 | (397) e4 = e0 % 59.18/24.44 | % 59.18/24.44 | Equations (397) can reduce 49 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (399) ~ (all_0_43_43 = e4) % 59.18/24.44 | (446) all_0_44_44 = e4 % 59.18/24.44 | % 59.18/24.44 | Combining equations (532,446) yields a new equation: % 59.18/24.44 | (425) e4 = e3 % 59.18/24.44 | % 59.18/24.44 | Equations (425) can reduce 188 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (678) ~ (all_0_47_47 = e0) % 59.18/24.44 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (1278), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (1279) all_0_48_48 = e0 % 59.18/24.44 | % 59.18/24.44 | Combining equations (1279,615) yields a new equation: % 59.18/24.44 | (431) e1 = e0 % 59.18/24.44 | % 59.18/24.44 | Equations (431) can reduce 233 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (1283) ~ (all_0_48_48 = e0) % 59.18/24.44 | (978) all_0_49_49 = e0 % 59.18/24.44 | % 59.18/24.44 | Equations (978) can reduce 487 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (457) ~ (all_0_41_41 = e1) % 59.18/24.44 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (26), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (446) all_0_44_44 = e4 % 59.18/24.44 | % 59.18/24.44 | Equations (446) can reduce 1390 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (1390) ~ (all_0_44_44 = e4) % 59.18/24.44 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (1391), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (1414) all_0_44_44 = e0 % 59.18/24.44 | % 59.18/24.44 | Equations (1414) can reduce 360 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (360) ~ (all_0_44_44 = e0) % 59.18/24.44 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (1417), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (635) all_0_44_44 = e1 % 59.18/24.44 | % 59.18/24.44 | Equations (635) can reduce 639 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (639) ~ (all_0_44_44 = e1) % 59.18/24.44 | (532) all_0_44_44 = e3 % 59.18/24.44 | % 59.18/24.44 | Equations (532) can reduce 73 to: % 59.18/24.44 | (405) ~ (all_0_42_42 = e3) % 59.18/24.44 | % 59.18/24.44 | Equations (532) can reduce 639 to: % 59.18/24.44 | (213) ~ (e3 = e1) % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (180), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (516) all_0_42_42 = e3 % 59.18/24.44 | % 59.18/24.44 | Equations (516) can reduce 405 to: % 59.18/24.44 | (266) $false % 59.18/24.44 | % 59.18/24.44 |-The branch is then unsatisfiable % 59.18/24.44 |-Branch two: % 59.18/24.44 | (405) ~ (all_0_42_42 = e3) % 59.18/24.44 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (152), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (1392) all_0_42_42 = e4 % 59.18/24.44 | % 59.18/24.44 | Equations (1392) can reduce 1380 to: % 59.18/24.44 | (110) ~ (e4 = e1) % 59.18/24.44 | % 59.18/24.44 +-Applying beta-rule and splitting (458), into two cases. % 59.18/24.44 |-Branch one: % 59.18/24.44 | (459) all_0_42_42 = e1 % 59.18/24.44 | % 59.18/24.44 | Combining equations (459,1392) yields a new equation: % 59.18/24.44 | (630) e4 = e1 % 59.18/24.44 | % 59.18/24.45 | Equations (630) can reduce 110 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.45 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1381), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (430) all_0_43_43 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (430,356) yields a new equation: % 59.18/24.45 | (546) e1 = e0 % 59.18/24.45 | % 59.18/24.45 | Simplifying 546 yields: % 59.18/24.45 | (431) e1 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (431) can reduce 233 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (433) ~ (all_0_43_43 = e1) % 59.18/24.45 | (635) all_0_44_44 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (635,532) yields a new equation: % 59.18/24.45 | (455) e3 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (455) can reduce 213 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1890) ~ (all_0_42_42 = e4) % 59.18/24.45 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1969), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (559) all_0_42_42 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (559) can reduce 358 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (358) ~ (all_0_42_42 = e0) % 59.18/24.45 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (2510), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (459) all_0_42_42 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (459) can reduce 1380 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.45 | (516) all_0_42_42 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (516) can reduce 405 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (464) ~ (all_0_51_51 = e1) % 59.18/24.45 | (660) all_0_51_51 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (660) can reduce 664 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (411) ~ (all_0_50_50 = e3) % 59.18/24.45 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (241), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (378) all_0_50_50 = e2 % 59.18/24.45 | % 59.18/24.45 | Equations (378) can reduce 302 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (302) ~ (all_0_50_50 = e2) % 59.18/24.45 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (418), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (660) all_0_51_51 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (660) can reduce 61 to: % 59.18/24.45 | (405) ~ (all_0_42_42 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (660) can reduce 224 to: % 59.18/24.45 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (660) can reduce 59 to: % 59.18/24.45 | (411) ~ (all_0_50_50 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (660) can reduce 475 to: % 59.18/24.45 | (277) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 277 yields: % 59.18/24.45 | (188) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 | From (660) and (186) follows: % 59.18/24.45 | (1552) op(e1, e2) = e3 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (144), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (403) all_0_41_41 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 214 to: % 59.18/24.45 | (404) ~ (all_0_42_42 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 404 yields: % 59.18/24.45 | (405) ~ (all_0_42_42 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 149 to: % 59.18/24.45 | (406) ~ (all_0_44_44 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 406 yields: % 59.18/24.45 | (407) ~ (all_0_44_44 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 221 to: % 59.18/24.45 | (410) ~ (all_0_50_50 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 410 yields: % 59.18/24.45 | (411) ~ (all_0_50_50 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 191 to: % 59.18/24.45 | (269) ~ (all_0_55_55 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 269 yields: % 59.18/24.45 | (270) ~ (all_0_55_55 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 85 to: % 59.18/24.45 | (212) ~ (e3 = e2) % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 357 to: % 59.18/24.45 | (80) ~ (e3 = e0) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (64), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (437) all_0_41_41 = e4 % 59.18/24.45 | % 59.18/24.45 | Combining equations (437,403) yields a new equation: % 59.18/24.45 | (424) e4 = e3 % 59.18/24.45 | % 59.18/24.45 | Simplifying 424 yields: % 59.18/24.45 | (425) e4 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (425) can reduce 188 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (440) ~ (all_0_41_41 = e4) % 59.18/24.45 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.18/24.45 | % 59.18/24.45 | Equations (403) can reduce 440 to: % 59.18/24.45 | (277) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 277 yields: % 59.18/24.45 | (188) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (189), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (532) all_0_44_44 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (532) can reduce 407 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (407) ~ (all_0_44_44 = e3) % 59.18/24.45 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (422), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (775) all_0_50_50 = e4 % 59.18/24.45 | % 59.18/24.45 | Equations (775) can reduce 566 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (566) ~ (all_0_50_50 = e4) % 59.18/24.45 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (441), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (1392) all_0_42_42 = e4 % 59.18/24.45 | % 59.18/24.45 | Equations (1392) can reduce 405 to: % 59.18/24.45 | (188) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 | From (1392) and (210) follows: % 59.18/24.45 | (4074) op(e3, e2) = e4 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (171), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (265) all_0_54_54 = e4 % 59.18/24.45 | % 59.18/24.45 | Combining equations (268,265) yields a new equation: % 59.18/24.45 | (425) e4 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (425) can reduce 188 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (258) ~ (all_0_54_54 = e4) % 59.18/24.45 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.45 | % 59.18/24.45 | Equations (268) can reduce 258 to: % 59.18/24.45 | (277) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 | Simplifying 277 yields: % 59.18/24.45 | (188) ~ (e4 = e3) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (78), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (423) all_0_45_45 = e3 % 59.18/24.45 | % 59.18/24.45 | Combining equations (248,423) yields a new equation: % 59.18/24.45 | (424) e4 = e3 % 59.18/24.45 | % 59.18/24.45 | Simplifying 424 yields: % 59.18/24.45 | (425) e4 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (425) can reduce 188 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (427) ~ (all_0_45_45 = e3) % 59.18/24.45 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (428), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (1557) all_0_46_46 = e3 % 59.18/24.45 | % 59.18/24.45 | Combining equations (1794,1557) yields a new equation: % 59.18/24.45 | (662) e3 = e2 % 59.18/24.45 | % 59.18/24.45 | Equations (662) can reduce 212 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (409) ~ (all_0_46_46 = e3) % 59.18/24.45 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1444), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (601) all_0_50_50 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (601) can reduce 93 to: % 59.18/24.45 | (2331) ~ (all_0_55_55 = e1) % 59.18/24.45 | % 59.18/24.45 | Simplifying 2331 yields: % 59.18/24.45 | (632) ~ (all_0_55_55 = e1) % 59.18/24.45 | % 59.18/24.45 | Equations (601) can reduce 566 to: % 59.18/24.45 | (602) ~ (e4 = e1) % 59.18/24.45 | % 59.18/24.45 | Simplifying 602 yields: % 59.18/24.45 | (110) ~ (e4 = e1) % 59.18/24.45 | % 59.18/24.45 | Equations (601) can reduce 121 to: % 59.18/24.45 | (233) ~ (e1 = e0) % 59.18/24.45 | % 59.18/24.45 | From (601) and (242) follows: % 59.18/24.45 | (2235) op(e1, e3) = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (174), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (386) all_0_55_55 = e2 % 59.18/24.45 | % 59.18/24.45 | Equations (386) can reduce 304 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (304) ~ (all_0_55_55 = e2) % 59.18/24.45 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1561), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (522) all_0_47_47 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (522) can reduce 1091 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.45 | (884) all_0_49_49 = e3 % 59.18/24.45 | % 59.18/24.45 | Equations (884) can reduce 9 to: % 59.18/24.45 | (407) ~ (all_0_44_44 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (884) can reduce 86 to: % 59.18/24.45 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.45 | % 59.18/24.45 | Equations (884) can reduce 1064 to: % 59.18/24.45 | (213) ~ (e3 = e1) % 59.18/24.45 | % 59.18/24.45 | From (884) and (55) follows: % 59.18/24.45 | (1581) op(e2, e0) = e3 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (103), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (453) all_0_41_41 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (453,403) yields a new equation: % 59.18/24.45 | (455) e3 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (455) can reduce 213 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (457) ~ (all_0_41_41 = e1) % 59.18/24.45 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (458), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (459) all_0_42_42 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (1392,459) yields a new equation: % 59.18/24.45 | (636) e4 = e1 % 59.18/24.45 | % 59.18/24.45 | Simplifying 636 yields: % 59.18/24.45 | (630) e4 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (630) can reduce 110 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.45 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1381), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (430) all_0_43_43 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (356,430) yields a new equation: % 59.18/24.45 | (431) e1 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (431) can reduce 233 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (433) ~ (all_0_43_43 = e1) % 59.18/24.45 | (635) all_0_44_44 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (635) can reduce 181 to: % 59.18/24.45 | (879) ~ (all_0_58_58 = e1) % 59.18/24.45 | % 59.18/24.45 | Simplifying 879 yields: % 59.18/24.45 | (880) ~ (all_0_58_58 = e1) % 59.18/24.45 | % 59.18/24.45 | Equations (635) can reduce 407 to: % 59.18/24.45 | (467) ~ (e3 = e1) % 59.18/24.45 | % 59.18/24.45 | Simplifying 467 yields: % 59.18/24.45 | (213) ~ (e3 = e1) % 59.18/24.45 | % 59.18/24.45 | Equations (635) can reduce 360 to: % 59.18/24.45 | (233) ~ (e1 = e0) % 59.18/24.45 | % 59.18/24.45 | From (635) and (138) follows: % 59.18/24.45 | (1423) op(e3, e0) = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (184), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (538) all_0_46_46 = e0 % 59.18/24.45 | % 59.18/24.45 | Combining equations (1794,538) yields a new equation: % 59.18/24.45 | (391) e2 = e0 % 59.18/24.45 | % 59.18/24.45 | Simplifying 391 yields: % 59.18/24.45 | (330) e2 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (330) can reduce 128 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (831) ~ (all_0_46_46 = e0) % 59.18/24.45 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (2051), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (587) all_0_55_55 = e4 % 59.18/24.45 | % 59.18/24.45 | Equations (587) can reduce 632 to: % 59.18/24.45 | (110) ~ (e4 = e1) % 59.18/24.45 | % 59.18/24.45 | Equations (587) can reduce 803 to: % 59.18/24.45 | (49) ~ (e4 = e0) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (75), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (485) all_0_40_40 = e0 % 59.18/24.45 | % 59.18/24.45 | Combining equations (1378,485) yields a new equation: % 59.18/24.45 | (481) e4 = e0 % 59.18/24.45 | % 59.18/24.45 | Simplifying 481 yields: % 59.18/24.45 | (397) e4 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (397) can reduce 49 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1401) ~ (all_0_40_40 = e0) % 59.18/24.45 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1748), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (1414) all_0_44_44 = e0 % 59.18/24.45 | % 59.18/24.45 | Combining equations (635,1414) yields a new equation: % 59.18/24.45 | (546) e1 = e0 % 59.18/24.45 | % 59.18/24.45 | Simplifying 546 yields: % 59.18/24.45 | (431) e1 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (431) can reduce 233 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (360) ~ (all_0_44_44 = e0) % 59.18/24.45 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (635) can reduce 360 to: % 59.18/24.45 | (233) ~ (e1 = e0) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (832), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (674) all_0_47_47 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (674) can reduce 1091 to: % 59.18/24.45 | (541) ~ (e3 = e0) % 59.18/24.45 | % 59.18/24.45 | Simplifying 541 yields: % 59.18/24.45 | (80) ~ (e3 = e0) % 59.18/24.45 | % 59.18/24.45 | From (674) and (23) follows: % 59.18/24.45 | (3148) op(e2, e2) = e0 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (133), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (833) all_0_56_56 = e2 % 59.18/24.45 | % 59.18/24.45 | Equations (833) can reduce 511 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (511) ~ (all_0_56_56 = e2) % 59.18/24.45 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (216), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (629) all_0_55_55 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (587,629) yields a new equation: % 59.18/24.45 | (636) e4 = e1 % 59.18/24.45 | % 59.18/24.45 | Simplifying 636 yields: % 59.18/24.45 | (630) e4 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (630) can reduce 110 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (632) ~ (all_0_55_55 = e1) % 59.18/24.45 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (587) can reduce 632 to: % 59.18/24.45 | (110) ~ (e4 = e1) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (131), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (459) all_0_42_42 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (459,1392) yields a new equation: % 59.18/24.45 | (630) e4 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (630) can reduce 110 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.45 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (1760), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (978) all_0_49_49 = e0 % 59.18/24.45 | % 59.18/24.45 | Combining equations (884,978) yields a new equation: % 59.18/24.45 | (675) e3 = e0 % 59.18/24.45 | % 59.18/24.45 | Simplifying 675 yields: % 59.18/24.45 | (676) e3 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (676) can reduce 80 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (487) ~ (all_0_49_49 = e0) % 59.18/24.45 | (914) all_0_58_58 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (914) can reduce 44 to: % 59.18/24.45 | (828) ~ (all_0_56_56 = e0) % 59.18/24.45 | % 59.18/24.45 | Equations (914) can reduce 880 to: % 59.18/24.45 | (435) ~ (e1 = e0) % 59.18/24.45 | % 59.18/24.45 | Simplifying 435 yields: % 59.18/24.45 | (233) ~ (e1 = e0) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (3259), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (654) all_0_47_47 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (674,654) yields a new equation: % 59.18/24.45 | (431) e1 = e0 % 59.18/24.45 | % 59.18/24.45 | Equations (431) can reduce 233 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (462) ~ (all_0_47_47 = e1) % 59.18/24.45 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (3264), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (1109) all_0_51_51 = e1 % 59.18/24.45 | % 59.18/24.45 | Combining equations (660,1109) yields a new equation: % 59.18/24.45 | (454) e3 = e1 % 59.18/24.45 | % 59.18/24.45 | Simplifying 454 yields: % 59.18/24.45 | (455) e3 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (455) can reduce 213 to: % 59.18/24.45 | (266) $false % 59.18/24.45 | % 59.18/24.45 |-The branch is then unsatisfiable % 59.18/24.45 |-Branch two: % 59.18/24.45 | (464) ~ (all_0_51_51 = e1) % 59.18/24.45 | (1569) all_0_56_56 = e1 % 59.18/24.45 | % 59.18/24.45 | Equations (1569) can reduce 511 to: % 59.18/24.45 | (604) ~ (e2 = e1) % 59.18/24.45 | % 59.18/24.45 | Simplifying 604 yields: % 59.18/24.45 | (122) ~ (e2 = e1) % 59.18/24.45 | % 59.18/24.45 | Equations (1569) can reduce 828 to: % 59.18/24.45 | (233) ~ (e1 = e0) % 59.18/24.45 | % 59.18/24.45 +-Applying beta-rule and splitting (56), into two cases. % 59.18/24.45 |-Branch one: % 59.18/24.45 | (696) unit = e2 % 59.18/24.45 | % 59.18/24.45 | From (696) and (227) follows: % 59.18/24.45 | (4284) op(e4, e2) = e4 % 59.18/24.45 | % 59.18/24.45 | From (696) and (40) follows: % 59.18/24.46 | (4285) op(e3, e2) = e3 % 59.18/24.46 | % 59.18/24.46 | From (696) and (32) follows: % 59.18/24.46 | (698) op(e2, e2) = e2 % 59.18/24.46 | % 59.18/24.46 | From (696) and (28) follows: % 59.18/24.46 | (699) op(e1, e2) = e1 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.18/24.46 | (323) e4 = e2 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.18/24.46 | (425) e4 = e3 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 59.18/24.46 | (330) e2 = e0 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.18/24.46 | (455) e3 = e1 % 59.18/24.46 | % 59.18/24.46 | Combining equations (323,425) yields a new equation: % 59.18/24.46 | (662) e3 = e2 % 59.18/24.46 | % 59.18/24.46 | Combining equations (662,455) yields a new equation: % 59.18/24.46 | (616) e2 = e1 % 59.18/24.46 | % 59.18/24.46 | Simplifying 616 yields: % 59.18/24.46 | (617) e2 = e1 % 59.18/24.46 | % 59.18/24.46 | Combining equations (617,330) yields a new equation: % 59.18/24.46 | (546) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 546 yields: % 59.18/24.46 | (431) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (431) can reduce 233 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (707) ~ (unit = e2) % 59.18/24.46 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (708), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (709) unit = e4 % 59.18/24.46 | % 59.18/24.46 | From (709) and (211) follows: % 59.18/24.46 | (22527) op(e4, e1) = e1 % 59.18/24.46 | % 59.18/24.46 | From (709) and (42) follows: % 59.18/24.46 | (713) op(e0, e4) = e0 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.18/24.46 | (455) e3 = e1 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.18/24.46 | (676) e3 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (455,676) yields a new equation: % 59.18/24.46 | (546) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 546 yields: % 59.18/24.46 | (431) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (431) can reduce 233 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (724) ~ (unit = e4) % 59.18/24.46 | (725) unit = e3 | unit = e1 | unit = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (725), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (726) unit = e0 % 59.18/24.46 | % 59.18/24.46 | From (726) and (40) follows: % 59.18/24.46 | (1639) op(e3, e0) = e3 % 59.18/24.46 | % 59.18/24.46 | From (726) and (32) follows: % 59.18/24.46 | (727) op(e2, e0) = e2 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e3, e0, e3, e1 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e1, yields: % 59.18/24.46 | (455) e3 = e1 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.18/24.46 | (662) e3 = e2 % 59.18/24.46 | % 59.18/24.46 | Combining equations (662,455) yields a new equation: % 59.18/24.46 | (616) e2 = e1 % 59.18/24.46 | % 59.18/24.46 | Simplifying 616 yields: % 59.18/24.46 | (617) e2 = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (617) can reduce 122 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (734) ~ (unit = e0) % 59.18/24.46 | (735) unit = e3 | unit = e1 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (735), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (736) unit = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (736) can reduce 734 to: % 59.18/24.46 | (233) ~ (e1 = e0) % 59.18/24.46 | % 59.18/24.46 | From (736) and (24) follows: % 59.18/24.46 | (1934) op(e1, e3) = e3 % 59.18/24.46 | % 59.18/24.46 | From (736) and (15) follows: % 59.18/24.46 | (515) op(e1, e2) = e2 % 59.18/24.46 | % 59.18/24.46 | From (736) and (42) follows: % 59.18/24.46 | (3221) op(e0, e1) = e0 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.18/24.46 | (455) e3 = e1 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.18/24.46 | (662) e3 = e2 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 59.18/24.46 | (330) e2 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (662,455) yields a new equation: % 59.18/24.46 | (616) e2 = e1 % 59.18/24.46 | % 59.18/24.46 | Simplifying 616 yields: % 59.18/24.46 | (617) e2 = e1 % 59.18/24.46 | % 59.18/24.46 | Combining equations (617,330) yields a new equation: % 59.18/24.46 | (546) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 546 yields: % 59.18/24.46 | (431) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (431) can reduce 233 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (748) ~ (unit = e1) % 59.18/24.46 | (749) unit = e3 % 59.18/24.46 | % 59.18/24.46 | From (749) and (209) follows: % 59.18/24.46 | (1667) op(e3, e0) = e0 % 59.18/24.46 | % 59.18/24.46 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 59.18/24.46 | (431) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (431) can reduce 233 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (678) ~ (all_0_47_47 = e0) % 59.18/24.46 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (1278), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (1279) all_0_48_48 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (615,1279) yields a new equation: % 59.18/24.46 | (546) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 546 yields: % 59.18/24.46 | (431) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (431) can reduce 233 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (1283) ~ (all_0_48_48 = e0) % 59.18/24.46 | (978) all_0_49_49 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (884,978) yields a new equation: % 59.18/24.46 | (675) e3 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 675 yields: % 59.18/24.46 | (676) e3 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (676) can reduce 80 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (763) ~ (all_0_55_55 = e4) % 59.18/24.46 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (2055), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (858) all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (858) can reduce 803 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (803) ~ (all_0_55_55 = e0) % 59.18/24.46 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (216), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (629) all_0_55_55 = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (629) can reduce 632 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (632) ~ (all_0_55_55 = e1) % 59.18/24.46 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (2315), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (629) all_0_55_55 = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (629) can reduce 632 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (632) ~ (all_0_55_55 = e1) % 59.18/24.46 | (2336) all_0_55_55 = e3 % 59.18/24.46 | % 59.18/24.46 | Equations (2336) can reduce 270 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (759) ~ (all_0_50_50 = e1) % 59.18/24.46 | (415) all_0_50_50 = e3 % 59.18/24.46 | % 59.18/24.46 | Equations (415) can reduce 411 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (1890) ~ (all_0_42_42 = e4) % 59.18/24.46 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (78), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (423) all_0_45_45 = e3 % 59.18/24.46 | % 59.18/24.46 | Combining equations (423,248) yields a new equation: % 59.18/24.46 | (425) e4 = e3 % 59.18/24.46 | % 59.18/24.46 | Equations (425) can reduce 188 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (427) ~ (all_0_45_45 = e3) % 59.18/24.46 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (537), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (884) all_0_49_49 = e3 % 59.18/24.46 | % 59.18/24.46 | Equations (884) can reduce 1064 to: % 59.18/24.46 | (213) ~ (e3 = e1) % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (26), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (446) all_0_44_44 = e4 % 59.18/24.46 | % 59.18/24.46 | Equations (446) can reduce 1390 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (1390) ~ (all_0_44_44 = e4) % 59.18/24.46 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (160), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (601) all_0_50_50 = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (601) can reduce 93 to: % 59.18/24.46 | (2331) ~ (all_0_55_55 = e1) % 59.18/24.46 | % 59.18/24.46 | Simplifying 2331 yields: % 59.18/24.46 | (632) ~ (all_0_55_55 = e1) % 59.18/24.46 | % 59.18/24.46 | Equations (601) can reduce 121 to: % 59.18/24.46 | (233) ~ (e1 = e0) % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (184), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (538) all_0_46_46 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (1794,538) yields a new equation: % 59.18/24.46 | (391) e2 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 391 yields: % 59.18/24.46 | (330) e2 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (330) can reduce 128 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (831) ~ (all_0_46_46 = e0) % 59.18/24.46 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (174), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (386) all_0_55_55 = e2 % 59.18/24.46 | % 59.18/24.46 | Equations (386) can reduce 304 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (304) ~ (all_0_55_55 = e2) % 59.18/24.46 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (2051), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (587) all_0_55_55 = e4 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (832), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (674) all_0_47_47 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (674) can reduce 252 to: % 59.18/24.46 | (401) ~ (e4 = e0) % 59.18/24.46 | % 59.18/24.46 | Simplifying 401 yields: % 59.18/24.46 | (49) ~ (e4 = e0) % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (125), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (858) all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (587,858) yields a new equation: % 59.18/24.46 | (481) e4 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 481 yields: % 59.18/24.46 | (397) e4 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (397) can reduce 49 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (803) ~ (all_0_55_55 = e0) % 59.18/24.46 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (587) can reduce 803 to: % 59.18/24.46 | (49) ~ (e4 = e0) % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (1891), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (396) all_0_43_43 = e4 % 59.18/24.46 | % 59.18/24.46 | Combining equations (356,396) yields a new equation: % 59.18/24.46 | (397) e4 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (397) can reduce 49 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (399) ~ (all_0_43_43 = e4) % 59.18/24.46 | (446) all_0_44_44 = e4 % 59.18/24.46 | % 59.18/24.46 | Equations (446) can reduce 1390 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (678) ~ (all_0_47_47 = e0) % 59.18/24.46 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (1278), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (1279) all_0_48_48 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (615,1279) yields a new equation: % 59.18/24.46 | (546) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 546 yields: % 59.18/24.46 | (431) e1 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (431) can reduce 233 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (1283) ~ (all_0_48_48 = e0) % 59.18/24.46 | (978) all_0_49_49 = e0 % 59.18/24.46 | % 59.18/24.46 | Combining equations (884,978) yields a new equation: % 59.18/24.46 | (675) e3 = e0 % 59.18/24.46 | % 59.18/24.46 | Simplifying 675 yields: % 59.18/24.46 | (676) e3 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (676) can reduce 80 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (763) ~ (all_0_55_55 = e4) % 59.18/24.46 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (125), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (858) all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (858) can reduce 803 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (803) ~ (all_0_55_55 = e0) % 59.18/24.46 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (2055), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (858) all_0_55_55 = e0 % 59.18/24.46 | % 59.18/24.46 | Equations (858) can reduce 803 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (803) ~ (all_0_55_55 = e0) % 59.18/24.46 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (2315), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (629) all_0_55_55 = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (629) can reduce 632 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (632) ~ (all_0_55_55 = e1) % 59.18/24.46 | (2336) all_0_55_55 = e3 % 59.18/24.46 | % 59.18/24.46 | Equations (2336) can reduce 270 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (759) ~ (all_0_50_50 = e1) % 59.18/24.46 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.18/24.46 | % 59.18/24.46 +-Applying beta-rule and splitting (18), into two cases. % 59.18/24.46 |-Branch one: % 59.18/24.46 | (453) all_0_41_41 = e1 % 59.18/24.46 | % 59.18/24.46 | Combining equations (453,403) yields a new equation: % 59.18/24.46 | (455) e3 = e1 % 59.18/24.46 | % 59.18/24.46 | Equations (455) can reduce 213 to: % 59.18/24.46 | (266) $false % 59.18/24.46 | % 59.18/24.46 |-The branch is then unsatisfiable % 59.18/24.46 |-Branch two: % 59.18/24.46 | (457) ~ (all_0_41_41 = e1) % 59.18/24.46 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (595), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (545) all_0_46_46 = e1 % 59.18/24.47 | % 59.18/24.47 | Combining equations (1794,545) yields a new equation: % 59.18/24.47 | (616) e2 = e1 % 59.18/24.47 | % 59.18/24.47 | Simplifying 616 yields: % 59.18/24.47 | (617) e2 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (617) can reduce 122 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (549) ~ (all_0_46_46 = e1) % 59.18/24.47 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (600), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (601) all_0_50_50 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (601) can reduce 759 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (759) ~ (all_0_50_50 = e1) % 59.18/24.47 | (629) all_0_55_55 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (629) can reduce 93 to: % 59.18/24.47 | (759) ~ (all_0_50_50 = e1) % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (1444), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (601) all_0_50_50 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (601) can reduce 759 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (759) ~ (all_0_50_50 = e1) % 59.18/24.47 | (415) all_0_50_50 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (415) can reduce 411 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (525) ~ (all_0_49_49 = e3) % 59.18/24.47 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (428), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (1557) all_0_46_46 = e3 % 59.18/24.47 | % 59.18/24.47 | Combining equations (1794,1557) yields a new equation: % 59.18/24.47 | (662) e3 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (662) can reduce 212 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (409) ~ (all_0_46_46 = e3) % 59.18/24.47 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (1794) can reduce 409 to: % 59.18/24.47 | (626) ~ (e3 = e2) % 59.18/24.47 | % 59.18/24.47 | Simplifying 626 yields: % 59.18/24.47 | (212) ~ (e3 = e2) % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (887), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (665) all_0_53_53 = e3 % 59.18/24.47 | % 59.18/24.47 | Combining equations (607,665) yields a new equation: % 59.18/24.47 | (662) e3 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (662) can reduce 212 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (903) ~ (all_0_53_53 = e3) % 59.18/24.47 | (795) all_0_58_58 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (795) can reduce 276 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.47 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (113), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (403) all_0_41_41 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (403) can reduce 1898 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.47 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (422), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (775) all_0_50_50 = e4 % 59.18/24.47 | % 59.18/24.47 | Equations (775) can reduce 566 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (566) ~ (all_0_50_50 = e4) % 59.18/24.47 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (1899), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (516) all_0_42_42 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (516) can reduce 405 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (405) ~ (all_0_42_42 = e3) % 59.18/24.47 | (532) all_0_44_44 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (532) can reduce 181 to: % 59.18/24.47 | (275) ~ (all_0_58_58 = e3) % 59.18/24.47 | % 59.18/24.47 | Simplifying 275 yields: % 59.18/24.47 | (276) ~ (all_0_58_58 = e3) % 59.18/24.47 | % 59.18/24.47 | Equations (532) can reduce 147 to: % 59.18/24.47 | (212) ~ (e3 = e2) % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (1923), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (1557) all_0_46_46 = e3 % 59.18/24.47 | % 59.18/24.47 | Combining equations (1794,1557) yields a new equation: % 59.18/24.47 | (662) e3 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (662) can reduce 212 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (409) ~ (all_0_46_46 = e3) % 59.18/24.47 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (1444), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (601) all_0_50_50 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (601) can reduce 411 to: % 59.18/24.47 | (467) ~ (e3 = e1) % 59.18/24.47 | % 59.18/24.47 | Simplifying 467 yields: % 59.18/24.47 | (213) ~ (e3 = e1) % 59.18/24.47 | % 59.18/24.47 | Equations (601) can reduce 302 to: % 59.18/24.47 | (604) ~ (e2 = e1) % 59.18/24.47 | % 59.18/24.47 | Simplifying 604 yields: % 59.18/24.47 | (122) ~ (e2 = e1) % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (112), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (635) all_0_44_44 = e1 % 59.18/24.47 | % 59.18/24.47 | Combining equations (635,532) yields a new equation: % 59.18/24.47 | (455) e3 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (455) can reduce 213 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (639) ~ (all_0_44_44 = e1) % 59.18/24.47 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (640), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (671) all_0_49_49 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (671) can reduce 1064 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (1064) ~ (all_0_49_49 = e1) % 59.18/24.47 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (2141), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (1208) all_0_53_53 = e1 % 59.18/24.47 | % 59.18/24.47 | Combining equations (607,1208) yields a new equation: % 59.18/24.47 | (616) e2 = e1 % 59.18/24.47 | % 59.18/24.47 | Simplifying 616 yields: % 59.18/24.47 | (617) e2 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (617) can reduce 122 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (1459) ~ (all_0_53_53 = e1) % 59.18/24.47 | (918) all_0_58_58 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (918) can reduce 276 to: % 59.18/24.47 | (467) ~ (e3 = e1) % 59.18/24.47 | % 59.18/24.47 | Simplifying 467 yields: % 59.18/24.47 | (213) ~ (e3 = e1) % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (4042), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (415) all_0_50_50 = e3 % 59.18/24.47 | % 59.18/24.47 | Combining equations (601,415) yields a new equation: % 59.18/24.47 | (455) e3 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (455) can reduce 213 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (411) ~ (all_0_50_50 = e3) % 59.18/24.47 | (2336) all_0_55_55 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (2336) can reduce 270 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (759) ~ (all_0_50_50 = e1) % 59.18/24.47 | (415) all_0_50_50 = e3 % 59.18/24.47 | % 59.18/24.47 | Equations (415) can reduce 411 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (664) ~ (all_0_51_51 = e3) % 59.18/24.47 | (665) all_0_53_53 = e3 % 59.18/24.47 | % 59.18/24.47 | Combining equations (665,607) yields a new equation: % 59.18/24.47 | (661) e3 = e2 % 59.18/24.47 | % 59.18/24.47 | Simplifying 661 yields: % 59.18/24.47 | (662) e3 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (662) can reduce 212 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (509) ~ (all_0_53_53 = e2) % 59.18/24.47 | (624) all_0_58_58 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (624) can reduce 908 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (300) ~ (all_0_46_46 = e2) % 59.18/24.47 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (24428), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (378) all_0_50_50 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (378) can reduce 302 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (302) ~ (all_0_50_50 = e2) % 59.18/24.47 | (386) all_0_55_55 = e2 % 59.18/24.47 | % 59.18/24.47 | Equations (386) can reduce 304 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (619) ~ (all_0_48_48 = e1) % 59.18/24.47 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (620), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (642) all_0_52_52 = e1 % 59.18/24.47 | % 59.18/24.47 | Combining equations (565,642) yields a new equation: % 59.18/24.47 | (636) e4 = e1 % 59.18/24.47 | % 59.18/24.47 | Simplifying 636 yields: % 59.18/24.47 | (630) e4 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (630) can reduce 110 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (646) ~ (all_0_52_52 = e1) % 59.18/24.47 | (647) all_0_57_57 = e1 % 59.18/24.47 | % 59.18/24.47 | Combining equations (647,442) yields a new equation: % 59.18/24.47 | (617) e2 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (617) can reduce 122 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (5470) ~ (all_0_43_43 = e0) % 59.18/24.47 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 59.18/24.47 | % 59.18/24.47 +-Applying beta-rule and splitting (6374), into two cases. % 59.18/24.47 |-Branch one: % 59.18/24.47 | (356) all_0_43_43 = e0 % 59.18/24.47 | % 59.18/24.47 | Equations (356) can reduce 5470 to: % 59.18/24.47 | (266) $false % 59.18/24.47 | % 59.18/24.47 |-The branch is then unsatisfiable % 59.18/24.47 |-Branch two: % 59.18/24.47 | (5470) ~ (all_0_43_43 = e0) % 59.18/24.47 | (430) all_0_43_43 = e1 % 59.18/24.47 | % 59.18/24.47 | Equations (430) can reduce 31 to: % 59.18/24.47 | (457) ~ (all_0_41_41 = e1) % 59.18/24.47 | % 59.18/24.47 | Equations (430) can reduce 240 to: % 59.18/24.47 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.47 | % 59.18/24.47 | Equations (430) can reduce 159 to: % 59.18/24.47 | (4057) ~ (all_0_44_44 = e1) % 59.18/24.47 | % 59.18/24.47 | Simplifying 4057 yields: % 59.18/24.47 | (639) ~ (all_0_44_44 = e1) % 59.18/24.47 | % 59.18/24.47 | Equations (430) can reduce 17 to: % 59.18/24.48 | (11581) ~ (all_0_48_48 = e1) % 59.18/24.48 | % 59.18/24.48 | Simplifying 11581 yields: % 59.18/24.48 | (619) ~ (all_0_48_48 = e1) % 59.18/24.48 | % 59.18/24.48 | Equations (430) can reduce 399 to: % 59.18/24.48 | (602) ~ (e4 = e1) % 59.18/24.48 | % 59.18/24.48 | Simplifying 602 yields: % 59.18/24.48 | (110) ~ (e4 = e1) % 59.18/24.48 | % 59.18/24.48 | Equations (430) can reduce 99 to: % 59.18/24.48 | (467) ~ (e3 = e1) % 59.18/24.48 | % 59.18/24.48 | Simplifying 467 yields: % 59.18/24.48 | (213) ~ (e3 = e1) % 59.18/24.48 | % 59.18/24.48 | Equations (430) can reduce 96 to: % 59.18/24.48 | (604) ~ (e2 = e1) % 59.18/24.48 | % 59.18/24.48 | Simplifying 604 yields: % 59.18/24.48 | (122) ~ (e2 = e1) % 59.18/24.48 | % 59.18/24.48 | From (430) and (37) follows: % 59.18/24.48 | (13877) op(e3, e1) = e1 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (228), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (335) all_0_48_48 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (335) can reduce 810 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (810) ~ (all_0_48_48 = e2) % 59.18/24.48 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (10218), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (943) all_0_48_48 = e4 % 59.18/24.48 | % 59.18/24.48 | Equations (943) can reduce 254 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (254) ~ (all_0_48_48 = e4) % 59.18/24.48 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (10222), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (1279) all_0_48_48 = e0 % 59.18/24.48 | % 59.18/24.48 | Equations (1279) can reduce 114 to: % 59.18/24.48 | (678) ~ (all_0_47_47 = e0) % 59.18/24.48 | % 59.18/24.48 | Equations (1279) can reduce 185 to: % 59.18/24.48 | (486) ~ (all_0_49_49 = e0) % 59.18/24.48 | % 59.18/24.48 | Simplifying 486 yields: % 59.18/24.48 | (487) ~ (all_0_49_49 = e0) % 59.18/24.48 | % 59.18/24.48 | Equations (1279) can reduce 810 to: % 59.18/24.48 | (365) ~ (e2 = e0) % 59.18/24.48 | % 59.18/24.48 | Simplifying 365 yields: % 59.18/24.48 | (128) ~ (e2 = e0) % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (117), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (292) all_0_38_38 = e2 % 59.18/24.48 | % 59.18/24.48 | Combining equations (292,329) yields a new equation: % 59.18/24.48 | (391) e2 = e0 % 59.18/24.48 | % 59.18/24.48 | Simplifying 391 yields: % 59.18/24.48 | (330) e2 = e0 % 59.18/24.48 | % 59.18/24.48 | Equations (330) can reduce 128 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (9600) ~ (all_0_38_38 = e2) % 59.18/24.48 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (95), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (378) all_0_50_50 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 221 to: % 59.18/24.48 | (85) ~ (all_0_41_41 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 35 to: % 59.18/24.48 | (300) ~ (all_0_46_46 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 59 to: % 59.18/24.48 | (17668) ~ (all_0_51_51 = e2) % 59.18/24.48 | % 59.18/24.48 | Simplifying 17668 yields: % 59.18/24.48 | (1099) ~ (all_0_51_51 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 93 to: % 59.18/24.48 | (303) ~ (all_0_55_55 = e2) % 59.18/24.48 | % 59.18/24.48 | Simplifying 303 yields: % 59.18/24.48 | (304) ~ (all_0_55_55 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 566 to: % 59.18/24.48 | (327) ~ (e4 = e2) % 59.18/24.48 | % 59.18/24.48 | Simplifying 327 yields: % 59.18/24.48 | (48) ~ (e4 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 121 to: % 59.18/24.48 | (128) ~ (e2 = e0) % 59.18/24.48 | % 59.18/24.48 | From (378) and (242) follows: % 59.18/24.48 | (26152) op(e1, e3) = e2 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (158), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (313) all_0_40_40 = e2 % 59.18/24.48 | % 59.18/24.48 | Combining equations (1378,313) yields a new equation: % 59.18/24.48 | (322) e4 = e2 % 59.18/24.48 | % 59.18/24.48 | Simplifying 322 yields: % 59.18/24.48 | (323) e4 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (323) can reduce 48 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (296) ~ (all_0_40_40 = e2) % 59.18/24.48 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (53), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (1794) all_0_46_46 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (1794) can reduce 300 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (300) ~ (all_0_46_46 = e2) % 59.18/24.48 | (10171) all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (377), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (583) all_0_49_49 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (583) can reduce 9 to: % 59.18/24.48 | (147) ~ (all_0_44_44 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (583) can reduce 86 to: % 59.18/24.48 | (338) ~ (all_0_47_47 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (583) can reduce 65 to: % 59.18/24.48 | (508) ~ (all_0_53_53 = e2) % 59.18/24.48 | % 59.18/24.48 | Simplifying 508 yields: % 59.18/24.48 | (509) ~ (all_0_53_53 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (583) can reduce 119 to: % 59.18/24.48 | (1186) ~ (all_0_58_58 = e2) % 59.18/24.48 | % 59.18/24.48 | Simplifying 1186 yields: % 59.18/24.48 | (908) ~ (all_0_58_58 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (583) can reduce 487 to: % 59.18/24.48 | (128) ~ (e2 = e0) % 59.18/24.48 | % 59.18/24.48 | From (583) and (55) follows: % 59.18/24.48 | (727) op(e2, e0) = e2 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (168), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (415) all_0_50_50 = e3 % 59.18/24.48 | % 59.18/24.48 | Combining equations (378,415) yields a new equation: % 59.18/24.48 | (662) e3 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (662) can reduce 212 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (411) ~ (all_0_50_50 = e3) % 59.18/24.48 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.18/24.48 | % 59.18/24.48 | Equations (378) can reduce 411 to: % 59.18/24.48 | (626) ~ (e3 = e2) % 59.18/24.48 | % 59.18/24.48 | Simplifying 626 yields: % 59.18/24.48 | (212) ~ (e3 = e2) % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (189), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (532) all_0_44_44 = e3 % 59.18/24.48 | % 59.18/24.48 | Equations (532) can reduce 149 to: % 59.18/24.48 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.48 | % 59.18/24.48 | Equations (532) can reduce 220 to: % 59.18/24.48 | (1114) ~ (all_0_53_53 = e3) % 59.18/24.48 | % 59.18/24.48 | Simplifying 1114 yields: % 59.18/24.48 | (903) ~ (all_0_53_53 = e3) % 59.18/24.48 | % 59.18/24.48 | Equations (532) can reduce 181 to: % 59.18/24.48 | (275) ~ (all_0_58_58 = e3) % 59.18/24.48 | % 59.18/24.48 | Simplifying 275 yields: % 59.18/24.48 | (276) ~ (all_0_58_58 = e3) % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (27), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (437) all_0_41_41 = e4 % 59.18/24.48 | % 59.18/24.48 | Equations (437) can reduce 191 to: % 59.18/24.48 | (1909) ~ (all_0_55_55 = e4) % 59.18/24.48 | % 59.18/24.48 | Simplifying 1909 yields: % 59.18/24.48 | (763) ~ (all_0_55_55 = e4) % 59.18/24.48 | % 59.18/24.48 | Equations (437) can reduce 1898 to: % 59.18/24.48 | (188) ~ (e4 = e3) % 59.18/24.48 | % 59.18/24.48 | Equations (437) can reduce 85 to: % 59.18/24.48 | (48) ~ (e4 = e2) % 59.18/24.48 | % 59.18/24.48 | Equations (437) can reduce 357 to: % 59.18/24.48 | (49) ~ (e4 = e0) % 59.18/24.48 | % 59.18/24.48 | From (437) and (219) follows: % 59.18/24.48 | (1913) op(e3, e3) = e4 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (196), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (607) all_0_53_53 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (607) can reduce 509 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (509) ~ (all_0_53_53 = e2) % 59.18/24.48 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (171), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (265) all_0_54_54 = e4 % 59.18/24.48 | % 59.18/24.48 | Combining equations (268,265) yields a new equation: % 59.18/24.48 | (425) e4 = e3 % 59.18/24.48 | % 59.18/24.48 | Equations (425) can reduce 188 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (258) ~ (all_0_54_54 = e4) % 59.18/24.48 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (418), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (660) all_0_51_51 = e3 % 59.18/24.48 | % 59.18/24.48 | Equations (660) can reduce 61 to: % 59.18/24.48 | (405) ~ (all_0_42_42 = e3) % 59.18/24.48 | % 59.18/24.48 | Equations (660) can reduce 224 to: % 59.18/24.48 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.48 | % 59.18/24.48 | Equations (660) can reduce 6 to: % 59.18/24.48 | (1114) ~ (all_0_53_53 = e3) % 59.18/24.48 | % 59.18/24.48 | Simplifying 1114 yields: % 59.18/24.48 | (903) ~ (all_0_53_53 = e3) % 59.18/24.48 | % 59.18/24.48 | Equations (660) can reduce 115 to: % 59.18/24.48 | (80) ~ (e3 = e0) % 59.18/24.48 | % 59.18/24.48 | From (660) and (186) follows: % 59.18/24.48 | (1552) op(e1, e2) = e3 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (610), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (1298) all_0_53_53 = e4 % 59.18/24.48 | % 59.18/24.48 | Equations (1298) can reduce 1453 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (1453) ~ (all_0_53_53 = e4) % 59.18/24.48 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (575), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (587) all_0_55_55 = e4 % 59.18/24.48 | % 59.18/24.48 | Equations (587) can reduce 763 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (763) ~ (all_0_55_55 = e4) % 59.18/24.48 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (1694), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (1208) all_0_53_53 = e1 % 59.18/24.48 | % 59.18/24.48 | Equations (1208) can reduce 10 to: % 59.18/24.48 | (879) ~ (all_0_58_58 = e1) % 59.18/24.48 | % 59.18/24.48 | Simplifying 879 yields: % 59.18/24.48 | (880) ~ (all_0_58_58 = e1) % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (764), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (842) all_0_56_56 = e4 % 59.18/24.48 | % 59.18/24.48 | Equations (842) can reduce 236 to: % 59.18/24.48 | (1890) ~ (all_0_42_42 = e4) % 59.18/24.48 | % 59.18/24.48 | Equations (842) can reduce 91 to: % 59.18/24.48 | (252) ~ (all_0_47_47 = e4) % 59.18/24.48 | % 59.18/24.48 | Equations (842) can reduce 153 to: % 59.18/24.48 | (763) ~ (all_0_55_55 = e4) % 59.18/24.48 | % 59.18/24.48 | Equations (842) can reduce 44 to: % 59.18/24.48 | (450) ~ (all_0_58_58 = e4) % 59.18/24.48 | % 59.18/24.48 | Simplifying 450 yields: % 59.18/24.48 | (451) ~ (all_0_58_58 = e4) % 59.18/24.48 | % 59.18/24.48 | From (842) and (111) follows: % 59.18/24.48 | (2154) op(e0, e2) = e4 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (105), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (1105) all_0_47_47 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (1105) can reduce 338 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (338) ~ (all_0_47_47 = e2) % 59.18/24.48 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (108), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (624) all_0_58_58 = e2 % 59.18/24.48 | % 59.18/24.48 | Equations (624) can reduce 908 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (908) ~ (all_0_58_58 = e2) % 59.18/24.48 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.18/24.48 | % 59.18/24.48 +-Applying beta-rule and splitting (75), into two cases. % 59.18/24.48 |-Branch one: % 59.18/24.48 | (485) all_0_40_40 = e0 % 59.18/24.48 | % 59.18/24.48 | Combining equations (1378,485) yields a new equation: % 59.18/24.48 | (481) e4 = e0 % 59.18/24.48 | % 59.18/24.48 | Simplifying 481 yields: % 59.18/24.48 | (397) e4 = e0 % 59.18/24.48 | % 59.18/24.48 | Equations (397) can reduce 49 to: % 59.18/24.48 | (266) $false % 59.18/24.48 | % 59.18/24.48 |-The branch is then unsatisfiable % 59.18/24.48 |-Branch two: % 59.18/24.48 | (1401) ~ (all_0_40_40 = e0) % 59.18/24.48 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 59.18/24.48 | % 59.18/24.49 | Equations (1378) can reduce 1401 to: % 59.18/24.49 | (49) ~ (e4 = e0) % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (216), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (629) all_0_55_55 = e1 % 59.18/24.49 | % 59.18/24.49 | Equations (629) can reduce 3 to: % 59.18/24.49 | (879) ~ (all_0_58_58 = e1) % 59.18/24.49 | % 59.18/24.49 | Simplifying 879 yields: % 59.18/24.49 | (880) ~ (all_0_58_58 = e1) % 59.18/24.49 | % 59.18/24.49 | From (629) and (74) follows: % 59.18/24.49 | (6587) op(e0, e3) = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (1748), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (1414) all_0_44_44 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (532,1414) yields a new equation: % 59.18/24.49 | (675) e3 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 675 yields: % 59.18/24.49 | (676) e3 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (676) can reduce 80 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (360) ~ (all_0_44_44 = e0) % 59.18/24.49 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (165), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (794) all_0_41_41 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (794,437) yields a new equation: % 59.18/24.49 | (397) e4 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (397) can reduce 49 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (357) ~ (all_0_41_41 = e0) % 59.18/24.49 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (6761), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (559) all_0_42_42 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (559) can reduce 198 to: % 59.18/24.49 | (1402) ~ (all_0_47_47 = e0) % 59.18/24.49 | % 59.18/24.49 | Simplifying 1402 yields: % 59.18/24.49 | (678) ~ (all_0_47_47 = e0) % 59.18/24.49 | % 59.18/24.49 | Equations (559) can reduce 51 to: % 59.18/24.49 | (365) ~ (e2 = e0) % 59.18/24.49 | % 59.18/24.49 | Simplifying 365 yields: % 59.18/24.49 | (128) ~ (e2 = e0) % 59.18/24.49 | % 59.18/24.49 | Equations (559) can reduce 1380 to: % 59.18/24.49 | (435) ~ (e1 = e0) % 59.18/24.49 | % 59.18/24.49 | Simplifying 435 yields: % 59.18/24.49 | (233) ~ (e1 = e0) % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (125), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (858) all_0_55_55 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (629,858) yields a new equation: % 59.18/24.49 | (546) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 546 yields: % 59.18/24.49 | (431) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (431) can reduce 233 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (803) ~ (all_0_55_55 = e0) % 59.18/24.49 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (629) can reduce 803 to: % 59.18/24.49 | (233) ~ (e1 = e0) % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (131), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (459) all_0_42_42 = e1 % 59.18/24.49 | % 59.18/24.49 | Combining equations (559,459) yields a new equation: % 59.18/24.49 | (431) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (431) can reduce 233 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.49 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (1789), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (1790) all_0_47_47 = e4 % 59.18/24.49 | % 59.18/24.49 | Equations (1790) can reduce 252 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (252) ~ (all_0_47_47 = e4) % 59.18/24.49 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (3259), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (654) all_0_47_47 = e1 % 59.18/24.49 | % 59.18/24.49 | Equations (654) can reduce 338 to: % 59.18/24.49 | (604) ~ (e2 = e1) % 59.18/24.49 | % 59.18/24.49 | Simplifying 604 yields: % 59.18/24.49 | (122) ~ (e2 = e1) % 59.18/24.49 | % 59.18/24.49 | From (654) and (23) follows: % 59.18/24.49 | (9478) op(e2, e2) = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (1760), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (978) all_0_49_49 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (583,978) yields a new equation: % 59.18/24.49 | (391) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 391 yields: % 59.18/24.49 | (330) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (330) can reduce 128 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (487) ~ (all_0_49_49 = e0) % 59.18/24.49 | (914) all_0_58_58 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (914) can reduce 880 to: % 59.18/24.49 | (435) ~ (e1 = e0) % 59.18/24.49 | % 59.18/24.49 | Simplifying 435 yields: % 59.18/24.49 | (233) ~ (e1 = e0) % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (56), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (696) unit = e2 % 59.18/24.49 | % 59.18/24.49 | From (696) and (227) follows: % 59.18/24.49 | (4284) op(e4, e2) = e4 % 59.18/24.49 | % 59.18/24.49 | From (696) and (32) follows: % 59.18/24.49 | (698) op(e2, e2) = e2 % 59.18/24.49 | % 59.18/24.49 | From (696) and (42) follows: % 59.18/24.49 | (1613) op(e0, e2) = e0 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.18/24.49 | (323) e4 = e2 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e2, e2, e2, e1 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e1, yields: % 59.18/24.49 | (617) e2 = e1 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 59.18/24.49 | (397) e4 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (323,397) yields a new equation: % 59.18/24.49 | (391) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 391 yields: % 59.18/24.49 | (330) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (617,330) yields a new equation: % 59.18/24.49 | (546) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 546 yields: % 59.18/24.49 | (431) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (431) can reduce 233 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (707) ~ (unit = e2) % 59.18/24.49 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (708), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (709) unit = e4 % 59.18/24.49 | % 59.18/24.49 | From (709) and (211) follows: % 59.18/24.49 | (22527) op(e4, e1) = e1 % 59.18/24.49 | % 59.18/24.49 | From (709) and (42) follows: % 59.18/24.49 | (713) op(e0, e4) = e0 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.18/24.49 | (455) e3 = e1 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.18/24.49 | (676) e3 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (455,676) yields a new equation: % 59.18/24.49 | (546) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 546 yields: % 59.18/24.49 | (431) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (431) can reduce 233 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (724) ~ (unit = e4) % 59.18/24.49 | (725) unit = e3 | unit = e1 | unit = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (725), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (726) unit = e0 % 59.18/24.49 | % 59.18/24.49 | From (726) and (244) follows: % 59.18/24.49 | (2207) op(e0, e4) = e4 % 59.18/24.49 | % 59.18/24.49 | From (726) and (24) follows: % 59.18/24.49 | (2208) op(e0, e3) = e3 % 59.18/24.49 | % 59.18/24.49 | From (726) and (15) follows: % 59.18/24.49 | (1508) op(e0, e2) = e2 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.18/24.49 | (425) e4 = e3 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 59.18/24.49 | (455) e3 = e1 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.18/24.49 | (323) e4 = e2 % 59.18/24.49 | % 59.18/24.49 | Combining equations (323,425) yields a new equation: % 59.18/24.49 | (662) e3 = e2 % 59.18/24.49 | % 59.18/24.49 | Combining equations (662,455) yields a new equation: % 59.18/24.49 | (616) e2 = e1 % 59.18/24.49 | % 59.18/24.49 | Simplifying 616 yields: % 59.18/24.49 | (617) e2 = e1 % 59.18/24.49 | % 59.18/24.49 | Equations (617) can reduce 122 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (734) ~ (unit = e0) % 59.18/24.49 | (735) unit = e3 | unit = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (735), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (736) unit = e1 % 59.18/24.49 | % 59.18/24.49 | Equations (736) can reduce 734 to: % 59.18/24.49 | (233) ~ (e1 = e0) % 59.18/24.49 | % 59.18/24.49 | From (736) and (15) follows: % 59.18/24.49 | (515) op(e1, e2) = e2 % 59.18/24.49 | % 59.18/24.49 | From (736) and (40) follows: % 59.18/24.49 | (1652) op(e3, e1) = e3 % 59.18/24.49 | % 59.18/24.49 | From (736) and (42) follows: % 59.18/24.49 | (3221) op(e0, e1) = e0 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 59.18/24.49 | (455) e3 = e1 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.18/24.49 | (662) e3 = e2 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 59.18/24.49 | (330) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (662,455) yields a new equation: % 59.18/24.49 | (616) e2 = e1 % 59.18/24.49 | % 59.18/24.49 | Simplifying 616 yields: % 59.18/24.49 | (617) e2 = e1 % 59.18/24.49 | % 59.18/24.49 | Combining equations (617,330) yields a new equation: % 59.18/24.49 | (546) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 546 yields: % 59.18/24.49 | (431) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (431) can reduce 233 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (748) ~ (unit = e1) % 59.18/24.49 | (749) unit = e3 % 59.18/24.49 | % 59.18/24.49 | From (749) and (244) follows: % 59.18/24.49 | (750) op(e3, e4) = e4 % 59.18/24.49 | % 59.18/24.49 | From (749) and (227) follows: % 59.18/24.49 | (22570) op(e4, e3) = e4 % 59.18/24.49 | % 59.18/24.49 | From (749) and (40) follows: % 59.18/24.49 | (3715) op(e3, e3) = e3 % 59.18/24.49 | % 59.18/24.49 | From (749) and (28) follows: % 59.18/24.49 | (2235) op(e1, e3) = e1 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 59.18/24.49 | (397) e4 = e0 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.18/24.49 | (323) e4 = e2 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 59.18/24.49 | (425) e4 = e3 % 59.18/24.49 | % 59.18/24.49 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 59.18/24.49 | (617) e2 = e1 % 59.18/24.49 | % 59.18/24.49 | Combining equations (323,425) yields a new equation: % 59.18/24.49 | (662) e3 = e2 % 59.18/24.49 | % 59.18/24.49 | Combining equations (397,425) yields a new equation: % 59.18/24.49 | (676) e3 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (662,676) yields a new equation: % 59.18/24.49 | (391) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 391 yields: % 59.18/24.49 | (330) e2 = e0 % 59.18/24.49 | % 59.18/24.49 | Combining equations (617,330) yields a new equation: % 59.18/24.49 | (546) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Simplifying 546 yields: % 59.18/24.49 | (431) e1 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (431) can reduce 233 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (462) ~ (all_0_47_47 = e1) % 59.18/24.49 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (1793), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (674) all_0_47_47 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (674) can reduce 678 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (678) ~ (all_0_47_47 = e0) % 59.18/24.49 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (1831), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (654) all_0_47_47 = e1 % 59.18/24.49 | % 59.18/24.49 | Equations (654) can reduce 462 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (462) ~ (all_0_47_47 = e1) % 59.18/24.49 | (522) all_0_47_47 = e3 % 59.18/24.49 | % 59.18/24.49 | Equations (522) can reduce 1091 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (358) ~ (all_0_42_42 = e0) % 59.18/24.49 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (152), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (1392) all_0_42_42 = e4 % 59.18/24.49 | % 59.18/24.49 | Equations (1392) can reduce 1890 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (1890) ~ (all_0_42_42 = e4) % 59.18/24.49 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (131), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (459) all_0_42_42 = e1 % 59.18/24.49 | % 59.18/24.49 | Equations (459) can reduce 1380 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.49 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.18/24.49 | % 59.18/24.49 +-Applying beta-rule and splitting (1969), into two cases. % 59.18/24.49 |-Branch one: % 59.18/24.49 | (559) all_0_42_42 = e0 % 59.18/24.49 | % 59.18/24.49 | Equations (559) can reduce 358 to: % 59.18/24.49 | (266) $false % 59.18/24.49 | % 59.18/24.49 |-The branch is then unsatisfiable % 59.18/24.49 |-Branch two: % 59.18/24.49 | (358) ~ (all_0_42_42 = e0) % 59.18/24.50 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (2510), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (459) all_0_42_42 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (459) can reduce 1380 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.50 | (516) all_0_42_42 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (516) can reduce 405 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (632) ~ (all_0_55_55 = e1) % 59.18/24.50 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (174), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (386) all_0_55_55 = e2 % 59.18/24.50 | % 59.18/24.50 | Equations (386) can reduce 304 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (304) ~ (all_0_55_55 = e2) % 59.18/24.50 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (909), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (910) all_0_58_58 = e4 % 59.18/24.50 | % 59.18/24.50 | Equations (910) can reduce 451 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (451) ~ (all_0_58_58 = e4) % 59.18/24.50 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (2051), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (587) all_0_55_55 = e4 % 59.18/24.50 | % 59.18/24.50 | Equations (587) can reduce 763 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (763) ~ (all_0_55_55 = e4) % 59.18/24.50 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (913), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (914) all_0_58_58 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (914) can reduce 3 to: % 59.18/24.50 | (803) ~ (all_0_55_55 = e0) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (2055), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (858) all_0_55_55 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (858) can reduce 803 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (803) ~ (all_0_55_55 = e0) % 59.18/24.50 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (2315), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (629) all_0_55_55 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (629) can reduce 632 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (632) ~ (all_0_55_55 = e1) % 59.18/24.50 | (2336) all_0_55_55 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (2336) can reduce 270 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (491) ~ (all_0_58_58 = e0) % 59.18/24.50 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (917), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (918) all_0_58_58 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (918) can reduce 880 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (880) ~ (all_0_58_58 = e1) % 59.18/24.50 | (795) all_0_58_58 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (795) can reduce 276 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (477) ~ (all_0_56_56 = e4) % 59.18/24.50 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (75), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (485) all_0_40_40 = e0 % 59.18/24.50 | % 59.18/24.50 | Combining equations (1378,485) yields a new equation: % 59.18/24.50 | (481) e4 = e0 % 59.18/24.50 | % 59.18/24.50 | Simplifying 481 yields: % 59.18/24.50 | (397) e4 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (397) can reduce 49 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1401) ~ (all_0_40_40 = e0) % 59.18/24.50 | (1748) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_58_58 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (1748), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (1414) all_0_44_44 = e0 % 59.18/24.50 | % 59.18/24.50 | Combining equations (532,1414) yields a new equation: % 59.18/24.50 | (675) e3 = e0 % 59.18/24.50 | % 59.18/24.50 | Simplifying 675 yields: % 59.18/24.50 | (676) e3 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (676) can reduce 80 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (360) ~ (all_0_44_44 = e0) % 59.18/24.50 | (1760) all_0_49_49 = e0 | all_0_58_58 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (1760), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (978) all_0_49_49 = e0 % 59.18/24.50 | % 59.18/24.50 | Combining equations (583,978) yields a new equation: % 59.18/24.50 | (391) e2 = e0 % 59.18/24.50 | % 59.18/24.50 | Simplifying 391 yields: % 59.18/24.50 | (330) e2 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (330) can reduce 128 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (487) ~ (all_0_49_49 = e0) % 59.18/24.50 | (914) all_0_58_58 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (914) can reduce 451 to: % 59.18/24.50 | (401) ~ (e4 = e0) % 59.18/24.50 | % 59.18/24.50 | Simplifying 401 yields: % 59.18/24.50 | (49) ~ (e4 = e0) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (165), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (794) all_0_41_41 = e0 % 59.18/24.50 | % 59.18/24.50 | Combining equations (794,437) yields a new equation: % 59.18/24.50 | (397) e4 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (397) can reduce 49 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (357) ~ (all_0_41_41 = e0) % 59.18/24.50 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (437) can reduce 357 to: % 59.18/24.50 | (49) ~ (e4 = e0) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (164), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (471) all_0_39_39 = e4 % 59.18/24.50 | % 59.18/24.50 | Combining equations (471,317) yields a new equation: % 59.18/24.50 | (322) e4 = e2 % 59.18/24.50 | % 59.18/24.50 | Simplifying 322 yields: % 59.18/24.50 | (323) e4 = e2 % 59.18/24.50 | % 59.18/24.50 | Equations (323) can reduce 48 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1377) ~ (all_0_39_39 = e4) % 59.18/24.50 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.18/24.50 | % 59.18/24.50 | Equations (317) can reduce 1377 to: % 59.18/24.50 | (327) ~ (e4 = e2) % 59.18/24.50 | % 59.18/24.50 | Simplifying 327 yields: % 59.18/24.50 | (48) ~ (e4 = e2) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (935), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (871) all_0_57_57 = e4 % 59.18/24.50 | % 59.18/24.50 | Combining equations (442,871) yields a new equation: % 59.18/24.50 | (323) e4 = e2 % 59.18/24.50 | % 59.18/24.50 | Equations (323) can reduce 48 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (839) ~ (all_0_57_57 = e4) % 59.18/24.50 | (910) all_0_58_58 = e4 % 59.18/24.50 | % 59.18/24.50 | Combining equations (910,914) yields a new equation: % 59.18/24.50 | (481) e4 = e0 % 59.18/24.50 | % 59.18/24.50 | Simplifying 481 yields: % 59.18/24.50 | (397) e4 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (397) can reduce 49 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1459) ~ (all_0_53_53 = e1) % 59.18/24.50 | (665) all_0_53_53 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 903 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (664) ~ (all_0_51_51 = e3) % 59.18/24.50 | (665) all_0_53_53 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 903 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (440) ~ (all_0_41_41 = e4) % 59.18/24.50 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (418), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (660) all_0_51_51 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (660) can reduce 224 to: % 59.18/24.50 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.50 | % 59.18/24.50 | Equations (660) can reduce 475 to: % 59.18/24.50 | (277) ~ (e4 = e3) % 59.18/24.50 | % 59.18/24.50 | Simplifying 277 yields: % 59.18/24.50 | (188) ~ (e4 = e3) % 59.18/24.50 | % 59.18/24.50 | Equations (660) can reduce 1099 to: % 59.18/24.50 | (212) ~ (e3 = e2) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (165), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (794) all_0_41_41 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (794) can reduce 357 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (357) ~ (all_0_41_41 = e0) % 59.18/24.50 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (78), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (423) all_0_45_45 = e3 % 59.18/24.50 | % 59.18/24.50 | Combining equations (423,248) yields a new equation: % 59.18/24.50 | (425) e4 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (425) can reduce 188 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (427) ~ (all_0_45_45 = e3) % 59.18/24.50 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (428), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (1557) all_0_46_46 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (1557) can reduce 43 to: % 59.18/24.50 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (18), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (453) all_0_41_41 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (453) can reduce 457 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (457) ~ (all_0_41_41 = e1) % 59.18/24.50 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (4049), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (794) all_0_41_41 = e0 % 59.18/24.50 | % 59.18/24.50 | Equations (794) can reduce 357 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (357) ~ (all_0_41_41 = e0) % 59.18/24.50 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (4053), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (453) all_0_41_41 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (453) can reduce 457 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (457) ~ (all_0_41_41 = e1) % 59.18/24.50 | (403) all_0_41_41 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (403) can reduce 1898 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (409) ~ (all_0_46_46 = e3) % 59.18/24.50 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (1561), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (522) all_0_47_47 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (522) can reduce 1091 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.50 | (884) all_0_49_49 = e3 % 59.18/24.50 | % 59.18/24.50 | Combining equations (583,884) yields a new equation: % 59.18/24.50 | (662) e3 = e2 % 59.18/24.50 | % 59.18/24.50 | Equations (662) can reduce 212 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (664) ~ (all_0_51_51 = e3) % 59.18/24.50 | (665) all_0_53_53 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 903 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (407) ~ (all_0_44_44 = e3) % 59.18/24.50 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (537), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (884) all_0_49_49 = e3 % 59.18/24.50 | % 59.18/24.50 | Combining equations (583,884) yields a new equation: % 59.18/24.50 | (662) e3 = e2 % 59.18/24.50 | % 59.18/24.50 | Equations (662) can reduce 212 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (525) ~ (all_0_49_49 = e3) % 59.18/24.50 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (887), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (665) all_0_53_53 = e3 % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 220 to: % 59.18/24.50 | (407) ~ (all_0_44_44 = e3) % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 6 to: % 59.18/24.50 | (664) ~ (all_0_51_51 = e3) % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 10 to: % 59.18/24.50 | (275) ~ (all_0_58_58 = e3) % 59.18/24.50 | % 59.18/24.50 | Simplifying 275 yields: % 59.18/24.50 | (276) ~ (all_0_58_58 = e3) % 59.18/24.50 | % 59.18/24.50 | Equations (665) can reduce 1453 to: % 59.18/24.50 | (277) ~ (e4 = e3) % 59.18/24.50 | % 59.18/24.50 | Simplifying 277 yields: % 59.18/24.50 | (188) ~ (e4 = e3) % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (160), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (601) all_0_50_50 = e1 % 59.18/24.50 | % 59.18/24.50 | Combining equations (378,601) yields a new equation: % 59.18/24.50 | (616) e2 = e1 % 59.18/24.50 | % 59.18/24.50 | Simplifying 616 yields: % 59.18/24.50 | (617) e2 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (617) can reduce 122 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (759) ~ (all_0_50_50 = e1) % 59.18/24.50 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (26), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (446) all_0_44_44 = e4 % 59.18/24.50 | % 59.18/24.50 | Equations (446) can reduce 1390 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1390) ~ (all_0_44_44 = e4) % 59.18/24.50 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (7), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (504) all_0_51_51 = e2 % 59.18/24.50 | % 59.18/24.50 | Equations (504) can reduce 1099 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (1099) ~ (all_0_51_51 = e2) % 59.18/24.50 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (112), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (635) all_0_44_44 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (635) can reduce 639 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (639) ~ (all_0_44_44 = e1) % 59.18/24.50 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (1100), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (1101) all_0_51_51 = e4 % 59.18/24.50 | % 59.18/24.50 | Equations (1101) can reduce 475 to: % 59.18/24.50 | (266) $false % 59.18/24.50 | % 59.18/24.50 |-The branch is then unsatisfiable % 59.18/24.50 |-Branch two: % 59.18/24.50 | (475) ~ (all_0_51_51 = e4) % 59.18/24.50 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.18/24.50 | % 59.18/24.50 +-Applying beta-rule and splitting (1168), into two cases. % 59.18/24.50 |-Branch one: % 59.18/24.50 | (1109) all_0_51_51 = e1 % 59.18/24.50 | % 59.18/24.50 | Equations (1109) can reduce 61 to: % 59.18/24.50 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.50 | % 59.18/24.50 | Equations (1109) can reduce 224 to: % 59.18/24.50 | (462) ~ (all_0_47_47 = e1) % 59.18/24.50 | % 59.18/24.51 | Equations (1109) can reduce 1099 to: % 59.18/24.51 | (604) ~ (e2 = e1) % 59.18/24.51 | % 59.18/24.51 | Simplifying 604 yields: % 59.18/24.51 | (122) ~ (e2 = e1) % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (105), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (1105) all_0_47_47 = e2 % 59.18/24.51 | % 59.18/24.51 | Equations (1105) can reduce 338 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (338) ~ (all_0_47_47 = e2) % 59.18/24.51 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (1391), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (1414) all_0_44_44 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (1414) can reduce 149 to: % 59.18/24.51 | (357) ~ (all_0_41_41 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (1414) can reduce 73 to: % 59.18/24.51 | (358) ~ (all_0_42_42 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (1414) can reduce 181 to: % 59.18/24.51 | (490) ~ (all_0_58_58 = e0) % 59.18/24.51 | % 59.18/24.51 | Simplifying 490 yields: % 59.18/24.51 | (491) ~ (all_0_58_58 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (1414) can reduce 147 to: % 59.18/24.51 | (365) ~ (e2 = e0) % 59.18/24.51 | % 59.18/24.51 | Simplifying 365 yields: % 59.18/24.51 | (128) ~ (e2 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (1414) can reduce 639 to: % 59.18/24.51 | (435) ~ (e1 = e0) % 59.18/24.51 | % 59.18/24.51 | Simplifying 435 yields: % 59.18/24.51 | (233) ~ (e1 = e0) % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (104), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (480) all_0_39_39 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (480,317) yields a new equation: % 59.18/24.51 | (330) e2 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (330) can reduce 128 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (484) ~ (all_0_39_39 = e0) % 59.18/24.51 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (558), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (559) all_0_42_42 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (559) can reduce 358 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (358) ~ (all_0_42_42 = e0) % 59.18/24.51 | (563) all_0_47_47 = e0 | all_0_56_56 = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (108), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (624) all_0_58_58 = e2 % 59.18/24.51 | % 59.18/24.51 | Equations (624) can reduce 908 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (908) ~ (all_0_58_58 = e2) % 59.18/24.51 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (135), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (545) all_0_46_46 = e1 % 59.18/24.51 | % 59.18/24.51 | Equations (545) can reduce 43 to: % 59.18/24.51 | (457) ~ (all_0_41_41 = e1) % 59.18/24.51 | % 59.18/24.51 | Equations (545) can reduce 19 to: % 59.18/24.51 | (461) ~ (all_0_47_47 = e1) % 59.18/24.51 | % 59.18/24.51 | Simplifying 461 yields: % 59.18/24.51 | (462) ~ (all_0_47_47 = e1) % 59.18/24.51 | % 59.18/24.51 | From (545) and (120) follows: % 59.18/24.51 | (2105) op(e2, e3) = e1 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (1789), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (1790) all_0_47_47 = e4 % 59.18/24.51 | % 59.18/24.51 | Equations (1790) can reduce 252 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (252) ~ (all_0_47_47 = e4) % 59.18/24.51 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (909), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (910) all_0_58_58 = e4 % 59.18/24.51 | % 59.18/24.51 | Equations (910) can reduce 451 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (451) ~ (all_0_58_58 = e4) % 59.18/24.51 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (913), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (914) all_0_58_58 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (914) can reduce 491 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (491) ~ (all_0_58_58 = e0) % 59.18/24.51 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (917), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (918) all_0_58_58 = e1 % 59.18/24.51 | % 59.18/24.51 | Equations (918) can reduce 44 to: % 59.18/24.51 | (466) ~ (all_0_56_56 = e1) % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (563), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (674) all_0_47_47 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (674) can reduce 678 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (678) ~ (all_0_47_47 = e0) % 59.18/24.51 | (679) all_0_56_56 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (679) can reduce 236 to: % 59.18/24.51 | (358) ~ (all_0_42_42 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (679) can reduce 91 to: % 59.18/24.51 | (678) ~ (all_0_47_47 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (679) can reduce 272 to: % 59.18/24.51 | (541) ~ (e3 = e0) % 59.18/24.51 | % 59.18/24.51 | Simplifying 541 yields: % 59.18/24.51 | (80) ~ (e3 = e0) % 59.18/24.51 | % 59.18/24.51 | Equations (679) can reduce 466 to: % 59.18/24.51 | (435) ~ (e1 = e0) % 59.18/24.51 | % 59.18/24.51 | Simplifying 435 yields: % 59.18/24.51 | (233) ~ (e1 = e0) % 59.18/24.51 | % 59.18/24.51 | From (679) and (111) follows: % 59.18/24.51 | (1613) op(e0, e2) = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (78), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (423) all_0_45_45 = e3 % 59.18/24.51 | % 59.18/24.51 | Combining equations (248,423) yields a new equation: % 59.18/24.51 | (424) e4 = e3 % 59.18/24.51 | % 59.18/24.51 | Simplifying 424 yields: % 59.18/24.51 | (425) e4 = e3 % 59.18/24.51 | % 59.18/24.51 | Equations (425) can reduce 188 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (427) ~ (all_0_45_45 = e3) % 59.18/24.51 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (144), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (403) all_0_41_41 = e3 % 59.18/24.51 | % 59.18/24.51 | Equations (403) can reduce 214 to: % 59.18/24.51 | (404) ~ (all_0_42_42 = e3) % 59.18/24.51 | % 59.18/24.51 | Simplifying 404 yields: % 59.18/24.51 | (405) ~ (all_0_42_42 = e3) % 59.18/24.51 | % 59.18/24.51 | Equations (403) can reduce 457 to: % 59.18/24.51 | (213) ~ (e3 = e1) % 59.18/24.51 | % 59.18/24.51 | Equations (403) can reduce 357 to: % 59.18/24.51 | (80) ~ (e3 = e0) % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (152), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (1392) all_0_42_42 = e4 % 59.18/24.51 | % 59.18/24.51 | Equations (1392) can reduce 198 to: % 59.18/24.51 | (251) ~ (all_0_47_47 = e4) % 59.18/24.51 | % 59.18/24.51 | Simplifying 251 yields: % 59.18/24.51 | (252) ~ (all_0_47_47 = e4) % 59.18/24.51 | % 59.18/24.51 | Equations (1392) can reduce 405 to: % 59.18/24.51 | (188) ~ (e4 = e3) % 59.18/24.51 | % 59.18/24.51 | Equations (1392) can reduce 51 to: % 59.18/24.51 | (48) ~ (e4 = e2) % 59.18/24.51 | % 59.18/24.51 | Equations (1392) can reduce 1380 to: % 59.18/24.51 | (110) ~ (e4 = e1) % 59.18/24.51 | % 59.18/24.51 | Equations (1392) can reduce 358 to: % 59.18/24.51 | (49) ~ (e4 = e0) % 59.18/24.51 | % 59.18/24.51 | From (1392) and (210) follows: % 59.18/24.51 | (4074) op(e3, e2) = e4 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (180), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (516) all_0_42_42 = e3 % 59.18/24.51 | % 59.18/24.51 | Combining equations (516,1392) yields a new equation: % 59.18/24.51 | (425) e4 = e3 % 59.18/24.51 | % 59.18/24.51 | Equations (425) can reduce 188 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (405) ~ (all_0_42_42 = e3) % 59.18/24.51 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (521), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (522) all_0_47_47 = e3 % 59.18/24.51 | % 59.18/24.51 | Equations (522) can reduce 252 to: % 59.18/24.51 | (277) ~ (e4 = e3) % 59.18/24.51 | % 59.18/24.51 | Simplifying 277 yields: % 59.18/24.51 | (188) ~ (e4 = e3) % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (62), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (321) all_0_38_38 = e4 % 59.18/24.51 | % 59.18/24.51 | Combining equations (321,329) yields a new equation: % 59.18/24.51 | (481) e4 = e0 % 59.18/24.51 | % 59.18/24.51 | Simplifying 481 yields: % 59.18/24.51 | (397) e4 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (397) can reduce 49 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (325) ~ (all_0_38_38 = e4) % 59.18/24.51 | (582) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_50_50 = e4 | all_0_55_55 = e4 % 59.18/24.51 | % 59.18/24.51 | Equations (329) can reduce 325 to: % 59.18/24.51 | (401) ~ (e4 = e0) % 59.18/24.51 | % 59.18/24.51 | Simplifying 401 yields: % 59.18/24.51 | (49) ~ (e4 = e0) % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (171), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (265) all_0_54_54 = e4 % 59.18/24.51 | % 59.18/24.51 | Combining equations (268,265) yields a new equation: % 59.18/24.51 | (425) e4 = e3 % 59.18/24.51 | % 59.18/24.51 | Equations (425) can reduce 188 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (258) ~ (all_0_54_54 = e4) % 59.18/24.51 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (575), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (587) all_0_55_55 = e4 % 59.18/24.51 | % 59.18/24.51 | From (587) and (74) follows: % 59.18/24.51 | (589) op(e0, e3) = e4 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (56), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (696) unit = e2 % 59.18/24.51 | % 59.18/24.51 | From (696) and (24) follows: % 59.18/24.51 | (697) op(e2, e3) = e3 % 59.18/24.51 | % 59.18/24.51 | From (696) and (209) follows: % 59.18/24.51 | (7585) op(e2, e0) = e0 % 59.18/24.51 | % 59.18/24.51 | From (696) and (227) follows: % 59.18/24.51 | (4284) op(e4, e2) = e4 % 59.18/24.51 | % 59.18/24.51 | From (696) and (40) follows: % 59.18/24.51 | (4285) op(e3, e2) = e3 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.18/24.51 | (323) e4 = e2 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.18/24.51 | (425) e4 = e3 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 59.18/24.51 | (455) e3 = e1 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.18/24.51 | (330) e2 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (323,425) yields a new equation: % 59.18/24.51 | (662) e3 = e2 % 59.18/24.51 | % 59.18/24.51 | Combining equations (455,662) yields a new equation: % 59.18/24.51 | (617) e2 = e1 % 59.18/24.51 | % 59.18/24.51 | Combining equations (617,330) yields a new equation: % 59.18/24.51 | (546) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Simplifying 546 yields: % 59.18/24.51 | (431) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (431) can reduce 233 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (707) ~ (unit = e2) % 59.18/24.51 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (708), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (709) unit = e4 % 59.18/24.51 | % 59.18/24.51 | From (709) and (211) follows: % 59.18/24.51 | (22527) op(e4, e1) = e1 % 59.18/24.51 | % 59.18/24.51 | From (709) and (42) follows: % 59.18/24.51 | (713) op(e0, e4) = e0 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.18/24.51 | (455) e3 = e1 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.18/24.51 | (676) e3 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (455,676) yields a new equation: % 59.18/24.51 | (546) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Simplifying 546 yields: % 59.18/24.51 | (431) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (431) can reduce 233 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (724) ~ (unit = e4) % 59.18/24.51 | (725) unit = e3 | unit = e1 | unit = e0 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (725), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (726) unit = e0 % 59.18/24.51 | % 59.18/24.51 | From (726) and (15) follows: % 59.18/24.51 | (1508) op(e0, e2) = e2 % 59.18/24.51 | % 59.18/24.51 | From (726) and (211) follows: % 59.18/24.51 | (15180) op(e0, e1) = e1 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.18/24.51 | (330) e2 = e0 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 59.18/24.51 | (617) e2 = e1 % 59.18/24.51 | % 59.18/24.51 | Combining equations (330,617) yields a new equation: % 59.18/24.51 | (431) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (431) can reduce 233 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (734) ~ (unit = e0) % 59.18/24.51 | (735) unit = e3 | unit = e1 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (735), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (736) unit = e1 % 59.18/24.51 | % 59.18/24.51 | Equations (736) can reduce 734 to: % 59.18/24.51 | (233) ~ (e1 = e0) % 59.18/24.51 | % 59.18/24.51 | From (736) and (244) follows: % 59.18/24.51 | (738) op(e1, e4) = e4 % 59.18/24.51 | % 59.18/24.51 | From (736) and (24) follows: % 59.18/24.51 | (1934) op(e1, e3) = e3 % 59.18/24.51 | % 59.18/24.51 | From (736) and (227) follows: % 59.18/24.51 | (739) op(e4, e1) = e4 % 59.18/24.51 | % 59.18/24.51 | From (736) and (40) follows: % 59.18/24.51 | (1652) op(e3, e1) = e3 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.18/24.51 | (425) e4 = e3 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 59.18/24.51 | (455) e3 = e1 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 59.18/24.51 | (397) e4 = e0 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 59.18/24.51 | (662) e3 = e2 % 59.18/24.51 | % 59.18/24.51 | Combining equations (425,397) yields a new equation: % 59.18/24.51 | (675) e3 = e0 % 59.18/24.51 | % 59.18/24.51 | Simplifying 675 yields: % 59.18/24.51 | (676) e3 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (676,662) yields a new equation: % 59.18/24.51 | (330) e2 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (455,662) yields a new equation: % 59.18/24.51 | (617) e2 = e1 % 59.18/24.51 | % 59.18/24.51 | Combining equations (330,617) yields a new equation: % 59.18/24.51 | (431) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (431) can reduce 233 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (748) ~ (unit = e1) % 59.18/24.51 | (749) unit = e3 % 59.18/24.51 | % 59.18/24.51 | From (749) and (15) follows: % 59.18/24.51 | (751) op(e3, e2) = e2 % 59.18/24.51 | % 59.18/24.51 | From (749) and (28) follows: % 59.18/24.51 | (2235) op(e1, e3) = e1 % 59.18/24.51 | % 59.18/24.51 | From (749) and (42) follows: % 59.18/24.51 | (752) op(e0, e3) = e0 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 59.18/24.51 | (323) e4 = e2 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 59.18/24.51 | (617) e2 = e1 % 59.18/24.51 | % 59.18/24.51 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 59.18/24.51 | (397) e4 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (397,323) yields a new equation: % 59.18/24.51 | (330) e2 = e0 % 59.18/24.51 | % 59.18/24.51 | Combining equations (330,617) yields a new equation: % 59.18/24.51 | (431) e1 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (431) can reduce 233 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (763) ~ (all_0_55_55 = e4) % 59.18/24.51 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (764), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (842) all_0_56_56 = e4 % 59.18/24.51 | % 59.18/24.51 | Combining equations (679,842) yields a new equation: % 59.18/24.51 | (397) e4 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (397) can reduce 49 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (477) ~ (all_0_56_56 = e4) % 59.18/24.51 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (935), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (871) all_0_57_57 = e4 % 59.18/24.51 | % 59.18/24.51 | Combining equations (442,871) yields a new equation: % 59.18/24.51 | (323) e4 = e2 % 59.18/24.51 | % 59.18/24.51 | Equations (323) can reduce 48 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (839) ~ (all_0_57_57 = e4) % 59.18/24.51 | (910) all_0_58_58 = e4 % 59.18/24.51 | % 59.18/24.51 | Combining equations (918,910) yields a new equation: % 59.18/24.51 | (630) e4 = e1 % 59.18/24.51 | % 59.18/24.51 | Equations (630) can reduce 110 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.51 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.18/24.51 | % 59.18/24.51 +-Applying beta-rule and splitting (1793), into two cases. % 59.18/24.51 |-Branch one: % 59.18/24.51 | (674) all_0_47_47 = e0 % 59.18/24.51 | % 59.18/24.51 | Equations (674) can reduce 678 to: % 59.18/24.51 | (266) $false % 59.18/24.51 | % 59.18/24.51 |-The branch is then unsatisfiable % 59.18/24.51 |-Branch two: % 59.18/24.51 | (678) ~ (all_0_47_47 = e0) % 59.18/24.51 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 59.18/24.51 | % 59.18/24.52 +-Applying beta-rule and splitting (1831), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (654) all_0_47_47 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (654) can reduce 462 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (462) ~ (all_0_47_47 = e1) % 59.18/24.52 | (522) all_0_47_47 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (522) can reduce 1091 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1890) ~ (all_0_42_42 = e4) % 59.18/24.52 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (180), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (516) all_0_42_42 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (516) can reduce 405 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (405) ~ (all_0_42_42 = e3) % 59.18/24.52 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (521), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (522) all_0_47_47 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (522) can reduce 198 to: % 59.18/24.52 | (405) ~ (all_0_42_42 = e3) % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1969), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (559) all_0_42_42 = e0 % 59.18/24.52 | % 59.18/24.52 | Equations (559) can reduce 358 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (358) ~ (all_0_42_42 = e0) % 59.18/24.52 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (2510), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (459) all_0_42_42 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (459) can reduce 1380 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.52 | (516) all_0_42_42 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (516) can reduce 405 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.52 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1092), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (660) all_0_51_51 = e3 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1109,660) yields a new equation: % 59.18/24.52 | (455) e3 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (455) can reduce 213 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (664) ~ (all_0_51_51 = e3) % 59.18/24.52 | (1097) all_0_56_56 = e3 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1097,679) yields a new equation: % 59.18/24.52 | (675) e3 = e0 % 59.18/24.52 | % 59.18/24.52 | Simplifying 675 yields: % 59.18/24.52 | (676) e3 = e0 % 59.18/24.52 | % 59.18/24.52 | Equations (676) can reduce 80 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.52 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (113), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (403) all_0_41_41 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (403) can reduce 1898 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.52 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1899), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (516) all_0_42_42 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (516) can reduce 198 to: % 59.18/24.52 | (2538) ~ (all_0_47_47 = e3) % 59.18/24.52 | % 59.18/24.52 | Simplifying 2538 yields: % 59.18/24.52 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.52 | % 59.18/24.52 | Equations (516) can reduce 51 to: % 59.18/24.52 | (212) ~ (e3 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (516) can reduce 1380 to: % 59.18/24.52 | (213) ~ (e3 = e1) % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (428), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (1557) all_0_46_46 = e3 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1557,545) yields a new equation: % 59.18/24.52 | (454) e3 = e1 % 59.18/24.52 | % 59.18/24.52 | Simplifying 454 yields: % 59.18/24.52 | (455) e3 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (455) can reduce 213 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (409) ~ (all_0_46_46 = e3) % 59.18/24.52 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1561), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (522) all_0_47_47 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (522) can reduce 1091 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1091) ~ (all_0_47_47 = e3) % 59.18/24.52 | (884) all_0_49_49 = e3 % 59.18/24.52 | % 59.18/24.52 | Combining equations (583,884) yields a new equation: % 59.18/24.52 | (662) e3 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (662) can reduce 212 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (405) ~ (all_0_42_42 = e3) % 59.18/24.52 | (532) all_0_44_44 = e3 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1414,532) yields a new equation: % 59.18/24.52 | (676) e3 = e0 % 59.18/24.52 | % 59.18/24.52 | Equations (676) can reduce 80 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (880) ~ (all_0_58_58 = e1) % 59.18/24.52 | (795) all_0_58_58 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (795) can reduce 276 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (549) ~ (all_0_46_46 = e1) % 59.18/24.52 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (550), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (654) all_0_47_47 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (654) can reduce 462 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (462) ~ (all_0_47_47 = e1) % 59.18/24.52 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (659), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (615) all_0_48_48 = e1 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1279,615) yields a new equation: % 59.18/24.52 | (431) e1 = e0 % 59.18/24.52 | % 59.18/24.52 | Equations (431) can reduce 233 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (619) ~ (all_0_48_48 = e1) % 59.18/24.52 | (671) all_0_49_49 = e1 % 59.18/24.52 | % 59.18/24.52 | Combining equations (583,671) yields a new equation: % 59.18/24.52 | (616) e2 = e1 % 59.18/24.52 | % 59.18/24.52 | Simplifying 616 yields: % 59.18/24.52 | (617) e2 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (617) can reduce 122 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (360) ~ (all_0_44_44 = e0) % 59.18/24.52 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1417), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (635) all_0_44_44 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (635) can reduce 639 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (639) ~ (all_0_44_44 = e1) % 59.18/24.52 | (532) all_0_44_44 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (532) can reduce 407 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (464) ~ (all_0_51_51 = e1) % 59.18/24.52 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1104), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (1109) all_0_51_51 = e1 % 59.18/24.52 | % 59.18/24.52 | Equations (1109) can reduce 464 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (464) ~ (all_0_51_51 = e1) % 59.18/24.52 | (660) all_0_51_51 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (660) can reduce 664 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (903) ~ (all_0_53_53 = e3) % 59.18/24.52 | (795) all_0_58_58 = e3 % 59.18/24.52 | % 59.18/24.52 | Equations (795) can reduce 276 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (340) ~ (all_0_49_49 = e2) % 59.18/24.52 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (10171), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (1105) all_0_47_47 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (1105) can reduce 338 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (338) ~ (all_0_47_47 = e2) % 59.18/24.52 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (10761), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (335) all_0_48_48 = e2 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1279,335) yields a new equation: % 59.18/24.52 | (330) e2 = e0 % 59.18/24.52 | % 59.18/24.52 | Equations (330) can reduce 128 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (810) ~ (all_0_48_48 = e2) % 59.18/24.52 | (583) all_0_49_49 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (583) can reduce 340 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (302) ~ (all_0_50_50 = e2) % 59.18/24.52 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (24424), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (1794) all_0_46_46 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (1794) can reduce 43 to: % 59.18/24.52 | (85) ~ (all_0_41_41 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (1794) can reduce 19 to: % 59.18/24.52 | (22180) ~ (all_0_47_47 = e2) % 59.18/24.52 | % 59.18/24.52 | Simplifying 22180 yields: % 59.18/24.52 | (338) ~ (all_0_47_47 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (1794) can reduce 58 to: % 59.18/24.52 | (303) ~ (all_0_55_55 = e2) % 59.18/24.52 | % 59.18/24.52 | Simplifying 303 yields: % 59.18/24.52 | (304) ~ (all_0_55_55 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (1794) can reduce 250 to: % 59.18/24.52 | (327) ~ (e4 = e2) % 59.18/24.52 | % 59.18/24.52 | Simplifying 327 yields: % 59.18/24.52 | (48) ~ (e4 = e2) % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (381), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (504) all_0_51_51 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (504) can reduce 1099 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (1099) ~ (all_0_51_51 = e2) % 59.18/24.52 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (158), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (313) all_0_40_40 = e2 % 59.18/24.52 | % 59.18/24.52 | Combining equations (1378,313) yields a new equation: % 59.18/24.52 | (322) e4 = e2 % 59.18/24.52 | % 59.18/24.52 | Simplifying 322 yields: % 59.18/24.52 | (323) e4 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (323) can reduce 48 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (296) ~ (all_0_40_40 = e2) % 59.18/24.52 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (1378) can reduce 296 to: % 59.18/24.52 | (48) ~ (e4 = e2) % 59.18/24.52 | % 59.18/24.52 +-Applying beta-rule and splitting (1152), into two cases. % 59.18/24.52 |-Branch one: % 59.18/24.52 | (352) all_0_52_52 = e2 % 59.18/24.52 | % 59.18/24.52 | Combining equations (352,565) yields a new equation: % 59.18/24.52 | (323) e4 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (323) can reduce 48 to: % 59.18/24.52 | (266) $false % 59.18/24.52 | % 59.18/24.52 |-The branch is then unsatisfiable % 59.18/24.52 |-Branch two: % 59.18/24.52 | (342) ~ (all_0_52_52 = e2) % 59.18/24.52 | (607) all_0_53_53 = e2 % 59.18/24.52 | % 59.18/24.52 | Equations (607) can reduce 220 to: % 59.18/24.52 | (147) ~ (all_0_44_44 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (607) can reduce 65 to: % 59.18/24.52 | (340) ~ (all_0_49_49 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (607) can reduce 190 to: % 59.18/24.52 | (302) ~ (all_0_50_50 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (607) can reduce 6 to: % 59.18/24.52 | (1099) ~ (all_0_51_51 = e2) % 59.18/24.52 | % 59.18/24.52 | Equations (607) can reduce 10 to: % 59.18/24.52 | (1186) ~ (all_0_58_58 = e2) % 59.18/24.52 | % 59.18/24.52 | Simplifying 1186 yields: % 59.18/24.52 | (908) ~ (all_0_58_58 = e2) % 59.18/24.53 | % 59.18/24.53 | Equations (607) can reduce 1453 to: % 59.18/24.53 | (327) ~ (e4 = e2) % 59.18/24.53 | % 59.18/24.53 | Simplifying 327 yields: % 59.18/24.53 | (48) ~ (e4 = e2) % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (168), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (415) all_0_50_50 = e3 % 59.18/24.53 | % 59.18/24.53 | Equations (415) can reduce 221 to: % 59.18/24.53 | (1898) ~ (all_0_41_41 = e3) % 59.18/24.53 | % 59.18/24.53 | Equations (415) can reduce 59 to: % 59.18/24.53 | (1925) ~ (all_0_51_51 = e3) % 59.18/24.53 | % 59.18/24.53 | Simplifying 1925 yields: % 59.18/24.53 | (664) ~ (all_0_51_51 = e3) % 59.18/24.53 | % 59.18/24.53 | From (415) and (242) follows: % 59.18/24.53 | (1934) op(e1, e3) = e3 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (160), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (601) all_0_50_50 = e1 % 59.18/24.53 | % 59.18/24.53 | Combining equations (415,601) yields a new equation: % 59.18/24.53 | (454) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Simplifying 454 yields: % 59.18/24.53 | (455) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (455) can reduce 213 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (759) ~ (all_0_50_50 = e1) % 59.18/24.53 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (415) can reduce 759 to: % 59.18/24.53 | (213) ~ (e3 = e1) % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (27), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (437) all_0_41_41 = e4 % 59.18/24.53 | % 59.18/24.53 | Equations (437) can reduce 191 to: % 59.18/24.53 | (1909) ~ (all_0_55_55 = e4) % 59.18/24.53 | % 59.18/24.53 | Simplifying 1909 yields: % 59.18/24.53 | (763) ~ (all_0_55_55 = e4) % 59.18/24.53 | % 59.18/24.53 | Equations (437) can reduce 1898 to: % 59.18/24.53 | (188) ~ (e4 = e3) % 59.18/24.53 | % 59.18/24.53 | Equations (437) can reduce 85 to: % 59.18/24.53 | (48) ~ (e4 = e2) % 59.18/24.53 | % 59.18/24.53 | Equations (437) can reduce 457 to: % 59.18/24.53 | (110) ~ (e4 = e1) % 59.18/24.53 | % 59.18/24.53 | From (437) and (219) follows: % 59.18/24.53 | (1913) op(e3, e3) = e4 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (18), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (453) all_0_41_41 = e1 % 59.18/24.53 | % 59.18/24.53 | Combining equations (453,437) yields a new equation: % 59.18/24.53 | (630) e4 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (630) can reduce 110 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (457) ~ (all_0_41_41 = e1) % 59.18/24.53 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (7), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (504) all_0_51_51 = e2 % 59.18/24.53 | % 59.18/24.53 | Equations (504) can reduce 1099 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (1099) ~ (all_0_51_51 = e2) % 59.18/24.53 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (1100), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (1101) all_0_51_51 = e4 % 59.18/24.53 | % 59.18/24.53 | Equations (1101) can reduce 475 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (475) ~ (all_0_51_51 = e4) % 59.18/24.53 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (595), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (545) all_0_46_46 = e1 % 59.18/24.53 | % 59.18/24.53 | Combining equations (1794,545) yields a new equation: % 59.18/24.53 | (616) e2 = e1 % 59.18/24.53 | % 59.18/24.53 | Simplifying 616 yields: % 59.18/24.53 | (617) e2 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (617) can reduce 122 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (549) ~ (all_0_46_46 = e1) % 59.18/24.53 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (600), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (601) all_0_50_50 = e1 % 59.18/24.53 | % 59.18/24.53 | Combining equations (415,601) yields a new equation: % 59.18/24.53 | (454) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Simplifying 454 yields: % 59.18/24.53 | (455) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (455) can reduce 213 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (759) ~ (all_0_50_50 = e1) % 59.18/24.53 | (629) all_0_55_55 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (629) can reduce 3 to: % 59.18/24.53 | (879) ~ (all_0_58_58 = e1) % 59.18/24.53 | % 59.18/24.53 | Simplifying 879 yields: % 59.18/24.53 | (880) ~ (all_0_58_58 = e1) % 59.18/24.53 | % 59.18/24.53 | Equations (629) can reduce 763 to: % 59.18/24.53 | (602) ~ (e4 = e1) % 59.18/24.53 | % 59.18/24.53 | Simplifying 602 yields: % 59.18/24.53 | (110) ~ (e4 = e1) % 59.18/24.53 | % 59.18/24.53 | From (629) and (74) follows: % 59.18/24.53 | (6587) op(e0, e3) = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (171), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (265) all_0_54_54 = e4 % 59.18/24.53 | % 59.18/24.53 | Combining equations (268,265) yields a new equation: % 59.18/24.53 | (425) e4 = e3 % 59.18/24.53 | % 59.18/24.53 | Equations (425) can reduce 188 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (258) ~ (all_0_54_54 = e4) % 59.18/24.53 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (575), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (587) all_0_55_55 = e4 % 59.18/24.53 | % 59.18/24.53 | Combining equations (629,587) yields a new equation: % 59.18/24.53 | (630) e4 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (630) can reduce 110 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (763) ~ (all_0_55_55 = e4) % 59.18/24.53 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (764), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (842) all_0_56_56 = e4 % 59.18/24.53 | % 59.18/24.53 | Equations (842) can reduce 44 to: % 59.18/24.53 | (450) ~ (all_0_58_58 = e4) % 59.18/24.53 | % 59.18/24.53 | Simplifying 450 yields: % 59.18/24.53 | (451) ~ (all_0_58_58 = e4) % 59.18/24.53 | % 59.18/24.53 | From (842) and (111) follows: % 59.18/24.53 | (2154) op(e0, e2) = e4 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (112), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (635) all_0_44_44 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (635) can reduce 639 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (639) ~ (all_0_44_44 = e1) % 59.18/24.53 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (108), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (624) all_0_58_58 = e2 % 59.18/24.53 | % 59.18/24.53 | Equations (624) can reduce 908 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (908) ~ (all_0_58_58 = e2) % 59.18/24.53 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (1104), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (1109) all_0_51_51 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (1109) can reduce 61 to: % 59.18/24.53 | (1380) ~ (all_0_42_42 = e1) % 59.18/24.53 | % 59.18/24.53 | Equations (1109) can reduce 1099 to: % 59.18/24.53 | (604) ~ (e2 = e1) % 59.18/24.53 | % 59.18/24.53 | Simplifying 604 yields: % 59.18/24.53 | (122) ~ (e2 = e1) % 59.18/24.53 | % 59.18/24.53 | From (1109) and (186) follows: % 59.18/24.53 | (699) op(e1, e2) = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (909), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (910) all_0_58_58 = e4 % 59.18/24.53 | % 59.18/24.53 | Equations (910) can reduce 451 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (451) ~ (all_0_58_58 = e4) % 59.18/24.53 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (913), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (914) all_0_58_58 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (914) can reduce 181 to: % 59.18/24.53 | (360) ~ (all_0_44_44 = e0) % 59.18/24.53 | % 59.18/24.53 | Equations (914) can reduce 119 to: % 59.18/24.53 | (487) ~ (all_0_49_49 = e0) % 59.18/24.53 | % 59.18/24.53 | Equations (914) can reduce 451 to: % 59.18/24.53 | (401) ~ (e4 = e0) % 59.18/24.53 | % 59.18/24.53 | Simplifying 401 yields: % 59.18/24.53 | (49) ~ (e4 = e0) % 59.18/24.53 | % 59.18/24.53 | Equations (914) can reduce 880 to: % 59.18/24.53 | (435) ~ (e1 = e0) % 59.18/24.53 | % 59.18/24.53 | Simplifying 435 yields: % 59.18/24.53 | (233) ~ (e1 = e0) % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (165), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (794) all_0_41_41 = e0 % 59.18/24.53 | % 59.18/24.53 | Combining equations (794,437) yields a new equation: % 59.18/24.53 | (397) e4 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (397) can reduce 49 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (357) ~ (all_0_41_41 = e0) % 59.18/24.53 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (6761), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (559) all_0_42_42 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (559) can reduce 1380 to: % 59.18/24.53 | (435) ~ (e1 = e0) % 59.18/24.53 | % 59.18/24.53 | Simplifying 435 yields: % 59.18/24.53 | (233) ~ (e1 = e0) % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (135), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (545) all_0_46_46 = e1 % 59.18/24.53 | % 59.18/24.53 | Combining equations (545,1794) yields a new equation: % 59.18/24.53 | (617) e2 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (617) can reduce 122 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (549) ~ (all_0_46_46 = e1) % 59.18/24.53 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (1794) can reduce 549 to: % 59.18/24.53 | (122) ~ (e2 = e1) % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (54), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (583) all_0_49_49 = e2 % 59.18/24.53 | % 59.18/24.53 | Equations (583) can reduce 340 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (340) ~ (all_0_49_49 = e2) % 59.18/24.53 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (640), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (671) all_0_49_49 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (671) can reduce 340 to: % 59.18/24.53 | (604) ~ (e2 = e1) % 59.18/24.53 | % 59.18/24.53 | Simplifying 604 yields: % 59.18/24.53 | (122) ~ (e2 = e1) % 59.18/24.53 | % 59.18/24.53 | Equations (671) can reduce 487 to: % 59.18/24.53 | (233) ~ (e1 = e0) % 59.18/24.53 | % 59.18/24.53 | From (671) and (55) follows: % 59.18/24.53 | (673) op(e2, e0) = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (56), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (696) unit = e2 % 59.18/24.53 | % 59.18/24.53 | From (696) and (209) follows: % 59.18/24.53 | (7585) op(e2, e0) = e0 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e2, e0, e0, e1 and discharging atoms op(e2, e0) = e1, op(e2, e0) = e0, yields: % 59.18/24.53 | (431) e1 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (431) can reduce 233 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (707) ~ (unit = e2) % 59.18/24.53 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (708), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (709) unit = e4 % 59.18/24.53 | % 59.18/24.53 | From (709) and (211) follows: % 59.18/24.53 | (22527) op(e4, e1) = e1 % 59.18/24.53 | % 59.18/24.53 | From (709) and (42) follows: % 59.18/24.53 | (713) op(e0, e4) = e0 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.18/24.53 | (455) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.18/24.53 | (676) e3 = e0 % 59.18/24.53 | % 59.18/24.53 | Combining equations (455,676) yields a new equation: % 59.18/24.53 | (546) e1 = e0 % 59.18/24.53 | % 59.18/24.53 | Simplifying 546 yields: % 59.18/24.53 | (431) e1 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (431) can reduce 233 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (724) ~ (unit = e4) % 59.18/24.53 | (725) unit = e3 | unit = e1 | unit = e0 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (725), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (726) unit = e0 % 59.18/24.53 | % 59.18/24.53 | From (726) and (244) follows: % 59.18/24.53 | (2207) op(e0, e4) = e4 % 59.18/24.53 | % 59.18/24.53 | From (726) and (24) follows: % 59.18/24.53 | (2208) op(e0, e3) = e3 % 59.18/24.53 | % 59.18/24.53 | From (726) and (15) follows: % 59.18/24.53 | (1508) op(e0, e2) = e2 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.18/24.53 | (425) e4 = e3 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 59.18/24.53 | (455) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.18/24.53 | (323) e4 = e2 % 59.18/24.53 | % 59.18/24.53 | Combining equations (323,425) yields a new equation: % 59.18/24.53 | (662) e3 = e2 % 59.18/24.53 | % 59.18/24.53 | Combining equations (662,455) yields a new equation: % 59.18/24.53 | (616) e2 = e1 % 59.18/24.53 | % 59.18/24.53 | Simplifying 616 yields: % 59.18/24.53 | (617) e2 = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (617) can reduce 122 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (734) ~ (unit = e0) % 59.18/24.53 | (735) unit = e3 | unit = e1 % 59.18/24.53 | % 59.18/24.53 +-Applying beta-rule and splitting (735), into two cases. % 59.18/24.53 |-Branch one: % 59.18/24.53 | (736) unit = e1 % 59.18/24.53 | % 59.18/24.53 | Equations (736) can reduce 734 to: % 59.18/24.53 | (233) ~ (e1 = e0) % 59.18/24.53 | % 59.18/24.53 | From (736) and (15) follows: % 59.18/24.53 | (515) op(e1, e2) = e2 % 59.18/24.53 | % 59.18/24.53 | From (736) and (42) follows: % 59.18/24.53 | (3221) op(e0, e1) = e0 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 59.18/24.53 | (617) e2 = e1 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 59.18/24.53 | (330) e2 = e0 % 59.18/24.53 | % 59.18/24.53 | Combining equations (330,617) yields a new equation: % 59.18/24.53 | (431) e1 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (431) can reduce 233 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.53 |-Branch two: % 59.18/24.53 | (748) ~ (unit = e1) % 59.18/24.53 | (749) unit = e3 % 59.18/24.53 | % 59.18/24.53 | From (749) and (227) follows: % 59.18/24.53 | (22570) op(e4, e3) = e4 % 59.18/24.53 | % 59.18/24.53 | From (749) and (40) follows: % 59.18/24.53 | (3715) op(e3, e3) = e3 % 59.18/24.53 | % 59.18/24.53 | From (749) and (28) follows: % 59.18/24.53 | (2235) op(e1, e3) = e1 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 59.18/24.53 | (397) e4 = e0 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields: % 59.18/24.53 | (425) e4 = e3 % 59.18/24.53 | % 59.18/24.53 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.18/24.53 | (455) e3 = e1 % 59.18/24.53 | % 59.18/24.53 | Combining equations (397,425) yields a new equation: % 59.18/24.53 | (676) e3 = e0 % 59.18/24.53 | % 59.18/24.53 | Combining equations (455,676) yields a new equation: % 59.18/24.53 | (546) e1 = e0 % 59.18/24.53 | % 59.18/24.53 | Simplifying 546 yields: % 59.18/24.53 | (431) e1 = e0 % 59.18/24.53 | % 59.18/24.53 | Equations (431) can reduce 233 to: % 59.18/24.53 | (266) $false % 59.18/24.53 | % 59.18/24.53 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (1064) ~ (all_0_49_49 = e1) % 59.18/24.54 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (2141), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (1208) all_0_53_53 = e1 % 59.18/24.54 | % 59.18/24.54 | Combining equations (1208,607) yields a new equation: % 59.18/24.54 | (617) e2 = e1 % 59.18/24.54 | % 59.18/24.54 | Equations (617) can reduce 122 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (1459) ~ (all_0_53_53 = e1) % 59.18/24.54 | (918) all_0_58_58 = e1 % 59.18/24.54 | % 59.18/24.54 | Combining equations (914,918) yields a new equation: % 59.18/24.54 | (431) e1 = e0 % 59.18/24.54 | % 59.18/24.54 | Equations (431) can reduce 233 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (358) ~ (all_0_42_42 = e0) % 59.18/24.54 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (6766), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (356) all_0_43_43 = e0 % 59.18/24.54 | % 59.18/24.54 | Combining equations (430,356) yields a new equation: % 59.18/24.54 | (546) e1 = e0 % 59.18/24.54 | % 59.18/24.54 | Simplifying 546 yields: % 59.18/24.54 | (431) e1 = e0 % 59.18/24.54 | % 59.18/24.54 | Equations (431) can reduce 233 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (5470) ~ (all_0_43_43 = e0) % 59.18/24.54 | (1414) all_0_44_44 = e0 % 59.18/24.54 | % 59.18/24.54 | Equations (1414) can reduce 360 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (491) ~ (all_0_58_58 = e0) % 59.18/24.54 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (917), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (918) all_0_58_58 = e1 % 59.18/24.54 | % 59.18/24.54 | Equations (918) can reduce 880 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (880) ~ (all_0_58_58 = e1) % 59.18/24.54 | (795) all_0_58_58 = e3 % 59.18/24.54 | % 59.18/24.54 | Equations (795) can reduce 276 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (464) ~ (all_0_51_51 = e1) % 59.18/24.54 | (660) all_0_51_51 = e3 % 59.18/24.54 | % 59.18/24.54 | Equations (660) can reduce 664 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (477) ~ (all_0_56_56 = e4) % 59.18/24.54 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (935), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (871) all_0_57_57 = e4 % 59.18/24.54 | % 59.18/24.54 | Combining equations (442,871) yields a new equation: % 59.18/24.54 | (323) e4 = e2 % 59.18/24.54 | % 59.18/24.54 | Equations (323) can reduce 48 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (839) ~ (all_0_57_57 = e4) % 59.18/24.54 | (910) all_0_58_58 = e4 % 59.18/24.54 | % 59.18/24.54 | Equations (910) can reduce 451 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (440) ~ (all_0_41_41 = e4) % 59.18/24.54 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (4049), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (794) all_0_41_41 = e0 % 59.18/24.54 | % 59.18/24.54 | Equations (794) can reduce 357 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (357) ~ (all_0_41_41 = e0) % 59.18/24.54 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (4053), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (453) all_0_41_41 = e1 % 59.18/24.54 | % 59.18/24.54 | Equations (453) can reduce 457 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (457) ~ (all_0_41_41 = e1) % 59.18/24.54 | (403) all_0_41_41 = e3 % 59.18/24.54 | % 59.18/24.54 | Equations (403) can reduce 1898 to: % 59.18/24.54 | (266) $false % 59.18/24.54 | % 59.18/24.54 |-The branch is then unsatisfiable % 59.18/24.54 |-Branch two: % 59.18/24.54 | (411) ~ (all_0_50_50 = e3) % 59.18/24.54 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.18/24.54 | % 59.18/24.54 +-Applying beta-rule and splitting (418), into two cases. % 59.18/24.54 |-Branch one: % 59.18/24.54 | (660) all_0_51_51 = e3 % 59.18/24.54 | % 59.18/24.54 | Equations (660) can reduce 61 to: % 59.18/24.54 | (405) ~ (all_0_42_42 = e3) % 59.18/24.54 | % 59.18/24.54 | Equations (660) can reduce 59 to: % 59.18/24.54 | (411) ~ (all_0_50_50 = e3) % 59.18/24.54 | % 59.18/24.54 | Equations (660) can reduce 475 to: % 59.18/24.54 | (277) ~ (e4 = e3) % 59.18/24.54 | % 59.32/24.54 | Simplifying 277 yields: % 59.32/24.54 | (188) ~ (e4 = e3) % 59.32/24.54 | % 59.32/24.54 | Equations (660) can reduce 1099 to: % 59.32/24.54 | (212) ~ (e3 = e2) % 59.32/24.54 | % 59.32/24.54 | From (660) and (186) follows: % 59.32/24.54 | (1552) op(e1, e2) = e3 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (160), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (601) all_0_50_50 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (601) can reduce 221 to: % 59.32/24.54 | (457) ~ (all_0_41_41 = e1) % 59.32/24.54 | % 59.32/24.54 | Equations (601) can reduce 93 to: % 59.32/24.54 | (2331) ~ (all_0_55_55 = e1) % 59.32/24.54 | % 59.32/24.54 | Simplifying 2331 yields: % 59.32/24.54 | (632) ~ (all_0_55_55 = e1) % 59.32/24.54 | % 59.32/24.54 | Equations (601) can reduce 566 to: % 59.32/24.54 | (602) ~ (e4 = e1) % 59.32/24.54 | % 59.32/24.54 | Simplifying 602 yields: % 59.32/24.54 | (110) ~ (e4 = e1) % 59.32/24.54 | % 59.32/24.54 | Equations (601) can reduce 302 to: % 59.32/24.54 | (604) ~ (e2 = e1) % 59.32/24.54 | % 59.32/24.54 | Simplifying 604 yields: % 59.32/24.54 | (122) ~ (e2 = e1) % 59.32/24.54 | % 59.32/24.54 | Equations (601) can reduce 121 to: % 59.32/24.54 | (233) ~ (e1 = e0) % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (174), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (386) all_0_55_55 = e2 % 59.32/24.54 | % 59.32/24.54 | Equations (386) can reduce 304 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (304) ~ (all_0_55_55 = e2) % 59.32/24.54 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (144), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (403) all_0_41_41 = e3 % 59.32/24.54 | % 59.32/24.54 | Equations (403) can reduce 149 to: % 59.32/24.54 | (406) ~ (all_0_44_44 = e3) % 59.32/24.54 | % 59.32/24.54 | Simplifying 406 yields: % 59.32/24.54 | (407) ~ (all_0_44_44 = e3) % 59.32/24.54 | % 59.32/24.54 | Equations (403) can reduce 85 to: % 59.32/24.54 | (212) ~ (e3 = e2) % 59.32/24.54 | % 59.32/24.54 | Equations (403) can reduce 457 to: % 59.32/24.54 | (213) ~ (e3 = e1) % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (64), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (437) all_0_41_41 = e4 % 59.32/24.54 | % 59.32/24.54 | Combining equations (437,403) yields a new equation: % 59.32/24.54 | (424) e4 = e3 % 59.32/24.54 | % 59.32/24.54 | Simplifying 424 yields: % 59.32/24.54 | (425) e4 = e3 % 59.32/24.54 | % 59.32/24.54 | Equations (425) can reduce 188 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (440) ~ (all_0_41_41 = e4) % 59.32/24.54 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (189), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (532) all_0_44_44 = e3 % 59.32/24.54 | % 59.32/24.54 | Equations (532) can reduce 407 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (407) ~ (all_0_44_44 = e3) % 59.32/24.54 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (537), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (884) all_0_49_49 = e3 % 59.32/24.54 | % 59.32/24.54 | Equations (884) can reduce 86 to: % 59.32/24.54 | (1091) ~ (all_0_47_47 = e3) % 59.32/24.54 | % 59.32/24.54 | Equations (884) can reduce 256 to: % 59.32/24.54 | (277) ~ (e4 = e3) % 59.32/24.54 | % 59.32/24.54 | Simplifying 277 yields: % 59.32/24.54 | (188) ~ (e4 = e3) % 59.32/24.54 | % 59.32/24.54 | Equations (884) can reduce 487 to: % 59.32/24.54 | (80) ~ (e3 = e0) % 59.32/24.54 | % 59.32/24.54 | From (884) and (55) follows: % 59.32/24.54 | (1581) op(e2, e0) = e3 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (135), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (545) all_0_46_46 = e1 % 59.32/24.54 | % 59.32/24.54 | Combining equations (1794,545) yields a new equation: % 59.32/24.54 | (616) e2 = e1 % 59.32/24.54 | % 59.32/24.54 | Simplifying 616 yields: % 59.32/24.54 | (617) e2 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (617) can reduce 122 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (549) ~ (all_0_46_46 = e1) % 59.32/24.54 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (1794) can reduce 549 to: % 59.32/24.54 | (122) ~ (e2 = e1) % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (112), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (635) all_0_44_44 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (635) can reduce 639 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (639) ~ (all_0_44_44 = e1) % 59.32/24.54 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (2051), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (587) all_0_55_55 = e4 % 59.32/24.54 | % 59.32/24.54 | Equations (587) can reduce 3 to: % 59.32/24.54 | (450) ~ (all_0_58_58 = e4) % 59.32/24.54 | % 59.32/24.54 | Simplifying 450 yields: % 59.32/24.54 | (451) ~ (all_0_58_58 = e4) % 59.32/24.54 | % 59.32/24.54 | Equations (587) can reduce 632 to: % 59.32/24.54 | (110) ~ (e4 = e1) % 59.32/24.54 | % 59.32/24.54 | Equations (587) can reduce 803 to: % 59.32/24.54 | (49) ~ (e4 = e0) % 59.32/24.54 | % 59.32/24.54 | From (587) and (74) follows: % 59.32/24.54 | (589) op(e0, e3) = e4 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (441), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (1392) all_0_42_42 = e4 % 59.32/24.54 | % 59.32/24.54 | Equations (1392) can reduce 73 to: % 59.32/24.54 | (1903) ~ (all_0_44_44 = e4) % 59.32/24.54 | % 59.32/24.54 | Simplifying 1903 yields: % 59.32/24.54 | (1390) ~ (all_0_44_44 = e4) % 59.32/24.54 | % 59.32/24.54 | Equations (1392) can reduce 198 to: % 59.32/24.54 | (251) ~ (all_0_47_47 = e4) % 59.32/24.54 | % 59.32/24.54 | Simplifying 251 yields: % 59.32/24.54 | (252) ~ (all_0_47_47 = e4) % 59.32/24.54 | % 59.32/24.54 | From (1392) and (210) follows: % 59.32/24.54 | (4074) op(e3, e2) = e4 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (105), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (1105) all_0_47_47 = e2 % 59.32/24.54 | % 59.32/24.54 | Equations (1105) can reduce 338 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (338) ~ (all_0_47_47 = e2) % 59.32/24.54 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (165), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (794) all_0_41_41 = e0 % 59.32/24.54 | % 59.32/24.54 | Combining equations (794,403) yields a new equation: % 59.32/24.54 | (676) e3 = e0 % 59.32/24.54 | % 59.32/24.54 | Equations (676) can reduce 80 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (357) ~ (all_0_41_41 = e0) % 59.32/24.54 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (640), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (671) all_0_49_49 = e1 % 59.32/24.54 | % 59.32/24.54 | Combining equations (884,671) yields a new equation: % 59.32/24.54 | (454) e3 = e1 % 59.32/24.54 | % 59.32/24.54 | Simplifying 454 yields: % 59.32/24.54 | (455) e3 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (455) can reduce 213 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (1064) ~ (all_0_49_49 = e1) % 59.32/24.54 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (6761), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (559) all_0_42_42 = e0 % 59.32/24.54 | % 59.32/24.54 | Combining equations (1392,559) yields a new equation: % 59.32/24.54 | (481) e4 = e0 % 59.32/24.54 | % 59.32/24.54 | Simplifying 481 yields: % 59.32/24.54 | (397) e4 = e0 % 59.32/24.54 | % 59.32/24.54 | Equations (397) can reduce 49 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (358) ~ (all_0_42_42 = e0) % 59.32/24.54 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (6766), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (356) all_0_43_43 = e0 % 59.32/24.54 | % 59.32/24.54 | Combining equations (430,356) yields a new equation: % 59.32/24.54 | (546) e1 = e0 % 59.32/24.54 | % 59.32/24.54 | Simplifying 546 yields: % 59.32/24.54 | (431) e1 = e0 % 59.32/24.54 | % 59.32/24.54 | Equations (431) can reduce 233 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (5470) ~ (all_0_43_43 = e0) % 59.32/24.54 | (1414) all_0_44_44 = e0 % 59.32/24.54 | % 59.32/24.54 | Equations (1414) can reduce 181 to: % 59.32/24.54 | (490) ~ (all_0_58_58 = e0) % 59.32/24.54 | % 59.32/24.54 | Simplifying 490 yields: % 59.32/24.54 | (491) ~ (all_0_58_58 = e0) % 59.32/24.54 | % 59.32/24.54 | Equations (1414) can reduce 1390 to: % 59.32/24.54 | (401) ~ (e4 = e0) % 59.32/24.54 | % 59.32/24.54 | Simplifying 401 yields: % 59.32/24.54 | (49) ~ (e4 = e0) % 59.32/24.54 | % 59.32/24.54 | Equations (1414) can reduce 147 to: % 59.32/24.54 | (365) ~ (e2 = e0) % 59.32/24.54 | % 59.32/24.54 | Simplifying 365 yields: % 59.32/24.54 | (128) ~ (e2 = e0) % 59.32/24.54 | % 59.32/24.54 | From (1414) and (138) follows: % 59.32/24.54 | (1667) op(e3, e0) = e0 % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (2141), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (1208) all_0_53_53 = e1 % 59.32/24.54 | % 59.32/24.54 | Combining equations (1208,607) yields a new equation: % 59.32/24.54 | (617) e2 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (617) can reduce 122 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.54 | (1459) ~ (all_0_53_53 = e1) % 59.32/24.54 | (918) all_0_58_58 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (918) can reduce 451 to: % 59.32/24.54 | (602) ~ (e4 = e1) % 59.32/24.54 | % 59.32/24.54 | Simplifying 602 yields: % 59.32/24.54 | (110) ~ (e4 = e1) % 59.32/24.54 | % 59.32/24.54 | Equations (918) can reduce 491 to: % 59.32/24.54 | (233) ~ (e1 = e0) % 59.32/24.54 | % 59.32/24.54 +-Applying beta-rule and splitting (131), into two cases. % 59.32/24.54 |-Branch one: % 59.32/24.54 | (459) all_0_42_42 = e1 % 59.32/24.54 | % 59.32/24.54 | Combining equations (459,1392) yields a new equation: % 59.32/24.54 | (630) e4 = e1 % 59.32/24.54 | % 59.32/24.54 | Equations (630) can reduce 110 to: % 59.32/24.54 | (266) $false % 59.32/24.54 | % 59.32/24.54 |-The branch is then unsatisfiable % 59.32/24.54 |-Branch two: % 59.32/24.55 | (1380) ~ (all_0_42_42 = e1) % 59.32/24.55 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (125), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (858) all_0_55_55 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (858,587) yields a new equation: % 59.32/24.55 | (397) e4 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (397) can reduce 49 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (803) ~ (all_0_55_55 = e0) % 59.32/24.55 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (133), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (833) all_0_56_56 = e2 % 59.32/24.55 | % 59.32/24.55 | Equations (833) can reduce 511 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (511) ~ (all_0_56_56 = e2) % 59.32/24.55 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (3259), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (654) all_0_47_47 = e1 % 59.32/24.55 | % 59.32/24.55 | Equations (654) can reduce 91 to: % 59.32/24.55 | (465) ~ (all_0_56_56 = e1) % 59.32/24.55 | % 59.32/24.55 | Simplifying 465 yields: % 59.32/24.55 | (466) ~ (all_0_56_56 = e1) % 59.32/24.55 | % 59.32/24.55 | Equations (654) can reduce 678 to: % 59.32/24.55 | (233) ~ (e1 = e0) % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (863), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (679) all_0_56_56 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (679) can reduce 511 to: % 59.32/24.55 | (365) ~ (e2 = e0) % 59.32/24.55 | % 59.32/24.55 | Simplifying 365 yields: % 59.32/24.55 | (128) ~ (e2 = e0) % 59.32/24.55 | % 59.32/24.55 | Equations (679) can reduce 466 to: % 59.32/24.55 | (435) ~ (e1 = e0) % 59.32/24.55 | % 59.32/24.55 | Simplifying 435 yields: % 59.32/24.55 | (233) ~ (e1 = e0) % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (56), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (696) unit = e2 % 59.32/24.55 | % 59.32/24.55 | From (696) and (209) follows: % 59.32/24.55 | (7585) op(e2, e0) = e0 % 59.32/24.55 | % 59.32/24.55 | From (696) and (227) follows: % 59.32/24.55 | (4284) op(e4, e2) = e4 % 59.32/24.55 | % 59.32/24.55 | From (696) and (40) follows: % 59.32/24.55 | (4285) op(e3, e2) = e3 % 59.32/24.55 | % 59.32/24.55 | From (696) and (28) follows: % 59.32/24.55 | (699) op(e1, e2) = e1 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.32/24.55 | (323) e4 = e2 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.32/24.55 | (425) e4 = e3 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.32/24.55 | (676) e3 = e0 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.32/24.55 | (455) e3 = e1 % 59.32/24.55 | % 59.32/24.55 | Combining equations (323,425) yields a new equation: % 59.32/24.55 | (662) e3 = e2 % 59.32/24.55 | % 59.32/24.55 | Combining equations (455,662) yields a new equation: % 59.32/24.55 | (617) e2 = e1 % 59.32/24.55 | % 59.32/24.55 | Combining equations (676,662) yields a new equation: % 59.32/24.55 | (330) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (330,617) yields a new equation: % 59.32/24.55 | (431) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (431) can reduce 233 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (707) ~ (unit = e2) % 59.32/24.55 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (708), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (709) unit = e4 % 59.32/24.55 | % 59.32/24.55 | From (709) and (211) follows: % 59.32/24.55 | (22527) op(e4, e1) = e1 % 59.32/24.55 | % 59.32/24.55 | From (709) and (42) follows: % 59.32/24.55 | (713) op(e0, e4) = e0 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 59.32/24.55 | (455) e3 = e1 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.32/24.55 | (676) e3 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (455,676) yields a new equation: % 59.32/24.55 | (546) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 546 yields: % 59.32/24.55 | (431) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (431) can reduce 233 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (724) ~ (unit = e4) % 59.32/24.55 | (725) unit = e3 | unit = e1 | unit = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (725), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (726) unit = e0 % 59.32/24.55 | % 59.32/24.55 | From (726) and (211) follows: % 59.32/24.55 | (15180) op(e0, e1) = e1 % 59.32/24.55 | % 59.32/24.55 | From (726) and (40) follows: % 59.32/24.55 | (1639) op(e3, e0) = e3 % 59.32/24.55 | % 59.32/24.55 | From (726) and (32) follows: % 59.32/24.55 | (727) op(e2, e0) = e2 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e3, e0, e3, e0 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.32/24.55 | (676) e3 = e0 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.32/24.55 | (662) e3 = e2 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 59.32/24.55 | (617) e2 = e1 % 59.32/24.55 | % 59.32/24.55 | Combining equations (676,662) yields a new equation: % 59.32/24.55 | (330) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (617,330) yields a new equation: % 59.32/24.55 | (546) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 546 yields: % 59.32/24.55 | (431) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (431) can reduce 233 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (734) ~ (unit = e0) % 59.32/24.55 | (735) unit = e3 | unit = e1 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (735), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (736) unit = e1 % 59.32/24.55 | % 59.32/24.55 | Equations (736) can reduce 734 to: % 59.32/24.55 | (233) ~ (e1 = e0) % 59.32/24.55 | % 59.32/24.55 | From (736) and (15) follows: % 59.32/24.55 | (515) op(e1, e2) = e2 % 59.32/24.55 | % 59.32/24.55 | From (736) and (227) follows: % 59.32/24.55 | (739) op(e4, e1) = e4 % 59.32/24.55 | % 59.32/24.55 | From (736) and (28) follows: % 59.32/24.55 | (740) op(e1, e1) = e1 % 59.32/24.55 | % 59.32/24.55 | From (736) and (42) follows: % 59.32/24.55 | (3221) op(e0, e1) = e0 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.32/24.55 | (425) e4 = e3 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.32/24.55 | (662) e3 = e2 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 59.32/24.55 | (630) e4 = e1 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 59.32/24.55 | (330) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (425,630) yields a new equation: % 59.32/24.55 | (454) e3 = e1 % 59.32/24.55 | % 59.32/24.55 | Simplifying 454 yields: % 59.32/24.55 | (455) e3 = e1 % 59.32/24.55 | % 59.32/24.55 | Combining equations (662,455) yields a new equation: % 59.32/24.55 | (616) e2 = e1 % 59.32/24.55 | % 59.32/24.55 | Simplifying 616 yields: % 59.32/24.55 | (617) e2 = e1 % 59.32/24.55 | % 59.32/24.55 | Combining equations (617,330) yields a new equation: % 59.32/24.55 | (546) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 546 yields: % 59.32/24.55 | (431) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (431) can reduce 233 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (748) ~ (unit = e1) % 59.32/24.55 | (749) unit = e3 % 59.32/24.55 | % 59.32/24.55 | From (749) and (15) follows: % 59.32/24.55 | (751) op(e3, e2) = e2 % 59.32/24.55 | % 59.32/24.55 | From (749) and (42) follows: % 59.32/24.55 | (752) op(e0, e3) = e0 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 59.32/24.55 | (323) e4 = e2 % 59.32/24.55 | % 59.32/24.55 | Instantiating formula (29) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 59.32/24.55 | (397) e4 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (323,397) yields a new equation: % 59.32/24.55 | (391) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 391 yields: % 59.32/24.55 | (330) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (330) can reduce 128 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (828) ~ (all_0_56_56 = e0) % 59.32/24.55 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (924), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (875) all_0_57_57 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (442,875) yields a new equation: % 59.32/24.55 | (391) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 391 yields: % 59.32/24.55 | (330) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (330) can reduce 128 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (364) ~ (all_0_57_57 = e0) % 59.32/24.55 | (914) all_0_58_58 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (918,914) yields a new equation: % 59.32/24.55 | (546) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 546 yields: % 59.32/24.55 | (431) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (431) can reduce 233 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (462) ~ (all_0_47_47 = e1) % 59.32/24.55 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (863), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (679) all_0_56_56 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (679) can reduce 91 to: % 59.32/24.55 | (678) ~ (all_0_47_47 = e0) % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (1789), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (1790) all_0_47_47 = e4 % 59.32/24.55 | % 59.32/24.55 | Equations (1790) can reduce 252 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (252) ~ (all_0_47_47 = e4) % 59.32/24.55 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (1793), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (674) all_0_47_47 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (674) can reduce 678 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (678) ~ (all_0_47_47 = e0) % 59.32/24.55 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (1831), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (654) all_0_47_47 = e1 % 59.32/24.55 | % 59.32/24.55 | Equations (654) can reduce 462 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (462) ~ (all_0_47_47 = e1) % 59.32/24.55 | (522) all_0_47_47 = e3 % 59.32/24.55 | % 59.32/24.55 | Equations (522) can reduce 1091 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (828) ~ (all_0_56_56 = e0) % 59.32/24.55 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (924), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (875) all_0_57_57 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (442,875) yields a new equation: % 59.32/24.55 | (391) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Simplifying 391 yields: % 59.32/24.55 | (330) e2 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (330) can reduce 128 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (364) ~ (all_0_57_57 = e0) % 59.32/24.55 | (914) all_0_58_58 = e0 % 59.32/24.55 | % 59.32/24.55 | Combining equations (914,918) yields a new equation: % 59.32/24.55 | (431) e1 = e0 % 59.32/24.55 | % 59.32/24.55 | Equations (431) can reduce 233 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (1890) ~ (all_0_42_42 = e4) % 59.32/24.55 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (26), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (446) all_0_44_44 = e4 % 59.32/24.55 | % 59.32/24.55 | Equations (446) can reduce 1390 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (1390) ~ (all_0_44_44 = e4) % 59.32/24.55 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (1891), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (396) all_0_43_43 = e4 % 59.32/24.55 | % 59.32/24.55 | Combining equations (430,396) yields a new equation: % 59.32/24.55 | (630) e4 = e1 % 59.32/24.55 | % 59.32/24.55 | Equations (630) can reduce 110 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (399) ~ (all_0_43_43 = e4) % 59.32/24.55 | (446) all_0_44_44 = e4 % 59.32/24.55 | % 59.32/24.55 | Equations (446) can reduce 1390 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (763) ~ (all_0_55_55 = e4) % 59.32/24.55 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (26), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (446) all_0_44_44 = e4 % 59.32/24.55 | % 59.32/24.55 | Equations (446) can reduce 1390 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (1390) ~ (all_0_44_44 = e4) % 59.32/24.55 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (171), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (265) all_0_54_54 = e4 % 59.32/24.55 | % 59.32/24.55 | Combining equations (268,265) yields a new equation: % 59.32/24.55 | (425) e4 = e3 % 59.32/24.55 | % 59.32/24.55 | Equations (425) can reduce 188 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.55 |-Branch two: % 59.32/24.55 | (258) ~ (all_0_54_54 = e4) % 59.32/24.55 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.32/24.55 | % 59.32/24.55 +-Applying beta-rule and splitting (575), into two cases. % 59.32/24.55 |-Branch one: % 59.32/24.55 | (587) all_0_55_55 = e4 % 59.32/24.55 | % 59.32/24.55 | Equations (587) can reduce 763 to: % 59.32/24.55 | (266) $false % 59.32/24.55 | % 59.32/24.55 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (763) ~ (all_0_55_55 = e4) % 59.32/24.56 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (764), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (842) all_0_56_56 = e4 % 59.32/24.56 | % 59.32/24.56 | Equations (842) can reduce 236 to: % 59.32/24.56 | (1890) ~ (all_0_42_42 = e4) % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (152), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (1392) all_0_42_42 = e4 % 59.32/24.56 | % 59.32/24.56 | Equations (1392) can reduce 1890 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1890) ~ (all_0_42_42 = e4) % 59.32/24.56 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (216), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (629) all_0_55_55 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (629) can reduce 632 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (632) ~ (all_0_55_55 = e1) % 59.32/24.56 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (441), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (1392) all_0_42_42 = e4 % 59.32/24.56 | % 59.32/24.56 | Equations (1392) can reduce 1890 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1890) ~ (all_0_42_42 = e4) % 59.32/24.56 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (633), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (1569) all_0_56_56 = e1 % 59.32/24.56 | % 59.32/24.56 | Combining equations (1569,842) yields a new equation: % 59.32/24.56 | (630) e4 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (630) can reduce 110 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (466) ~ (all_0_56_56 = e1) % 59.32/24.56 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (842) can reduce 466 to: % 59.32/24.56 | (110) ~ (e4 = e1) % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (1891), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (396) all_0_43_43 = e4 % 59.32/24.56 | % 59.32/24.56 | Combining equations (430,396) yields a new equation: % 59.32/24.56 | (630) e4 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (630) can reduce 110 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (399) ~ (all_0_43_43 = e4) % 59.32/24.56 | (446) all_0_44_44 = e4 % 59.32/24.56 | % 59.32/24.56 | Equations (446) can reduce 1390 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (477) ~ (all_0_56_56 = e4) % 59.32/24.56 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (164), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (471) all_0_39_39 = e4 % 59.32/24.56 | % 59.32/24.56 | Combining equations (471,317) yields a new equation: % 59.32/24.56 | (322) e4 = e2 % 59.32/24.56 | % 59.32/24.56 | Simplifying 322 yields: % 59.32/24.56 | (323) e4 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (323) can reduce 48 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1377) ~ (all_0_39_39 = e4) % 59.32/24.56 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.32/24.56 | % 59.32/24.56 | Equations (317) can reduce 1377 to: % 59.32/24.56 | (327) ~ (e4 = e2) % 59.32/24.56 | % 59.32/24.56 | Simplifying 327 yields: % 59.32/24.56 | (48) ~ (e4 = e2) % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (935), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (871) all_0_57_57 = e4 % 59.32/24.56 | % 59.32/24.56 | Combining equations (871,442) yields a new equation: % 59.32/24.56 | (322) e4 = e2 % 59.32/24.56 | % 59.32/24.56 | Simplifying 322 yields: % 59.32/24.56 | (323) e4 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (323) can reduce 48 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (839) ~ (all_0_57_57 = e4) % 59.32/24.56 | (910) all_0_58_58 = e4 % 59.32/24.56 | % 59.32/24.56 | Equations (910) can reduce 451 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (525) ~ (all_0_49_49 = e3) % 59.32/24.56 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (887), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (665) all_0_53_53 = e3 % 59.32/24.56 | % 59.32/24.56 | Combining equations (607,665) yields a new equation: % 59.32/24.56 | (662) e3 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (662) can reduce 212 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (903) ~ (all_0_53_53 = e3) % 59.32/24.56 | (795) all_0_58_58 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (795) can reduce 276 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1898) ~ (all_0_41_41 = e3) % 59.32/24.56 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (1923), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (1557) all_0_46_46 = e3 % 59.32/24.56 | % 59.32/24.56 | Combining equations (1557,1794) yields a new equation: % 59.32/24.56 | (661) e3 = e2 % 59.32/24.56 | % 59.32/24.56 | Simplifying 661 yields: % 59.32/24.56 | (662) e3 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (662) can reduce 212 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (409) ~ (all_0_46_46 = e3) % 59.32/24.56 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (113), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (403) all_0_41_41 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (403) can reduce 1898 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1898) ~ (all_0_41_41 = e3) % 59.32/24.56 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (1899), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (516) all_0_42_42 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (516) can reduce 405 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (405) ~ (all_0_42_42 = e3) % 59.32/24.56 | (532) all_0_44_44 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (532) can reduce 639 to: % 59.32/24.56 | (213) ~ (e3 = e1) % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (4042), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (415) all_0_50_50 = e3 % 59.32/24.56 | % 59.32/24.56 | Combining equations (415,601) yields a new equation: % 59.32/24.56 | (454) e3 = e1 % 59.32/24.56 | % 59.32/24.56 | Simplifying 454 yields: % 59.32/24.56 | (455) e3 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (455) can reduce 213 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (411) ~ (all_0_50_50 = e3) % 59.32/24.56 | (2336) all_0_55_55 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (2336) can reduce 270 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (759) ~ (all_0_50_50 = e1) % 59.32/24.56 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (144), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (403) all_0_41_41 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (403) can reduce 457 to: % 59.32/24.56 | (213) ~ (e3 = e1) % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (1168), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (1109) all_0_51_51 = e1 % 59.32/24.56 | % 59.32/24.56 | Combining equations (660,1109) yields a new equation: % 59.32/24.56 | (454) e3 = e1 % 59.32/24.56 | % 59.32/24.56 | Simplifying 454 yields: % 59.32/24.56 | (455) e3 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (455) can reduce 213 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (464) ~ (all_0_51_51 = e1) % 59.32/24.56 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (1202), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (642) all_0_52_52 = e1 % 59.32/24.56 | % 59.32/24.56 | Combining equations (565,642) yields a new equation: % 59.32/24.56 | (636) e4 = e1 % 59.32/24.56 | % 59.32/24.56 | Simplifying 636 yields: % 59.32/24.56 | (630) e4 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (630) can reduce 110 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (646) ~ (all_0_52_52 = e1) % 59.32/24.56 | (1208) all_0_53_53 = e1 % 59.32/24.56 | % 59.32/24.56 | Combining equations (607,1208) yields a new equation: % 59.32/24.56 | (616) e2 = e1 % 59.32/24.56 | % 59.32/24.56 | Simplifying 616 yields: % 59.32/24.56 | (617) e2 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (617) can reduce 122 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1898) ~ (all_0_41_41 = e3) % 59.32/24.56 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (1923), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (1557) all_0_46_46 = e3 % 59.32/24.56 | % 59.32/24.56 | Combining equations (1794,1557) yields a new equation: % 59.32/24.56 | (662) e3 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (662) can reduce 212 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (409) ~ (all_0_46_46 = e3) % 59.32/24.56 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (4042), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (415) all_0_50_50 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (415) can reduce 411 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (411) ~ (all_0_50_50 = e3) % 59.32/24.56 | (2336) all_0_55_55 = e3 % 59.32/24.56 | % 59.32/24.56 | Equations (2336) can reduce 270 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (664) ~ (all_0_51_51 = e3) % 59.32/24.56 | (665) all_0_53_53 = e3 % 59.32/24.56 | % 59.32/24.56 | Combining equations (665,607) yields a new equation: % 59.32/24.56 | (661) e3 = e2 % 59.32/24.56 | % 59.32/24.56 | Simplifying 661 yields: % 59.32/24.56 | (662) e3 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (662) can reduce 212 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (300) ~ (all_0_46_46 = e2) % 59.32/24.56 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 59.32/24.56 | % 59.32/24.56 +-Applying beta-rule and splitting (24428), into two cases. % 59.32/24.56 |-Branch one: % 59.32/24.56 | (378) all_0_50_50 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (378) can reduce 302 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (302) ~ (all_0_50_50 = e2) % 59.32/24.56 | (386) all_0_55_55 = e2 % 59.32/24.56 | % 59.32/24.56 | Equations (386) can reduce 304 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.56 |-Branch two: % 59.32/24.56 | (1283) ~ (all_0_48_48 = e0) % 59.32/24.56 | (615) all_0_48_48 = e1 % 59.32/24.56 | % 59.32/24.56 | Equations (615) can reduce 619 to: % 59.32/24.56 | (266) $false % 59.32/24.56 | % 59.32/24.56 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (780) ~ (all_0_52_52 = e4) % 59.32/24.57 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (355), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (565) all_0_52_52 = e4 % 59.32/24.57 | % 59.32/24.57 | Equations (565) can reduce 780 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (780) ~ (all_0_52_52 = e4) % 59.32/24.57 | (642) all_0_52_52 = e1 % 59.32/24.57 | % 59.32/24.57 | Equations (642) can reduce 342 to: % 59.32/24.57 | (604) ~ (e2 = e1) % 59.32/24.57 | % 59.32/24.57 | Simplifying 604 yields: % 59.32/24.57 | (122) ~ (e2 = e1) % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (781), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (789), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (790), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (791), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (792), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.32/24.57 | % 59.32/24.57 | Applying alpha-rule on (793) yields: % 59.32/24.57 | (794) all_0_41_41 = e0 % 59.32/24.57 | (795) all_0_58_58 = e3 % 59.32/24.57 | (407) ~ (all_0_44_44 = e3) % 59.32/24.57 | % 59.32/24.57 | Equations (795) can reduce 276 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.32/24.57 | % 59.32/24.57 | Applying alpha-rule on (800) yields: % 59.32/24.57 | (794) all_0_41_41 = e0 % 59.32/24.57 | (795) all_0_58_58 = e3 % 59.32/24.57 | (803) ~ (all_0_55_55 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (795) can reduce 276 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.32/24.57 | % 59.32/24.57 | Applying alpha-rule on (807) yields: % 59.32/24.57 | (654) all_0_47_47 = e1 % 59.32/24.57 | (352) all_0_52_52 = e2 % 59.32/24.57 | (810) ~ (all_0_48_48 = e2) % 59.32/24.57 | % 59.32/24.57 | Combining equations (352,642) yields a new equation: % 59.32/24.57 | (616) e2 = e1 % 59.32/24.57 | % 59.32/24.57 | Simplifying 616 yields: % 59.32/24.57 | (617) e2 = e1 % 59.32/24.57 | % 59.32/24.57 | Equations (617) can reduce 122 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.32/24.57 | % 59.32/24.57 | Applying alpha-rule on (813) yields: % 59.32/24.57 | (654) all_0_47_47 = e1 % 59.32/24.57 | (352) all_0_52_52 = e2 % 59.32/24.57 | (464) ~ (all_0_51_51 = e1) % 59.32/24.57 | % 59.32/24.57 | Combining equations (352,642) yields a new equation: % 59.32/24.57 | (616) e2 = e1 % 59.32/24.57 | % 59.32/24.57 | Simplifying 616 yields: % 59.32/24.57 | (617) e2 = e1 % 59.32/24.57 | % 59.32/24.57 | Equations (617) can reduce 122 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.32/24.57 | % 59.32/24.57 | Applying alpha-rule on (819) yields: % 59.32/24.57 | (674) all_0_47_47 = e0 % 59.32/24.57 | (624) all_0_58_58 = e2 % 59.32/24.57 | (340) ~ (all_0_49_49 = e2) % 59.32/24.57 | % 59.32/24.57 | Equations (624) can reduce 908 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.32/24.57 | % 59.32/24.57 | Applying alpha-rule on (825) yields: % 59.32/24.57 | (674) all_0_47_47 = e0 % 59.32/24.57 | (624) all_0_58_58 = e2 % 59.32/24.57 | (828) ~ (all_0_56_56 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (624) can reduce 908 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (332) ~ (all_0_38_38 = e0) % 59.32/24.57 | (333) all_0_39_39 = e0 | all_0_40_40 = e0 % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (333), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (480) all_0_39_39 = e0 % 59.32/24.57 | % 59.32/24.57 | Combining equations (480,317) yields a new equation: % 59.32/24.57 | (330) e2 = e0 % 59.32/24.57 | % 59.32/24.57 | Equations (330) can reduce 128 to: % 59.32/24.57 | (266) $false % 59.32/24.57 | % 59.32/24.57 |-The branch is then unsatisfiable % 59.32/24.57 |-Branch two: % 59.32/24.57 | (484) ~ (all_0_39_39 = e0) % 59.32/24.57 | (485) all_0_40_40 = e0 % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 97 to: % 59.32/24.57 | (332) ~ (all_0_38_38 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 143 to: % 59.32/24.57 | (359) ~ (all_0_44_44 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 359 yields: % 59.32/24.57 | (360) ~ (all_0_44_44 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 200 to: % 59.32/24.57 | (486) ~ (all_0_49_49 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 486 yields: % 59.32/24.57 | (487) ~ (all_0_49_49 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 162 to: % 59.32/24.57 | (488) ~ (all_0_53_53 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 488 yields: % 59.32/24.57 | (247) ~ (all_0_53_53 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 178 to: % 59.32/24.57 | (490) ~ (all_0_58_58 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 490 yields: % 59.32/24.57 | (491) ~ (all_0_58_58 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 2 to: % 59.32/24.57 | (541) ~ (e3 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 541 yields: % 59.32/24.57 | (80) ~ (e3 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 296 to: % 59.32/24.57 | (365) ~ (e2 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 365 yields: % 59.32/24.57 | (128) ~ (e2 = e0) % 59.32/24.57 | % 59.32/24.57 | Equations (485) can reduce 132 to: % 59.32/24.57 | (435) ~ (e1 = e0) % 59.32/24.57 | % 59.32/24.57 | Simplifying 435 yields: % 59.32/24.57 | (233) ~ (e1 = e0) % 59.32/24.57 | % 59.32/24.57 | From (485) and (34) follows: % 59.32/24.57 | (494) op(e0, e4) = all_0_4_4 % 59.32/24.57 | % 59.32/24.57 | From (485) and (203) follows: % 59.32/24.57 | (495) op(e0, e0) = all_0_5_5 % 59.32/24.57 | % 59.32/24.57 | From (485) and (234) follows: % 59.32/24.57 | (3072) op(e4, e0) = e0 % 59.32/24.57 | % 59.32/24.57 +-Applying beta-rule and splitting (170), into two cases. % 59.32/24.57 |-Branch one: % 59.32/24.57 | (321) all_0_38_38 = e4 % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 106 to: % 59.32/24.57 | (33039) ~ (all_0_41_41 = e4) % 59.32/24.57 | % 59.32/24.57 | Simplifying 33039 yields: % 59.32/24.57 | (440) ~ (all_0_41_41 = e4) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 141 to: % 59.32/24.57 | (249) ~ (all_0_46_46 = e4) % 59.32/24.57 | % 59.32/24.57 | Simplifying 249 yields: % 59.32/24.57 | (250) ~ (all_0_46_46 = e4) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 193 to: % 59.32/24.57 | (1907) ~ (all_0_50_50 = e4) % 59.32/24.57 | % 59.32/24.57 | Simplifying 1907 yields: % 59.32/24.57 | (566) ~ (all_0_50_50 = e4) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 25 to: % 59.32/24.57 | (1909) ~ (all_0_55_55 = e4) % 59.32/24.57 | % 59.32/24.57 | Simplifying 1909 yields: % 59.32/24.57 | (763) ~ (all_0_55_55 = e4) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 116 to: % 59.32/24.57 | (188) ~ (e4 = e3) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 9600 to: % 59.32/24.57 | (48) ~ (e4 = e2) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 50 to: % 59.32/24.57 | (110) ~ (e4 = e1) % 59.32/24.57 | % 59.32/24.57 | Equations (321) can reduce 332 to: % 59.32/24.57 | (49) ~ (e4 = e0) % 59.32/24.57 | % 59.32/24.57 | From (321) and (71) follows: % 59.32/24.57 | (33051) op(e4, e4) = all_0_0_0 % 59.32/24.57 | % 59.32/24.57 | From (321) and (156) follows: % 59.32/24.57 | (33052) op(e4, e3) = all_0_1_1 % 59.32/24.57 | % 59.32/24.57 | From (321) and (52) follows: % 59.32/24.57 | (22570) op(e4, e3) = e4 % 59.32/24.57 | % 59.32/24.57 | Instantiating formula (29) with e4, e4, all_0_0_0, e1 and discharging atoms op(e4, e4) = all_0_0_0, op(e4, e4) = e1, yields: % 59.32/24.58 | (33054) all_0_0_0 = e1 % 59.32/24.58 | % 59.32/24.58 | Instantiating formula (29) with e4, e3, e4, all_0_1_1 and discharging atoms op(e4, e3) = all_0_1_1, op(e4, e3) = e4, yields: % 59.32/24.58 | (9598) all_0_1_1 = e4 % 59.32/24.58 | % 59.32/24.58 | Instantiating formula (29) with e0, e4, all_0_4_4, e3 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e3, yields: % 59.32/24.58 | (498) all_0_4_4 = e3 % 59.32/24.58 | % 59.32/24.58 | Instantiating formula (29) with e0, e0, all_0_5_5, all_0_58_58 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = all_0_58_58, yields: % 59.32/24.58 | (499) all_0_5_5 = all_0_58_58 % 59.32/24.58 | % 59.32/24.58 | From (33054) and (33051) follows: % 59.32/24.58 | (41) op(e4, e4) = e1 % 59.32/24.58 | % 59.32/24.58 | From (9598) and (33052) follows: % 59.32/24.58 | (22570) op(e4, e3) = e4 % 59.32/24.58 | % 59.32/24.58 | From (498) and (494) follows: % 59.32/24.58 | (283) op(e0, e4) = e3 % 59.32/24.58 | % 59.32/24.58 | From (499) and (495) follows: % 59.32/24.58 | (245) op(e0, e0) = all_0_58_58 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (109), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (352) all_0_52_52 = e2 % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 217 to: % 59.32/24.58 | (96) ~ (all_0_43_43 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 202 to: % 59.32/24.58 | (810) ~ (all_0_48_48 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 101 to: % 59.32/24.58 | (302) ~ (all_0_50_50 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 20 to: % 59.32/24.58 | (1099) ~ (all_0_51_51 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 46 to: % 59.32/24.58 | (508) ~ (all_0_53_53 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 508 yields: % 59.32/24.58 | (509) ~ (all_0_53_53 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 72 to: % 59.32/24.58 | (128) ~ (e2 = e0) % 59.32/24.58 | % 59.32/24.58 | From (352) and (124) follows: % 59.32/24.58 | (10182) op(e1, e1) = e2 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (222), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (386) all_0_55_55 = e2 % 59.32/24.58 | % 59.32/24.58 | Equations (386) can reduce 191 to: % 59.32/24.58 | (85) ~ (all_0_41_41 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (386) can reduce 58 to: % 59.32/24.58 | (300) ~ (all_0_46_46 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (386) can reduce 93 to: % 59.32/24.58 | (302) ~ (all_0_50_50 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (386) can reduce 153 to: % 59.32/24.58 | (510) ~ (all_0_56_56 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 510 yields: % 59.32/24.58 | (511) ~ (all_0_56_56 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (386) can reduce 81 to: % 59.32/24.58 | (343) ~ (all_0_57_57 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 343 yields: % 59.32/24.58 | (344) ~ (all_0_57_57 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (386) can reduce 270 to: % 59.32/24.58 | (626) ~ (e3 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 626 yields: % 59.32/24.58 | (212) ~ (e3 = e2) % 59.32/24.58 | % 59.32/24.58 | From (386) and (74) follows: % 59.32/24.58 | (24443) op(e0, e3) = e2 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (158), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (313) all_0_40_40 = e2 % 59.32/24.58 | % 59.32/24.58 | Combining equations (485,313) yields a new equation: % 59.32/24.58 | (330) e2 = e0 % 59.32/24.58 | % 59.32/24.58 | Equations (330) can reduce 128 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (296) ~ (all_0_40_40 = e2) % 59.32/24.58 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (53), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (1794) all_0_46_46 = e2 % 59.32/24.58 | % 59.32/24.58 | Equations (1794) can reduce 300 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (300) ~ (all_0_46_46 = e2) % 59.32/24.58 | (10171) all_0_47_47 = e2 | all_0_48_48 = e2 | all_0_49_49 = e2 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (377), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (583) all_0_49_49 = e2 % 59.32/24.58 | % 59.32/24.58 | Equations (583) can reduce 9 to: % 59.32/24.58 | (147) ~ (all_0_44_44 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (583) can reduce 185 to: % 59.32/24.58 | (810) ~ (all_0_48_48 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (583) can reduce 65 to: % 59.32/24.58 | (508) ~ (all_0_53_53 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 508 yields: % 59.32/24.58 | (509) ~ (all_0_53_53 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (583) can reduce 119 to: % 59.32/24.58 | (1186) ~ (all_0_58_58 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 1186 yields: % 59.32/24.58 | (908) ~ (all_0_58_58 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (583) can reduce 256 to: % 59.32/24.58 | (327) ~ (e4 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 327 yields: % 59.32/24.58 | (48) ~ (e4 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (583) can reduce 487 to: % 59.32/24.58 | (128) ~ (e2 = e0) % 59.32/24.58 | % 59.32/24.58 | From (583) and (55) follows: % 59.32/24.58 | (727) op(e2, e0) = e2 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (163), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (565) all_0_52_52 = e4 % 59.32/24.58 | % 59.32/24.58 | Combining equations (352,565) yields a new equation: % 59.32/24.58 | (323) e4 = e2 % 59.32/24.58 | % 59.32/24.58 | Equations (323) can reduce 48 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (780) ~ (all_0_52_52 = e4) % 59.32/24.58 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.32/24.58 | % 59.32/24.58 | Equations (352) can reduce 780 to: % 59.32/24.58 | (327) ~ (e4 = e2) % 59.32/24.58 | % 59.32/24.58 | Simplifying 327 yields: % 59.32/24.58 | (48) ~ (e4 = e2) % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (781), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (789), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (790), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (791), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (792), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.32/24.58 | % 59.32/24.58 | Applying alpha-rule on (793) yields: % 59.32/24.58 | (794) all_0_41_41 = e0 % 59.32/24.58 | (795) all_0_58_58 = e3 % 59.32/24.58 | (407) ~ (all_0_44_44 = e3) % 59.32/24.58 | % 59.32/24.58 | Equations (795) can reduce 276 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.32/24.58 | % 59.32/24.58 | Applying alpha-rule on (800) yields: % 59.32/24.58 | (794) all_0_41_41 = e0 % 59.32/24.58 | (795) all_0_58_58 = e3 % 59.32/24.58 | (803) ~ (all_0_55_55 = e0) % 59.32/24.58 | % 59.32/24.58 | Equations (795) can reduce 276 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.32/24.58 | % 59.32/24.58 | Applying alpha-rule on (807) yields: % 59.32/24.58 | (654) all_0_47_47 = e1 % 59.32/24.58 | (352) all_0_52_52 = e2 % 59.32/24.58 | (810) ~ (all_0_48_48 = e2) % 59.32/24.58 | % 59.32/24.58 | Equations (654) can reduce 198 to: % 59.32/24.58 | (1380) ~ (all_0_42_42 = e1) % 59.32/24.58 | % 59.32/24.58 | Equations (654) can reduce 91 to: % 59.32/24.58 | (465) ~ (all_0_56_56 = e1) % 59.32/24.58 | % 59.32/24.58 | Simplifying 465 yields: % 59.32/24.58 | (466) ~ (all_0_56_56 = e1) % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (78), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (423) all_0_45_45 = e3 % 59.32/24.58 | % 59.32/24.58 | Combining equations (423,248) yields a new equation: % 59.32/24.58 | (425) e4 = e3 % 59.32/24.58 | % 59.32/24.58 | Equations (425) can reduce 188 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (427) ~ (all_0_45_45 = e3) % 59.32/24.58 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (428), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (1557) all_0_46_46 = e3 % 59.32/24.58 | % 59.32/24.58 | Equations (1557) can reduce 30 to: % 59.32/24.58 | (23024) ~ (all_0_48_48 = e3) % 59.32/24.58 | % 59.32/24.58 | Simplifying 23024 yields: % 59.32/24.58 | (215) ~ (all_0_48_48 = e3) % 59.32/24.58 | % 59.32/24.58 | Equations (1557) can reduce 35 to: % 59.32/24.58 | (410) ~ (all_0_50_50 = e3) % 59.32/24.58 | % 59.32/24.58 | Simplifying 410 yields: % 59.32/24.58 | (411) ~ (all_0_50_50 = e3) % 59.32/24.58 | % 59.32/24.58 | From (1557) and (120) follows: % 59.32/24.58 | (697) op(e2, e3) = e3 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (241), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (378) all_0_50_50 = e2 % 59.32/24.58 | % 59.32/24.58 | Equations (378) can reduce 302 to: % 59.32/24.58 | (266) $false % 59.32/24.58 | % 59.32/24.58 |-The branch is then unsatisfiable % 59.32/24.58 |-Branch two: % 59.32/24.58 | (302) ~ (all_0_50_50 = e2) % 59.32/24.58 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 59.32/24.58 | % 59.32/24.58 +-Applying beta-rule and splitting (184), into two cases. % 59.32/24.58 |-Branch one: % 59.32/24.58 | (538) all_0_46_46 = e0 % 59.32/24.58 | % 59.32/24.58 | Combining equations (1557,538) yields a new equation: % 59.32/24.58 | (675) e3 = e0 % 59.32/24.58 | % 59.32/24.59 | Simplifying 675 yields: % 59.32/24.59 | (676) e3 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (676) can reduce 80 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (831) ~ (all_0_46_46 = e0) % 59.32/24.59 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (832), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (674) all_0_47_47 = e0 % 59.32/24.59 | % 59.32/24.59 | Combining equations (654,674) yields a new equation: % 59.32/24.59 | (546) e1 = e0 % 59.32/24.59 | % 59.32/24.59 | Simplifying 546 yields: % 59.32/24.59 | (431) e1 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (431) can reduce 233 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (678) ~ (all_0_47_47 = e0) % 59.32/24.59 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (1278), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (1279) all_0_48_48 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (1279) can reduce 239 to: % 59.32/24.59 | (363) ~ (all_0_57_57 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 363 yields: % 59.32/24.59 | (364) ~ (all_0_57_57 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (1279) can reduce 254 to: % 59.32/24.59 | (401) ~ (e4 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 401 yields: % 59.32/24.59 | (49) ~ (e4 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (1279) can reduce 215 to: % 59.32/24.59 | (541) ~ (e3 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 541 yields: % 59.32/24.59 | (80) ~ (e3 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (1279) can reduce 810 to: % 59.32/24.59 | (365) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 365 yields: % 59.32/24.59 | (128) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 | From (1279) and (192) follows: % 59.32/24.59 | (14938) op(e2, e1) = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (243), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (329) all_0_38_38 = e0 % 59.32/24.59 | % 59.32/24.59 | Combining equations (329,321) yields a new equation: % 59.32/24.59 | (397) e4 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (397) can reduce 49 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (332) ~ (all_0_38_38 = e0) % 59.32/24.59 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (395), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (794) all_0_41_41 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (794) can reduce 31 to: % 59.32/24.59 | (33173) ~ (all_0_43_43 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 33173 yields: % 59.32/24.59 | (5470) ~ (all_0_43_43 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (794) can reduce 149 to: % 59.32/24.59 | (359) ~ (all_0_44_44 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 359 yields: % 59.32/24.59 | (360) ~ (all_0_44_44 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (794) can reduce 440 to: % 59.32/24.59 | (401) ~ (e4 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 401 yields: % 59.32/24.59 | (49) ~ (e4 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (794) can reduce 85 to: % 59.32/24.59 | (365) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 365 yields: % 