%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG023+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n023.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 15:33:47 EDT 2022 % Result : Unsatisfiable 5.73s 1.86s % Output : Proof 20.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ALG023+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n023.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 11:47:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.17/0.57 ____ _ % 0.17/0.57 ___ / __ \_____(_)___ ________ __________ % 0.17/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.17/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.17/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.17/0.57 % 0.17/0.57 A Theorem Prover for First-Order Logic % 0.17/0.57 (ePrincess v.1.0) % 0.17/0.57 % 0.17/0.57 (c) Philipp Rümmer, 2009-2015 % 0.17/0.57 (c) Peter Backeman, 2014-2015 % 0.17/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.17/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.17/0.57 Bug reports to peter@backeman.se % 0.17/0.57 % 0.17/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.17/0.57 % 0.17/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.63/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.15/1.04 Prover 0: Preprocessing ... % 3.53/1.35 Prover 0: Constructing countermodel ... % 5.73/1.85 Prover 0: proved (1232ms) % 5.73/1.86 % 5.73/1.86 No countermodel exists, formula is valid % 5.73/1.86 % SZS status Unsatisfiable for theBenchmark % 5.73/1.86 % 5.73/1.86 Generating proof ... found it (size 4246) % 17.71/4.63 % 17.71/4.63 % SZS output start Proof for theBenchmark % 17.71/4.63 Assumed formulas after preprocessing and simplification: % 17.71/4.64 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ( ~ (v83 = v82) & ~ (v83 = v81) & ~ (v83 = v80) & ~ (v82 = v81) & ~ (v82 = v80) & ~ (v81 = v80) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v83, e3) = unit & op(v82, e2) = unit & op(v81, e1) = unit & op(v80, e0) = unit & op(v15, e3) = v79 & op(v15, e2) = v78 & op(v15, e1) = v77 & op(v15, e0) = v76 & op(v14, e3) = v75 & op(v14, e2) = v74 & op(v14, e1) = v73 & op(v14, e0) = v72 & op(v13, e3) = v71 & op(v13, e2) = v70 & op(v13, e1) = v69 & op(v13, e0) = v68 & op(v12, e3) = v67 & op(v12, e2) = v66 & op(v12, e1) = v65 & op(v12, e0) = v64 & op(v11, e3) = v63 & op(v11, e2) = v62 & op(v11, e1) = v61 & op(v11, e0) = v60 & op(v10, e3) = v59 & op(v10, e2) = v58 & op(v10, e1) = v57 & op(v10, e0) = v56 & op(v9, e3) = v55 & op(v9, e2) = v54 & op(v9, e1) = v53 & op(v9, e0) = v52 & op(v8, e3) = v51 & op(v8, e2) = v50 & op(v8, e1) = v49 & op(v8, e0) = v48 & op(v7, e3) = v47 & op(v7, e2) = v46 & op(v7, e1) = v45 & op(v7, e0) = v44 & op(v6, e3) = v43 & op(v6, e2) = v42 & op(v6, e1) = v41 & op(v6, e0) = v40 & op(v5, e3) = v39 & op(v5, e2) = v38 & op(v5, e1) = v37 & op(v5, e0) = v36 & op(v4, e3) = v35 & op(v4, e2) = v34 & op(v4, e1) = v33 & op(v4, e0) = v32 & op(v3, e3) = v31 & op(v3, e2) = v30 & op(v3, e1) = v29 & op(v3, e0) = v28 & op(v2, e3) = v27 & op(v2, e2) = v26 & op(v2, e1) = v25 & op(v2, e0) = v24 & op(v1, e3) = v23 & op(v1, e2) = v22 & op(v1, e1) = v21 & op(v1, e0) = v20 & op(v0, e3) = v19 & op(v0, e2) = v18 & op(v0, e1) = v17 & op(v0, e0) = v16 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e3, v83) = unit & op(e3, v15) = v79 & op(e3, v14) = v78 & op(e3, v13) = v77 & op(e3, v12) = v76 & op(e3, v11) = v75 & op(e3, v10) = v74 & op(e3, v9) = v73 & op(e3, v8) = v72 & op(e3, v7) = v71 & op(e3, v6) = v70 & op(e3, v5) = v69 & op(e3, v4) = v68 & op(e3, v3) = v67 & op(e3, v2) = v66 & op(e3, v1) = v65 & op(e3, v0) = v64 & op(e3, unit) = e3 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, v82) = unit & op(e2, v15) = v63 & op(e2, v14) = v62 & op(e2, v13) = v61 & op(e2, v12) = v60 & op(e2, v11) = v59 & op(e2, v10) = v58 & op(e2, v9) = v57 & op(e2, v8) = v56 & op(e2, v7) = v55 & op(e2, v6) = v54 & op(e2, v5) = v53 & op(e2, v4) = v52 & op(e2, v3) = v51 & op(e2, v2) = v50 & op(e2, v1) = v49 & op(e2, v0) = v48 & op(e2, unit) = e2 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, v81) = unit & op(e1, v15) = v47 & op(e1, v14) = v46 & op(e1, v13) = v45 & op(e1, v12) = v44 & op(e1, v11) = v43 & op(e1, v10) = v42 & op(e1, v9) = v41 & op(e1, v8) = v40 & op(e1, v7) = v39 & op(e1, v6) = v38 & op(e1, v5) = v37 & op(e1, v4) = v36 & op(e1, v3) = v35 & op(e1, v2) = v34 & op(e1, v1) = v33 & op(e1, v0) = v32 & op(e1, unit) = e1 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, v80) = unit & op(e0, v15) = v31 & op(e0, v14) = v30 & op(e0, v13) = v29 & op(e0, v12) = v28 & op(e0, v11) = v27 & op(e0, v10) = v26 & op(e0, v9) = v25 & op(e0, v8) = v24 & op(e0, v7) = v23 & op(e0, v6) = v22 & op(e0, v5) = v21 & op(e0, v4) = v20 & op(e0, v3) = v19 & op(e0, v2) = v18 & op(e0, v1) = v17 & op(e0, v0) = v16 & op(e0, unit) = e0 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & inv(v83) = e3 & inv(v82) = e2 & inv(v81) = e1 & inv(v80) = e0 & inv(unit) = unit & inv(e3) = v83 & inv(e2) = v82 & inv(e1) = v81 & inv(e0) = v80 & ! [v84] : ! [v85] : ! [v86] : ! [v87] : (v85 = v84 | ~ (op(v87, v86) = v85) | ~ (op(v87, v86) = v84)) & ! [v84] : ! [v85] : ! [v86] : (v85 = v84 | ~ (inv(v86) = v85) | ~ (inv(v86) = v84)) & ( ~ (v83 = e2) | v82 = e3) & ( ~ (v83 = e1) | v81 = e3) & ( ~ (v83 = e0) | v80 = e3) & ( ~ (v82 = e3) | v83 = e2) & ( ~ (v82 = e1) | v81 = e2) & ( ~ (v82 = e0) | v80 = e2) & ( ~ (v81 = e3) | v83 = e1) & ( ~ (v81 = e2) | v82 = e1) & ( ~ (v81 = e0) | v80 = e1) & ( ~ (v80 = e3) | v83 = e0) & ( ~ (v80 = e2) | v82 = e0) & ( ~ (v80 = e1) | v81 = e0) & ( ~ (v15 = e2) | ~ (v7 = e0)) & ( ~ (v15 = e2) | ~ (v3 = e1)) & ( ~ (v15 = e1) | ~ (v11 = e0)) & ( ~ (v15 = e1) | ~ (v3 = e2)) & ( ~ (v15 = e0) | ~ (v11 = e1)) & ( ~ (v15 = e0) | ~ (v7 = e2)) & ( ~ (v14 = e1) | ~ (v10 = e0)) & ( ~ (v14 = e0) | ~ (v10 = e1)) & ( ~ (v13 = e2) | ~ (v5 = e0)) & ( ~ (v13 = e0) | ~ (v5 = e2)) & ( ~ (v12 = e2) | ~ (v0 = e1)) & ( ~ (v12 = e1) | ~ (v0 = e2)) & ( ~ (v10 = e3) | ~ (v6 = e0)) & ( ~ (v10 = e3) | ~ (v2 = e1)) & ( ~ (v10 = e1) | ~ (v2 = e3)) & ( ~ (v10 = e0) | ~ (v6 = e3)) & ( ~ (v9 = e3) | ~ (v5 = e0)) & ( ~ (v9 = e0) | ~ (v5 = e3)) & ( ~ (v8 = e3) | ~ (v0 = e1)) & ( ~ (v8 = e1) | ~ (v0 = e3)) & ( ~ (v5 = e3) | ~ (v1 = e2)) & ( ~ (v5 = e2) | ~ (v1 = e3)) & ( ~ (v4 = e3) | ~ (v0 = e2)) & ( ~ (v4 = e2) | ~ (v0 = e3)) & (v83 = e3 | v83 = e2 | v83 = e1 | v83 = e0) & (v82 = e3 | v82 = e2 | v82 = e1 | v82 = e0) & (v81 = e3 | v81 = e2 | v81 = e1 | v81 = e0) & (v80 = e3 | v80 = e2 | v80 = e1 | v80 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v15 = e3 & v10 = e3 & v5 = e3 & v0 = e3) | (v15 = e2 & v10 = e2 & v5 = e2 & v0 = e2) | (v15 = e1 & v10 = e1 & v5 = e1 & v0 = e1) | (v15 = e0 & v10 = e0 & v5 = e0 & v0 = e0))) % 18.09/4.71 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83 yields: % 18.09/4.71 