59.32/24.59 | (128) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 | From (794) and (219) follows: % 59.32/24.59 | (5573) op(e3, e3) = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (104), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (480) all_0_39_39 = e0 % 59.32/24.59 | % 59.32/24.59 | Combining equations (480,317) yields a new equation: % 59.32/24.59 | (330) e2 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (330) can reduce 128 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (484) ~ (all_0_39_39 = e0) % 59.32/24.59 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (317) can reduce 484 to: % 59.32/24.59 | (128) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (125), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (858) all_0_55_55 = e0 % 59.32/24.59 | % 59.32/24.59 | Combining equations (386,858) yields a new equation: % 59.32/24.59 | (391) e2 = e0 % 59.32/24.59 | % 59.32/24.59 | Simplifying 391 yields: % 59.32/24.59 | (330) e2 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (330) can reduce 128 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (803) ~ (all_0_55_55 = e0) % 59.32/24.59 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (422), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (775) all_0_50_50 = e4 % 59.32/24.59 | % 59.32/24.59 | Equations (775) can reduce 566 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (566) ~ (all_0_50_50 = e4) % 59.32/24.59 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (1444), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (601) all_0_50_50 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (601) can reduce 59 to: % 59.32/24.59 | (463) ~ (all_0_51_51 = e1) % 59.32/24.59 | % 59.32/24.59 | Simplifying 463 yields: % 59.32/24.59 | (464) ~ (all_0_51_51 = e1) % 59.32/24.59 | % 59.32/24.59 | Equations (601) can reduce 190 to: % 59.32/24.59 | (1458) ~ (all_0_53_53 = e1) % 59.32/24.59 | % 59.32/24.59 | Simplifying 1458 yields: % 59.32/24.59 | (1459) ~ (all_0_53_53 = e1) % 59.32/24.59 | % 59.32/24.59 | Equations (601) can reduce 566 to: % 59.32/24.59 | (602) ~ (e4 = e1) % 59.32/24.59 | % 59.32/24.59 | Simplifying 602 yields: % 59.32/24.59 | (110) ~ (e4 = e1) % 59.32/24.59 | % 59.32/24.59 | Equations (601) can reduce 302 to: % 59.32/24.59 | (604) ~ (e2 = e1) % 59.32/24.59 | % 59.32/24.59 | Simplifying 604 yields: % 59.32/24.59 | (122) ~ (e2 = e1) % 59.32/24.59 | % 59.32/24.59 | From (601) and (242) follows: % 59.32/24.59 | (2235) op(e1, e3) = e1 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (863), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (679) all_0_56_56 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 236 to: % 59.32/24.59 | (358) ~ (all_0_42_42 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 16 to: % 59.32/24.59 | (115) ~ (all_0_51_51 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 140 to: % 59.32/24.59 | (363) ~ (all_0_57_57 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 363 yields: % 59.32/24.59 | (364) ~ (all_0_57_57 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 44 to: % 59.32/24.59 | (490) ~ (all_0_58_58 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 490 yields: % 59.32/24.59 | (491) ~ (all_0_58_58 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 272 to: % 59.32/24.59 | (541) ~ (e3 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 541 yields: % 59.32/24.59 | (80) ~ (e3 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 511 to: % 59.32/24.59 | (365) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 365 yields: % 59.32/24.59 | (128) ~ (e2 = e0) % 59.32/24.59 | % 59.32/24.59 | Equations (679) can reduce 466 to: % 59.32/24.59 | (435) ~ (e1 = e0) % 59.32/24.59 | % 59.32/24.59 | Simplifying 435 yields: % 59.32/24.59 | (233) ~ (e1 = e0) % 59.32/24.59 | % 59.32/24.59 | From (679) and (111) follows: % 59.32/24.59 | (1613) op(e0, e2) = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (195), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (396) all_0_43_43 = e4 % 59.32/24.59 | % 59.32/24.59 | Equations (396) can reduce 240 to: % 59.32/24.59 | (1890) ~ (all_0_42_42 = e4) % 59.32/24.59 | % 59.32/24.59 | From (396) and (37) follows: % 59.32/24.59 | (5492) op(e3, e1) = e4 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (130), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (430) all_0_43_43 = e1 % 59.32/24.59 | % 59.32/24.59 | Combining equations (430,396) yields a new equation: % 59.32/24.59 | (630) e4 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (630) can reduce 110 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (433) ~ (all_0_43_43 = e1) % 59.32/24.59 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (152), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (1392) all_0_42_42 = e4 % 59.32/24.59 | % 59.32/24.59 | Equations (1392) can reduce 1890 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (1890) ~ (all_0_42_42 = e4) % 59.32/24.59 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (12), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (442) all_0_57_57 = e2 % 59.32/24.59 | % 59.32/24.59 | Equations (442) can reduce 344 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (344) ~ (all_0_57_57 = e2) % 59.32/24.59 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (434), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (615) all_0_48_48 = e1 % 59.32/24.59 | % 59.32/24.59 | Combining equations (1279,615) yields a new equation: % 59.32/24.59 | (431) e1 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (431) can reduce 233 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (619) ~ (all_0_48_48 = e1) % 59.32/24.59 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (620), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (642) all_0_52_52 = e1 % 59.32/24.59 | % 59.32/24.59 | Combining equations (352,642) yields a new equation: % 59.32/24.59 | (616) e2 = e1 % 59.32/24.59 | % 59.32/24.59 | Simplifying 616 yields: % 59.32/24.59 | (617) e2 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (617) can reduce 122 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (646) ~ (all_0_52_52 = e1) % 59.32/24.59 | (647) all_0_57_57 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (647) can reduce 148 to: % 59.32/24.59 | (879) ~ (all_0_58_58 = e1) % 59.32/24.59 | % 59.32/24.59 | Simplifying 879 yields: % 59.32/24.59 | (880) ~ (all_0_58_58 = e1) % 59.32/24.59 | % 59.32/24.59 | Equations (647) can reduce 344 to: % 59.32/24.59 | (604) ~ (e2 = e1) % 59.32/24.59 | % 59.32/24.59 | Simplifying 604 yields: % 59.32/24.59 | (122) ~ (e2 = e1) % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (1969), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (559) all_0_42_42 = e0 % 59.32/24.59 | % 59.32/24.59 | Equations (559) can reduce 358 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (358) ~ (all_0_42_42 = e0) % 59.32/24.59 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (2510), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (459) all_0_42_42 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (459) can reduce 1380 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (1380) ~ (all_0_42_42 = e1) % 59.32/24.59 | (516) all_0_42_42 = e3 % 59.32/24.59 | % 59.32/24.59 | Equations (516) can reduce 61 to: % 59.32/24.59 | (1925) ~ (all_0_51_51 = e3) % 59.32/24.59 | % 59.32/24.59 | Simplifying 1925 yields: % 59.32/24.59 | (664) ~ (all_0_51_51 = e3) % 59.32/24.59 | % 59.32/24.59 | Equations (516) can reduce 1380 to: % 59.32/24.59 | (213) ~ (e3 = e1) % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (168), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (415) all_0_50_50 = e3 % 59.32/24.59 | % 59.32/24.59 | Combining equations (415,601) yields a new equation: % 59.32/24.59 | (454) e3 = e1 % 59.32/24.59 | % 59.32/24.59 | Simplifying 454 yields: % 59.32/24.59 | (455) e3 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (455) can reduce 213 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (411) ~ (all_0_50_50 = e3) % 59.32/24.59 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (7), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (504) all_0_51_51 = e2 % 59.32/24.59 | % 59.32/24.59 | Equations (504) can reduce 1099 to: % 59.32/24.59 | (266) $false % 59.32/24.59 | % 59.32/24.59 |-The branch is then unsatisfiable % 59.32/24.59 |-Branch two: % 59.32/24.59 | (1099) ~ (all_0_51_51 = e2) % 59.32/24.59 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (112), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (635) all_0_44_44 = e1 % 59.32/24.59 | % 59.32/24.59 | Equations (635) can reduce 360 to: % 59.32/24.59 | (233) ~ (e1 = e0) % 59.32/24.59 | % 59.32/24.59 +-Applying beta-rule and splitting (108), into two cases. % 59.32/24.59 |-Branch one: % 59.32/24.59 | (624) all_0_58_58 = e2 % 59.32/24.59 | % 59.43/24.59 | Equations (624) can reduce 908 to: % 59.43/24.59 | (266) $false % 59.43/24.59 | % 59.43/24.59 |-The branch is then unsatisfiable % 59.43/24.59 |-Branch two: % 59.43/24.59 | (908) ~ (all_0_58_58 = e2) % 59.43/24.59 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.43/24.59 | % 59.43/24.59 +-Applying beta-rule and splitting (1100), into two cases. % 59.43/24.59 |-Branch one: % 59.43/24.59 | (1101) all_0_51_51 = e4 % 59.43/24.59 | % 59.43/24.59 | Equations (1101) can reduce 6 to: % 59.43/24.59 | (1452) ~ (all_0_53_53 = e4) % 59.43/24.59 | % 59.43/24.59 | Simplifying 1452 yields: % 59.43/24.59 | (1453) ~ (all_0_53_53 = e4) % 59.43/24.59 | % 59.43/24.59 | Equations (1101) can reduce 664 to: % 59.43/24.59 | (188) ~ (e4 = e3) % 59.43/24.59 | % 59.43/24.59 | Equations (1101) can reduce 1099 to: % 59.43/24.59 | (48) ~ (e4 = e2) % 59.43/24.59 | % 59.43/24.59 | Equations (1101) can reduce 464 to: % 59.43/24.59 | (110) ~ (e4 = e1) % 59.43/24.59 | % 59.43/24.59 | Equations (1101) can reduce 115 to: % 59.43/24.59 | (49) ~ (e4 = e0) % 59.43/24.59 | % 59.43/24.59 | From (1101) and (186) follows: % 59.43/24.59 | (13720) op(e1, e2) = e4 % 59.43/24.59 | % 59.43/24.59 +-Applying beta-rule and splitting (150), into two cases. % 59.43/24.59 |-Branch one: % 59.43/24.59 | (1378) all_0_40_40 = e4 % 59.43/24.59 | % 59.43/24.59 | Combining equations (1378,485) yields a new equation: % 59.43/24.59 | (481) e4 = e0 % 59.43/24.59 | % 59.43/24.59 | Simplifying 481 yields: % 59.43/24.59 | (397) e4 = e0 % 59.43/24.59 | % 59.43/24.59 | Equations (397) can reduce 49 to: % 59.43/24.59 | (266) $false % 59.43/24.59 | % 59.43/24.59 |-The branch is then unsatisfiable % 59.43/24.59 |-Branch two: % 59.43/24.59 | (447) ~ (all_0_40_40 = e4) % 59.43/24.59 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.43/24.59 | % 59.43/24.59 | Equations (485) can reduce 447 to: % 59.43/24.59 | (401) ~ (e4 = e0) % 59.43/24.59 | % 59.43/24.59 | Simplifying 401 yields: % 59.43/24.59 | (49) ~ (e4 = e0) % 59.43/24.59 | % 59.43/24.59 +-Applying beta-rule and splitting (418), into two cases. % 59.43/24.59 |-Branch one: % 59.43/24.59 | (660) all_0_51_51 = e3 % 59.43/24.59 | % 59.43/24.59 | Combining equations (660,1101) yields a new equation: % 59.43/24.59 | (425) e4 = e3 % 59.43/24.59 | % 59.43/24.59 | Equations (425) can reduce 188 to: % 59.43/24.59 | (266) $false % 59.43/24.59 | % 59.43/24.59 |-The branch is then unsatisfiable % 59.43/24.59 |-Branch two: % 59.43/24.59 | (664) ~ (all_0_51_51 = e3) % 59.43/24.59 | (665) all_0_53_53 = e3 % 59.43/24.59 | % 59.43/24.59 | Equations (665) can reduce 1453 to: % 59.43/24.60 | (277) ~ (e4 = e3) % 59.43/24.60 | % 59.43/24.60 | Simplifying 277 yields: % 59.43/24.60 | (188) ~ (e4 = e3) % 59.43/24.60 | % 59.43/24.60 | From (665) and (84) follows: % 59.43/24.60 | (3786) op(e1, e0) = e3 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (171), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (265) all_0_54_54 = e4 % 59.43/24.60 | % 59.43/24.60 | Combining equations (268,265) yields a new equation: % 59.43/24.60 | (425) e4 = e3 % 59.43/24.60 | % 59.43/24.60 | Equations (425) can reduce 188 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (258) ~ (all_0_54_54 = e4) % 59.43/24.60 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (909), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (910) all_0_58_58 = e4 % 59.43/24.60 | % 59.43/24.60 | From (910) and (245) follows: % 59.43/24.60 | (2661) op(e0, e0) = e4 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (56), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (696) unit = e2 % 59.43/24.60 | % 59.43/24.60 | From (696) and (209) follows: % 59.43/24.60 | (7585) op(e2, e0) = e0 % 59.43/24.60 | % 59.43/24.60 | From (696) and (227) follows: % 59.43/24.60 | (4284) op(e4, e2) = e4 % 59.43/24.60 | % 59.43/24.60 | From (696) and (28) follows: % 59.43/24.60 | (699) op(e1, e2) = e1 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.43/24.60 | (323) e4 = e2 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.43/24.60 | (330) e2 = e0 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.43/24.60 | (630) e4 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (323,630) yields a new equation: % 59.43/24.60 | (616) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Simplifying 616 yields: % 59.43/24.60 | (617) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (330,617) yields a new equation: % 59.43/24.60 | (431) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (431) can reduce 233 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (707) ~ (unit = e2) % 59.43/24.60 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (708), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (709) unit = e4 % 59.43/24.60 | % 59.43/24.60 | From (709) and (24) follows: % 59.43/24.60 | (33325) op(e4, e3) = e3 % 59.43/24.60 | % 59.43/24.60 | From (709) and (227) follows: % 59.43/24.60 | (710) op(e4, e4) = e4 % 59.43/24.60 | % 59.43/24.60 | From (709) and (42) follows: % 59.43/24.60 | (713) op(e0, e4) = e0 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.43/24.60 | (630) e4 = e1 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.43/24.60 | (425) e4 = e3 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.43/24.60 | (676) e3 = e0 % 59.43/24.60 | % 59.43/24.60 | Combining equations (630,425) yields a new equation: % 59.43/24.60 | (455) e3 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (455,676) yields a new equation: % 59.43/24.60 | (546) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 546 yields: % 59.43/24.60 | (431) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (431) can reduce 233 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (724) ~ (unit = e4) % 59.43/24.60 | (725) unit = e3 | unit = e1 | unit = e0 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (725), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (726) unit = e0 % 59.43/24.60 | % 59.43/24.60 | From (726) and (244) follows: % 59.43/24.60 | (2207) op(e0, e4) = e4 % 59.43/24.60 | % 59.43/24.60 | From (726) and (24) follows: % 59.43/24.60 | (2208) op(e0, e3) = e3 % 59.43/24.60 | % 59.43/24.60 | From (726) and (28) follows: % 59.43/24.60 | (2698) op(e1, e0) = e1 % 59.43/24.60 | % 59.43/24.60 | From (726) and (42) follows: % 59.43/24.60 | (728) op(e0, e0) = e0 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 59.43/24.60 | (455) e3 = e1 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.43/24.60 | (425) e4 = e3 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.43/24.60 | (662) e3 = e2 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 59.43/24.60 | (397) e4 = e0 % 59.43/24.60 | % 59.43/24.60 | Combining equations (425,397) yields a new equation: % 59.43/24.60 | (675) e3 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 675 yields: % 59.43/24.60 | (676) e3 = e0 % 59.43/24.60 | % 59.43/24.60 | Combining equations (676,662) yields a new equation: % 59.43/24.60 | (330) e2 = e0 % 59.43/24.60 | % 59.43/24.60 | Combining equations (455,662) yields a new equation: % 59.43/24.60 | (617) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (617,330) yields a new equation: % 59.43/24.60 | (546) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 546 yields: % 59.43/24.60 | (431) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (431) can reduce 233 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (734) ~ (unit = e0) % 59.43/24.60 | (735) unit = e3 | unit = e1 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (735), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (736) unit = e1 % 59.43/24.60 | % 59.43/24.60 | Equations (736) can reduce 734 to: % 59.43/24.60 | (233) ~ (e1 = e0) % 59.43/24.60 | % 59.43/24.60 | From (736) and (244) follows: % 59.43/24.60 | (738) op(e1, e4) = e4 % 59.43/24.60 | % 59.43/24.60 | From (736) and (15) follows: % 59.43/24.60 | (515) op(e1, e2) = e2 % 59.43/24.60 | % 59.43/24.60 | From (736) and (28) follows: % 59.43/24.60 | (740) op(e1, e1) = e1 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 59.43/24.60 | (397) e4 = e0 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.43/24.60 | (323) e4 = e2 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.43/24.60 | (617) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (323,397) yields a new equation: % 59.43/24.60 | (391) e2 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 391 yields: % 59.43/24.60 | (330) e2 = e0 % 59.43/24.60 | % 59.43/24.60 | Combining equations (330,617) yields a new equation: % 59.43/24.60 | (431) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (431) can reduce 233 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (748) ~ (unit = e1) % 59.43/24.60 | (749) unit = e3 % 59.43/24.60 | % 59.43/24.60 | From (749) and (244) follows: % 59.43/24.60 | (750) op(e3, e4) = e4 % 59.43/24.60 | % 59.43/24.60 | From (749) and (211) follows: % 59.43/24.60 | (13877) op(e3, e1) = e1 % 59.43/24.60 | % 59.43/24.60 | From (749) and (40) follows: % 59.43/24.60 | (3715) op(e3, e3) = e3 % 59.43/24.60 | % 59.43/24.60 | From (749) and (32) follows: % 59.43/24.60 | (5793) op(e2, e3) = e2 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.43/24.60 | (323) e4 = e2 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.43/24.60 | (676) e3 = e0 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 59.43/24.60 | (630) e4 = e1 % 59.43/24.60 | % 59.43/24.60 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.43/24.60 | (662) e3 = e2 % 59.43/24.60 | % 59.43/24.60 | Combining equations (630,323) yields a new equation: % 59.43/24.60 | (617) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (662,676) yields a new equation: % 59.43/24.60 | (391) e2 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 391 yields: % 59.43/24.60 | (330) e2 = e0 % 59.43/24.60 | % 59.43/24.60 | Combining equations (617,330) yields a new equation: % 59.43/24.60 | (546) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 546 yields: % 59.43/24.60 | (431) e1 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (431) can reduce 233 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (451) ~ (all_0_58_58 = e4) % 59.43/24.60 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (575), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (587) all_0_55_55 = e4 % 59.43/24.60 | % 59.43/24.60 | Combining equations (587,386) yields a new equation: % 59.43/24.60 | (322) e4 = e2 % 59.43/24.60 | % 59.43/24.60 | Simplifying 322 yields: % 59.43/24.60 | (323) e4 = e2 % 59.43/24.60 | % 59.43/24.60 | Equations (323) can reduce 48 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (763) ~ (all_0_55_55 = e4) % 59.43/24.60 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (764), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (842) all_0_56_56 = e4 % 59.43/24.60 | % 59.43/24.60 | Combining equations (679,842) yields a new equation: % 59.43/24.60 | (397) e4 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (397) can reduce 49 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (477) ~ (all_0_56_56 = e4) % 59.43/24.60 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (935), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (871) all_0_57_57 = e4 % 59.43/24.60 | % 59.43/24.60 | Combining equations (871,647) yields a new equation: % 59.43/24.60 | (636) e4 = e1 % 59.43/24.60 | % 59.43/24.60 | Simplifying 636 yields: % 59.43/24.60 | (630) e4 = e1 % 59.43/24.60 | % 59.43/24.60 | Equations (630) can reduce 110 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (839) ~ (all_0_57_57 = e4) % 59.43/24.60 | (910) all_0_58_58 = e4 % 59.43/24.60 | % 59.43/24.60 | Equations (910) can reduce 451 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (475) ~ (all_0_51_51 = e4) % 59.43/24.60 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (1104), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (1109) all_0_51_51 = e1 % 59.43/24.60 | % 59.43/24.60 | Equations (1109) can reduce 464 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (464) ~ (all_0_51_51 = e1) % 59.43/24.60 | (660) all_0_51_51 = e3 % 59.43/24.60 | % 59.43/24.60 | Equations (660) can reduce 664 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (639) ~ (all_0_44_44 = e1) % 59.43/24.60 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (640), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (671) all_0_49_49 = e1 % 59.43/24.60 | % 59.43/24.60 | Combining equations (583,671) yields a new equation: % 59.43/24.60 | (616) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Simplifying 616 yields: % 59.43/24.60 | (617) e2 = e1 % 59.43/24.60 | % 59.43/24.60 | Equations (617) can reduce 122 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (1064) ~ (all_0_49_49 = e1) % 59.43/24.60 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (2141), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (1208) all_0_53_53 = e1 % 59.43/24.60 | % 59.43/24.60 | Equations (1208) can reduce 1459 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (1459) ~ (all_0_53_53 = e1) % 59.43/24.60 | (918) all_0_58_58 = e1 % 59.43/24.60 | % 59.43/24.60 | Equations (918) can reduce 880 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (399) ~ (all_0_43_43 = e4) % 59.43/24.60 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (230), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (396) all_0_43_43 = e4 % 59.43/24.60 | % 59.43/24.60 | Equations (396) can reduce 399 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (399) ~ (all_0_43_43 = e4) % 59.43/24.60 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (400), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (943) all_0_48_48 = e4 % 59.43/24.60 | % 59.43/24.60 | Combining equations (943,1279) yields a new equation: % 59.43/24.60 | (481) e4 = e0 % 59.43/24.60 | % 59.43/24.60 | Simplifying 481 yields: % 59.43/24.60 | (397) e4 = e0 % 59.43/24.60 | % 59.43/24.60 | Equations (397) can reduce 49 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (254) ~ (all_0_48_48 = e4) % 59.43/24.60 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.43/24.60 | % 59.43/24.60 +-Applying beta-rule and splitting (947), into two cases. % 59.43/24.60 |-Branch one: % 59.43/24.60 | (565) all_0_52_52 = e4 % 59.43/24.60 | % 59.43/24.60 | Combining equations (352,565) yields a new equation: % 59.43/24.60 | (323) e4 = e2 % 59.43/24.60 | % 59.43/24.60 | Equations (323) can reduce 48 to: % 59.43/24.60 | (266) $false % 59.43/24.60 | % 59.43/24.60 |-The branch is then unsatisfiable % 59.43/24.60 |-Branch two: % 59.43/24.60 | (780) ~ (all_0_52_52 = e4) % 59.43/24.60 | (871) all_0_57_57 = e4 % 59.43/24.60 | % 59.43/24.60 | Equations (871) can reduce 199 to: % 59.43/24.60 | (399) ~ (all_0_43_43 = e4) % 59.43/24.60 | % 59.43/24.60 | Equations (871) can reduce 148 to: % 59.43/24.60 | (450) ~ (all_0_58_58 = e4) % 59.43/24.60 | % 59.43/24.60 | Simplifying 450 yields: % 59.43/24.60 | (451) ~ (all_0_58_58 = e4) % 59.43/24.60 | % 59.43/24.60 | Equations (871) can reduce 67 to: % 59.43/24.60 | (188) ~ (e4 = e3) % 59.43/24.60 | % 59.43/24.60 | Equations (871) can reduce 344 to: % 59.43/24.60 | (48) ~ (e4 = e2) % 59.43/24.60 | % 59.43/24.60 | Equations (871) can reduce 364 to: % 59.43/24.61 | (49) ~ (e4 = e0) % 59.43/24.61 | % 59.43/24.61 | From (871) and (83) follows: % 59.43/24.61 | (3109) op(e0, e1) = e4 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (216), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (629) all_0_55_55 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (629,386) yields a new equation: % 59.43/24.61 | (617) e2 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (617) can reduce 122 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (632) ~ (all_0_55_55 = e1) % 59.43/24.61 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (633), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (1569) all_0_56_56 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (1569,679) yields a new equation: % 59.43/24.61 | (546) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Simplifying 546 yields: % 59.43/24.61 | (431) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (431) can reduce 233 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (466) ~ (all_0_56_56 = e1) % 59.43/24.61 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (130), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (430) all_0_43_43 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (430) can reduce 240 to: % 59.43/24.61 | (1380) ~ (all_0_42_42 = e1) % 59.43/24.61 | % 59.43/24.61 | Equations (430) can reduce 399 to: % 59.43/24.61 | (602) ~ (e4 = e1) % 59.43/24.61 | % 59.43/24.61 | Simplifying 602 yields: % 59.43/24.61 | (110) ~ (e4 = e1) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (1574), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (647) all_0_57_57 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (647,871) yields a new equation: % 59.43/24.61 | (630) e4 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (630) can reduce 110 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (1670) ~ (all_0_57_57 = e1) % 59.43/24.61 | (918) all_0_58_58 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (918) can reduce 10 to: % 59.43/24.61 | (1459) ~ (all_0_53_53 = e1) % 59.43/24.61 | % 59.43/24.61 | Equations (918) can reduce 451 to: % 59.43/24.61 | (602) ~ (e4 = e1) % 59.43/24.61 | % 59.43/24.61 | Simplifying 602 yields: % 59.43/24.61 | (110) ~ (e4 = e1) % 59.43/24.61 | % 59.43/24.61 | Equations (918) can reduce 276 to: % 59.43/24.61 | (467) ~ (e3 = e1) % 59.43/24.61 | % 59.43/24.61 | Simplifying 467 yields: % 59.43/24.61 | (213) ~ (e3 = e1) % 59.43/24.61 | % 59.43/24.61 | Equations (918) can reduce 491 to: % 59.43/24.61 | (233) ~ (e1 = e0) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (168), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (415) all_0_50_50 = e3 % 59.43/24.61 | % 59.43/24.61 | Combining equations (601,415) yields a new equation: % 59.43/24.61 | (455) e3 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (455) can reduce 213 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (411) ~ (all_0_50_50 = e3) % 59.43/24.61 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (113), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (403) all_0_41_41 = e3 % 59.43/24.61 | % 59.43/24.61 | Combining equations (794,403) yields a new equation: % 59.43/24.61 | (676) e3 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (676) can reduce 80 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (1898) ~ (all_0_41_41 = e3) % 59.43/24.61 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (196), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (607) all_0_53_53 = e2 % 59.43/24.61 | % 59.43/24.61 | Equations (607) can reduce 509 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (509) ~ (all_0_53_53 = e2) % 59.43/24.61 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (64), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (437) all_0_41_41 = e4 % 59.43/24.61 | % 59.43/24.61 | Combining equations (794,437) yields a new equation: % 59.43/24.61 | (397) e4 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (397) can reduce 49 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (440) ~ (all_0_41_41 = e4) % 59.43/24.61 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.43/24.61 | % 59.43/24.61 | Equations (794) can reduce 440 to: % 59.43/24.61 | (401) ~ (e4 = e0) % 59.43/24.61 | % 59.43/24.61 | Simplifying 401 yields: % 59.43/24.61 | (49) ~ (e4 = e0) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (231), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (775) all_0_50_50 = e4 % 59.43/24.61 | % 59.43/24.61 | Combining equations (601,775) yields a new equation: % 59.43/24.61 | (630) e4 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (630) can reduce 110 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (566) ~ (all_0_50_50 = e4) % 59.43/24.61 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.43/24.61 | % 59.43/24.61 | Equations (601) can reduce 566 to: % 59.43/24.61 | (602) ~ (e4 = e1) % 59.43/24.61 | % 59.43/24.61 | Simplifying 602 yields: % 59.43/24.61 | (110) ~ (e4 = e1) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (180), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (516) all_0_42_42 = e3 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (26), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (446) all_0_44_44 = e4 % 59.43/24.61 | % 59.43/24.61 | Equations (446) can reduce 220 to: % 59.43/24.61 | (1452) ~ (all_0_53_53 = e4) % 59.43/24.61 | % 59.43/24.61 | Simplifying 1452 yields: % 59.43/24.61 | (1453) ~ (all_0_53_53 = e4) % 59.43/24.61 | % 59.43/24.61 | Equations (446) can reduce 147 to: % 59.43/24.61 | (48) ~ (e4 = e2) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (610), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (1298) all_0_53_53 = e4 % 59.43/24.61 | % 59.43/24.61 | Equations (1298) can reduce 1453 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (1453) ~ (all_0_53_53 = e4) % 59.43/24.61 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (164), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (471) all_0_39_39 = e4 % 59.43/24.61 | % 59.43/24.61 | Combining equations (471,317) yields a new equation: % 59.43/24.61 | (322) e4 = e2 % 59.43/24.61 | % 59.43/24.61 | Simplifying 322 yields: % 59.43/24.61 | (323) e4 = e2 % 59.43/24.61 | % 59.43/24.61 | Equations (323) can reduce 48 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (1377) ~ (all_0_39_39 = e4) % 59.43/24.61 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.43/24.61 | % 59.43/24.61 | Equations (317) can reduce 1377 to: % 59.43/24.61 | (327) ~ (e4 = e2) % 59.43/24.61 | % 59.43/24.61 | Simplifying 327 yields: % 59.43/24.61 | (48) ~ (e4 = e2) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (1694), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (1208) all_0_53_53 = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (1208) can reduce 1459 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (1459) ~ (all_0_53_53 = e1) % 59.43/24.61 | (665) all_0_53_53 = e3 % 59.43/24.61 | % 59.43/24.61 | Equations (665) can reduce 1453 to: % 59.43/24.61 | (277) ~ (e4 = e3) % 59.43/24.61 | % 59.43/24.61 | Simplifying 277 yields: % 59.43/24.61 | (188) ~ (e4 = e3) % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (1071), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (1101) all_0_51_51 = e4 % 59.43/24.61 | % 59.43/24.61 | From (1101) and (186) follows: % 59.43/24.61 | (13720) op(e1, e2) = e4 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (56), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (696) unit = e2 % 59.43/24.61 | % 59.43/24.61 | From (696) and (209) follows: % 59.43/24.61 | (7585) op(e2, e0) = e0 % 59.43/24.61 | % 59.43/24.61 | From (696) and (227) follows: % 59.43/24.61 | (4284) op(e4, e2) = e4 % 59.43/24.61 | % 59.43/24.61 | From (696) and (28) follows: % 59.43/24.61 | (699) op(e1, e2) = e1 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.43/24.61 | (323) e4 = e2 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.43/24.61 | (330) e2 = e0 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.43/24.61 | (630) e4 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (323,630) yields a new equation: % 59.43/24.61 | (616) e2 = e1 % 59.43/24.61 | % 59.43/24.61 | Simplifying 616 yields: % 59.43/24.61 | (617) e2 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (330,617) yields a new equation: % 59.43/24.61 | (431) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (431) can reduce 233 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (707) ~ (unit = e2) % 59.43/24.61 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (708), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (709) unit = e4 % 59.43/24.61 | % 59.43/24.61 | From (709) and (24) follows: % 59.43/24.61 | (33325) op(e4, e3) = e3 % 59.43/24.61 | % 59.43/24.61 | From (709) and (227) follows: % 59.43/24.61 | (710) op(e4, e4) = e4 % 59.43/24.61 | % 59.43/24.61 | From (709) and (42) follows: % 59.43/24.61 | (713) op(e0, e4) = e0 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.43/24.61 | (630) e4 = e1 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.43/24.61 | (425) e4 = e3 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.43/24.61 | (676) e3 = e0 % 59.43/24.61 | % 59.43/24.61 | Combining equations (630,425) yields a new equation: % 59.43/24.61 | (455) e3 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (455,676) yields a new equation: % 59.43/24.61 | (546) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Simplifying 546 yields: % 59.43/24.61 | (431) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (431) can reduce 233 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (724) ~ (unit = e4) % 59.43/24.61 | (725) unit = e3 | unit = e1 | unit = e0 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (725), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (726) unit = e0 % 59.43/24.61 | % 59.43/24.61 | From (726) and (244) follows: % 59.43/24.61 | (2207) op(e0, e4) = e4 % 59.43/24.61 | % 59.43/24.61 | From (726) and (24) follows: % 59.43/24.61 | (2208) op(e0, e3) = e3 % 59.43/24.61 | % 59.43/24.61 | From (726) and (15) follows: % 59.43/24.61 | (1508) op(e0, e2) = e2 % 59.43/24.61 | % 59.43/24.61 | From (726) and (211) follows: % 59.43/24.61 | (15180) op(e0, e1) = e1 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.43/24.61 | (425) e4 = e3 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.43/24.61 | (662) e3 = e2 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.43/24.61 | (330) e2 = e0 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.43/24.61 | (630) e4 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (630,425) yields a new equation: % 59.43/24.61 | (455) e3 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (662,455) yields a new equation: % 59.43/24.61 | (616) e2 = e1 % 59.43/24.61 | % 59.43/24.61 | Simplifying 616 yields: % 59.43/24.61 | (617) e2 = e1 % 59.43/24.61 | % 59.43/24.61 | Combining equations (617,330) yields a new equation: % 59.43/24.61 | (546) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Simplifying 546 yields: % 59.43/24.61 | (431) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (431) can reduce 233 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (734) ~ (unit = e0) % 59.43/24.61 | (735) unit = e3 | unit = e1 % 59.43/24.61 | % 59.43/24.61 +-Applying beta-rule and splitting (735), into two cases. % 59.43/24.61 |-Branch one: % 59.43/24.61 | (736) unit = e1 % 59.43/24.61 | % 59.43/24.61 | Equations (736) can reduce 734 to: % 59.43/24.61 | (233) ~ (e1 = e0) % 59.43/24.61 | % 59.43/24.61 | From (736) and (15) follows: % 59.43/24.61 | (515) op(e1, e2) = e2 % 59.43/24.61 | % 59.43/24.61 | From (736) and (28) follows: % 59.43/24.61 | (740) op(e1, e1) = e1 % 59.43/24.61 | % 59.43/24.61 | From (736) and (42) follows: % 59.43/24.61 | (3221) op(e0, e1) = e0 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.43/24.61 | (323) e4 = e2 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.43/24.61 | (617) e2 = e1 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.43/24.61 | (397) e4 = e0 % 59.43/24.61 | % 59.43/24.61 | Combining equations (323,397) yields a new equation: % 59.43/24.61 | (391) e2 = e0 % 59.43/24.61 | % 59.43/24.61 | Simplifying 391 yields: % 59.43/24.61 | (330) e2 = e0 % 59.43/24.61 | % 59.43/24.61 | Combining equations (617,330) yields a new equation: % 59.43/24.61 | (546) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Simplifying 546 yields: % 59.43/24.61 | (431) e1 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (431) can reduce 233 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.61 |-Branch two: % 59.43/24.61 | (748) ~ (unit = e1) % 59.43/24.61 | (749) unit = e3 % 59.43/24.61 | % 59.43/24.61 | From (749) and (40) follows: % 59.43/24.61 | (3715) op(e3, e3) = e3 % 59.43/24.61 | % 59.43/24.61 | From (749) and (32) follows: % 59.43/24.61 | (5793) op(e2, e3) = e2 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.43/24.61 | (676) e3 = e0 % 59.43/24.61 | % 59.43/24.61 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.43/24.61 | (662) e3 = e2 % 59.43/24.61 | % 59.43/24.61 | Combining equations (676,662) yields a new equation: % 59.43/24.61 | (330) e2 = e0 % 59.43/24.61 | % 59.43/24.61 | Equations (330) can reduce 128 to: % 59.43/24.61 | (266) $false % 59.43/24.61 | % 59.43/24.61 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (475) ~ (all_0_51_51 = e4) % 59.43/24.62 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (1294), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (565) all_0_52_52 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (352,565) yields a new equation: % 59.43/24.62 | (323) e4 = e2 % 59.43/24.62 | % 59.43/24.62 | Equations (323) can reduce 48 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (780) ~ (all_0_52_52 = e4) % 59.43/24.62 | (1298) all_0_53_53 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (1298,665) yields a new equation: % 59.43/24.62 | (424) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Simplifying 424 yields: % 59.43/24.62 | (425) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Equations (425) can reduce 188 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (1390) ~ (all_0_44_44 = e4) % 59.43/24.62 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (150), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (1378) all_0_40_40 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (1378,485) yields a new equation: % 59.43/24.62 | (481) e4 = e0 % 59.43/24.62 | % 59.43/24.62 | Simplifying 481 yields: % 59.43/24.62 | (397) e4 = e0 % 59.43/24.62 | % 59.43/24.62 | Equations (397) can reduce 49 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (447) ~ (all_0_40_40 = e4) % 59.43/24.62 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (164), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (471) all_0_39_39 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (471,317) yields a new equation: % 59.43/24.62 | (322) e4 = e2 % 59.43/24.62 | % 59.43/24.62 | Simplifying 322 yields: % 59.43/24.62 | (323) e4 = e2 % 59.43/24.62 | % 59.43/24.62 | Equations (323) can reduce 48 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (1377) ~ (all_0_39_39 = e4) % 59.43/24.62 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.43/24.62 | % 59.43/24.62 | Equations (317) can reduce 1377 to: % 59.43/24.62 | (327) ~ (e4 = e2) % 59.43/24.62 | % 59.43/24.62 | Simplifying 327 yields: % 59.43/24.62 | (48) ~ (e4 = e2) % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (2271), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (446) all_0_44_44 = e4 % 59.43/24.62 | % 59.43/24.62 | Equations (446) can reduce 1390 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (1390) ~ (all_0_44_44 = e4) % 59.43/24.62 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (2115), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (1392) all_0_42_42 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (516,1392) yields a new equation: % 59.43/24.62 | (425) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Equations (425) can reduce 188 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (1890) ~ (all_0_42_42 = e4) % 59.43/24.62 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (7998), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (974) all_0_49_49 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (583,974) yields a new equation: % 59.43/24.62 | (323) e4 = e2 % 59.43/24.62 | % 59.43/24.62 | Equations (323) can reduce 48 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (256) ~ (all_0_49_49 = e4) % 59.43/24.62 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (2246), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (1790) all_0_47_47 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (654,1790) yields a new equation: % 59.43/24.62 | (630) e4 = e1 % 59.43/24.62 | % 59.43/24.62 | Equations (630) can reduce 110 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (252) ~ (all_0_47_47 = e4) % 59.43/24.62 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.43/24.62 | % 59.43/24.62 | Equations (654) can reduce 252 to: % 59.43/24.62 | (602) ~ (e4 = e1) % 59.43/24.62 | % 59.43/24.62 | Simplifying 602 yields: % 59.43/24.62 | (110) ~ (e4 = e1) % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (8013), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (1298) all_0_53_53 = e4 % 59.43/24.62 | % 59.43/24.62 | Equations (1298) can reduce 6 to: % 59.43/24.62 | (475) ~ (all_0_51_51 = e4) % 59.43/24.62 | % 59.43/24.62 | Equations (1298) can reduce 247 to: % 59.43/24.62 | (49) ~ (e4 = e0) % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (6548), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (1101) all_0_51_51 = e4 % 59.43/24.62 | % 59.43/24.62 | Equations (1101) can reduce 475 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (475) ~ (all_0_51_51 = e4) % 59.43/24.62 | (842) all_0_56_56 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (679,842) yields a new equation: % 59.43/24.62 | (397) e4 = e0 % 59.43/24.62 | % 59.43/24.62 | Equations (397) can reduce 49 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (1453) ~ (all_0_53_53 = e4) % 59.43/24.62 | (910) all_0_58_58 = e4 % 59.43/24.62 | % 59.43/24.62 | Combining equations (910,918) yields a new equation: % 59.43/24.62 | (636) e4 = e1 % 59.43/24.62 | % 59.43/24.62 | Simplifying 636 yields: % 59.43/24.62 | (630) e4 = e1 % 59.43/24.62 | % 59.43/24.62 | Equations (630) can reduce 110 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (405) ~ (all_0_42_42 = e3) % 59.43/24.62 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (152), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (1392) all_0_42_42 = e4 % 59.43/24.62 | % 59.43/24.62 | Equations (1392) can reduce 405 to: % 59.43/24.62 | (188) ~ (e4 = e3) % 59.43/24.62 | % 59.43/24.62 | From (1392) and (210) follows: % 59.43/24.62 | (4074) op(e3, e2) = e4 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (1899), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (516) all_0_42_42 = e3 % 59.43/24.62 | % 59.43/24.62 | Combining equations (1392,516) yields a new equation: % 59.43/24.62 | (424) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Simplifying 424 yields: % 59.43/24.62 | (425) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Equations (425) can reduce 188 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (405) ~ (all_0_42_42 = e3) % 59.43/24.62 | (532) all_0_44_44 = e3 % 59.43/24.62 | % 59.43/24.62 | Equations (532) can reduce 220 to: % 59.43/24.62 | (1114) ~ (all_0_53_53 = e3) % 59.43/24.62 | % 59.43/24.62 | Simplifying 1114 yields: % 59.43/24.62 | (903) ~ (all_0_53_53 = e3) % 59.43/24.62 | % 59.43/24.62 | From (532) and (138) follows: % 59.43/24.62 | (1639) op(e3, e0) = e3 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (418), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (660) all_0_51_51 = e3 % 59.43/24.62 | % 59.43/24.62 | From (660) and (186) follows: % 59.43/24.62 | (1552) op(e1, e2) = e3 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (56), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (696) unit = e2 % 59.43/24.62 | % 59.43/24.62 | From (696) and (209) follows: % 59.43/24.62 | (7585) op(e2, e0) = e0 % 59.43/24.62 | % 59.43/24.62 | From (696) and (227) follows: % 59.43/24.62 | (4284) op(e4, e2) = e4 % 59.43/24.62 | % 59.43/24.62 | From (696) and (40) follows: % 59.43/24.62 | (4285) op(e3, e2) = e3 % 59.43/24.62 | % 59.43/24.62 | From (696) and (28) follows: % 59.43/24.62 | (699) op(e1, e2) = e1 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.43/24.62 | (323) e4 = e2 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.43/24.62 | (425) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.43/24.62 | (330) e2 = e0 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.43/24.62 | (455) e3 = e1 % 59.43/24.62 | % 59.43/24.62 | Combining equations (323,425) yields a new equation: % 59.43/24.62 | (662) e3 = e2 % 59.43/24.62 | % 59.43/24.62 | Combining equations (662,455) yields a new equation: % 59.43/24.62 | (616) e2 = e1 % 59.43/24.62 | % 59.43/24.62 | Simplifying 616 yields: % 59.43/24.62 | (617) e2 = e1 % 59.43/24.62 | % 59.43/24.62 | Combining equations (617,330) yields a new equation: % 59.43/24.62 | (546) e1 = e0 % 59.43/24.62 | % 59.43/24.62 | Simplifying 546 yields: % 59.43/24.62 | (431) e1 = e0 % 59.43/24.62 | % 59.43/24.62 | Equations (431) can reduce 233 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (707) ~ (unit = e2) % 59.43/24.62 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (708), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (709) unit = e4 % 59.43/24.62 | % 59.43/24.62 | From (709) and (24) follows: % 59.43/24.62 | (33325) op(e4, e3) = e3 % 59.43/24.62 | % 59.43/24.62 | From (709) and (227) follows: % 59.43/24.62 | (710) op(e4, e4) = e4 % 59.43/24.62 | % 59.43/24.62 | From (709) and (42) follows: % 59.43/24.62 | (713) op(e0, e4) = e0 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.43/24.62 | (630) e4 = e1 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.43/24.62 | (425) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.43/24.62 | (676) e3 = e0 % 59.43/24.62 | % 59.43/24.62 | Combining equations (630,425) yields a new equation: % 59.43/24.62 | (455) e3 = e1 % 59.43/24.62 | % 59.43/24.62 | Combining equations (455,676) yields a new equation: % 59.43/24.62 | (546) e1 = e0 % 59.43/24.62 | % 59.43/24.62 | Simplifying 546 yields: % 59.43/24.62 | (431) e1 = e0 % 59.43/24.62 | % 59.43/24.62 | Equations (431) can reduce 233 to: % 59.43/24.62 | (266) $false % 59.43/24.62 | % 59.43/24.62 |-The branch is then unsatisfiable % 59.43/24.62 |-Branch two: % 59.43/24.62 | (724) ~ (unit = e4) % 59.43/24.62 | (725) unit = e3 | unit = e1 | unit = e0 % 59.43/24.62 | % 59.43/24.62 +-Applying beta-rule and splitting (725), into two cases. % 59.43/24.62 |-Branch one: % 59.43/24.62 | (726) unit = e0 % 59.43/24.62 | % 59.43/24.62 | From (726) and (244) follows: % 59.43/24.62 | (2207) op(e0, e4) = e4 % 59.43/24.62 | % 59.43/24.62 | From (726) and (24) follows: % 59.43/24.62 | (2208) op(e0, e3) = e3 % 59.43/24.62 | % 59.43/24.62 | From (726) and (15) follows: % 59.43/24.62 | (1508) op(e0, e2) = e2 % 59.43/24.62 | % 59.43/24.62 | From (726) and (211) follows: % 59.43/24.62 | (15180) op(e0, e1) = e1 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.43/24.62 | (425) e4 = e3 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.43/24.62 | (662) e3 = e2 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.43/24.62 | (330) e2 = e0 % 59.43/24.62 | % 59.43/24.62 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.43/24.62 | (630) e4 = e1 % 59.43/24.62 | % 59.43/24.62 | Combining equations (425,630) yields a new equation: % 59.43/24.62 | (454) e3 = e1 % 59.43/24.62 | % 59.43/24.62 | Simplifying 454 yields: % 59.43/24.62 | (455) e3 = e1 % 59.43/24.62 | % 59.43/24.62 | Combining equations (455,662) yields a new equation: % 59.43/24.62 | (617) e2 = e1 % 59.43/24.62 | % 59.43/24.62 | Combining equations (617,330) yields a new equation: % 59.43/24.62 | (546) e1 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 546 yields: % 59.43/24.63 | (431) e1 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (431) can reduce 233 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (734) ~ (unit = e0) % 59.43/24.63 | (735) unit = e3 | unit = e1 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (735), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (736) unit = e1 % 59.43/24.63 | % 59.43/24.63 | Equations (736) can reduce 734 to: % 59.43/24.63 | (233) ~ (e1 = e0) % 59.43/24.63 | % 59.43/24.63 | From (736) and (24) follows: % 59.43/24.63 | (1934) op(e1, e3) = e3 % 59.43/24.63 | % 59.43/24.63 | From (736) and (15) follows: % 59.43/24.63 | (515) op(e1, e2) = e2 % 59.43/24.63 | % 59.43/24.63 | From (736) and (32) follows: % 59.43/24.63 | (347) op(e2, e1) = e2 % 59.43/24.63 | % 59.43/24.63 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 59.43/24.63 | (330) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.43/24.63 | (455) e3 = e1 % 59.43/24.63 | % 59.43/24.63 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.43/24.63 | (662) e3 = e2 % 59.43/24.63 | % 59.43/24.63 | Combining equations (662,455) yields a new equation: % 59.43/24.63 | (616) e2 = e1 % 59.43/24.63 | % 59.43/24.63 | Simplifying 616 yields: % 59.43/24.63 | (617) e2 = e1 % 59.43/24.63 | % 59.43/24.63 | Combining equations (617,330) yields a new equation: % 59.43/24.63 | (546) e1 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 546 yields: % 59.43/24.63 | (431) e1 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (431) can reduce 233 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (748) ~ (unit = e1) % 59.43/24.63 | (749) unit = e3 % 59.43/24.63 | % 59.43/24.63 | From (749) and (209) follows: % 59.43/24.63 | (1667) op(e3, e0) = e0 % 59.43/24.63 | % 59.43/24.63 | From (749) and (32) follows: % 59.43/24.63 | (5793) op(e2, e3) = e2 % 59.43/24.63 | % 59.43/24.63 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.43/24.63 | (676) e3 = e0 % 59.43/24.63 | % 59.43/24.63 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.43/24.63 | (662) e3 = e2 % 59.43/24.63 | % 59.43/24.63 | Combining equations (662,676) yields a new equation: % 59.43/24.63 | (391) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 391 yields: % 59.43/24.63 | (330) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (330) can reduce 128 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (664) ~ (all_0_51_51 = e3) % 59.43/24.63 | (665) all_0_53_53 = e3 % 59.43/24.63 | % 59.43/24.63 | Equations (665) can reduce 903 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (1890) ~ (all_0_42_42 = e4) % 59.43/24.63 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (1969), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (559) all_0_42_42 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (559) can reduce 358 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (358) ~ (all_0_42_42 = e0) % 59.43/24.63 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (2510), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (459) all_0_42_42 = e1 % 59.43/24.63 | % 59.43/24.63 | Equations (459) can reduce 1380 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (1380) ~ (all_0_42_42 = e1) % 59.43/24.63 | (516) all_0_42_42 = e3 % 59.43/24.63 | % 59.43/24.63 | Equations (516) can reduce 405 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (433) ~ (all_0_43_43 = e1) % 59.43/24.63 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (6374), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (356) all_0_43_43 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (356) can reduce 5470 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (5470) ~ (all_0_43_43 = e0) % 59.43/24.63 | (430) all_0_43_43 = e1 % 59.43/24.63 | % 59.43/24.63 | Equations (430) can reduce 433 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (828) ~ (all_0_56_56 = e0) % 59.43/24.63 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (924), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (875) all_0_57_57 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (875) can reduce 364 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (364) ~ (all_0_57_57 = e0) % 59.43/24.63 | (914) all_0_58_58 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (914) can reduce 491 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (759) ~ (all_0_50_50 = e1) % 59.43/24.63 | (415) all_0_50_50 = e3 % 59.43/24.63 | % 59.43/24.63 | Equations (415) can reduce 411 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (357) ~ (all_0_41_41 = e0) % 59.43/24.63 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (895), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (538) all_0_46_46 = e0 % 59.43/24.63 | % 59.43/24.63 | Combining equations (538,1557) yields a new equation: % 59.43/24.63 | (676) e3 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (676) can reduce 80 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (831) ~ (all_0_46_46 = e0) % 59.43/24.63 | (858) all_0_55_55 = e0 % 59.43/24.63 | % 59.43/24.63 | Combining equations (386,858) yields a new equation: % 59.43/24.63 | (391) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 391 yields: % 59.43/24.63 | (330) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (330) can reduce 128 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (1283) ~ (all_0_48_48 = e0) % 59.43/24.63 | (978) all_0_49_49 = e0 % 59.43/24.63 | % 59.43/24.63 | Combining equations (583,978) yields a new equation: % 59.43/24.63 | (391) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 391 yields: % 59.43/24.63 | (330) e2 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (330) can reduce 128 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (409) ~ (all_0_46_46 = e3) % 59.43/24.63 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (1561), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (522) all_0_47_47 = e3 % 59.43/24.63 | % 59.43/24.63 | Combining equations (654,522) yields a new equation: % 59.43/24.63 | (455) e3 = e1 % 59.43/24.63 | % 59.43/24.63 | Equations (455) can reduce 213 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (1091) ~ (all_0_47_47 = e3) % 59.43/24.63 | (884) all_0_49_49 = e3 % 59.43/24.63 | % 59.43/24.63 | Combining equations (583,884) yields a new equation: % 59.43/24.63 | (662) e3 = e2 % 59.43/24.63 | % 59.43/24.63 | Equations (662) can reduce 212 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.43/24.63 | % 59.43/24.63 | Applying alpha-rule on (813) yields: % 59.43/24.63 | (654) all_0_47_47 = e1 % 59.43/24.63 | (352) all_0_52_52 = e2 % 59.43/24.63 | (464) ~ (all_0_51_51 = e1) % 59.43/24.63 | % 59.43/24.63 | Equations (654) can reduce 198 to: % 59.43/24.63 | (1380) ~ (all_0_42_42 = e1) % 59.43/24.63 | % 59.43/24.63 | Equations (654) can reduce 91 to: % 59.43/24.63 | (465) ~ (all_0_56_56 = e1) % 59.43/24.63 | % 59.43/24.63 | Simplifying 465 yields: % 59.43/24.63 | (466) ~ (all_0_56_56 = e1) % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (78), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (423) all_0_45_45 = e3 % 59.43/24.63 | % 59.43/24.63 | Combining equations (423,248) yields a new equation: % 59.43/24.63 | (425) e4 = e3 % 59.43/24.63 | % 59.43/24.63 | Equations (425) can reduce 188 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (427) ~ (all_0_45_45 = e3) % 59.43/24.63 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (428), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (1557) all_0_46_46 = e3 % 59.43/24.63 | % 59.43/24.63 | Equations (1557) can reduce 30 to: % 59.43/24.63 | (23024) ~ (all_0_48_48 = e3) % 59.43/24.63 | % 59.43/24.63 | Simplifying 23024 yields: % 59.43/24.63 | (215) ~ (all_0_48_48 = e3) % 59.43/24.63 | % 59.43/24.63 | Equations (1557) can reduce 35 to: % 59.43/24.63 | (410) ~ (all_0_50_50 = e3) % 59.43/24.63 | % 59.43/24.63 | Simplifying 410 yields: % 59.43/24.63 | (411) ~ (all_0_50_50 = e3) % 59.43/24.63 | % 59.43/24.63 | From (1557) and (120) follows: % 59.43/24.63 | (697) op(e2, e3) = e3 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (241), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (378) all_0_50_50 = e2 % 59.43/24.63 | % 59.43/24.63 | Equations (378) can reduce 302 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (302) ~ (all_0_50_50 = e2) % 59.43/24.63 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (184), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (538) all_0_46_46 = e0 % 59.43/24.63 | % 59.43/24.63 | Combining equations (1557,538) yields a new equation: % 59.43/24.63 | (675) e3 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 675 yields: % 59.43/24.63 | (676) e3 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (676) can reduce 80 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (831) ~ (all_0_46_46 = e0) % 59.43/24.63 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (832), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (674) all_0_47_47 = e0 % 59.43/24.63 | % 59.43/24.63 | Combining equations (654,674) yields a new equation: % 59.43/24.63 | (546) e1 = e0 % 59.43/24.63 | % 59.43/24.63 | Simplifying 546 yields: % 59.43/24.63 | (431) e1 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (431) can reduce 233 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (678) ~ (all_0_47_47 = e0) % 59.43/24.63 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (1278), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (1279) all_0_48_48 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (1279) can reduce 239 to: % 59.43/24.63 | (363) ~ (all_0_57_57 = e0) % 59.43/24.63 | % 59.43/24.63 | Simplifying 363 yields: % 59.43/24.63 | (364) ~ (all_0_57_57 = e0) % 59.43/24.63 | % 59.43/24.63 | Equations (1279) can reduce 254 to: % 59.43/24.63 | (401) ~ (e4 = e0) % 59.43/24.63 | % 59.43/24.63 | Simplifying 401 yields: % 59.43/24.63 | (49) ~ (e4 = e0) % 59.43/24.63 | % 59.43/24.63 | Equations (1279) can reduce 215 to: % 59.43/24.63 | (541) ~ (e3 = e0) % 59.43/24.63 | % 59.43/24.63 | Simplifying 541 yields: % 59.43/24.63 | (80) ~ (e3 = e0) % 59.43/24.63 | % 59.43/24.63 | Equations (1279) can reduce 810 to: % 59.43/24.63 | (365) ~ (e2 = e0) % 59.43/24.63 | % 59.43/24.63 | Simplifying 365 yields: % 59.43/24.63 | (128) ~ (e2 = e0) % 59.43/24.63 | % 59.43/24.63 | From (1279) and (192) follows: % 59.43/24.63 | (14938) op(e2, e1) = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (243), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (329) all_0_38_38 = e0 % 59.43/24.63 | % 59.43/24.63 | Combining equations (329,321) yields a new equation: % 59.43/24.63 | (397) e4 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (397) can reduce 49 to: % 59.43/24.63 | (266) $false % 59.43/24.63 | % 59.43/24.63 |-The branch is then unsatisfiable % 59.43/24.63 |-Branch two: % 59.43/24.63 | (332) ~ (all_0_38_38 = e0) % 59.43/24.63 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.43/24.63 | % 59.43/24.63 +-Applying beta-rule and splitting (395), into two cases. % 59.43/24.63 |-Branch one: % 59.43/24.63 | (794) all_0_41_41 = e0 % 59.43/24.63 | % 59.43/24.63 | Equations (794) can reduce 31 to: % 59.43/24.63 | (33173) ~ (all_0_43_43 = e0) % 59.43/24.63 | % 59.43/24.64 | Simplifying 33173 yields: % 59.43/24.64 | (5470) ~ (all_0_43_43 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (794) can reduce 149 to: % 59.43/24.64 | (359) ~ (all_0_44_44 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 359 yields: % 59.43/24.64 | (360) ~ (all_0_44_44 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (794) can reduce 440 to: % 59.43/24.64 | (401) ~ (e4 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 401 yields: % 59.43/24.64 | (49) ~ (e4 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (794) can reduce 85 to: % 59.43/24.64 | (365) ~ (e2 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 365 yields: % 59.43/24.64 | (128) ~ (e2 = e0) % 59.43/24.64 | % 59.43/24.64 | From (794) and (219) follows: % 59.43/24.64 | (5573) op(e3, e3) = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (104), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (480) all_0_39_39 = e0 % 59.43/24.64 | % 59.43/24.64 | Combining equations (480,317) yields a new equation: % 59.43/24.64 | (330) e2 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (330) can reduce 128 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (484) ~ (all_0_39_39 = e0) % 59.43/24.64 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (317) can reduce 484 to: % 59.43/24.64 | (128) ~ (e2 = e0) % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (125), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (858) all_0_55_55 = e0 % 59.43/24.64 | % 59.43/24.64 | Combining equations (386,858) yields a new equation: % 59.43/24.64 | (391) e2 = e0 % 59.43/24.64 | % 59.43/24.64 | Simplifying 391 yields: % 59.43/24.64 | (330) e2 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (330) can reduce 128 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (803) ~ (all_0_55_55 = e0) % 59.43/24.64 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (422), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (775) all_0_50_50 = e4 % 59.43/24.64 | % 59.43/24.64 | Equations (775) can reduce 566 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (566) ~ (all_0_50_50 = e4) % 59.43/24.64 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (1444), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (601) all_0_50_50 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (601) can reduce 59 to: % 59.43/24.64 | (463) ~ (all_0_51_51 = e1) % 59.43/24.64 | % 59.43/24.64 | Simplifying 463 yields: % 59.43/24.64 | (464) ~ (all_0_51_51 = e1) % 59.43/24.64 | % 59.43/24.64 | Equations (601) can reduce 190 to: % 59.43/24.64 | (1458) ~ (all_0_53_53 = e1) % 59.43/24.64 | % 59.43/24.64 | Simplifying 1458 yields: % 59.43/24.64 | (1459) ~ (all_0_53_53 = e1) % 59.43/24.64 | % 59.43/24.64 | Equations (601) can reduce 566 to: % 59.43/24.64 | (602) ~ (e4 = e1) % 59.43/24.64 | % 59.43/24.64 | Simplifying 602 yields: % 59.43/24.64 | (110) ~ (e4 = e1) % 59.43/24.64 | % 59.43/24.64 | Equations (601) can reduce 302 to: % 59.43/24.64 | (604) ~ (e2 = e1) % 59.43/24.64 | % 59.43/24.64 | Simplifying 604 yields: % 59.43/24.64 | (122) ~ (e2 = e1) % 59.43/24.64 | % 59.43/24.64 | From (601) and (242) follows: % 59.43/24.64 | (2235) op(e1, e3) = e1 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (863), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (679) all_0_56_56 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 236 to: % 59.43/24.64 | (358) ~ (all_0_42_42 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 16 to: % 59.43/24.64 | (115) ~ (all_0_51_51 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 140 to: % 59.43/24.64 | (363) ~ (all_0_57_57 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 363 yields: % 59.43/24.64 | (364) ~ (all_0_57_57 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 44 to: % 59.43/24.64 | (490) ~ (all_0_58_58 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 490 yields: % 59.43/24.64 | (491) ~ (all_0_58_58 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 272 to: % 59.43/24.64 | (541) ~ (e3 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 541 yields: % 59.43/24.64 | (80) ~ (e3 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 511 to: % 59.43/24.64 | (365) ~ (e2 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 365 yields: % 59.43/24.64 | (128) ~ (e2 = e0) % 59.43/24.64 | % 59.43/24.64 | Equations (679) can reduce 466 to: % 59.43/24.64 | (435) ~ (e1 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 435 yields: % 59.43/24.64 | (233) ~ (e1 = e0) % 59.43/24.64 | % 59.43/24.64 | From (679) and (111) follows: % 59.43/24.64 | (1613) op(e0, e2) = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (195), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (396) all_0_43_43 = e4 % 59.43/24.64 | % 59.43/24.64 | Equations (396) can reduce 240 to: % 59.43/24.64 | (1890) ~ (all_0_42_42 = e4) % 59.43/24.64 | % 59.43/24.64 | From (396) and (37) follows: % 59.43/24.64 | (5492) op(e3, e1) = e4 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (130), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (430) all_0_43_43 = e1 % 59.43/24.64 | % 59.43/24.64 | Combining equations (430,396) yields a new equation: % 59.43/24.64 | (630) e4 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (630) can reduce 110 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (433) ~ (all_0_43_43 = e1) % 59.43/24.64 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (152), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (1392) all_0_42_42 = e4 % 59.43/24.64 | % 59.43/24.64 | Equations (1392) can reduce 1890 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (1890) ~ (all_0_42_42 = e4) % 59.43/24.64 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (12), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (442) all_0_57_57 = e2 % 59.43/24.64 | % 59.43/24.64 | Equations (442) can reduce 344 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (344) ~ (all_0_57_57 = e2) % 59.43/24.64 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (434), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (615) all_0_48_48 = e1 % 59.43/24.64 | % 59.43/24.64 | Combining equations (1279,615) yields a new equation: % 59.43/24.64 | (431) e1 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (431) can reduce 233 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (619) ~ (all_0_48_48 = e1) % 59.43/24.64 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (620), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (642) all_0_52_52 = e1 % 59.43/24.64 | % 59.43/24.64 | Combining equations (352,642) yields a new equation: % 59.43/24.64 | (616) e2 = e1 % 59.43/24.64 | % 59.43/24.64 | Simplifying 616 yields: % 59.43/24.64 | (617) e2 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (617) can reduce 122 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (646) ~ (all_0_52_52 = e1) % 59.43/24.64 | (647) all_0_57_57 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (647) can reduce 148 to: % 59.43/24.64 | (879) ~ (all_0_58_58 = e1) % 59.43/24.64 | % 59.43/24.64 | Simplifying 879 yields: % 59.43/24.64 | (880) ~ (all_0_58_58 = e1) % 59.43/24.64 | % 59.43/24.64 | Equations (647) can reduce 344 to: % 59.43/24.64 | (604) ~ (e2 = e1) % 59.43/24.64 | % 59.43/24.64 | Simplifying 604 yields: % 59.43/24.64 | (122) ~ (e2 = e1) % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (1969), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (559) all_0_42_42 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (559) can reduce 358 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (358) ~ (all_0_42_42 = e0) % 59.43/24.64 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (2510), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (459) all_0_42_42 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (459) can reduce 1380 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (1380) ~ (all_0_42_42 = e1) % 59.43/24.64 | (516) all_0_42_42 = e3 % 59.43/24.64 | % 59.43/24.64 | Equations (516) can reduce 61 to: % 59.43/24.64 | (1925) ~ (all_0_51_51 = e3) % 59.43/24.64 | % 59.43/24.64 | Simplifying 1925 yields: % 59.43/24.64 | (664) ~ (all_0_51_51 = e3) % 59.43/24.64 | % 59.43/24.64 | Equations (516) can reduce 1380 to: % 59.43/24.64 | (213) ~ (e3 = e1) % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (168), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (415) all_0_50_50 = e3 % 59.43/24.64 | % 59.43/24.64 | Combining equations (415,601) yields a new equation: % 59.43/24.64 | (454) e3 = e1 % 59.43/24.64 | % 59.43/24.64 | Simplifying 454 yields: % 59.43/24.64 | (455) e3 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (455) can reduce 213 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (411) ~ (all_0_50_50 = e3) % 59.43/24.64 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (7), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (504) all_0_51_51 = e2 % 59.43/24.64 | % 59.43/24.64 | Equations (504) can reduce 1099 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (1099) ~ (all_0_51_51 = e2) % 59.43/24.64 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (112), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (635) all_0_44_44 = e1 % 59.43/24.64 | % 59.43/24.64 | Equations (635) can reduce 360 to: % 59.43/24.64 | (233) ~ (e1 = e0) % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (108), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (624) all_0_58_58 = e2 % 59.43/24.64 | % 59.43/24.64 | Equations (624) can reduce 908 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (908) ~ (all_0_58_58 = e2) % 59.43/24.64 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (1100), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (1101) all_0_51_51 = e4 % 59.43/24.64 | % 59.43/24.64 | Equations (1101) can reduce 6 to: % 59.43/24.64 | (1452) ~ (all_0_53_53 = e4) % 59.43/24.64 | % 59.43/24.64 | Simplifying 1452 yields: % 59.43/24.64 | (1453) ~ (all_0_53_53 = e4) % 59.43/24.64 | % 59.43/24.64 | Equations (1101) can reduce 664 to: % 59.43/24.64 | (188) ~ (e4 = e3) % 59.43/24.64 | % 59.43/24.64 | Equations (1101) can reduce 1099 to: % 59.43/24.64 | (48) ~ (e4 = e2) % 59.43/24.64 | % 59.43/24.64 | Equations (1101) can reduce 464 to: % 59.43/24.64 | (110) ~ (e4 = e1) % 59.43/24.64 | % 59.43/24.64 | Equations (1101) can reduce 115 to: % 59.43/24.64 | (49) ~ (e4 = e0) % 59.43/24.64 | % 59.43/24.64 | From (1101) and (186) follows: % 59.43/24.64 | (13720) op(e1, e2) = e4 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (150), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (1378) all_0_40_40 = e4 % 59.43/24.64 | % 59.43/24.64 | Combining equations (1378,485) yields a new equation: % 59.43/24.64 | (481) e4 = e0 % 59.43/24.64 | % 59.43/24.64 | Simplifying 481 yields: % 59.43/24.64 | (397) e4 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (397) can reduce 49 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (447) ~ (all_0_40_40 = e4) % 59.43/24.64 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.43/24.64 | % 59.43/24.64 | Equations (485) can reduce 447 to: % 59.43/24.64 | (401) ~ (e4 = e0) % 59.43/24.64 | % 59.43/24.64 | Simplifying 401 yields: % 59.43/24.64 | (49) ~ (e4 = e0) % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (418), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (660) all_0_51_51 = e3 % 59.43/24.64 | % 59.43/24.64 | Combining equations (660,1101) yields a new equation: % 59.43/24.64 | (425) e4 = e3 % 59.43/24.64 | % 59.43/24.64 | Equations (425) can reduce 188 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (664) ~ (all_0_51_51 = e3) % 59.43/24.64 | (665) all_0_53_53 = e3 % 59.43/24.64 | % 59.43/24.64 | Equations (665) can reduce 1453 to: % 59.43/24.64 | (277) ~ (e4 = e3) % 59.43/24.64 | % 59.43/24.64 | Simplifying 277 yields: % 59.43/24.64 | (188) ~ (e4 = e3) % 59.43/24.64 | % 59.43/24.64 | From (665) and (84) follows: % 59.43/24.64 | (3786) op(e1, e0) = e3 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (171), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (265) all_0_54_54 = e4 % 59.43/24.64 | % 59.43/24.64 | Combining equations (268,265) yields a new equation: % 59.43/24.64 | (425) e4 = e3 % 59.43/24.64 | % 59.43/24.64 | Equations (425) can reduce 188 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (258) ~ (all_0_54_54 = e4) % 59.43/24.64 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (909), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (910) all_0_58_58 = e4 % 59.43/24.64 | % 59.43/24.64 | From (910) and (245) follows: % 59.43/24.64 | (2661) op(e0, e0) = e4 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (56), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (696) unit = e2 % 59.43/24.64 | % 59.43/24.64 | From (696) and (209) follows: % 59.43/24.64 | (7585) op(e2, e0) = e0 % 59.43/24.64 | % 59.43/24.64 | From (696) and (227) follows: % 59.43/24.64 | (4284) op(e4, e2) = e4 % 59.43/24.64 | % 59.43/24.64 | From (696) and (28) follows: % 59.43/24.64 | (699) op(e1, e2) = e1 % 59.43/24.64 | % 59.43/24.64 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.43/24.64 | (323) e4 = e2 % 59.43/24.64 | % 59.43/24.64 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.43/24.64 | (330) e2 = e0 % 59.43/24.64 | % 59.43/24.64 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.43/24.64 | (630) e4 = e1 % 59.43/24.64 | % 59.43/24.64 | Combining equations (323,630) yields a new equation: % 59.43/24.64 | (616) e2 = e1 % 59.43/24.64 | % 59.43/24.64 | Simplifying 616 yields: % 59.43/24.64 | (617) e2 = e1 % 59.43/24.64 | % 59.43/24.64 | Combining equations (330,617) yields a new equation: % 59.43/24.64 | (431) e1 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (431) can reduce 233 to: % 59.43/24.64 | (266) $false % 59.43/24.64 | % 59.43/24.64 |-The branch is then unsatisfiable % 59.43/24.64 |-Branch two: % 59.43/24.64 | (707) ~ (unit = e2) % 59.43/24.64 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.43/24.64 | % 59.43/24.64 +-Applying beta-rule and splitting (708), into two cases. % 59.43/24.64 |-Branch one: % 59.43/24.64 | (709) unit = e4 % 59.43/24.64 | % 59.43/24.64 | From (709) and (24) follows: % 59.43/24.64 | (33325) op(e4, e3) = e3 % 59.43/24.64 | % 59.43/24.64 | From (709) and (227) follows: % 59.43/24.64 | (710) op(e4, e4) = e4 % 59.43/24.64 | % 59.43/24.64 | From (709) and (42) follows: % 59.43/24.64 | (713) op(e0, e4) = e0 % 59.43/24.64 | % 59.43/24.64 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.43/24.64 | (630) e4 = e1 % 59.43/24.64 | % 59.43/24.64 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.43/24.64 | (425) e4 = e3 % 59.43/24.64 | % 59.43/24.64 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.43/24.64 | (676) e3 = e0 % 59.43/24.64 | % 59.43/24.64 | Combining equations (630,425) yields a new equation: % 59.43/24.64 | (455) e3 = e1 % 59.43/24.64 | % 59.43/24.64 | Combining equations (455,676) yields a new equation: % 59.43/24.64 | (546) e1 = e0 % 59.43/24.64 | % 59.43/24.64 | Simplifying 546 yields: % 59.43/24.64 | (431) e1 = e0 % 59.43/24.64 | % 59.43/24.64 | Equations (431) can reduce 233 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (724) ~ (unit = e4) % 59.43/24.65 | (725) unit = e3 | unit = e1 | unit = e0 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (725), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (726) unit = e0 % 59.43/24.65 | % 59.43/24.65 | From (726) and (244) follows: % 59.43/24.65 | (2207) op(e0, e4) = e4 % 59.43/24.65 | % 59.43/24.65 | From (726) and (24) follows: % 59.43/24.65 | (2208) op(e0, e3) = e3 % 59.43/24.65 | % 59.43/24.65 | From (726) and (28) follows: % 59.43/24.65 | (2698) op(e1, e0) = e1 % 59.43/24.65 | % 59.43/24.65 | From (726) and (42) follows: % 59.43/24.65 | (728) op(e0, e0) = e0 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 59.43/24.65 | (455) e3 = e1 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.43/24.65 | (425) e4 = e3 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.43/24.65 | (662) e3 = e2 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 59.43/24.65 | (397) e4 = e0 % 59.43/24.65 | % 59.43/24.65 | Combining equations (425,397) yields a new equation: % 59.43/24.65 | (675) e3 = e0 % 59.43/24.65 | % 59.43/24.65 | Simplifying 675 yields: % 59.43/24.65 | (676) e3 = e0 % 59.43/24.65 | % 59.43/24.65 | Combining equations (676,662) yields a new equation: % 59.43/24.65 | (330) e2 = e0 % 59.43/24.65 | % 59.43/24.65 | Combining equations (455,662) yields a new equation: % 59.43/24.65 | (617) e2 = e1 % 59.43/24.65 | % 59.43/24.65 | Combining equations (617,330) yields a new equation: % 59.43/24.65 | (546) e1 = e0 % 59.43/24.65 | % 59.43/24.65 | Simplifying 546 yields: % 59.43/24.65 | (431) e1 = e0 % 59.43/24.65 | % 59.43/24.65 | Equations (431) can reduce 233 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (734) ~ (unit = e0) % 59.43/24.65 | (735) unit = e3 | unit = e1 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (735), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (736) unit = e1 % 59.43/24.65 | % 59.43/24.65 | Equations (736) can reduce 734 to: % 59.43/24.65 | (233) ~ (e1 = e0) % 59.43/24.65 | % 59.43/24.65 | From (736) and (244) follows: % 59.43/24.65 | (738) op(e1, e4) = e4 % 59.43/24.65 | % 59.43/24.65 | From (736) and (15) follows: % 59.43/24.65 | (515) op(e1, e2) = e2 % 59.43/24.65 | % 59.43/24.65 | From (736) and (28) follows: % 59.43/24.65 | (740) op(e1, e1) = e1 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 59.43/24.65 | (397) e4 = e0 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.43/24.65 | (323) e4 = e2 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.43/24.65 | (617) e2 = e1 % 59.43/24.65 | % 59.43/24.65 | Combining equations (323,397) yields a new equation: % 59.43/24.65 | (391) e2 = e0 % 59.43/24.65 | % 59.43/24.65 | Simplifying 391 yields: % 59.43/24.65 | (330) e2 = e0 % 59.43/24.65 | % 59.43/24.65 | Combining equations (330,617) yields a new equation: % 59.43/24.65 | (431) e1 = e0 % 59.43/24.65 | % 59.43/24.65 | Equations (431) can reduce 233 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (748) ~ (unit = e1) % 59.43/24.65 | (749) unit = e3 % 59.43/24.65 | % 59.43/24.65 | From (749) and (244) follows: % 59.43/24.65 | (750) op(e3, e4) = e4 % 59.43/24.65 | % 59.43/24.65 | From (749) and (211) follows: % 59.43/24.65 | (13877) op(e3, e1) = e1 % 59.43/24.65 | % 59.43/24.65 | From (749) and (40) follows: % 59.43/24.65 | (3715) op(e3, e3) = e3 % 59.43/24.65 | % 59.43/24.65 | From (749) and (32) follows: % 59.43/24.65 | (5793) op(e2, e3) = e2 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.43/24.65 | (323) e4 = e2 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.43/24.65 | (676) e3 = e0 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 59.43/24.65 | (630) e4 = e1 % 59.43/24.65 | % 59.43/24.65 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.43/24.65 | (662) e3 = e2 % 59.43/24.65 | % 59.43/24.65 | Combining equations (630,323) yields a new equation: % 59.43/24.65 | (617) e2 = e1 % 59.43/24.65 | % 59.43/24.65 | Combining equations (662,676) yields a new equation: % 59.43/24.65 | (391) e2 = e0 % 59.43/24.65 | % 59.43/24.65 | Simplifying 391 yields: % 59.43/24.65 | (330) e2 = e0 % 59.43/24.65 | % 59.43/24.65 | Combining equations (617,330) yields a new equation: % 59.43/24.65 | (546) e1 = e0 % 59.43/24.65 | % 59.43/24.65 | Simplifying 546 yields: % 59.43/24.65 | (431) e1 = e0 % 59.43/24.65 | % 59.43/24.65 | Equations (431) can reduce 233 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (451) ~ (all_0_58_58 = e4) % 59.43/24.65 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (575), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (587) all_0_55_55 = e4 % 59.43/24.65 | % 59.43/24.65 | Combining equations (587,386) yields a new equation: % 59.43/24.65 | (322) e4 = e2 % 59.43/24.65 | % 59.43/24.65 | Simplifying 322 yields: % 59.43/24.65 | (323) e4 = e2 % 59.43/24.65 | % 59.43/24.65 | Equations (323) can reduce 48 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (763) ~ (all_0_55_55 = e4) % 59.43/24.65 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (764), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (842) all_0_56_56 = e4 % 59.43/24.65 | % 59.43/24.65 | Combining equations (679,842) yields a new equation: % 59.43/24.65 | (397) e4 = e0 % 59.43/24.65 | % 59.43/24.65 | Equations (397) can reduce 49 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (477) ~ (all_0_56_56 = e4) % 59.43/24.65 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (935), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (871) all_0_57_57 = e4 % 59.43/24.65 | % 59.43/24.65 | Combining equations (871,647) yields a new equation: % 59.43/24.65 | (636) e4 = e1 % 59.43/24.65 | % 59.43/24.65 | Simplifying 636 yields: % 59.43/24.65 | (630) e4 = e1 % 59.43/24.65 | % 59.43/24.65 | Equations (630) can reduce 110 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (839) ~ (all_0_57_57 = e4) % 59.43/24.65 | (910) all_0_58_58 = e4 % 59.43/24.65 | % 59.43/24.65 | Equations (910) can reduce 451 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (475) ~ (all_0_51_51 = e4) % 59.43/24.65 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (1104), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (1109) all_0_51_51 = e1 % 59.43/24.65 | % 59.43/24.65 | Equations (1109) can reduce 464 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (464) ~ (all_0_51_51 = e1) % 59.43/24.65 | (660) all_0_51_51 = e3 % 59.43/24.65 | % 59.43/24.65 | Equations (660) can reduce 664 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (639) ~ (all_0_44_44 = e1) % 59.43/24.65 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (640), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (671) all_0_49_49 = e1 % 59.43/24.65 | % 59.43/24.65 | Combining equations (583,671) yields a new equation: % 59.43/24.65 | (616) e2 = e1 % 59.43/24.65 | % 59.43/24.65 | Simplifying 616 yields: % 59.43/24.65 | (617) e2 = e1 % 59.43/24.65 | % 59.43/24.65 | Equations (617) can reduce 122 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (1064) ~ (all_0_49_49 = e1) % 59.43/24.65 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (2141), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (1208) all_0_53_53 = e1 % 59.43/24.65 | % 59.43/24.65 | Equations (1208) can reduce 1459 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (1459) ~ (all_0_53_53 = e1) % 59.43/24.65 | (918) all_0_58_58 = e1 % 59.43/24.65 | % 59.43/24.65 | Equations (918) can reduce 880 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (399) ~ (all_0_43_43 = e4) % 59.43/24.65 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (230), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (396) all_0_43_43 = e4 % 59.43/24.65 | % 59.43/24.65 | Equations (396) can reduce 399 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (399) ~ (all_0_43_43 = e4) % 59.43/24.65 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (400), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (943) all_0_48_48 = e4 % 59.43/24.65 | % 59.43/24.65 | Combining equations (943,1279) yields a new equation: % 59.43/24.65 | (481) e4 = e0 % 59.43/24.65 | % 59.43/24.65 | Simplifying 481 yields: % 59.43/24.65 | (397) e4 = e0 % 59.43/24.65 | % 59.43/24.65 | Equations (397) can reduce 49 to: % 59.43/24.65 | (266) $false % 59.43/24.65 | % 59.43/24.65 |-The branch is then unsatisfiable % 59.43/24.65 |-Branch two: % 59.43/24.65 | (254) ~ (all_0_48_48 = e4) % 59.43/24.65 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.43/24.65 | % 59.43/24.65 +-Applying beta-rule and splitting (947), into two cases. % 59.43/24.65 |-Branch one: % 59.43/24.65 | (565) all_0_52_52 = e4 % 59.43/24.65 | % 59.43/24.65 | Combining equations (352,565) yields a new equation: % 59.43/24.65 | (323) e4 = e2 % 59.43/24.65 | % 59.53/24.65 | Equations (323) can reduce 48 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (780) ~ (all_0_52_52 = e4) % 59.53/24.65 | (871) all_0_57_57 = e4 % 59.53/24.65 | % 59.53/24.65 | Equations (871) can reduce 199 to: % 59.53/24.65 | (399) ~ (all_0_43_43 = e4) % 59.53/24.65 | % 59.53/24.65 | Equations (871) can reduce 148 to: % 59.53/24.65 | (450) ~ (all_0_58_58 = e4) % 59.53/24.65 | % 59.53/24.65 | Simplifying 450 yields: % 59.53/24.65 | (451) ~ (all_0_58_58 = e4) % 59.53/24.65 | % 59.53/24.65 | Equations (871) can reduce 67 to: % 59.53/24.65 | (188) ~ (e4 = e3) % 59.53/24.65 | % 59.53/24.65 | Equations (871) can reduce 344 to: % 59.53/24.65 | (48) ~ (e4 = e2) % 59.53/24.65 | % 59.53/24.65 | Equations (871) can reduce 364 to: % 59.53/24.65 | (49) ~ (e4 = e0) % 59.53/24.65 | % 59.53/24.65 | From (871) and (83) follows: % 59.53/24.65 | (3109) op(e0, e1) = e4 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (216), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (629) all_0_55_55 = e1 % 59.53/24.65 | % 59.53/24.65 | Combining equations (629,386) yields a new equation: % 59.53/24.65 | (617) e2 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (617) can reduce 122 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (632) ~ (all_0_55_55 = e1) % 59.53/24.65 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (633), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (1569) all_0_56_56 = e1 % 59.53/24.65 | % 59.53/24.65 | Combining equations (1569,679) yields a new equation: % 59.53/24.65 | (546) e1 = e0 % 59.53/24.65 | % 59.53/24.65 | Simplifying 546 yields: % 59.53/24.65 | (431) e1 = e0 % 59.53/24.65 | % 59.53/24.65 | Equations (431) can reduce 233 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (466) ~ (all_0_56_56 = e1) % 59.53/24.65 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (130), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (430) all_0_43_43 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (430) can reduce 240 to: % 59.53/24.65 | (1380) ~ (all_0_42_42 = e1) % 59.53/24.65 | % 59.53/24.65 | Equations (430) can reduce 399 to: % 59.53/24.65 | (602) ~ (e4 = e1) % 59.53/24.65 | % 59.53/24.65 | Simplifying 602 yields: % 59.53/24.65 | (110) ~ (e4 = e1) % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (1574), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (647) all_0_57_57 = e1 % 59.53/24.65 | % 59.53/24.65 | Combining equations (647,871) yields a new equation: % 59.53/24.65 | (630) e4 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (630) can reduce 110 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (1670) ~ (all_0_57_57 = e1) % 59.53/24.65 | (918) all_0_58_58 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (918) can reduce 10 to: % 59.53/24.65 | (1459) ~ (all_0_53_53 = e1) % 59.53/24.65 | % 59.53/24.65 | Equations (918) can reduce 451 to: % 59.53/24.65 | (602) ~ (e4 = e1) % 59.53/24.65 | % 59.53/24.65 | Simplifying 602 yields: % 59.53/24.65 | (110) ~ (e4 = e1) % 59.53/24.65 | % 59.53/24.65 | Equations (918) can reduce 276 to: % 59.53/24.65 | (467) ~ (e3 = e1) % 59.53/24.65 | % 59.53/24.65 | Simplifying 467 yields: % 59.53/24.65 | (213) ~ (e3 = e1) % 59.53/24.65 | % 59.53/24.65 | Equations (918) can reduce 491 to: % 59.53/24.65 | (233) ~ (e1 = e0) % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (168), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (415) all_0_50_50 = e3 % 59.53/24.65 | % 59.53/24.65 | Combining equations (601,415) yields a new equation: % 59.53/24.65 | (455) e3 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (455) can reduce 213 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (411) ~ (all_0_50_50 = e3) % 59.53/24.65 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (113), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (403) all_0_41_41 = e3 % 59.53/24.65 | % 59.53/24.65 | Combining equations (794,403) yields a new equation: % 59.53/24.65 | (676) e3 = e0 % 59.53/24.65 | % 59.53/24.65 | Equations (676) can reduce 80 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (1898) ~ (all_0_41_41 = e3) % 59.53/24.65 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (196), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (607) all_0_53_53 = e2 % 59.53/24.65 | % 59.53/24.65 | Equations (607) can reduce 509 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (509) ~ (all_0_53_53 = e2) % 59.53/24.65 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (64), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (437) all_0_41_41 = e4 % 59.53/24.65 | % 59.53/24.65 | Combining equations (794,437) yields a new equation: % 59.53/24.65 | (397) e4 = e0 % 59.53/24.65 | % 59.53/24.65 | Equations (397) can reduce 49 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (440) ~ (all_0_41_41 = e4) % 59.53/24.65 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.53/24.65 | % 59.53/24.65 | Equations (794) can reduce 440 to: % 59.53/24.65 | (401) ~ (e4 = e0) % 59.53/24.65 | % 59.53/24.65 | Simplifying 401 yields: % 59.53/24.65 | (49) ~ (e4 = e0) % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (231), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (775) all_0_50_50 = e4 % 59.53/24.65 | % 59.53/24.65 | Combining equations (601,775) yields a new equation: % 59.53/24.65 | (630) e4 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (630) can reduce 110 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (566) ~ (all_0_50_50 = e4) % 59.53/24.65 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.53/24.65 | % 59.53/24.65 | Equations (601) can reduce 566 to: % 59.53/24.65 | (602) ~ (e4 = e1) % 59.53/24.65 | % 59.53/24.65 | Simplifying 602 yields: % 59.53/24.65 | (110) ~ (e4 = e1) % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (180), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (516) all_0_42_42 = e3 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (26), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (446) all_0_44_44 = e4 % 59.53/24.65 | % 59.53/24.65 | Equations (446) can reduce 220 to: % 59.53/24.65 | (1452) ~ (all_0_53_53 = e4) % 59.53/24.65 | % 59.53/24.65 | Simplifying 1452 yields: % 59.53/24.65 | (1453) ~ (all_0_53_53 = e4) % 59.53/24.65 | % 59.53/24.65 | Equations (446) can reduce 147 to: % 59.53/24.65 | (48) ~ (e4 = e2) % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (610), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (1298) all_0_53_53 = e4 % 59.53/24.65 | % 59.53/24.65 | Equations (1298) can reduce 1453 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (1453) ~ (all_0_53_53 = e4) % 59.53/24.65 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (164), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (471) all_0_39_39 = e4 % 59.53/24.65 | % 59.53/24.65 | Combining equations (471,317) yields a new equation: % 59.53/24.65 | (322) e4 = e2 % 59.53/24.65 | % 59.53/24.65 | Simplifying 322 yields: % 59.53/24.65 | (323) e4 = e2 % 59.53/24.65 | % 59.53/24.65 | Equations (323) can reduce 48 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (1377) ~ (all_0_39_39 = e4) % 59.53/24.65 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.65 | % 59.53/24.65 | Equations (317) can reduce 1377 to: % 59.53/24.65 | (327) ~ (e4 = e2) % 59.53/24.65 | % 59.53/24.65 | Simplifying 327 yields: % 59.53/24.65 | (48) ~ (e4 = e2) % 59.53/24.65 | % 59.53/24.65 +-Applying beta-rule and splitting (1694), into two cases. % 59.53/24.65 |-Branch one: % 59.53/24.65 | (1208) all_0_53_53 = e1 % 59.53/24.65 | % 59.53/24.65 | Equations (1208) can reduce 1459 to: % 59.53/24.65 | (266) $false % 59.53/24.65 | % 59.53/24.65 |-The branch is then unsatisfiable % 59.53/24.65 |-Branch two: % 59.53/24.65 | (1459) ~ (all_0_53_53 = e1) % 59.53/24.65 | (665) all_0_53_53 = e3 % 59.53/24.65 | % 59.53/24.65 | Equations (665) can reduce 1453 to: % 59.53/24.65 | (277) ~ (e4 = e3) % 59.53/24.65 | % 59.53/24.65 | Simplifying 277 yields: % 59.53/24.65 | (188) ~ (e4 = e3) % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (1071), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (1101) all_0_51_51 = e4 % 59.53/24.66 | % 59.53/24.66 | From (1101) and (186) follows: % 59.53/24.66 | (13720) op(e1, e2) = e4 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (56), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (696) unit = e2 % 59.53/24.66 | % 59.53/24.66 | From (696) and (209) follows: % 59.53/24.66 | (7585) op(e2, e0) = e0 % 59.53/24.66 | % 59.53/24.66 | From (696) and (227) follows: % 59.53/24.66 | (4284) op(e4, e2) = e4 % 59.53/24.66 | % 59.53/24.66 | From (696) and (28) follows: % 59.53/24.66 | (699) op(e1, e2) = e1 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.53/24.66 | (323) e4 = e2 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.53/24.66 | (330) e2 = e0 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.53/24.66 | (630) e4 = e1 % 59.53/24.66 | % 59.53/24.66 | Combining equations (323,630) yields a new equation: % 59.53/24.66 | (616) e2 = e1 % 59.53/24.66 | % 59.53/24.66 | Simplifying 616 yields: % 59.53/24.66 | (617) e2 = e1 % 59.53/24.66 | % 59.53/24.66 | Combining equations (330,617) yields a new equation: % 59.53/24.66 | (431) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (431) can reduce 233 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (707) ~ (unit = e2) % 59.53/24.66 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (708), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (709) unit = e4 % 59.53/24.66 | % 59.53/24.66 | From (709) and (24) follows: % 59.53/24.66 | (33325) op(e4, e3) = e3 % 59.53/24.66 | % 59.53/24.66 | From (709) and (227) follows: % 59.53/24.66 | (710) op(e4, e4) = e4 % 59.53/24.66 | % 59.53/24.66 | From (709) and (42) follows: % 59.53/24.66 | (713) op(e0, e4) = e0 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.53/24.66 | (630) e4 = e1 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.53/24.66 | (425) e4 = e3 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.53/24.66 | (676) e3 = e0 % 59.53/24.66 | % 59.53/24.66 | Combining equations (630,425) yields a new equation: % 59.53/24.66 | (455) e3 = e1 % 59.53/24.66 | % 59.53/24.66 | Combining equations (455,676) yields a new equation: % 59.53/24.66 | (546) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Simplifying 546 yields: % 59.53/24.66 | (431) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (431) can reduce 233 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (724) ~ (unit = e4) % 59.53/24.66 | (725) unit = e3 | unit = e1 | unit = e0 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (725), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (726) unit = e0 % 59.53/24.66 | % 59.53/24.66 | From (726) and (244) follows: % 59.53/24.66 | (2207) op(e0, e4) = e4 % 59.53/24.66 | % 59.53/24.66 | From (726) and (24) follows: % 59.53/24.66 | (2208) op(e0, e3) = e3 % 59.53/24.66 | % 59.53/24.66 | From (726) and (15) follows: % 59.53/24.66 | (1508) op(e0, e2) = e2 % 59.53/24.66 | % 59.53/24.66 | From (726) and (211) follows: % 59.53/24.66 | (15180) op(e0, e1) = e1 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.53/24.66 | (425) e4 = e3 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.53/24.66 | (662) e3 = e2 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.53/24.66 | (330) e2 = e0 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.53/24.66 | (630) e4 = e1 % 59.53/24.66 | % 59.53/24.66 | Combining equations (630,425) yields a new equation: % 59.53/24.66 | (455) e3 = e1 % 59.53/24.66 | % 59.53/24.66 | Combining equations (662,455) yields a new equation: % 59.53/24.66 | (616) e2 = e1 % 59.53/24.66 | % 59.53/24.66 | Simplifying 616 yields: % 59.53/24.66 | (617) e2 = e1 % 59.53/24.66 | % 59.53/24.66 | Combining equations (617,330) yields a new equation: % 59.53/24.66 | (546) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Simplifying 546 yields: % 59.53/24.66 | (431) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (431) can reduce 233 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (734) ~ (unit = e0) % 59.53/24.66 | (735) unit = e3 | unit = e1 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (735), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (736) unit = e1 % 59.53/24.66 | % 59.53/24.66 | Equations (736) can reduce 734 to: % 59.53/24.66 | (233) ~ (e1 = e0) % 59.53/24.66 | % 59.53/24.66 | From (736) and (15) follows: % 59.53/24.66 | (515) op(e1, e2) = e2 % 59.53/24.66 | % 59.53/24.66 | From (736) and (28) follows: % 59.53/24.66 | (740) op(e1, e1) = e1 % 59.53/24.66 | % 59.53/24.66 | From (736) and (42) follows: % 59.53/24.66 | (3221) op(e0, e1) = e0 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.53/24.66 | (323) e4 = e2 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.53/24.66 | (617) e2 = e1 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.53/24.66 | (397) e4 = e0 % 59.53/24.66 | % 59.53/24.66 | Combining equations (323,397) yields a new equation: % 59.53/24.66 | (391) e2 = e0 % 59.53/24.66 | % 59.53/24.66 | Simplifying 391 yields: % 59.53/24.66 | (330) e2 = e0 % 59.53/24.66 | % 59.53/24.66 | Combining equations (617,330) yields a new equation: % 59.53/24.66 | (546) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Simplifying 546 yields: % 59.53/24.66 | (431) e1 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (431) can reduce 233 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (748) ~ (unit = e1) % 59.53/24.66 | (749) unit = e3 % 59.53/24.66 | % 59.53/24.66 | From (749) and (40) follows: % 59.53/24.66 | (3715) op(e3, e3) = e3 % 59.53/24.66 | % 59.53/24.66 | From (749) and (32) follows: % 59.53/24.66 | (5793) op(e2, e3) = e2 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.53/24.66 | (676) e3 = e0 % 59.53/24.66 | % 59.53/24.66 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.53/24.66 | (662) e3 = e2 % 59.53/24.66 | % 59.53/24.66 | Combining equations (676,662) yields a new equation: % 59.53/24.66 | (330) e2 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (330) can reduce 128 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (475) ~ (all_0_51_51 = e4) % 59.53/24.66 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (1294), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (565) all_0_52_52 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (352,565) yields a new equation: % 59.53/24.66 | (323) e4 = e2 % 59.53/24.66 | % 59.53/24.66 | Equations (323) can reduce 48 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (780) ~ (all_0_52_52 = e4) % 59.53/24.66 | (1298) all_0_53_53 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (1298,665) yields a new equation: % 59.53/24.66 | (424) e4 = e3 % 59.53/24.66 | % 59.53/24.66 | Simplifying 424 yields: % 59.53/24.66 | (425) e4 = e3 % 59.53/24.66 | % 59.53/24.66 | Equations (425) can reduce 188 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (1390) ~ (all_0_44_44 = e4) % 59.53/24.66 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (150), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (1378) all_0_40_40 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (1378,485) yields a new equation: % 59.53/24.66 | (481) e4 = e0 % 59.53/24.66 | % 59.53/24.66 | Simplifying 481 yields: % 59.53/24.66 | (397) e4 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (397) can reduce 49 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (447) ~ (all_0_40_40 = e4) % 59.53/24.66 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (164), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (471) all_0_39_39 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (471,317) yields a new equation: % 59.53/24.66 | (322) e4 = e2 % 59.53/24.66 | % 59.53/24.66 | Simplifying 322 yields: % 59.53/24.66 | (323) e4 = e2 % 59.53/24.66 | % 59.53/24.66 | Equations (323) can reduce 48 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (1377) ~ (all_0_39_39 = e4) % 59.53/24.66 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.66 | % 59.53/24.66 | Equations (317) can reduce 1377 to: % 59.53/24.66 | (327) ~ (e4 = e2) % 59.53/24.66 | % 59.53/24.66 | Simplifying 327 yields: % 59.53/24.66 | (48) ~ (e4 = e2) % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (2271), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (446) all_0_44_44 = e4 % 59.53/24.66 | % 59.53/24.66 | Equations (446) can reduce 1390 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (1390) ~ (all_0_44_44 = e4) % 59.53/24.66 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (2115), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (1392) all_0_42_42 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (516,1392) yields a new equation: % 59.53/24.66 | (425) e4 = e3 % 59.53/24.66 | % 59.53/24.66 | Equations (425) can reduce 188 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (1890) ~ (all_0_42_42 = e4) % 59.53/24.66 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (7998), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (974) all_0_49_49 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (583,974) yields a new equation: % 59.53/24.66 | (323) e4 = e2 % 59.53/24.66 | % 59.53/24.66 | Equations (323) can reduce 48 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (256) ~ (all_0_49_49 = e4) % 59.53/24.66 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (2246), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (1790) all_0_47_47 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (654,1790) yields a new equation: % 59.53/24.66 | (630) e4 = e1 % 59.53/24.66 | % 59.53/24.66 | Equations (630) can reduce 110 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (252) ~ (all_0_47_47 = e4) % 59.53/24.66 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.66 | % 59.53/24.66 | Equations (654) can reduce 252 to: % 59.53/24.66 | (602) ~ (e4 = e1) % 59.53/24.66 | % 59.53/24.66 | Simplifying 602 yields: % 59.53/24.66 | (110) ~ (e4 = e1) % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (8013), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (1298) all_0_53_53 = e4 % 59.53/24.66 | % 59.53/24.66 | Equations (1298) can reduce 6 to: % 59.53/24.66 | (475) ~ (all_0_51_51 = e4) % 59.53/24.66 | % 59.53/24.66 | Equations (1298) can reduce 247 to: % 59.53/24.66 | (49) ~ (e4 = e0) % 59.53/24.66 | % 59.53/24.66 +-Applying beta-rule and splitting (6548), into two cases. % 59.53/24.66 |-Branch one: % 59.53/24.66 | (1101) all_0_51_51 = e4 % 59.53/24.66 | % 59.53/24.66 | Equations (1101) can reduce 475 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (475) ~ (all_0_51_51 = e4) % 59.53/24.66 | (842) all_0_56_56 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (679,842) yields a new equation: % 59.53/24.66 | (397) e4 = e0 % 59.53/24.66 | % 59.53/24.66 | Equations (397) can reduce 49 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.66 |-Branch two: % 59.53/24.66 | (1453) ~ (all_0_53_53 = e4) % 59.53/24.66 | (910) all_0_58_58 = e4 % 59.53/24.66 | % 59.53/24.66 | Combining equations (910,918) yields a new equation: % 59.53/24.66 | (636) e4 = e1 % 59.53/24.66 | % 59.53/24.66 | Simplifying 636 yields: % 59.53/24.66 | (630) e4 = e1 % 59.53/24.66 | % 59.53/24.66 | Equations (630) can reduce 110 to: % 59.53/24.66 | (266) $false % 59.53/24.66 | % 59.53/24.66 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (405) ~ (all_0_42_42 = e3) % 59.53/24.67 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (152), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (1392) all_0_42_42 = e4 % 59.53/24.67 | % 59.53/24.67 | Equations (1392) can reduce 405 to: % 59.53/24.67 | (188) ~ (e4 = e3) % 59.53/24.67 | % 59.53/24.67 | From (1392) and (210) follows: % 59.53/24.67 | (4074) op(e3, e2) = e4 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (1899), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (516) all_0_42_42 = e3 % 59.53/24.67 | % 59.53/24.67 | Combining equations (1392,516) yields a new equation: % 59.53/24.67 | (424) e4 = e3 % 59.53/24.67 | % 59.53/24.67 | Simplifying 424 yields: % 59.53/24.67 | (425) e4 = e3 % 59.53/24.67 | % 59.53/24.67 | Equations (425) can reduce 188 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (405) ~ (all_0_42_42 = e3) % 59.53/24.67 | (532) all_0_44_44 = e3 % 59.53/24.67 | % 59.53/24.67 | Equations (532) can reduce 220 to: % 59.53/24.67 | (1114) ~ (all_0_53_53 = e3) % 59.53/24.67 | % 59.53/24.67 | Simplifying 1114 yields: % 59.53/24.67 | (903) ~ (all_0_53_53 = e3) % 59.53/24.67 | % 59.53/24.67 | From (532) and (138) follows: % 59.53/24.67 | (1639) op(e3, e0) = e3 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (418), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (660) all_0_51_51 = e3 % 59.53/24.67 | % 59.53/24.67 | From (660) and (186) follows: % 59.53/24.67 | (1552) op(e1, e2) = e3 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (56), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (696) unit = e2 % 59.53/24.67 | % 59.53/24.67 | From (696) and (209) follows: % 59.53/24.67 | (7585) op(e2, e0) = e0 % 59.53/24.67 | % 59.53/24.67 | From (696) and (227) follows: % 59.53/24.67 | (4284) op(e4, e2) = e4 % 59.53/24.67 | % 59.53/24.67 | From (696) and (40) follows: % 59.53/24.67 | (4285) op(e3, e2) = e3 % 59.53/24.67 | % 59.53/24.67 | From (696) and (28) follows: % 59.53/24.67 | (699) op(e1, e2) = e1 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.53/24.67 | (323) e4 = e2 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.53/24.67 | (425) e4 = e3 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 59.53/24.67 | (330) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.53/24.67 | (455) e3 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (323,425) yields a new equation: % 59.53/24.67 | (662) e3 = e2 % 59.53/24.67 | % 59.53/24.67 | Combining equations (662,455) yields a new equation: % 59.53/24.67 | (616) e2 = e1 % 59.53/24.67 | % 59.53/24.67 | Simplifying 616 yields: % 59.53/24.67 | (617) e2 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (617,330) yields a new equation: % 59.53/24.67 | (546) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 546 yields: % 59.53/24.67 | (431) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (431) can reduce 233 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (707) ~ (unit = e2) % 59.53/24.67 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (708), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (709) unit = e4 % 59.53/24.67 | % 59.53/24.67 | From (709) and (24) follows: % 59.53/24.67 | (33325) op(e4, e3) = e3 % 59.53/24.67 | % 59.53/24.67 | From (709) and (227) follows: % 59.53/24.67 | (710) op(e4, e4) = e4 % 59.53/24.67 | % 59.53/24.67 | From (709) and (42) follows: % 59.53/24.67 | (713) op(e0, e4) = e0 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.53/24.67 | (630) e4 = e1 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.53/24.67 | (425) e4 = e3 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.53/24.67 | (676) e3 = e0 % 59.53/24.67 | % 59.53/24.67 | Combining equations (630,425) yields a new equation: % 59.53/24.67 | (455) e3 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (455,676) yields a new equation: % 59.53/24.67 | (546) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 546 yields: % 59.53/24.67 | (431) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (431) can reduce 233 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (724) ~ (unit = e4) % 59.53/24.67 | (725) unit = e3 | unit = e1 | unit = e0 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (725), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (726) unit = e0 % 59.53/24.67 | % 59.53/24.67 | From (726) and (244) follows: % 59.53/24.67 | (2207) op(e0, e4) = e4 % 59.53/24.67 | % 59.53/24.67 | From (726) and (24) follows: % 59.53/24.67 | (2208) op(e0, e3) = e3 % 59.53/24.67 | % 59.53/24.67 | From (726) and (15) follows: % 59.53/24.67 | (1508) op(e0, e2) = e2 % 59.53/24.67 | % 59.53/24.67 | From (726) and (211) follows: % 59.53/24.67 | (15180) op(e0, e1) = e1 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.53/24.67 | (425) e4 = e3 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.53/24.67 | (662) e3 = e2 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.53/24.67 | (330) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.53/24.67 | (630) e4 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (425,630) yields a new equation: % 59.53/24.67 | (454) e3 = e1 % 59.53/24.67 | % 59.53/24.67 | Simplifying 454 yields: % 59.53/24.67 | (455) e3 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (455,662) yields a new equation: % 59.53/24.67 | (617) e2 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (617,330) yields a new equation: % 59.53/24.67 | (546) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 546 yields: % 59.53/24.67 | (431) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (431) can reduce 233 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (734) ~ (unit = e0) % 59.53/24.67 | (735) unit = e3 | unit = e1 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (735), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (736) unit = e1 % 59.53/24.67 | % 59.53/24.67 | Equations (736) can reduce 734 to: % 59.53/24.67 | (233) ~ (e1 = e0) % 59.53/24.67 | % 59.53/24.67 | From (736) and (24) follows: % 59.53/24.67 | (1934) op(e1, e3) = e3 % 59.53/24.67 | % 59.53/24.67 | From (736) and (15) follows: % 59.53/24.67 | (515) op(e1, e2) = e2 % 59.53/24.67 | % 59.53/24.67 | From (736) and (32) follows: % 59.53/24.67 | (347) op(e2, e1) = e2 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 59.53/24.67 | (330) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.53/24.67 | (455) e3 = e1 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.53/24.67 | (662) e3 = e2 % 59.53/24.67 | % 59.53/24.67 | Combining equations (662,455) yields a new equation: % 59.53/24.67 | (616) e2 = e1 % 59.53/24.67 | % 59.53/24.67 | Simplifying 616 yields: % 59.53/24.67 | (617) e2 = e1 % 59.53/24.67 | % 59.53/24.67 | Combining equations (617,330) yields a new equation: % 59.53/24.67 | (546) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 546 yields: % 59.53/24.67 | (431) e1 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (431) can reduce 233 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (748) ~ (unit = e1) % 59.53/24.67 | (749) unit = e3 % 59.53/24.67 | % 59.53/24.67 | From (749) and (209) follows: % 59.53/24.67 | (1667) op(e3, e0) = e0 % 59.53/24.67 | % 59.53/24.67 | From (749) and (32) follows: % 59.53/24.67 | (5793) op(e2, e3) = e2 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.53/24.67 | (676) e3 = e0 % 59.53/24.67 | % 59.53/24.67 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.53/24.67 | (662) e3 = e2 % 59.53/24.67 | % 59.53/24.67 | Combining equations (662,676) yields a new equation: % 59.53/24.67 | (391) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 391 yields: % 59.53/24.67 | (330) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (330) can reduce 128 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (664) ~ (all_0_51_51 = e3) % 59.53/24.67 | (665) all_0_53_53 = e3 % 59.53/24.67 | % 59.53/24.67 | Equations (665) can reduce 903 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (1890) ~ (all_0_42_42 = e4) % 59.53/24.67 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (1969), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (559) all_0_42_42 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (559) can reduce 358 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (358) ~ (all_0_42_42 = e0) % 59.53/24.67 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (2510), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (459) all_0_42_42 = e1 % 59.53/24.67 | % 59.53/24.67 | Equations (459) can reduce 1380 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (1380) ~ (all_0_42_42 = e1) % 59.53/24.67 | (516) all_0_42_42 = e3 % 59.53/24.67 | % 59.53/24.67 | Equations (516) can reduce 405 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (433) ~ (all_0_43_43 = e1) % 59.53/24.67 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (6374), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (356) all_0_43_43 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (356) can reduce 5470 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (5470) ~ (all_0_43_43 = e0) % 59.53/24.67 | (430) all_0_43_43 = e1 % 59.53/24.67 | % 59.53/24.67 | Equations (430) can reduce 433 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (828) ~ (all_0_56_56 = e0) % 59.53/24.67 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (924), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (875) all_0_57_57 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (875) can reduce 364 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (364) ~ (all_0_57_57 = e0) % 59.53/24.67 | (914) all_0_58_58 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (914) can reduce 491 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (759) ~ (all_0_50_50 = e1) % 59.53/24.67 | (415) all_0_50_50 = e3 % 59.53/24.67 | % 59.53/24.67 | Equations (415) can reduce 411 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (357) ~ (all_0_41_41 = e0) % 59.53/24.67 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.53/24.67 | % 59.53/24.67 +-Applying beta-rule and splitting (895), into two cases. % 59.53/24.67 |-Branch one: % 59.53/24.67 | (538) all_0_46_46 = e0 % 59.53/24.67 | % 59.53/24.67 | Combining equations (538,1557) yields a new equation: % 59.53/24.67 | (676) e3 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (676) can reduce 80 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (831) ~ (all_0_46_46 = e0) % 59.53/24.67 | (858) all_0_55_55 = e0 % 59.53/24.67 | % 59.53/24.67 | Combining equations (386,858) yields a new equation: % 59.53/24.67 | (391) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 391 yields: % 59.53/24.67 | (330) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (330) can reduce 128 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (1283) ~ (all_0_48_48 = e0) % 59.53/24.67 | (978) all_0_49_49 = e0 % 59.53/24.67 | % 59.53/24.67 | Combining equations (583,978) yields a new equation: % 59.53/24.67 | (391) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Simplifying 391 yields: % 59.53/24.67 | (330) e2 = e0 % 59.53/24.67 | % 59.53/24.67 | Equations (330) can reduce 128 to: % 59.53/24.67 | (266) $false % 59.53/24.67 | % 59.53/24.67 |-The branch is then unsatisfiable % 59.53/24.67 |-Branch two: % 59.53/24.67 | (409) ~ (all_0_46_46 = e3) % 59.53/24.67 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.53/24.67 | % 59.53/24.68 +-Applying beta-rule and splitting (1561), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (522) all_0_47_47 = e3 % 59.53/24.68 | % 59.53/24.68 | Combining equations (654,522) yields a new equation: % 59.53/24.68 | (455) e3 = e1 % 59.53/24.68 | % 59.53/24.68 | Equations (455) can reduce 213 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (1091) ~ (all_0_47_47 = e3) % 59.53/24.68 | (884) all_0_49_49 = e3 % 59.53/24.68 | % 59.53/24.68 | Combining equations (583,884) yields a new equation: % 59.53/24.68 | (662) e3 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (662) can reduce 212 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.53/24.68 | % 59.53/24.68 | Applying alpha-rule on (819) yields: % 59.53/24.68 | (674) all_0_47_47 = e0 % 59.53/24.68 | (624) all_0_58_58 = e2 % 59.53/24.68 | (340) ~ (all_0_49_49 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 908 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.53/24.68 | % 59.53/24.68 | Applying alpha-rule on (825) yields: % 59.53/24.68 | (674) all_0_47_47 = e0 % 59.53/24.68 | (624) all_0_58_58 = e2 % 59.53/24.68 | (828) ~ (all_0_56_56 = e0) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 908 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (340) ~ (all_0_49_49 = e2) % 59.53/24.68 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (10171), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (1105) all_0_47_47 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (1105) can reduce 338 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (338) ~ (all_0_47_47 = e2) % 59.53/24.68 | (10761) all_0_48_48 = e2 | all_0_49_49 = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (10761), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (335) all_0_48_48 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (335) can reduce 810 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (810) ~ (all_0_48_48 = e2) % 59.53/24.68 | (583) all_0_49_49 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (583) can reduce 340 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (304) ~ (all_0_55_55 = e2) % 59.53/24.68 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (117), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (292) all_0_38_38 = e2 % 59.53/24.68 | % 59.53/24.68 | Combining equations (292,321) yields a new equation: % 59.53/24.68 | (323) e4 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (323) can reduce 48 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (9600) ~ (all_0_38_38 = e2) % 59.53/24.68 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (24424), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (1794) all_0_46_46 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (1794) can reduce 43 to: % 59.53/24.68 | (85) ~ (all_0_41_41 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (1794) can reduce 19 to: % 59.53/24.68 | (22180) ~ (all_0_47_47 = e2) % 59.53/24.68 | % 59.53/24.68 | Simplifying 22180 yields: % 59.53/24.68 | (338) ~ (all_0_47_47 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (1794) can reduce 30 to: % 59.53/24.68 | (12342) ~ (all_0_48_48 = e2) % 59.53/24.68 | % 59.53/24.68 | Simplifying 12342 yields: % 59.53/24.68 | (810) ~ (all_0_48_48 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (1794) can reduce 208 to: % 59.53/24.68 | (339) ~ (all_0_49_49 = e2) % 59.53/24.68 | % 59.53/24.68 | Simplifying 339 yields: % 59.53/24.68 | (340) ~ (all_0_49_49 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (1794) can reduce 35 to: % 59.53/24.68 | (301) ~ (all_0_50_50 = e2) % 59.53/24.68 | % 59.53/24.68 | Simplifying 301 yields: % 59.53/24.68 | (302) ~ (all_0_50_50 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (1794) can reduce 250 to: % 59.53/24.68 | (327) ~ (e4 = e2) % 59.53/24.68 | % 59.53/24.68 | Simplifying 327 yields: % 59.53/24.68 | (48) ~ (e4 = e2) % 59.53/24.68 | % 59.53/24.68 | From (1794) and (120) follows: % 59.53/24.68 | (5793) op(e2, e3) = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (158), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (313) all_0_40_40 = e2 % 59.53/24.68 | % 59.53/24.68 | Combining equations (485,313) yields a new equation: % 59.53/24.68 | (330) e2 = e0 % 59.53/24.68 | % 59.53/24.68 | Equations (330) can reduce 128 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (296) ~ (all_0_40_40 = e2) % 59.53/24.68 | (377) all_0_49_49 = e2 | all_0_53_53 = e2 | all_0_58_58 = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (377), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (583) all_0_49_49 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (583) can reduce 340 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (340) ~ (all_0_49_49 = e2) % 59.53/24.68 | (614) all_0_53_53 = e2 | all_0_58_58 = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (614), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (607) all_0_53_53 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (607) can reduce 509 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (509) ~ (all_0_53_53 = e2) % 59.53/24.68 | (624) all_0_58_58 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 181 to: % 59.53/24.68 | (147) ~ (all_0_44_44 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 119 to: % 59.53/24.68 | (340) ~ (all_0_49_49 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 10 to: % 59.53/24.68 | (509) ~ (all_0_53_53 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 3 to: % 59.53/24.68 | (304) ~ (all_0_55_55 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 44 to: % 59.53/24.68 | (511) ~ (all_0_56_56 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 148 to: % 59.53/24.68 | (344) ~ (all_0_57_57 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 276 to: % 59.53/24.68 | (626) ~ (e3 = e2) % 59.53/24.68 | % 59.53/24.68 | Simplifying 626 yields: % 59.53/24.68 | (212) ~ (e3 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (624) can reduce 491 to: % 59.53/24.68 | (128) ~ (e2 = e0) % 59.53/24.68 | % 59.53/24.68 | From (624) and (245) follows: % 59.53/24.68 | (628) op(e0, e0) = e2 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (195), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (396) all_0_43_43 = e4 % 59.53/24.68 | % 59.53/24.68 | Equations (396) can reduce 31 to: % 59.53/24.68 | (440) ~ (all_0_41_41 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (396) can reduce 240 to: % 59.53/24.68 | (1890) ~ (all_0_42_42 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (396) can reduce 159 to: % 59.53/24.68 | (1903) ~ (all_0_44_44 = e4) % 59.53/24.68 | % 59.53/24.68 | Simplifying 1903 yields: % 59.53/24.68 | (1390) ~ (all_0_44_44 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (396) can reduce 17 to: % 59.53/24.68 | (253) ~ (all_0_48_48 = e4) % 59.53/24.68 | % 59.53/24.68 | Simplifying 253 yields: % 59.53/24.68 | (254) ~ (all_0_48_48 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (396) can reduce 99 to: % 59.53/24.68 | (188) ~ (e4 = e3) % 59.53/24.68 | % 59.53/24.68 | Equations (396) can reduce 96 to: % 59.53/24.68 | (48) ~ (e4 = e2) % 59.53/24.68 | % 59.53/24.68 | From (396) and (37) follows: % 59.53/24.68 | (5492) op(e3, e1) = e4 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (150), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (1378) all_0_40_40 = e4 % 59.53/24.68 | % 59.53/24.68 | Combining equations (485,1378) yields a new equation: % 59.53/24.68 | (397) e4 = e0 % 59.53/24.68 | % 59.53/24.68 | Equations (397) can reduce 49 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (447) ~ (all_0_40_40 = e4) % 59.53/24.68 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (2271), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (446) all_0_44_44 = e4 % 59.53/24.68 | % 59.53/24.68 | Equations (446) can reduce 1390 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (1390) ~ (all_0_44_44 = e4) % 59.53/24.68 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (7998), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (974) all_0_49_49 = e4 % 59.53/24.68 | % 59.53/24.68 | Equations (974) can reduce 256 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (256) ~ (all_0_49_49 = e4) % 59.53/24.68 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (8013), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (1298) all_0_53_53 = e4 % 59.53/24.68 | % 59.53/24.68 | Equations (1298) can reduce 220 to: % 59.53/24.68 | (1390) ~ (all_0_44_44 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (1298) can reduce 65 to: % 59.53/24.68 | (256) ~ (all_0_49_49 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (1298) can reduce 190 to: % 59.53/24.68 | (566) ~ (all_0_50_50 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (1298) can reduce 6 to: % 59.53/24.68 | (475) ~ (all_0_51_51 = e4) % 59.53/24.68 | % 59.53/24.68 | Equations (1298) can reduce 509 to: % 59.53/24.68 | (48) ~ (e4 = e2) % 59.53/24.68 | % 59.53/24.68 | Equations (1298) can reduce 247 to: % 59.53/24.68 | (49) ~ (e4 = e0) % 59.53/24.68 | % 59.53/24.68 | From (1298) and (84) follows: % 59.53/24.68 | (5692) op(e1, e0) = e4 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (171), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (265) all_0_54_54 = e4 % 59.53/24.68 | % 59.53/24.68 | Combining equations (268,265) yields a new equation: % 59.53/24.68 | (425) e4 = e3 % 59.53/24.68 | % 59.53/24.68 | Equations (425) can reduce 188 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (258) ~ (all_0_54_54 = e4) % 59.53/24.68 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.53/24.68 | % 59.53/24.68 +-Applying beta-rule and splitting (164), into two cases. % 59.53/24.68 |-Branch one: % 59.53/24.68 | (471) all_0_39_39 = e4 % 59.53/24.68 | % 59.53/24.68 | Combining equations (471,317) yields a new equation: % 59.53/24.68 | (322) e4 = e2 % 59.53/24.68 | % 59.53/24.68 | Simplifying 322 yields: % 59.53/24.68 | (323) e4 = e2 % 59.53/24.68 | % 59.53/24.68 | Equations (323) can reduce 48 to: % 59.53/24.68 | (266) $false % 59.53/24.68 | % 59.53/24.68 |-The branch is then unsatisfiable % 59.53/24.68 |-Branch two: % 59.53/24.68 | (1377) ~ (all_0_39_39 = e4) % 59.53/24.69 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (2115), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (1392) all_0_42_42 = e4 % 59.53/24.69 | % 59.53/24.69 | Equations (1392) can reduce 1890 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (1890) ~ (all_0_42_42 = e4) % 59.53/24.69 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (575), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (587) all_0_55_55 = e4 % 59.53/24.69 | % 59.53/24.69 | Equations (587) can reduce 763 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (763) ~ (all_0_55_55 = e4) % 59.53/24.69 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (2246), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (1790) all_0_47_47 = e4 % 59.53/24.69 | % 59.53/24.69 | Equations (1790) can reduce 252 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (252) ~ (all_0_47_47 = e4) % 59.53/24.69 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (764), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (842) all_0_56_56 = e4 % 59.53/24.69 | % 59.53/24.69 | Equations (842) can reduce 236 to: % 59.53/24.69 | (1890) ~ (all_0_42_42 = e4) % 59.53/24.69 | % 59.53/24.69 | Equations (842) can reduce 91 to: % 59.53/24.69 | (252) ~ (all_0_47_47 = e4) % 59.53/24.69 | % 59.53/24.69 | Equations (842) can reduce 16 to: % 59.53/24.69 | (475) ~ (all_0_51_51 = e4) % 59.53/24.69 | % 59.53/24.69 | Equations (842) can reduce 140 to: % 59.53/24.69 | (838) ~ (all_0_57_57 = e4) % 59.53/24.69 | % 59.53/24.69 | Simplifying 838 yields: % 59.53/24.69 | (839) ~ (all_0_57_57 = e4) % 59.53/24.69 | % 59.53/24.69 | Equations (842) can reduce 272 to: % 59.53/24.69 | (188) ~ (e4 = e3) % 59.53/24.69 | % 59.53/24.69 | Equations (842) can reduce 511 to: % 59.53/24.69 | (48) ~ (e4 = e2) % 59.53/24.69 | % 59.53/24.69 | From (842) and (111) follows: % 59.53/24.69 | (2154) op(e0, e2) = e4 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (4), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (356) all_0_43_43 = e0 % 59.53/24.69 | % 59.53/24.69 | Combining equations (396,356) yields a new equation: % 59.53/24.69 | (481) e4 = e0 % 59.53/24.69 | % 59.53/24.69 | Simplifying 481 yields: % 59.53/24.69 | (397) e4 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (397) can reduce 49 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (5470) ~ (all_0_43_43 = e0) % 59.53/24.69 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (396) can reduce 5470 to: % 59.53/24.69 | (49) ~ (e4 = e0) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (168), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (415) all_0_50_50 = e3 % 59.53/24.69 | % 59.53/24.69 | Equations (415) can reduce 221 to: % 59.53/24.69 | (1898) ~ (all_0_41_41 = e3) % 59.53/24.69 | % 59.53/24.69 | Equations (415) can reduce 302 to: % 59.53/24.69 | (212) ~ (e3 = e2) % 59.53/24.69 | % 59.53/24.69 | From (415) and (242) follows: % 59.53/24.69 | (1934) op(e1, e3) = e3 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (160), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (601) all_0_50_50 = e1 % 59.53/24.69 | % 59.53/24.69 | Combining equations (415,601) yields a new equation: % 59.53/24.69 | (454) e3 = e1 % 59.53/24.69 | % 59.53/24.69 | Simplifying 454 yields: % 59.53/24.69 | (455) e3 = e1 % 59.53/24.69 | % 59.53/24.69 | Equations (455) can reduce 213 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (759) ~ (all_0_50_50 = e1) % 59.53/24.69 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (1168), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (1109) all_0_51_51 = e1 % 59.53/24.69 | % 59.53/24.69 | Equations (1109) can reduce 224 to: % 59.53/24.69 | (462) ~ (all_0_47_47 = e1) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (163), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (565) all_0_52_52 = e4 % 59.53/24.69 | % 59.53/24.69 | Combining equations (352,565) yields a new equation: % 59.53/24.69 | (323) e4 = e2 % 59.53/24.69 | % 59.53/24.69 | Equations (323) can reduce 48 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (780) ~ (all_0_52_52 = e4) % 59.53/24.69 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (781), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (789), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (790), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (791), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (792), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.53/24.69 | % 59.53/24.69 | Applying alpha-rule on (793) yields: % 59.53/24.69 | (794) all_0_41_41 = e0 % 59.53/24.69 | (795) all_0_58_58 = e3 % 59.53/24.69 | (407) ~ (all_0_44_44 = e3) % 59.53/24.69 | % 59.53/24.69 | Combining equations (624,795) yields a new equation: % 59.53/24.69 | (662) e3 = e2 % 59.53/24.69 | % 59.53/24.69 | Equations (662) can reduce 212 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.53/24.69 | % 59.53/24.69 | Applying alpha-rule on (800) yields: % 59.53/24.69 | (794) all_0_41_41 = e0 % 59.53/24.69 | (795) all_0_58_58 = e3 % 59.53/24.69 | (803) ~ (all_0_55_55 = e0) % 59.53/24.69 | % 59.53/24.69 | Combining equations (624,795) yields a new equation: % 59.53/24.69 | (662) e3 = e2 % 59.53/24.69 | % 59.53/24.69 | Equations (662) can reduce 212 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.53/24.69 | % 59.53/24.69 | Applying alpha-rule on (807) yields: % 59.53/24.69 | (654) all_0_47_47 = e1 % 59.53/24.69 | (352) all_0_52_52 = e2 % 59.53/24.69 | (810) ~ (all_0_48_48 = e2) % 59.53/24.69 | % 59.53/24.69 | Equations (654) can reduce 462 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.53/24.69 | % 59.53/24.69 | Applying alpha-rule on (813) yields: % 59.53/24.69 | (654) all_0_47_47 = e1 % 59.53/24.69 | (352) all_0_52_52 = e2 % 59.53/24.69 | (464) ~ (all_0_51_51 = e1) % 59.53/24.69 | % 59.53/24.69 | Equations (1109) can reduce 464 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.53/24.69 | % 59.53/24.69 | Applying alpha-rule on (819) yields: % 59.53/24.69 | (674) all_0_47_47 = e0 % 59.53/24.69 | (624) all_0_58_58 = e2 % 59.53/24.69 | (340) ~ (all_0_49_49 = e2) % 59.53/24.69 | % 59.53/24.69 | Equations (674) can reduce 198 to: % 59.53/24.69 | (358) ~ (all_0_42_42 = e0) % 59.53/24.69 | % 59.53/24.69 | Equations (674) can reduce 114 to: % 59.53/24.69 | (10200) ~ (all_0_48_48 = e0) % 59.53/24.69 | % 59.53/24.69 | Simplifying 10200 yields: % 59.53/24.69 | (1283) ~ (all_0_48_48 = e0) % 59.53/24.69 | % 59.53/24.69 | Equations (674) can reduce 252 to: % 59.53/24.69 | (401) ~ (e4 = e0) % 59.53/24.69 | % 59.53/24.69 | Simplifying 401 yields: % 59.53/24.69 | (49) ~ (e4 = e0) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (180), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (516) all_0_42_42 = e3 % 59.53/24.69 | % 59.53/24.69 | Equations (516) can reduce 73 to: % 59.53/24.69 | (406) ~ (all_0_44_44 = e3) % 59.53/24.69 | % 59.53/24.69 | Simplifying 406 yields: % 59.53/24.69 | (407) ~ (all_0_44_44 = e3) % 59.53/24.69 | % 59.53/24.69 | Equations (516) can reduce 1890 to: % 59.53/24.69 | (277) ~ (e4 = e3) % 59.53/24.69 | % 59.53/24.69 | Simplifying 277 yields: % 59.53/24.69 | (188) ~ (e4 = e3) % 59.53/24.69 | % 59.53/24.69 | Equations (516) can reduce 51 to: % 59.53/24.69 | (212) ~ (e3 = e2) % 59.53/24.69 | % 59.53/24.69 | Equations (516) can reduce 358 to: % 59.53/24.69 | (80) ~ (e3 = e0) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (228), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (335) all_0_48_48 = e2 % 59.53/24.69 | % 59.53/24.69 | Equations (335) can reduce 810 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (810) ~ (all_0_48_48 = e2) % 59.53/24.69 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (165), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (794) all_0_41_41 = e0 % 59.53/24.69 | % 59.53/24.69 | From (794) and (219) follows: % 59.53/24.69 | (5573) op(e3, e3) = e0 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (189), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (532) all_0_44_44 = e3 % 59.53/24.69 | % 59.53/24.69 | Equations (532) can reduce 407 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (407) ~ (all_0_44_44 = e3) % 59.53/24.69 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (78), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (423) all_0_45_45 = e3 % 59.53/24.69 | % 59.53/24.69 | Combining equations (423,248) yields a new equation: % 59.53/24.69 | (425) e4 = e3 % 59.53/24.69 | % 59.53/24.69 | Equations (425) can reduce 188 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (427) ~ (all_0_45_45 = e3) % 59.53/24.69 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.53/24.69 | % 59.53/24.69 | Equations (248) can reduce 427 to: % 59.53/24.69 | (188) ~ (e4 = e3) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (5471), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (1279) all_0_48_48 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (1279) can reduce 1283 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (1283) ~ (all_0_48_48 = e0) % 59.53/24.69 | (875) all_0_57_57 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (875) can reduce 239 to: % 59.53/24.69 | (1283) ~ (all_0_48_48 = e0) % 59.53/24.69 | % 59.53/24.69 | Equations (875) can reduce 344 to: % 59.53/24.69 | (365) ~ (e2 = e0) % 59.53/24.69 | % 59.53/24.69 | Simplifying 365 yields: % 59.53/24.69 | (128) ~ (e2 = e0) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (537), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (884) all_0_49_49 = e3 % 59.53/24.69 | % 59.53/24.69 | From (884) and (55) follows: % 59.53/24.69 | (1581) op(e2, e0) = e3 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (10218), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (943) all_0_48_48 = e4 % 59.53/24.69 | % 59.53/24.69 | Equations (943) can reduce 254 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (254) ~ (all_0_48_48 = e4) % 59.53/24.69 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (10222), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (1279) all_0_48_48 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (1279) can reduce 1283 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (1283) ~ (all_0_48_48 = e0) % 59.53/24.69 | (615) all_0_48_48 = e1 % 59.53/24.69 | % 59.53/24.69 | Equations (615) can reduce 1283 to: % 59.53/24.69 | (233) ~ (e1 = e0) % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (56), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (696) unit = e2 % 59.53/24.69 | % 59.53/24.69 | From (696) and (24) follows: % 59.53/24.69 | (697) op(e2, e3) = e3 % 59.53/24.69 | % 59.53/24.69 | From (696) and (209) follows: % 59.53/24.69 | (7585) op(e2, e0) = e0 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.53/24.69 | (662) e3 = e2 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.53/24.69 | (676) e3 = e0 % 59.53/24.69 | % 59.53/24.69 | Combining equations (676,662) yields a new equation: % 59.53/24.69 | (330) e2 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (330) can reduce 128 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (707) ~ (unit = e2) % 59.53/24.69 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (708), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (709) unit = e4 % 59.53/24.69 | % 59.53/24.69 | From (709) and (24) follows: % 59.53/24.69 | (33325) op(e4, e3) = e3 % 59.53/24.69 | % 59.53/24.69 | From (709) and (227) follows: % 59.53/24.69 | (710) op(e4, e4) = e4 % 59.53/24.69 | % 59.53/24.69 | From (709) and (42) follows: % 59.53/24.69 | (713) op(e0, e4) = e0 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.53/24.69 | (630) e4 = e1 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.53/24.69 | (425) e4 = e3 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.53/24.69 | (676) e3 = e0 % 59.53/24.69 | % 59.53/24.69 | Combining equations (630,425) yields a new equation: % 59.53/24.69 | (455) e3 = e1 % 59.53/24.69 | % 59.53/24.69 | Combining equations (455,676) yields a new equation: % 59.53/24.69 | (546) e1 = e0 % 59.53/24.69 | % 59.53/24.69 | Simplifying 546 yields: % 59.53/24.69 | (431) e1 = e0 % 59.53/24.69 | % 59.53/24.69 | Equations (431) can reduce 233 to: % 59.53/24.69 | (266) $false % 59.53/24.69 | % 59.53/24.69 |-The branch is then unsatisfiable % 59.53/24.69 |-Branch two: % 59.53/24.69 | (724) ~ (unit = e4) % 59.53/24.69 | (725) unit = e3 | unit = e1 | unit = e0 % 59.53/24.69 | % 59.53/24.69 +-Applying beta-rule and splitting (725), into two cases. % 59.53/24.69 |-Branch one: % 59.53/24.69 | (726) unit = e0 % 59.53/24.69 | % 59.53/24.69 | From (726) and (244) follows: % 59.53/24.69 | (2207) op(e0, e4) = e4 % 59.53/24.69 | % 59.53/24.69 | From (726) and (32) follows: % 59.53/24.69 | (727) op(e2, e0) = e2 % 59.53/24.69 | % 59.53/24.69 | From (726) and (28) follows: % 59.53/24.69 | (2698) op(e1, e0) = e1 % 59.53/24.69 | % 59.53/24.69 | From (726) and (42) follows: % 59.53/24.69 | (728) op(e0, e0) = e0 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.53/24.69 | (662) e3 = e2 % 59.53/24.69 | % 59.53/24.69 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 59.53/24.70 | (630) e4 = e1 % 59.53/24.70 | % 59.53/24.70 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.53/24.70 | (425) e4 = e3 % 59.53/24.70 | % 59.53/24.70 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.53/24.70 | (330) e2 = e0 % 59.53/24.70 | % 59.53/24.70 | Combining equations (425,630) yields a new equation: % 59.53/24.70 | (454) e3 = e1 % 59.53/24.70 | % 59.53/24.70 | Simplifying 454 yields: % 59.53/24.70 | (455) e3 = e1 % 59.53/24.70 | % 59.53/24.70 | Combining equations (455,662) yields a new equation: % 59.53/24.70 | (617) e2 = e1 % 59.53/24.70 | % 59.53/24.70 | Combining equations (330,617) yields a new equation: % 59.53/24.70 | (431) e1 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (431) can reduce 233 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (734) ~ (unit = e0) % 59.53/24.70 | (735) unit = e3 | unit = e1 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (735), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (736) unit = e1 % 59.53/24.70 | % 59.53/24.70 | Equations (736) can reduce 707 to: % 59.53/24.70 | (604) ~ (e2 = e1) % 59.53/24.70 | % 59.53/24.70 | Simplifying 604 yields: % 59.53/24.70 | (122) ~ (e2 = e1) % 59.53/24.70 | % 59.53/24.70 | From (736) and (28) follows: % 59.53/24.70 | (740) op(e1, e1) = e1 % 59.53/24.70 | % 59.53/24.70 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.53/24.70 | (617) e2 = e1 % 59.53/24.70 | % 59.53/24.70 | Equations (617) can reduce 122 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (748) ~ (unit = e1) % 59.53/24.70 | (749) unit = e3 % 59.53/24.70 | % 59.53/24.70 | From (749) and (40) follows: % 59.53/24.70 | (3715) op(e3, e3) = e3 % 59.53/24.70 | % 59.53/24.70 | From (749) and (28) follows: % 59.53/24.70 | (2235) op(e1, e3) = e1 % 59.53/24.70 | % 59.53/24.70 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.53/24.70 | (676) e3 = e0 % 59.53/24.70 | % 59.53/24.70 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.53/24.70 | (455) e3 = e1 % 59.53/24.70 | % 59.53/24.70 | Combining equations (676,455) yields a new equation: % 59.53/24.70 | (431) e1 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (431) can reduce 233 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (525) ~ (all_0_49_49 = e3) % 59.53/24.70 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (887), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (665) all_0_53_53 = e3 % 59.53/24.70 | % 59.53/24.70 | Combining equations (1298,665) yields a new equation: % 59.53/24.70 | (424) e4 = e3 % 59.53/24.70 | % 59.53/24.70 | Simplifying 424 yields: % 59.53/24.70 | (425) e4 = e3 % 59.53/24.70 | % 59.53/24.70 | Equations (425) can reduce 188 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (903) ~ (all_0_53_53 = e3) % 59.53/24.70 | (795) all_0_58_58 = e3 % 59.53/24.70 | % 59.53/24.70 | Combining equations (795,624) yields a new equation: % 59.53/24.70 | (661) e3 = e2 % 59.53/24.70 | % 59.53/24.70 | Simplifying 661 yields: % 59.53/24.70 | (662) e3 = e2 % 59.53/24.70 | % 59.53/24.70 | Equations (662) can reduce 212 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (357) ~ (all_0_41_41 = e0) % 59.53/24.70 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (26), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (446) all_0_44_44 = e4 % 59.53/24.70 | % 59.53/24.70 | Equations (446) can reduce 1390 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (1390) ~ (all_0_44_44 = e4) % 59.53/24.70 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (6761), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (559) all_0_42_42 = e0 % 59.53/24.70 | % 59.53/24.70 | Combining equations (559,516) yields a new equation: % 59.53/24.70 | (676) e3 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (676) can reduce 80 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (358) ~ (all_0_42_42 = e0) % 59.53/24.70 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (1391), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (1414) all_0_44_44 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (1414) can reduce 360 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (360) ~ (all_0_44_44 = e0) % 59.53/24.70 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (243), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (329) all_0_38_38 = e0 % 59.53/24.70 | % 59.53/24.70 | Combining equations (329,321) yields a new equation: % 59.53/24.70 | (397) e4 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (397) can reduce 49 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (332) ~ (all_0_38_38 = e0) % 59.53/24.70 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (321) can reduce 332 to: % 59.53/24.70 | (49) ~ (e4 = e0) % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (6766), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (356) all_0_43_43 = e0 % 59.53/24.70 | % 59.53/24.70 | Combining equations (356,396) yields a new equation: % 59.53/24.70 | (397) e4 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (397) can reduce 49 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (5470) ~ (all_0_43_43 = e0) % 59.53/24.70 | (1414) all_0_44_44 = e0 % 59.53/24.70 | % 59.53/24.70 | Equations (1414) can reduce 360 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (405) ~ (all_0_42_42 = e3) % 59.53/24.70 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (113), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (403) all_0_41_41 = e3 % 59.53/24.70 | % 59.53/24.70 | Equations (403) can reduce 1898 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (1898) ~ (all_0_41_41 = e3) % 59.53/24.70 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (1899), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (516) all_0_42_42 = e3 % 59.53/24.70 | % 59.53/24.70 | Equations (516) can reduce 405 to: % 59.53/24.70 | (266) $false % 59.53/24.70 | % 59.53/24.70 |-The branch is then unsatisfiable % 59.53/24.70 |-Branch two: % 59.53/24.70 | (405) ~ (all_0_42_42 = e3) % 59.53/24.70 | (532) all_0_44_44 = e3 % 59.53/24.70 | % 59.53/24.70 | Equations (532) can reduce 9 to: % 59.53/24.70 | (524) ~ (all_0_49_49 = e3) % 59.53/24.70 | % 59.53/24.70 | Simplifying 524 yields: % 59.53/24.70 | (525) ~ (all_0_49_49 = e3) % 59.53/24.70 | % 59.53/24.70 | Equations (532) can reduce 1390 to: % 59.53/24.70 | (277) ~ (e4 = e3) % 59.53/24.70 | % 59.53/24.70 | Simplifying 277 yields: % 59.53/24.70 | (188) ~ (e4 = e3) % 59.53/24.70 | % 59.53/24.70 | Equations (532) can reduce 147 to: % 59.53/24.70 | (212) ~ (e3 = e2) % 59.53/24.70 | % 59.53/24.70 | Equations (532) can reduce 360 to: % 59.53/24.70 | (80) ~ (e3 = e0) % 59.53/24.70 | % 59.53/24.70 +-Applying beta-rule and splitting (78), into two cases. % 59.53/24.70 |-Branch one: % 59.53/24.70 | (423) all_0_45_45 = e3 % 59.53/24.70 | % 59.57/24.70 | Combining equations (423,248) yields a new equation: % 59.57/24.70 | (425) e4 = e3 % 59.57/24.70 | % 59.57/24.70 | Equations (425) can reduce 188 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (427) ~ (all_0_45_45 = e3) % 59.57/24.70 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (428), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (1557) all_0_46_46 = e3 % 59.57/24.70 | % 59.57/24.70 | Combining equations (1557,1794) yields a new equation: % 59.57/24.70 | (661) e3 = e2 % 59.57/24.70 | % 59.57/24.70 | Simplifying 661 yields: % 59.57/24.70 | (662) e3 = e2 % 59.57/24.70 | % 59.57/24.70 | Equations (662) can reduce 212 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (409) ~ (all_0_46_46 = e3) % 59.57/24.70 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (1561), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (522) all_0_47_47 = e3 % 59.57/24.70 | % 59.57/24.70 | Combining equations (674,522) yields a new equation: % 59.57/24.70 | (676) e3 = e0 % 59.57/24.70 | % 59.57/24.70 | Equations (676) can reduce 80 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (1091) ~ (all_0_47_47 = e3) % 59.57/24.70 | (884) all_0_49_49 = e3 % 59.57/24.70 | % 59.57/24.70 | Equations (884) can reduce 525 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.57/24.70 | % 59.57/24.70 | Applying alpha-rule on (825) yields: % 59.57/24.70 | (674) all_0_47_47 = e0 % 59.57/24.70 | (624) all_0_58_58 = e2 % 59.57/24.70 | (828) ~ (all_0_56_56 = e0) % 59.57/24.70 | % 59.57/24.70 | Equations (674) can reduce 198 to: % 59.57/24.70 | (358) ~ (all_0_42_42 = e0) % 59.57/24.70 | % 59.57/24.70 | Equations (674) can reduce 114 to: % 59.57/24.70 | (10200) ~ (all_0_48_48 = e0) % 59.57/24.70 | % 59.57/24.70 | Simplifying 10200 yields: % 59.57/24.70 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.70 | % 59.57/24.70 | Equations (842) can reduce 828 to: % 59.57/24.70 | (49) ~ (e4 = e0) % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (180), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (516) all_0_42_42 = e3 % 59.57/24.70 | % 59.57/24.70 | Equations (516) can reduce 73 to: % 59.57/24.70 | (406) ~ (all_0_44_44 = e3) % 59.57/24.70 | % 59.57/24.70 | Simplifying 406 yields: % 59.57/24.70 | (407) ~ (all_0_44_44 = e3) % 59.57/24.70 | % 59.57/24.70 | Equations (516) can reduce 1890 to: % 59.57/24.70 | (277) ~ (e4 = e3) % 59.57/24.70 | % 59.57/24.70 | Simplifying 277 yields: % 59.57/24.70 | (188) ~ (e4 = e3) % 59.57/24.70 | % 59.57/24.70 | Equations (516) can reduce 51 to: % 59.57/24.70 | (212) ~ (e3 = e2) % 59.57/24.70 | % 59.57/24.70 | Equations (516) can reduce 358 to: % 59.57/24.70 | (80) ~ (e3 = e0) % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (228), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (335) all_0_48_48 = e2 % 59.57/24.70 | % 59.57/24.70 | Equations (335) can reduce 810 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (810) ~ (all_0_48_48 = e2) % 59.57/24.70 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (165), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (794) all_0_41_41 = e0 % 59.57/24.70 | % 59.57/24.70 | From (794) and (219) follows: % 59.57/24.70 | (5573) op(e3, e3) = e0 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (189), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (532) all_0_44_44 = e3 % 59.57/24.70 | % 59.57/24.70 | Equations (532) can reduce 407 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (407) ~ (all_0_44_44 = e3) % 59.57/24.70 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (78), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (423) all_0_45_45 = e3 % 59.57/24.70 | % 59.57/24.70 | Combining equations (423,248) yields a new equation: % 59.57/24.70 | (425) e4 = e3 % 59.57/24.70 | % 59.57/24.70 | Equations (425) can reduce 188 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (427) ~ (all_0_45_45 = e3) % 59.57/24.70 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.70 | % 59.57/24.70 | Equations (248) can reduce 427 to: % 59.57/24.70 | (188) ~ (e4 = e3) % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (5471), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (1279) all_0_48_48 = e0 % 59.57/24.70 | % 59.57/24.70 | Equations (1279) can reduce 1283 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.70 | (875) all_0_57_57 = e0 % 59.57/24.70 | % 59.57/24.70 | Equations (875) can reduce 239 to: % 59.57/24.70 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.70 | % 59.57/24.70 | Equations (875) can reduce 344 to: % 59.57/24.70 | (365) ~ (e2 = e0) % 59.57/24.70 | % 59.57/24.70 | Simplifying 365 yields: % 59.57/24.70 | (128) ~ (e2 = e0) % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (537), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (884) all_0_49_49 = e3 % 59.57/24.70 | % 59.57/24.70 | From (884) and (55) follows: % 59.57/24.70 | (1581) op(e2, e0) = e3 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (10218), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (943) all_0_48_48 = e4 % 59.57/24.70 | % 59.57/24.70 | Equations (943) can reduce 254 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (254) ~ (all_0_48_48 = e4) % 59.57/24.70 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (10222), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (1279) all_0_48_48 = e0 % 59.57/24.70 | % 59.57/24.70 | Equations (1279) can reduce 1283 to: % 59.57/24.70 | (266) $false % 59.57/24.70 | % 59.57/24.70 |-The branch is then unsatisfiable % 59.57/24.70 |-Branch two: % 59.57/24.70 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.70 | (615) all_0_48_48 = e1 % 59.57/24.70 | % 59.57/24.70 | Equations (615) can reduce 1283 to: % 59.57/24.70 | (233) ~ (e1 = e0) % 59.57/24.70 | % 59.57/24.70 +-Applying beta-rule and splitting (56), into two cases. % 59.57/24.70 |-Branch one: % 59.57/24.70 | (696) unit = e2 % 59.57/24.70 | % 59.57/24.70 | From (696) and (24) follows: % 59.57/24.70 | (697) op(e2, e3) = e3 % 59.57/24.70 | % 59.57/24.70 | From (696) and (209) follows: % 59.57/24.70 | (7585) op(e2, e0) = e0 % 59.57/24.70 | % 59.57/24.70 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.57/24.70 | (662) e3 = e2 % 59.57/24.70 | % 59.57/24.70 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.57/24.70 | (676) e3 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (676,662) yields a new equation: % 59.57/24.71 | (330) e2 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (330) can reduce 128 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (707) ~ (unit = e2) % 59.57/24.71 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (708), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (709) unit = e4 % 59.57/24.71 | % 59.57/24.71 | From (709) and (24) follows: % 59.57/24.71 | (33325) op(e4, e3) = e3 % 59.57/24.71 | % 59.57/24.71 | From (709) and (227) follows: % 59.57/24.71 | (710) op(e4, e4) = e4 % 59.57/24.71 | % 59.57/24.71 | From (709) and (42) follows: % 59.57/24.71 | (713) op(e0, e4) = e0 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.57/24.71 | (630) e4 = e1 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.57/24.71 | (425) e4 = e3 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.57/24.71 | (676) e3 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (630,425) yields a new equation: % 59.57/24.71 | (455) e3 = e1 % 59.57/24.71 | % 59.57/24.71 | Combining equations (455,676) yields a new equation: % 59.57/24.71 | (546) e1 = e0 % 59.57/24.71 | % 59.57/24.71 | Simplifying 546 yields: % 59.57/24.71 | (431) e1 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (431) can reduce 233 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (724) ~ (unit = e4) % 59.57/24.71 | (725) unit = e3 | unit = e1 | unit = e0 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (725), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (726) unit = e0 % 59.57/24.71 | % 59.57/24.71 | From (726) and (244) follows: % 59.57/24.71 | (2207) op(e0, e4) = e4 % 59.57/24.71 | % 59.57/24.71 | From (726) and (32) follows: % 59.57/24.71 | (727) op(e2, e0) = e2 % 59.57/24.71 | % 59.57/24.71 | From (726) and (28) follows: % 59.57/24.71 | (2698) op(e1, e0) = e1 % 59.57/24.71 | % 59.57/24.71 | From (726) and (42) follows: % 59.57/24.71 | (728) op(e0, e0) = e0 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.57/24.71 | (662) e3 = e2 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 59.57/24.71 | (630) e4 = e1 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.57/24.71 | (425) e4 = e3 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.57/24.71 | (330) e2 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (425,630) yields a new equation: % 59.57/24.71 | (454) e3 = e1 % 59.57/24.71 | % 59.57/24.71 | Simplifying 454 yields: % 59.57/24.71 | (455) e3 = e1 % 59.57/24.71 | % 59.57/24.71 | Combining equations (455,662) yields a new equation: % 59.57/24.71 | (617) e2 = e1 % 59.57/24.71 | % 59.57/24.71 | Combining equations (330,617) yields a new equation: % 59.57/24.71 | (431) e1 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (431) can reduce 233 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (734) ~ (unit = e0) % 59.57/24.71 | (735) unit = e3 | unit = e1 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (735), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (736) unit = e1 % 59.57/24.71 | % 59.57/24.71 | Equations (736) can reduce 707 to: % 59.57/24.71 | (604) ~ (e2 = e1) % 59.57/24.71 | % 59.57/24.71 | Simplifying 604 yields: % 59.57/24.71 | (122) ~ (e2 = e1) % 59.57/24.71 | % 59.57/24.71 | From (736) and (28) follows: % 59.57/24.71 | (740) op(e1, e1) = e1 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.57/24.71 | (617) e2 = e1 % 59.57/24.71 | % 59.57/24.71 | Equations (617) can reduce 122 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (748) ~ (unit = e1) % 59.57/24.71 | (749) unit = e3 % 59.57/24.71 | % 59.57/24.71 | From (749) and (40) follows: % 59.57/24.71 | (3715) op(e3, e3) = e3 % 59.57/24.71 | % 59.57/24.71 | From (749) and (28) follows: % 59.57/24.71 | (2235) op(e1, e3) = e1 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.57/24.71 | (676) e3 = e0 % 59.57/24.71 | % 59.57/24.71 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.57/24.71 | (455) e3 = e1 % 59.57/24.71 | % 59.57/24.71 | Combining equations (676,455) yields a new equation: % 59.57/24.71 | (431) e1 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (431) can reduce 233 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (525) ~ (all_0_49_49 = e3) % 59.57/24.71 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (887), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (665) all_0_53_53 = e3 % 59.57/24.71 | % 59.57/24.71 | Combining equations (1298,665) yields a new equation: % 59.57/24.71 | (424) e4 = e3 % 59.57/24.71 | % 59.57/24.71 | Simplifying 424 yields: % 59.57/24.71 | (425) e4 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (425) can reduce 188 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (903) ~ (all_0_53_53 = e3) % 59.57/24.71 | (795) all_0_58_58 = e3 % 59.57/24.71 | % 59.57/24.71 | Combining equations (795,624) yields a new equation: % 59.57/24.71 | (661) e3 = e2 % 59.57/24.71 | % 59.57/24.71 | Simplifying 661 yields: % 59.57/24.71 | (662) e3 = e2 % 59.57/24.71 | % 59.57/24.71 | Equations (662) can reduce 212 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (357) ~ (all_0_41_41 = e0) % 59.57/24.71 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (26), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (446) all_0_44_44 = e4 % 59.57/24.71 | % 59.57/24.71 | Equations (446) can reduce 1390 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (1390) ~ (all_0_44_44 = e4) % 59.57/24.71 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (6761), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (559) all_0_42_42 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (559,516) yields a new equation: % 59.57/24.71 | (676) e3 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (676) can reduce 80 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (358) ~ (all_0_42_42 = e0) % 59.57/24.71 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (1391), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (1414) all_0_44_44 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (1414) can reduce 360 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (360) ~ (all_0_44_44 = e0) % 59.57/24.71 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (243), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (329) all_0_38_38 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (329,321) yields a new equation: % 59.57/24.71 | (397) e4 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (397) can reduce 49 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (332) ~ (all_0_38_38 = e0) % 59.57/24.71 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (321) can reduce 332 to: % 59.57/24.71 | (49) ~ (e4 = e0) % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (6766), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (356) all_0_43_43 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (356,396) yields a new equation: % 59.57/24.71 | (397) e4 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (397) can reduce 49 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (5470) ~ (all_0_43_43 = e0) % 59.57/24.71 | (1414) all_0_44_44 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (1414) can reduce 360 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (405) ~ (all_0_42_42 = e3) % 59.57/24.71 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (113), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (403) all_0_41_41 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (403) can reduce 1898 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (1898) ~ (all_0_41_41 = e3) % 59.57/24.71 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (1899), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (516) all_0_42_42 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (516) can reduce 405 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (405) ~ (all_0_42_42 = e3) % 59.57/24.71 | (532) all_0_44_44 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (532) can reduce 9 to: % 59.57/24.71 | (524) ~ (all_0_49_49 = e3) % 59.57/24.71 | % 59.57/24.71 | Simplifying 524 yields: % 59.57/24.71 | (525) ~ (all_0_49_49 = e3) % 59.57/24.71 | % 59.57/24.71 | Equations (532) can reduce 1390 to: % 59.57/24.71 | (277) ~ (e4 = e3) % 59.57/24.71 | % 59.57/24.71 | Simplifying 277 yields: % 59.57/24.71 | (188) ~ (e4 = e3) % 59.57/24.71 | % 59.57/24.71 | Equations (532) can reduce 147 to: % 59.57/24.71 | (212) ~ (e3 = e2) % 59.57/24.71 | % 59.57/24.71 | Equations (532) can reduce 360 to: % 59.57/24.71 | (80) ~ (e3 = e0) % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (78), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (423) all_0_45_45 = e3 % 59.57/24.71 | % 59.57/24.71 | Combining equations (423,248) yields a new equation: % 59.57/24.71 | (425) e4 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (425) can reduce 188 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (427) ~ (all_0_45_45 = e3) % 59.57/24.71 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (428), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (1557) all_0_46_46 = e3 % 59.57/24.71 | % 59.57/24.71 | Combining equations (1557,1794) yields a new equation: % 59.57/24.71 | (661) e3 = e2 % 59.57/24.71 | % 59.57/24.71 | Simplifying 661 yields: % 59.57/24.71 | (662) e3 = e2 % 59.57/24.71 | % 59.57/24.71 | Equations (662) can reduce 212 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (409) ~ (all_0_46_46 = e3) % 59.57/24.71 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (1561), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (522) all_0_47_47 = e3 % 59.57/24.71 | % 59.57/24.71 | Combining equations (674,522) yields a new equation: % 59.57/24.71 | (676) e3 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (676) can reduce 80 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (1091) ~ (all_0_47_47 = e3) % 59.57/24.71 | (884) all_0_49_49 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (884) can reduce 525 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (464) ~ (all_0_51_51 = e1) % 59.57/24.71 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (1202), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (642) all_0_52_52 = e1 % 59.57/24.71 | % 59.57/24.71 | Combining equations (352,642) yields a new equation: % 59.57/24.71 | (616) e2 = e1 % 59.57/24.71 | % 59.57/24.71 | Simplifying 616 yields: % 59.57/24.71 | (617) e2 = e1 % 59.57/24.71 | % 59.57/24.71 | Equations (617) can reduce 122 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (646) ~ (all_0_52_52 = e1) % 59.57/24.71 | (1208) all_0_53_53 = e1 % 59.57/24.71 | % 59.57/24.71 | Combining equations (1208,1298) yields a new equation: % 59.57/24.71 | (630) e4 = e1 % 59.57/24.71 | % 59.57/24.71 | Equations (630) can reduce 110 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (411) ~ (all_0_50_50 = e3) % 59.57/24.71 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (241), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (378) all_0_50_50 = e2 % 59.57/24.71 | % 59.57/24.71 | Equations (378) can reduce 302 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (302) ~ (all_0_50_50 = e2) % 59.57/24.71 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (422), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (775) all_0_50_50 = e4 % 59.57/24.71 | % 59.57/24.71 | Equations (775) can reduce 566 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (566) ~ (all_0_50_50 = e4) % 59.57/24.71 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (144), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (403) all_0_41_41 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (403) can reduce 149 to: % 59.57/24.71 | (406) ~ (all_0_44_44 = e3) % 59.57/24.71 | % 59.57/24.71 | Simplifying 406 yields: % 59.57/24.71 | (407) ~ (all_0_44_44 = e3) % 59.57/24.71 | % 59.57/24.71 | Equations (403) can reduce 440 to: % 59.57/24.71 | (277) ~ (e4 = e3) % 59.57/24.71 | % 59.57/24.71 | Simplifying 277 yields: % 59.57/24.71 | (188) ~ (e4 = e3) % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (418), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (660) all_0_51_51 = e3 % 59.57/24.71 | % 59.57/24.71 | Equations (660) can reduce 61 to: % 59.57/24.71 | (405) ~ (all_0_42_42 = e3) % 59.57/24.71 | % 59.57/24.71 | Equations (660) can reduce 59 to: % 59.57/24.71 | (411) ~ (all_0_50_50 = e3) % 59.57/24.71 | % 59.57/24.71 | Equations (660) can reduce 475 to: % 59.57/24.71 | (277) ~ (e4 = e3) % 59.57/24.71 | % 59.57/24.71 | Simplifying 277 yields: % 59.57/24.71 | (188) ~ (e4 = e3) % 59.57/24.71 | % 59.57/24.71 | Equations (660) can reduce 1099 to: % 59.57/24.71 | (212) ~ (e3 = e2) % 59.57/24.71 | % 59.57/24.71 | Equations (660) can reduce 115 to: % 59.57/24.71 | (80) ~ (e3 = e0) % 59.57/24.71 | % 59.57/24.71 | From (660) and (186) follows: % 59.57/24.71 | (1552) op(e1, e2) = e3 % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (165), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (794) all_0_41_41 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (794,403) yields a new equation: % 59.57/24.71 | (676) e3 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (676) can reduce 80 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (357) ~ (all_0_41_41 = e0) % 59.57/24.71 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (403) can reduce 357 to: % 59.57/24.71 | (80) ~ (e3 = e0) % 59.57/24.71 | % 59.57/24.71 +-Applying beta-rule and splitting (243), into two cases. % 59.57/24.71 |-Branch one: % 59.57/24.71 | (329) all_0_38_38 = e0 % 59.57/24.71 | % 59.57/24.71 | Combining equations (329,321) yields a new equation: % 59.57/24.71 | (397) e4 = e0 % 59.57/24.71 | % 59.57/24.71 | Equations (397) can reduce 49 to: % 59.57/24.71 | (266) $false % 59.57/24.71 | % 59.57/24.71 |-The branch is then unsatisfiable % 59.57/24.71 |-Branch two: % 59.57/24.71 | (332) ~ (all_0_38_38 = e0) % 59.57/24.72 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (395), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (794) all_0_41_41 = e0 % 59.57/24.72 | % 59.57/24.72 | Combining equations (794,403) yields a new equation: % 59.57/24.72 | (676) e3 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (676) can reduce 80 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (357) ~ (all_0_41_41 = e0) % 59.57/24.72 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (895), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (538) all_0_46_46 = e0 % 59.57/24.72 | % 59.57/24.72 | Combining equations (1794,538) yields a new equation: % 59.57/24.72 | (391) e2 = e0 % 59.57/24.72 | % 59.57/24.72 | Simplifying 391 yields: % 59.57/24.72 | (330) e2 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (330) can reduce 128 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (831) ~ (all_0_46_46 = e0) % 59.57/24.72 | (858) all_0_55_55 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (858) can reduce 81 to: % 59.57/24.72 | (363) ~ (all_0_57_57 = e0) % 59.57/24.72 | % 59.57/24.72 | Simplifying 363 yields: % 59.57/24.72 | (364) ~ (all_0_57_57 = e0) % 59.57/24.72 | % 59.57/24.72 | Equations (858) can reduce 304 to: % 59.57/24.72 | (365) ~ (e2 = e0) % 59.57/24.72 | % 59.57/24.72 | Simplifying 365 yields: % 59.57/24.72 | (128) ~ (e2 = e0) % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (12), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (442) all_0_57_57 = e2 % 59.57/24.72 | % 59.57/24.72 | Equations (442) can reduce 344 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (344) ~ (all_0_57_57 = e2) % 59.57/24.72 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (1444), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (601) all_0_50_50 = e1 % 59.57/24.72 | % 59.57/24.72 | From (601) and (242) follows: % 59.57/24.72 | (2235) op(e1, e3) = e1 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (189), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (532) all_0_44_44 = e3 % 59.57/24.72 | % 59.57/24.72 | Equations (532) can reduce 407 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (407) ~ (all_0_44_44 = e3) % 59.57/24.72 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (445), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (871) all_0_57_57 = e4 % 59.57/24.72 | % 59.57/24.72 | Equations (871) can reduce 839 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (839) ~ (all_0_57_57 = e4) % 59.57/24.72 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (78), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (423) all_0_45_45 = e3 % 59.57/24.72 | % 59.57/24.72 | Combining equations (423,248) yields a new equation: % 59.57/24.72 | (425) e4 = e3 % 59.57/24.72 | % 59.57/24.72 | Equations (425) can reduce 188 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (427) ~ (all_0_45_45 = e3) % 59.57/24.72 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.72 | % 59.57/24.72 | Equations (248) can reduce 427 to: % 59.57/24.72 | (188) ~ (e4 = e3) % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (874), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (875) all_0_57_57 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (875) can reduce 364 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (364) ~ (all_0_57_57 = e0) % 59.57/24.72 | (647) all_0_57_57 = e1 % 59.57/24.72 | % 59.57/24.72 | Equations (647) can reduce 239 to: % 59.57/24.72 | (619) ~ (all_0_48_48 = e1) % 59.57/24.72 | % 59.57/24.72 | Equations (647) can reduce 839 to: % 59.57/24.72 | (602) ~ (e4 = e1) % 59.57/24.72 | % 59.57/24.72 | Simplifying 602 yields: % 59.57/24.72 | (110) ~ (e4 = e1) % 59.57/24.72 | % 59.57/24.72 | Equations (647) can reduce 67 to: % 59.57/24.72 | (467) ~ (e3 = e1) % 59.57/24.72 | % 59.57/24.72 | Simplifying 467 yields: % 59.57/24.72 | (213) ~ (e3 = e1) % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (228), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (335) all_0_48_48 = e2 % 59.57/24.72 | % 59.57/24.72 | Equations (335) can reduce 810 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (810) ~ (all_0_48_48 = e2) % 59.57/24.72 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (537), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (884) all_0_49_49 = e3 % 59.57/24.72 | % 59.57/24.72 | Equations (884) can reduce 9 to: % 59.57/24.72 | (407) ~ (all_0_44_44 = e3) % 59.57/24.72 | % 59.57/24.72 | From (884) and (55) follows: % 59.57/24.72 | (1581) op(e2, e0) = e3 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (112), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (635) all_0_44_44 = e1 % 59.57/24.72 | % 59.57/24.72 | Equations (635) can reduce 73 to: % 59.57/24.72 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.72 | % 59.57/24.72 | Equations (635) can reduce 407 to: % 59.57/24.72 | (467) ~ (e3 = e1) % 59.57/24.72 | % 59.57/24.72 | Simplifying 467 yields: % 59.57/24.72 | (213) ~ (e3 = e1) % 59.57/24.72 | % 59.57/24.72 | Equations (635) can reduce 147 to: % 59.57/24.72 | (604) ~ (e2 = e1) % 59.57/24.72 | % 59.57/24.72 | Simplifying 604 yields: % 59.57/24.72 | (122) ~ (e2 = e1) % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (152), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (1392) all_0_42_42 = e4 % 59.57/24.72 | % 59.57/24.72 | Equations (1392) can reduce 1890 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (1890) ~ (all_0_42_42 = e4) % 59.57/24.72 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (131), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (459) all_0_42_42 = e1 % 59.57/24.72 | % 59.57/24.72 | Equations (459) can reduce 1380 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.72 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (1969), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (559) all_0_42_42 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (559) can reduce 198 to: % 59.57/24.72 | (1402) ~ (all_0_47_47 = e0) % 59.57/24.72 | % 59.57/24.72 | Simplifying 1402 yields: % 59.57/24.72 | (678) ~ (all_0_47_47 = e0) % 59.57/24.72 | % 59.57/24.72 | Equations (559) can reduce 1380 to: % 59.57/24.72 | (435) ~ (e1 = e0) % 59.57/24.72 | % 59.57/24.72 | Simplifying 435 yields: % 59.57/24.72 | (233) ~ (e1 = e0) % 59.57/24.72 | % 59.57/24.72 | From (559) and (210) follows: % 59.57/24.72 | (20848) op(e3, e2) = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (3259), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (654) all_0_47_47 = e1 % 59.57/24.72 | % 59.57/24.72 | Equations (654) can reduce 114 to: % 59.57/24.72 | (11581) ~ (all_0_48_48 = e1) % 59.57/24.72 | % 59.57/24.72 | Simplifying 11581 yields: % 59.57/24.72 | (619) ~ (all_0_48_48 = e1) % 59.57/24.72 | % 59.57/24.72 | Equations (654) can reduce 678 to: % 59.57/24.72 | (233) ~ (e1 = e0) % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (5471), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (1279) all_0_48_48 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (1279) can reduce 619 to: % 59.57/24.72 | (435) ~ (e1 = e0) % 59.57/24.72 | % 59.57/24.72 | Simplifying 435 yields: % 59.57/24.72 | (233) ~ (e1 = e0) % 59.57/24.72 | % 59.57/24.72 | From (1279) and (192) follows: % 59.57/24.72 | (14938) op(e2, e1) = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (56), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (696) unit = e2 % 59.57/24.72 | % 59.57/24.72 | From (696) and (24) follows: % 59.57/24.72 | (697) op(e2, e3) = e3 % 59.57/24.72 | % 59.57/24.72 | From (696) and (209) follows: % 59.57/24.72 | (7585) op(e2, e0) = e0 % 59.57/24.72 | % 59.57/24.72 | From (696) and (28) follows: % 59.57/24.72 | (699) op(e1, e2) = e1 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.57/24.72 | (662) e3 = e2 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.57/24.72 | (676) e3 = e0 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.57/24.72 | (455) e3 = e1 % 59.57/24.72 | % 59.57/24.72 | Combining equations (676,662) yields a new equation: % 59.57/24.72 | (330) e2 = e0 % 59.57/24.72 | % 59.57/24.72 | Combining equations (455,662) yields a new equation: % 59.57/24.72 | (617) e2 = e1 % 59.57/24.72 | % 59.57/24.72 | Combining equations (330,617) yields a new equation: % 59.57/24.72 | (431) e1 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (431) can reduce 233 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (707) ~ (unit = e2) % 59.57/24.72 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (708), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (709) unit = e4 % 59.57/24.72 | % 59.57/24.72 | From (709) and (24) follows: % 59.57/24.72 | (33325) op(e4, e3) = e3 % 59.57/24.72 | % 59.57/24.72 | From (709) and (227) follows: % 59.57/24.72 | (710) op(e4, e4) = e4 % 59.57/24.72 | % 59.57/24.72 | From (709) and (42) follows: % 59.57/24.72 | (713) op(e0, e4) = e0 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.57/24.72 | (630) e4 = e1 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.57/24.72 | (425) e4 = e3 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.57/24.72 | (676) e3 = e0 % 59.57/24.72 | % 59.57/24.72 | Combining equations (630,425) yields a new equation: % 59.57/24.72 | (455) e3 = e1 % 59.57/24.72 | % 59.57/24.72 | Combining equations (455,676) yields a new equation: % 59.57/24.72 | (546) e1 = e0 % 59.57/24.72 | % 59.57/24.72 | Simplifying 546 yields: % 59.57/24.72 | (431) e1 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (431) can reduce 233 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (724) ~ (unit = e4) % 59.57/24.72 | (725) unit = e3 | unit = e1 | unit = e0 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (725), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (726) unit = e0 % 59.57/24.72 | % 59.57/24.72 | From (726) and (244) follows: % 59.57/24.72 | (2207) op(e0, e4) = e4 % 59.57/24.72 | % 59.57/24.72 | From (726) and (15) follows: % 59.57/24.72 | (1508) op(e0, e2) = e2 % 59.57/24.72 | % 59.57/24.72 | From (726) and (227) follows: % 59.57/24.72 | (3205) op(e4, e0) = e4 % 59.57/24.72 | % 59.57/24.72 | From (726) and (28) follows: % 59.57/24.72 | (2698) op(e1, e0) = e1 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 59.57/24.72 | (397) e4 = e0 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields: % 59.57/24.72 | (630) e4 = e1 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.57/24.72 | (425) e4 = e3 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.57/24.72 | (323) e4 = e2 % 59.57/24.72 | % 59.57/24.72 | Combining equations (630,425) yields a new equation: % 59.57/24.72 | (455) e3 = e1 % 59.57/24.72 | % 59.57/24.72 | Combining equations (397,425) yields a new equation: % 59.57/24.72 | (676) e3 = e0 % 59.57/24.72 | % 59.57/24.72 | Combining equations (323,425) yields a new equation: % 59.57/24.72 | (662) e3 = e2 % 59.57/24.72 | % 59.57/24.72 | Combining equations (676,662) yields a new equation: % 59.57/24.72 | (330) e2 = e0 % 59.57/24.72 | % 59.57/24.72 | Combining equations (455,662) yields a new equation: % 59.57/24.72 | (617) e2 = e1 % 59.57/24.72 | % 59.57/24.72 | Combining equations (617,330) yields a new equation: % 59.57/24.72 | (546) e1 = e0 % 59.57/24.72 | % 59.57/24.72 | Simplifying 546 yields: % 59.57/24.72 | (431) e1 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (431) can reduce 233 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (734) ~ (unit = e0) % 59.57/24.72 | (735) unit = e3 | unit = e1 % 59.57/24.72 | % 59.57/24.72 +-Applying beta-rule and splitting (735), into two cases. % 59.57/24.72 |-Branch one: % 59.57/24.72 | (736) unit = e1 % 59.57/24.72 | % 59.57/24.72 | Equations (736) can reduce 734 to: % 59.57/24.72 | (233) ~ (e1 = e0) % 59.57/24.72 | % 59.57/24.72 | From (736) and (24) follows: % 59.57/24.72 | (1934) op(e1, e3) = e3 % 59.57/24.72 | % 59.57/24.72 | From (736) and (15) follows: % 59.57/24.72 | (515) op(e1, e2) = e2 % 59.57/24.72 | % 59.57/24.72 | From (736) and (32) follows: % 59.57/24.72 | (347) op(e2, e1) = e2 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e2, e1, e2, e0 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e0, yields: % 59.57/24.72 | (330) e2 = e0 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.57/24.72 | (455) e3 = e1 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.57/24.72 | (662) e3 = e2 % 59.57/24.72 | % 59.57/24.72 | Combining equations (662,455) yields a new equation: % 59.57/24.72 | (616) e2 = e1 % 59.57/24.72 | % 59.57/24.72 | Simplifying 616 yields: % 59.57/24.72 | (617) e2 = e1 % 59.57/24.72 | % 59.57/24.72 | Combining equations (330,617) yields a new equation: % 59.57/24.72 | (431) e1 = e0 % 59.57/24.72 | % 59.57/24.72 | Equations (431) can reduce 233 to: % 59.57/24.72 | (266) $false % 59.57/24.72 | % 59.57/24.72 |-The branch is then unsatisfiable % 59.57/24.72 |-Branch two: % 59.57/24.72 | (748) ~ (unit = e1) % 59.57/24.72 | (749) unit = e3 % 59.57/24.72 | % 59.57/24.72 | From (749) and (244) follows: % 59.57/24.72 | (750) op(e3, e4) = e4 % 59.57/24.72 | % 59.57/24.72 | From (749) and (15) follows: % 59.57/24.72 | (751) op(e3, e2) = e2 % 59.57/24.72 | % 59.57/24.72 | From (749) and (211) follows: % 59.57/24.72 | (13877) op(e3, e1) = e1 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.57/24.72 | (323) e4 = e2 % 59.57/24.72 | % 59.57/24.72 | Instantiating formula (29) with e3, e2, e2, e0 and discharging atoms op(e3, e2) = e2, op(e3, e2) = e0, yields: % 59.57/24.73 | (330) e2 = e0 % 59.57/24.73 | % 59.57/24.73 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 59.57/24.73 | (630) e4 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (630,323) yields a new equation: % 59.57/24.73 | (617) e2 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (617,330) yields a new equation: % 59.57/24.73 | (546) e1 = e0 % 59.57/24.73 | % 59.57/24.73 | Simplifying 546 yields: % 59.57/24.73 | (431) e1 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (431) can reduce 233 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.73 | (875) all_0_57_57 = e0 % 59.57/24.73 | % 59.57/24.73 | Combining equations (875,647) yields a new equation: % 59.57/24.73 | (431) e1 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (431) can reduce 233 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (462) ~ (all_0_47_47 = e1) % 59.57/24.73 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (135), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (545) all_0_46_46 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (545,1794) yields a new equation: % 59.57/24.73 | (617) e2 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (617) can reduce 122 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (549) ~ (all_0_46_46 = e1) % 59.57/24.73 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (5471), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (1279) all_0_48_48 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (1279) can reduce 619 to: % 59.57/24.73 | (435) ~ (e1 = e0) % 59.57/24.73 | % 59.57/24.73 | Simplifying 435 yields: % 59.57/24.73 | (233) ~ (e1 = e0) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (550), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (654) all_0_47_47 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (654) can reduce 462 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (462) ~ (all_0_47_47 = e1) % 59.57/24.73 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (659), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (615) all_0_48_48 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (1279,615) yields a new equation: % 59.57/24.73 | (431) e1 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (431) can reduce 233 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (619) ~ (all_0_48_48 = e1) % 59.57/24.73 | (671) all_0_49_49 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (884,671) yields a new equation: % 59.57/24.73 | (454) e3 = e1 % 59.57/24.73 | % 59.57/24.73 | Simplifying 454 yields: % 59.57/24.73 | (455) e3 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (455) can reduce 213 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.73 | (875) all_0_57_57 = e0 % 59.57/24.73 | % 59.57/24.73 | Combining equations (647,875) yields a new equation: % 59.57/24.73 | (546) e1 = e0 % 59.57/24.73 | % 59.57/24.73 | Simplifying 546 yields: % 59.57/24.73 | (431) e1 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (431) can reduce 233 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (358) ~ (all_0_42_42 = e0) % 59.57/24.73 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (2510), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (459) all_0_42_42 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (459) can reduce 1380 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.73 | (516) all_0_42_42 = e3 % 59.57/24.73 | % 59.57/24.73 | Equations (516) can reduce 405 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (639) ~ (all_0_44_44 = e1) % 59.57/24.73 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (103), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (453) all_0_41_41 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (403,453) yields a new equation: % 59.57/24.73 | (454) e3 = e1 % 59.57/24.73 | % 59.57/24.73 | Simplifying 454 yields: % 59.57/24.73 | (455) e3 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (455) can reduce 213 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (457) ~ (all_0_41_41 = e1) % 59.57/24.73 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (10218), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (943) all_0_48_48 = e4 % 59.57/24.73 | % 59.57/24.73 | Equations (943) can reduce 254 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (254) ~ (all_0_48_48 = e4) % 59.57/24.73 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (458), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (459) all_0_42_42 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (459) can reduce 198 to: % 59.57/24.73 | (461) ~ (all_0_47_47 = e1) % 59.57/24.73 | % 59.57/24.73 | Simplifying 461 yields: % 59.57/24.73 | (462) ~ (all_0_47_47 = e1) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (104), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (480) all_0_39_39 = e0 % 59.57/24.73 | % 59.57/24.73 | Combining equations (480,317) yields a new equation: % 59.57/24.73 | (330) e2 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (330) can reduce 128 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (484) ~ (all_0_39_39 = e0) % 59.57/24.73 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (317) can reduce 484 to: % 59.57/24.73 | (128) ~ (e2 = e0) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (163), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (565) all_0_52_52 = e4 % 59.57/24.73 | % 59.57/24.73 | Combining equations (565,352) yields a new equation: % 59.57/24.73 | (322) e4 = e2 % 59.57/24.73 | % 59.57/24.73 | Simplifying 322 yields: % 59.57/24.73 | (323) e4 = e2 % 59.57/24.73 | % 59.57/24.73 | Equations (323) can reduce 48 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (780) ~ (all_0_52_52 = e4) % 59.57/24.73 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (781), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (789), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (790), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (791), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (792), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.57/24.73 | % 59.57/24.73 | Applying alpha-rule on (793) yields: % 59.57/24.73 | (794) all_0_41_41 = e0 % 59.57/24.73 | (795) all_0_58_58 = e3 % 59.57/24.73 | (407) ~ (all_0_44_44 = e3) % 59.57/24.73 | % 59.57/24.73 | Combining equations (403,794) yields a new equation: % 59.57/24.73 | (675) e3 = e0 % 59.57/24.73 | % 59.57/24.73 | Simplifying 675 yields: % 59.57/24.73 | (676) e3 = e0 % 59.57/24.73 | % 59.57/24.73 | Combining equations (795,624) yields a new equation: % 59.57/24.73 | (661) e3 = e2 % 59.57/24.73 | % 59.57/24.73 | Simplifying 661 yields: % 59.57/24.73 | (662) e3 = e2 % 59.57/24.73 | % 59.57/24.73 | Combining equations (662,676) yields a new equation: % 59.57/24.73 | (391) e2 = e0 % 59.57/24.73 | % 59.57/24.73 | Simplifying 391 yields: % 59.57/24.73 | (330) e2 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (330) can reduce 128 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.57/24.73 | % 59.57/24.73 | Applying alpha-rule on (800) yields: % 59.57/24.73 | (794) all_0_41_41 = e0 % 59.57/24.73 | (795) all_0_58_58 = e3 % 59.57/24.73 | (803) ~ (all_0_55_55 = e0) % 59.57/24.73 | % 59.57/24.73 | Combining equations (403,794) yields a new equation: % 59.57/24.73 | (675) e3 = e0 % 59.57/24.73 | % 59.57/24.73 | Simplifying 675 yields: % 59.57/24.73 | (676) e3 = e0 % 59.57/24.73 | % 59.57/24.73 | Combining equations (795,624) yields a new equation: % 59.57/24.73 | (661) e3 = e2 % 59.57/24.73 | % 59.57/24.73 | Simplifying 661 yields: % 59.57/24.73 | (662) e3 = e2 % 59.57/24.73 | % 59.57/24.73 | Combining equations (662,676) yields a new equation: % 59.57/24.73 | (391) e2 = e0 % 59.57/24.73 | % 59.57/24.73 | Simplifying 391 yields: % 59.57/24.73 | (330) e2 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (330) can reduce 128 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.57/24.73 | % 59.57/24.73 | Applying alpha-rule on (807) yields: % 59.57/24.73 | (654) all_0_47_47 = e1 % 59.57/24.73 | (352) all_0_52_52 = e2 % 59.57/24.73 | (810) ~ (all_0_48_48 = e2) % 59.57/24.73 | % 59.57/24.73 | Equations (654) can reduce 462 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.57/24.73 | % 59.57/24.73 | Applying alpha-rule on (813) yields: % 59.57/24.73 | (654) all_0_47_47 = e1 % 59.57/24.73 | (352) all_0_52_52 = e2 % 59.57/24.73 | (464) ~ (all_0_51_51 = e1) % 59.57/24.73 | % 59.57/24.73 | Equations (654) can reduce 462 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.57/24.73 | % 59.57/24.73 | Applying alpha-rule on (819) yields: % 59.57/24.73 | (674) all_0_47_47 = e0 % 59.57/24.73 | (624) all_0_58_58 = e2 % 59.57/24.73 | (340) ~ (all_0_49_49 = e2) % 59.57/24.73 | % 59.57/24.73 | Equations (674) can reduce 114 to: % 59.57/24.73 | (10200) ~ (all_0_48_48 = e0) % 59.57/24.73 | % 59.57/24.73 | Simplifying 10200 yields: % 59.57/24.73 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (10222), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (1279) all_0_48_48 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (1279) can reduce 1283 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.73 | (615) all_0_48_48 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (615) can reduce 619 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.57/24.73 | % 59.57/24.73 | Applying alpha-rule on (825) yields: % 59.57/24.73 | (674) all_0_47_47 = e0 % 59.57/24.73 | (624) all_0_58_58 = e2 % 59.57/24.73 | (828) ~ (all_0_56_56 = e0) % 59.57/24.73 | % 59.57/24.73 | Equations (674) can reduce 114 to: % 59.57/24.73 | (10200) ~ (all_0_48_48 = e0) % 59.57/24.73 | % 59.57/24.73 | Simplifying 10200 yields: % 59.57/24.73 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (10222), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (1279) all_0_48_48 = e0 % 59.57/24.73 | % 59.57/24.73 | Equations (1279) can reduce 1283 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.73 | (615) all_0_48_48 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (615) can reduce 619 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.73 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (1381), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (430) all_0_43_43 = e1 % 59.57/24.73 | % 59.57/24.73 | Combining equations (430,396) yields a new equation: % 59.57/24.73 | (630) e4 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (630) can reduce 110 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (433) ~ (all_0_43_43 = e1) % 59.57/24.73 | (635) all_0_44_44 = e1 % 59.57/24.73 | % 59.57/24.73 | Equations (635) can reduce 639 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (525) ~ (all_0_49_49 = e3) % 59.57/24.73 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (887), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (665) all_0_53_53 = e3 % 59.57/24.73 | % 59.57/24.73 | Combining equations (1298,665) yields a new equation: % 59.57/24.73 | (424) e4 = e3 % 59.57/24.73 | % 59.57/24.73 | Simplifying 424 yields: % 59.57/24.73 | (425) e4 = e3 % 59.57/24.73 | % 59.57/24.73 | Equations (425) can reduce 188 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (903) ~ (all_0_53_53 = e3) % 59.57/24.73 | (795) all_0_58_58 = e3 % 59.57/24.73 | % 59.57/24.73 | Combining equations (795,624) yields a new equation: % 59.57/24.73 | (661) e3 = e2 % 59.57/24.73 | % 59.57/24.73 | Simplifying 661 yields: % 59.57/24.73 | (662) e3 = e2 % 59.57/24.73 | % 59.57/24.73 | Equations (662) can reduce 212 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (759) ~ (all_0_50_50 = e1) % 59.57/24.73 | (415) all_0_50_50 = e3 % 59.57/24.73 | % 59.57/24.73 | Equations (415) can reduce 411 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (664) ~ (all_0_51_51 = e3) % 59.57/24.73 | (665) all_0_53_53 = e3 % 59.57/24.73 | % 59.57/24.73 | Combining equations (665,1298) yields a new equation: % 59.57/24.73 | (425) e4 = e3 % 59.57/24.73 | % 59.57/24.73 | Equations (425) can reduce 188 to: % 59.57/24.73 | (266) $false % 59.57/24.73 | % 59.57/24.73 |-The branch is then unsatisfiable % 59.57/24.73 |-Branch two: % 59.57/24.73 | (1898) ~ (all_0_41_41 = e3) % 59.57/24.73 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.57/24.73 | % 59.57/24.73 +-Applying beta-rule and splitting (418), into two cases. % 59.57/24.73 |-Branch one: % 59.57/24.73 | (660) all_0_51_51 = e3 % 59.57/24.73 | % 59.57/24.73 | Equations (660) can reduce 61 to: % 59.57/24.73 | (405) ~ (all_0_42_42 = e3) % 59.57/24.73 | % 59.57/24.73 | Equations (660) can reduce 224 to: % 59.57/24.73 | (1091) ~ (all_0_47_47 = e3) % 59.57/24.73 | % 59.57/24.73 | Equations (660) can reduce 475 to: % 59.57/24.73 | (277) ~ (e4 = e3) % 59.57/24.73 | % 59.57/24.73 | Simplifying 277 yields: % 59.57/24.73 | (188) ~ (e4 = e3) % 59.57/24.74 | % 59.57/24.74 | Equations (660) can reduce 1099 to: % 59.57/24.74 | (212) ~ (e3 = e2) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (113), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (403) all_0_41_41 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (403) can reduce 1898 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (1898) ~ (all_0_41_41 = e3) % 59.57/24.74 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (78), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (423) all_0_45_45 = e3 % 59.57/24.74 | % 59.57/24.74 | Combining equations (423,248) yields a new equation: % 59.57/24.74 | (425) e4 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (425) can reduce 188 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (427) ~ (all_0_45_45 = e3) % 59.57/24.74 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (428), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (1557) all_0_46_46 = e3 % 59.57/24.74 | % 59.57/24.74 | Combining equations (1557,1794) yields a new equation: % 59.57/24.74 | (661) e3 = e2 % 59.57/24.74 | % 59.57/24.74 | Simplifying 661 yields: % 59.57/24.74 | (662) e3 = e2 % 59.57/24.74 | % 59.57/24.74 | Equations (662) can reduce 212 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (409) ~ (all_0_46_46 = e3) % 59.57/24.74 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (1899), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (516) all_0_42_42 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (516) can reduce 405 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (405) ~ (all_0_42_42 = e3) % 59.57/24.74 | (532) all_0_44_44 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (532) can reduce 73 to: % 59.57/24.74 | (405) ~ (all_0_42_42 = e3) % 59.57/24.74 | % 59.57/24.74 | Equations (532) can reduce 9 to: % 59.57/24.74 | (524) ~ (all_0_49_49 = e3) % 59.57/24.74 | % 59.57/24.74 | Simplifying 524 yields: % 59.57/24.74 | (525) ~ (all_0_49_49 = e3) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (54), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (583) all_0_49_49 = e2 % 59.57/24.74 | % 59.57/24.74 | Equations (583) can reduce 340 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (340) ~ (all_0_49_49 = e2) % 59.57/24.74 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (586), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (974) all_0_49_49 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (974) can reduce 256 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (256) ~ (all_0_49_49 = e4) % 59.57/24.74 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (977), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (978) all_0_49_49 = e0 % 59.57/24.74 | % 59.57/24.74 | Equations (978) can reduce 487 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (487) ~ (all_0_49_49 = e0) % 59.57/24.74 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (981), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (671) all_0_49_49 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (671) can reduce 86 to: % 59.57/24.74 | (462) ~ (all_0_47_47 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (671) can reduce 185 to: % 59.57/24.74 | (619) ~ (all_0_48_48 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (671) can reduce 256 to: % 59.57/24.74 | (602) ~ (e4 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 602 yields: % 59.57/24.74 | (110) ~ (e4 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (671) can reduce 340 to: % 59.57/24.74 | (604) ~ (e2 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 604 yields: % 59.57/24.74 | (122) ~ (e2 = e1) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (130), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (430) all_0_43_43 = e1 % 59.57/24.74 | % 59.57/24.74 | Combining equations (430,396) yields a new equation: % 59.57/24.74 | (630) e4 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (630) can reduce 110 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (433) ~ (all_0_43_43 = e1) % 59.57/24.74 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (434), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (615) all_0_48_48 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (615) can reduce 619 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (619) ~ (all_0_48_48 = e1) % 59.57/24.74 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (620), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (642) all_0_52_52 = e1 % 59.57/24.74 | % 59.57/24.74 | Combining equations (352,642) yields a new equation: % 59.57/24.74 | (616) e2 = e1 % 59.57/24.74 | % 59.57/24.74 | Simplifying 616 yields: % 59.57/24.74 | (617) e2 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (617) can reduce 122 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (646) ~ (all_0_52_52 = e1) % 59.57/24.74 | (647) all_0_57_57 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (647) can reduce 839 to: % 59.57/24.74 | (602) ~ (e4 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 602 yields: % 59.57/24.74 | (110) ~ (e4 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (647) can reduce 67 to: % 59.57/24.74 | (467) ~ (e3 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 467 yields: % 59.57/24.74 | (213) ~ (e3 = e1) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (131), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (459) all_0_42_42 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (459) can reduce 405 to: % 59.57/24.74 | (467) ~ (e3 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 467 yields: % 59.57/24.74 | (213) ~ (e3 = e1) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (1561), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (522) all_0_47_47 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (522) can reduce 1091 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (1091) ~ (all_0_47_47 = e3) % 59.57/24.74 | (884) all_0_49_49 = e3 % 59.57/24.74 | % 59.57/24.74 | Combining equations (671,884) yields a new equation: % 59.57/24.74 | (455) e3 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (455) can reduce 213 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.74 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (3259), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (654) all_0_47_47 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (654) can reduce 462 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (462) ~ (all_0_47_47 = e1) % 59.57/24.74 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (3264), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (1109) all_0_51_51 = e1 % 59.57/24.74 | % 59.57/24.74 | Combining equations (660,1109) yields a new equation: % 59.57/24.74 | (454) e3 = e1 % 59.57/24.74 | % 59.57/24.74 | Simplifying 454 yields: % 59.57/24.74 | (455) e3 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (455) can reduce 213 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (464) ~ (all_0_51_51 = e1) % 59.57/24.74 | (1569) all_0_56_56 = e1 % 59.57/24.74 | % 59.57/24.74 | Combining equations (1569,842) yields a new equation: % 59.57/24.74 | (630) e4 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (630) can reduce 110 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (1064) ~ (all_0_49_49 = e1) % 59.57/24.74 | (884) all_0_49_49 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (884) can reduce 525 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (664) ~ (all_0_51_51 = e3) % 59.57/24.74 | (665) all_0_53_53 = e3 % 59.57/24.74 | % 59.57/24.74 | Combining equations (665,1298) yields a new equation: % 59.57/24.74 | (425) e4 = e3 % 59.57/24.74 | % 59.57/24.74 | Equations (425) can reduce 188 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (477) ~ (all_0_56_56 = e4) % 59.57/24.74 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (6548), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (1101) all_0_51_51 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (1101) can reduce 475 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (475) ~ (all_0_51_51 = e4) % 59.57/24.74 | (842) all_0_56_56 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (842) can reduce 477 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (1453) ~ (all_0_53_53 = e4) % 59.57/24.74 | (910) all_0_58_58 = e4 % 59.57/24.74 | % 59.57/24.74 | Combining equations (910,624) yields a new equation: % 59.57/24.74 | (322) e4 = e2 % 59.57/24.74 | % 59.57/24.74 | Simplifying 322 yields: % 59.57/24.74 | (323) e4 = e2 % 59.57/24.74 | % 59.57/24.74 | Equations (323) can reduce 48 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (399) ~ (all_0_43_43 = e4) % 59.57/24.74 | (6374) all_0_43_43 = e1 | all_0_43_43 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (230), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (396) all_0_43_43 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (396) can reduce 399 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (399) ~ (all_0_43_43 = e4) % 59.57/24.74 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (400), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (943) all_0_48_48 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (943) can reduce 254 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (254) ~ (all_0_48_48 = e4) % 59.57/24.74 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (947), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (565) all_0_52_52 = e4 % 59.57/24.74 | % 59.57/24.74 | Combining equations (352,565) yields a new equation: % 59.57/24.74 | (323) e4 = e2 % 59.57/24.74 | % 59.57/24.74 | Equations (323) can reduce 48 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (780) ~ (all_0_52_52 = e4) % 59.57/24.74 | (871) all_0_57_57 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (871) can reduce 199 to: % 59.57/24.74 | (399) ~ (all_0_43_43 = e4) % 59.57/24.74 | % 59.57/24.74 | Equations (871) can reduce 239 to: % 59.57/24.74 | (254) ~ (all_0_48_48 = e4) % 59.57/24.74 | % 59.57/24.74 | Equations (871) can reduce 81 to: % 59.57/24.74 | (763) ~ (all_0_55_55 = e4) % 59.57/24.74 | % 59.57/24.74 | Equations (871) can reduce 67 to: % 59.57/24.74 | (188) ~ (e4 = e3) % 59.57/24.74 | % 59.57/24.74 | Equations (871) can reduce 344 to: % 59.57/24.74 | (48) ~ (e4 = e2) % 59.57/24.74 | % 59.57/24.74 | From (871) and (83) follows: % 59.57/24.74 | (3109) op(e0, e1) = e4 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (4), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (356) all_0_43_43 = e0 % 59.57/24.74 | % 59.57/24.74 | Equations (356) can reduce 31 to: % 59.57/24.74 | (357) ~ (all_0_41_41 = e0) % 59.57/24.74 | % 59.57/24.74 | Equations (356) can reduce 159 to: % 59.57/24.74 | (359) ~ (all_0_44_44 = e0) % 59.57/24.74 | % 59.57/24.74 | Simplifying 359 yields: % 59.57/24.74 | (360) ~ (all_0_44_44 = e0) % 59.57/24.74 | % 59.57/24.74 | Equations (356) can reduce 17 to: % 59.57/24.74 | (10200) ~ (all_0_48_48 = e0) % 59.57/24.74 | % 59.57/24.74 | Simplifying 10200 yields: % 59.57/24.74 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.74 | % 59.57/24.74 | Equations (356) can reduce 399 to: % 59.57/24.74 | (401) ~ (e4 = e0) % 59.57/24.74 | % 59.57/24.74 | Simplifying 401 yields: % 59.57/24.74 | (49) ~ (e4 = e0) % 59.57/24.74 | % 59.57/24.74 | Equations (356) can reduce 96 to: % 59.57/24.74 | (365) ~ (e2 = e0) % 59.57/24.74 | % 59.57/24.74 | Simplifying 365 yields: % 59.57/24.74 | (128) ~ (e2 = e0) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (228), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (335) all_0_48_48 = e2 % 59.57/24.74 | % 59.57/24.74 | Equations (335) can reduce 810 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (810) ~ (all_0_48_48 = e2) % 59.57/24.74 | (10218) all_0_48_48 = e4 | all_0_48_48 = e1 | all_0_48_48 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (10218), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (943) all_0_48_48 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (943) can reduce 254 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (254) ~ (all_0_48_48 = e4) % 59.57/24.74 | (10222) all_0_48_48 = e1 | all_0_48_48 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (10222), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (1279) all_0_48_48 = e0 % 59.57/24.74 | % 59.57/24.74 | Equations (1279) can reduce 1283 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (1283) ~ (all_0_48_48 = e0) % 59.57/24.74 | (615) all_0_48_48 = e1 % 59.57/24.74 | % 59.57/24.74 | Equations (615) can reduce 114 to: % 59.57/24.74 | (462) ~ (all_0_47_47 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (615) can reduce 185 to: % 59.57/24.74 | (1419) ~ (all_0_49_49 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 1419 yields: % 59.57/24.74 | (1064) ~ (all_0_49_49 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (615) can reduce 254 to: % 59.57/24.74 | (602) ~ (e4 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 602 yields: % 59.57/24.74 | (110) ~ (e4 = e1) % 59.57/24.74 | % 59.57/24.74 | Equations (615) can reduce 810 to: % 59.57/24.74 | (604) ~ (e2 = e1) % 59.57/24.74 | % 59.57/24.74 | Simplifying 604 yields: % 59.57/24.74 | (122) ~ (e2 = e1) % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (54), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (583) all_0_49_49 = e2 % 59.57/24.74 | % 59.57/24.74 | Equations (583) can reduce 340 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (340) ~ (all_0_49_49 = e2) % 59.57/24.74 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (586), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (974) all_0_49_49 = e4 % 59.57/24.74 | % 59.57/24.74 | Equations (974) can reduce 256 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (256) ~ (all_0_49_49 = e4) % 59.57/24.74 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (243), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (329) all_0_38_38 = e0 % 59.57/24.74 | % 59.57/24.74 | Combining equations (329,321) yields a new equation: % 59.57/24.74 | (397) e4 = e0 % 59.57/24.74 | % 59.57/24.74 | Equations (397) can reduce 49 to: % 59.57/24.74 | (266) $false % 59.57/24.74 | % 59.57/24.74 |-The branch is then unsatisfiable % 59.57/24.74 |-Branch two: % 59.57/24.74 | (332) ~ (all_0_38_38 = e0) % 59.57/24.74 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.57/24.74 | % 59.57/24.74 +-Applying beta-rule and splitting (184), into two cases. % 59.57/24.74 |-Branch one: % 59.57/24.74 | (538) all_0_46_46 = e0 % 59.57/24.74 | % 59.57/24.74 | Combining equations (1794,538) yields a new equation: % 59.57/24.74 | (391) e2 = e0 % 59.57/24.74 | % 59.57/24.74 | Simplifying 391 yields: % 59.57/24.74 | (330) e2 = e0 % 59.57/24.74 | % 59.57/24.74 | Equations (330) can reduce 128 to: % 59.57/24.74 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (831) ~ (all_0_46_46 = e0) % 59.57/24.75 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (163), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (565) all_0_52_52 = e4 % 59.57/24.75 | % 59.57/24.75 | Combining equations (565,352) yields a new equation: % 59.57/24.75 | (322) e4 = e2 % 59.57/24.75 | % 59.57/24.75 | Simplifying 322 yields: % 59.57/24.75 | (323) e4 = e2 % 59.57/24.75 | % 59.57/24.75 | Equations (323) can reduce 48 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (780) ~ (all_0_52_52 = e4) % 59.57/24.75 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.57/24.75 | % 59.57/24.75 | Equations (352) can reduce 780 to: % 59.57/24.75 | (327) ~ (e4 = e2) % 59.57/24.75 | % 59.57/24.75 | Simplifying 327 yields: % 59.57/24.75 | (48) ~ (e4 = e2) % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (395), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (794) all_0_41_41 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (794) can reduce 357 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (357) ~ (all_0_41_41 = e0) % 59.57/24.75 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (832), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (674) all_0_47_47 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (674) can reduce 198 to: % 59.57/24.75 | (358) ~ (all_0_42_42 = e0) % 59.57/24.75 | % 59.57/24.75 | Equations (674) can reduce 338 to: % 59.57/24.75 | (365) ~ (e2 = e0) % 59.57/24.75 | % 59.57/24.75 | Simplifying 365 yields: % 59.57/24.75 | (128) ~ (e2 = e0) % 59.57/24.75 | % 59.57/24.75 | Equations (674) can reduce 462 to: % 59.57/24.75 | (435) ~ (e1 = e0) % 59.57/24.75 | % 59.57/24.75 | Simplifying 435 yields: % 59.57/24.75 | (233) ~ (e1 = e0) % 59.57/24.75 | % 59.57/24.75 | From (674) and (23) follows: % 59.57/24.75 | (3148) op(e2, e2) = e0 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (125), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (858) all_0_55_55 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (858) can reduce 191 to: % 59.57/24.75 | (357) ~ (all_0_41_41 = e0) % 59.57/24.75 | % 59.57/24.75 | Equations (858) can reduce 93 to: % 59.57/24.75 | (121) ~ (all_0_50_50 = e0) % 59.57/24.75 | % 59.57/24.75 | Equations (858) can reduce 153 to: % 59.57/24.75 | (1181) ~ (all_0_56_56 = e0) % 59.57/24.75 | % 59.57/24.75 | Simplifying 1181 yields: % 59.57/24.75 | (828) ~ (all_0_56_56 = e0) % 59.57/24.75 | % 59.57/24.75 | Equations (858) can reduce 270 to: % 59.57/24.75 | (541) ~ (e3 = e0) % 59.57/24.75 | % 59.57/24.75 | Simplifying 541 yields: % 59.57/24.75 | (80) ~ (e3 = e0) % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (216), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (629) all_0_55_55 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (629,858) yields a new equation: % 59.57/24.75 | (546) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Simplifying 546 yields: % 59.57/24.75 | (431) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (431) can reduce 233 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (632) ~ (all_0_55_55 = e1) % 59.57/24.75 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (633), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (1569) all_0_56_56 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (1569) can reduce 236 to: % 59.57/24.75 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.75 | % 59.57/24.75 | Equations (1569) can reduce 16 to: % 59.57/24.75 | (464) ~ (all_0_51_51 = e1) % 59.57/24.75 | % 59.57/24.75 | Equations (1569) can reduce 828 to: % 59.57/24.75 | (233) ~ (e1 = e0) % 59.57/24.75 | % 59.57/24.75 | From (1569) and (111) follows: % 59.57/24.75 | (3175) op(e0, e2) = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (78), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (423) all_0_45_45 = e3 % 59.57/24.75 | % 59.57/24.75 | Combining equations (423,248) yields a new equation: % 59.57/24.75 | (425) e4 = e3 % 59.57/24.75 | % 59.57/24.75 | Equations (425) can reduce 188 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (427) ~ (all_0_45_45 = e3) % 59.57/24.75 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (428), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (1557) all_0_46_46 = e3 % 59.57/24.75 | % 59.57/24.75 | Combining equations (1557,1794) yields a new equation: % 59.57/24.75 | (661) e3 = e2 % 59.57/24.75 | % 59.57/24.75 | Simplifying 661 yields: % 59.57/24.75 | (662) e3 = e2 % 59.57/24.75 | % 59.57/24.75 | Equations (662) can reduce 212 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (409) ~ (all_0_46_46 = e3) % 59.57/24.75 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (1561), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (522) all_0_47_47 = e3 % 59.57/24.75 | % 59.57/24.75 | Combining equations (674,522) yields a new equation: % 59.57/24.75 | (676) e3 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (676) can reduce 80 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (1091) ~ (all_0_47_47 = e3) % 59.57/24.75 | (884) all_0_49_49 = e3 % 59.57/24.75 | % 59.57/24.75 | Equations (884) can reduce 9 to: % 59.57/24.75 | (407) ~ (all_0_44_44 = e3) % 59.57/24.75 | % 59.57/24.75 | Equations (884) can reduce 65 to: % 59.57/24.75 | (1114) ~ (all_0_53_53 = e3) % 59.57/24.75 | % 59.57/24.75 | Simplifying 1114 yields: % 59.57/24.75 | (903) ~ (all_0_53_53 = e3) % 59.57/24.75 | % 59.57/24.75 | Equations (884) can reduce 1064 to: % 59.57/24.75 | (213) ~ (e3 = e1) % 59.57/24.75 | % 59.57/24.75 | From (884) and (55) follows: % 59.57/24.75 | (1581) op(e2, e0) = e3 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (113), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (403) all_0_41_41 = e3 % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 214 to: % 59.57/24.75 | (404) ~ (all_0_42_42 = e3) % 59.57/24.75 | % 59.57/24.75 | Simplifying 404 yields: % 59.57/24.75 | (405) ~ (all_0_42_42 = e3) % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 149 to: % 59.57/24.75 | (406) ~ (all_0_44_44 = e3) % 59.57/24.75 | % 59.57/24.75 | Simplifying 406 yields: % 59.57/24.75 | (407) ~ (all_0_44_44 = e3) % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 221 to: % 59.57/24.75 | (410) ~ (all_0_50_50 = e3) % 59.57/24.75 | % 59.57/24.75 | Simplifying 410 yields: % 59.57/24.75 | (411) ~ (all_0_50_50 = e3) % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 440 to: % 59.57/24.75 | (277) ~ (e4 = e3) % 59.57/24.75 | % 59.57/24.75 | Simplifying 277 yields: % 59.57/24.75 | (188) ~ (e4 = e3) % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 357 to: % 59.57/24.75 | (80) ~ (e3 = e0) % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (168), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (415) all_0_50_50 = e3 % 59.57/24.75 | % 59.57/24.75 | Equations (415) can reduce 411 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (411) ~ (all_0_50_50 = e3) % 59.57/24.75 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (103), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (453) all_0_41_41 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (453,403) yields a new equation: % 59.57/24.75 | (455) e3 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (455) can reduce 213 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (457) ~ (all_0_41_41 = e1) % 59.57/24.75 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 457 to: % 59.57/24.75 | (213) ~ (e3 = e1) % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (458), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (459) all_0_42_42 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (459) can reduce 1380 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (1380) ~ (all_0_42_42 = e1) % 59.57/24.75 | (1381) all_0_43_43 = e1 | all_0_44_44 = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (18), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (453) all_0_41_41 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (453,403) yields a new equation: % 59.57/24.75 | (455) e3 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (455) can reduce 213 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (457) ~ (all_0_41_41 = e1) % 59.57/24.75 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (403) can reduce 457 to: % 59.57/24.75 | (213) ~ (e3 = e1) % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (152), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (1392) all_0_42_42 = e4 % 59.57/24.75 | % 59.57/24.75 | From (1392) and (210) follows: % 59.57/24.75 | (4074) op(e3, e2) = e4 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (1381), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (430) all_0_43_43 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (430,356) yields a new equation: % 59.57/24.75 | (546) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Simplifying 546 yields: % 59.57/24.75 | (431) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (431) can reduce 233 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (433) ~ (all_0_43_43 = e1) % 59.57/24.75 | (635) all_0_44_44 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (635) can reduce 220 to: % 59.57/24.75 | (1458) ~ (all_0_53_53 = e1) % 59.57/24.75 | % 59.57/24.75 | Simplifying 1458 yields: % 59.57/24.75 | (1459) ~ (all_0_53_53 = e1) % 59.57/24.75 | % 59.57/24.75 | Equations (635) can reduce 147 to: % 59.57/24.75 | (604) ~ (e2 = e1) % 59.57/24.75 | % 59.57/24.75 | Simplifying 604 yields: % 59.57/24.75 | (122) ~ (e2 = e1) % 59.57/24.75 | % 59.57/24.75 | From (635) and (138) follows: % 59.57/24.75 | (1423) op(e3, e0) = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (160), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (601) all_0_50_50 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (601) can reduce 59 to: % 59.57/24.75 | (463) ~ (all_0_51_51 = e1) % 59.57/24.75 | % 59.57/24.75 | Simplifying 463 yields: % 59.57/24.75 | (464) ~ (all_0_51_51 = e1) % 59.57/24.75 | % 59.57/24.75 | Equations (601) can reduce 190 to: % 59.57/24.75 | (1458) ~ (all_0_53_53 = e1) % 59.57/24.75 | % 59.57/24.75 | Simplifying 1458 yields: % 59.57/24.75 | (1459) ~ (all_0_53_53 = e1) % 59.57/24.75 | % 59.57/24.75 | Equations (601) can reduce 121 to: % 59.57/24.75 | (233) ~ (e1 = e0) % 59.57/24.75 | % 59.57/24.75 | From (601) and (242) follows: % 59.57/24.75 | (2235) op(e1, e3) = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (7), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (504) all_0_51_51 = e2 % 59.57/24.75 | % 59.57/24.75 | Equations (504) can reduce 1099 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (1099) ~ (all_0_51_51 = e2) % 59.57/24.75 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (196), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (607) all_0_53_53 = e2 % 59.57/24.75 | % 59.57/24.75 | Equations (607) can reduce 509 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (509) ~ (all_0_53_53 = e2) % 59.57/24.75 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (610), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (1298) all_0_53_53 = e4 % 59.57/24.75 | % 59.57/24.75 | Equations (1298) can reduce 6 to: % 59.57/24.75 | (475) ~ (all_0_51_51 = e4) % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (1100), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (1101) all_0_51_51 = e4 % 59.57/24.75 | % 59.57/24.75 | Equations (1101) can reduce 475 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (475) ~ (all_0_51_51 = e4) % 59.57/24.75 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (1104), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (1109) all_0_51_51 = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (1109) can reduce 464 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (464) ~ (all_0_51_51 = e1) % 59.57/24.75 | (660) all_0_51_51 = e3 % 59.57/24.75 | % 59.57/24.75 | From (660) and (186) follows: % 59.57/24.75 | (1552) op(e1, e2) = e3 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (56), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (696) unit = e2 % 59.57/24.75 | % 59.57/24.75 | From (696) and (227) follows: % 59.57/24.75 | (4284) op(e4, e2) = e4 % 59.57/24.75 | % 59.57/24.75 | From (696) and (40) follows: % 59.57/24.75 | (4285) op(e3, e2) = e3 % 59.57/24.75 | % 59.57/24.75 | From (696) and (32) follows: % 59.57/24.75 | (698) op(e2, e2) = e2 % 59.57/24.75 | % 59.57/24.75 | From (696) and (28) follows: % 59.57/24.75 | (699) op(e1, e2) = e1 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.57/24.75 | (323) e4 = e2 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.57/24.75 | (425) e4 = e3 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 59.57/24.75 | (330) e2 = e0 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.57/24.75 | (455) e3 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (323,425) yields a new equation: % 59.57/24.75 | (662) e3 = e2 % 59.57/24.75 | % 59.57/24.75 | Combining equations (662,455) yields a new equation: % 59.57/24.75 | (616) e2 = e1 % 59.57/24.75 | % 59.57/24.75 | Simplifying 616 yields: % 59.57/24.75 | (617) e2 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (617,330) yields a new equation: % 59.57/24.75 | (546) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Simplifying 546 yields: % 59.57/24.75 | (431) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (431) can reduce 233 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (707) ~ (unit = e2) % 59.57/24.75 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (708), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (709) unit = e4 % 59.57/24.75 | % 59.57/24.75 | From (709) and (24) follows: % 59.57/24.75 | (33325) op(e4, e3) = e3 % 59.57/24.75 | % 59.57/24.75 | From (709) and (227) follows: % 59.57/24.75 | (710) op(e4, e4) = e4 % 59.57/24.75 | % 59.57/24.75 | From (709) and (42) follows: % 59.57/24.75 | (713) op(e0, e4) = e0 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.57/24.75 | (630) e4 = e1 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.57/24.75 | (425) e4 = e3 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.57/24.75 | (676) e3 = e0 % 59.57/24.75 | % 59.57/24.75 | Combining equations (630,425) yields a new equation: % 59.57/24.75 | (455) e3 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (455,676) yields a new equation: % 59.57/24.75 | (546) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Simplifying 546 yields: % 59.57/24.75 | (431) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (431) can reduce 233 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (724) ~ (unit = e4) % 59.57/24.75 | (725) unit = e3 | unit = e1 | unit = e0 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (725), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (726) unit = e0 % 59.57/24.75 | % 59.57/24.75 | From (726) and (244) follows: % 59.57/24.75 | (2207) op(e0, e4) = e4 % 59.57/24.75 | % 59.57/24.75 | From (726) and (15) follows: % 59.57/24.75 | (1508) op(e0, e2) = e2 % 59.57/24.75 | % 59.57/24.75 | From (726) and (227) follows: % 59.57/24.75 | (3205) op(e4, e0) = e4 % 59.57/24.75 | % 59.57/24.75 | From (726) and (32) follows: % 59.57/24.75 | (727) op(e2, e0) = e2 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 59.57/24.75 | (397) e4 = e0 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.57/24.75 | (662) e3 = e2 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.57/24.75 | (425) e4 = e3 % 59.57/24.75 | % 59.57/24.75 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 59.57/24.75 | (617) e2 = e1 % 59.57/24.75 | % 59.57/24.75 | Combining equations (397,425) yields a new equation: % 59.57/24.75 | (676) e3 = e0 % 59.57/24.75 | % 59.57/24.75 | Combining equations (662,676) yields a new equation: % 59.57/24.75 | (391) e2 = e0 % 59.57/24.75 | % 59.57/24.75 | Simplifying 391 yields: % 59.57/24.75 | (330) e2 = e0 % 59.57/24.75 | % 59.57/24.75 | Combining equations (617,330) yields a new equation: % 59.57/24.75 | (546) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Simplifying 546 yields: % 59.57/24.75 | (431) e1 = e0 % 59.57/24.75 | % 59.57/24.75 | Equations (431) can reduce 233 to: % 59.57/24.75 | (266) $false % 59.57/24.75 | % 59.57/24.75 |-The branch is then unsatisfiable % 59.57/24.75 |-Branch two: % 59.57/24.75 | (734) ~ (unit = e0) % 59.57/24.75 | (735) unit = e3 | unit = e1 % 59.57/24.75 | % 59.57/24.75 +-Applying beta-rule and splitting (735), into two cases. % 59.57/24.75 |-Branch one: % 59.57/24.75 | (736) unit = e1 % 59.57/24.75 | % 59.57/24.75 | Equations (736) can reduce 734 to: % 59.57/24.76 | (233) ~ (e1 = e0) % 59.57/24.76 | % 59.57/24.76 | From (736) and (24) follows: % 59.57/24.76 | (1934) op(e1, e3) = e3 % 59.57/24.76 | % 59.57/24.76 | From (736) and (15) follows: % 59.57/24.76 | (515) op(e1, e2) = e2 % 59.57/24.76 | % 59.57/24.76 | From (736) and (227) follows: % 59.57/24.76 | (739) op(e4, e1) = e4 % 59.57/24.76 | % 59.57/24.76 | From (736) and (42) follows: % 59.57/24.76 | (3221) op(e0, e1) = e0 % 59.57/24.76 | % 59.57/24.76 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.57/24.76 | (425) e4 = e3 % 59.57/24.76 | % 59.57/24.76 | Instantiating formula (29) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.57/24.76 | (455) e3 = e1 % 59.57/24.76 | % 59.57/24.76 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.57/24.76 | (662) e3 = e2 % 59.57/24.76 | % 59.57/24.76 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.57/24.76 | (397) e4 = e0 % 59.57/24.76 | % 59.57/24.76 | Combining equations (397,425) yields a new equation: % 59.57/24.76 | (676) e3 = e0 % 59.57/24.76 | % 59.57/24.76 | Combining equations (676,662) yields a new equation: % 59.57/24.76 | (330) e2 = e0 % 59.57/24.76 | % 59.57/24.76 | Combining equations (455,662) yields a new equation: % 59.57/24.76 | (617) e2 = e1 % 59.57/24.76 | % 59.57/24.76 | Combining equations (330,617) yields a new equation: % 59.57/24.76 | (431) e1 = e0 % 59.57/24.76 | % 59.57/24.76 | Equations (431) can reduce 233 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (748) ~ (unit = e1) % 59.57/24.76 | (749) unit = e3 % 59.57/24.76 | % 59.57/24.76 | From (749) and (209) follows: % 59.57/24.76 | (1667) op(e3, e0) = e0 % 59.57/24.76 | % 59.57/24.76 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 59.57/24.76 | (431) e1 = e0 % 59.57/24.76 | % 59.57/24.76 | Equations (431) can reduce 233 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (1453) ~ (all_0_53_53 = e4) % 59.57/24.76 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (1694), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (1208) all_0_53_53 = e1 % 59.57/24.76 | % 59.57/24.76 | Equations (1208) can reduce 1459 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (1459) ~ (all_0_53_53 = e1) % 59.57/24.76 | (665) all_0_53_53 = e3 % 59.57/24.76 | % 59.57/24.76 | Equations (665) can reduce 903 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (759) ~ (all_0_50_50 = e1) % 59.57/24.76 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (418), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (660) all_0_51_51 = e3 % 59.57/24.76 | % 59.57/24.76 | Equations (660) can reduce 464 to: % 59.57/24.76 | (213) ~ (e3 = e1) % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (595), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (545) all_0_46_46 = e1 % 59.57/24.76 | % 59.57/24.76 | Combining equations (1794,545) yields a new equation: % 59.57/24.76 | (616) e2 = e1 % 59.57/24.76 | % 59.57/24.76 | Simplifying 616 yields: % 59.57/24.76 | (617) e2 = e1 % 59.57/24.76 | % 59.57/24.76 | Equations (617) can reduce 122 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (549) ~ (all_0_46_46 = e1) % 59.57/24.76 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.57/24.76 | % 59.57/24.76 | Equations (1794) can reduce 549 to: % 59.57/24.76 | (122) ~ (e2 = e1) % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (1168), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (1109) all_0_51_51 = e1 % 59.57/24.76 | % 59.57/24.76 | Combining equations (660,1109) yields a new equation: % 59.57/24.76 | (454) e3 = e1 % 59.57/24.76 | % 59.57/24.76 | Simplifying 454 yields: % 59.57/24.76 | (455) e3 = e1 % 59.57/24.76 | % 59.57/24.76 | Equations (455) can reduce 213 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (464) ~ (all_0_51_51 = e1) % 59.57/24.76 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (1202), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (642) all_0_52_52 = e1 % 59.57/24.76 | % 59.57/24.76 | Combining equations (352,642) yields a new equation: % 59.57/24.76 | (616) e2 = e1 % 59.57/24.76 | % 59.57/24.76 | Simplifying 616 yields: % 59.57/24.76 | (617) e2 = e1 % 59.57/24.76 | % 59.57/24.76 | Equations (617) can reduce 122 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (646) ~ (all_0_52_52 = e1) % 59.57/24.76 | (1208) all_0_53_53 = e1 % 59.57/24.76 | % 59.57/24.76 | Equations (1208) can reduce 1459 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (664) ~ (all_0_51_51 = e3) % 59.57/24.76 | (665) all_0_53_53 = e3 % 59.57/24.76 | % 59.57/24.76 | Equations (665) can reduce 903 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (1890) ~ (all_0_42_42 = e4) % 59.57/24.76 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (180), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (516) all_0_42_42 = e3 % 59.57/24.76 | % 59.57/24.76 | Equations (516) can reduce 405 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (405) ~ (all_0_42_42 = e3) % 59.57/24.76 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.57/24.76 | % 59.57/24.76 +-Applying beta-rule and splitting (64), into two cases. % 59.57/24.76 |-Branch one: % 59.57/24.76 | (437) all_0_41_41 = e4 % 59.57/24.76 | % 59.57/24.76 | Combining equations (437,403) yields a new equation: % 59.57/24.76 | (424) e4 = e3 % 59.57/24.76 | % 59.57/24.76 | Simplifying 424 yields: % 59.57/24.76 | (425) e4 = e3 % 59.57/24.76 | % 59.57/24.76 | Equations (425) can reduce 188 to: % 59.57/24.76 | (266) $false % 59.57/24.76 | % 59.57/24.76 |-The branch is then unsatisfiable % 59.57/24.76 |-Branch two: % 59.57/24.76 | (440) ~ (all_0_41_41 = e4) % 59.57/24.76 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.57/24.76 | % 59.63/24.76 | Equations (403) can reduce 440 to: % 59.63/24.76 | (277) ~ (e4 = e3) % 59.63/24.76 | % 59.63/24.76 | Simplifying 277 yields: % 59.63/24.76 | (188) ~ (e4 = e3) % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (521), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (522) all_0_47_47 = e3 % 59.63/24.76 | % 59.63/24.76 | Combining equations (674,522) yields a new equation: % 59.63/24.76 | (676) e3 = e0 % 59.63/24.76 | % 59.63/24.76 | Equations (676) can reduce 80 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (1091) ~ (all_0_47_47 = e3) % 59.63/24.76 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1092), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (660) all_0_51_51 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (660) can reduce 61 to: % 59.63/24.76 | (405) ~ (all_0_42_42 = e3) % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (231), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (775) all_0_50_50 = e4 % 59.63/24.76 | % 59.63/24.76 | Equations (775) can reduce 566 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (566) ~ (all_0_50_50 = e4) % 59.63/24.76 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1071), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (1101) all_0_51_51 = e4 % 59.63/24.76 | % 59.63/24.76 | Combining equations (660,1101) yields a new equation: % 59.63/24.76 | (425) e4 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (425) can reduce 188 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (475) ~ (all_0_51_51 = e4) % 59.63/24.76 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1294), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (565) all_0_52_52 = e4 % 59.63/24.76 | % 59.63/24.76 | Combining equations (352,565) yields a new equation: % 59.63/24.76 | (323) e4 = e2 % 59.63/24.76 | % 59.63/24.76 | Equations (323) can reduce 48 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (780) ~ (all_0_52_52 = e4) % 59.63/24.76 | (1298) all_0_53_53 = e4 % 59.63/24.76 | % 59.63/24.76 | Equations (1298) can reduce 220 to: % 59.63/24.76 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (26), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (446) all_0_44_44 = e4 % 59.63/24.76 | % 59.63/24.76 | Equations (446) can reduce 1390 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.76 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (112), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (635) all_0_44_44 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (635) can reduce 73 to: % 59.63/24.76 | (1380) ~ (all_0_42_42 = e1) % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1969), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (559) all_0_42_42 = e0 % 59.63/24.76 | % 59.63/24.76 | Equations (559) can reduce 358 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (358) ~ (all_0_42_42 = e0) % 59.63/24.76 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (2510), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (459) all_0_42_42 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (459) can reduce 1380 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (1380) ~ (all_0_42_42 = e1) % 59.63/24.76 | (516) all_0_42_42 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (516) can reduce 405 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (639) ~ (all_0_44_44 = e1) % 59.63/24.76 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1391), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (1414) all_0_44_44 = e0 % 59.63/24.76 | % 59.63/24.76 | Equations (1414) can reduce 360 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (360) ~ (all_0_44_44 = e0) % 59.63/24.76 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1417), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (635) all_0_44_44 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (635) can reduce 639 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (639) ~ (all_0_44_44 = e1) % 59.63/24.76 | (532) all_0_44_44 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (532) can reduce 407 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (664) ~ (all_0_51_51 = e3) % 59.63/24.76 | (1097) all_0_56_56 = e3 % 59.63/24.76 | % 59.63/24.76 | Combining equations (1097,1569) yields a new equation: % 59.63/24.76 | (454) e3 = e1 % 59.63/24.76 | % 59.63/24.76 | Simplifying 454 yields: % 59.63/24.76 | (455) e3 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (455) can reduce 213 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.76 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (1899), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (516) all_0_42_42 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (516) can reduce 73 to: % 59.63/24.76 | (406) ~ (all_0_44_44 = e3) % 59.63/24.76 | % 59.63/24.76 | Simplifying 406 yields: % 59.63/24.76 | (407) ~ (all_0_44_44 = e3) % 59.63/24.76 | % 59.63/24.76 | Equations (516) can reduce 61 to: % 59.63/24.76 | (1925) ~ (all_0_51_51 = e3) % 59.63/24.76 | % 59.63/24.76 | Simplifying 1925 yields: % 59.63/24.76 | (664) ~ (all_0_51_51 = e3) % 59.63/24.76 | % 59.63/24.76 | Equations (516) can reduce 1380 to: % 59.63/24.76 | (213) ~ (e3 = e1) % 59.63/24.76 | % 59.63/24.76 | From (516) and (210) follows: % 59.63/24.76 | (4285) op(e3, e2) = e3 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (415) all_0_50_50 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (415) can reduce 221 to: % 59.63/24.76 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.76 | % 59.63/24.76 | From (415) and (242) follows: % 59.63/24.76 | (1934) op(e1, e3) = e3 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (27), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (437) all_0_41_41 = e4 % 59.63/24.76 | % 59.63/24.76 | Equations (437) can reduce 440 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (440) ~ (all_0_41_41 = e4) % 59.63/24.76 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (164), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (471) all_0_39_39 = e4 % 59.63/24.76 | % 59.63/24.76 | Combining equations (471,317) yields a new equation: % 59.63/24.76 | (322) e4 = e2 % 59.63/24.76 | % 59.63/24.76 | Simplifying 322 yields: % 59.63/24.76 | (323) e4 = e2 % 59.63/24.76 | % 59.63/24.76 | Equations (323) can reduce 48 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (1377) ~ (all_0_39_39 = e4) % 59.63/24.76 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (4049), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (794) all_0_41_41 = e0 % 59.63/24.76 | % 59.63/24.76 | Equations (794) can reduce 357 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (357) ~ (all_0_41_41 = e0) % 59.63/24.76 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (160), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (601) all_0_50_50 = e1 % 59.63/24.76 | % 59.63/24.76 | Combining equations (415,601) yields a new equation: % 59.63/24.76 | (454) e3 = e1 % 59.63/24.76 | % 59.63/24.76 | Simplifying 454 yields: % 59.63/24.76 | (455) e3 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (455) can reduce 213 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (759) ~ (all_0_50_50 = e1) % 59.63/24.76 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (18), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (453) all_0_41_41 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (453) can reduce 149 to: % 59.63/24.76 | (4057) ~ (all_0_44_44 = e1) % 59.63/24.76 | % 59.63/24.76 | Simplifying 4057 yields: % 59.63/24.76 | (639) ~ (all_0_44_44 = e1) % 59.63/24.76 | % 59.63/24.76 | Equations (453) can reduce 1898 to: % 59.63/24.76 | (467) ~ (e3 = e1) % 59.63/24.76 | % 59.63/24.76 | Simplifying 467 yields: % 59.63/24.76 | (213) ~ (e3 = e1) % 59.63/24.76 | % 59.63/24.76 | Equations (453) can reduce 85 to: % 59.63/24.76 | (604) ~ (e2 = e1) % 59.63/24.76 | % 59.63/24.76 | Simplifying 604 yields: % 59.63/24.76 | (122) ~ (e2 = e1) % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (7), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (504) all_0_51_51 = e2 % 59.63/24.76 | % 59.63/24.76 | Equations (504) can reduce 1099 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (1099) ~ (all_0_51_51 = e2) % 59.63/24.76 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (26), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (446) all_0_44_44 = e4 % 59.63/24.76 | % 59.63/24.76 | Equations (446) can reduce 220 to: % 59.63/24.76 | (1452) ~ (all_0_53_53 = e4) % 59.63/24.76 | % 59.63/24.76 | Simplifying 1452 yields: % 59.63/24.76 | (1453) ~ (all_0_53_53 = e4) % 59.63/24.76 | % 59.63/24.76 | Equations (446) can reduce 407 to: % 59.63/24.76 | (188) ~ (e4 = e3) % 59.63/24.76 | % 59.63/24.76 | Equations (446) can reduce 639 to: % 59.63/24.76 | (110) ~ (e4 = e1) % 59.63/24.76 | % 59.63/24.76 | Equations (446) can reduce 360 to: % 59.63/24.76 | (49) ~ (e4 = e0) % 59.63/24.76 | % 59.63/24.76 | From (446) and (138) follows: % 59.63/24.76 | (4646) op(e3, e0) = e4 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (112), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (635) all_0_44_44 = e1 % 59.63/24.76 | % 59.63/24.76 | Combining equations (635,446) yields a new equation: % 59.63/24.76 | (630) e4 = e1 % 59.63/24.76 | % 59.63/24.76 | Equations (630) can reduce 110 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (639) ~ (all_0_44_44 = e1) % 59.63/24.76 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.63/24.76 | % 59.63/24.76 +-Applying beta-rule and splitting (231), into two cases. % 59.63/24.76 |-Branch one: % 59.63/24.76 | (775) all_0_50_50 = e4 % 59.63/24.76 | % 59.63/24.76 | Combining equations (415,775) yields a new equation: % 59.63/24.76 | (425) e4 = e3 % 59.63/24.76 | % 59.63/24.76 | Equations (425) can reduce 188 to: % 59.63/24.76 | (266) $false % 59.63/24.76 | % 59.63/24.76 |-The branch is then unsatisfiable % 59.63/24.76 |-Branch two: % 59.63/24.76 | (566) ~ (all_0_50_50 = e4) % 59.63/24.76 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.76 | % 59.63/24.77 | Equations (415) can reduce 566 to: % 59.63/24.77 | (277) ~ (e4 = e3) % 59.63/24.77 | % 59.63/24.77 | Simplifying 277 yields: % 59.63/24.77 | (188) ~ (e4 = e3) % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (2115), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1392) all_0_42_42 = e4 % 59.63/24.77 | % 59.63/24.77 | Combining equations (1392,516) yields a new equation: % 59.63/24.77 | (424) e4 = e3 % 59.63/24.77 | % 59.63/24.77 | Simplifying 424 yields: % 59.63/24.77 | (425) e4 = e3 % 59.63/24.77 | % 59.63/24.77 | Equations (425) can reduce 188 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (1890) ~ (all_0_42_42 = e4) % 59.63/24.77 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (1100), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1101) all_0_51_51 = e4 % 59.63/24.77 | % 59.63/24.77 | From (1101) and (186) follows: % 59.63/24.77 | (13720) op(e1, e2) = e4 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (640), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (671) all_0_49_49 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (884,671) yields a new equation: % 59.63/24.77 | (454) e3 = e1 % 59.63/24.77 | % 59.63/24.77 | Simplifying 454 yields: % 59.63/24.77 | (455) e3 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (455) can reduce 213 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.77 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (2141), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1208) all_0_53_53 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (1208) can reduce 247 to: % 59.63/24.77 | (233) ~ (e1 = e0) % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (56), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (696) unit = e2 % 59.63/24.77 | % 59.63/24.77 | From (696) and (24) follows: % 59.63/24.77 | (697) op(e2, e3) = e3 % 59.63/24.77 | % 59.63/24.77 | From (696) and (209) follows: % 59.63/24.77 | (7585) op(e2, e0) = e0 % 59.63/24.77 | % 59.63/24.77 | From (696) and (227) follows: % 59.63/24.77 | (4284) op(e4, e2) = e4 % 59.63/24.77 | % 59.63/24.77 | From (696) and (28) follows: % 59.63/24.77 | (699) op(e1, e2) = e1 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.63/24.77 | (323) e4 = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.63/24.77 | (662) e3 = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.63/24.77 | (676) e3 = e0 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.63/24.77 | (630) e4 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (630,323) yields a new equation: % 59.63/24.77 | (617) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (676,662) yields a new equation: % 59.63/24.77 | (330) e2 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (330,617) yields a new equation: % 59.63/24.77 | (431) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (431) can reduce 233 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (707) ~ (unit = e2) % 59.63/24.77 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (708), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (709) unit = e4 % 59.63/24.77 | % 59.63/24.77 | From (709) and (24) follows: % 59.63/24.77 | (33325) op(e4, e3) = e3 % 59.63/24.77 | % 59.63/24.77 | From (709) and (227) follows: % 59.63/24.77 | (710) op(e4, e4) = e4 % 59.63/24.77 | % 59.63/24.77 | From (709) and (42) follows: % 59.63/24.77 | (713) op(e0, e4) = e0 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.63/24.77 | (630) e4 = e1 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.63/24.77 | (425) e4 = e3 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.63/24.77 | (676) e3 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (630,425) yields a new equation: % 59.63/24.77 | (455) e3 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (455,676) yields a new equation: % 59.63/24.77 | (546) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Simplifying 546 yields: % 59.63/24.77 | (431) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (431) can reduce 233 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (724) ~ (unit = e4) % 59.63/24.77 | (725) unit = e3 | unit = e1 | unit = e0 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (725), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (726) unit = e0 % 59.63/24.77 | % 59.63/24.77 | From (726) and (244) follows: % 59.63/24.77 | (2207) op(e0, e4) = e4 % 59.63/24.77 | % 59.63/24.77 | From (726) and (211) follows: % 59.63/24.77 | (15180) op(e0, e1) = e1 % 59.63/24.77 | % 59.63/24.77 | From (726) and (227) follows: % 59.63/24.77 | (3205) op(e4, e0) = e4 % 59.63/24.77 | % 59.63/24.77 | From (726) and (32) follows: % 59.63/24.77 | (727) op(e2, e0) = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 59.63/24.77 | (397) e4 = e0 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.63/24.77 | (662) e3 = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.63/24.77 | (425) e4 = e3 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.63/24.77 | (630) e4 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (630,425) yields a new equation: % 59.63/24.77 | (455) e3 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (397,425) yields a new equation: % 59.63/24.77 | (676) e3 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (455,662) yields a new equation: % 59.63/24.77 | (617) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (676,662) yields a new equation: % 59.63/24.77 | (330) e2 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (617,330) yields a new equation: % 59.63/24.77 | (546) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Simplifying 546 yields: % 59.63/24.77 | (431) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (431) can reduce 233 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (734) ~ (unit = e0) % 59.63/24.77 | (735) unit = e3 | unit = e1 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (735), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (736) unit = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (736) can reduce 734 to: % 59.63/24.77 | (233) ~ (e1 = e0) % 59.63/24.77 | % 59.63/24.77 | From (736) and (15) follows: % 59.63/24.77 | (515) op(e1, e2) = e2 % 59.63/24.77 | % 59.63/24.77 | From (736) and (28) follows: % 59.63/24.77 | (740) op(e1, e1) = e1 % 59.63/24.77 | % 59.63/24.77 | From (736) and (42) follows: % 59.63/24.77 | (3221) op(e0, e1) = e0 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.63/24.77 | (323) e4 = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.63/24.77 | (617) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.63/24.77 | (397) e4 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (323,397) yields a new equation: % 59.63/24.77 | (391) e2 = e0 % 59.63/24.77 | % 59.63/24.77 | Simplifying 391 yields: % 59.63/24.77 | (330) e2 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (617,330) yields a new equation: % 59.63/24.77 | (546) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Simplifying 546 yields: % 59.63/24.77 | (431) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (431) can reduce 233 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (748) ~ (unit = e1) % 59.63/24.77 | (749) unit = e3 % 59.63/24.77 | % 59.63/24.77 | From (749) and (244) follows: % 59.63/24.77 | (750) op(e3, e4) = e4 % 59.63/24.77 | % 59.63/24.77 | From (749) and (15) follows: % 59.63/24.77 | (751) op(e3, e2) = e2 % 59.63/24.77 | % 59.63/24.77 | From (749) and (209) follows: % 59.63/24.77 | (1667) op(e3, e0) = e0 % 59.63/24.77 | % 59.63/24.77 | From (749) and (28) follows: % 59.63/24.77 | (2235) op(e1, e3) = e1 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.63/24.77 | (323) e4 = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields: % 59.63/24.77 | (662) e3 = e2 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 59.63/24.77 | (397) e4 = e0 % 59.63/24.77 | % 59.63/24.77 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.63/24.77 | (455) e3 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (323,397) yields a new equation: % 59.63/24.77 | (391) e2 = e0 % 59.63/24.77 | % 59.63/24.77 | Simplifying 391 yields: % 59.63/24.77 | (330) e2 = e0 % 59.63/24.77 | % 59.63/24.77 | Combining equations (662,455) yields a new equation: % 59.63/24.77 | (616) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Simplifying 616 yields: % 59.63/24.77 | (617) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (617,330) yields a new equation: % 59.63/24.77 | (546) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Simplifying 546 yields: % 59.63/24.77 | (431) e1 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (431) can reduce 233 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (1459) ~ (all_0_53_53 = e1) % 59.63/24.77 | (918) all_0_58_58 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (918,624) yields a new equation: % 59.63/24.77 | (617) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (617) can reduce 122 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (475) ~ (all_0_51_51 = e4) % 59.63/24.77 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (1168), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1109) all_0_51_51 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (1109) can reduce 464 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (464) ~ (all_0_51_51 = e1) % 59.63/24.77 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (2246), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1790) all_0_47_47 = e4 % 59.63/24.77 | % 59.63/24.77 | Combining equations (674,1790) yields a new equation: % 59.63/24.77 | (397) e4 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (397) can reduce 49 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (252) ~ (all_0_47_47 = e4) % 59.63/24.77 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (1202), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (642) all_0_52_52 = e1 % 59.63/24.77 | % 59.63/24.77 | Combining equations (352,642) yields a new equation: % 59.63/24.77 | (616) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Simplifying 616 yields: % 59.63/24.77 | (617) e2 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (617) can reduce 122 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (646) ~ (all_0_52_52 = e1) % 59.63/24.77 | (1208) all_0_53_53 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (1208) can reduce 1453 to: % 59.63/24.77 | (602) ~ (e4 = e1) % 59.63/24.77 | % 59.63/24.77 | Simplifying 602 yields: % 59.63/24.77 | (110) ~ (e4 = e1) % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (6548), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1101) all_0_51_51 = e4 % 59.63/24.77 | % 59.63/24.77 | Equations (1101) can reduce 475 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (475) ~ (all_0_51_51 = e4) % 59.63/24.77 | (842) all_0_56_56 = e4 % 59.63/24.77 | % 59.63/24.77 | Combining equations (1569,842) yields a new equation: % 59.63/24.77 | (630) e4 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (630) can reduce 110 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.77 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (112), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (635) all_0_44_44 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (635) can reduce 639 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (639) ~ (all_0_44_44 = e1) % 59.63/24.77 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (1391), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (1414) all_0_44_44 = e0 % 59.63/24.77 | % 59.63/24.77 | Equations (1414) can reduce 360 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (360) ~ (all_0_44_44 = e0) % 59.63/24.77 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.63/24.77 | % 59.63/24.77 +-Applying beta-rule and splitting (1417), into two cases. % 59.63/24.77 |-Branch one: % 59.63/24.77 | (635) all_0_44_44 = e1 % 59.63/24.77 | % 59.63/24.77 | Equations (635) can reduce 639 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.77 |-Branch two: % 59.63/24.77 | (639) ~ (all_0_44_44 = e1) % 59.63/24.77 | (532) all_0_44_44 = e3 % 59.63/24.77 | % 59.63/24.77 | Equations (532) can reduce 407 to: % 59.63/24.77 | (266) $false % 59.63/24.77 | % 59.63/24.77 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (457) ~ (all_0_41_41 = e1) % 59.63/24.78 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (103), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (453) all_0_41_41 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (453) can reduce 457 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (457) ~ (all_0_41_41 = e1) % 59.63/24.78 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (4053), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (453) all_0_41_41 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (453) can reduce 457 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (457) ~ (all_0_41_41 = e1) % 59.63/24.78 | (403) all_0_41_41 = e3 % 59.63/24.78 | % 59.63/24.78 | Equations (403) can reduce 1898 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (411) ~ (all_0_50_50 = e3) % 59.63/24.78 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (418), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (660) all_0_51_51 = e3 % 59.63/24.78 | % 59.63/24.78 | Equations (660) can reduce 664 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (664) ~ (all_0_51_51 = e3) % 59.63/24.78 | (665) all_0_53_53 = e3 % 59.63/24.78 | % 59.63/24.78 | Equations (665) can reduce 903 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (405) ~ (all_0_42_42 = e3) % 59.63/24.78 | (532) all_0_44_44 = e3 % 59.63/24.78 | % 59.63/24.78 | Equations (532) can reduce 407 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (466) ~ (all_0_56_56 = e1) % 59.63/24.78 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (1574), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (647) all_0_57_57 = e1 % 59.63/24.78 | % 59.63/24.78 | Combining equations (647,871) yields a new equation: % 59.63/24.78 | (630) e4 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (630) can reduce 110 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (1670) ~ (all_0_57_57 = e1) % 59.63/24.78 | (918) all_0_58_58 = e1 % 59.63/24.78 | % 59.63/24.78 | Combining equations (624,918) yields a new equation: % 59.63/24.78 | (616) e2 = e1 % 59.63/24.78 | % 59.63/24.78 | Simplifying 616 yields: % 59.63/24.78 | (617) e2 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (617) can reduce 122 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (803) ~ (all_0_55_55 = e0) % 59.63/24.78 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (895), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (538) all_0_46_46 = e0 % 59.63/24.78 | % 59.63/24.78 | Combining equations (1794,538) yields a new equation: % 59.63/24.78 | (391) e2 = e0 % 59.63/24.78 | % 59.63/24.78 | Simplifying 391 yields: % 59.63/24.78 | (330) e2 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (330) can reduce 128 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (831) ~ (all_0_46_46 = e0) % 59.63/24.78 | (858) all_0_55_55 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (858) can reduce 803 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (678) ~ (all_0_47_47 = e0) % 59.63/24.78 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (105), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (1105) all_0_47_47 = e2 % 59.63/24.78 | % 59.63/24.78 | Equations (1105) can reduce 338 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (338) ~ (all_0_47_47 = e2) % 59.63/24.78 | (1789) all_0_47_47 = e4 | all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (977), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (978) all_0_49_49 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (978) can reduce 487 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (487) ~ (all_0_49_49 = e0) % 59.63/24.78 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (981), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (671) all_0_49_49 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (671) can reduce 1064 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.78 | (884) all_0_49_49 = e3 % 59.63/24.78 | % 59.63/24.78 | Equations (884) can reduce 86 to: % 59.63/24.78 | (1091) ~ (all_0_47_47 = e3) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (1789), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (1790) all_0_47_47 = e4 % 59.63/24.78 | % 59.63/24.78 | Equations (1790) can reduce 252 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (252) ~ (all_0_47_47 = e4) % 59.63/24.78 | (1793) all_0_47_47 = e3 | all_0_47_47 = e1 | all_0_47_47 = e0 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (1793), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (674) all_0_47_47 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (674) can reduce 678 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (678) ~ (all_0_47_47 = e0) % 59.63/24.78 | (1831) all_0_47_47 = e3 | all_0_47_47 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (1831), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (654) all_0_47_47 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (654) can reduce 462 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (462) ~ (all_0_47_47 = e1) % 59.63/24.78 | (522) all_0_47_47 = e3 % 59.63/24.78 | % 59.63/24.78 | Equations (522) can reduce 1091 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (5470) ~ (all_0_43_43 = e0) % 59.63/24.78 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (5471), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (1279) all_0_48_48 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (1279) can reduce 114 to: % 59.63/24.78 | (678) ~ (all_0_47_47 = e0) % 59.63/24.78 | % 59.63/24.78 | Equations (1279) can reduce 185 to: % 59.63/24.78 | (486) ~ (all_0_49_49 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 486 yields: % 59.63/24.78 | (487) ~ (all_0_49_49 = e0) % 59.63/24.78 | % 59.63/24.78 | Equations (1279) can reduce 254 to: % 59.63/24.78 | (401) ~ (e4 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 401 yields: % 59.63/24.78 | (49) ~ (e4 = e0) % 59.63/24.78 | % 59.63/24.78 | Equations (1279) can reduce 810 to: % 59.63/24.78 | (365) ~ (e2 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 365 yields: % 59.63/24.78 | (128) ~ (e2 = e0) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (163), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (565) all_0_52_52 = e4 % 59.63/24.78 | % 59.63/24.78 | Combining equations (565,352) yields a new equation: % 59.63/24.78 | (322) e4 = e2 % 59.63/24.78 | % 59.63/24.78 | Simplifying 322 yields: % 59.63/24.78 | (323) e4 = e2 % 59.63/24.78 | % 59.63/24.78 | Equations (323) can reduce 48 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (780) ~ (all_0_52_52 = e4) % 59.63/24.78 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.63/24.78 | % 59.63/24.78 | Equations (352) can reduce 780 to: % 59.63/24.78 | (327) ~ (e4 = e2) % 59.63/24.78 | % 59.63/24.78 | Simplifying 327 yields: % 59.63/24.78 | (48) ~ (e4 = e2) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (781), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (789), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (790), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (791), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (792), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.63/24.78 | % 59.63/24.78 | Applying alpha-rule on (793) yields: % 59.63/24.78 | (794) all_0_41_41 = e0 % 59.63/24.78 | (795) all_0_58_58 = e3 % 59.63/24.78 | (407) ~ (all_0_44_44 = e3) % 59.63/24.78 | % 59.63/24.78 | Combining equations (624,795) yields a new equation: % 59.63/24.78 | (662) e3 = e2 % 59.63/24.78 | % 59.63/24.78 | Equations (662) can reduce 212 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.63/24.78 | % 59.63/24.78 | Applying alpha-rule on (800) yields: % 59.63/24.78 | (794) all_0_41_41 = e0 % 59.63/24.78 | (795) all_0_58_58 = e3 % 59.63/24.78 | (803) ~ (all_0_55_55 = e0) % 59.63/24.78 | % 59.63/24.78 | Combining equations (624,795) yields a new equation: % 59.63/24.78 | (662) e3 = e2 % 59.63/24.78 | % 59.63/24.78 | Equations (662) can reduce 212 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.63/24.78 | % 59.63/24.78 | Applying alpha-rule on (807) yields: % 59.63/24.78 | (654) all_0_47_47 = e1 % 59.63/24.78 | (352) all_0_52_52 = e2 % 59.63/24.78 | (810) ~ (all_0_48_48 = e2) % 59.63/24.78 | % 59.63/24.78 | Equations (654) can reduce 198 to: % 59.63/24.78 | (1380) ~ (all_0_42_42 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (654) can reduce 224 to: % 59.63/24.78 | (463) ~ (all_0_51_51 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 463 yields: % 59.63/24.78 | (464) ~ (all_0_51_51 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (654) can reduce 91 to: % 59.63/24.78 | (465) ~ (all_0_56_56 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 465 yields: % 59.63/24.78 | (466) ~ (all_0_56_56 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (654) can reduce 252 to: % 59.63/24.78 | (602) ~ (e4 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 602 yields: % 59.63/24.78 | (110) ~ (e4 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (654) can reduce 338 to: % 59.63/24.78 | (604) ~ (e2 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 604 yields: % 59.63/24.78 | (122) ~ (e2 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (1279) can reduce 810 to: % 59.63/24.78 | (365) ~ (e2 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 365 yields: % 59.63/24.78 | (128) ~ (e2 = e0) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (216), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (629) all_0_55_55 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (629) can reduce 191 to: % 59.63/24.78 | (457) ~ (all_0_41_41 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (629) can reduce 93 to: % 59.63/24.78 | (759) ~ (all_0_50_50 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (629) can reduce 153 to: % 59.63/24.78 | (465) ~ (all_0_56_56 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 465 yields: % 59.63/24.78 | (466) ~ (all_0_56_56 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (629) can reduce 763 to: % 59.63/24.78 | (602) ~ (e4 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 602 yields: % 59.63/24.78 | (110) ~ (e4 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (629) can reduce 304 to: % 59.63/24.78 | (604) ~ (e2 = e1) % 59.63/24.78 | % 59.63/24.78 | Simplifying 604 yields: % 59.63/24.78 | (122) ~ (e2 = e1) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (160), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (601) all_0_50_50 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (601) can reduce 759 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (759) ~ (all_0_50_50 = e1) % 59.63/24.78 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (1168), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (1109) all_0_51_51 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (1109) can reduce 464 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (464) ~ (all_0_51_51 = e1) % 59.63/24.78 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (1202), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (642) all_0_52_52 = e1 % 59.63/24.78 | % 59.63/24.78 | Combining equations (352,642) yields a new equation: % 59.63/24.78 | (616) e2 = e1 % 59.63/24.78 | % 59.63/24.78 | Simplifying 616 yields: % 59.63/24.78 | (617) e2 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (617) can reduce 122 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (646) ~ (all_0_52_52 = e1) % 59.63/24.78 | (1208) all_0_53_53 = e1 % 59.63/24.78 | % 59.63/24.78 | Equations (1208) can reduce 220 to: % 59.63/24.78 | (639) ~ (all_0_44_44 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (1208) can reduce 65 to: % 59.63/24.78 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.78 | % 59.63/24.78 | Equations (1208) can reduce 247 to: % 59.63/24.78 | (233) ~ (e1 = e0) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (231), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (775) all_0_50_50 = e4 % 59.63/24.78 | % 59.63/24.78 | Equations (775) can reduce 566 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (566) ~ (all_0_50_50 = e4) % 59.63/24.78 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (243), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (329) all_0_38_38 = e0 % 59.63/24.78 | % 59.63/24.78 | Combining equations (329,321) yields a new equation: % 59.63/24.78 | (397) e4 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (397) can reduce 49 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (332) ~ (all_0_38_38 = e0) % 59.63/24.78 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (321) can reduce 332 to: % 59.63/24.78 | (49) ~ (e4 = e0) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (125), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (858) all_0_55_55 = e0 % 59.63/24.78 | % 59.63/24.78 | Combining equations (629,858) yields a new equation: % 59.63/24.78 | (546) e1 = e0 % 59.63/24.78 | % 59.63/24.78 | Simplifying 546 yields: % 59.63/24.78 | (431) e1 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (431) can reduce 233 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (803) ~ (all_0_55_55 = e0) % 59.63/24.78 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (150), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (1378) all_0_40_40 = e4 % 59.63/24.78 | % 59.63/24.78 | Combining equations (1378,485) yields a new equation: % 59.63/24.78 | (481) e4 = e0 % 59.63/24.78 | % 59.63/24.78 | Simplifying 481 yields: % 59.63/24.78 | (397) e4 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (397) can reduce 49 to: % 59.63/24.78 | (266) $false % 59.63/24.78 | % 59.63/24.78 |-The branch is then unsatisfiable % 59.63/24.78 |-Branch two: % 59.63/24.78 | (447) ~ (all_0_40_40 = e4) % 59.63/24.78 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.63/24.78 | % 59.63/24.78 | Equations (485) can reduce 447 to: % 59.63/24.78 | (401) ~ (e4 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 401 yields: % 59.63/24.78 | (49) ~ (e4 = e0) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (863), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (679) all_0_56_56 = e0 % 59.63/24.78 | % 59.63/24.78 | Equations (679) can reduce 272 to: % 59.63/24.78 | (541) ~ (e3 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 541 yields: % 59.63/24.78 | (80) ~ (e3 = e0) % 59.63/24.78 | % 59.63/24.78 | Equations (679) can reduce 511 to: % 59.63/24.78 | (365) ~ (e2 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 365 yields: % 59.63/24.78 | (128) ~ (e2 = e0) % 59.63/24.78 | % 59.63/24.78 | Equations (679) can reduce 466 to: % 59.63/24.78 | (435) ~ (e1 = e0) % 59.63/24.78 | % 59.63/24.78 | Simplifying 435 yields: % 59.63/24.78 | (233) ~ (e1 = e0) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (2271), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (446) all_0_44_44 = e4 % 59.63/24.78 | % 59.63/24.78 | Equations (446) can reduce 9 to: % 59.63/24.78 | (255) ~ (all_0_49_49 = e4) % 59.63/24.78 | % 59.63/24.78 | Simplifying 255 yields: % 59.63/24.78 | (256) ~ (all_0_49_49 = e4) % 59.63/24.78 | % 59.63/24.78 | Equations (446) can reduce 147 to: % 59.63/24.78 | (48) ~ (e4 = e2) % 59.63/24.78 | % 59.63/24.78 | Equations (446) can reduce 639 to: % 59.63/24.78 | (110) ~ (e4 = e1) % 59.63/24.78 | % 59.63/24.78 +-Applying beta-rule and splitting (165), into two cases. % 59.63/24.78 |-Branch one: % 59.63/24.78 | (794) all_0_41_41 = e0 % 59.63/24.78 | % 59.63/24.79 | Equations (794) can reduce 457 to: % 59.63/24.79 | (435) ~ (e1 = e0) % 59.63/24.79 | % 59.63/24.79 | Simplifying 435 yields: % 59.63/24.79 | (233) ~ (e1 = e0) % 59.63/24.79 | % 59.63/24.79 | From (794) and (219) follows: % 59.63/24.79 | (5573) op(e3, e3) = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (144), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (403) all_0_41_41 = e3 % 59.63/24.79 | % 59.63/24.79 | Combining equations (403,794) yields a new equation: % 59.63/24.79 | (675) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 675 yields: % 59.63/24.79 | (676) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (676) can reduce 80 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.79 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.63/24.79 | % 59.63/24.79 | Equations (794) can reduce 1898 to: % 59.63/24.79 | (541) ~ (e3 = e0) % 59.63/24.79 | % 59.63/24.79 | Simplifying 541 yields: % 59.63/24.79 | (80) ~ (e3 = e0) % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (113), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (403) all_0_41_41 = e3 % 59.63/24.79 | % 59.63/24.79 | Combining equations (403,794) yields a new equation: % 59.63/24.79 | (675) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 675 yields: % 59.63/24.79 | (676) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (676) can reduce 80 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.79 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (54), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (583) all_0_49_49 = e2 % 59.63/24.79 | % 59.63/24.79 | Equations (583) can reduce 340 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (340) ~ (all_0_49_49 = e2) % 59.63/24.79 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (1899), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (516) all_0_42_42 = e3 % 59.63/24.79 | % 59.63/24.79 | Equations (516) can reduce 61 to: % 59.63/24.79 | (1925) ~ (all_0_51_51 = e3) % 59.63/24.79 | % 59.63/24.79 | Simplifying 1925 yields: % 59.63/24.79 | (664) ~ (all_0_51_51 = e3) % 59.63/24.79 | % 59.63/24.79 | Equations (516) can reduce 1380 to: % 59.63/24.79 | (213) ~ (e3 = e1) % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (415) all_0_50_50 = e3 % 59.63/24.79 | % 59.63/24.79 | From (415) and (242) follows: % 59.63/24.79 | (1934) op(e1, e3) = e3 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (586), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (974) all_0_49_49 = e4 % 59.63/24.79 | % 59.63/24.79 | Equations (974) can reduce 256 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (256) ~ (all_0_49_49 = e4) % 59.63/24.79 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (1071), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (1101) all_0_51_51 = e4 % 59.63/24.79 | % 59.63/24.79 | From (1101) and (186) follows: % 59.63/24.79 | (13720) op(e1, e2) = e4 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (977), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (978) all_0_49_49 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (978) can reduce 487 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (487) ~ (all_0_49_49 = e0) % 59.63/24.79 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (981), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (671) all_0_49_49 = e1 % 59.63/24.79 | % 59.63/24.79 | Equations (671) can reduce 1064 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.79 | (884) all_0_49_49 = e3 % 59.63/24.79 | % 59.63/24.79 | From (884) and (55) follows: % 59.63/24.79 | (1581) op(e2, e0) = e3 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (56), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (696) unit = e2 % 59.63/24.79 | % 59.63/24.79 | From (696) and (24) follows: % 59.63/24.79 | (697) op(e2, e3) = e3 % 59.63/24.79 | % 59.63/24.79 | From (696) and (209) follows: % 59.63/24.79 | (7585) op(e2, e0) = e0 % 59.63/24.79 | % 59.63/24.79 | From (696) and (227) follows: % 59.63/24.79 | (4284) op(e4, e2) = e4 % 59.63/24.79 | % 59.63/24.79 | From (696) and (28) follows: % 59.63/24.79 | (699) op(e1, e2) = e1 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.63/24.79 | (323) e4 = e2 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.63/24.79 | (662) e3 = e2 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.63/24.79 | (676) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.63/24.79 | (630) e4 = e1 % 59.63/24.79 | % 59.63/24.79 | Combining equations (323,630) yields a new equation: % 59.63/24.79 | (616) e2 = e1 % 59.63/24.79 | % 59.63/24.79 | Simplifying 616 yields: % 59.63/24.79 | (617) e2 = e1 % 59.63/24.79 | % 59.63/24.79 | Combining equations (676,662) yields a new equation: % 59.63/24.79 | (330) e2 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (330,617) yields a new equation: % 59.63/24.79 | (431) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (431) can reduce 233 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (707) ~ (unit = e2) % 59.63/24.79 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (708), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (709) unit = e4 % 59.63/24.79 | % 59.63/24.79 | From (709) and (24) follows: % 59.63/24.79 | (33325) op(e4, e3) = e3 % 59.63/24.79 | % 59.63/24.79 | From (709) and (227) follows: % 59.63/24.79 | (710) op(e4, e4) = e4 % 59.63/24.79 | % 59.63/24.79 | From (709) and (42) follows: % 59.63/24.79 | (713) op(e0, e4) = e0 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.63/24.79 | (630) e4 = e1 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.63/24.79 | (425) e4 = e3 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.63/24.79 | (676) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (630,425) yields a new equation: % 59.63/24.79 | (455) e3 = e1 % 59.63/24.79 | % 59.63/24.79 | Combining equations (455,676) yields a new equation: % 59.63/24.79 | (546) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 546 yields: % 59.63/24.79 | (431) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (431) can reduce 233 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (724) ~ (unit = e4) % 59.63/24.79 | (725) unit = e3 | unit = e1 | unit = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (725), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (726) unit = e0 % 59.63/24.79 | % 59.63/24.79 | From (726) and (244) follows: % 59.63/24.79 | (2207) op(e0, e4) = e4 % 59.63/24.79 | % 59.63/24.79 | From (726) and (211) follows: % 59.63/24.79 | (15180) op(e0, e1) = e1 % 59.63/24.79 | % 59.63/24.79 | From (726) and (32) follows: % 59.63/24.79 | (727) op(e2, e0) = e2 % 59.63/24.79 | % 59.63/24.79 | From (726) and (42) follows: % 59.63/24.79 | (728) op(e0, e0) = e0 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.63/24.79 | (662) e3 = e2 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.63/24.79 | (425) e4 = e3 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.63/24.79 | (630) e4 = e1 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.63/24.79 | (330) e2 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (425,630) yields a new equation: % 59.63/24.79 | (454) e3 = e1 % 59.63/24.79 | % 59.63/24.79 | Simplifying 454 yields: % 59.63/24.79 | (455) e3 = e1 % 59.63/24.79 | % 59.63/24.79 | Combining equations (662,455) yields a new equation: % 59.63/24.79 | (616) e2 = e1 % 59.63/24.79 | % 59.63/24.79 | Simplifying 616 yields: % 59.63/24.79 | (617) e2 = e1 % 59.63/24.79 | % 59.63/24.79 | Combining equations (617,330) yields a new equation: % 59.63/24.79 | (546) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 546 yields: % 59.63/24.79 | (431) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (431) can reduce 233 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (734) ~ (unit = e0) % 59.63/24.79 | (735) unit = e3 | unit = e1 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (735), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (736) unit = e1 % 59.63/24.79 | % 59.63/24.79 | Equations (736) can reduce 734 to: % 59.63/24.79 | (233) ~ (e1 = e0) % 59.63/24.79 | % 59.63/24.79 | From (736) and (15) follows: % 59.63/24.79 | (515) op(e1, e2) = e2 % 59.63/24.79 | % 59.63/24.79 | From (736) and (28) follows: % 59.63/24.79 | (740) op(e1, e1) = e1 % 59.63/24.79 | % 59.63/24.79 | From (736) and (42) follows: % 59.63/24.79 | (3221) op(e0, e1) = e0 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.63/24.79 | (323) e4 = e2 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.63/24.79 | (617) e2 = e1 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.63/24.79 | (397) e4 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (323,397) yields a new equation: % 59.63/24.79 | (391) e2 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 391 yields: % 59.63/24.79 | (330) e2 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (617,330) yields a new equation: % 59.63/24.79 | (546) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 546 yields: % 59.63/24.79 | (431) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (431) can reduce 233 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (748) ~ (unit = e1) % 59.63/24.79 | (749) unit = e3 % 59.63/24.79 | % 59.63/24.79 | From (749) and (40) follows: % 59.63/24.79 | (3715) op(e3, e3) = e3 % 59.63/24.79 | % 59.63/24.79 | From (749) and (28) follows: % 59.63/24.79 | (2235) op(e1, e3) = e1 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.63/24.79 | (676) e3 = e0 % 59.63/24.79 | % 59.63/24.79 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.63/24.79 | (455) e3 = e1 % 59.63/24.79 | % 59.63/24.79 | Combining equations (455,676) yields a new equation: % 59.63/24.79 | (546) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 546 yields: % 59.63/24.79 | (431) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (431) can reduce 233 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (475) ~ (all_0_51_51 = e4) % 59.63/24.79 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (164), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (471) all_0_39_39 = e4 % 59.63/24.79 | % 59.63/24.79 | Combining equations (471,317) yields a new equation: % 59.63/24.79 | (322) e4 = e2 % 59.63/24.79 | % 59.63/24.79 | Simplifying 322 yields: % 59.63/24.79 | (323) e4 = e2 % 59.63/24.79 | % 59.63/24.79 | Equations (323) can reduce 48 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (1377) ~ (all_0_39_39 = e4) % 59.63/24.79 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.63/24.79 | % 59.63/24.79 | Equations (317) can reduce 1377 to: % 59.63/24.79 | (327) ~ (e4 = e2) % 59.63/24.79 | % 59.63/24.79 | Simplifying 327 yields: % 59.63/24.79 | (48) ~ (e4 = e2) % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (1294), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (565) all_0_52_52 = e4 % 59.63/24.79 | % 59.63/24.79 | Combining equations (352,565) yields a new equation: % 59.63/24.79 | (323) e4 = e2 % 59.63/24.79 | % 59.63/24.79 | Equations (323) can reduce 48 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (780) ~ (all_0_52_52 = e4) % 59.63/24.79 | (1298) all_0_53_53 = e4 % 59.63/24.79 | % 59.63/24.79 | Combining equations (1208,1298) yields a new equation: % 59.63/24.79 | (630) e4 = e1 % 59.63/24.79 | % 59.63/24.79 | Equations (630) can reduce 110 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (411) ~ (all_0_50_50 = e3) % 59.63/24.79 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (418), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (660) all_0_51_51 = e3 % 59.63/24.79 | % 59.63/24.79 | Equations (660) can reduce 664 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (664) ~ (all_0_51_51 = e3) % 59.63/24.79 | (665) all_0_53_53 = e3 % 59.63/24.79 | % 59.63/24.79 | Combining equations (1208,665) yields a new equation: % 59.63/24.79 | (455) e3 = e1 % 59.63/24.79 | % 59.63/24.79 | Equations (455) can reduce 213 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (405) ~ (all_0_42_42 = e3) % 59.63/24.79 | (532) all_0_44_44 = e3 % 59.63/24.79 | % 59.63/24.79 | Combining equations (446,532) yields a new equation: % 59.63/24.79 | (424) e4 = e3 % 59.63/24.79 | % 59.63/24.79 | Simplifying 424 yields: % 59.63/24.79 | (425) e4 = e3 % 59.63/24.79 | % 59.63/24.79 | Equations (425) can reduce 188 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (357) ~ (all_0_41_41 = e0) % 59.63/24.79 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (395), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (794) all_0_41_41 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (794) can reduce 357 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (357) ~ (all_0_41_41 = e0) % 59.63/24.79 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.63/24.79 | % 59.63/24.79 +-Applying beta-rule and splitting (895), into two cases. % 59.63/24.79 |-Branch one: % 59.63/24.79 | (538) all_0_46_46 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (1794,538) yields a new equation: % 59.63/24.79 | (391) e2 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 391 yields: % 59.63/24.79 | (330) e2 = e0 % 59.63/24.79 | % 59.63/24.79 | Equations (330) can reduce 128 to: % 59.63/24.79 | (266) $false % 59.63/24.79 | % 59.63/24.79 |-The branch is then unsatisfiable % 59.63/24.79 |-Branch two: % 59.63/24.79 | (831) ~ (all_0_46_46 = e0) % 59.63/24.79 | (858) all_0_55_55 = e0 % 59.63/24.79 | % 59.63/24.79 | Combining equations (629,858) yields a new equation: % 59.63/24.79 | (546) e1 = e0 % 59.63/24.79 | % 59.63/24.79 | Simplifying 546 yields: % 59.63/24.80 | (431) e1 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (431) can reduce 233 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.80 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (7998), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (974) all_0_49_49 = e4 % 59.63/24.80 | % 59.63/24.80 | Equations (974) can reduce 256 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (256) ~ (all_0_49_49 = e4) % 59.63/24.80 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (8013), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (1298) all_0_53_53 = e4 % 59.63/24.80 | % 59.63/24.80 | Combining equations (1208,1298) yields a new equation: % 59.63/24.80 | (630) e4 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (630) can reduce 110 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (1453) ~ (all_0_53_53 = e4) % 59.63/24.80 | (910) all_0_58_58 = e4 % 59.63/24.80 | % 59.63/24.80 | Combining equations (624,910) yields a new equation: % 59.63/24.80 | (323) e4 = e2 % 59.63/24.80 | % 59.63/24.80 | Equations (323) can reduce 48 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (828) ~ (all_0_56_56 = e0) % 59.63/24.80 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (924), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (875) all_0_57_57 = e0 % 59.63/24.80 | % 59.63/24.80 | Combining equations (871,875) yields a new equation: % 59.63/24.80 | (481) e4 = e0 % 59.63/24.80 | % 59.63/24.80 | Simplifying 481 yields: % 59.63/24.80 | (397) e4 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (397) can reduce 49 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (364) ~ (all_0_57_57 = e0) % 59.63/24.80 | (914) all_0_58_58 = e0 % 59.63/24.80 | % 59.63/24.80 | Combining equations (914,624) yields a new equation: % 59.63/24.80 | (330) e2 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (330) can reduce 128 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (632) ~ (all_0_55_55 = e1) % 59.63/24.80 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (633), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (1569) all_0_56_56 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (1569) can reduce 466 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (466) ~ (all_0_56_56 = e1) % 59.63/24.80 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (1574), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (647) all_0_57_57 = e1 % 59.63/24.80 | % 59.63/24.80 | Combining equations (647,871) yields a new equation: % 59.63/24.80 | (630) e4 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (630) can reduce 110 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (1670) ~ (all_0_57_57 = e1) % 59.63/24.80 | (918) all_0_58_58 = e1 % 59.63/24.80 | % 59.63/24.80 | Combining equations (624,918) yields a new equation: % 59.63/24.80 | (616) e2 = e1 % 59.63/24.80 | % 59.63/24.80 | Simplifying 616 yields: % 59.63/24.80 | (617) e2 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (617) can reduce 122 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.63/24.80 | % 59.63/24.80 | Applying alpha-rule on (813) yields: % 59.63/24.80 | (654) all_0_47_47 = e1 % 59.63/24.80 | (352) all_0_52_52 = e2 % 59.63/24.80 | (464) ~ (all_0_51_51 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (654) can reduce 198 to: % 59.63/24.80 | (1380) ~ (all_0_42_42 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (654) can reduce 224 to: % 59.63/24.80 | (463) ~ (all_0_51_51 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 463 yields: % 59.63/24.80 | (464) ~ (all_0_51_51 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (654) can reduce 91 to: % 59.63/24.80 | (465) ~ (all_0_56_56 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 465 yields: % 59.63/24.80 | (466) ~ (all_0_56_56 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (654) can reduce 252 to: % 59.63/24.80 | (602) ~ (e4 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 602 yields: % 59.63/24.80 | (110) ~ (e4 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (654) can reduce 338 to: % 59.63/24.80 | (604) ~ (e2 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 604 yields: % 59.63/24.80 | (122) ~ (e2 = e1) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (216), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (629) all_0_55_55 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (629) can reduce 191 to: % 59.63/24.80 | (457) ~ (all_0_41_41 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (629) can reduce 93 to: % 59.63/24.80 | (759) ~ (all_0_50_50 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (629) can reduce 153 to: % 59.63/24.80 | (465) ~ (all_0_56_56 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 465 yields: % 59.63/24.80 | (466) ~ (all_0_56_56 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (629) can reduce 763 to: % 59.63/24.80 | (602) ~ (e4 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 602 yields: % 59.63/24.80 | (110) ~ (e4 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (629) can reduce 304 to: % 59.63/24.80 | (604) ~ (e2 = e1) % 59.63/24.80 | % 59.63/24.80 | Simplifying 604 yields: % 59.63/24.80 | (122) ~ (e2 = e1) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (160), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (601) all_0_50_50 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (601) can reduce 759 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (759) ~ (all_0_50_50 = e1) % 59.63/24.80 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (1168), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (1109) all_0_51_51 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (1109) can reduce 464 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (464) ~ (all_0_51_51 = e1) % 59.63/24.80 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (1202), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (642) all_0_52_52 = e1 % 59.63/24.80 | % 59.63/24.80 | Combining equations (352,642) yields a new equation: % 59.63/24.80 | (616) e2 = e1 % 59.63/24.80 | % 59.63/24.80 | Simplifying 616 yields: % 59.63/24.80 | (617) e2 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (617) can reduce 122 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (646) ~ (all_0_52_52 = e1) % 59.63/24.80 | (1208) all_0_53_53 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (1208) can reduce 220 to: % 59.63/24.80 | (639) ~ (all_0_44_44 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (1208) can reduce 65 to: % 59.63/24.80 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.80 | % 59.63/24.80 | Equations (1208) can reduce 247 to: % 59.63/24.80 | (233) ~ (e1 = e0) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (231), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (775) all_0_50_50 = e4 % 59.63/24.80 | % 59.63/24.80 | Equations (775) can reduce 566 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (566) ~ (all_0_50_50 = e4) % 59.63/24.80 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (243), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (329) all_0_38_38 = e0 % 59.63/24.80 | % 59.63/24.80 | Combining equations (329,321) yields a new equation: % 59.63/24.80 | (397) e4 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (397) can reduce 49 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (332) ~ (all_0_38_38 = e0) % 59.63/24.80 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (321) can reduce 332 to: % 59.63/24.80 | (49) ~ (e4 = e0) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (125), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (858) all_0_55_55 = e0 % 59.63/24.80 | % 59.63/24.80 | Combining equations (629,858) yields a new equation: % 59.63/24.80 | (546) e1 = e0 % 59.63/24.80 | % 59.63/24.80 | Simplifying 546 yields: % 59.63/24.80 | (431) e1 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (431) can reduce 233 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (803) ~ (all_0_55_55 = e0) % 59.63/24.80 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (150), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (1378) all_0_40_40 = e4 % 59.63/24.80 | % 59.63/24.80 | Combining equations (1378,485) yields a new equation: % 59.63/24.80 | (481) e4 = e0 % 59.63/24.80 | % 59.63/24.80 | Simplifying 481 yields: % 59.63/24.80 | (397) e4 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (397) can reduce 49 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (447) ~ (all_0_40_40 = e4) % 59.63/24.80 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.63/24.80 | % 59.63/24.80 | Equations (485) can reduce 447 to: % 59.63/24.80 | (401) ~ (e4 = e0) % 59.63/24.80 | % 59.63/24.80 | Simplifying 401 yields: % 59.63/24.80 | (49) ~ (e4 = e0) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (863), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (679) all_0_56_56 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (679) can reduce 272 to: % 59.63/24.80 | (541) ~ (e3 = e0) % 59.63/24.80 | % 59.63/24.80 | Simplifying 541 yields: % 59.63/24.80 | (80) ~ (e3 = e0) % 59.63/24.80 | % 59.63/24.80 | Equations (679) can reduce 511 to: % 59.63/24.80 | (365) ~ (e2 = e0) % 59.63/24.80 | % 59.63/24.80 | Simplifying 365 yields: % 59.63/24.80 | (128) ~ (e2 = e0) % 59.63/24.80 | % 59.63/24.80 | Equations (679) can reduce 466 to: % 59.63/24.80 | (435) ~ (e1 = e0) % 59.63/24.80 | % 59.63/24.80 | Simplifying 435 yields: % 59.63/24.80 | (233) ~ (e1 = e0) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (2271), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (446) all_0_44_44 = e4 % 59.63/24.80 | % 59.63/24.80 | Equations (446) can reduce 9 to: % 59.63/24.80 | (255) ~ (all_0_49_49 = e4) % 59.63/24.80 | % 59.63/24.80 | Simplifying 255 yields: % 59.63/24.80 | (256) ~ (all_0_49_49 = e4) % 59.63/24.80 | % 59.63/24.80 | Equations (446) can reduce 147 to: % 59.63/24.80 | (48) ~ (e4 = e2) % 59.63/24.80 | % 59.63/24.80 | Equations (446) can reduce 639 to: % 59.63/24.80 | (110) ~ (e4 = e1) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (165), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (794) all_0_41_41 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (794) can reduce 457 to: % 59.63/24.80 | (435) ~ (e1 = e0) % 59.63/24.80 | % 59.63/24.80 | Simplifying 435 yields: % 59.63/24.80 | (233) ~ (e1 = e0) % 59.63/24.80 | % 59.63/24.80 | From (794) and (219) follows: % 59.63/24.80 | (5573) op(e3, e3) = e0 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (144), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (403) all_0_41_41 = e3 % 59.63/24.80 | % 59.63/24.80 | Combining equations (403,794) yields a new equation: % 59.63/24.80 | (675) e3 = e0 % 59.63/24.80 | % 59.63/24.80 | Simplifying 675 yields: % 59.63/24.80 | (676) e3 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (676) can reduce 80 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.80 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.63/24.80 | % 59.63/24.80 | Equations (794) can reduce 1898 to: % 59.63/24.80 | (541) ~ (e3 = e0) % 59.63/24.80 | % 59.63/24.80 | Simplifying 541 yields: % 59.63/24.80 | (80) ~ (e3 = e0) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (113), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (403) all_0_41_41 = e3 % 59.63/24.80 | % 59.63/24.80 | Combining equations (403,794) yields a new equation: % 59.63/24.80 | (675) e3 = e0 % 59.63/24.80 | % 59.63/24.80 | Simplifying 675 yields: % 59.63/24.80 | (676) e3 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (676) can reduce 80 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.80 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (54), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (583) all_0_49_49 = e2 % 59.63/24.80 | % 59.63/24.80 | Equations (583) can reduce 340 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (340) ~ (all_0_49_49 = e2) % 59.63/24.80 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (1899), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (516) all_0_42_42 = e3 % 59.63/24.80 | % 59.63/24.80 | Equations (516) can reduce 61 to: % 59.63/24.80 | (1925) ~ (all_0_51_51 = e3) % 59.63/24.80 | % 59.63/24.80 | Simplifying 1925 yields: % 59.63/24.80 | (664) ~ (all_0_51_51 = e3) % 59.63/24.80 | % 59.63/24.80 | Equations (516) can reduce 1380 to: % 59.63/24.80 | (213) ~ (e3 = e1) % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (415) all_0_50_50 = e3 % 59.63/24.80 | % 59.63/24.80 | From (415) and (242) follows: % 59.63/24.80 | (1934) op(e1, e3) = e3 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (586), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (974) all_0_49_49 = e4 % 59.63/24.80 | % 59.63/24.80 | Equations (974) can reduce 256 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (256) ~ (all_0_49_49 = e4) % 59.63/24.80 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (1071), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (1101) all_0_51_51 = e4 % 59.63/24.80 | % 59.63/24.80 | From (1101) and (186) follows: % 59.63/24.80 | (13720) op(e1, e2) = e4 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (977), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (978) all_0_49_49 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (978) can reduce 487 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (487) ~ (all_0_49_49 = e0) % 59.63/24.80 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (981), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (671) all_0_49_49 = e1 % 59.63/24.80 | % 59.63/24.80 | Equations (671) can reduce 1064 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.80 | (884) all_0_49_49 = e3 % 59.63/24.80 | % 59.63/24.80 | From (884) and (55) follows: % 59.63/24.80 | (1581) op(e2, e0) = e3 % 59.63/24.80 | % 59.63/24.80 +-Applying beta-rule and splitting (56), into two cases. % 59.63/24.80 |-Branch one: % 59.63/24.80 | (696) unit = e2 % 59.63/24.80 | % 59.63/24.80 | From (696) and (24) follows: % 59.63/24.80 | (697) op(e2, e3) = e3 % 59.63/24.80 | % 59.63/24.80 | From (696) and (209) follows: % 59.63/24.80 | (7585) op(e2, e0) = e0 % 59.63/24.80 | % 59.63/24.80 | From (696) and (227) follows: % 59.63/24.80 | (4284) op(e4, e2) = e4 % 59.63/24.80 | % 59.63/24.80 | From (696) and (28) follows: % 59.63/24.80 | (699) op(e1, e2) = e1 % 59.63/24.80 | % 59.63/24.80 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.63/24.80 | (323) e4 = e2 % 59.63/24.80 | % 59.63/24.80 | Instantiating formula (29) with e2, e3, e3, e2 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.63/24.80 | (662) e3 = e2 % 59.63/24.80 | % 59.63/24.80 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.63/24.80 | (676) e3 = e0 % 59.63/24.80 | % 59.63/24.80 | Instantiating formula (29) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields: % 59.63/24.80 | (630) e4 = e1 % 59.63/24.80 | % 59.63/24.80 | Combining equations (323,630) yields a new equation: % 59.63/24.80 | (616) e2 = e1 % 59.63/24.80 | % 59.63/24.80 | Simplifying 616 yields: % 59.63/24.80 | (617) e2 = e1 % 59.63/24.80 | % 59.63/24.80 | Combining equations (676,662) yields a new equation: % 59.63/24.80 | (330) e2 = e0 % 59.63/24.80 | % 59.63/24.80 | Combining equations (330,617) yields a new equation: % 59.63/24.80 | (431) e1 = e0 % 59.63/24.80 | % 59.63/24.80 | Equations (431) can reduce 233 to: % 59.63/24.80 | (266) $false % 59.63/24.80 | % 59.63/24.80 |-The branch is then unsatisfiable % 59.63/24.80 |-Branch two: % 59.63/24.80 | (707) ~ (unit = e2) % 59.63/24.80 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.63/24.80 | % 59.63/24.81 +-Applying beta-rule and splitting (708), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (709) unit = e4 % 59.63/24.81 | % 59.63/24.81 | From (709) and (24) follows: % 59.63/24.81 | (33325) op(e4, e3) = e3 % 59.63/24.81 | % 59.63/24.81 | From (709) and (227) follows: % 59.63/24.81 | (710) op(e4, e4) = e4 % 59.63/24.81 | % 59.63/24.81 | From (709) and (42) follows: % 59.63/24.81 | (713) op(e0, e4) = e0 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.63/24.81 | (630) e4 = e1 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.63/24.81 | (425) e4 = e3 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.63/24.81 | (676) e3 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (630,425) yields a new equation: % 59.63/24.81 | (455) e3 = e1 % 59.63/24.81 | % 59.63/24.81 | Combining equations (455,676) yields a new equation: % 59.63/24.81 | (546) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 546 yields: % 59.63/24.81 | (431) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (431) can reduce 233 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (724) ~ (unit = e4) % 59.63/24.81 | (725) unit = e3 | unit = e1 | unit = e0 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (725), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (726) unit = e0 % 59.63/24.81 | % 59.63/24.81 | From (726) and (244) follows: % 59.63/24.81 | (2207) op(e0, e4) = e4 % 59.63/24.81 | % 59.63/24.81 | From (726) and (211) follows: % 59.63/24.81 | (15180) op(e0, e1) = e1 % 59.63/24.81 | % 59.63/24.81 | From (726) and (32) follows: % 59.63/24.81 | (727) op(e2, e0) = e2 % 59.63/24.81 | % 59.63/24.81 | From (726) and (42) follows: % 59.63/24.81 | (728) op(e0, e0) = e0 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.63/24.81 | (662) e3 = e2 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.63/24.81 | (425) e4 = e3 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields: % 59.63/24.81 | (630) e4 = e1 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.63/24.81 | (330) e2 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (425,630) yields a new equation: % 59.63/24.81 | (454) e3 = e1 % 59.63/24.81 | % 59.63/24.81 | Simplifying 454 yields: % 59.63/24.81 | (455) e3 = e1 % 59.63/24.81 | % 59.63/24.81 | Combining equations (662,455) yields a new equation: % 59.63/24.81 | (616) e2 = e1 % 59.63/24.81 | % 59.63/24.81 | Simplifying 616 yields: % 59.63/24.81 | (617) e2 = e1 % 59.63/24.81 | % 59.63/24.81 | Combining equations (617,330) yields a new equation: % 59.63/24.81 | (546) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 546 yields: % 59.63/24.81 | (431) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (431) can reduce 233 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (734) ~ (unit = e0) % 59.63/24.81 | (735) unit = e3 | unit = e1 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (735), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (736) unit = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (736) can reduce 734 to: % 59.63/24.81 | (233) ~ (e1 = e0) % 59.63/24.81 | % 59.63/24.81 | From (736) and (15) follows: % 59.63/24.81 | (515) op(e1, e2) = e2 % 59.63/24.81 | % 59.63/24.81 | From (736) and (28) follows: % 59.63/24.81 | (740) op(e1, e1) = e1 % 59.63/24.81 | % 59.63/24.81 | From (736) and (42) follows: % 59.63/24.81 | (3221) op(e0, e1) = e0 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.63/24.81 | (323) e4 = e2 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e1, e1, e1, e2 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e1, yields: % 59.63/24.81 | (617) e2 = e1 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.63/24.81 | (397) e4 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (323,397) yields a new equation: % 59.63/24.81 | (391) e2 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 391 yields: % 59.63/24.81 | (330) e2 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (617,330) yields a new equation: % 59.63/24.81 | (546) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 546 yields: % 59.63/24.81 | (431) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (431) can reduce 233 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (748) ~ (unit = e1) % 59.63/24.81 | (749) unit = e3 % 59.63/24.81 | % 59.63/24.81 | From (749) and (40) follows: % 59.63/24.81 | (3715) op(e3, e3) = e3 % 59.63/24.81 | % 59.63/24.81 | From (749) and (28) follows: % 59.63/24.81 | (2235) op(e1, e3) = e1 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e3, e3, e3, e0 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e0, yields: % 59.63/24.81 | (676) e3 = e0 % 59.63/24.81 | % 59.63/24.81 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.63/24.81 | (455) e3 = e1 % 59.63/24.81 | % 59.63/24.81 | Combining equations (455,676) yields a new equation: % 59.63/24.81 | (546) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 546 yields: % 59.63/24.81 | (431) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (431) can reduce 233 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (475) ~ (all_0_51_51 = e4) % 59.63/24.81 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (164), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (471) all_0_39_39 = e4 % 59.63/24.81 | % 59.63/24.81 | Combining equations (471,317) yields a new equation: % 59.63/24.81 | (322) e4 = e2 % 59.63/24.81 | % 59.63/24.81 | Simplifying 322 yields: % 59.63/24.81 | (323) e4 = e2 % 59.63/24.81 | % 59.63/24.81 | Equations (323) can reduce 48 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (1377) ~ (all_0_39_39 = e4) % 59.63/24.81 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.63/24.81 | % 59.63/24.81 | Equations (317) can reduce 1377 to: % 59.63/24.81 | (327) ~ (e4 = e2) % 59.63/24.81 | % 59.63/24.81 | Simplifying 327 yields: % 59.63/24.81 | (48) ~ (e4 = e2) % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (1294), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (565) all_0_52_52 = e4 % 59.63/24.81 | % 59.63/24.81 | Combining equations (352,565) yields a new equation: % 59.63/24.81 | (323) e4 = e2 % 59.63/24.81 | % 59.63/24.81 | Equations (323) can reduce 48 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (780) ~ (all_0_52_52 = e4) % 59.63/24.81 | (1298) all_0_53_53 = e4 % 59.63/24.81 | % 59.63/24.81 | Combining equations (1208,1298) yields a new equation: % 59.63/24.81 | (630) e4 = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (630) can reduce 110 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (411) ~ (all_0_50_50 = e3) % 59.63/24.81 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (418), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (660) all_0_51_51 = e3 % 59.63/24.81 | % 59.63/24.81 | Equations (660) can reduce 664 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (664) ~ (all_0_51_51 = e3) % 59.63/24.81 | (665) all_0_53_53 = e3 % 59.63/24.81 | % 59.63/24.81 | Combining equations (1208,665) yields a new equation: % 59.63/24.81 | (455) e3 = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (455) can reduce 213 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (405) ~ (all_0_42_42 = e3) % 59.63/24.81 | (532) all_0_44_44 = e3 % 59.63/24.81 | % 59.63/24.81 | Combining equations (446,532) yields a new equation: % 59.63/24.81 | (424) e4 = e3 % 59.63/24.81 | % 59.63/24.81 | Simplifying 424 yields: % 59.63/24.81 | (425) e4 = e3 % 59.63/24.81 | % 59.63/24.81 | Equations (425) can reduce 188 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (357) ~ (all_0_41_41 = e0) % 59.63/24.81 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (395), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (794) all_0_41_41 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (794) can reduce 357 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (357) ~ (all_0_41_41 = e0) % 59.63/24.81 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (895), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (538) all_0_46_46 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (1794,538) yields a new equation: % 59.63/24.81 | (391) e2 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 391 yields: % 59.63/24.81 | (330) e2 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (330) can reduce 128 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (831) ~ (all_0_46_46 = e0) % 59.63/24.81 | (858) all_0_55_55 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (629,858) yields a new equation: % 59.63/24.81 | (546) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 546 yields: % 59.63/24.81 | (431) e1 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (431) can reduce 233 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.81 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (7998), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (974) all_0_49_49 = e4 % 59.63/24.81 | % 59.63/24.81 | Equations (974) can reduce 256 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (256) ~ (all_0_49_49 = e4) % 59.63/24.81 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (8013), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (1298) all_0_53_53 = e4 % 59.63/24.81 | % 59.63/24.81 | Combining equations (1208,1298) yields a new equation: % 59.63/24.81 | (630) e4 = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (630) can reduce 110 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (1453) ~ (all_0_53_53 = e4) % 59.63/24.81 | (910) all_0_58_58 = e4 % 59.63/24.81 | % 59.63/24.81 | Combining equations (624,910) yields a new equation: % 59.63/24.81 | (323) e4 = e2 % 59.63/24.81 | % 59.63/24.81 | Equations (323) can reduce 48 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (828) ~ (all_0_56_56 = e0) % 59.63/24.81 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (924), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (875) all_0_57_57 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (871,875) yields a new equation: % 59.63/24.81 | (481) e4 = e0 % 59.63/24.81 | % 59.63/24.81 | Simplifying 481 yields: % 59.63/24.81 | (397) e4 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (397) can reduce 49 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (364) ~ (all_0_57_57 = e0) % 59.63/24.81 | (914) all_0_58_58 = e0 % 59.63/24.81 | % 59.63/24.81 | Combining equations (914,624) yields a new equation: % 59.63/24.81 | (330) e2 = e0 % 59.63/24.81 | % 59.63/24.81 | Equations (330) can reduce 128 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (632) ~ (all_0_55_55 = e1) % 59.63/24.81 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (633), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (1569) all_0_56_56 = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (1569) can reduce 466 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (466) ~ (all_0_56_56 = e1) % 59.63/24.81 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.81 | % 59.63/24.81 +-Applying beta-rule and splitting (1574), into two cases. % 59.63/24.81 |-Branch one: % 59.63/24.81 | (647) all_0_57_57 = e1 % 59.63/24.81 | % 59.63/24.81 | Combining equations (647,871) yields a new equation: % 59.63/24.81 | (630) e4 = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (630) can reduce 110 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (1670) ~ (all_0_57_57 = e1) % 59.63/24.81 | (918) all_0_58_58 = e1 % 59.63/24.81 | % 59.63/24.81 | Combining equations (624,918) yields a new equation: % 59.63/24.81 | (616) e2 = e1 % 59.63/24.81 | % 59.63/24.81 | Simplifying 616 yields: % 59.63/24.81 | (617) e2 = e1 % 59.63/24.81 | % 59.63/24.81 | Equations (617) can reduce 122 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.63/24.81 | % 59.63/24.81 | Applying alpha-rule on (819) yields: % 59.63/24.81 | (674) all_0_47_47 = e0 % 59.63/24.81 | (624) all_0_58_58 = e2 % 59.63/24.81 | (340) ~ (all_0_49_49 = e2) % 59.63/24.81 | % 59.63/24.81 | Equations (674) can reduce 678 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.63/24.81 | % 59.63/24.81 | Applying alpha-rule on (825) yields: % 59.63/24.81 | (674) all_0_47_47 = e0 % 59.63/24.81 | (624) all_0_58_58 = e2 % 59.63/24.81 | (828) ~ (all_0_56_56 = e0) % 59.63/24.81 | % 59.63/24.81 | Equations (674) can reduce 678 to: % 59.63/24.81 | (266) $false % 59.63/24.81 | % 59.63/24.81 |-The branch is then unsatisfiable % 59.63/24.81 |-Branch two: % 59.63/24.81 | (1283) ~ (all_0_48_48 = e0) % 59.63/24.82 | (875) all_0_57_57 = e0 % 59.63/24.82 | % 59.63/24.82 | Combining equations (871,875) yields a new equation: % 59.63/24.82 | (481) e4 = e0 % 59.63/24.82 | % 59.63/24.82 | Simplifying 481 yields: % 59.63/24.82 | (397) e4 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (397) can reduce 49 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (300) ~ (all_0_46_46 = e2) % 59.63/24.82 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (24428), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (378) all_0_50_50 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (378) can reduce 302 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (302) ~ (all_0_50_50 = e2) % 59.63/24.82 | (386) all_0_55_55 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (386) can reduce 304 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (342) ~ (all_0_52_52 = e2) % 59.63/24.82 | (355) all_0_52_52 = e4 | all_0_52_52 = e1 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (134), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (335) all_0_48_48 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (335) can reduce 17 to: % 59.63/24.82 | (96) ~ (all_0_43_43 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (335) can reduce 30 to: % 59.63/24.82 | (300) ~ (all_0_46_46 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (335) can reduce 114 to: % 59.63/24.82 | (338) ~ (all_0_47_47 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (335) can reduce 202 to: % 59.63/24.82 | (341) ~ (all_0_52_52 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 341 yields: % 59.63/24.82 | (342) ~ (all_0_52_52 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (335) can reduce 239 to: % 59.63/24.82 | (343) ~ (all_0_57_57 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 343 yields: % 59.63/24.82 | (344) ~ (all_0_57_57 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (335) can reduce 254 to: % 59.63/24.82 | (327) ~ (e4 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 327 yields: % 59.63/24.82 | (48) ~ (e4 = e2) % 59.63/24.82 | % 59.63/24.82 | From (335) and (192) follows: % 59.63/24.82 | (347) op(e2, e1) = e2 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (4), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (356) all_0_43_43 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (356) can reduce 31 to: % 59.63/24.82 | (357) ~ (all_0_41_41 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (356) can reduce 159 to: % 59.63/24.82 | (359) ~ (all_0_44_44 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 359 yields: % 59.63/24.82 | (360) ~ (all_0_44_44 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (356) can reduce 217 to: % 59.63/24.82 | (361) ~ (all_0_52_52 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 361 yields: % 59.63/24.82 | (72) ~ (all_0_52_52 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (356) can reduce 199 to: % 59.63/24.82 | (363) ~ (all_0_57_57 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 363 yields: % 59.63/24.82 | (364) ~ (all_0_57_57 = e0) % 59.63/24.82 | % 59.63/24.82 | From (356) and (37) follows: % 59.63/24.82 | (369) op(e3, e1) = e0 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (222), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (386) all_0_55_55 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (386) can reduce 93 to: % 59.63/24.82 | (302) ~ (all_0_50_50 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (386) can reduce 153 to: % 59.63/24.82 | (510) ~ (all_0_56_56 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 510 yields: % 59.63/24.82 | (511) ~ (all_0_56_56 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (386) can reduce 81 to: % 59.63/24.82 | (343) ~ (all_0_57_57 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 343 yields: % 59.63/24.82 | (344) ~ (all_0_57_57 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (386) can reduce 763 to: % 59.63/24.82 | (327) ~ (e4 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 327 yields: % 59.63/24.82 | (48) ~ (e4 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (386) can reduce 270 to: % 59.63/24.82 | (626) ~ (e3 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 626 yields: % 59.63/24.82 | (212) ~ (e3 = e2) % 59.63/24.82 | % 59.63/24.82 | From (386) and (74) follows: % 59.63/24.82 | (24443) op(e0, e3) = e2 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (95), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (378) all_0_50_50 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (378) can reduce 302 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (302) ~ (all_0_50_50 = e2) % 59.63/24.82 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (381), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (504) all_0_51_51 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (504) can reduce 1099 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (1099) ~ (all_0_51_51 = e2) % 59.63/24.82 | (1152) all_0_52_52 = e2 | all_0_53_53 = e2 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (1152), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (352) all_0_52_52 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (352) can reduce 342 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (342) ~ (all_0_52_52 = e2) % 59.63/24.82 | (607) all_0_53_53 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 220 to: % 59.63/24.82 | (147) ~ (all_0_44_44 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 65 to: % 59.63/24.82 | (340) ~ (all_0_49_49 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 190 to: % 59.63/24.82 | (302) ~ (all_0_50_50 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 6 to: % 59.63/24.82 | (1099) ~ (all_0_51_51 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 46 to: % 59.63/24.82 | (342) ~ (all_0_52_52 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 10 to: % 59.63/24.82 | (1186) ~ (all_0_58_58 = e2) % 59.63/24.82 | % 59.63/24.82 | Simplifying 1186 yields: % 59.63/24.82 | (908) ~ (all_0_58_58 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (607) can reduce 247 to: % 59.63/24.82 | (128) ~ (e2 = e0) % 59.63/24.82 | % 59.63/24.82 | From (607) and (84) follows: % 59.63/24.82 | (2566) op(e1, e0) = e2 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (243), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (329) all_0_38_38 = e0 % 59.63/24.82 | % 59.63/24.82 | Combining equations (329,321) yields a new equation: % 59.63/24.82 | (397) e4 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (397) can reduce 49 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (332) ~ (all_0_38_38 = e0) % 59.63/24.82 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (125), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (858) all_0_55_55 = e0 % 59.63/24.82 | % 59.63/24.82 | Combining equations (858,386) yields a new equation: % 59.63/24.82 | (330) e2 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (330) can reduce 128 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (803) ~ (all_0_55_55 = e0) % 59.63/24.82 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (863), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (679) all_0_56_56 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (679) can reduce 91 to: % 59.63/24.82 | (678) ~ (all_0_47_47 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (679) can reduce 16 to: % 59.63/24.82 | (115) ~ (all_0_51_51 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (679) can reduce 140 to: % 59.63/24.82 | (363) ~ (all_0_57_57 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 363 yields: % 59.63/24.82 | (364) ~ (all_0_57_57 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (679) can reduce 44 to: % 59.63/24.82 | (490) ~ (all_0_58_58 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 490 yields: % 59.63/24.82 | (491) ~ (all_0_58_58 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (679) can reduce 272 to: % 59.63/24.82 | (541) ~ (e3 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 541 yields: % 59.63/24.82 | (80) ~ (e3 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (679) can reduce 511 to: % 59.63/24.82 | (365) ~ (e2 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 365 yields: % 59.63/24.82 | (128) ~ (e2 = e0) % 59.63/24.82 | % 59.63/24.82 | From (679) and (111) follows: % 59.63/24.82 | (1613) op(e0, e2) = e0 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (163), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (565) all_0_52_52 = e4 % 59.63/24.82 | % 59.63/24.82 | Equations (565) can reduce 101 to: % 59.63/24.82 | (566) ~ (all_0_50_50 = e4) % 59.63/24.82 | % 59.63/24.82 | Equations (565) can reduce 11 to: % 59.63/24.82 | (838) ~ (all_0_57_57 = e4) % 59.63/24.82 | % 59.63/24.82 | Simplifying 838 yields: % 59.63/24.82 | (839) ~ (all_0_57_57 = e4) % 59.63/24.82 | % 59.63/24.82 | Equations (565) can reduce 166 to: % 59.63/24.82 | (188) ~ (e4 = e3) % 59.63/24.82 | % 59.63/24.82 | Equations (565) can reduce 342 to: % 59.63/24.82 | (48) ~ (e4 = e2) % 59.63/24.82 | % 59.63/24.82 | Equations (565) can reduce 72 to: % 59.63/24.82 | (49) ~ (e4 = e0) % 59.63/24.82 | % 59.63/24.82 | From (565) and (124) follows: % 59.63/24.82 | (570) op(e1, e1) = e4 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (171), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (265) all_0_54_54 = e4 % 59.63/24.82 | % 59.63/24.82 | Combining equations (265,268) yields a new equation: % 59.63/24.82 | (424) e4 = e3 % 59.63/24.82 | % 59.63/24.82 | Simplifying 424 yields: % 59.63/24.82 | (425) e4 = e3 % 59.63/24.82 | % 59.63/24.82 | Equations (425) can reduce 188 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (258) ~ (all_0_54_54 = e4) % 59.63/24.82 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (575), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (587) all_0_55_55 = e4 % 59.63/24.82 | % 59.63/24.82 | Combining equations (587,386) yields a new equation: % 59.63/24.82 | (322) e4 = e2 % 59.63/24.82 | % 59.63/24.82 | Simplifying 322 yields: % 59.63/24.82 | (323) e4 = e2 % 59.63/24.82 | % 59.63/24.82 | Equations (323) can reduce 48 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (763) ~ (all_0_55_55 = e4) % 59.63/24.82 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (764), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (842) all_0_56_56 = e4 % 59.63/24.82 | % 59.63/24.82 | Combining equations (679,842) yields a new equation: % 59.63/24.82 | (397) e4 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (397) can reduce 49 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (477) ~ (all_0_56_56 = e4) % 59.63/24.82 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (935), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (871) all_0_57_57 = e4 % 59.63/24.82 | % 59.63/24.82 | Equations (871) can reduce 839 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (839) ~ (all_0_57_57 = e4) % 59.63/24.82 | (910) all_0_58_58 = e4 % 59.63/24.82 | % 59.63/24.82 | Equations (910) can reduce 181 to: % 59.63/24.82 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.82 | % 59.63/24.82 | Equations (910) can reduce 119 to: % 59.63/24.82 | (256) ~ (all_0_49_49 = e4) % 59.63/24.82 | % 59.63/24.82 | Equations (910) can reduce 276 to: % 59.63/24.82 | (188) ~ (e4 = e3) % 59.63/24.82 | % 59.63/24.82 | From (910) and (245) follows: % 59.63/24.82 | (2661) op(e0, e0) = e4 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (184), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (538) all_0_46_46 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (538) can reduce 19 to: % 59.63/24.82 | (1402) ~ (all_0_47_47 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 1402 yields: % 59.63/24.82 | (678) ~ (all_0_47_47 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (538) can reduce 208 to: % 59.63/24.82 | (486) ~ (all_0_49_49 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 486 yields: % 59.63/24.82 | (487) ~ (all_0_49_49 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (538) can reduce 35 to: % 59.63/24.82 | (22202) ~ (all_0_50_50 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 22202 yields: % 59.63/24.82 | (121) ~ (all_0_50_50 = e0) % 59.63/24.82 | % 59.63/24.82 | Equations (538) can reduce 250 to: % 59.63/24.82 | (401) ~ (e4 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 401 yields: % 59.63/24.82 | (49) ~ (e4 = e0) % 59.63/24.82 | % 59.63/24.82 | From (538) and (120) follows: % 59.63/24.82 | (544) op(e2, e3) = e0 % 59.63/24.82 | % 59.63/24.82 +-Applying beta-rule and splitting (130), into two cases. % 59.63/24.82 |-Branch one: % 59.63/24.82 | (430) all_0_43_43 = e1 % 59.63/24.82 | % 59.63/24.82 | Combining equations (430,356) yields a new equation: % 59.63/24.82 | (546) e1 = e0 % 59.63/24.82 | % 59.63/24.82 | Simplifying 546 yields: % 59.63/24.82 | (431) e1 = e0 % 59.63/24.82 | % 59.63/24.82 | Equations (431) can reduce 233 to: % 59.63/24.82 | (266) $false % 59.63/24.82 | % 59.63/24.82 |-The branch is then unsatisfiable % 59.63/24.82 |-Branch two: % 59.63/24.82 | (433) ~ (all_0_43_43 = e1) % 59.63/24.82 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.63/24.82 | % 59.63/24.82 | Equations (356) can reduce 433 to: % 59.63/24.82 | (435) ~ (e1 = e0) % 59.63/24.82 | % 59.63/24.82 | Simplifying 435 yields: % 59.63/24.82 | (233) ~ (e1 = e0) % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (216), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (629) all_0_55_55 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (386,629) yields a new equation: % 59.63/24.83 | (616) e2 = e1 % 59.63/24.83 | % 59.63/24.83 | Simplifying 616 yields: % 59.63/24.83 | (617) e2 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (617) can reduce 122 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (632) ~ (all_0_55_55 = e1) % 59.63/24.83 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (633), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (1569) all_0_56_56 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (679,1569) yields a new equation: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (466) ~ (all_0_56_56 = e1) % 59.63/24.83 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (1574), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (647) all_0_57_57 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (647) can reduce 67 to: % 59.63/24.83 | (467) ~ (e3 = e1) % 59.63/24.83 | % 59.63/24.83 | Simplifying 467 yields: % 59.63/24.83 | (213) ~ (e3 = e1) % 59.63/24.83 | % 59.63/24.83 | Equations (647) can reduce 344 to: % 59.63/24.83 | (604) ~ (e2 = e1) % 59.63/24.83 | % 59.63/24.83 | Simplifying 604 yields: % 59.63/24.83 | (122) ~ (e2 = e1) % 59.63/24.83 | % 59.63/24.83 | Equations (647) can reduce 364 to: % 59.63/24.83 | (233) ~ (e1 = e0) % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (64), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (437) all_0_41_41 = e4 % 59.63/24.83 | % 59.63/24.83 | Equations (437) can reduce 440 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (440) ~ (all_0_41_41 = e4) % 59.63/24.83 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (441), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (1392) all_0_42_42 = e4 % 59.63/24.83 | % 59.63/24.83 | Equations (1392) can reduce 73 to: % 59.63/24.83 | (1903) ~ (all_0_44_44 = e4) % 59.63/24.83 | % 59.63/24.83 | Simplifying 1903 yields: % 59.63/24.83 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.83 | % 59.63/24.83 | Equations (1392) can reduce 61 to: % 59.63/24.83 | (474) ~ (all_0_51_51 = e4) % 59.63/24.83 | % 59.63/24.83 | Simplifying 474 yields: % 59.63/24.83 | (475) ~ (all_0_51_51 = e4) % 59.63/24.83 | % 59.63/24.83 | From (1392) and (210) follows: % 59.63/24.83 | (4074) op(e3, e2) = e4 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (113), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (403) all_0_41_41 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (403) can reduce 149 to: % 59.63/24.83 | (406) ~ (all_0_44_44 = e3) % 59.63/24.83 | % 59.63/24.83 | Simplifying 406 yields: % 59.63/24.83 | (407) ~ (all_0_44_44 = e3) % 59.63/24.83 | % 59.63/24.83 | Equations (403) can reduce 221 to: % 59.63/24.83 | (410) ~ (all_0_50_50 = e3) % 59.63/24.83 | % 59.63/24.83 | Simplifying 410 yields: % 59.63/24.83 | (411) ~ (all_0_50_50 = e3) % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (415) all_0_50_50 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (415) can reduce 411 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (411) ~ (all_0_50_50 = e3) % 59.63/24.83 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (26), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (446) all_0_44_44 = e4 % 59.63/24.83 | % 59.63/24.83 | Equations (446) can reduce 1390 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.83 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (241), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (378) all_0_50_50 = e2 % 59.63/24.83 | % 59.63/24.83 | Equations (378) can reduce 302 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (302) ~ (all_0_50_50 = e2) % 59.63/24.83 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (422), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (775) all_0_50_50 = e4 % 59.63/24.83 | % 59.63/24.83 | Equations (775) can reduce 566 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (566) ~ (all_0_50_50 = e4) % 59.63/24.83 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (189), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (532) all_0_44_44 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (532) can reduce 407 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (407) ~ (all_0_44_44 = e3) % 59.63/24.83 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (537), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (884) all_0_49_49 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (884) can reduce 9 to: % 59.63/24.83 | (407) ~ (all_0_44_44 = e3) % 59.63/24.83 | % 59.63/24.83 | Equations (884) can reduce 340 to: % 59.63/24.83 | (212) ~ (e3 = e2) % 59.63/24.83 | % 59.63/24.83 | From (884) and (55) follows: % 59.63/24.83 | (1581) op(e2, e0) = e3 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (1391), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (1414) all_0_44_44 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (1414) can reduce 360 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (360) ~ (all_0_44_44 = e0) % 59.63/24.83 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (418), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (660) all_0_51_51 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (660) can reduce 59 to: % 59.63/24.83 | (411) ~ (all_0_50_50 = e3) % 59.63/24.83 | % 59.63/24.83 | From (660) and (186) follows: % 59.63/24.83 | (1552) op(e1, e2) = e3 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (112), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (635) all_0_44_44 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (635) can reduce 1390 to: % 59.63/24.83 | (602) ~ (e4 = e1) % 59.63/24.83 | % 59.63/24.83 | Simplifying 602 yields: % 59.63/24.83 | (110) ~ (e4 = e1) % 59.63/24.83 | % 59.63/24.83 | From (635) and (138) follows: % 59.63/24.83 | (1423) op(e3, e0) = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (131), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (459) all_0_42_42 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (459,1392) yields a new equation: % 59.63/24.83 | (630) e4 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (630) can reduce 110 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (1380) ~ (all_0_42_42 = e1) % 59.63/24.83 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (160), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (601) all_0_50_50 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (601) can reduce 411 to: % 59.63/24.83 | (467) ~ (e3 = e1) % 59.63/24.83 | % 59.63/24.83 | Simplifying 467 yields: % 59.63/24.83 | (213) ~ (e3 = e1) % 59.63/24.83 | % 59.63/24.83 | Equations (601) can reduce 121 to: % 59.63/24.83 | (233) ~ (e1 = e0) % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (3259), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (654) all_0_47_47 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (654) can reduce 678 to: % 59.63/24.83 | (233) ~ (e1 = e0) % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (56), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (696) unit = e2 % 59.63/24.83 | % 59.63/24.83 | From (696) and (209) follows: % 59.63/24.83 | (7585) op(e2, e0) = e0 % 59.63/24.83 | % 59.63/24.83 | From (696) and (28) follows: % 59.63/24.83 | (699) op(e1, e2) = e1 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e2, e0, e0, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e0, yields: % 59.63/24.83 | (676) e3 = e0 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.63/24.83 | (455) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (676,455) yields a new equation: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (707) ~ (unit = e2) % 59.63/24.83 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (708), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (709) unit = e4 % 59.63/24.83 | % 59.63/24.83 | From (709) and (24) follows: % 59.63/24.83 | (33325) op(e4, e3) = e3 % 59.63/24.83 | % 59.63/24.83 | From (709) and (227) follows: % 59.63/24.83 | (710) op(e4, e4) = e4 % 59.63/24.83 | % 59.63/24.83 | From (709) and (42) follows: % 59.63/24.83 | (713) op(e0, e4) = e0 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.63/24.83 | (630) e4 = e1 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.63/24.83 | (425) e4 = e3 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.63/24.83 | (676) e3 = e0 % 59.63/24.83 | % 59.63/24.83 | Combining equations (630,425) yields a new equation: % 59.63/24.83 | (455) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (455,676) yields a new equation: % 59.63/24.83 | (546) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Simplifying 546 yields: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (724) ~ (unit = e4) % 59.63/24.83 | (725) unit = e3 | unit = e1 | unit = e0 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (725), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (726) unit = e0 % 59.63/24.83 | % 59.63/24.83 | From (726) and (24) follows: % 59.63/24.83 | (2208) op(e0, e3) = e3 % 59.63/24.83 | % 59.63/24.83 | From (726) and (15) follows: % 59.63/24.83 | (1508) op(e0, e2) = e2 % 59.63/24.83 | % 59.63/24.83 | From (726) and (40) follows: % 59.63/24.83 | (1639) op(e3, e0) = e3 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e3, e0, e3, e1 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e1, yields: % 59.63/24.83 | (455) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.63/24.83 | (662) e3 = e2 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 59.63/24.83 | (330) e2 = e0 % 59.63/24.83 | % 59.63/24.83 | Combining equations (662,455) yields a new equation: % 59.63/24.83 | (616) e2 = e1 % 59.63/24.83 | % 59.63/24.83 | Simplifying 616 yields: % 59.63/24.83 | (617) e2 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (617,330) yields a new equation: % 59.63/24.83 | (546) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Simplifying 546 yields: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (734) ~ (unit = e0) % 59.63/24.83 | (735) unit = e3 | unit = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (735), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (736) unit = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (736) can reduce 734 to: % 59.63/24.83 | (233) ~ (e1 = e0) % 59.63/24.83 | % 59.63/24.83 | From (736) and (15) follows: % 59.63/24.83 | (515) op(e1, e2) = e2 % 59.63/24.83 | % 59.63/24.83 | From (736) and (227) follows: % 59.63/24.83 | (739) op(e4, e1) = e4 % 59.63/24.83 | % 59.63/24.83 | From (736) and (40) follows: % 59.63/24.83 | (1652) op(e3, e1) = e3 % 59.63/24.83 | % 59.63/24.83 | From (736) and (28) follows: % 59.63/24.83 | (740) op(e1, e1) = e1 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.63/24.83 | (425) e4 = e3 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 59.63/24.83 | (676) e3 = e0 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.63/24.83 | (662) e3 = e2 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 59.63/24.83 | (630) e4 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (425,630) yields a new equation: % 59.63/24.83 | (454) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Simplifying 454 yields: % 59.63/24.83 | (455) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (455,662) yields a new equation: % 59.63/24.83 | (617) e2 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (676,662) yields a new equation: % 59.63/24.83 | (330) e2 = e0 % 59.63/24.83 | % 59.63/24.83 | Combining equations (617,330) yields a new equation: % 59.63/24.83 | (546) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Simplifying 546 yields: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (748) ~ (unit = e1) % 59.63/24.83 | (749) unit = e3 % 59.63/24.83 | % 59.63/24.83 | From (749) and (209) follows: % 59.63/24.83 | (1667) op(e3, e0) = e0 % 59.63/24.83 | % 59.63/24.83 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (462) ~ (all_0_47_47 = e1) % 59.63/24.83 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (3264), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (1109) all_0_51_51 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (660,1109) yields a new equation: % 59.63/24.83 | (454) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Simplifying 454 yields: % 59.63/24.83 | (455) e3 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (455) can reduce 213 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (464) ~ (all_0_51_51 = e1) % 59.63/24.83 | (1569) all_0_56_56 = e1 % 59.63/24.83 | % 59.63/24.83 | Combining equations (679,1569) yields a new equation: % 59.63/24.83 | (431) e1 = e0 % 59.63/24.83 | % 59.63/24.83 | Equations (431) can reduce 233 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (759) ~ (all_0_50_50 = e1) % 59.63/24.83 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (1444), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (601) all_0_50_50 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (601) can reduce 759 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (759) ~ (all_0_50_50 = e1) % 59.63/24.83 | (415) all_0_50_50 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (415) can reduce 411 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (639) ~ (all_0_44_44 = e1) % 59.63/24.83 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (1417), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (635) all_0_44_44 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (635) can reduce 639 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (639) ~ (all_0_44_44 = e1) % 59.63/24.83 | (532) all_0_44_44 = e3 % 59.63/24.83 | % 59.63/24.83 | Equations (532) can reduce 407 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (664) ~ (all_0_51_51 = e3) % 59.63/24.83 | (665) all_0_53_53 = e3 % 59.63/24.83 | % 59.63/24.83 | Combining equations (607,665) yields a new equation: % 59.63/24.83 | (662) e3 = e2 % 59.63/24.83 | % 59.63/24.83 | Equations (662) can reduce 212 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (525) ~ (all_0_49_49 = e3) % 59.63/24.83 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (1444), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (601) all_0_50_50 = e1 % 59.63/24.83 | % 59.63/24.83 | Equations (601) can reduce 59 to: % 59.63/24.83 | (463) ~ (all_0_51_51 = e1) % 59.63/24.83 | % 59.63/24.83 | Simplifying 463 yields: % 59.63/24.83 | (464) ~ (all_0_51_51 = e1) % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (7), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (504) all_0_51_51 = e2 % 59.63/24.83 | % 59.63/24.83 | Equations (504) can reduce 1099 to: % 59.63/24.83 | (266) $false % 59.63/24.83 | % 59.63/24.83 |-The branch is then unsatisfiable % 59.63/24.83 |-Branch two: % 59.63/24.83 | (1099) ~ (all_0_51_51 = e2) % 59.63/24.83 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.63/24.83 | % 59.63/24.83 +-Applying beta-rule and splitting (1100), into two cases. % 59.63/24.83 |-Branch one: % 59.63/24.83 | (1101) all_0_51_51 = e4 % 59.63/24.84 | % 59.63/24.84 | Equations (1101) can reduce 475 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (475) ~ (all_0_51_51 = e4) % 59.63/24.84 | (1104) all_0_51_51 = e3 | all_0_51_51 = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (1104), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (1109) all_0_51_51 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (1109) can reduce 464 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (464) ~ (all_0_51_51 = e1) % 59.63/24.84 | (660) all_0_51_51 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (660) can reduce 475 to: % 59.63/24.84 | (277) ~ (e4 = e3) % 59.63/24.84 | % 59.63/24.84 | Simplifying 277 yields: % 59.63/24.84 | (188) ~ (e4 = e3) % 59.63/24.84 | % 59.63/24.84 | Equations (660) can reduce 1099 to: % 59.63/24.84 | (212) ~ (e3 = e2) % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (887), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (665) all_0_53_53 = e3 % 59.63/24.84 | % 59.63/24.84 | Combining equations (607,665) yields a new equation: % 59.63/24.84 | (662) e3 = e2 % 59.63/24.84 | % 59.63/24.84 | Equations (662) can reduce 212 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (903) ~ (all_0_53_53 = e3) % 59.63/24.84 | (795) all_0_58_58 = e3 % 59.63/24.84 | % 59.63/24.84 | Combining equations (910,795) yields a new equation: % 59.63/24.84 | (424) e4 = e3 % 59.63/24.84 | % 59.63/24.84 | Simplifying 424 yields: % 59.63/24.84 | (425) e4 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (425) can reduce 188 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (759) ~ (all_0_50_50 = e1) % 59.63/24.84 | (415) all_0_50_50 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (415) can reduce 411 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.84 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (144), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (403) all_0_41_41 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (403) can reduce 1898 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.84 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (1923), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (1557) all_0_46_46 = e3 % 59.63/24.84 | % 59.63/24.84 | Combining equations (1557,538) yields a new equation: % 59.63/24.84 | (675) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Simplifying 675 yields: % 59.63/24.84 | (676) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (676) can reduce 80 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (409) ~ (all_0_46_46 = e3) % 59.63/24.84 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (1899), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (516) all_0_42_42 = e3 % 59.63/24.84 | % 59.63/24.84 | Combining equations (516,1392) yields a new equation: % 59.63/24.84 | (425) e4 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (425) can reduce 188 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (405) ~ (all_0_42_42 = e3) % 59.63/24.84 | (532) all_0_44_44 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (532) can reduce 9 to: % 59.63/24.84 | (524) ~ (all_0_49_49 = e3) % 59.63/24.84 | % 59.63/24.84 | Simplifying 524 yields: % 59.63/24.84 | (525) ~ (all_0_49_49 = e3) % 59.63/24.84 | % 59.63/24.84 | Equations (532) can reduce 147 to: % 59.63/24.84 | (212) ~ (e3 = e2) % 59.63/24.84 | % 59.63/24.84 | From (532) and (138) follows: % 59.63/24.84 | (1639) op(e3, e0) = e3 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (54), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (583) all_0_49_49 = e2 % 59.63/24.84 | % 59.63/24.84 | Equations (583) can reduce 340 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (340) ~ (all_0_49_49 = e2) % 59.63/24.84 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (103), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (453) all_0_41_41 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (453) can reduce 221 to: % 59.63/24.84 | (1136) ~ (all_0_50_50 = e1) % 59.63/24.84 | % 59.63/24.84 | Simplifying 1136 yields: % 59.63/24.84 | (759) ~ (all_0_50_50 = e1) % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (586), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (974) all_0_49_49 = e4 % 59.63/24.84 | % 59.63/24.84 | Equations (974) can reduce 256 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (256) ~ (all_0_49_49 = e4) % 59.63/24.84 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (160), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (601) all_0_50_50 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (601) can reduce 759 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (759) ~ (all_0_50_50 = e1) % 59.63/24.84 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (977), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (978) all_0_49_49 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (978) can reduce 487 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (487) ~ (all_0_49_49 = e0) % 59.63/24.84 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (981), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (671) all_0_49_49 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (671) can reduce 256 to: % 59.63/24.84 | (602) ~ (e4 = e1) % 59.63/24.84 | % 59.63/24.84 | Simplifying 602 yields: % 59.63/24.84 | (110) ~ (e4 = e1) % 59.63/24.84 | % 59.63/24.84 | Equations (671) can reduce 525 to: % 59.63/24.84 | (467) ~ (e3 = e1) % 59.63/24.84 | % 59.63/24.84 | Simplifying 467 yields: % 59.63/24.84 | (213) ~ (e3 = e1) % 59.63/24.84 | % 59.63/24.84 | Equations (671) can reduce 340 to: % 59.63/24.84 | (604) ~ (e2 = e1) % 59.63/24.84 | % 59.63/24.84 | Simplifying 604 yields: % 59.63/24.84 | (122) ~ (e2 = e1) % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (131), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (459) all_0_42_42 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (459,1392) yields a new equation: % 59.63/24.84 | (630) e4 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (630) can reduce 110 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (1380) ~ (all_0_42_42 = e1) % 59.63/24.84 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (1392) can reduce 1380 to: % 59.63/24.84 | (110) ~ (e4 = e1) % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (1168), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (1109) all_0_51_51 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (1109) can reduce 115 to: % 59.63/24.84 | (233) ~ (e1 = e0) % 59.63/24.84 | % 59.63/24.84 | From (1109) and (186) follows: % 59.63/24.84 | (699) op(e1, e2) = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (415) all_0_50_50 = e3 % 59.63/24.84 | % 59.63/24.84 | From (415) and (242) follows: % 59.63/24.84 | (1934) op(e1, e3) = e3 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (56), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (696) unit = e2 % 59.63/24.84 | % 59.63/24.84 | From (696) and (24) follows: % 59.63/24.84 | (697) op(e2, e3) = e3 % 59.63/24.84 | % 59.63/24.84 | From (696) and (211) follows: % 59.63/24.84 | (1612) op(e2, e1) = e1 % 59.63/24.84 | % 59.63/24.84 | From (696) and (227) follows: % 59.63/24.84 | (4284) op(e4, e2) = e4 % 59.63/24.84 | % 59.63/24.84 | From (696) and (40) follows: % 59.63/24.84 | (4285) op(e3, e2) = e3 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.63/24.84 | (323) e4 = e2 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.63/24.84 | (425) e4 = e3 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 59.63/24.84 | (676) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 59.63/24.84 | (617) e2 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (323,425) yields a new equation: % 59.63/24.84 | (662) e3 = e2 % 59.63/24.84 | % 59.63/24.84 | Combining equations (676,662) yields a new equation: % 59.63/24.84 | (330) e2 = e0 % 59.63/24.84 | % 59.63/24.84 | Combining equations (330,617) yields a new equation: % 59.63/24.84 | (431) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (431) can reduce 233 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (707) ~ (unit = e2) % 59.63/24.84 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (708), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (709) unit = e4 % 59.63/24.84 | % 59.63/24.84 | From (709) and (24) follows: % 59.63/24.84 | (33325) op(e4, e3) = e3 % 59.63/24.84 | % 59.63/24.84 | From (709) and (227) follows: % 59.63/24.84 | (710) op(e4, e4) = e4 % 59.63/24.84 | % 59.63/24.84 | From (709) and (42) follows: % 59.63/24.84 | (713) op(e0, e4) = e0 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.63/24.84 | (630) e4 = e1 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.63/24.84 | (425) e4 = e3 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.63/24.84 | (676) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Combining equations (630,425) yields a new equation: % 59.63/24.84 | (455) e3 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (455,676) yields a new equation: % 59.63/24.84 | (546) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Simplifying 546 yields: % 59.63/24.84 | (431) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (431) can reduce 233 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (724) ~ (unit = e4) % 59.63/24.84 | (725) unit = e3 | unit = e1 | unit = e0 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (725), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (726) unit = e0 % 59.63/24.84 | % 59.63/24.84 | From (726) and (244) follows: % 59.63/24.84 | (2207) op(e0, e4) = e4 % 59.63/24.84 | % 59.63/24.84 | From (726) and (24) follows: % 59.63/24.84 | (2208) op(e0, e3) = e3 % 59.63/24.84 | % 59.63/24.84 | From (726) and (28) follows: % 59.63/24.84 | (2698) op(e1, e0) = e1 % 59.63/24.84 | % 59.63/24.84 | From (726) and (42) follows: % 59.63/24.84 | (728) op(e0, e0) = e0 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 59.63/24.84 | (617) e2 = e1 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.63/24.84 | (425) e4 = e3 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 59.63/24.84 | (662) e3 = e2 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields: % 59.63/24.84 | (397) e4 = e0 % 59.63/24.84 | % 59.63/24.84 | Combining equations (425,397) yields a new equation: % 59.63/24.84 | (675) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Simplifying 675 yields: % 59.63/24.84 | (676) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Combining equations (676,662) yields a new equation: % 59.63/24.84 | (330) e2 = e0 % 59.63/24.84 | % 59.63/24.84 | Combining equations (617,330) yields a new equation: % 59.63/24.84 | (546) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Simplifying 546 yields: % 59.63/24.84 | (431) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (431) can reduce 233 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (734) ~ (unit = e0) % 59.63/24.84 | (735) unit = e3 | unit = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (735), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (736) unit = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (736) can reduce 734 to: % 59.63/24.84 | (233) ~ (e1 = e0) % 59.63/24.84 | % 59.63/24.84 | From (736) and (15) follows: % 59.63/24.84 | (515) op(e1, e2) = e2 % 59.63/24.84 | % 59.63/24.84 | From (736) and (209) follows: % 59.63/24.84 | (2715) op(e1, e0) = e0 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 59.63/24.84 | (617) e2 = e1 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 59.63/24.84 | (330) e2 = e0 % 59.63/24.84 | % 59.63/24.84 | Combining equations (330,617) yields a new equation: % 59.63/24.84 | (431) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (431) can reduce 233 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (748) ~ (unit = e1) % 59.63/24.84 | (749) unit = e3 % 59.63/24.84 | % 59.63/24.84 | From (749) and (209) follows: % 59.63/24.84 | (1667) op(e3, e0) = e0 % 59.63/24.84 | % 59.63/24.84 | From (749) and (28) follows: % 59.63/24.84 | (2235) op(e1, e3) = e1 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.63/24.84 | (676) e3 = e0 % 59.63/24.84 | % 59.63/24.84 | Instantiating formula (29) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 59.63/24.84 | (455) e3 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (676,455) yields a new equation: % 59.63/24.84 | (431) e1 = e0 % 59.63/24.84 | % 59.63/24.84 | Equations (431) can reduce 233 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (411) ~ (all_0_50_50 = e3) % 59.63/24.84 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (418), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (660) all_0_51_51 = e3 % 59.63/24.84 | % 59.63/24.84 | Combining equations (660,1109) yields a new equation: % 59.63/24.84 | (454) e3 = e1 % 59.63/24.84 | % 59.63/24.84 | Simplifying 454 yields: % 59.63/24.84 | (455) e3 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (455) can reduce 213 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (664) ~ (all_0_51_51 = e3) % 59.63/24.84 | (665) all_0_53_53 = e3 % 59.63/24.84 | % 59.63/24.84 | Combining equations (607,665) yields a new equation: % 59.63/24.84 | (662) e3 = e2 % 59.63/24.84 | % 59.63/24.84 | Equations (662) can reduce 212 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (464) ~ (all_0_51_51 = e1) % 59.63/24.84 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (1202), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (642) all_0_52_52 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (565,642) yields a new equation: % 59.63/24.84 | (636) e4 = e1 % 59.63/24.84 | % 59.63/24.84 | Simplifying 636 yields: % 59.63/24.84 | (630) e4 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (630) can reduce 110 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (646) ~ (all_0_52_52 = e1) % 59.63/24.84 | (1208) all_0_53_53 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (607,1208) yields a new equation: % 59.63/24.84 | (616) e2 = e1 % 59.63/24.84 | % 59.63/24.84 | Simplifying 616 yields: % 59.63/24.84 | (617) e2 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (617) can reduce 122 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.84 | (884) all_0_49_49 = e3 % 59.63/24.84 | % 59.63/24.84 | Equations (884) can reduce 525 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (457) ~ (all_0_41_41 = e1) % 59.63/24.84 | (458) all_0_42_42 = e1 | all_0_43_43 = e1 | all_0_44_44 = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (18), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (453) all_0_41_41 = e1 % 59.63/24.84 | % 59.63/24.84 | Equations (453) can reduce 457 to: % 59.63/24.84 | (266) $false % 59.63/24.84 | % 59.63/24.84 |-The branch is then unsatisfiable % 59.63/24.84 |-Branch two: % 59.63/24.84 | (457) ~ (all_0_41_41 = e1) % 59.63/24.84 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.63/24.84 | % 59.63/24.84 +-Applying beta-rule and splitting (595), into two cases. % 59.63/24.84 |-Branch one: % 59.63/24.84 | (545) all_0_46_46 = e1 % 59.63/24.84 | % 59.63/24.84 | Combining equations (545,538) yields a new equation: % 59.63/24.84 | (546) e1 = e0 % 59.63/24.84 | % 59.63/24.85 | Simplifying 546 yields: % 59.63/24.85 | (431) e1 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (431) can reduce 233 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (549) ~ (all_0_46_46 = e1) % 59.63/24.85 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (600), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (601) all_0_50_50 = e1 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (415) all_0_50_50 = e3 % 59.63/24.85 | % 59.63/24.85 | Combining equations (601,415) yields a new equation: % 59.63/24.85 | (455) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (455) can reduce 213 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (411) ~ (all_0_50_50 = e3) % 59.63/24.85 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.63/24.85 | % 59.63/24.85 | Equations (601) can reduce 411 to: % 59.63/24.85 | (467) ~ (e3 = e1) % 59.63/24.85 | % 59.63/24.85 | Simplifying 467 yields: % 59.63/24.85 | (213) ~ (e3 = e1) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (112), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (635) all_0_44_44 = e1 % 59.63/24.85 | % 59.63/24.85 | Combining equations (635,532) yields a new equation: % 59.63/24.85 | (455) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (455) can reduce 213 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (639) ~ (all_0_44_44 = e1) % 59.63/24.85 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (532) can reduce 639 to: % 59.63/24.85 | (213) ~ (e3 = e1) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (4042), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (415) all_0_50_50 = e3 % 59.63/24.85 | % 59.63/24.85 | Combining equations (601,415) yields a new equation: % 59.63/24.85 | (455) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (455) can reduce 213 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (411) ~ (all_0_50_50 = e3) % 59.63/24.85 | (2336) all_0_55_55 = e3 % 59.63/24.85 | % 59.63/24.85 | Combining equations (386,2336) yields a new equation: % 59.63/24.85 | (662) e3 = e2 % 59.63/24.85 | % 59.63/24.85 | Equations (662) can reduce 212 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (759) ~ (all_0_50_50 = e1) % 59.63/24.85 | (629) all_0_55_55 = e1 % 59.63/24.85 | % 59.63/24.85 | Combining equations (629,386) yields a new equation: % 59.63/24.85 | (617) e2 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (617) can reduce 122 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (1890) ~ (all_0_42_42 = e4) % 59.63/24.85 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (1891), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (396) all_0_43_43 = e4 % 59.63/24.85 | % 59.63/24.85 | Combining equations (396,356) yields a new equation: % 59.63/24.85 | (481) e4 = e0 % 59.63/24.85 | % 59.63/24.85 | Simplifying 481 yields: % 59.63/24.85 | (397) e4 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (397) can reduce 49 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (399) ~ (all_0_43_43 = e4) % 59.63/24.85 | (446) all_0_44_44 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (446) can reduce 1390 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (1670) ~ (all_0_57_57 = e1) % 59.63/24.85 | (918) all_0_58_58 = e1 % 59.63/24.85 | % 59.63/24.85 | Combining equations (918,910) yields a new equation: % 59.63/24.85 | (630) e4 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (630) can reduce 110 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (831) ~ (all_0_46_46 = e0) % 59.63/24.85 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (832), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (674) all_0_47_47 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (674) can reduce 678 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (678) ~ (all_0_47_47 = e0) % 59.63/24.85 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (1278), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (1279) all_0_48_48 = e0 % 59.63/24.85 | % 59.63/24.85 | Combining equations (335,1279) yields a new equation: % 59.63/24.85 | (391) e2 = e0 % 59.63/24.85 | % 59.63/24.85 | Simplifying 391 yields: % 59.63/24.85 | (330) e2 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (330) can reduce 128 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (1283) ~ (all_0_48_48 = e0) % 59.63/24.85 | (978) all_0_49_49 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (978) can reduce 487 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (780) ~ (all_0_52_52 = e4) % 59.63/24.85 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (355), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (565) all_0_52_52 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (565) can reduce 780 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (780) ~ (all_0_52_52 = e4) % 59.63/24.85 | (642) all_0_52_52 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (642) can reduce 20 to: % 59.63/24.85 | (464) ~ (all_0_51_51 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (642) can reduce 780 to: % 59.63/24.85 | (602) ~ (e4 = e1) % 59.63/24.85 | % 59.63/24.85 | Simplifying 602 yields: % 59.63/24.85 | (110) ~ (e4 = e1) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (231), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (775) all_0_50_50 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (775) can reduce 566 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (566) ~ (all_0_50_50 = e4) % 59.63/24.85 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (1071), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (1101) all_0_51_51 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (1101) can reduce 1099 to: % 59.63/24.85 | (48) ~ (e4 = e2) % 59.63/24.85 | % 59.63/24.85 | Equations (1101) can reduce 464 to: % 59.63/24.85 | (110) ~ (e4 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (1101) can reduce 115 to: % 59.63/24.85 | (49) ~ (e4 = e0) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (168), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (415) all_0_50_50 = e3 % 59.63/24.85 | % 59.63/24.85 | Equations (415) can reduce 221 to: % 59.63/24.85 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (230), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (396) all_0_43_43 = e4 % 59.63/24.85 | % 59.63/24.85 | Combining equations (396,356) yields a new equation: % 59.63/24.85 | (481) e4 = e0 % 59.63/24.85 | % 59.63/24.85 | Simplifying 481 yields: % 59.63/24.85 | (397) e4 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (397) can reduce 49 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (399) ~ (all_0_43_43 = e4) % 59.63/24.85 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (400), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (943) all_0_48_48 = e4 % 59.63/24.85 | % 59.63/24.85 | Combining equations (943,335) yields a new equation: % 59.63/24.85 | (322) e4 = e2 % 59.63/24.85 | % 59.63/24.85 | Simplifying 322 yields: % 59.63/24.85 | (323) e4 = e2 % 59.63/24.85 | % 59.63/24.85 | Equations (323) can reduce 48 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (254) ~ (all_0_48_48 = e4) % 59.63/24.85 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (947), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (565) all_0_52_52 = e4 % 59.63/24.85 | % 59.63/24.85 | Combining equations (642,565) yields a new equation: % 59.63/24.85 | (630) e4 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (630) can reduce 110 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (780) ~ (all_0_52_52 = e4) % 59.63/24.85 | (871) all_0_57_57 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (871) can reduce 148 to: % 59.63/24.85 | (450) ~ (all_0_58_58 = e4) % 59.63/24.85 | % 59.63/24.85 | Simplifying 450 yields: % 59.63/24.85 | (451) ~ (all_0_58_58 = e4) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (108), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (624) all_0_58_58 = e2 % 59.63/24.85 | % 59.63/24.85 | Equations (624) can reduce 908 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (908) ~ (all_0_58_58 = e2) % 59.63/24.85 | (909) all_0_58_58 = e4 | all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (909), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (910) all_0_58_58 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (910) can reduce 451 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (451) ~ (all_0_58_58 = e4) % 59.63/24.85 | (913) all_0_58_58 = e3 | all_0_58_58 = e1 | all_0_58_58 = e0 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (913), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (914) all_0_58_58 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (914) can reduce 491 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (491) ~ (all_0_58_58 = e0) % 59.63/24.85 | (917) all_0_58_58 = e3 | all_0_58_58 = e1 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (917), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (918) all_0_58_58 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (918) can reduce 181 to: % 59.63/24.85 | (639) ~ (all_0_44_44 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (918) can reduce 119 to: % 59.63/24.85 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (918) can reduce 908 to: % 59.63/24.85 | (604) ~ (e2 = e1) % 59.63/24.85 | % 59.63/24.85 | Simplifying 604 yields: % 59.63/24.85 | (122) ~ (e2 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (918) can reduce 491 to: % 59.63/24.85 | (233) ~ (e1 = e0) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (54), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (583) all_0_49_49 = e2 % 59.63/24.85 | % 59.63/24.85 | Equations (583) can reduce 340 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (340) ~ (all_0_49_49 = e2) % 59.63/24.85 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (586), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (974) all_0_49_49 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (974) can reduce 256 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (256) ~ (all_0_49_49 = e4) % 59.63/24.85 | (977) all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (977), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (978) all_0_49_49 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (978) can reduce 487 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (487) ~ (all_0_49_49 = e0) % 59.63/24.85 | (981) all_0_49_49 = e3 | all_0_49_49 = e1 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (981), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (671) all_0_49_49 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (671) can reduce 1064 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (1064) ~ (all_0_49_49 = e1) % 59.63/24.85 | (884) all_0_49_49 = e3 % 59.63/24.85 | % 59.63/24.85 | Equations (884) can reduce 9 to: % 59.63/24.85 | (407) ~ (all_0_44_44 = e3) % 59.63/24.85 | % 59.63/24.85 | Equations (884) can reduce 1064 to: % 59.63/24.85 | (213) ~ (e3 = e1) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (184), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (538) all_0_46_46 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (538) can reduce 19 to: % 59.63/24.85 | (1402) ~ (all_0_47_47 = e0) % 59.63/24.85 | % 59.63/24.85 | Simplifying 1402 yields: % 59.63/24.85 | (678) ~ (all_0_47_47 = e0) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (26), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (446) all_0_44_44 = e4 % 59.63/24.85 | % 59.63/24.85 | Equations (446) can reduce 407 to: % 59.63/24.85 | (188) ~ (e4 = e3) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (113), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (403) all_0_41_41 = e3 % 59.63/24.85 | % 59.63/24.85 | Equations (403) can reduce 1898 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.85 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (135), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (545) all_0_46_46 = e1 % 59.63/24.85 | % 59.63/24.85 | Combining equations (538,545) yields a new equation: % 59.63/24.85 | (431) e1 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (431) can reduce 233 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (549) ~ (all_0_46_46 = e1) % 59.63/24.85 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (1899), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (516) all_0_42_42 = e3 % 59.63/24.85 | % 59.63/24.85 | Equations (516) can reduce 198 to: % 59.63/24.85 | (2538) ~ (all_0_47_47 = e3) % 59.63/24.85 | % 59.63/24.85 | Simplifying 2538 yields: % 59.63/24.85 | (1091) ~ (all_0_47_47 = e3) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (550), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (654) all_0_47_47 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (654) can reduce 1091 to: % 59.63/24.85 | (467) ~ (e3 = e1) % 59.63/24.85 | % 59.63/24.85 | Simplifying 467 yields: % 59.63/24.85 | (213) ~ (e3 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (654) can reduce 338 to: % 59.63/24.85 | (604) ~ (e2 = e1) % 59.63/24.85 | % 59.63/24.85 | Simplifying 604 yields: % 59.63/24.85 | (122) ~ (e2 = e1) % 59.63/24.85 | % 59.63/24.85 | Equations (654) can reduce 678 to: % 59.63/24.85 | (233) ~ (e1 = e0) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (781), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (789), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (790), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (791), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (792), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.63/24.85 | % 59.63/24.85 | Applying alpha-rule on (793) yields: % 59.63/24.85 | (794) all_0_41_41 = e0 % 59.63/24.85 | (795) all_0_58_58 = e3 % 59.63/24.85 | (407) ~ (all_0_44_44 = e3) % 59.63/24.85 | % 59.63/24.85 | Combining equations (795,918) yields a new equation: % 59.63/24.85 | (454) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Simplifying 454 yields: % 59.63/24.85 | (455) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (455) can reduce 213 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.63/24.85 | % 59.63/24.85 | Applying alpha-rule on (800) yields: % 59.63/24.85 | (794) all_0_41_41 = e0 % 59.63/24.85 | (795) all_0_58_58 = e3 % 59.63/24.85 | (803) ~ (all_0_55_55 = e0) % 59.63/24.85 | % 59.63/24.85 | Combining equations (795,918) yields a new equation: % 59.63/24.85 | (454) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Simplifying 454 yields: % 59.63/24.85 | (455) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (455) can reduce 213 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.63/24.85 | % 59.63/24.85 | Applying alpha-rule on (807) yields: % 59.63/24.85 | (654) all_0_47_47 = e1 % 59.63/24.85 | (352) all_0_52_52 = e2 % 59.63/24.85 | (810) ~ (all_0_48_48 = e2) % 59.63/24.85 | % 59.63/24.85 | Combining equations (642,352) yields a new equation: % 59.63/24.85 | (617) e2 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (617) can reduce 122 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.63/24.85 | % 59.63/24.85 | Applying alpha-rule on (813) yields: % 59.63/24.85 | (654) all_0_47_47 = e1 % 59.63/24.85 | (352) all_0_52_52 = e2 % 59.63/24.85 | (464) ~ (all_0_51_51 = e1) % 59.63/24.85 | % 59.63/24.85 | Combining equations (642,352) yields a new equation: % 59.63/24.85 | (617) e2 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (617) can reduce 122 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.63/24.85 | % 59.63/24.85 | Applying alpha-rule on (819) yields: % 59.63/24.85 | (674) all_0_47_47 = e0 % 59.63/24.85 | (624) all_0_58_58 = e2 % 59.63/24.85 | (340) ~ (all_0_49_49 = e2) % 59.63/24.85 | % 59.63/24.85 | Combining equations (674,654) yields a new equation: % 59.63/24.85 | (431) e1 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (431) can reduce 233 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.63/24.85 | % 59.63/24.85 | Applying alpha-rule on (825) yields: % 59.63/24.85 | (674) all_0_47_47 = e0 % 59.63/24.85 | (624) all_0_58_58 = e2 % 59.63/24.85 | (828) ~ (all_0_56_56 = e0) % 59.63/24.85 | % 59.63/24.85 | Combining equations (674,654) yields a new equation: % 59.63/24.85 | (431) e1 = e0 % 59.63/24.85 | % 59.63/24.85 | Equations (431) can reduce 233 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (462) ~ (all_0_47_47 = e1) % 59.63/24.85 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 59.63/24.85 | % 59.63/24.85 +-Applying beta-rule and splitting (659), into two cases. % 59.63/24.85 |-Branch one: % 59.63/24.85 | (615) all_0_48_48 = e1 % 59.63/24.85 | % 59.63/24.85 | Combining equations (615,335) yields a new equation: % 59.63/24.85 | (617) e2 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (617) can reduce 122 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (619) ~ (all_0_48_48 = e1) % 59.63/24.85 | (671) all_0_49_49 = e1 % 59.63/24.85 | % 59.63/24.85 | Combining equations (884,671) yields a new equation: % 59.63/24.85 | (454) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Simplifying 454 yields: % 59.63/24.85 | (455) e3 = e1 % 59.63/24.85 | % 59.63/24.85 | Equations (455) can reduce 213 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (405) ~ (all_0_42_42 = e3) % 59.63/24.85 | (532) all_0_44_44 = e3 % 59.63/24.85 | % 59.63/24.85 | Combining equations (446,532) yields a new equation: % 59.63/24.85 | (424) e4 = e3 % 59.63/24.85 | % 59.63/24.85 | Simplifying 424 yields: % 59.63/24.85 | (425) e4 = e3 % 59.63/24.85 | % 59.63/24.85 | Equations (425) can reduce 188 to: % 59.63/24.85 | (266) $false % 59.63/24.85 | % 59.63/24.85 |-The branch is then unsatisfiable % 59.63/24.85 |-Branch two: % 59.63/24.85 | (1390) ~ (all_0_44_44 = e4) % 59.63/24.86 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.63/24.86 | % 59.63/24.86 +-Applying beta-rule and splitting (113), into two cases. % 59.63/24.86 |-Branch one: % 59.63/24.86 | (403) all_0_41_41 = e3 % 59.63/24.86 | % 59.63/24.86 | Equations (403) can reduce 1898 to: % 59.63/24.86 | (266) $false % 59.63/24.86 | % 59.63/24.86 |-The branch is then unsatisfiable % 59.63/24.86 |-Branch two: % 59.63/24.86 | (1898) ~ (all_0_41_41 = e3) % 59.63/24.86 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.63/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (1899), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (516) all_0_42_42 = e3 % 59.73/24.86 | % 59.73/24.86 | Equations (516) can reduce 73 to: % 59.73/24.86 | (406) ~ (all_0_44_44 = e3) % 59.73/24.86 | % 59.73/24.86 | Simplifying 406 yields: % 59.73/24.86 | (407) ~ (all_0_44_44 = e3) % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (1391), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (1414) all_0_44_44 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (1414) can reduce 360 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (360) ~ (all_0_44_44 = e0) % 59.73/24.86 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (1417), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (635) all_0_44_44 = e1 % 59.73/24.86 | % 59.73/24.86 | Equations (635) can reduce 639 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (639) ~ (all_0_44_44 = e1) % 59.73/24.86 | (532) all_0_44_44 = e3 % 59.73/24.86 | % 59.73/24.86 | Equations (532) can reduce 407 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (405) ~ (all_0_42_42 = e3) % 59.73/24.86 | (532) all_0_44_44 = e3 % 59.73/24.86 | % 59.73/24.86 | Equations (532) can reduce 407 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (831) ~ (all_0_46_46 = e0) % 59.73/24.86 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (395), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (794) all_0_41_41 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (794) can reduce 357 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (357) ~ (all_0_41_41 = e0) % 59.73/24.86 | (895) all_0_46_46 = e0 | all_0_55_55 = e0 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (895), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (538) all_0_46_46 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (538) can reduce 831 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (831) ~ (all_0_46_46 = e0) % 59.73/24.86 | (858) all_0_55_55 = e0 % 59.73/24.86 | % 59.73/24.86 | Combining equations (386,858) yields a new equation: % 59.73/24.86 | (391) e2 = e0 % 59.73/24.86 | % 59.73/24.86 | Simplifying 391 yields: % 59.73/24.86 | (330) e2 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (330) can reduce 128 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (880) ~ (all_0_58_58 = e1) % 59.73/24.86 | (795) all_0_58_58 = e3 % 59.73/24.86 | % 59.73/24.86 | Equations (795) can reduce 276 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (411) ~ (all_0_50_50 = e3) % 59.73/24.86 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (230), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (396) all_0_43_43 = e4 % 59.73/24.86 | % 59.73/24.86 | Combining equations (396,356) yields a new equation: % 59.73/24.86 | (481) e4 = e0 % 59.73/24.86 | % 59.73/24.86 | Simplifying 481 yields: % 59.73/24.86 | (397) e4 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (397) can reduce 49 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (399) ~ (all_0_43_43 = e4) % 59.73/24.86 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (400), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (943) all_0_48_48 = e4 % 59.73/24.86 | % 59.73/24.86 | Combining equations (335,943) yields a new equation: % 59.73/24.86 | (323) e4 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (323) can reduce 48 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (254) ~ (all_0_48_48 = e4) % 59.73/24.86 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (947), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (565) all_0_52_52 = e4 % 59.73/24.86 | % 59.73/24.86 | Combining equations (642,565) yields a new equation: % 59.73/24.86 | (630) e4 = e1 % 59.73/24.86 | % 59.73/24.86 | Equations (630) can reduce 110 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (780) ~ (all_0_52_52 = e4) % 59.73/24.86 | (871) all_0_57_57 = e4 % 59.73/24.86 | % 59.73/24.86 | Equations (871) can reduce 67 to: % 59.73/24.86 | (188) ~ (e4 = e3) % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (418), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (660) all_0_51_51 = e3 % 59.73/24.86 | % 59.73/24.86 | Combining equations (1101,660) yields a new equation: % 59.73/24.86 | (424) e4 = e3 % 59.73/24.86 | % 59.73/24.86 | Simplifying 424 yields: % 59.73/24.86 | (425) e4 = e3 % 59.73/24.86 | % 59.73/24.86 | Equations (425) can reduce 188 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (664) ~ (all_0_51_51 = e3) % 59.73/24.86 | (665) all_0_53_53 = e3 % 59.73/24.86 | % 59.73/24.86 | Combining equations (665,607) yields a new equation: % 59.73/24.86 | (661) e3 = e2 % 59.73/24.86 | % 59.73/24.86 | Simplifying 661 yields: % 59.73/24.86 | (662) e3 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (662) can reduce 212 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (475) ~ (all_0_51_51 = e4) % 59.73/24.86 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (1294), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (565) all_0_52_52 = e4 % 59.73/24.86 | % 59.73/24.86 | Combining equations (642,565) yields a new equation: % 59.73/24.86 | (630) e4 = e1 % 59.73/24.86 | % 59.73/24.86 | Equations (630) can reduce 110 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (780) ~ (all_0_52_52 = e4) % 59.73/24.86 | (1298) all_0_53_53 = e4 % 59.73/24.86 | % 59.73/24.86 | Combining equations (607,1298) yields a new equation: % 59.73/24.86 | (323) e4 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (323) can reduce 48 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (828) ~ (all_0_56_56 = e0) % 59.73/24.86 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (924), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (875) all_0_57_57 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (875) can reduce 364 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (364) ~ (all_0_57_57 = e0) % 59.73/24.86 | (914) all_0_58_58 = e0 % 59.73/24.86 | % 59.73/24.86 | Equations (914) can reduce 491 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (304) ~ (all_0_55_55 = e2) % 59.73/24.86 | (389) all_0_56_56 = e2 | all_0_57_57 = e2 | all_0_58_58 = e2 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (117), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (292) all_0_38_38 = e2 % 59.73/24.86 | % 59.73/24.86 | Combining equations (292,321) yields a new equation: % 59.73/24.86 | (323) e4 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (323) can reduce 48 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (9600) ~ (all_0_38_38 = e2) % 59.73/24.86 | (24424) all_0_46_46 = e2 | all_0_50_50 = e2 | all_0_55_55 = e2 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (389), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (833) all_0_56_56 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (833) can reduce 511 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (511) ~ (all_0_56_56 = e2) % 59.73/24.86 | (1709) all_0_57_57 = e2 | all_0_58_58 = e2 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (24424), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (1794) all_0_46_46 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (1794) can reduce 300 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (300) ~ (all_0_46_46 = e2) % 59.73/24.86 | (24428) all_0_50_50 = e2 | all_0_55_55 = e2 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (24428), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (378) all_0_50_50 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (378) can reduce 221 to: % 59.73/24.86 | (85) ~ (all_0_41_41 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (378) can reduce 35 to: % 59.73/24.86 | (300) ~ (all_0_46_46 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (378) can reduce 59 to: % 59.73/24.86 | (17668) ~ (all_0_51_51 = e2) % 59.73/24.86 | % 59.73/24.86 | Simplifying 17668 yields: % 59.73/24.86 | (1099) ~ (all_0_51_51 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (378) can reduce 101 to: % 59.73/24.86 | (341) ~ (all_0_52_52 = e2) % 59.73/24.86 | % 59.73/24.86 | Simplifying 341 yields: % 59.73/24.86 | (342) ~ (all_0_52_52 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (378) can reduce 566 to: % 59.73/24.86 | (327) ~ (e4 = e2) % 59.73/24.86 | % 59.73/24.86 | Simplifying 327 yields: % 59.73/24.86 | (48) ~ (e4 = e2) % 59.73/24.86 | % 59.73/24.86 | From (378) and (242) follows: % 59.73/24.86 | (26152) op(e1, e3) = e2 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (1709), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (442) all_0_57_57 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (442) can reduce 344 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (344) ~ (all_0_57_57 = e2) % 59.73/24.86 | (624) all_0_58_58 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 181 to: % 59.73/24.86 | (147) ~ (all_0_44_44 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 119 to: % 59.73/24.86 | (340) ~ (all_0_49_49 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 10 to: % 59.73/24.86 | (509) ~ (all_0_53_53 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 3 to: % 59.73/24.86 | (304) ~ (all_0_55_55 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 44 to: % 59.73/24.86 | (511) ~ (all_0_56_56 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 148 to: % 59.73/24.86 | (344) ~ (all_0_57_57 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 276 to: % 59.73/24.86 | (626) ~ (e3 = e2) % 59.73/24.86 | % 59.73/24.86 | Simplifying 626 yields: % 59.73/24.86 | (212) ~ (e3 = e2) % 59.73/24.86 | % 59.73/24.86 | Equations (624) can reduce 491 to: % 59.73/24.86 | (128) ~ (e2 = e0) % 59.73/24.86 | % 59.73/24.86 | From (624) and (245) follows: % 59.73/24.86 | (628) op(e0, e0) = e2 % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (168), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (415) all_0_50_50 = e3 % 59.73/24.86 | % 59.73/24.86 | Combining equations (415,378) yields a new equation: % 59.73/24.86 | (661) e3 = e2 % 59.73/24.86 | % 59.73/24.86 | Simplifying 661 yields: % 59.73/24.86 | (662) e3 = e2 % 59.73/24.86 | % 59.73/24.86 | Equations (662) can reduce 212 to: % 59.73/24.86 | (266) $false % 59.73/24.86 | % 59.73/24.86 |-The branch is then unsatisfiable % 59.73/24.86 |-Branch two: % 59.73/24.86 | (411) ~ (all_0_50_50 = e3) % 59.73/24.86 | (418) all_0_51_51 = e3 | all_0_53_53 = e3 % 59.73/24.86 | % 59.73/24.86 | Equations (378) can reduce 411 to: % 59.73/24.86 | (626) ~ (e3 = e2) % 59.73/24.86 | % 59.73/24.86 | Simplifying 626 yields: % 59.73/24.86 | (212) ~ (e3 = e2) % 59.73/24.86 | % 59.73/24.86 +-Applying beta-rule and splitting (130), into two cases. % 59.73/24.86 |-Branch one: % 59.73/24.86 | (430) all_0_43_43 = e1 % 59.73/24.86 | % 59.73/24.86 | Combining equations (430,356) yields a new equation: % 59.73/24.86 | (546) e1 = e0 % 59.73/24.86 | % 59.73/24.86 | Simplifying 546 yields: % 59.73/24.86 | (431) e1 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (431) can reduce 233 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (433) ~ (all_0_43_43 = e1) % 59.73/24.87 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (356) can reduce 433 to: % 59.73/24.87 | (435) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 435 yields: % 59.73/24.87 | (233) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (125), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (858) all_0_55_55 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 191 to: % 59.73/24.87 | (357) ~ (all_0_41_41 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 58 to: % 59.73/24.87 | (831) ~ (all_0_46_46 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 81 to: % 59.73/24.87 | (363) ~ (all_0_57_57 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 363 yields: % 59.73/24.87 | (364) ~ (all_0_57_57 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 270 to: % 59.73/24.87 | (541) ~ (e3 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 541 yields: % 59.73/24.87 | (80) ~ (e3 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 304 to: % 59.73/24.87 | (365) ~ (e2 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 365 yields: % 59.73/24.87 | (128) ~ (e2 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (184), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (538) all_0_46_46 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (538) can reduce 831 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (831) ~ (all_0_46_46 = e0) % 59.73/24.87 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (104), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (480) all_0_39_39 = e0 % 59.73/24.87 | % 59.73/24.87 | Combining equations (480,317) yields a new equation: % 59.73/24.87 | (330) e2 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (330) can reduce 128 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (484) ~ (all_0_39_39 = e0) % 59.73/24.87 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (317) can reduce 484 to: % 59.73/24.87 | (128) ~ (e2 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (832), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (674) all_0_47_47 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 198 to: % 59.73/24.87 | (358) ~ (all_0_42_42 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 19 to: % 59.73/24.87 | (831) ~ (all_0_46_46 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 86 to: % 59.73/24.87 | (486) ~ (all_0_49_49 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 486 yields: % 59.73/24.87 | (487) ~ (all_0_49_49 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 91 to: % 59.73/24.87 | (1181) ~ (all_0_56_56 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 1181 yields: % 59.73/24.87 | (828) ~ (all_0_56_56 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 252 to: % 59.73/24.87 | (401) ~ (e4 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 401 yields: % 59.73/24.87 | (49) ~ (e4 = e0) % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 338 to: % 59.73/24.87 | (365) ~ (e2 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 365 yields: % 59.73/24.87 | (128) ~ (e2 = e0) % 59.73/24.87 | % 59.73/24.87 | From (674) and (23) follows: % 59.73/24.87 | (3148) op(e2, e2) = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (180), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (516) all_0_42_42 = e3 % 59.73/24.87 | % 59.73/24.87 | Equations (516) can reduce 214 to: % 59.73/24.87 | (1898) ~ (all_0_41_41 = e3) % 59.73/24.87 | % 59.73/24.87 | Equations (516) can reduce 61 to: % 59.73/24.87 | (1925) ~ (all_0_51_51 = e3) % 59.73/24.87 | % 59.73/24.87 | Simplifying 1925 yields: % 59.73/24.87 | (664) ~ (all_0_51_51 = e3) % 59.73/24.87 | % 59.73/24.87 | Equations (516) can reduce 236 to: % 59.73/24.87 | (271) ~ (all_0_56_56 = e3) % 59.73/24.87 | % 59.73/24.87 | Simplifying 271 yields: % 59.73/24.87 | (272) ~ (all_0_56_56 = e3) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (418), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (660) all_0_51_51 = e3 % 59.73/24.87 | % 59.73/24.87 | Equations (660) can reduce 664 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (664) ~ (all_0_51_51 = e3) % 59.73/24.87 | (665) all_0_53_53 = e3 % 59.73/24.87 | % 59.73/24.87 | Equations (665) can reduce 220 to: % 59.73/24.87 | (407) ~ (all_0_44_44 = e3) % 59.73/24.87 | % 59.73/24.87 | Equations (665) can reduce 46 to: % 59.73/24.87 | (166) ~ (all_0_52_52 = e3) % 59.73/24.87 | % 59.73/24.87 | Equations (665) can reduce 509 to: % 59.73/24.87 | (212) ~ (e3 = e2) % 59.73/24.87 | % 59.73/24.87 | Equations (665) can reduce 247 to: % 59.73/24.87 | (80) ~ (e3 = e0) % 59.73/24.87 | % 59.73/24.87 | From (665) and (84) follows: % 59.73/24.87 | (3786) op(e1, e0) = e3 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (144), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (403) all_0_41_41 = e3 % 59.73/24.87 | % 59.73/24.87 | Equations (403) can reduce 1898 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (1898) ~ (all_0_41_41 = e3) % 59.73/24.87 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (1923), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (1557) all_0_46_46 = e3 % 59.73/24.87 | % 59.73/24.87 | Equations (1557) can reduce 43 to: % 59.73/24.87 | (1898) ~ (all_0_41_41 = e3) % 59.73/24.87 | % 59.73/24.87 | From (1557) and (120) follows: % 59.73/24.87 | (697) op(e2, e3) = e3 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (135), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (545) all_0_46_46 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (545,1557) yields a new equation: % 59.73/24.87 | (455) e3 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (455) can reduce 213 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (549) ~ (all_0_46_46 = e1) % 59.73/24.87 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (1557) can reduce 549 to: % 59.73/24.87 | (213) ~ (e3 = e1) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (54), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (583) all_0_49_49 = e2 % 59.73/24.87 | % 59.73/24.87 | Equations (583) can reduce 340 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (340) ~ (all_0_49_49 = e2) % 59.73/24.87 | (586) all_0_49_49 = e4 | all_0_49_49 = e3 | all_0_49_49 = e1 | all_0_49_49 = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (550), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (654) all_0_47_47 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (674,654) yields a new equation: % 59.73/24.87 | (431) e1 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (431) can reduce 233 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (462) ~ (all_0_47_47 = e1) % 59.73/24.87 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (674) can reduce 462 to: % 59.73/24.87 | (435) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 435 yields: % 59.73/24.87 | (233) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (18), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (453) all_0_41_41 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (453) can reduce 149 to: % 59.73/24.87 | (4057) ~ (all_0_44_44 = e1) % 59.73/24.87 | % 59.73/24.87 | Simplifying 4057 yields: % 59.73/24.87 | (639) ~ (all_0_44_44 = e1) % 59.73/24.87 | % 59.73/24.87 | Equations (453) can reduce 1898 to: % 59.73/24.87 | (467) ~ (e3 = e1) % 59.73/24.87 | % 59.73/24.87 | Simplifying 467 yields: % 59.73/24.87 | (213) ~ (e3 = e1) % 59.73/24.87 | % 59.73/24.87 | Equations (453) can reduce 85 to: % 59.73/24.87 | (604) ~ (e2 = e1) % 59.73/24.87 | % 59.73/24.87 | Simplifying 604 yields: % 59.73/24.87 | (122) ~ (e2 = e1) % 59.73/24.87 | % 59.73/24.87 | From (453) and (219) follows: % 59.73/24.87 | (12512) op(e3, e3) = e1 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (26), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (446) all_0_44_44 = e4 % 59.73/24.87 | % 59.73/24.87 | Equations (446) can reduce 9 to: % 59.73/24.87 | (255) ~ (all_0_49_49 = e4) % 59.73/24.87 | % 59.73/24.87 | Simplifying 255 yields: % 59.73/24.87 | (256) ~ (all_0_49_49 = e4) % 59.73/24.87 | % 59.73/24.87 | Equations (446) can reduce 407 to: % 59.73/24.87 | (188) ~ (e4 = e3) % 59.73/24.87 | % 59.73/24.87 | Equations (446) can reduce 147 to: % 59.73/24.87 | (48) ~ (e4 = e2) % 59.73/24.87 | % 59.73/24.87 | Equations (446) can reduce 639 to: % 59.73/24.87 | (110) ~ (e4 = e1) % 59.73/24.87 | % 59.73/24.87 | Equations (446) can reduce 360 to: % 59.73/24.87 | (49) ~ (e4 = e0) % 59.73/24.87 | % 59.73/24.87 | From (446) and (138) follows: % 59.73/24.87 | (4646) op(e3, e0) = e4 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (112), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (635) all_0_44_44 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (446,635) yields a new equation: % 59.73/24.87 | (636) e4 = e1 % 59.73/24.87 | % 59.73/24.87 | Simplifying 636 yields: % 59.73/24.87 | (630) e4 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (630) can reduce 110 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (639) ~ (all_0_44_44 = e1) % 59.73/24.87 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (640), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (671) all_0_49_49 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (671) can reduce 256 to: % 59.73/24.87 | (602) ~ (e4 = e1) % 59.73/24.87 | % 59.73/24.87 | Simplifying 602 yields: % 59.73/24.87 | (110) ~ (e4 = e1) % 59.73/24.87 | % 59.73/24.87 | Equations (671) can reduce 340 to: % 59.73/24.87 | (604) ~ (e2 = e1) % 59.73/24.87 | % 59.73/24.87 | Simplifying 604 yields: % 59.73/24.87 | (122) ~ (e2 = e1) % 59.73/24.87 | % 59.73/24.87 | Equations (671) can reduce 487 to: % 59.73/24.87 | (233) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (231), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (775) all_0_50_50 = e4 % 59.73/24.87 | % 59.73/24.87 | Combining equations (378,775) yields a new equation: % 59.73/24.87 | (323) e4 = e2 % 59.73/24.87 | % 59.73/24.87 | Equations (323) can reduce 48 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (566) ~ (all_0_50_50 = e4) % 59.73/24.87 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.73/24.87 | % 59.73/24.87 | Equations (378) can reduce 566 to: % 59.73/24.87 | (327) ~ (e4 = e2) % 59.73/24.87 | % 59.73/24.87 | Simplifying 327 yields: % 59.73/24.87 | (48) ~ (e4 = e2) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (12), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (442) all_0_57_57 = e2 % 59.73/24.87 | % 59.73/24.87 | Equations (442) can reduce 344 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (344) ~ (all_0_57_57 = e2) % 59.73/24.87 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (216), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (629) all_0_55_55 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (858,629) yields a new equation: % 59.73/24.87 | (431) e1 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (431) can reduce 233 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (632) ~ (all_0_55_55 = e1) % 59.73/24.87 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 632 to: % 59.73/24.87 | (435) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 435 yields: % 59.73/24.87 | (233) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (7), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (504) all_0_51_51 = e2 % 59.73/24.87 | % 59.73/24.87 | Equations (504) can reduce 1099 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (1099) ~ (all_0_51_51 = e2) % 59.73/24.87 | (1100) all_0_51_51 = e4 | all_0_51_51 = e3 | all_0_51_51 = e1 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (230), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (396) all_0_43_43 = e4 % 59.73/24.87 | % 59.73/24.87 | Combining equations (356,396) yields a new equation: % 59.73/24.87 | (397) e4 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (397) can reduce 49 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (399) ~ (all_0_43_43 = e4) % 59.73/24.87 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (160), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (601) all_0_50_50 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (378,601) yields a new equation: % 59.73/24.87 | (616) e2 = e1 % 59.73/24.87 | % 59.73/24.87 | Simplifying 616 yields: % 59.73/24.87 | (617) e2 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (617) can reduce 122 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (759) ~ (all_0_50_50 = e1) % 59.73/24.87 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (378) can reduce 759 to: % 59.73/24.87 | (122) ~ (e2 = e1) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (133), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (833) all_0_56_56 = e2 % 59.73/24.87 | % 59.73/24.87 | Equations (833) can reduce 511 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (511) ~ (all_0_56_56 = e2) % 59.73/24.87 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (171), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (265) all_0_54_54 = e4 % 59.73/24.87 | % 59.73/24.87 | Combining equations (268,265) yields a new equation: % 59.73/24.87 | (425) e4 = e3 % 59.73/24.87 | % 59.73/24.87 | Equations (425) can reduce 188 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (258) ~ (all_0_54_54 = e4) % 59.73/24.87 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.73/24.87 | % 59.73/24.87 | Equations (268) can reduce 258 to: % 59.73/24.87 | (277) ~ (e4 = e3) % 59.73/24.87 | % 59.73/24.87 | Simplifying 277 yields: % 59.73/24.87 | (188) ~ (e4 = e3) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (164), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (471) all_0_39_39 = e4 % 59.73/24.87 | % 59.73/24.87 | Combining equations (471,317) yields a new equation: % 59.73/24.87 | (322) e4 = e2 % 59.73/24.87 | % 59.73/24.87 | Simplifying 322 yields: % 59.73/24.87 | (323) e4 = e2 % 59.73/24.87 | % 59.73/24.87 | Equations (323) can reduce 48 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (1377) ~ (all_0_39_39 = e4) % 59.73/24.87 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (56), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (696) unit = e2 % 59.73/24.87 | % 59.73/24.87 | From (696) and (211) follows: % 59.73/24.87 | (1612) op(e2, e1) = e1 % 59.73/24.87 | % 59.73/24.87 | From (696) and (32) follows: % 59.73/24.87 | (698) op(e2, e2) = e2 % 59.73/24.87 | % 59.73/24.87 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 59.73/24.87 | (330) e2 = e0 % 59.73/24.87 | % 59.73/24.87 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 59.73/24.87 | (617) e2 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (330,617) yields a new equation: % 59.73/24.87 | (431) e1 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (431) can reduce 233 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (707) ~ (unit = e2) % 59.73/24.87 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (355), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (565) all_0_52_52 = e4 % 59.73/24.87 | % 59.73/24.87 | Equations (565) can reduce 11 to: % 59.73/24.87 | (838) ~ (all_0_57_57 = e4) % 59.73/24.87 | % 59.73/24.87 | Simplifying 838 yields: % 59.73/24.87 | (839) ~ (all_0_57_57 = e4) % 59.73/24.87 | % 59.73/24.87 | Equations (565) can reduce 166 to: % 59.73/24.87 | (188) ~ (e4 = e3) % 59.73/24.87 | % 59.73/24.87 | Equations (565) can reduce 72 to: % 59.73/24.87 | (49) ~ (e4 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (434), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (615) all_0_48_48 = e1 % 59.73/24.87 | % 59.73/24.87 | Combining equations (335,615) yields a new equation: % 59.73/24.87 | (616) e2 = e1 % 59.73/24.87 | % 59.73/24.87 | Simplifying 616 yields: % 59.73/24.87 | (617) e2 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (617) can reduce 122 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (619) ~ (all_0_48_48 = e1) % 59.73/24.87 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (445), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (871) all_0_57_57 = e4 % 59.73/24.87 | % 59.73/24.87 | Equations (871) can reduce 839 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (839) ~ (all_0_57_57 = e4) % 59.73/24.87 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (1168), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (1109) all_0_51_51 = e1 % 59.73/24.87 | % 59.73/24.87 | From (1109) and (186) follows: % 59.73/24.87 | (699) op(e1, e2) = e1 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (874), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (875) all_0_57_57 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (875) can reduce 364 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (364) ~ (all_0_57_57 = e0) % 59.73/24.87 | (647) all_0_57_57 = e1 % 59.73/24.87 | % 59.73/24.87 | Equations (647) can reduce 839 to: % 59.73/24.87 | (602) ~ (e4 = e1) % 59.73/24.87 | % 59.73/24.87 | Simplifying 602 yields: % 59.73/24.87 | (110) ~ (e4 = e1) % 59.73/24.87 | % 59.73/24.87 | Equations (647) can reduce 364 to: % 59.73/24.87 | (233) ~ (e1 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (575), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (587) all_0_55_55 = e4 % 59.73/24.87 | % 59.73/24.87 | Combining equations (587,858) yields a new equation: % 59.73/24.87 | (481) e4 = e0 % 59.73/24.87 | % 59.73/24.87 | Simplifying 481 yields: % 59.73/24.87 | (397) e4 = e0 % 59.73/24.87 | % 59.73/24.87 | Equations (397) can reduce 49 to: % 59.73/24.87 | (266) $false % 59.73/24.87 | % 59.73/24.87 |-The branch is then unsatisfiable % 59.73/24.87 |-Branch two: % 59.73/24.87 | (763) ~ (all_0_55_55 = e4) % 59.73/24.87 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.73/24.87 | % 59.73/24.87 | Equations (858) can reduce 763 to: % 59.73/24.87 | (401) ~ (e4 = e0) % 59.73/24.87 | % 59.73/24.87 | Simplifying 401 yields: % 59.73/24.87 | (49) ~ (e4 = e0) % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (836), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (842) all_0_56_56 = e4 % 59.73/24.87 | % 59.73/24.87 | From (842) and (111) follows: % 59.73/24.87 | (2154) op(e0, e2) = e4 % 59.73/24.87 | % 59.73/24.87 +-Applying beta-rule and splitting (708), into two cases. % 59.73/24.87 |-Branch one: % 59.73/24.87 | (709) unit = e4 % 59.73/24.87 | % 59.73/24.87 | From (709) and (24) follows: % 59.73/24.87 | (33325) op(e4, e3) = e3 % 59.73/24.87 | % 59.73/24.87 | From (709) and (227) follows: % 59.73/24.88 | (710) op(e4, e4) = e4 % 59.73/24.88 | % 59.73/24.88 | From (709) and (42) follows: % 59.73/24.88 | (713) op(e0, e4) = e0 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.73/24.88 | (630) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.73/24.88 | (425) e4 = e3 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.73/24.88 | (676) e3 = e0 % 59.73/24.88 | % 59.73/24.88 | Combining equations (630,425) yields a new equation: % 59.73/24.88 | (455) e3 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (455,676) yields a new equation: % 59.73/24.88 | (546) e1 = e0 % 59.73/24.88 | % 59.73/24.88 | Simplifying 546 yields: % 59.73/24.88 | (431) e1 = e0 % 59.73/24.88 | % 59.73/24.88 | Equations (431) can reduce 233 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (724) ~ (unit = e4) % 59.73/24.88 | (725) unit = e3 | unit = e1 | unit = e0 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (725), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (726) unit = e0 % 59.73/24.88 | % 59.73/24.88 | From (726) and (244) follows: % 59.73/24.88 | (2207) op(e0, e4) = e4 % 59.73/24.88 | % 59.73/24.88 | From (726) and (15) follows: % 59.73/24.88 | (1508) op(e0, e2) = e2 % 59.73/24.88 | % 59.73/24.88 | From (726) and (28) follows: % 59.73/24.88 | (2698) op(e1, e0) = e1 % 59.73/24.88 | % 59.73/24.88 | From (726) and (42) follows: % 59.73/24.88 | (728) op(e0, e0) = e0 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 59.73/24.88 | (455) e3 = e1 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.73/24.88 | (425) e4 = e3 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.73/24.88 | (323) e4 = e2 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.73/24.88 | (330) e2 = e0 % 59.73/24.88 | % 59.73/24.88 | Combining equations (323,425) yields a new equation: % 59.73/24.88 | (662) e3 = e2 % 59.73/24.88 | % 59.73/24.88 | Combining equations (662,455) yields a new equation: % 59.73/24.88 | (616) e2 = e1 % 59.73/24.88 | % 59.73/24.88 | Simplifying 616 yields: % 59.73/24.88 | (617) e2 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (330,617) yields a new equation: % 59.73/24.88 | (431) e1 = e0 % 59.73/24.88 | % 59.73/24.88 | Equations (431) can reduce 233 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (734) ~ (unit = e0) % 59.73/24.88 | (735) unit = e3 | unit = e1 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (735), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (736) unit = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (736) can reduce 734 to: % 59.73/24.88 | (233) ~ (e1 = e0) % 59.73/24.88 | % 59.73/24.88 | From (736) and (244) follows: % 59.73/24.88 | (738) op(e1, e4) = e4 % 59.73/24.88 | % 59.73/24.88 | From (736) and (24) follows: % 59.73/24.88 | (1934) op(e1, e3) = e3 % 59.73/24.88 | % 59.73/24.88 | From (736) and (15) follows: % 59.73/24.88 | (515) op(e1, e2) = e2 % 59.73/24.88 | % 59.73/24.88 | From (736) and (227) follows: % 59.73/24.88 | (739) op(e4, e1) = e4 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.73/24.88 | (425) e4 = e3 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 59.73/24.88 | (397) e4 = e0 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 59.73/24.88 | (662) e3 = e2 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e1, e2, e2, e1 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields: % 59.73/24.88 | (617) e2 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (425,397) yields a new equation: % 59.73/24.88 | (675) e3 = e0 % 59.73/24.88 | % 59.73/24.88 | Simplifying 675 yields: % 59.73/24.88 | (676) e3 = e0 % 59.73/24.88 | % 59.73/24.88 | Combining equations (662,676) yields a new equation: % 59.73/24.88 | (391) e2 = e0 % 59.73/24.88 | % 59.73/24.88 | Simplifying 391 yields: % 59.73/24.88 | (330) e2 = e0 % 59.73/24.88 | % 59.73/24.88 | Combining equations (330,617) yields a new equation: % 59.73/24.88 | (431) e1 = e0 % 59.73/24.88 | % 59.73/24.88 | Equations (431) can reduce 233 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (748) ~ (unit = e1) % 59.73/24.88 | (749) unit = e3 % 59.73/24.88 | % 59.73/24.88 | From (749) and (244) follows: % 59.73/24.88 | (750) op(e3, e4) = e4 % 59.73/24.88 | % 59.73/24.88 | From (749) and (209) follows: % 59.73/24.88 | (1667) op(e3, e0) = e0 % 59.73/24.88 | % 59.73/24.88 | From (749) and (40) follows: % 59.73/24.88 | (3715) op(e3, e3) = e3 % 59.73/24.88 | % 59.73/24.88 | From (749) and (32) follows: % 59.73/24.88 | (5793) op(e2, e3) = e2 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.73/24.88 | (323) e4 = e2 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 59.73/24.88 | (455) e3 = e1 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 59.73/24.88 | (397) e4 = e0 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.73/24.88 | (662) e3 = e2 % 59.73/24.88 | % 59.73/24.88 | Combining equations (397,323) yields a new equation: % 59.73/24.88 | (330) e2 = e0 % 59.73/24.88 | % 59.73/24.88 | Combining equations (662,455) yields a new equation: % 59.73/24.88 | (616) e2 = e1 % 59.73/24.88 | % 59.73/24.88 | Simplifying 616 yields: % 59.73/24.88 | (617) e2 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (330,617) yields a new equation: % 59.73/24.88 | (431) e1 = e0 % 59.73/24.88 | % 59.73/24.88 | Equations (431) can reduce 233 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (477) ~ (all_0_56_56 = e4) % 59.73/24.88 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (2115), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (1392) all_0_42_42 = e4 % 59.73/24.88 | % 59.73/24.88 | Combining equations (1392,516) yields a new equation: % 59.73/24.88 | (424) e4 = e3 % 59.73/24.88 | % 59.73/24.88 | Simplifying 424 yields: % 59.73/24.88 | (425) e4 = e3 % 59.73/24.88 | % 59.73/24.88 | Equations (425) can reduce 188 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (1890) ~ (all_0_42_42 = e4) % 59.73/24.88 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (764), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (842) all_0_56_56 = e4 % 59.73/24.88 | % 59.73/24.88 | Equations (842) can reduce 477 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (477) ~ (all_0_56_56 = e4) % 59.73/24.88 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (2246), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (1790) all_0_47_47 = e4 % 59.73/24.88 | % 59.73/24.88 | Combining equations (1790,674) yields a new equation: % 59.73/24.88 | (481) e4 = e0 % 59.73/24.88 | % 59.73/24.88 | Simplifying 481 yields: % 59.73/24.88 | (397) e4 = e0 % 59.73/24.88 | % 59.73/24.88 | Equations (397) can reduce 49 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (252) ~ (all_0_47_47 = e4) % 59.73/24.88 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (6548), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (1101) all_0_51_51 = e4 % 59.73/24.88 | % 59.73/24.88 | Combining equations (1101,1109) yields a new equation: % 59.73/24.88 | (636) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Simplifying 636 yields: % 59.73/24.88 | (630) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (630) can reduce 110 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (475) ~ (all_0_51_51 = e4) % 59.73/24.88 | (842) all_0_56_56 = e4 % 59.73/24.88 | % 59.73/24.88 | Equations (842) can reduce 477 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (464) ~ (all_0_51_51 = e1) % 59.73/24.88 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (620), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (642) all_0_52_52 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (565,642) yields a new equation: % 59.73/24.88 | (636) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Simplifying 636 yields: % 59.73/24.88 | (630) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (630) can reduce 110 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (646) ~ (all_0_52_52 = e1) % 59.73/24.88 | (647) all_0_57_57 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (647) can reduce 140 to: % 59.73/24.88 | (466) ~ (all_0_56_56 = e1) % 59.73/24.88 | % 59.73/24.88 | Equations (647) can reduce 67 to: % 59.73/24.88 | (467) ~ (e3 = e1) % 59.73/24.88 | % 59.73/24.88 | Simplifying 467 yields: % 59.73/24.88 | (213) ~ (e3 = e1) % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (836), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (842) all_0_56_56 = e4 % 59.73/24.88 | % 59.73/24.88 | Equations (842) can reduce 466 to: % 59.73/24.88 | (110) ~ (e4 = e1) % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (1202), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (642) all_0_52_52 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (642,565) yields a new equation: % 59.73/24.88 | (630) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (630) can reduce 110 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (646) ~ (all_0_52_52 = e1) % 59.73/24.88 | (1208) all_0_53_53 = e1 % 59.73/24.88 | % 59.73/24.88 | Combining equations (665,1208) yields a new equation: % 59.73/24.88 | (454) e3 = e1 % 59.73/24.88 | % 59.73/24.88 | Simplifying 454 yields: % 59.73/24.88 | (455) e3 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (455) can reduce 213 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (477) ~ (all_0_56_56 = e4) % 59.73/24.88 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (845), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (679) all_0_56_56 = e0 % 59.73/24.88 | % 59.73/24.88 | Equations (679) can reduce 828 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (828) ~ (all_0_56_56 = e0) % 59.73/24.88 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (3172), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (1569) all_0_56_56 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (1569) can reduce 466 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (466) ~ (all_0_56_56 = e1) % 59.73/24.88 | (1097) all_0_56_56 = e3 % 59.73/24.88 | % 59.73/24.88 | Equations (1097) can reduce 272 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (780) ~ (all_0_52_52 = e4) % 59.73/24.88 | (642) all_0_52_52 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (642) can reduce 20 to: % 59.73/24.88 | (464) ~ (all_0_51_51 = e1) % 59.73/24.88 | % 59.73/24.88 | Equations (642) can reduce 11 to: % 59.73/24.88 | (2437) ~ (all_0_57_57 = e1) % 59.73/24.88 | % 59.73/24.88 | Simplifying 2437 yields: % 59.73/24.88 | (1670) ~ (all_0_57_57 = e1) % 59.73/24.88 | % 59.73/24.88 | Equations (642) can reduce 780 to: % 59.73/24.88 | (602) ~ (e4 = e1) % 59.73/24.88 | % 59.73/24.88 | Simplifying 602 yields: % 59.73/24.88 | (110) ~ (e4 = e1) % 59.73/24.88 | % 59.73/24.88 | Equations (642) can reduce 342 to: % 59.73/24.88 | (604) ~ (e2 = e1) % 59.73/24.88 | % 59.73/24.88 | Simplifying 604 yields: % 59.73/24.88 | (122) ~ (e2 = e1) % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (1071), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (1101) all_0_51_51 = e4 % 59.73/24.88 | % 59.73/24.88 | Equations (1101) can reduce 1099 to: % 59.73/24.88 | (48) ~ (e4 = e2) % 59.73/24.88 | % 59.73/24.88 | Equations (1101) can reduce 464 to: % 59.73/24.88 | (110) ~ (e4 = e1) % 59.73/24.88 | % 59.73/24.88 | From (1101) and (186) follows: % 59.73/24.88 | (13720) op(e1, e2) = e4 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (400), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (943) all_0_48_48 = e4 % 59.73/24.88 | % 59.73/24.88 | Combining equations (335,943) yields a new equation: % 59.73/24.88 | (323) e4 = e2 % 59.73/24.88 | % 59.73/24.88 | Equations (323) can reduce 48 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (254) ~ (all_0_48_48 = e4) % 59.73/24.88 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (947), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (565) all_0_52_52 = e4 % 59.73/24.88 | % 59.73/24.88 | Combining equations (642,565) yields a new equation: % 59.73/24.88 | (630) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (630) can reduce 110 to: % 59.73/24.88 | (266) $false % 59.73/24.88 | % 59.73/24.88 |-The branch is then unsatisfiable % 59.73/24.88 |-Branch two: % 59.73/24.88 | (780) ~ (all_0_52_52 = e4) % 59.73/24.88 | (871) all_0_57_57 = e4 % 59.73/24.88 | % 59.73/24.88 | Equations (871) can reduce 1670 to: % 59.73/24.88 | (110) ~ (e4 = e1) % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (633), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (1569) all_0_56_56 = e1 % 59.73/24.88 | % 59.73/24.88 | Equations (1569) can reduce 828 to: % 59.73/24.88 | (233) ~ (e1 = e0) % 59.73/24.88 | % 59.73/24.88 | From (1569) and (111) follows: % 59.73/24.88 | (3175) op(e0, e2) = e1 % 59.73/24.88 | % 59.73/24.88 +-Applying beta-rule and splitting (708), into two cases. % 59.73/24.88 |-Branch one: % 59.73/24.88 | (709) unit = e4 % 59.73/24.88 | % 59.73/24.88 | From (709) and (24) follows: % 59.73/24.88 | (33325) op(e4, e3) = e3 % 59.73/24.88 | % 59.73/24.88 | From (709) and (227) follows: % 59.73/24.88 | (710) op(e4, e4) = e4 % 59.73/24.88 | % 59.73/24.88 | From (709) and (42) follows: % 59.73/24.88 | (713) op(e0, e4) = e0 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.73/24.88 | (630) e4 = e1 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.73/24.88 | (425) e4 = e3 % 59.73/24.88 | % 59.73/24.88 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.73/24.88 | (676) e3 = e0 % 59.73/24.88 | % 59.73/24.88 | Combining equations (630,425) yields a new equation: % 59.73/24.88 | (455) e3 = e1 % 59.73/24.88 | % 59.73/24.89 | Combining equations (455,676) yields a new equation: % 59.73/24.89 | (546) e1 = e0 % 59.73/24.89 | % 59.73/24.89 | Simplifying 546 yields: % 59.73/24.89 | (431) e1 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (431) can reduce 233 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (724) ~ (unit = e4) % 59.73/24.89 | (725) unit = e3 | unit = e1 | unit = e0 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (725), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (726) unit = e0 % 59.73/24.89 | % 59.73/24.89 | From (726) and (15) follows: % 59.73/24.89 | (1508) op(e0, e2) = e2 % 59.73/24.89 | % 59.73/24.89 | From (726) and (42) follows: % 59.73/24.89 | (728) op(e0, e0) = e0 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 59.73/24.89 | (617) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.73/24.89 | (330) e2 = e0 % 59.73/24.89 | % 59.73/24.89 | Combining equations (330,617) yields a new equation: % 59.73/24.89 | (431) e1 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (431) can reduce 233 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (734) ~ (unit = e0) % 59.73/24.89 | (735) unit = e3 | unit = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (735), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (736) unit = e1 % 59.73/24.89 | % 59.73/24.89 | From (736) and (15) follows: % 59.73/24.89 | (515) op(e1, e2) = e2 % 59.73/24.89 | % 59.73/24.89 | From (736) and (209) follows: % 59.73/24.89 | (2715) op(e1, e0) = e0 % 59.73/24.89 | % 59.73/24.89 | From (736) and (227) follows: % 59.73/24.89 | (739) op(e4, e1) = e4 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.73/24.89 | (425) e4 = e3 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields: % 59.73/24.89 | (323) e4 = e2 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 59.73/24.89 | (676) e3 = e0 % 59.73/24.89 | % 59.73/24.89 | Combining equations (425,323) yields a new equation: % 59.73/24.89 | (661) e3 = e2 % 59.73/24.89 | % 59.73/24.89 | Simplifying 661 yields: % 59.73/24.89 | (662) e3 = e2 % 59.73/24.89 | % 59.73/24.89 | Combining equations (662,676) yields a new equation: % 59.73/24.89 | (391) e2 = e0 % 59.73/24.89 | % 59.73/24.89 | Simplifying 391 yields: % 59.73/24.89 | (330) e2 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (330) can reduce 128 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (748) ~ (unit = e1) % 59.73/24.89 | (749) unit = e3 % 59.73/24.89 | % 59.73/24.89 | From (749) and (244) follows: % 59.73/24.89 | (750) op(e3, e4) = e4 % 59.73/24.89 | % 59.73/24.89 | From (749) and (209) follows: % 59.73/24.89 | (1667) op(e3, e0) = e0 % 59.73/24.89 | % 59.73/24.89 | From (749) and (40) follows: % 59.73/24.89 | (3715) op(e3, e3) = e3 % 59.73/24.89 | % 59.73/24.89 | From (749) and (32) follows: % 59.73/24.89 | (5793) op(e2, e3) = e2 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.73/24.89 | (323) e4 = e2 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e3, e3, e3, e1 and discharging atoms op(e3, e3) = e3, op(e3, e3) = e1, yields: % 59.73/24.89 | (455) e3 = e1 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 59.73/24.89 | (397) e4 = e0 % 59.73/24.89 | % 59.73/24.89 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.73/24.89 | (662) e3 = e2 % 59.73/24.89 | % 59.73/24.89 | Combining equations (397,323) yields a new equation: % 59.73/24.89 | (330) e2 = e0 % 59.73/24.89 | % 59.73/24.89 | Combining equations (662,455) yields a new equation: % 59.73/24.89 | (616) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Simplifying 616 yields: % 59.73/24.89 | (617) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (330,617) yields a new equation: % 59.73/24.89 | (431) e1 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (431) can reduce 233 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (466) ~ (all_0_56_56 = e1) % 59.73/24.89 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (1574), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (647) all_0_57_57 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (871,647) yields a new equation: % 59.73/24.89 | (636) e4 = e1 % 59.73/24.89 | % 59.73/24.89 | Simplifying 636 yields: % 59.73/24.89 | (630) e4 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (630) can reduce 110 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1670) ~ (all_0_57_57 = e1) % 59.73/24.89 | (918) all_0_58_58 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (918,624) yields a new equation: % 59.73/24.89 | (617) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (617) can reduce 122 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (475) ~ (all_0_51_51 = e4) % 59.73/24.89 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (1294), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (565) all_0_52_52 = e4 % 59.73/24.89 | % 59.73/24.89 | Combining equations (642,565) yields a new equation: % 59.73/24.89 | (630) e4 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (630) can reduce 110 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (780) ~ (all_0_52_52 = e4) % 59.73/24.89 | (1298) all_0_53_53 = e4 % 59.73/24.89 | % 59.73/24.89 | Combining equations (1298,665) yields a new equation: % 59.73/24.89 | (424) e4 = e3 % 59.73/24.89 | % 59.73/24.89 | Simplifying 424 yields: % 59.73/24.89 | (425) e4 = e3 % 59.73/24.89 | % 59.73/24.89 | Equations (425) can reduce 188 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1064) ~ (all_0_49_49 = e1) % 59.73/24.89 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (2141), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (1208) all_0_53_53 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (665,1208) yields a new equation: % 59.73/24.89 | (454) e3 = e1 % 59.73/24.89 | % 59.73/24.89 | Simplifying 454 yields: % 59.73/24.89 | (455) e3 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (455) can reduce 213 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1459) ~ (all_0_53_53 = e1) % 59.73/24.89 | (918) all_0_58_58 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (918,624) yields a new equation: % 59.73/24.89 | (617) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (617) can reduce 122 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1390) ~ (all_0_44_44 = e4) % 59.73/24.89 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (1391), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (1414) all_0_44_44 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (1414) can reduce 360 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (360) ~ (all_0_44_44 = e0) % 59.73/24.89 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (1417), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (635) all_0_44_44 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (635) can reduce 639 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (639) ~ (all_0_44_44 = e1) % 59.73/24.89 | (532) all_0_44_44 = e3 % 59.73/24.89 | % 59.73/24.89 | Equations (532) can reduce 407 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (457) ~ (all_0_41_41 = e1) % 59.73/24.89 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (595), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (545) all_0_46_46 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (1557,545) yields a new equation: % 59.73/24.89 | (454) e3 = e1 % 59.73/24.89 | % 59.73/24.89 | Simplifying 454 yields: % 59.73/24.89 | (455) e3 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (455) can reduce 213 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (549) ~ (all_0_46_46 = e1) % 59.73/24.89 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (600), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (601) all_0_50_50 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (378,601) yields a new equation: % 59.73/24.89 | (616) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Simplifying 616 yields: % 59.73/24.89 | (617) e2 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (617) can reduce 122 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (759) ~ (all_0_50_50 = e1) % 59.73/24.89 | (629) all_0_55_55 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (858,629) yields a new equation: % 59.73/24.89 | (431) e1 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (431) can reduce 233 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (409) ~ (all_0_46_46 = e3) % 59.73/24.89 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (4042), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (415) all_0_50_50 = e3 % 59.73/24.89 | % 59.73/24.89 | Combining equations (378,415) yields a new equation: % 59.73/24.89 | (662) e3 = e2 % 59.73/24.89 | % 59.73/24.89 | Equations (662) can reduce 212 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (411) ~ (all_0_50_50 = e3) % 59.73/24.89 | (2336) all_0_55_55 = e3 % 59.73/24.89 | % 59.73/24.89 | Combining equations (2336,858) yields a new equation: % 59.73/24.89 | (675) e3 = e0 % 59.73/24.89 | % 59.73/24.89 | Simplifying 675 yields: % 59.73/24.89 | (676) e3 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (676) can reduce 80 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (405) ~ (all_0_42_42 = e3) % 59.73/24.89 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (521), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (522) all_0_47_47 = e3 % 59.73/24.89 | % 59.73/24.89 | Combining equations (674,522) yields a new equation: % 59.73/24.89 | (676) e3 = e0 % 59.73/24.89 | % 59.73/24.89 | Equations (676) can reduce 80 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1091) ~ (all_0_47_47 = e3) % 59.73/24.89 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (1092), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (660) all_0_51_51 = e3 % 59.73/24.89 | % 59.73/24.89 | Equations (660) can reduce 61 to: % 59.73/24.89 | (405) ~ (all_0_42_42 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (660) can reduce 20 to: % 59.73/24.89 | (1927) ~ (all_0_52_52 = e3) % 59.73/24.89 | % 59.73/24.89 | Simplifying 1927 yields: % 59.73/24.89 | (166) ~ (all_0_52_52 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (660) can reduce 6 to: % 59.73/24.89 | (1114) ~ (all_0_53_53 = e3) % 59.73/24.89 | % 59.73/24.89 | Simplifying 1114 yields: % 59.73/24.89 | (903) ~ (all_0_53_53 = e3) % 59.73/24.89 | % 59.73/24.89 | From (660) and (186) follows: % 59.73/24.89 | (1552) op(e1, e2) = e3 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (113), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (403) all_0_41_41 = e3 % 59.73/24.89 | % 59.73/24.89 | Equations (403) can reduce 214 to: % 59.73/24.89 | (404) ~ (all_0_42_42 = e3) % 59.73/24.89 | % 59.73/24.89 | Simplifying 404 yields: % 59.73/24.89 | (405) ~ (all_0_42_42 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (403) can reduce 149 to: % 59.73/24.89 | (406) ~ (all_0_44_44 = e3) % 59.73/24.89 | % 59.73/24.89 | Simplifying 406 yields: % 59.73/24.89 | (407) ~ (all_0_44_44 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (403) can reduce 85 to: % 59.73/24.89 | (212) ~ (e3 = e2) % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (18), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (453) all_0_41_41 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (453,403) yields a new equation: % 59.73/24.89 | (455) e3 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (455) can reduce 213 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (457) ~ (all_0_41_41 = e1) % 59.73/24.89 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (189), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (532) all_0_44_44 = e3 % 59.73/24.89 | % 59.73/24.89 | Equations (532) can reduce 407 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (407) ~ (all_0_44_44 = e3) % 59.73/24.89 | (537) all_0_49_49 = e3 | all_0_53_53 = e3 | all_0_58_58 = e3 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (123), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (1794) all_0_46_46 = e2 % 59.73/24.89 | % 59.73/24.89 | Equations (1794) can reduce 300 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (300) ~ (all_0_46_46 = e2) % 59.73/24.89 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (537), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (884) all_0_49_49 = e3 % 59.73/24.89 | % 59.73/24.89 | Equations (884) can reduce 9 to: % 59.73/24.89 | (407) ~ (all_0_44_44 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (884) can reduce 208 to: % 59.73/24.89 | (409) ~ (all_0_46_46 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (884) can reduce 256 to: % 59.73/24.89 | (277) ~ (e4 = e3) % 59.73/24.89 | % 59.73/24.89 | Simplifying 277 yields: % 59.73/24.89 | (188) ~ (e4 = e3) % 59.73/24.89 | % 59.73/24.89 | From (884) and (55) follows: % 59.73/24.89 | (1581) op(e2, e0) = e3 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (135), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (545) all_0_46_46 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (545) can reduce 250 to: % 59.73/24.89 | (602) ~ (e4 = e1) % 59.73/24.89 | % 59.73/24.89 | Simplifying 602 yields: % 59.73/24.89 | (110) ~ (e4 = e1) % 59.73/24.89 | % 59.73/24.89 | Equations (545) can reduce 409 to: % 59.73/24.89 | (467) ~ (e3 = e1) % 59.73/24.89 | % 59.73/24.89 | Simplifying 467 yields: % 59.73/24.89 | (213) ~ (e3 = e1) % 59.73/24.89 | % 59.73/24.89 | Equations (545) can reduce 300 to: % 59.73/24.89 | (604) ~ (e2 = e1) % 59.73/24.89 | % 59.73/24.89 | Simplifying 604 yields: % 59.73/24.89 | (122) ~ (e2 = e1) % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (26), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (446) all_0_44_44 = e4 % 59.73/24.89 | % 59.73/24.89 | Equations (446) can reduce 73 to: % 59.73/24.89 | (1890) ~ (all_0_42_42 = e4) % 59.73/24.89 | % 59.73/24.89 | Equations (446) can reduce 407 to: % 59.73/24.89 | (188) ~ (e4 = e3) % 59.73/24.89 | % 59.73/24.89 | Equations (446) can reduce 147 to: % 59.73/24.89 | (48) ~ (e4 = e2) % 59.73/24.89 | % 59.73/24.89 | From (446) and (138) follows: % 59.73/24.89 | (4646) op(e3, e0) = e4 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (152), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (1392) all_0_42_42 = e4 % 59.73/24.89 | % 59.73/24.89 | Equations (1392) can reduce 1890 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1890) ~ (all_0_42_42 = e4) % 59.73/24.89 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (231), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (775) all_0_50_50 = e4 % 59.73/24.89 | % 59.73/24.89 | Combining equations (378,775) yields a new equation: % 59.73/24.89 | (323) e4 = e2 % 59.73/24.89 | % 59.73/24.89 | Equations (323) can reduce 48 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (566) ~ (all_0_50_50 = e4) % 59.73/24.89 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.73/24.89 | % 59.73/24.89 | Equations (378) can reduce 566 to: % 59.73/24.89 | (327) ~ (e4 = e2) % 59.73/24.89 | % 59.73/24.89 | Simplifying 327 yields: % 59.73/24.89 | (48) ~ (e4 = e2) % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (112), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (635) all_0_44_44 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (635,446) yields a new equation: % 59.73/24.89 | (630) e4 = e1 % 59.73/24.89 | % 59.73/24.89 | Equations (630) can reduce 110 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (639) ~ (all_0_44_44 = e1) % 59.73/24.89 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (164), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (471) all_0_39_39 = e4 % 59.73/24.89 | % 59.73/24.89 | Combining equations (471,317) yields a new equation: % 59.73/24.89 | (322) e4 = e2 % 59.73/24.89 | % 59.73/24.89 | Simplifying 322 yields: % 59.73/24.89 | (323) e4 = e2 % 59.73/24.89 | % 59.73/24.89 | Equations (323) can reduce 48 to: % 59.73/24.89 | (266) $false % 59.73/24.89 | % 59.73/24.89 |-The branch is then unsatisfiable % 59.73/24.89 |-Branch two: % 59.73/24.89 | (1377) ~ (all_0_39_39 = e4) % 59.73/24.89 | (2115) all_0_42_42 = e4 | all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.73/24.89 | % 59.73/24.89 +-Applying beta-rule and splitting (640), into two cases. % 59.73/24.89 |-Branch one: % 59.73/24.89 | (671) all_0_49_49 = e1 % 59.73/24.89 | % 59.73/24.89 | Combining equations (884,671) yields a new equation: % 59.73/24.89 | (454) e3 = e1 % 59.73/24.90 | % 59.73/24.90 | Simplifying 454 yields: % 59.73/24.90 | (455) e3 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (455) can reduce 213 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (1064) ~ (all_0_49_49 = e1) % 59.73/24.90 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (1969), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (559) all_0_42_42 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (559) can reduce 358 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (358) ~ (all_0_42_42 = e0) % 59.73/24.90 | (2510) all_0_42_42 = e3 | all_0_42_42 = e1 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (2141), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (1208) all_0_53_53 = e1 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (2115), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (1392) all_0_42_42 = e4 % 59.73/24.90 | % 59.73/24.90 | Equations (1392) can reduce 1890 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (1890) ~ (all_0_42_42 = e4) % 59.73/24.90 | (2246) all_0_47_47 = e4 | all_0_51_51 = e4 | all_0_56_56 = e4 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (1071), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (1101) all_0_51_51 = e4 % 59.73/24.90 | % 59.73/24.90 | Combining equations (660,1101) yields a new equation: % 59.73/24.90 | (425) e4 = e3 % 59.73/24.90 | % 59.73/24.90 | Equations (425) can reduce 188 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (475) ~ (all_0_51_51 = e4) % 59.73/24.90 | (1294) all_0_52_52 = e4 | all_0_53_53 = e4 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (2510), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (459) all_0_42_42 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (459) can reduce 236 to: % 59.73/24.90 | (465) ~ (all_0_56_56 = e1) % 59.73/24.90 | % 59.73/24.90 | Simplifying 465 yields: % 59.73/24.90 | (466) ~ (all_0_56_56 = e1) % 59.73/24.90 | % 59.73/24.90 | Equations (459) can reduce 1890 to: % 59.73/24.90 | (602) ~ (e4 = e1) % 59.73/24.90 | % 59.73/24.90 | Simplifying 602 yields: % 59.73/24.90 | (110) ~ (e4 = e1) % 59.73/24.90 | % 59.73/24.90 | Equations (459) can reduce 51 to: % 59.73/24.90 | (604) ~ (e2 = e1) % 59.73/24.90 | % 59.73/24.90 | Simplifying 604 yields: % 59.73/24.90 | (122) ~ (e2 = e1) % 59.73/24.90 | % 59.73/24.90 | Equations (459) can reduce 358 to: % 59.73/24.90 | (233) ~ (e1 = e0) % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (1294), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (565) all_0_52_52 = e4 % 59.73/24.90 | % 59.73/24.90 | Equations (565) can reduce 166 to: % 59.73/24.90 | (188) ~ (e4 = e3) % 59.73/24.90 | % 59.73/24.90 | Equations (565) can reduce 72 to: % 59.73/24.90 | (49) ~ (e4 = e0) % 59.73/24.90 | % 59.73/24.90 | From (565) and (124) follows: % 59.73/24.90 | (570) op(e1, e1) = e4 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (216), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (629) all_0_55_55 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (858,629) yields a new equation: % 59.73/24.90 | (431) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (431) can reduce 233 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (632) ~ (all_0_55_55 = e1) % 59.73/24.90 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (133), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (833) all_0_56_56 = e2 % 59.73/24.90 | % 59.73/24.90 | Equations (833) can reduce 511 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (511) ~ (all_0_56_56 = e2) % 59.73/24.90 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (171), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (265) all_0_54_54 = e4 % 59.73/24.90 | % 59.73/24.90 | Combining equations (268,265) yields a new equation: % 59.73/24.90 | (425) e4 = e3 % 59.73/24.90 | % 59.73/24.90 | Equations (425) can reduce 188 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (258) ~ (all_0_54_54 = e4) % 59.73/24.90 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.73/24.90 | % 59.73/24.90 | Equations (268) can reduce 258 to: % 59.73/24.90 | (277) ~ (e4 = e3) % 59.73/24.90 | % 59.73/24.90 | Simplifying 277 yields: % 59.73/24.90 | (188) ~ (e4 = e3) % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (836), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (842) all_0_56_56 = e4 % 59.73/24.90 | % 59.73/24.90 | Equations (842) can reduce 466 to: % 59.73/24.90 | (110) ~ (e4 = e1) % 59.73/24.90 | % 59.73/24.90 | From (842) and (111) follows: % 59.73/24.90 | (2154) op(e0, e2) = e4 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (434), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (615) all_0_48_48 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (615,335) yields a new equation: % 59.73/24.90 | (617) e2 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (617) can reduce 122 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (619) ~ (all_0_48_48 = e1) % 59.73/24.90 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (633), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (1569) all_0_56_56 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (842,1569) yields a new equation: % 59.73/24.90 | (636) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Simplifying 636 yields: % 59.73/24.90 | (630) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (630) can reduce 110 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (466) ~ (all_0_56_56 = e1) % 59.73/24.90 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (842) can reduce 466 to: % 59.73/24.90 | (110) ~ (e4 = e1) % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (620), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (642) all_0_52_52 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (565,642) yields a new equation: % 59.73/24.90 | (636) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Simplifying 636 yields: % 59.73/24.90 | (630) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (630) can reduce 110 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (646) ~ (all_0_52_52 = e1) % 59.73/24.90 | (647) all_0_57_57 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (647) can reduce 364 to: % 59.73/24.90 | (233) ~ (e1 = e0) % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (56), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (696) unit = e2 % 59.73/24.90 | % 59.73/24.90 | From (696) and (211) follows: % 59.73/24.90 | (1612) op(e2, e1) = e1 % 59.73/24.90 | % 59.73/24.90 | From (696) and (227) follows: % 59.73/24.90 | (4284) op(e4, e2) = e4 % 59.73/24.90 | % 59.73/24.90 | From (696) and (42) follows: % 59.73/24.90 | (1613) op(e0, e2) = e0 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.73/24.90 | (323) e4 = e2 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 59.73/24.90 | (617) e2 = e1 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 59.73/24.90 | (397) e4 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (323,397) yields a new equation: % 59.73/24.90 | (391) e2 = e0 % 59.73/24.90 | % 59.73/24.90 | Simplifying 391 yields: % 59.73/24.90 | (330) e2 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (617,330) yields a new equation: % 59.73/24.90 | (546) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Simplifying 546 yields: % 59.73/24.90 | (431) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (431) can reduce 233 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (707) ~ (unit = e2) % 59.73/24.90 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (708), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (709) unit = e4 % 59.73/24.90 | % 59.73/24.90 | From (709) and (24) follows: % 59.73/24.90 | (33325) op(e4, e3) = e3 % 59.73/24.90 | % 59.73/24.90 | From (709) and (227) follows: % 59.73/24.90 | (710) op(e4, e4) = e4 % 59.73/24.90 | % 59.73/24.90 | From (709) and (42) follows: % 59.73/24.90 | (713) op(e0, e4) = e0 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.73/24.90 | (630) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.73/24.90 | (425) e4 = e3 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.73/24.90 | (676) e3 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (630,425) yields a new equation: % 59.73/24.90 | (455) e3 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (455,676) yields a new equation: % 59.73/24.90 | (546) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Simplifying 546 yields: % 59.73/24.90 | (431) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (431) can reduce 233 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (724) ~ (unit = e4) % 59.73/24.90 | (725) unit = e3 | unit = e1 | unit = e0 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (725), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (726) unit = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (726) can reduce 707 to: % 59.73/24.90 | (365) ~ (e2 = e0) % 59.73/24.90 | % 59.73/24.90 | Simplifying 365 yields: % 59.73/24.90 | (128) ~ (e2 = e0) % 59.73/24.90 | % 59.73/24.90 | From (726) and (244) follows: % 59.73/24.90 | (2207) op(e0, e4) = e4 % 59.73/24.90 | % 59.73/24.90 | From (726) and (15) follows: % 59.73/24.90 | (1508) op(e0, e2) = e2 % 59.73/24.90 | % 59.73/24.90 | From (726) and (227) follows: % 59.73/24.90 | (3205) op(e4, e0) = e4 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 59.73/24.90 | (397) e4 = e0 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.73/24.90 | (425) e4 = e3 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.73/24.90 | (323) e4 = e2 % 59.73/24.90 | % 59.73/24.90 | Combining equations (397,425) yields a new equation: % 59.73/24.90 | (676) e3 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (323,425) yields a new equation: % 59.73/24.90 | (662) e3 = e2 % 59.73/24.90 | % 59.73/24.90 | Combining equations (676,662) yields a new equation: % 59.73/24.90 | (330) e2 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (330) can reduce 128 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (734) ~ (unit = e0) % 59.73/24.90 | (735) unit = e3 | unit = e1 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (735), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (736) unit = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (736) can reduce 734 to: % 59.73/24.90 | (233) ~ (e1 = e0) % 59.73/24.90 | % 59.73/24.90 | From (736) and (244) follows: % 59.73/24.90 | (738) op(e1, e4) = e4 % 59.73/24.90 | % 59.73/24.90 | From (736) and (15) follows: % 59.73/24.90 | (515) op(e1, e2) = e2 % 59.73/24.90 | % 59.73/24.90 | From (736) and (227) follows: % 59.73/24.90 | (739) op(e4, e1) = e4 % 59.73/24.90 | % 59.73/24.90 | From (736) and (28) follows: % 59.73/24.90 | (740) op(e1, e1) = e1 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.73/24.90 | (425) e4 = e3 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e1, e4, e4, e0 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e0, yields: % 59.73/24.90 | (397) e4 = e0 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.73/24.90 | (662) e3 = e2 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 59.73/24.90 | (630) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (630,425) yields a new equation: % 59.73/24.90 | (455) e3 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (397,425) yields a new equation: % 59.73/24.90 | (676) e3 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (455,662) yields a new equation: % 59.73/24.90 | (617) e2 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (676,662) yields a new equation: % 59.73/24.90 | (330) e2 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (617,330) yields a new equation: % 59.73/24.90 | (546) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Simplifying 546 yields: % 59.73/24.90 | (431) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (431) can reduce 233 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (748) ~ (unit = e1) % 59.73/24.90 | (749) unit = e3 % 59.73/24.90 | % 59.73/24.90 | From (749) and (244) follows: % 59.73/24.90 | (750) op(e3, e4) = e4 % 59.73/24.90 | % 59.73/24.90 | From (749) and (209) follows: % 59.73/24.90 | (1667) op(e3, e0) = e0 % 59.73/24.90 | % 59.73/24.90 | From (749) and (28) follows: % 59.73/24.90 | (2235) op(e1, e3) = e1 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.73/24.90 | (323) e4 = e2 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 59.73/24.90 | (397) e4 = e0 % 59.73/24.90 | % 59.73/24.90 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 59.73/24.90 | (617) e2 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (323,397) yields a new equation: % 59.73/24.90 | (391) e2 = e0 % 59.73/24.90 | % 59.73/24.90 | Simplifying 391 yields: % 59.73/24.90 | (330) e2 = e0 % 59.73/24.90 | % 59.73/24.90 | Combining equations (330,617) yields a new equation: % 59.73/24.90 | (431) e1 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (431) can reduce 233 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (477) ~ (all_0_56_56 = e4) % 59.73/24.90 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (2246), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (1790) all_0_47_47 = e4 % 59.73/24.90 | % 59.73/24.90 | Combining equations (674,1790) yields a new equation: % 59.73/24.90 | (397) e4 = e0 % 59.73/24.90 | % 59.73/24.90 | Equations (397) can reduce 49 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (252) ~ (all_0_47_47 = e4) % 59.73/24.90 | (6548) all_0_51_51 = e4 | all_0_56_56 = e4 % 59.73/24.90 | % 59.73/24.90 +-Applying beta-rule and splitting (6548), into two cases. % 59.73/24.90 |-Branch one: % 59.73/24.90 | (1101) all_0_51_51 = e4 % 59.73/24.90 | % 59.73/24.90 | Combining equations (660,1101) yields a new equation: % 59.73/24.90 | (425) e4 = e3 % 59.73/24.90 | % 59.73/24.90 | Equations (425) can reduce 188 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (475) ~ (all_0_51_51 = e4) % 59.73/24.90 | (842) all_0_56_56 = e4 % 59.73/24.90 | % 59.73/24.90 | Equations (842) can reduce 477 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (780) ~ (all_0_52_52 = e4) % 59.73/24.90 | (1298) all_0_53_53 = e4 % 59.73/24.90 | % 59.73/24.90 | Combining equations (1208,1298) yields a new equation: % 59.73/24.90 | (630) e4 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (630) can reduce 110 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (1380) ~ (all_0_42_42 = e1) % 59.73/24.90 | (516) all_0_42_42 = e3 % 59.73/24.90 | % 59.73/24.90 | Equations (516) can reduce 405 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.90 |-Branch two: % 59.73/24.90 | (1459) ~ (all_0_53_53 = e1) % 59.73/24.90 | (918) all_0_58_58 = e1 % 59.73/24.90 | % 59.73/24.90 | Combining equations (918,624) yields a new equation: % 59.73/24.90 | (617) e2 = e1 % 59.73/24.90 | % 59.73/24.90 | Equations (617) can reduce 122 to: % 59.73/24.90 | (266) $false % 59.73/24.90 | % 59.73/24.90 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (1390) ~ (all_0_44_44 = e4) % 59.73/24.91 | (1391) all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (150), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (1378) all_0_40_40 = e4 % 59.73/24.91 | % 59.73/24.91 | Combining equations (1378,485) yields a new equation: % 59.73/24.91 | (481) e4 = e0 % 59.73/24.91 | % 59.73/24.91 | Simplifying 481 yields: % 59.73/24.91 | (397) e4 = e0 % 59.73/24.91 | % 59.73/24.91 | Equations (397) can reduce 49 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (447) ~ (all_0_40_40 = e4) % 59.73/24.91 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (1391), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (1414) all_0_44_44 = e0 % 59.73/24.91 | % 59.73/24.91 | Equations (1414) can reduce 360 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (360) ~ (all_0_44_44 = e0) % 59.73/24.91 | (1417) all_0_44_44 = e3 | all_0_44_44 = e1 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (1417), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (635) all_0_44_44 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (635) can reduce 73 to: % 59.73/24.91 | (1380) ~ (all_0_42_42 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (635) can reduce 220 to: % 59.73/24.91 | (1458) ~ (all_0_53_53 = e1) % 59.73/24.91 | % 59.73/24.91 | Simplifying 1458 yields: % 59.73/24.91 | (1459) ~ (all_0_53_53 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (635) can reduce 1390 to: % 59.73/24.91 | (602) ~ (e4 = e1) % 59.73/24.91 | % 59.73/24.91 | Simplifying 602 yields: % 59.73/24.91 | (110) ~ (e4 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (635) can reduce 407 to: % 59.73/24.91 | (467) ~ (e3 = e1) % 59.73/24.91 | % 59.73/24.91 | Simplifying 467 yields: % 59.73/24.91 | (213) ~ (e3 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (635) can reduce 147 to: % 59.73/24.91 | (604) ~ (e2 = e1) % 59.73/24.91 | % 59.73/24.91 | Simplifying 604 yields: % 59.73/24.91 | (122) ~ (e2 = e1) % 59.73/24.91 | % 59.73/24.91 | From (635) and (138) follows: % 59.73/24.91 | (1423) op(e3, e0) = e1 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (2271), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (446) all_0_44_44 = e4 % 59.73/24.91 | % 59.73/24.91 | Combining equations (446,635) yields a new equation: % 59.73/24.91 | (636) e4 = e1 % 59.73/24.91 | % 59.73/24.91 | Simplifying 636 yields: % 59.73/24.91 | (630) e4 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (630) can reduce 110 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (1390) ~ (all_0_44_44 = e4) % 59.73/24.91 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (152), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (1392) all_0_42_42 = e4 % 59.73/24.91 | % 59.73/24.91 | Equations (1392) can reduce 51 to: % 59.73/24.91 | (48) ~ (e4 = e2) % 59.73/24.91 | % 59.73/24.91 | Equations (1392) can reduce 1380 to: % 59.73/24.91 | (110) ~ (e4 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (1392) can reduce 358 to: % 59.73/24.91 | (49) ~ (e4 = e0) % 59.73/24.91 | % 59.73/24.91 | From (1392) and (210) follows: % 59.73/24.91 | (4074) op(e3, e2) = e4 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (160), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (601) all_0_50_50 = e1 % 59.73/24.91 | % 59.73/24.91 | Combining equations (378,601) yields a new equation: % 59.73/24.91 | (616) e2 = e1 % 59.73/24.91 | % 59.73/24.91 | Simplifying 616 yields: % 59.73/24.91 | (617) e2 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (617) can reduce 122 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (759) ~ (all_0_50_50 = e1) % 59.73/24.91 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (1168), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (1109) all_0_51_51 = e1 % 59.73/24.91 | % 59.73/24.91 | Combining equations (660,1109) yields a new equation: % 59.73/24.91 | (454) e3 = e1 % 59.73/24.91 | % 59.73/24.91 | Simplifying 454 yields: % 59.73/24.91 | (455) e3 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (455) can reduce 213 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (464) ~ (all_0_51_51 = e1) % 59.73/24.91 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (1202), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (642) all_0_52_52 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (642) can reduce 11 to: % 59.73/24.91 | (2437) ~ (all_0_57_57 = e1) % 59.73/24.91 | % 59.73/24.91 | Simplifying 2437 yields: % 59.73/24.91 | (1670) ~ (all_0_57_57 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (642) can reduce 342 to: % 59.73/24.91 | (604) ~ (e2 = e1) % 59.73/24.91 | % 59.73/24.91 | Simplifying 604 yields: % 59.73/24.91 | (122) ~ (e2 = e1) % 59.73/24.91 | % 59.73/24.91 | Equations (642) can reduce 72 to: % 59.73/24.91 | (233) ~ (e1 = e0) % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (12), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (442) all_0_57_57 = e2 % 59.73/24.91 | % 59.73/24.91 | Equations (442) can reduce 344 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (344) ~ (all_0_57_57 = e2) % 59.73/24.91 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (231), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (775) all_0_50_50 = e4 % 59.73/24.91 | % 59.73/24.91 | Combining equations (378,775) yields a new equation: % 59.73/24.91 | (323) e4 = e2 % 59.73/24.91 | % 59.73/24.91 | Equations (323) can reduce 48 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (566) ~ (all_0_50_50 = e4) % 59.73/24.91 | (1071) all_0_51_51 = e4 | all_0_52_52 = e4 | all_0_53_53 = e4 % 59.73/24.91 | % 59.73/24.91 | Equations (378) can reduce 566 to: % 59.73/24.91 | (327) ~ (e4 = e2) % 59.73/24.91 | % 59.73/24.91 | Simplifying 327 yields: % 59.73/24.91 | (48) ~ (e4 = e2) % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (230), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (396) all_0_43_43 = e4 % 59.73/24.91 | % 59.73/24.91 | Combining equations (356,396) yields a new equation: % 59.73/24.91 | (397) e4 = e0 % 59.73/24.91 | % 59.73/24.91 | Equations (397) can reduce 49 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (399) ~ (all_0_43_43 = e4) % 59.73/24.91 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (131), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (459) all_0_42_42 = e1 % 59.73/24.91 | % 59.73/24.91 | Combining equations (459,1392) yields a new equation: % 59.73/24.91 | (630) e4 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (630) can reduce 110 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (1380) ~ (all_0_42_42 = e1) % 59.73/24.91 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.73/24.91 | % 59.73/24.91 | Equations (1392) can reduce 1380 to: % 59.73/24.91 | (110) ~ (e4 = e1) % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (400), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (943) all_0_48_48 = e4 % 59.73/24.91 | % 59.73/24.91 | Combining equations (335,943) yields a new equation: % 59.73/24.91 | (323) e4 = e2 % 59.73/24.91 | % 59.73/24.91 | Equations (323) can reduce 48 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (254) ~ (all_0_48_48 = e4) % 59.73/24.91 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (216), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (629) all_0_55_55 = e1 % 59.73/24.91 | % 59.73/24.91 | Combining equations (858,629) yields a new equation: % 59.73/24.91 | (431) e1 = e0 % 59.73/24.91 | % 59.73/24.91 | Equations (431) can reduce 233 to: % 59.73/24.91 | (266) $false % 59.73/24.91 | % 59.73/24.91 |-The branch is then unsatisfiable % 59.73/24.91 |-Branch two: % 59.73/24.91 | (632) ~ (all_0_55_55 = e1) % 59.73/24.91 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.73/24.91 | % 59.73/24.91 +-Applying beta-rule and splitting (445), into two cases. % 59.73/24.91 |-Branch one: % 59.73/24.91 | (871) all_0_57_57 = e4 % 59.73/24.91 | % 59.73/24.91 | Equations (871) can reduce 1670 to: % 59.73/24.91 | (110) ~ (e4 = e1) % 59.73/24.91 | % 59.73/24.91 | From (871) and (83) follows: % 59.73/24.91 | (3109) op(e0, e1) = e4 % 59.73/24.91 | % 59.79/24.91 +-Applying beta-rule and splitting (633), into two cases. % 59.79/24.91 |-Branch one: % 59.79/24.91 | (1569) all_0_56_56 = e1 % 59.79/24.91 | % 59.79/24.91 | Equations (1569) can reduce 828 to: % 59.79/24.91 | (233) ~ (e1 = e0) % 59.79/24.91 | % 59.79/24.91 | From (1569) and (111) follows: % 59.79/24.91 | (3175) op(e0, e2) = e1 % 59.79/24.91 | % 59.79/24.91 +-Applying beta-rule and splitting (56), into two cases. % 59.79/24.91 |-Branch one: % 59.79/24.91 | (696) unit = e2 % 59.79/24.91 | % 59.79/24.91 | From (696) and (227) follows: % 59.79/24.91 | (4284) op(e4, e2) = e4 % 59.79/24.91 | % 59.79/24.91 | From (696) and (40) follows: % 59.79/24.91 | (4285) op(e3, e2) = e3 % 59.79/24.91 | % 59.79/24.91 | From (696) and (32) follows: % 59.79/24.91 | (698) op(e2, e2) = e2 % 59.79/24.91 | % 59.79/24.91 | From (696) and (28) follows: % 59.79/24.91 | (699) op(e1, e2) = e1 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.79/24.91 | (323) e4 = e2 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.79/24.91 | (425) e4 = e3 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 59.79/24.91 | (330) e2 = e0 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.79/24.91 | (455) e3 = e1 % 59.79/24.91 | % 59.79/24.91 | Combining equations (323,425) yields a new equation: % 59.79/24.91 | (662) e3 = e2 % 59.79/24.91 | % 59.79/24.91 | Combining equations (662,455) yields a new equation: % 59.79/24.91 | (616) e2 = e1 % 59.79/24.91 | % 59.79/24.91 | Simplifying 616 yields: % 59.79/24.91 | (617) e2 = e1 % 59.79/24.91 | % 59.79/24.91 | Combining equations (617,330) yields a new equation: % 59.79/24.91 | (546) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Simplifying 546 yields: % 59.79/24.91 | (431) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Equations (431) can reduce 233 to: % 59.79/24.91 | (266) $false % 59.79/24.91 | % 59.79/24.91 |-The branch is then unsatisfiable % 59.79/24.91 |-Branch two: % 59.79/24.91 | (707) ~ (unit = e2) % 59.79/24.91 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.79/24.91 | % 59.79/24.91 +-Applying beta-rule and splitting (708), into two cases. % 59.79/24.91 |-Branch one: % 59.79/24.91 | (709) unit = e4 % 59.79/24.91 | % 59.79/24.91 | From (709) and (24) follows: % 59.79/24.91 | (33325) op(e4, e3) = e3 % 59.79/24.91 | % 59.79/24.91 | From (709) and (227) follows: % 59.79/24.91 | (710) op(e4, e4) = e4 % 59.79/24.91 | % 59.79/24.91 | From (709) and (42) follows: % 59.79/24.91 | (713) op(e0, e4) = e0 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.79/24.91 | (630) e4 = e1 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.79/24.91 | (425) e4 = e3 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.79/24.91 | (676) e3 = e0 % 59.79/24.91 | % 59.79/24.91 | Combining equations (630,425) yields a new equation: % 59.79/24.91 | (455) e3 = e1 % 59.79/24.91 | % 59.79/24.91 | Combining equations (455,676) yields a new equation: % 59.79/24.91 | (546) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Simplifying 546 yields: % 59.79/24.91 | (431) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Equations (431) can reduce 233 to: % 59.79/24.91 | (266) $false % 59.79/24.91 | % 59.79/24.91 |-The branch is then unsatisfiable % 59.79/24.91 |-Branch two: % 59.79/24.91 | (724) ~ (unit = e4) % 59.79/24.91 | (725) unit = e3 | unit = e1 | unit = e0 % 59.79/24.91 | % 59.79/24.91 +-Applying beta-rule and splitting (725), into two cases. % 59.79/24.91 |-Branch one: % 59.79/24.91 | (726) unit = e0 % 59.79/24.91 | % 59.79/24.91 | From (726) and (244) follows: % 59.79/24.91 | (2207) op(e0, e4) = e4 % 59.79/24.91 | % 59.79/24.91 | From (726) and (15) follows: % 59.79/24.91 | (1508) op(e0, e2) = e2 % 59.79/24.91 | % 59.79/24.91 | From (726) and (227) follows: % 59.79/24.91 | (3205) op(e4, e0) = e4 % 59.79/24.91 | % 59.79/24.91 | From (726) and (32) follows: % 59.79/24.91 | (727) op(e2, e0) = e2 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 59.79/24.91 | (397) e4 = e0 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e2, e0, e2, e3 and discharging atoms op(e2, e0) = e3, op(e2, e0) = e2, yields: % 59.79/24.91 | (662) e3 = e2 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.79/24.91 | (425) e4 = e3 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 59.79/24.91 | (617) e2 = e1 % 59.79/24.91 | % 59.79/24.91 | Combining equations (397,425) yields a new equation: % 59.79/24.91 | (676) e3 = e0 % 59.79/24.91 | % 59.79/24.91 | Combining equations (662,676) yields a new equation: % 59.79/24.91 | (391) e2 = e0 % 59.79/24.91 | % 59.79/24.91 | Simplifying 391 yields: % 59.79/24.91 | (330) e2 = e0 % 59.79/24.91 | % 59.79/24.91 | Combining equations (617,330) yields a new equation: % 59.79/24.91 | (546) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Simplifying 546 yields: % 59.79/24.91 | (431) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Equations (431) can reduce 233 to: % 59.79/24.91 | (266) $false % 59.79/24.91 | % 59.79/24.91 |-The branch is then unsatisfiable % 59.79/24.91 |-Branch two: % 59.79/24.91 | (734) ~ (unit = e0) % 59.79/24.91 | (735) unit = e3 | unit = e1 % 59.79/24.91 | % 59.79/24.91 +-Applying beta-rule and splitting (735), into two cases. % 59.79/24.91 |-Branch one: % 59.79/24.91 | (736) unit = e1 % 59.79/24.91 | % 59.79/24.91 | From (736) and (15) follows: % 59.79/24.91 | (515) op(e1, e2) = e2 % 59.79/24.91 | % 59.79/24.91 | From (736) and (227) follows: % 59.79/24.91 | (739) op(e4, e1) = e4 % 59.79/24.91 | % 59.79/24.91 | From (736) and (42) follows: % 59.79/24.91 | (3221) op(e0, e1) = e0 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.79/24.91 | (425) e4 = e3 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.79/24.91 | (662) e3 = e2 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.79/24.91 | (397) e4 = e0 % 59.79/24.91 | % 59.79/24.91 | Combining equations (397,425) yields a new equation: % 59.79/24.91 | (676) e3 = e0 % 59.79/24.91 | % 59.79/24.91 | Combining equations (676,662) yields a new equation: % 59.79/24.91 | (330) e2 = e0 % 59.79/24.91 | % 59.79/24.91 | Equations (330) can reduce 128 to: % 59.79/24.91 | (266) $false % 59.79/24.91 | % 59.79/24.91 |-The branch is then unsatisfiable % 59.79/24.91 |-Branch two: % 59.79/24.91 | (748) ~ (unit = e1) % 59.79/24.91 | (749) unit = e3 % 59.79/24.91 | % 59.79/24.91 | From (749) and (209) follows: % 59.79/24.91 | (1667) op(e3, e0) = e0 % 59.79/24.91 | % 59.79/24.91 | Instantiating formula (29) with e3, e0, e0, e1 and discharging atoms op(e3, e0) = e1, op(e3, e0) = e0, yields: % 59.79/24.91 | (431) e1 = e0 % 59.79/24.91 | % 59.79/24.91 | Equations (431) can reduce 233 to: % 59.79/24.91 | (266) $false % 59.79/24.91 | % 59.79/24.91 |-The branch is then unsatisfiable % 59.79/24.91 |-Branch two: % 59.79/24.91 | (466) ~ (all_0_56_56 = e1) % 59.79/24.91 | (1574) all_0_57_57 = e1 | all_0_58_58 = e1 % 59.79/24.91 | % 59.79/24.91 +-Applying beta-rule and splitting (1574), into two cases. % 59.79/24.91 |-Branch one: % 59.79/24.91 | (647) all_0_57_57 = e1 % 59.79/24.91 | % 59.79/24.91 | Combining equations (871,647) yields a new equation: % 59.79/24.91 | (636) e4 = e1 % 59.79/24.91 | % 59.79/24.91 | Simplifying 636 yields: % 59.79/24.91 | (630) e4 = e1 % 59.79/24.91 | % 59.79/24.91 | Equations (630) can reduce 110 to: % 59.79/24.91 | (266) $false % 59.79/24.91 | % 59.79/24.91 |-The branch is then unsatisfiable % 59.79/24.91 |-Branch two: % 59.79/24.91 | (1670) ~ (all_0_57_57 = e1) % 59.79/24.91 | (918) all_0_58_58 = e1 % 59.79/24.91 | % 59.79/24.92 | Combining equations (918,624) yields a new equation: % 59.79/24.92 | (617) e2 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (617) can reduce 122 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (839) ~ (all_0_57_57 = e4) % 59.79/24.92 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (947), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (565) all_0_52_52 = e4 % 59.79/24.92 | % 59.79/24.92 | Combining equations (642,565) yields a new equation: % 59.79/24.92 | (630) e4 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (630) can reduce 110 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (780) ~ (all_0_52_52 = e4) % 59.79/24.92 | (871) all_0_57_57 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (871) can reduce 839 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (646) ~ (all_0_52_52 = e1) % 59.79/24.92 | (1208) all_0_53_53 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (1208) can reduce 1459 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (1890) ~ (all_0_42_42 = e4) % 59.79/24.92 | (1969) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (160), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (601) all_0_50_50 = e1 % 59.79/24.92 | % 59.79/24.92 | Combining equations (378,601) yields a new equation: % 59.79/24.92 | (616) e2 = e1 % 59.79/24.92 | % 59.79/24.92 | Simplifying 616 yields: % 59.79/24.92 | (617) e2 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (617) can reduce 122 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (759) ~ (all_0_50_50 = e1) % 59.79/24.92 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (7998), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (974) all_0_49_49 = e4 % 59.79/24.92 | % 59.79/24.92 | Combining equations (884,974) yields a new equation: % 59.79/24.92 | (425) e4 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (425) can reduce 188 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (256) ~ (all_0_49_49 = e4) % 59.79/24.92 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (884) can reduce 256 to: % 59.79/24.92 | (277) ~ (e4 = e3) % 59.79/24.92 | % 59.79/24.92 | Simplifying 277 yields: % 59.79/24.92 | (188) ~ (e4 = e3) % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1168), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (1109) all_0_51_51 = e1 % 59.79/24.92 | % 59.79/24.92 | Combining equations (660,1109) yields a new equation: % 59.79/24.92 | (454) e3 = e1 % 59.79/24.92 | % 59.79/24.92 | Simplifying 454 yields: % 59.79/24.92 | (455) e3 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (455) can reduce 213 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (464) ~ (all_0_51_51 = e1) % 59.79/24.92 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1202), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (642) all_0_52_52 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (642) can reduce 46 to: % 59.79/24.92 | (1458) ~ (all_0_53_53 = e1) % 59.79/24.92 | % 59.79/24.92 | Simplifying 1458 yields: % 59.79/24.92 | (1459) ~ (all_0_53_53 = e1) % 59.79/24.92 | % 59.79/24.92 | Equations (642) can reduce 166 to: % 59.79/24.92 | (467) ~ (e3 = e1) % 59.79/24.92 | % 59.79/24.92 | Simplifying 467 yields: % 59.79/24.92 | (213) ~ (e3 = e1) % 59.79/24.92 | % 59.79/24.92 | Equations (642) can reduce 72 to: % 59.79/24.92 | (233) ~ (e1 = e0) % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (216), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (629) all_0_55_55 = e1 % 59.79/24.92 | % 59.79/24.92 | Combining equations (858,629) yields a new equation: % 59.79/24.92 | (431) e1 = e0 % 59.79/24.92 | % 59.79/24.92 | Equations (431) can reduce 233 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (632) ~ (all_0_55_55 = e1) % 59.79/24.92 | (633) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (858) can reduce 632 to: % 59.79/24.92 | (435) ~ (e1 = e0) % 59.79/24.92 | % 59.79/24.92 | Simplifying 435 yields: % 59.79/24.92 | (233) ~ (e1 = e0) % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (196), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (607) all_0_53_53 = e2 % 59.79/24.92 | % 59.79/24.92 | Equations (607) can reduce 509 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (509) ~ (all_0_53_53 = e2) % 59.79/24.92 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (12), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (442) all_0_57_57 = e2 % 59.79/24.92 | % 59.79/24.92 | Equations (442) can reduce 344 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (344) ~ (all_0_57_57 = e2) % 59.79/24.92 | (445) all_0_57_57 = e4 | all_0_57_57 = e1 | all_0_57_57 = e0 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (131), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (459) all_0_42_42 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (459) can reduce 1380 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (1380) ~ (all_0_42_42 = e1) % 59.79/24.92 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (64), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (437) all_0_41_41 = e4 % 59.79/24.92 | % 59.79/24.92 | Combining equations (437,403) yields a new equation: % 59.79/24.92 | (424) e4 = e3 % 59.79/24.92 | % 59.79/24.92 | Simplifying 424 yields: % 59.79/24.92 | (425) e4 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (425) can reduce 188 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (440) ~ (all_0_41_41 = e4) % 59.79/24.92 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (3259), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (654) all_0_47_47 = e1 % 59.79/24.92 | % 59.79/24.92 | Combining equations (654,674) yields a new equation: % 59.79/24.92 | (546) e1 = e0 % 59.79/24.92 | % 59.79/24.92 | Simplifying 546 yields: % 59.79/24.92 | (431) e1 = e0 % 59.79/24.92 | % 59.79/24.92 | Equations (431) can reduce 233 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (462) ~ (all_0_47_47 = e1) % 59.79/24.92 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (3264), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (1109) all_0_51_51 = e1 % 59.79/24.92 | % 59.79/24.92 | Combining equations (660,1109) yields a new equation: % 59.79/24.92 | (454) e3 = e1 % 59.79/24.92 | % 59.79/24.92 | Simplifying 454 yields: % 59.79/24.92 | (455) e3 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (455) can reduce 213 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (464) ~ (all_0_51_51 = e1) % 59.79/24.92 | (1569) all_0_56_56 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (1569) can reduce 140 to: % 59.79/24.92 | (2437) ~ (all_0_57_57 = e1) % 59.79/24.92 | % 59.79/24.92 | Simplifying 2437 yields: % 59.79/24.92 | (1670) ~ (all_0_57_57 = e1) % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (610), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (1298) all_0_53_53 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (1298) can reduce 1459 to: % 59.79/24.92 | (110) ~ (e4 = e1) % 59.79/24.92 | % 59.79/24.92 | Equations (1298) can reduce 247 to: % 59.79/24.92 | (49) ~ (e4 = e0) % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (441), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (1392) all_0_42_42 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (1392) can reduce 1890 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (1890) ~ (all_0_42_42 = e4) % 59.79/24.92 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1891), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (396) all_0_43_43 = e4 % 59.79/24.92 | % 59.79/24.92 | Combining equations (396,356) yields a new equation: % 59.79/24.92 | (481) e4 = e0 % 59.79/24.92 | % 59.79/24.92 | Simplifying 481 yields: % 59.79/24.92 | (397) e4 = e0 % 59.79/24.92 | % 59.79/24.92 | Equations (397) can reduce 49 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (399) ~ (all_0_43_43 = e4) % 59.79/24.92 | (446) all_0_44_44 = e4 % 59.79/24.92 | % 59.79/24.92 | Combining equations (635,446) yields a new equation: % 59.79/24.92 | (630) e4 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (630) can reduce 110 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (1453) ~ (all_0_53_53 = e4) % 59.79/24.92 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (445), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (871) all_0_57_57 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (871) can reduce 344 to: % 59.79/24.92 | (48) ~ (e4 = e2) % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (8013), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (1298) all_0_53_53 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (1298) can reduce 1453 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (1453) ~ (all_0_53_53 = e4) % 59.79/24.92 | (910) all_0_58_58 = e4 % 59.79/24.92 | % 59.79/24.92 | Combining equations (910,624) yields a new equation: % 59.79/24.92 | (322) e4 = e2 % 59.79/24.92 | % 59.79/24.92 | Simplifying 322 yields: % 59.79/24.92 | (323) e4 = e2 % 59.79/24.92 | % 59.79/24.92 | Equations (323) can reduce 48 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (839) ~ (all_0_57_57 = e4) % 59.79/24.92 | (874) all_0_57_57 = e1 | all_0_57_57 = e0 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (874), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (875) all_0_57_57 = e0 % 59.79/24.92 | % 59.79/24.92 | Equations (875) can reduce 364 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (364) ~ (all_0_57_57 = e0) % 59.79/24.92 | (647) all_0_57_57 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (647) can reduce 1670 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (646) ~ (all_0_52_52 = e1) % 59.79/24.92 | (1208) all_0_53_53 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (1208) can reduce 1459 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (639) ~ (all_0_44_44 = e1) % 59.79/24.92 | (532) all_0_44_44 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (532) can reduce 407 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (549) ~ (all_0_46_46 = e1) % 59.79/24.92 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (595), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (545) all_0_46_46 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (545) can reduce 549 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (549) ~ (all_0_46_46 = e1) % 59.79/24.92 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1797), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (770) all_0_46_46 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (770) can reduce 250 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (250) ~ (all_0_46_46 = e4) % 59.79/24.92 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1801), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (538) all_0_46_46 = e0 % 59.79/24.92 | % 59.79/24.92 | Equations (538) can reduce 831 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (831) ~ (all_0_46_46 = e0) % 59.79/24.92 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1838), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (545) all_0_46_46 = e1 % 59.79/24.92 | % 59.79/24.92 | Equations (545) can reduce 549 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (549) ~ (all_0_46_46 = e1) % 59.79/24.92 | (1557) all_0_46_46 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (1557) can reduce 409 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (525) ~ (all_0_49_49 = e3) % 59.79/24.92 | (887) all_0_53_53 = e3 | all_0_58_58 = e3 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (887), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (665) all_0_53_53 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (665) can reduce 903 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (903) ~ (all_0_53_53 = e3) % 59.79/24.92 | (795) all_0_58_58 = e3 % 59.79/24.92 | % 59.79/24.92 | Combining equations (624,795) yields a new equation: % 59.79/24.92 | (662) e3 = e2 % 59.79/24.92 | % 59.79/24.92 | Equations (662) can reduce 212 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (1898) ~ (all_0_41_41 = e3) % 59.79/24.92 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (27), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (437) all_0_41_41 = e4 % 59.79/24.92 | % 59.79/24.92 | Equations (437) can reduce 440 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (440) ~ (all_0_41_41 = e4) % 59.79/24.92 | (4049) all_0_41_41 = e3 | all_0_41_41 = e1 | all_0_41_41 = e0 % 59.79/24.92 | % 59.79/24.92 +-Applying beta-rule and splitting (1899), into two cases. % 59.79/24.92 |-Branch one: % 59.79/24.92 | (516) all_0_42_42 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (516) can reduce 405 to: % 59.79/24.92 | (266) $false % 59.79/24.92 | % 59.79/24.92 |-The branch is then unsatisfiable % 59.79/24.92 |-Branch two: % 59.79/24.92 | (405) ~ (all_0_42_42 = e3) % 59.79/24.92 | (532) all_0_44_44 = e3 % 59.79/24.92 | % 59.79/24.92 | Equations (532) can reduce 73 to: % 59.79/24.92 | (405) ~ (all_0_42_42 = e3) % 59.79/24.92 | % 59.79/24.92 | Equations (532) can reduce 9 to: % 59.79/24.92 | (524) ~ (all_0_49_49 = e3) % 59.79/24.92 | % 59.79/24.92 | Simplifying 524 yields: % 59.79/24.92 | (525) ~ (all_0_49_49 = e3) % 59.79/24.92 | % 59.79/24.92 | Equations (532) can reduce 220 to: % 59.79/24.92 | (1114) ~ (all_0_53_53 = e3) % 59.79/24.92 | % 59.79/24.92 | Simplifying 1114 yields: % 59.79/24.92 | (903) ~ (all_0_53_53 = e3) % 59.79/24.92 | % 59.79/24.92 | Equations (532) can reduce 360 to: % 59.79/24.92 | (80) ~ (e3 = e0) % 59.79/24.92 | % 59.79/24.92 | From (532) and (138) follows: % 59.79/24.92 | (1639) op(e3, e0) = e3 % 59.79/24.92 | % 59.79/24.93 +-Applying beta-rule and splitting (4049), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (794) all_0_41_41 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (794) can reduce 357 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (357) ~ (all_0_41_41 = e0) % 59.79/24.93 | (4053) all_0_41_41 = e3 | all_0_41_41 = e1 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (64), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (437) all_0_41_41 = e4 % 59.79/24.93 | % 59.79/24.93 | Equations (437) can reduce 440 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (440) ~ (all_0_41_41 = e4) % 59.79/24.93 | (441) all_0_42_42 = e4 | all_0_43_43 = e4 | all_0_44_44 = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (150), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (1378) all_0_40_40 = e4 % 59.79/24.93 | % 59.79/24.93 | Combining equations (1378,485) yields a new equation: % 59.79/24.93 | (481) e4 = e0 % 59.79/24.93 | % 59.79/24.93 | Simplifying 481 yields: % 59.79/24.93 | (397) e4 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (397) can reduce 49 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (447) ~ (all_0_40_40 = e4) % 59.79/24.93 | (2271) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.79/24.93 | % 59.79/24.93 | Equations (485) can reduce 447 to: % 59.79/24.93 | (401) ~ (e4 = e0) % 59.79/24.93 | % 59.79/24.93 | Simplifying 401 yields: % 59.79/24.93 | (49) ~ (e4 = e0) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (441), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (1392) all_0_42_42 = e4 % 59.79/24.93 | % 59.79/24.93 | Equations (1392) can reduce 214 to: % 59.79/24.93 | (440) ~ (all_0_41_41 = e4) % 59.79/24.93 | % 59.79/24.93 | Equations (1392) can reduce 236 to: % 59.79/24.93 | (476) ~ (all_0_56_56 = e4) % 59.79/24.93 | % 59.79/24.93 | Simplifying 476 yields: % 59.79/24.93 | (477) ~ (all_0_56_56 = e4) % 59.79/24.93 | % 59.79/24.93 | Equations (1392) can reduce 405 to: % 59.79/24.93 | (188) ~ (e4 = e3) % 59.79/24.93 | % 59.79/24.93 | Equations (1392) can reduce 51 to: % 59.79/24.93 | (48) ~ (e4 = e2) % 59.79/24.93 | % 59.79/24.93 | From (1392) and (210) follows: % 59.79/24.93 | (4074) op(e3, e2) = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (2271), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (446) all_0_44_44 = e4 % 59.79/24.93 | % 59.79/24.93 | Combining equations (446,532) yields a new equation: % 59.79/24.93 | (424) e4 = e3 % 59.79/24.93 | % 59.79/24.93 | Simplifying 424 yields: % 59.79/24.93 | (425) e4 = e3 % 59.79/24.93 | % 59.79/24.93 | Equations (425) can reduce 188 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (1390) ~ (all_0_44_44 = e4) % 59.79/24.93 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (7998), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (974) all_0_49_49 = e4 % 59.79/24.93 | % 59.79/24.93 | Equations (974) can reduce 256 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (256) ~ (all_0_49_49 = e4) % 59.79/24.93 | (8013) all_0_53_53 = e4 | all_0_58_58 = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (8013), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (1298) all_0_53_53 = e4 % 59.79/24.93 | % 59.79/24.93 | Equations (1298) can reduce 46 to: % 59.79/24.93 | (780) ~ (all_0_52_52 = e4) % 59.79/24.93 | % 59.79/24.93 | Equations (1298) can reduce 903 to: % 59.79/24.93 | (188) ~ (e4 = e3) % 59.79/24.93 | % 59.79/24.93 | Equations (1298) can reduce 509 to: % 59.79/24.93 | (48) ~ (e4 = e2) % 59.79/24.93 | % 59.79/24.93 | Equations (1298) can reduce 247 to: % 59.79/24.93 | (49) ~ (e4 = e0) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (160), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (601) all_0_50_50 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (601,378) yields a new equation: % 59.79/24.93 | (617) e2 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (617) can reduce 122 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (759) ~ (all_0_50_50 = e1) % 59.79/24.93 | (1168) all_0_51_51 = e1 | all_0_52_52 = e1 | all_0_53_53 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (378) can reduce 759 to: % 59.79/24.93 | (122) ~ (e2 = e1) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (78), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (423) all_0_45_45 = e3 % 59.79/24.93 | % 59.79/24.93 | Combining equations (423,248) yields a new equation: % 59.79/24.93 | (425) e4 = e3 % 59.79/24.93 | % 59.79/24.93 | Equations (425) can reduce 188 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (427) ~ (all_0_45_45 = e3) % 59.79/24.93 | (428) all_0_46_46 = e3 | all_0_47_47 = e3 | all_0_49_49 = e3 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (428), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (1557) all_0_46_46 = e3 % 59.79/24.93 | % 59.79/24.93 | Equations (1557) can reduce 43 to: % 59.79/24.93 | (1898) ~ (all_0_41_41 = e3) % 59.79/24.93 | % 59.79/24.93 | From (1557) and (120) follows: % 59.79/24.93 | (697) op(e2, e3) = e3 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (18), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (453) all_0_41_41 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (453) can reduce 440 to: % 59.79/24.93 | (602) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | Simplifying 602 yields: % 59.79/24.93 | (110) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | Equations (453) can reduce 1898 to: % 59.79/24.93 | (467) ~ (e3 = e1) % 59.79/24.93 | % 59.79/24.93 | Simplifying 467 yields: % 59.79/24.93 | (213) ~ (e3 = e1) % 59.79/24.93 | % 59.79/24.93 | Equations (453) can reduce 357 to: % 59.79/24.93 | (233) ~ (e1 = e0) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (135), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (545) all_0_46_46 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (1557,545) yields a new equation: % 59.79/24.93 | (454) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Simplifying 454 yields: % 59.79/24.93 | (455) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (455) can reduce 213 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (549) ~ (all_0_46_46 = e1) % 59.79/24.93 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (1557) can reduce 549 to: % 59.79/24.93 | (213) ~ (e3 = e1) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (230), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (396) all_0_43_43 = e4 % 59.79/24.93 | % 59.79/24.93 | Combining equations (356,396) yields a new equation: % 59.79/24.93 | (397) e4 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (397) can reduce 49 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (399) ~ (all_0_43_43 = e4) % 59.79/24.93 | (400) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_57_57 = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (131), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (459) all_0_42_42 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (459,1392) yields a new equation: % 59.79/24.93 | (630) e4 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (630) can reduce 110 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (1380) ~ (all_0_42_42 = e1) % 59.79/24.93 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (3259), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (654) all_0_47_47 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (674,654) yields a new equation: % 59.79/24.93 | (431) e1 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (431) can reduce 233 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (462) ~ (all_0_47_47 = e1) % 59.79/24.93 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (1168), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (1109) all_0_51_51 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (660,1109) yields a new equation: % 59.79/24.93 | (454) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Simplifying 454 yields: % 59.79/24.93 | (455) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (455) can reduce 213 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (464) ~ (all_0_51_51 = e1) % 59.79/24.93 | (1202) all_0_52_52 = e1 | all_0_53_53 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (660) can reduce 464 to: % 59.79/24.93 | (213) ~ (e3 = e1) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (112), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (635) all_0_44_44 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (532,635) yields a new equation: % 59.79/24.93 | (454) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Simplifying 454 yields: % 59.79/24.93 | (455) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (455) can reduce 213 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (639) ~ (all_0_44_44 = e1) % 59.79/24.93 | (640) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_58_58 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (532) can reduce 639 to: % 59.79/24.93 | (213) ~ (e3 = e1) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (3264), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (1109) all_0_51_51 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (660,1109) yields a new equation: % 59.79/24.93 | (454) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Simplifying 454 yields: % 59.79/24.93 | (455) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (455) can reduce 213 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (464) ~ (all_0_51_51 = e1) % 59.79/24.93 | (1569) all_0_56_56 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (1569) can reduce 477 to: % 59.79/24.93 | (602) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | Simplifying 602 yields: % 59.79/24.93 | (110) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | From (1569) and (111) follows: % 59.79/24.93 | (3175) op(e0, e2) = e1 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (1202), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (642) all_0_52_52 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (642) can reduce 11 to: % 59.79/24.93 | (2437) ~ (all_0_57_57 = e1) % 59.79/24.93 | % 59.79/24.93 | Simplifying 2437 yields: % 59.79/24.93 | (1670) ~ (all_0_57_57 = e1) % 59.79/24.93 | % 59.79/24.93 | Equations (642) can reduce 780 to: % 59.79/24.93 | (602) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | Simplifying 602 yields: % 59.79/24.93 | (110) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | Equations (642) can reduce 342 to: % 59.79/24.93 | (604) ~ (e2 = e1) % 59.79/24.93 | % 59.79/24.93 | Simplifying 604 yields: % 59.79/24.93 | (122) ~ (e2 = e1) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (400), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (943) all_0_48_48 = e4 % 59.79/24.93 | % 59.79/24.93 | Combining equations (335,943) yields a new equation: % 59.79/24.93 | (323) e4 = e2 % 59.79/24.93 | % 59.79/24.93 | Equations (323) can reduce 48 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (254) ~ (all_0_48_48 = e4) % 59.79/24.93 | (947) all_0_52_52 = e4 | all_0_57_57 = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (947), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (565) all_0_52_52 = e4 % 59.79/24.93 | % 59.79/24.93 | Combining equations (642,565) yields a new equation: % 59.79/24.93 | (630) e4 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (630) can reduce 110 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (780) ~ (all_0_52_52 = e4) % 59.79/24.93 | (871) all_0_57_57 = e4 % 59.79/24.93 | % 59.79/24.93 | Equations (871) can reduce 1670 to: % 59.79/24.93 | (110) ~ (e4 = e1) % 59.79/24.93 | % 59.79/24.93 | From (871) and (83) follows: % 59.79/24.93 | (3109) op(e0, e1) = e4 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (640), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (671) all_0_49_49 = e1 % 59.79/24.93 | % 59.79/24.93 | Equations (671) can reduce 487 to: % 59.79/24.93 | (233) ~ (e1 = e0) % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (56), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (696) unit = e2 % 59.79/24.93 | % 59.79/24.93 | From (696) and (227) follows: % 59.79/24.93 | (4284) op(e4, e2) = e4 % 59.79/24.93 | % 59.79/24.93 | From (696) and (40) follows: % 59.79/24.93 | (4285) op(e3, e2) = e3 % 59.79/24.93 | % 59.79/24.93 | From (696) and (32) follows: % 59.79/24.93 | (698) op(e2, e2) = e2 % 59.79/24.93 | % 59.79/24.93 | From (696) and (28) follows: % 59.79/24.93 | (699) op(e1, e2) = e1 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.79/24.93 | (323) e4 = e2 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 59.79/24.93 | (425) e4 = e3 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e2, e2, e2, e0 and discharging atoms op(e2, e2) = e2, op(e2, e2) = e0, yields: % 59.79/24.93 | (330) e2 = e0 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields: % 59.79/24.93 | (455) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (323,425) yields a new equation: % 59.79/24.93 | (662) e3 = e2 % 59.79/24.93 | % 59.79/24.93 | Combining equations (662,455) yields a new equation: % 59.79/24.93 | (616) e2 = e1 % 59.79/24.93 | % 59.79/24.93 | Simplifying 616 yields: % 59.79/24.93 | (617) e2 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (330,617) yields a new equation: % 59.79/24.93 | (431) e1 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (431) can reduce 233 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (707) ~ (unit = e2) % 59.79/24.93 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (708), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (709) unit = e4 % 59.79/24.93 | % 59.79/24.93 | From (709) and (24) follows: % 59.79/24.93 | (33325) op(e4, e3) = e3 % 59.79/24.93 | % 59.79/24.93 | From (709) and (227) follows: % 59.79/24.93 | (710) op(e4, e4) = e4 % 59.79/24.93 | % 59.79/24.93 | From (709) and (42) follows: % 59.79/24.93 | (713) op(e0, e4) = e0 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.79/24.93 | (630) e4 = e1 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.79/24.93 | (425) e4 = e3 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.79/24.93 | (676) e3 = e0 % 59.79/24.93 | % 59.79/24.93 | Combining equations (630,425) yields a new equation: % 59.79/24.93 | (455) e3 = e1 % 59.79/24.93 | % 59.79/24.93 | Combining equations (455,676) yields a new equation: % 59.79/24.93 | (546) e1 = e0 % 59.79/24.93 | % 59.79/24.93 | Simplifying 546 yields: % 59.79/24.93 | (431) e1 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (431) can reduce 233 to: % 59.79/24.93 | (266) $false % 59.79/24.93 | % 59.79/24.93 |-The branch is then unsatisfiable % 59.79/24.93 |-Branch two: % 59.79/24.93 | (724) ~ (unit = e4) % 59.79/24.93 | (725) unit = e3 | unit = e1 | unit = e0 % 59.79/24.93 | % 59.79/24.93 +-Applying beta-rule and splitting (725), into two cases. % 59.79/24.93 |-Branch one: % 59.79/24.93 | (726) unit = e0 % 59.79/24.93 | % 59.79/24.93 | From (726) and (15) follows: % 59.79/24.93 | (1508) op(e0, e2) = e2 % 59.79/24.93 | % 59.79/24.93 | From (726) and (42) follows: % 59.79/24.93 | (728) op(e0, e0) = e0 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e0, e2, e2, e1 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e1, yields: % 59.79/24.93 | (617) e2 = e1 % 59.79/24.93 | % 59.79/24.93 | Instantiating formula (29) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields: % 59.79/24.93 | (330) e2 = e0 % 59.79/24.93 | % 59.79/24.93 | Combining equations (617,330) yields a new equation: % 59.79/24.93 | (546) e1 = e0 % 59.79/24.93 | % 59.79/24.93 | Simplifying 546 yields: % 59.79/24.93 | (431) e1 = e0 % 59.79/24.93 | % 59.79/24.93 | Equations (431) can reduce 233 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (734) ~ (unit = e0) % 59.79/24.94 | (735) unit = e3 | unit = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (735), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (736) unit = e1 % 59.79/24.94 | % 59.79/24.94 | From (736) and (15) follows: % 59.79/24.94 | (515) op(e1, e2) = e2 % 59.79/24.94 | % 59.79/24.94 | From (736) and (227) follows: % 59.79/24.94 | (739) op(e4, e1) = e4 % 59.79/24.94 | % 59.79/24.94 | From (736) and (42) follows: % 59.79/24.94 | (3221) op(e0, e1) = e0 % 59.79/24.94 | % 59.79/24.94 | Instantiating formula (29) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 59.79/24.94 | (425) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.79/24.94 | (662) e3 = e2 % 59.79/24.94 | % 59.79/24.94 | Instantiating formula (29) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields: % 59.79/24.94 | (397) e4 = e0 % 59.79/24.94 | % 59.79/24.94 | Combining equations (397,425) yields a new equation: % 59.79/24.94 | (676) e3 = e0 % 59.79/24.94 | % 59.79/24.94 | Combining equations (676,662) yields a new equation: % 59.79/24.94 | (330) e2 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (330) can reduce 128 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (748) ~ (unit = e1) % 59.79/24.94 | (749) unit = e3 % 59.79/24.94 | % 59.79/24.94 | From (749) and (209) follows: % 59.79/24.94 | (1667) op(e3, e0) = e0 % 59.79/24.94 | % 59.79/24.94 | From (749) and (32) follows: % 59.79/24.94 | (5793) op(e2, e3) = e2 % 59.79/24.94 | % 59.79/24.94 | From (749) and (28) follows: % 59.79/24.94 | (2235) op(e1, e3) = e1 % 59.79/24.94 | % 59.79/24.94 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.79/24.94 | (676) e3 = e0 % 59.79/24.94 | % 59.79/24.94 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.79/24.94 | (662) e3 = e2 % 59.79/24.94 | % 59.79/24.94 | Instantiating formula (29) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 59.79/24.94 | (617) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (662,676) yields a new equation: % 59.79/24.94 | (391) e2 = e0 % 59.79/24.94 | % 59.79/24.94 | Simplifying 391 yields: % 59.79/24.94 | (330) e2 = e0 % 59.79/24.94 | % 59.79/24.94 | Combining equations (330,617) yields a new equation: % 59.79/24.94 | (431) e1 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (431) can reduce 233 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1064) ~ (all_0_49_49 = e1) % 59.79/24.94 | (2141) all_0_53_53 = e1 | all_0_58_58 = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (2141), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (1208) all_0_53_53 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (1298,1208) yields a new equation: % 59.79/24.94 | (636) e4 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 636 yields: % 59.79/24.94 | (630) e4 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (630) can reduce 110 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1459) ~ (all_0_53_53 = e1) % 59.79/24.94 | (918) all_0_58_58 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (918,624) yields a new equation: % 59.79/24.94 | (617) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (617) can reduce 122 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (646) ~ (all_0_52_52 = e1) % 59.79/24.94 | (1208) all_0_53_53 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (1298,1208) yields a new equation: % 59.79/24.94 | (636) e4 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 636 yields: % 59.79/24.94 | (630) e4 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (630) can reduce 110 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (457) ~ (all_0_41_41 = e1) % 59.79/24.94 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (135), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (545) all_0_46_46 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (1557,545) yields a new equation: % 59.79/24.94 | (454) e3 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 454 yields: % 59.79/24.94 | (455) e3 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (455) can reduce 213 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (549) ~ (all_0_46_46 = e1) % 59.79/24.94 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (1557) can reduce 549 to: % 59.79/24.94 | (213) ~ (e3 = e1) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (595), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (545) all_0_46_46 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (1557,545) yields a new equation: % 59.79/24.94 | (454) e3 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 454 yields: % 59.79/24.94 | (455) e3 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (455) can reduce 213 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (549) ~ (all_0_46_46 = e1) % 59.79/24.94 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (600), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (601) all_0_50_50 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (378,601) yields a new equation: % 59.79/24.94 | (616) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 616 yields: % 59.79/24.94 | (617) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (617) can reduce 122 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (759) ~ (all_0_50_50 = e1) % 59.79/24.94 | (629) all_0_55_55 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (858,629) yields a new equation: % 59.79/24.94 | (431) e1 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (431) can reduce 233 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (409) ~ (all_0_46_46 = e3) % 59.79/24.94 | (1561) all_0_47_47 = e3 | all_0_49_49 = e3 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (1561), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (522) all_0_47_47 = e3 % 59.79/24.94 | % 59.79/24.94 | Combining equations (674,522) yields a new equation: % 59.79/24.94 | (676) e3 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (676) can reduce 80 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1091) ~ (all_0_47_47 = e3) % 59.79/24.94 | (884) all_0_49_49 = e3 % 59.79/24.94 | % 59.79/24.94 | Equations (884) can reduce 525 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1453) ~ (all_0_53_53 = e4) % 59.79/24.94 | (910) all_0_58_58 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (910,624) yields a new equation: % 59.79/24.94 | (322) e4 = e2 % 59.79/24.94 | % 59.79/24.94 | Simplifying 322 yields: % 59.79/24.94 | (323) e4 = e2 % 59.79/24.94 | % 59.79/24.94 | Equations (323) can reduce 48 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1890) ~ (all_0_42_42 = e4) % 59.79/24.94 | (1891) all_0_43_43 = e4 | all_0_44_44 = e4 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (2271), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (446) all_0_44_44 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (446,532) yields a new equation: % 59.79/24.94 | (424) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Simplifying 424 yields: % 59.79/24.94 | (425) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Equations (425) can reduce 188 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1390) ~ (all_0_44_44 = e4) % 59.79/24.94 | (7998) all_0_49_49 = e4 | all_0_53_53 = e4 | all_0_58_58 = e4 % 59.79/24.94 | % 59.79/24.94 | Equations (532) can reduce 1390 to: % 59.79/24.94 | (277) ~ (e4 = e3) % 59.79/24.94 | % 59.79/24.94 | Simplifying 277 yields: % 59.79/24.94 | (188) ~ (e4 = e3) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (1891), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (396) all_0_43_43 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (396,356) yields a new equation: % 59.79/24.94 | (481) e4 = e0 % 59.79/24.94 | % 59.79/24.94 | Simplifying 481 yields: % 59.79/24.94 | (397) e4 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (397) can reduce 49 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (399) ~ (all_0_43_43 = e4) % 59.79/24.94 | (446) all_0_44_44 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (446,532) yields a new equation: % 59.79/24.94 | (424) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Simplifying 424 yields: % 59.79/24.94 | (425) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Equations (425) can reduce 188 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (664) ~ (all_0_51_51 = e3) % 59.79/24.94 | (1097) all_0_56_56 = e3 % 59.79/24.94 | % 59.79/24.94 | Equations (1097) can reduce 272 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (678) ~ (all_0_47_47 = e0) % 59.79/24.94 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (1278), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (1279) all_0_48_48 = e0 % 59.79/24.94 | % 59.79/24.94 | Combining equations (335,1279) yields a new equation: % 59.79/24.94 | (391) e2 = e0 % 59.79/24.94 | % 59.79/24.94 | Simplifying 391 yields: % 59.79/24.94 | (330) e2 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (330) can reduce 128 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (1283) ~ (all_0_48_48 = e0) % 59.79/24.94 | (978) all_0_49_49 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (978) can reduce 487 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (803) ~ (all_0_55_55 = e0) % 59.79/24.94 | (863) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_58_58 = e0 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (863), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (679) all_0_56_56 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (679) can reduce 91 to: % 59.79/24.94 | (678) ~ (all_0_47_47 = e0) % 59.79/24.94 | % 59.79/24.94 | Equations (679) can reduce 272 to: % 59.79/24.94 | (541) ~ (e3 = e0) % 59.79/24.94 | % 59.79/24.94 | Simplifying 541 yields: % 59.79/24.94 | (80) ~ (e3 = e0) % 59.79/24.94 | % 59.79/24.94 | Equations (679) can reduce 511 to: % 59.79/24.94 | (365) ~ (e2 = e0) % 59.79/24.94 | % 59.79/24.94 | Simplifying 365 yields: % 59.79/24.94 | (128) ~ (e2 = e0) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (171), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (265) all_0_54_54 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (265,268) yields a new equation: % 59.79/24.94 | (424) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Simplifying 424 yields: % 59.79/24.94 | (425) e4 = e3 % 59.79/24.94 | % 59.79/24.94 | Equations (425) can reduce 188 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (258) ~ (all_0_54_54 = e4) % 59.79/24.94 | (575) all_0_55_55 = e4 | all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (184), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (538) all_0_46_46 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (538) can reduce 19 to: % 59.79/24.94 | (1402) ~ (all_0_47_47 = e0) % 59.79/24.94 | % 59.79/24.94 | Simplifying 1402 yields: % 59.79/24.94 | (678) ~ (all_0_47_47 = e0) % 59.79/24.94 | % 59.79/24.94 | Equations (538) can reduce 250 to: % 59.79/24.94 | (401) ~ (e4 = e0) % 59.79/24.94 | % 59.79/24.94 | Simplifying 401 yields: % 59.79/24.94 | (49) ~ (e4 = e0) % 59.79/24.94 | % 59.79/24.94 | Equations (538) can reduce 300 to: % 59.79/24.94 | (365) ~ (e2 = e0) % 59.79/24.94 | % 59.79/24.94 | Simplifying 365 yields: % 59.79/24.94 | (128) ~ (e2 = e0) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (144), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (403) all_0_41_41 = e3 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (18), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (453) all_0_41_41 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (453,403) yields a new equation: % 59.79/24.94 | (455) e3 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (455) can reduce 213 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (457) ~ (all_0_41_41 = e1) % 59.79/24.94 | (595) all_0_46_46 = e1 | all_0_50_50 = e1 | all_0_55_55 = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (575), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (587) all_0_55_55 = e4 % 59.79/24.94 | % 59.79/24.94 | Equations (587) can reduce 763 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (763) ~ (all_0_55_55 = e4) % 59.79/24.94 | (764) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (595), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (545) all_0_46_46 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (538,545) yields a new equation: % 59.79/24.94 | (431) e1 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (431) can reduce 233 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (549) ~ (all_0_46_46 = e1) % 59.79/24.94 | (600) all_0_50_50 = e1 | all_0_55_55 = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (764), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (842) all_0_56_56 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (842,679) yields a new equation: % 59.79/24.94 | (481) e4 = e0 % 59.79/24.94 | % 59.79/24.94 | Simplifying 481 yields: % 59.79/24.94 | (397) e4 = e0 % 59.79/24.94 | % 59.79/24.94 | Equations (397) can reduce 49 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (477) ~ (all_0_56_56 = e4) % 59.79/24.94 | (935) all_0_57_57 = e4 | all_0_58_58 = e4 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (935), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (871) all_0_57_57 = e4 % 59.79/24.94 | % 59.79/24.94 | Equations (871) can reduce 11 to: % 59.79/24.94 | (780) ~ (all_0_52_52 = e4) % 59.79/24.94 | % 59.79/24.94 | Equations (871) can reduce 81 to: % 59.79/24.94 | (763) ~ (all_0_55_55 = e4) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (600), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (601) all_0_50_50 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (378,601) yields a new equation: % 59.79/24.94 | (616) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 616 yields: % 59.79/24.94 | (617) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (617) can reduce 122 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (759) ~ (all_0_50_50 = e1) % 59.79/24.94 | (629) all_0_55_55 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (629) can reduce 763 to: % 59.79/24.94 | (602) ~ (e4 = e1) % 59.79/24.94 | % 59.79/24.94 | Simplifying 602 yields: % 59.79/24.94 | (110) ~ (e4 = e1) % 59.79/24.94 | % 59.79/24.94 | Equations (629) can reduce 304 to: % 59.79/24.94 | (604) ~ (e2 = e1) % 59.79/24.94 | % 59.79/24.94 | Simplifying 604 yields: % 59.79/24.94 | (122) ~ (e2 = e1) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (434), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (615) all_0_48_48 = e1 % 59.79/24.94 | % 59.79/24.94 | Combining equations (335,615) yields a new equation: % 59.79/24.94 | (616) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 616 yields: % 59.79/24.94 | (617) e2 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (617) can reduce 122 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (619) ~ (all_0_48_48 = e1) % 59.79/24.94 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (620), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (642) all_0_52_52 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (642) can reduce 780 to: % 59.79/24.94 | (602) ~ (e4 = e1) % 59.79/24.94 | % 59.79/24.94 | Simplifying 602 yields: % 59.79/24.94 | (110) ~ (e4 = e1) % 59.79/24.94 | % 59.79/24.94 | Equations (642) can reduce 342 to: % 59.79/24.94 | (604) ~ (e2 = e1) % 59.79/24.94 | % 59.79/24.94 | Simplifying 604 yields: % 59.79/24.94 | (122) ~ (e2 = e1) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (163), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (565) all_0_52_52 = e4 % 59.79/24.94 | % 59.79/24.94 | Combining equations (565,642) yields a new equation: % 59.79/24.94 | (636) e4 = e1 % 59.79/24.94 | % 59.79/24.94 | Simplifying 636 yields: % 59.79/24.94 | (630) e4 = e1 % 59.79/24.94 | % 59.79/24.94 | Equations (630) can reduce 110 to: % 59.79/24.94 | (266) $false % 59.79/24.94 | % 59.79/24.94 |-The branch is then unsatisfiable % 59.79/24.94 |-Branch two: % 59.79/24.94 | (780) ~ (all_0_52_52 = e4) % 59.79/24.94 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (781), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.79/24.94 | % 59.79/24.94 +-Applying beta-rule and splitting (789), into two cases. % 59.79/24.94 |-Branch one: % 59.79/24.94 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.79/24.94 | % 59.79/24.95 +-Applying beta-rule and splitting (790), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (791), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (792), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.79/24.95 | % 59.79/24.95 | Applying alpha-rule on (793) yields: % 59.79/24.95 | (794) all_0_41_41 = e0 % 59.79/24.95 | (795) all_0_58_58 = e3 % 59.79/24.95 | (407) ~ (all_0_44_44 = e3) % 59.79/24.95 | % 59.79/24.95 | Combining equations (794,403) yields a new equation: % 59.79/24.95 | (676) e3 = e0 % 59.79/24.95 | % 59.79/24.95 | Combining equations (624,795) yields a new equation: % 59.79/24.95 | (662) e3 = e2 % 59.79/24.95 | % 59.79/24.95 | Combining equations (662,676) yields a new equation: % 59.79/24.95 | (391) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Simplifying 391 yields: % 59.79/24.95 | (330) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (330) can reduce 128 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.79/24.95 | % 59.79/24.95 | Applying alpha-rule on (800) yields: % 59.79/24.95 | (794) all_0_41_41 = e0 % 59.79/24.95 | (795) all_0_58_58 = e3 % 59.79/24.95 | (803) ~ (all_0_55_55 = e0) % 59.79/24.95 | % 59.79/24.95 | Combining equations (794,403) yields a new equation: % 59.79/24.95 | (676) e3 = e0 % 59.79/24.95 | % 59.79/24.95 | Combining equations (624,795) yields a new equation: % 59.79/24.95 | (662) e3 = e2 % 59.79/24.95 | % 59.79/24.95 | Combining equations (662,676) yields a new equation: % 59.79/24.95 | (391) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Simplifying 391 yields: % 59.79/24.95 | (330) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (330) can reduce 128 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.79/24.95 | % 59.79/24.95 | Applying alpha-rule on (807) yields: % 59.79/24.95 | (654) all_0_47_47 = e1 % 59.79/24.95 | (352) all_0_52_52 = e2 % 59.79/24.95 | (810) ~ (all_0_48_48 = e2) % 59.79/24.95 | % 59.79/24.95 | Combining equations (352,642) yields a new equation: % 59.79/24.95 | (616) e2 = e1 % 59.79/24.95 | % 59.79/24.95 | Simplifying 616 yields: % 59.79/24.95 | (617) e2 = e1 % 59.79/24.95 | % 59.79/24.95 | Equations (617) can reduce 122 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.79/24.95 | % 59.79/24.95 | Applying alpha-rule on (813) yields: % 59.79/24.95 | (654) all_0_47_47 = e1 % 59.79/24.95 | (352) all_0_52_52 = e2 % 59.79/24.95 | (464) ~ (all_0_51_51 = e1) % 59.79/24.95 | % 59.79/24.95 | Combining equations (352,642) yields a new equation: % 59.79/24.95 | (616) e2 = e1 % 59.79/24.95 | % 59.79/24.95 | Simplifying 616 yields: % 59.79/24.95 | (617) e2 = e1 % 59.79/24.95 | % 59.79/24.95 | Equations (617) can reduce 122 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.79/24.95 | % 59.79/24.95 | Applying alpha-rule on (819) yields: % 59.79/24.95 | (674) all_0_47_47 = e0 % 59.79/24.95 | (624) all_0_58_58 = e2 % 59.79/24.95 | (340) ~ (all_0_49_49 = e2) % 59.79/24.95 | % 59.79/24.95 | Equations (674) can reduce 678 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0) % 59.79/24.95 | % 59.79/24.95 | Applying alpha-rule on (825) yields: % 59.79/24.95 | (674) all_0_47_47 = e0 % 59.79/24.95 | (624) all_0_58_58 = e2 % 59.79/24.95 | (828) ~ (all_0_56_56 = e0) % 59.79/24.95 | % 59.79/24.95 | Equations (679) can reduce 828 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (646) ~ (all_0_52_52 = e1) % 59.79/24.95 | (647) all_0_57_57 = e1 % 59.79/24.95 | % 59.79/24.95 | Combining equations (871,647) yields a new equation: % 59.79/24.95 | (636) e4 = e1 % 59.79/24.95 | % 59.79/24.95 | Simplifying 636 yields: % 59.79/24.95 | (630) e4 = e1 % 59.79/24.95 | % 59.79/24.95 | Equations (630) can reduce 110 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (839) ~ (all_0_57_57 = e4) % 59.79/24.95 | (910) all_0_58_58 = e4 % 59.79/24.95 | % 59.79/24.95 | Combining equations (624,910) yields a new equation: % 59.79/24.95 | (323) e4 = e2 % 59.79/24.95 | % 59.79/24.95 | Equations (323) can reduce 48 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (1898) ~ (all_0_41_41 = e3) % 59.79/24.95 | (1923) all_0_46_46 = e3 | all_0_50_50 = e3 | all_0_55_55 = e3 % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (1923), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (1557) all_0_46_46 = e3 % 59.79/24.95 | % 59.79/24.95 | Combining equations (538,1557) yields a new equation: % 59.79/24.95 | (676) e3 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (676) can reduce 80 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (409) ~ (all_0_46_46 = e3) % 59.79/24.95 | (4042) all_0_50_50 = e3 | all_0_55_55 = e3 % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (4042), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (415) all_0_50_50 = e3 % 59.79/24.95 | % 59.79/24.95 | Combining equations (378,415) yields a new equation: % 59.79/24.95 | (662) e3 = e2 % 59.79/24.95 | % 59.79/24.95 | Equations (662) can reduce 212 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (411) ~ (all_0_50_50 = e3) % 59.79/24.95 | (2336) all_0_55_55 = e3 % 59.79/24.95 | % 59.79/24.95 | Equations (2336) can reduce 270 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (831) ~ (all_0_46_46 = e0) % 59.79/24.95 | (832) all_0_47_47 = e0 | all_0_48_48 = e0 | all_0_49_49 = e0 % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (832), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (674) all_0_47_47 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (674) can reduce 678 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (678) ~ (all_0_47_47 = e0) % 59.79/24.95 | (1278) all_0_48_48 = e0 | all_0_49_49 = e0 % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (1278), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (1279) all_0_48_48 = e0 % 59.79/24.95 | % 59.79/24.95 | Combining equations (335,1279) yields a new equation: % 59.79/24.95 | (391) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Simplifying 391 yields: % 59.79/24.95 | (330) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (330) can reduce 128 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (1283) ~ (all_0_48_48 = e0) % 59.79/24.95 | (978) all_0_49_49 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (978) can reduce 487 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (828) ~ (all_0_56_56 = e0) % 59.79/24.95 | (924) all_0_57_57 = e0 | all_0_58_58 = e0 % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (104), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (480) all_0_39_39 = e0 % 59.79/24.95 | % 59.79/24.95 | Combining equations (480,317) yields a new equation: % 59.79/24.95 | (330) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (330) can reduce 128 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (484) ~ (all_0_39_39 = e0) % 59.79/24.95 | (558) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_56_56 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (317) can reduce 484 to: % 59.79/24.95 | (128) ~ (e2 = e0) % 59.79/24.95 | % 59.79/24.95 +-Applying beta-rule and splitting (924), into two cases. % 59.79/24.95 |-Branch one: % 59.79/24.95 | (875) all_0_57_57 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (875) can reduce 364 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (364) ~ (all_0_57_57 = e0) % 59.79/24.95 | (914) all_0_58_58 = e0 % 59.79/24.95 | % 59.79/24.95 | Combining equations (914,624) yields a new equation: % 59.79/24.95 | (330) e2 = e0 % 59.79/24.95 | % 59.79/24.95 | Equations (330) can reduce 128 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.79/24.95 | (302) ~ (all_0_50_50 = e2) % 59.79/24.95 | (386) all_0_55_55 = e2 % 59.79/24.95 | % 59.79/24.95 | Equations (386) can reduce 304 to: % 59.79/24.95 | (266) $false % 59.79/24.95 | % 59.79/24.95 |-The branch is then unsatisfiable % 59.79/24.95 |-Branch two: % 59.83/24.95 | (5470) ~ (all_0_43_43 = e0) % 59.83/24.95 | (5471) all_0_48_48 = e0 | all_0_57_57 = e0 % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (5471), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (1279) all_0_48_48 = e0 % 59.83/24.95 | % 59.83/24.95 | Combining equations (335,1279) yields a new equation: % 59.83/24.95 | (391) e2 = e0 % 59.83/24.95 | % 59.83/24.95 | Simplifying 391 yields: % 59.83/24.95 | (330) e2 = e0 % 59.83/24.95 | % 59.83/24.95 | Equations (330) can reduce 128 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (1283) ~ (all_0_48_48 = e0) % 59.83/24.95 | (875) all_0_57_57 = e0 % 59.83/24.95 | % 59.83/24.95 | Equations (875) can reduce 199 to: % 59.83/24.95 | (5470) ~ (all_0_43_43 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (875) can reduce 11 to: % 59.83/24.95 | (72) ~ (all_0_52_52 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (875) can reduce 81 to: % 59.83/24.95 | (803) ~ (all_0_55_55 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (875) can reduce 140 to: % 59.83/24.95 | (828) ~ (all_0_56_56 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (875) can reduce 148 to: % 59.83/24.95 | (490) ~ (all_0_58_58 = e0) % 59.83/24.95 | % 59.83/24.95 | Simplifying 490 yields: % 59.83/24.95 | (491) ~ (all_0_58_58 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (875) can reduce 67 to: % 59.83/24.95 | (541) ~ (e3 = e0) % 59.83/24.95 | % 59.83/24.95 | Simplifying 541 yields: % 59.83/24.95 | (80) ~ (e3 = e0) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (195), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (396) all_0_43_43 = e4 % 59.83/24.95 | % 59.83/24.95 | Equations (396) can reduce 217 to: % 59.83/24.95 | (958) ~ (all_0_52_52 = e4) % 59.83/24.95 | % 59.83/24.95 | Simplifying 958 yields: % 59.83/24.95 | (780) ~ (all_0_52_52 = e4) % 59.83/24.95 | % 59.83/24.95 | From (396) and (37) follows: % 59.83/24.95 | (5492) op(e3, e1) = e4 % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (130), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (430) all_0_43_43 = e1 % 59.83/24.95 | % 59.83/24.95 | Combining equations (396,430) yields a new equation: % 59.83/24.95 | (636) e4 = e1 % 59.83/24.95 | % 59.83/24.95 | Simplifying 636 yields: % 59.83/24.95 | (630) e4 = e1 % 59.83/24.95 | % 59.83/24.95 | Equations (630) can reduce 110 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (433) ~ (all_0_43_43 = e1) % 59.83/24.95 | (434) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_57_57 = e1 % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (434), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (615) all_0_48_48 = e1 % 59.83/24.95 | % 59.83/24.95 | Combining equations (335,615) yields a new equation: % 59.83/24.95 | (616) e2 = e1 % 59.83/24.95 | % 59.83/24.95 | Simplifying 616 yields: % 59.83/24.95 | (617) e2 = e1 % 59.83/24.95 | % 59.83/24.95 | Equations (617) can reduce 122 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (619) ~ (all_0_48_48 = e1) % 59.83/24.95 | (620) all_0_52_52 = e1 | all_0_57_57 = e1 % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (163), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (565) all_0_52_52 = e4 % 59.83/24.95 | % 59.83/24.95 | Equations (565) can reduce 780 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (780) ~ (all_0_52_52 = e4) % 59.83/24.95 | (781) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_56_56 = e0)) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (620), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (642) all_0_52_52 = e1 % 59.83/24.95 | % 59.83/24.95 | Equations (642) can reduce 20 to: % 59.83/24.95 | (464) ~ (all_0_51_51 = e1) % 59.83/24.95 | % 59.83/24.95 | Equations (642) can reduce 46 to: % 59.83/24.95 | (1458) ~ (all_0_53_53 = e1) % 59.83/24.95 | % 59.83/24.95 | Simplifying 1458 yields: % 59.83/24.95 | (1459) ~ (all_0_53_53 = e1) % 59.83/24.95 | % 59.83/24.95 | Equations (642) can reduce 342 to: % 59.83/24.95 | (604) ~ (e2 = e1) % 59.83/24.95 | % 59.83/24.95 | Simplifying 604 yields: % 59.83/24.95 | (122) ~ (e2 = e1) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (781), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (789) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) | (all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2)) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (789), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (790) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1)) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (790), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (791) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) | (all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2)) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (791), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (792) (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3)) | (all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0)) % 59.83/24.95 | % 59.83/24.95 +-Applying beta-rule and splitting (792), into two cases. % 59.83/24.95 |-Branch one: % 59.83/24.95 | (793) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_44_44 = e3) % 59.83/24.95 | % 59.83/24.95 | Applying alpha-rule on (793) yields: % 59.83/24.95 | (794) all_0_41_41 = e0 % 59.83/24.95 | (795) all_0_58_58 = e3 % 59.83/24.95 | (407) ~ (all_0_44_44 = e3) % 59.83/24.95 | % 59.83/24.95 | Equations (795) can reduce 276 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (800) all_0_41_41 = e0 & all_0_58_58 = e3 & ~ (all_0_55_55 = e0) % 59.83/24.95 | % 59.83/24.95 | Applying alpha-rule on (800) yields: % 59.83/24.95 | (794) all_0_41_41 = e0 % 59.83/24.95 | (795) all_0_58_58 = e3 % 59.83/24.95 | (803) ~ (all_0_55_55 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (795) can reduce 276 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (807) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_48_48 = e2) % 59.83/24.95 | % 59.83/24.95 | Applying alpha-rule on (807) yields: % 59.83/24.95 | (654) all_0_47_47 = e1 % 59.83/24.95 | (352) all_0_52_52 = e2 % 59.83/24.95 | (810) ~ (all_0_48_48 = e2) % 59.83/24.95 | % 59.83/24.95 | Combining equations (642,352) yields a new equation: % 59.83/24.95 | (617) e2 = e1 % 59.83/24.95 | % 59.83/24.95 | Equations (617) can reduce 122 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (813) all_0_47_47 = e1 & all_0_52_52 = e2 & ~ (all_0_51_51 = e1) % 59.83/24.95 | % 59.83/24.95 | Applying alpha-rule on (813) yields: % 59.83/24.95 | (654) all_0_47_47 = e1 % 59.83/24.95 | (352) all_0_52_52 = e2 % 59.83/24.95 | (464) ~ (all_0_51_51 = e1) % 59.83/24.95 | % 59.83/24.95 | Combining equations (642,352) yields a new equation: % 59.83/24.95 | (617) e2 = e1 % 59.83/24.95 | % 59.83/24.95 | Equations (617) can reduce 122 to: % 59.83/24.95 | (266) $false % 59.83/24.95 | % 59.83/24.95 |-The branch is then unsatisfiable % 59.83/24.95 |-Branch two: % 59.83/24.95 | (819) all_0_47_47 = e0 & all_0_58_58 = e2 & ~ (all_0_49_49 = e2) % 59.83/24.95 | % 59.83/24.95 | Applying alpha-rule on (819) yields: % 59.83/24.95 | (674) all_0_47_47 = e0 % 59.83/24.95 | (624) all_0_58_58 = e2 % 59.83/24.95 | (340) ~ (all_0_49_49 = e2) % 59.83/24.95 | % 59.83/24.95 | Equations (674) can reduce 198 to: % 59.83/24.95 | (358) ~ (all_0_42_42 = e0) % 59.83/24.95 | % 59.83/24.95 | Equations (674) can reduce 19 to: % 59.83/24.95 | (831) ~ (all_0_46_46 = e0) % 59.83/24.95 | % 59.83/24.96 | Equations (674) can reduce 86 to: % 59.83/24.96 | (486) ~ (all_0_49_49 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 486 yields: % 59.83/24.96 | (487) ~ (all_0_49_49 = e0) % 59.83/24.96 | % 59.83/24.96 | Equations (674) can reduce 224 to: % 59.83/24.96 | (1404) ~ (all_0_51_51 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 1404 yields: % 59.83/24.96 | (115) ~ (all_0_51_51 = e0) % 59.83/24.96 | % 59.83/24.96 | Equations (674) can reduce 91 to: % 59.83/24.96 | (1181) ~ (all_0_56_56 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 1181 yields: % 59.83/24.96 | (828) ~ (all_0_56_56 = e0) % 59.83/24.96 | % 59.83/24.96 | Equations (624) can reduce 3 to: % 59.83/24.96 | (304) ~ (all_0_55_55 = e2) % 59.83/24.96 | % 59.83/24.96 | Equations (624) can reduce 44 to: % 59.83/24.96 | (511) ~ (all_0_56_56 = e2) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (174), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (386) all_0_55_55 = e2 % 59.83/24.96 | % 59.83/24.96 | Equations (386) can reduce 304 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (304) ~ (all_0_55_55 = e2) % 59.83/24.96 | (2051) all_0_55_55 = e4 | all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (2051), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (587) all_0_55_55 = e4 % 59.83/24.96 | % 59.83/24.96 | Equations (587) can reduce 763 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (763) ~ (all_0_55_55 = e4) % 59.83/24.96 | (2055) all_0_55_55 = e3 | all_0_55_55 = e1 | all_0_55_55 = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (2055), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (858) all_0_55_55 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (858) can reduce 803 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (803) ~ (all_0_55_55 = e0) % 59.83/24.96 | (2315) all_0_55_55 = e3 | all_0_55_55 = e1 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (2315), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (629) all_0_55_55 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (629) can reduce 191 to: % 59.83/24.96 | (457) ~ (all_0_41_41 = e1) % 59.83/24.96 | % 59.83/24.96 | Equations (629) can reduce 58 to: % 59.83/24.96 | (549) ~ (all_0_46_46 = e1) % 59.83/24.96 | % 59.83/24.96 | Equations (629) can reduce 93 to: % 59.83/24.96 | (759) ~ (all_0_50_50 = e1) % 59.83/24.96 | % 59.83/24.96 | Equations (629) can reduce 153 to: % 59.83/24.96 | (465) ~ (all_0_56_56 = e1) % 59.83/24.96 | % 59.83/24.96 | Simplifying 465 yields: % 59.83/24.96 | (466) ~ (all_0_56_56 = e1) % 59.83/24.96 | % 59.83/24.96 | From (629) and (74) follows: % 59.83/24.96 | (6587) op(e0, e3) = e1 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (123), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (1794) all_0_46_46 = e2 % 59.83/24.96 | % 59.83/24.96 | Equations (1794) can reduce 300 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (300) ~ (all_0_46_46 = e2) % 59.83/24.96 | (1797) all_0_46_46 = e4 | all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (1797), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (770) all_0_46_46 = e4 % 59.83/24.96 | % 59.83/24.96 | Equations (770) can reduce 250 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (250) ~ (all_0_46_46 = e4) % 59.83/24.96 | (1801) all_0_46_46 = e3 | all_0_46_46 = e1 | all_0_46_46 = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (1801), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (538) all_0_46_46 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (538) can reduce 831 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (831) ~ (all_0_46_46 = e0) % 59.83/24.96 | (1838) all_0_46_46 = e3 | all_0_46_46 = e1 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (1838), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (545) all_0_46_46 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (545) can reduce 549 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (549) ~ (all_0_46_46 = e1) % 59.83/24.96 | (1557) all_0_46_46 = e3 % 59.83/24.96 | % 59.83/24.96 | Equations (1557) can reduce 43 to: % 59.83/24.96 | (1898) ~ (all_0_41_41 = e3) % 59.83/24.96 | % 59.83/24.96 | Equations (1557) can reduce 208 to: % 59.83/24.96 | (524) ~ (all_0_49_49 = e3) % 59.83/24.96 | % 59.83/24.96 | Simplifying 524 yields: % 59.83/24.96 | (525) ~ (all_0_49_49 = e3) % 59.83/24.96 | % 59.83/24.96 | Equations (1557) can reduce 35 to: % 59.83/24.96 | (410) ~ (all_0_50_50 = e3) % 59.83/24.96 | % 59.83/24.96 | Simplifying 410 yields: % 59.83/24.96 | (411) ~ (all_0_50_50 = e3) % 59.83/24.96 | % 59.83/24.96 | Equations (1557) can reduce 549 to: % 59.83/24.96 | (213) ~ (e3 = e1) % 59.83/24.96 | % 59.83/24.96 | From (1557) and (120) follows: % 59.83/24.96 | (697) op(e2, e3) = e3 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (95), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (378) all_0_50_50 = e2 % 59.83/24.96 | % 59.83/24.96 | Equations (378) can reduce 221 to: % 59.83/24.96 | (85) ~ (all_0_41_41 = e2) % 59.83/24.96 | % 59.83/24.96 | Equations (378) can reduce 190 to: % 59.83/24.96 | (508) ~ (all_0_53_53 = e2) % 59.83/24.96 | % 59.83/24.96 | Simplifying 508 yields: % 59.83/24.96 | (509) ~ (all_0_53_53 = e2) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (133), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (833) all_0_56_56 = e2 % 59.83/24.96 | % 59.83/24.96 | Equations (833) can reduce 511 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (511) ~ (all_0_56_56 = e2) % 59.83/24.96 | (836) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (836), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (842) all_0_56_56 = e4 % 59.83/24.96 | % 59.83/24.96 | Equations (842) can reduce 272 to: % 59.83/24.96 | (188) ~ (e4 = e3) % 59.83/24.96 | % 59.83/24.96 | Equations (842) can reduce 466 to: % 59.83/24.96 | (110) ~ (e4 = e1) % 59.83/24.96 | % 59.83/24.96 | Equations (842) can reduce 828 to: % 59.83/24.96 | (49) ~ (e4 = e0) % 59.83/24.96 | % 59.83/24.96 | From (842) and (111) follows: % 59.83/24.96 | (2154) op(e0, e2) = e4 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (243), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (329) all_0_38_38 = e0 % 59.83/24.96 | % 59.83/24.96 | Combining equations (329,321) yields a new equation: % 59.83/24.96 | (397) e4 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (397) can reduce 49 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (332) ~ (all_0_38_38 = e0) % 59.83/24.96 | (395) all_0_41_41 = e0 | all_0_46_46 = e0 | all_0_55_55 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (321) can reduce 332 to: % 59.83/24.96 | (49) ~ (e4 = e0) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (165), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (794) all_0_41_41 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (794) can reduce 214 to: % 59.83/24.96 | (5565) ~ (all_0_42_42 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 5565 yields: % 59.83/24.96 | (358) ~ (all_0_42_42 = e0) % 59.83/24.96 | % 59.83/24.96 | Equations (794) can reduce 1898 to: % 59.83/24.96 | (541) ~ (e3 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 541 yields: % 59.83/24.96 | (80) ~ (e3 = e0) % 59.83/24.96 | % 59.83/24.96 | Equations (794) can reduce 85 to: % 59.83/24.96 | (365) ~ (e2 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 365 yields: % 59.83/24.96 | (128) ~ (e2 = e0) % 59.83/24.96 | % 59.83/24.96 | Equations (794) can reduce 457 to: % 59.83/24.96 | (435) ~ (e1 = e0) % 59.83/24.96 | % 59.83/24.96 | Simplifying 435 yields: % 59.83/24.96 | (233) ~ (e1 = e0) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (135), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (545) all_0_46_46 = e1 % 59.83/24.96 | % 59.83/24.96 | Combining equations (1557,545) yields a new equation: % 59.83/24.96 | (454) e3 = e1 % 59.83/24.96 | % 59.83/24.96 | Simplifying 454 yields: % 59.83/24.96 | (455) e3 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (455) can reduce 213 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (549) ~ (all_0_46_46 = e1) % 59.83/24.96 | (550) all_0_47_47 = e1 | all_0_48_48 = e1 | all_0_49_49 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (1557) can reduce 549 to: % 59.83/24.96 | (213) ~ (e3 = e1) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (131), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (459) all_0_42_42 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (459) can reduce 51 to: % 59.83/24.96 | (604) ~ (e2 = e1) % 59.83/24.96 | % 59.83/24.96 | Simplifying 604 yields: % 59.83/24.96 | (122) ~ (e2 = e1) % 59.83/24.96 | % 59.83/24.96 | Equations (459) can reduce 358 to: % 59.83/24.96 | (233) ~ (e1 = e0) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (180), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (516) all_0_42_42 = e3 % 59.83/24.96 | % 59.83/24.96 | Combining equations (459,516) yields a new equation: % 59.83/24.96 | (455) e3 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (455) can reduce 213 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (405) ~ (all_0_42_42 = e3) % 59.83/24.96 | (521) all_0_47_47 = e3 | all_0_51_51 = e3 | all_0_56_56 = e3 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (521), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (522) all_0_47_47 = e3 % 59.83/24.96 | % 59.83/24.96 | Combining equations (674,522) yields a new equation: % 59.83/24.96 | (676) e3 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (676) can reduce 80 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (1091) ~ (all_0_47_47 = e3) % 59.83/24.96 | (1092) all_0_51_51 = e3 | all_0_56_56 = e3 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (1092), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (660) all_0_51_51 = e3 % 59.83/24.96 | % 59.83/24.96 | Equations (660) can reduce 6 to: % 59.83/24.96 | (1114) ~ (all_0_53_53 = e3) % 59.83/24.96 | % 59.83/24.96 | Simplifying 1114 yields: % 59.83/24.96 | (903) ~ (all_0_53_53 = e3) % 59.83/24.96 | % 59.83/24.96 | Equations (660) can reduce 115 to: % 59.83/24.96 | (80) ~ (e3 = e0) % 59.83/24.96 | % 59.83/24.96 | From (660) and (186) follows: % 59.83/24.96 | (1552) op(e1, e2) = e3 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (196), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (607) all_0_53_53 = e2 % 59.83/24.96 | % 59.83/24.96 | Equations (607) can reduce 509 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (509) ~ (all_0_53_53 = e2) % 59.83/24.96 | (610) all_0_53_53 = e4 | all_0_53_53 = e3 | all_0_53_53 = e1 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (610), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (1298) all_0_53_53 = e4 % 59.83/24.96 | % 59.83/24.96 | From (1298) and (84) follows: % 59.83/24.96 | (5692) op(e1, e0) = e4 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (550), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (654) all_0_47_47 = e1 % 59.83/24.96 | % 59.83/24.96 | Combining equations (654,674) yields a new equation: % 59.83/24.96 | (546) e1 = e0 % 59.83/24.96 | % 59.83/24.96 | Simplifying 546 yields: % 59.83/24.96 | (431) e1 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (431) can reduce 233 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (462) ~ (all_0_47_47 = e1) % 59.83/24.96 | (659) all_0_48_48 = e1 | all_0_49_49 = e1 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (659), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (615) all_0_48_48 = e1 % 59.83/24.96 | % 59.83/24.96 | Combining equations (335,615) yields a new equation: % 59.83/24.96 | (616) e2 = e1 % 59.83/24.96 | % 59.83/24.96 | Simplifying 616 yields: % 59.83/24.96 | (617) e2 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (617) can reduce 122 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (619) ~ (all_0_48_48 = e1) % 59.83/24.96 | (671) all_0_49_49 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (671) can reduce 525 to: % 59.83/24.96 | (467) ~ (e3 = e1) % 59.83/24.96 | % 59.83/24.96 | Simplifying 467 yields: % 59.83/24.96 | (213) ~ (e3 = e1) % 59.83/24.96 | % 59.83/24.96 | Equations (671) can reduce 487 to: % 59.83/24.96 | (233) ~ (e1 = e0) % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (113), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (403) all_0_41_41 = e3 % 59.83/24.96 | % 59.83/24.96 | Combining equations (403,794) yields a new equation: % 59.83/24.96 | (675) e3 = e0 % 59.83/24.96 | % 59.83/24.96 | Simplifying 675 yields: % 59.83/24.96 | (676) e3 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (676) can reduce 80 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (1898) ~ (all_0_41_41 = e3) % 59.83/24.96 | (1899) all_0_42_42 = e3 | all_0_44_44 = e3 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (1899), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (516) all_0_42_42 = e3 % 59.83/24.96 | % 59.83/24.96 | Combining equations (516,459) yields a new equation: % 59.83/24.96 | (454) e3 = e1 % 59.83/24.96 | % 59.83/24.96 | Simplifying 454 yields: % 59.83/24.96 | (455) e3 = e1 % 59.83/24.96 | % 59.83/24.96 | Equations (455) can reduce 213 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (405) ~ (all_0_42_42 = e3) % 59.83/24.96 | (532) all_0_44_44 = e3 % 59.83/24.96 | % 59.83/24.96 | From (532) and (138) follows: % 59.83/24.96 | (1639) op(e3, e0) = e3 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (56), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (696) unit = e2 % 59.83/24.96 | % 59.83/24.96 | From (696) and (211) follows: % 59.83/24.96 | (1612) op(e2, e1) = e1 % 59.83/24.96 | % 59.83/24.96 | From (696) and (227) follows: % 59.83/24.96 | (4284) op(e4, e2) = e4 % 59.83/24.96 | % 59.83/24.96 | From (696) and (42) follows: % 59.83/24.96 | (1613) op(e0, e2) = e0 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e4, e2, e4, e2 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 59.83/24.96 | (323) e4 = e2 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 59.83/24.96 | (617) e2 = e1 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 59.83/24.96 | (397) e4 = e0 % 59.83/24.96 | % 59.83/24.96 | Combining equations (323,397) yields a new equation: % 59.83/24.96 | (391) e2 = e0 % 59.83/24.96 | % 59.83/24.96 | Simplifying 391 yields: % 59.83/24.96 | (330) e2 = e0 % 59.83/24.96 | % 59.83/24.96 | Combining equations (617,330) yields a new equation: % 59.83/24.96 | (546) e1 = e0 % 59.83/24.96 | % 59.83/24.96 | Simplifying 546 yields: % 59.83/24.96 | (431) e1 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (431) can reduce 233 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (707) ~ (unit = e2) % 59.83/24.96 | (708) unit = e4 | unit = e3 | unit = e1 | unit = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (708), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (709) unit = e4 % 59.83/24.96 | % 59.83/24.96 | From (709) and (24) follows: % 59.83/24.96 | (33325) op(e4, e3) = e3 % 59.83/24.96 | % 59.83/24.96 | From (709) and (227) follows: % 59.83/24.96 | (710) op(e4, e4) = e4 % 59.83/24.96 | % 59.83/24.96 | From (709) and (42) follows: % 59.83/24.96 | (713) op(e0, e4) = e0 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e4, e4, e4, e1 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e1, yields: % 59.83/24.96 | (630) e4 = e1 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 59.83/24.96 | (425) e4 = e3 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 59.83/24.96 | (676) e3 = e0 % 59.83/24.96 | % 59.83/24.96 | Combining equations (630,425) yields a new equation: % 59.83/24.96 | (455) e3 = e1 % 59.83/24.96 | % 59.83/24.96 | Combining equations (455,676) yields a new equation: % 59.83/24.96 | (546) e1 = e0 % 59.83/24.96 | % 59.83/24.96 | Simplifying 546 yields: % 59.83/24.96 | (431) e1 = e0 % 59.83/24.96 | % 59.83/24.96 | Equations (431) can reduce 233 to: % 59.83/24.96 | (266) $false % 59.83/24.96 | % 59.83/24.96 |-The branch is then unsatisfiable % 59.83/24.96 |-Branch two: % 59.83/24.96 | (724) ~ (unit = e4) % 59.83/24.96 | (725) unit = e3 | unit = e1 | unit = e0 % 59.83/24.96 | % 59.83/24.96 +-Applying beta-rule and splitting (725), into two cases. % 59.83/24.96 |-Branch one: % 59.83/24.96 | (726) unit = e0 % 59.83/24.96 | % 59.83/24.96 | From (726) and (244) follows: % 59.83/24.96 | (2207) op(e0, e4) = e4 % 59.83/24.96 | % 59.83/24.96 | From (726) and (24) follows: % 59.83/24.96 | (2208) op(e0, e3) = e3 % 59.83/24.96 | % 59.83/24.96 | From (726) and (15) follows: % 59.83/24.96 | (1508) op(e0, e2) = e2 % 59.83/24.96 | % 59.83/24.96 | From (726) and (227) follows: % 59.83/24.96 | (3205) op(e4, e0) = e4 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 59.83/24.96 | (397) e4 = e0 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e0, e4, e4, e3 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e3, yields: % 59.83/24.96 | (425) e4 = e3 % 59.83/24.96 | % 59.83/24.96 | Instantiating formula (29) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields: % 59.83/24.97 | (455) e3 = e1 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 59.83/24.97 | (323) e4 = e2 % 59.83/24.97 | % 59.83/24.97 | Combining equations (425,323) yields a new equation: % 59.83/24.97 | (661) e3 = e2 % 59.83/24.97 | % 59.83/24.97 | Simplifying 661 yields: % 59.83/24.97 | (662) e3 = e2 % 59.83/24.97 | % 59.83/24.97 | Combining equations (397,323) yields a new equation: % 59.83/24.97 | (330) e2 = e0 % 59.83/24.97 | % 59.83/24.97 | Combining equations (662,455) yields a new equation: % 59.83/24.97 | (616) e2 = e1 % 59.83/24.97 | % 59.83/24.97 | Simplifying 616 yields: % 59.83/24.97 | (617) e2 = e1 % 59.83/24.97 | % 59.83/24.97 | Combining equations (617,330) yields a new equation: % 59.83/24.97 | (546) e1 = e0 % 59.83/24.97 | % 59.83/24.97 | Simplifying 546 yields: % 59.83/24.97 | (431) e1 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (431) can reduce 233 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (734) ~ (unit = e0) % 59.83/24.97 | (735) unit = e3 | unit = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (735), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (736) unit = e1 % 59.83/24.97 | % 59.83/24.97 | From (736) and (15) follows: % 59.83/24.97 | (515) op(e1, e2) = e2 % 59.83/24.97 | % 59.83/24.97 | From (736) and (209) follows: % 59.83/24.97 | (2715) op(e1, e0) = e0 % 59.83/24.97 | % 59.83/24.97 | From (736) and (40) follows: % 59.83/24.97 | (1652) op(e3, e1) = e3 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields: % 59.83/24.97 | (425) e4 = e3 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e1, e2, e2, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e2, yields: % 59.83/24.97 | (662) e3 = e2 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields: % 59.83/24.97 | (397) e4 = e0 % 59.83/24.97 | % 59.83/24.97 | Combining equations (425,397) yields a new equation: % 59.83/24.97 | (675) e3 = e0 % 59.83/24.97 | % 59.83/24.97 | Simplifying 675 yields: % 59.83/24.97 | (676) e3 = e0 % 59.83/24.97 | % 59.83/24.97 | Combining equations (676,662) yields a new equation: % 59.83/24.97 | (330) e2 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (330) can reduce 128 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (748) ~ (unit = e1) % 59.83/24.97 | (749) unit = e3 % 59.83/24.97 | % 59.83/24.97 | From (749) and (244) follows: % 59.83/24.97 | (750) op(e3, e4) = e4 % 59.83/24.97 | % 59.83/24.97 | From (749) and (211) follows: % 59.83/24.97 | (13877) op(e3, e1) = e1 % 59.83/24.97 | % 59.83/24.97 | From (749) and (209) follows: % 59.83/24.97 | (1667) op(e3, e0) = e0 % 59.83/24.97 | % 59.83/24.97 | From (749) and (32) follows: % 59.83/24.97 | (5793) op(e2, e3) = e2 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields: % 59.83/24.97 | (323) e4 = e2 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields: % 59.83/24.97 | (630) e4 = e1 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 59.83/24.97 | (676) e3 = e0 % 59.83/24.97 | % 59.83/24.97 | Instantiating formula (29) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields: % 59.83/24.97 | (662) e3 = e2 % 59.83/24.97 | % 59.83/24.97 | Combining equations (630,323) yields a new equation: % 59.83/24.97 | (617) e2 = e1 % 59.83/24.97 | % 59.83/24.97 | Combining equations (662,676) yields a new equation: % 59.83/24.97 | (391) e2 = e0 % 59.83/24.97 | % 59.83/24.97 | Simplifying 391 yields: % 59.83/24.97 | (330) e2 = e0 % 59.83/24.97 | % 59.83/24.97 | Combining equations (330,617) yields a new equation: % 59.83/24.97 | (431) e1 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (431) can reduce 233 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (1453) ~ (all_0_53_53 = e4) % 59.83/24.97 | (1694) all_0_53_53 = e3 | all_0_53_53 = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (1694), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (1208) all_0_53_53 = e1 % 59.83/24.97 | % 59.83/24.97 | Equations (1208) can reduce 1459 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (1459) ~ (all_0_53_53 = e1) % 59.83/24.97 | (665) all_0_53_53 = e3 % 59.83/24.97 | % 59.83/24.97 | Equations (665) can reduce 903 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (664) ~ (all_0_51_51 = e3) % 59.83/24.97 | (1097) all_0_56_56 = e3 % 59.83/24.97 | % 59.83/24.97 | Combining equations (1097,842) yields a new equation: % 59.83/24.97 | (425) e4 = e3 % 59.83/24.97 | % 59.83/24.97 | Equations (425) can reduce 188 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (1380) ~ (all_0_42_42 = e1) % 59.83/24.97 | (3259) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_56_56 = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (3259), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (654) all_0_47_47 = e1 % 59.83/24.97 | % 59.83/24.97 | Combining equations (674,654) yields a new equation: % 59.83/24.97 | (431) e1 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (431) can reduce 233 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (462) ~ (all_0_47_47 = e1) % 59.83/24.97 | (3264) all_0_51_51 = e1 | all_0_56_56 = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (3264), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (1109) all_0_51_51 = e1 % 59.83/24.97 | % 59.83/24.97 | Equations (1109) can reduce 464 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (464) ~ (all_0_51_51 = e1) % 59.83/24.97 | (1569) all_0_56_56 = e1 % 59.83/24.97 | % 59.83/24.97 | Combining equations (842,1569) yields a new equation: % 59.83/24.97 | (636) e4 = e1 % 59.83/24.97 | % 59.83/24.97 | Simplifying 636 yields: % 59.83/24.97 | (630) e4 = e1 % 59.83/24.97 | % 59.83/24.97 | Equations (630) can reduce 110 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (357) ~ (all_0_41_41 = e0) % 59.83/24.97 | (6761) all_0_42_42 = e0 | all_0_43_43 = e0 | all_0_44_44 = e0 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (6761), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (559) all_0_42_42 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (559) can reduce 358 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (358) ~ (all_0_42_42 = e0) % 59.83/24.97 | (6766) all_0_43_43 = e0 | all_0_44_44 = e0 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (6766), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (356) all_0_43_43 = e0 % 59.83/24.97 | % 59.83/24.97 | Combining equations (356,396) yields a new equation: % 59.83/24.97 | (397) e4 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (397) can reduce 49 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (5470) ~ (all_0_43_43 = e0) % 59.83/24.97 | (1414) all_0_44_44 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (1414) can reduce 360 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (477) ~ (all_0_56_56 = e4) % 59.83/24.97 | (845) all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (845), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (679) all_0_56_56 = e0 % 59.83/24.97 | % 59.83/24.97 | Equations (679) can reduce 828 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (828) ~ (all_0_56_56 = e0) % 59.83/24.97 | (3172) all_0_56_56 = e3 | all_0_56_56 = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (3172), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (1569) all_0_56_56 = e1 % 59.83/24.97 | % 59.83/24.97 | Equations (1569) can reduce 466 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (466) ~ (all_0_56_56 = e1) % 59.83/24.97 | (1097) all_0_56_56 = e3 % 59.83/24.97 | % 59.83/24.97 | Equations (1097) can reduce 272 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (302) ~ (all_0_50_50 = e2) % 59.83/24.97 | (381) all_0_51_51 = e2 | all_0_52_52 = e2 | all_0_53_53 = e2 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (241), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (378) all_0_50_50 = e2 % 59.83/24.97 | % 59.83/24.97 | Equations (378) can reduce 302 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (302) ~ (all_0_50_50 = e2) % 59.83/24.97 | (422) all_0_50_50 = e4 | all_0_50_50 = e3 | all_0_50_50 = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (422), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (775) all_0_50_50 = e4 % 59.83/24.97 | % 59.83/24.97 | Equations (775) can reduce 566 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (566) ~ (all_0_50_50 = e4) % 59.83/24.97 | (1444) all_0_50_50 = e3 | all_0_50_50 = e1 % 59.83/24.97 | % 59.83/24.97 +-Applying beta-rule and splitting (1444), into two cases. % 59.83/24.97 |-Branch one: % 59.83/24.97 | (601) all_0_50_50 = e1 % 59.83/24.97 | % 59.83/24.97 | Equations (601) can reduce 759 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (759) ~ (all_0_50_50 = e1) % 59.83/24.97 | (415) all_0_50_50 = e3 % 59.83/24.97 | % 59.83/24.97 | Equations (415) can reduce 411 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (632) ~ (all_0_55_55 = e1) % 59.83/24.97 | (2336) all_0_55_55 = e3 % 59.83/24.97 | % 59.83/24.97 | Equations (2336) can reduce 270 to: % 59.83/24.97 | (266) $false % 59.83/24.97 | % 59.83/24.97 |-The branch is then unsatisfiable % 59.83/24.97 |-Branch two: % 59.83/24.97 | (825) all_0_47_47 = e0 & all_0_58_58 = e2 &