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_0_0 = all_0_2_2) & ~ (all_0_0_0 = all_0_3_3) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_3_3) & ~ (all_0_2_2 = all_0_3_3) & ~ (all_0_68_68 = all_0_69_69) & ~ (all_0_68_68 = all_0_70_70) & ~ (all_0_68_68 = all_0_71_71) & ~ (all_0_68_68 = all_0_72_72) & ~ (all_0_68_68 = all_0_76_76) & ~ (all_0_68_68 = all_0_80_80) & ~ (all_0_69_69 = all_0_70_70) & ~ (all_0_69_69 = all_0_71_71) & ~ (all_0_69_69 = all_0_73_73) & ~ (all_0_69_69 = all_0_77_77) & ~ (all_0_69_69 = all_0_81_81) & ~ (all_0_70_70 = all_0_71_71) & ~ (all_0_70_70 = all_0_74_74) & ~ (all_0_70_70 = all_0_78_78) & ~ (all_0_70_70 = all_0_82_82) & ~ (all_0_71_71 = all_0_75_75) & ~ (all_0_71_71 = all_0_79_79) & ~ (all_0_71_71 = all_0_83_83) & ~ (all_0_72_72 = all_0_73_73) & ~ (all_0_72_72 = all_0_74_74) & ~ (all_0_72_72 = all_0_75_75) & ~ (all_0_72_72 = all_0_76_76) & ~ (all_0_72_72 = all_0_80_80) & ~ (all_0_73_73 = all_0_74_74) & ~ (all_0_73_73 = all_0_75_75) & ~ (all_0_73_73 = all_0_77_77) & ~ (all_0_73_73 = all_0_81_81) & ~ (all_0_74_74 = all_0_75_75) & ~ (all_0_74_74 = all_0_78_78) & ~ (all_0_74_74 = all_0_82_82) & ~ (all_0_75_75 = all_0_79_79) & ~ (all_0_75_75 = all_0_83_83) & ~ (all_0_76_76 = all_0_77_77) & ~ (all_0_76_76 = all_0_78_78) & ~ (all_0_76_76 = all_0_79_79) & ~ (all_0_76_76 = all_0_80_80) & ~ (all_0_77_77 = all_0_78_78) & ~ (all_0_77_77 = all_0_79_79) & ~ (all_0_77_77 = all_0_81_81) & ~ (all_0_78_78 = all_0_79_79) & ~ (all_0_78_78 = all_0_82_82) & ~ (all_0_79_79 = all_0_83_83) & ~ (all_0_80_80 = all_0_81_81) & ~ (all_0_80_80 = all_0_82_82) & ~ (all_0_80_80 = all_0_83_83) & ~ (all_0_81_81 = all_0_82_82) & ~ (all_0_81_81 = all_0_83_83) & ~ (all_0_82_82 = all_0_83_83) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_0_0, e3) = unit & op(all_0_1_1, e2) = unit & op(all_0_2_2, e1) = unit & op(all_0_3_3, e0) = unit & op(all_0_68_68, e3) = all_0_4_4 & op(all_0_68_68, e2) = all_0_5_5 & op(all_0_68_68, e1) = all_0_6_6 & op(all_0_68_68, e0) = all_0_7_7 & op(all_0_69_69, e3) = all_0_8_8 & op(all_0_69_69, e2) = all_0_9_9 & op(all_0_69_69, e1) = all_0_10_10 & op(all_0_69_69, e0) = all_0_11_11 & op(all_0_70_70, e3) = all_0_12_12 & op(all_0_70_70, e2) = all_0_13_13 & op(all_0_70_70, e1) = all_0_14_14 & op(all_0_70_70, e0) = all_0_15_15 & op(all_0_71_71, e3) = all_0_16_16 & op(all_0_71_71, e2) = all_0_17_17 & op(all_0_71_71, e1) = all_0_18_18 & op(all_0_71_71, e0) = all_0_19_19 & op(all_0_72_72, e3) = all_0_20_20 & op(all_0_72_72, e2) = all_0_21_21 & op(all_0_72_72, e1) = all_0_22_22 & op(all_0_72_72, e0) = all_0_23_23 & op(all_0_73_73, e3) = all_0_24_24 & op(all_0_73_73, e2) = all_0_25_25 & op(all_0_73_73, e1) = all_0_26_26 & op(all_0_73_73, e0) = all_0_27_27 & op(all_0_74_74, e3) = all_0_28_28 & op(all_0_74_74, e2) = all_0_29_29 & op(all_0_74_74, e1) = all_0_30_30 & op(all_0_74_74, e0) = all_0_31_31 & op(all_0_75_75, e3) = all_0_32_32 & op(all_0_75_75, e2) = all_0_33_33 & op(all_0_75_75, e1) = all_0_34_34 & op(all_0_75_75, e0) = all_0_35_35 & op(all_0_76_76, e3) = all_0_36_36 & op(all_0_76_76, e2) = all_0_37_37 & op(all_0_76_76, e1) = all_0_38_38 & op(all_0_76_76, e0) = all_0_39_39 & op(all_0_77_77, e3) = all_0_40_40 & op(all_0_77_77, e2) = all_0_41_41 & op(all_0_77_77, e1) = all_0_42_42 & op(all_0_77_77, e0) = all_0_43_43 & op(all_0_78_78, e3) = all_0_44_44 & op(all_0_78_78, e2) = all_0_45_45 & op(all_0_78_78, e1) = all_0_46_46 & op(all_0_78_78, e0) = all_0_47_47 & op(all_0_79_79, e3) = all_0_48_48 & op(all_0_79_79, e2) = all_0_49_49 & op(all_0_79_79, e1) = all_0_50_50 & op(all_0_79_79, e0) = all_0_51_51 & op(all_0_80_80, e3) = all_0_52_52 & op(all_0_80_80, e2) = all_0_53_53 & op(all_0_80_80, e1) = all_0_54_54 & op(all_0_80_80, e0) = all_0_55_55 & op(all_0_81_81, e3) = all_0_56_56 & op(all_0_81_81, e2) = all_0_57_57 & op(all_0_81_81, e1) = all_0_58_58 & op(all_0_81_81, e0) = all_0_59_59 & op(all_0_82_82, e3) = all_0_60_60 & op(all_0_82_82, e2) = all_0_61_61 & op(all_0_82_82, e1) = all_0_62_62 & op(all_0_82_82, e0) = all_0_63_63 & op(all_0_83_83, e3) = all_0_64_64 & op(all_0_83_83, e2) = all_0_65_65 & op(all_0_83_83, e1) = all_0_66_66 & op(all_0_83_83, e0) = all_0_67_67 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e3, all_0_0_0) = unit & op(e3, all_0_68_68) = all_0_4_4 & op(e3, all_0_69_69) = all_0_5_5 & op(e3, all_0_70_70) = all_0_6_6 & op(e3, all_0_71_71) = all_0_7_7 & op(e3, all_0_72_72) = all_0_8_8 & op(e3, all_0_73_73) = all_0_9_9 & op(e3, all_0_74_74) = all_0_10_10 & op(e3, all_0_75_75) = all_0_11_11 & op(e3, all_0_76_76) = all_0_12_12 & op(e3, all_0_77_77) = all_0_13_13 & op(e3, all_0_78_78) = all_0_14_14 & op(e3, all_0_79_79) = all_0_15_15 & op(e3, all_0_80_80) = all_0_16_16 & op(e3, all_0_81_81) = all_0_17_17 & op(e3, all_0_82_82) = all_0_18_18 & op(e3, all_0_83_83) = all_0_19_19 & op(e3, unit) = e3 & op(e3, e3) = all_0_68_68 & op(e3, e2) = all_0_69_69 & op(e3, e1) = all_0_70_70 & op(e3, e0) = all_0_71_71 & op(e2, all_0_1_1) = unit & op(e2, all_0_68_68) = all_0_20_20 & op(e2, all_0_69_69) = all_0_21_21 & op(e2, all_0_70_70) = all_0_22_22 & op(e2, all_0_71_71) = all_0_23_23 & op(e2, all_0_72_72) = all_0_24_24 & op(e2, all_0_73_73) = all_0_25_25 & op(e2, all_0_74_74) = all_0_26_26 & op(e2, all_0_75_75) = all_0_27_27 & op(e2, all_0_76_76) = all_0_28_28 & op(e2, all_0_77_77) = all_0_29_29 & op(e2, all_0_78_78) = all_0_30_30 & op(e2, all_0_79_79) = all_0_31_31 & op(e2, all_0_80_80) = all_0_32_32 & op(e2, all_0_81_81) = all_0_33_33 & op(e2, all_0_82_82) = all_0_34_34 & op(e2, all_0_83_83) = all_0_35_35 & op(e2, unit) = e2 & op(e2, e3) = all_0_72_72 & op(e2, e2) = all_0_73_73 & op(e2, e1) = all_0_74_74 & op(e2, e0) = all_0_75_75 & op(e1, all_0_2_2) = unit & op(e1, all_0_68_68) = all_0_36_36 & op(e1, all_0_69_69) = all_0_37_37 & op(e1, all_0_70_70) = all_0_38_38 & op(e1, all_0_71_71) = all_0_39_39 & op(e1, all_0_72_72) = all_0_40_40 & op(e1, all_0_73_73) = all_0_41_41 & op(e1, all_0_74_74) = all_0_42_42 & op(e1, all_0_75_75) = all_0_43_43 & op(e1, all_0_76_76) = all_0_44_44 & op(e1, all_0_77_77) = all_0_45_45 & op(e1, all_0_78_78) = all_0_46_46 & op(e1, all_0_79_79) = all_0_47_47 & op(e1, all_0_80_80) = all_0_48_48 & op(e1, all_0_81_81) = all_0_49_49 & op(e1, all_0_82_82) = all_0_50_50 & op(e1, all_0_83_83) = all_0_51_51 & op(e1, unit) = e1 & op(e1, e3) = all_0_76_76 & op(e1, e2) = all_0_77_77 & op(e1, e1) = all_0_78_78 & op(e1, e0) = all_0_79_79 & op(e0, all_0_3_3) = unit & op(e0, all_0_68_68) = all_0_52_52 & op(e0, all_0_69_69) = all_0_53_53 & op(e0, all_0_70_70) = all_0_54_54 & op(e0, all_0_71_71) = all_0_55_55 & op(e0, all_0_72_72) = all_0_56_56 & op(e0, all_0_73_73) = all_0_57_57 & op(e0, all_0_74_74) = all_0_58_58 & op(e0, all_0_75_75) = all_0_59_59 & op(e0, all_0_76_76) = all_0_60_60 & op(e0, all_0_77_77) = all_0_61_61 & op(e0, all_0_78_78) = all_0_62_62 & op(e0, all_0_79_79) = all_0_63_63 & op(e0, all_0_80_80) = all_0_64_64 & op(e0, all_0_81_81) = all_0_65_65 & op(e0, all_0_82_82) = all_0_66_66 & op(e0, all_0_83_83) = all_0_67_67 & op(e0, unit) = e0 & op(e0, e3) = all_0_80_80 & op(e0, e2) = all_0_81_81 & op(e0, e1) = all_0_82_82 & op(e0, e0) = all_0_83_83 & inv(all_0_0_0) = e3 & inv(all_0_1_1) = e2 & inv(all_0_2_2) = e1 & inv(all_0_3_3) = e0 & inv(unit) = unit & inv(e3) = all_0_0_0 & inv(e2) = all_0_1_1 & inv(e1) = all_0_2_2 & inv(e0) = all_0_3_3 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ( ~ (all_0_0_0 = e2) | all_0_1_1 = e3) & ( ~ (all_0_0_0 = e1) | all_0_2_2 = e3) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_1_1 = e3) | all_0_0_0 = e2) & ( ~ (all_0_1_1 = e1) | all_0_2_2 = e2) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e2) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_2_2 = e2) | all_0_1_1 = e1) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_3_3 = e2) | all_0_1_1 = e0) & ( ~ (all_0_3_3 = e1) | all_0_2_2 = e0) & ( ~ (all_0_68_68 = e2) | ~ (all_0_76_76 = e0)) & ( ~ (all_0_68_68 = e2) | ~ (all_0_80_80 = e1)) & ( ~ (all_0_68_68 = e1) | ~ (all_0_72_72 = e0)) & ( ~ (all_0_68_68 = e1) | ~ (all_0_80_80 = e2)) & ( ~ (all_0_68_68 = e0) | ~ (all_0_72_72 = e1)) & ( ~ (all_0_68_68 = e0) | ~ (all_0_76_76 = e2)) & ( ~ (all_0_69_69 = e1) | ~ (all_0_73_73 = e0)) & ( ~ (all_0_69_69 = e0) | ~ (all_0_73_73 = e1)) & ( ~ (all_0_70_70 = e2) | ~ (all_0_78_78 = e0)) & ( ~ (all_0_70_70 = e0) | ~ (all_0_78_78 = e2)) & ( ~ (all_0_71_71 = e2) | ~ (all_0_83_83 = e1)) & ( ~ (all_0_71_71 = e1) | ~ (all_0_83_83 = e2)) & ( ~ (all_0_73_73 = e3) | ~ (all_0_77_77 = e0)) & ( ~ (all_0_73_73 = e3) | ~ (all_0_81_81 = e1)) & ( ~ (all_0_73_73 = e1) | ~ (all_0_81_81 = e3)) & ( ~ (all_0_73_73 = e0) | ~ (all_0_77_77 = e3)) & ( ~ (all_0_74_74 = e3) | ~ (all_0_78_78 = e0)) & ( ~ (all_0_74_74 = e0) | ~ (all_0_78_78 = e3)) & ( ~ (all_0_75_75 = e3) | ~ (all_0_83_83 = e1)) & ( ~ (all_0_75_75 = e1) | ~ (all_0_83_83 = e3)) & ( ~ (all_0_78_78 = e3) | ~ (all_0_82_82 = e2)) & ( ~ (all_0_78_78 = e2) | ~ (all_0_82_82 = e3)) & ( ~ (all_0_79_79 = e3) | ~ (all_0_83_83 = e2)) & ( ~ (all_0_79_79 = e2) | ~ (all_0_83_83 = e3)) & (all_0_0_0 = e3 | all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0) & (all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e1 | all_0_1_1 = e0) & (all_0_2_2 = e3 | all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0) & (all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e1 | all_0_3_3 = e0) & (all_0_68_68 = e3 | all_0_68_68 = e2 | all_0_68_68 = e1 | all_0_68_68 = e0) & (all_0_69_69 = e3 | all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0) & (all_0_70_70 = e3 | all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0) & (all_0_71_71 = e3 | all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0) & (all_0_72_72 = e3 | all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0) & (all_0_73_73 = e3 | all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0) & (all_0_74_74 = e3 | all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0) & (all_0_75_75 = e3 | all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0) & (all_0_76_76 = e3 | all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0) & (all_0_77_77 = e3 | all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0) & (all_0_78_78 = e3 | all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0) & (all_0_79_79 = e3 | all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0) & (all_0_80_80 = e3 | all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0) & (all_0_81_81 = e3 | all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0) & (all_0_82_82 = e3 | all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0) & (all_0_83_83 = e3 | all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0) & (unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) | (all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0)) % 18.09/4.73 | % 18.09/4.73 | Applying alpha-rule on (1) yields: % 18.09/4.73 | (2) op(e2, all_0_78_78) = all_0_30_30 % 18.09/4.73 | (3) op(e1, all_0_78_78) = all_0_46_46 % 18.09/4.73 | (4) op(e2, all_0_82_82) = all_0_34_34 % 18.09/4.73 | (5) ~ (all_0_77_77 = all_0_79_79) % 18.09/4.73 | (6) ~ (all_0_81_81 = all_0_83_83) % 18.09/4.73 | (7) ~ (all_0_78_78 = all_0_79_79) % 18.09/4.73 | (8) op(e1, all_0_76_76) = all_0_44_44 % 18.09/4.73 | (9) op(all_0_75_75, e2) = all_0_33_33 % 18.09/4.73 | (10) op(e2, all_0_74_74) = all_0_26_26 % 18.09/4.73 | (11) ~ (all_0_77_77 = all_0_81_81) % 18.09/4.73 | (12) ~ (all_0_0_0 = all_0_1_1) % 18.09/4.73 | (13) op(all_0_76_76, e3) = all_0_36_36 % 18.09/4.73 | (14) inv(unit) = unit % 18.09/4.73 | (15) ~ (e2 = e1) % 18.09/4.73 | (16) op(e3, all_0_83_83) = all_0_19_19 % 18.09/4.73 | (17) ~ (all_0_70_70 = all_0_71_71) % 18.09/4.73 | (18) op(all_0_81_81, e0) = all_0_59_59 % 18.09/4.73 | (19) ~ (all_0_70_70 = all_0_78_78) % 18.09/4.73 | (20) ~ (all_0_2_2 = all_0_3_3) % 18.09/4.73 | (21) op(e2, all_0_72_72) = all_0_24_24 % 18.09/4.73 | (22) op(all_0_73_73, e1) = all_0_26_26 % 18.09/4.73 | (23) op(e0, e1) = all_0_82_82 % 18.09/4.73 | (24) ~ (all_0_71_71 = all_0_83_83) % 18.09/4.73 | (25) op(all_0_78_78, e2) = all_0_45_45 % 18.09/4.73 | (26) op(e2, all_0_79_79) = all_0_31_31 % 18.09/4.73 | (27) op(all_0_69_69, e2) = all_0_9_9 % 18.09/4.73 | (28) op(e1, e3) = all_0_76_76 % 18.09/4.73 | (29) op(e2, e3) = all_0_72_72 % 18.09/4.75 | (30) ~ (all_0_1_1 = e1) | all_0_2_2 = e2 % 18.09/4.75 | (31) op(all_0_73_73, e0) = all_0_27_27 % 18.09/4.76 | (32) op(e1, all_0_68_68) = all_0_36_36 % 18.09/4.76 | (33) op(e2, all_0_75_75) = all_0_27_27 % 18.09/4.76 | (34) ~ (all_0_73_73 = e3) | ~ (all_0_81_81 = e1) % 18.09/4.76 | (35) all_0_70_70 = e3 | all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 18.09/4.76 | (36) op(e1, all_0_75_75) = all_0_43_43 % 18.09/4.76 | (37) op(e3, all_0_72_72) = all_0_8_8 % 18.09/4.76 | (38) ~ (all_0_68_68 = e1) | ~ (all_0_80_80 = e2) % 18.09/4.76 | (39) ~ (all_0_2_2 = e2) | all_0_1_1 = e1 % 18.09/4.76 | (40) inv(all_0_3_3) = e0 % 18.09/4.76 | (41) op(all_0_70_70, e0) = all_0_15_15 % 18.09/4.76 | (42) ~ (all_0_82_82 = all_0_83_83) % 18.09/4.76 | (43) op(e1, e1) = all_0_78_78 % 18.09/4.76 | (44) ~ (e3 = e0) % 18.09/4.76 | (45) op(e2, all_0_68_68) = all_0_20_20 % 18.09/4.76 | (46) op(all_0_70_70, e1) = all_0_14_14 % 18.09/4.76 | (47) op(e2, e2) = all_0_73_73 % 18.09/4.76 | (48) all_0_71_71 = e3 | all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 18.09/4.76 | (49) op(e0, all_0_3_3) = unit % 18.09/4.76 | (50) ~ (all_0_73_73 = all_0_74_74) % 18.09/4.76 | (51) op(e3, all_0_77_77) = all_0_13_13 % 18.09/4.76 | (52) op(e0, all_0_74_74) = all_0_58_58 % 18.09/4.76 | (53) op(e3, e3) = all_0_68_68 % 18.09/4.76 | (54) op(e0, all_0_75_75) = all_0_59_59 % 18.09/4.76 | (55) ~ (all_0_74_74 = e3) | ~ (all_0_78_78 = e0) % 18.09/4.76 | (56) op(unit, e3) = e3 % 18.09/4.76 | (57) inv(all_0_2_2) = e1 % 18.09/4.76 | (58) op(all_0_71_71, e1) = all_0_18_18 % 18.09/4.76 | (59) op(all_0_68_68, e0) = all_0_7_7 % 18.09/4.76 | (60) ~ (all_0_70_70 = all_0_74_74) % 18.09/4.76 | (61) op(all_0_0_0, e3) = unit % 18.09/4.76 | (62) op(e3, all_0_75_75) = all_0_11_11 % 18.09/4.76 | (63) op(all_0_74_74, e2) = all_0_29_29 % 18.09/4.76 | (64) op(all_0_83_83, e2) = all_0_65_65 % 18.09/4.76 | (65) op(all_0_72_72, e2) = all_0_21_21 % 18.09/4.76 | (66) op(all_0_78_78, e1) = all_0_46_46 % 18.09/4.76 | (67) ~ (all_0_73_73 = all_0_81_81) % 18.09/4.76 | (68) ~ (all_0_1_1 = e3) | all_0_0_0 = e2 % 18.09/4.76 | (69) op(e2, all_0_71_71) = all_0_23_23 % 18.09/4.76 | (70) op(all_0_81_81, e3) = all_0_56_56 % 18.09/4.76 | (71) ~ (e1 = e0) % 18.09/4.76 | (72) op(e0, all_0_68_68) = all_0_52_52 % 18.09/4.76 | (73) op(e2, all_0_77_77) = all_0_29_29 % 18.09/4.76 | (74) op(e1, all_0_81_81) = all_0_49_49 % 18.09/4.76 | (75) ~ (all_0_68_68 = e2) | ~ (all_0_76_76 = e0) % 18.09/4.76 | (76) op(e2, unit) = e2 % 18.09/4.76 | (77) ~ (all_0_80_80 = all_0_83_83) % 18.09/4.76 | (78) op(e3, all_0_81_81) = all_0_17_17 % 18.09/4.76 | (79) ~ (all_0_0_0 = e1) | all_0_2_2 = e3 % 18.09/4.76 | (80) op(e2, all_0_69_69) = all_0_21_21 % 18.09/4.76 | (81) op(all_0_80_80, e3) = all_0_52_52 % 18.09/4.76 | (82) op(e0, all_0_80_80) = all_0_64_64 % 18.09/4.76 | (83) op(unit, e2) = e2 % 18.09/4.76 | (84) op(e3, all_0_80_80) = all_0_16_16 % 18.09/4.76 | (85) op(all_0_78_78, e3) = all_0_44_44 % 18.09/4.76 | (86) all_0_72_72 = e3 | all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 18.09/4.76 | (87) op(e2, e0) = all_0_75_75 % 18.09/4.76 | (88) ~ (all_0_72_72 = all_0_75_75) % 18.09/4.76 | (89) op(all_0_71_71, e2) = all_0_17_17 % 18.09/4.76 | (90) op(all_0_79_79, e1) = all_0_50_50 % 18.09/4.76 | (91) op(e1, all_0_83_83) = all_0_51_51 % 18.09/4.77 | (92) op(e0, all_0_71_71) = all_0_55_55 % 18.09/4.77 | (93) ~ (all_0_70_70 = e2) | ~ (all_0_78_78 = e0) % 18.09/4.77 | (94) op(all_0_69_69, e1) = all_0_10_10 % 18.09/4.77 | (95) ~ (all_0_80_80 = all_0_82_82) % 18.09/4.77 | (96) ~ (all_0_2_2 = e0) | all_0_3_3 = e1 % 18.09/4.77 | (97) ~ (all_0_68_68 = e2) | ~ (all_0_80_80 = e1) % 18.09/4.77 | (98) ~ (all_0_79_79 = e3) | ~ (all_0_83_83 = e2) % 18.09/4.77 | (99) ~ (all_0_73_73 = all_0_77_77) % 18.09/4.77 | (100) op(unit, e0) = e0 % 18.09/4.77 | (101) all_0_69_69 = e3 | all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 18.09/4.77 | (102) op(e1, all_0_70_70) = all_0_38_38 % 18.09/4.77 | (103) op(e3, all_0_69_69) = all_0_5_5 % 18.09/4.77 | (104) op(all_0_80_80, e2) = all_0_53_53 % 18.09/4.77 | (105) op(e1, all_0_82_82) = all_0_50_50 % 18.09/4.77 | (106) ~ (all_0_72_72 = all_0_73_73) % 18.09/4.77 | (107) ~ (all_0_75_75 = e3) | ~ (all_0_83_83 = e1) % 18.09/4.77 | (108) op(all_0_74_74, e3) = all_0_28_28 % 18.09/4.77 | (109) ~ (all_0_76_76 = all_0_78_78) % 18.09/4.77 | (110) ~ (all_0_71_71 = all_0_79_79) % 18.09/4.77 | (111) op(all_0_83_83, e3) = all_0_64_64 % 18.09/4.77 | (112) all_0_76_76 = e3 | all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 18.09/4.77 | (113) op(e1, e2) = all_0_77_77 % 18.09/4.77 | (114) ~ (all_0_74_74 = e0) | ~ (all_0_78_78 = e3) % 18.09/4.77 | (115) all_0_0_0 = e3 | all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0 % 18.09/4.77 | (116) op(all_0_81_81, e1) = all_0_58_58 % 18.09/4.77 | (117) inv(e0) = all_0_3_3 % 18.09/4.77 | (118) ~ (all_0_69_69 = all_0_81_81) % 18.09/4.77 | (119) all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e1 | all_0_3_3 = e0 % 18.09/4.77 | (120) op(all_0_75_75, e1) = all_0_34_34 % 18.09/4.77 | (121) all_0_2_2 = e3 | all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0 % 18.09/4.77 | (122) ~ (all_0_75_75 = e1) | ~ (all_0_83_83 = e3) % 18.09/4.77 | (123) all_0_82_82 = e3 | all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 18.09/4.77 | (124) op(e1, all_0_80_80) = all_0_48_48 % 18.09/4.77 | (125) unit = e3 | unit = e2 | unit = e1 | unit = e0 % 18.09/4.77 | (126) op(e0, e2) = all_0_81_81 % 18.09/4.77 | (127) inv(all_0_0_0) = e3 % 18.09/4.77 | (128) op(all_0_68_68, e2) = all_0_5_5 % 18.09/4.77 | (129) ~ (e3 = e2) % 18.09/4.77 | (130) ~ (all_0_69_69 = e0) | ~ (all_0_73_73 = e1) % 18.09/4.77 | (131) all_0_68_68 = e3 | all_0_68_68 = e2 | all_0_68_68 = e1 | all_0_68_68 = e0 % 18.09/4.77 | (132) op(e3, all_0_76_76) = all_0_12_12 % 18.09/4.77 | (133) ~ (all_0_74_74 = all_0_82_82) % 18.09/4.77 | (134) op(e3, all_0_79_79) = all_0_15_15 % 18.09/4.77 | (135) op(all_0_73_73, e2) = all_0_25_25 % 18.09/4.77 | (136) op(all_0_83_83, e0) = all_0_67_67 % 18.09/4.77 | (137) op(e3, all_0_74_74) = all_0_10_10 % 18.09/4.77 | (138) op(all_0_72_72, e0) = all_0_23_23 % 18.09/4.77 | (139) all_0_81_81 = e3 | all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 18.09/4.77 | (140) op(e0, all_0_73_73) = all_0_57_57 % 18.09/4.77 | (141) op(all_0_69_69, e3) = all_0_8_8 % 18.09/4.77 | (142) op(e0, all_0_81_81) = all_0_65_65 % 18.09/4.77 | (143) all_0_78_78 = e3 | all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0 % 18.09/4.78 | (144) op(all_0_79_79, e2) = all_0_49_49 % 18.09/4.78 | (145) ~ (all_0_0_0 = all_0_3_3) % 18.09/4.78 | (146) ~ (all_0_78_78 = all_0_82_82) % 18.09/4.78 | (147) op(all_0_68_68, e1) = all_0_6_6 % 18.09/4.78 | (148) ~ (all_0_73_73 = e1) | ~ (all_0_81_81 = e3) % 18.09/4.78 | (149) op(all_0_3_3, e0) = unit % 18.09/4.78 | (150) op(e2, all_0_73_73) = all_0_25_25 % 18.09/4.78 | (151) op(e1, unit) = e1 % 18.09/4.78 | (152) ~ (all_0_69_69 = all_0_70_70) % 18.09/4.78 | (153) ~ (all_0_69_69 = all_0_71_71) % 18.09/4.78 | (154) ~ (all_0_3_3 = e1) | all_0_2_2 = e0 % 18.09/4.78 | (155) ~ (all_0_71_71 = e1) | ~ (all_0_83_83 = e2) % 18.09/4.78 | (156) ~ (all_0_1_1 = e0) | all_0_3_3 = e2 % 18.09/4.78 | (157) op(all_0_82_82, e1) = all_0_62_62 % 18.09/4.78 | (158) inv(e2) = all_0_1_1 % 18.09/4.78 | (159) ~ (all_0_68_68 = all_0_72_72) % 18.09/4.78 | (160) op(all_0_72_72, e1) = all_0_22_22 % 18.09/4.78 | (161) ~ (all_0_1_1 = all_0_3_3) % 18.09/4.78 | (162) op(e3, e1) = all_0_70_70 % 18.09/4.78 | (163) op(e0, unit) = e0 % 18.09/4.78 | (164) ~ (all_0_68_68 = e1) | ~ (all_0_72_72 = e0) % 18.09/4.78 | (165) op(all_0_76_76, e2) = all_0_37_37 % 18.09/4.78 | (166) ~ (all_0_72_72 = all_0_74_74) % 18.09/4.78 | (167) inv(all_0_1_1) = e2 % 18.09/4.78 | (168) op(e0, e3) = all_0_80_80 % 18.09/4.78 | (169) ~ (all_0_71_71 = e2) | ~ (all_0_83_83 = e1) % 18.09/4.78 | (170) op(e2, all_0_80_80) = all_0_32_32 % 18.09/4.78 | (171) ~ (all_0_72_72 = all_0_80_80) % 18.09/4.78 | (172) op(e1, all_0_71_71) = all_0_39_39 % 18.09/4.78 | (173) ~ (all_0_74_74 = all_0_75_75) % 18.09/4.78 | (174) op(e1, all_0_2_2) = unit % 18.09/4.78 | (175) op(e2, all_0_76_76) = all_0_28_28 % 18.09/4.78 | (176) op(all_0_1_1, e2) = unit % 18.09/4.78 | (177) op(e2, all_0_81_81) = all_0_33_33 % 18.09/4.78 | (178) ~ (all_0_70_70 = e0) | ~ (all_0_78_78 = e2) % 18.09/4.78 | (179) ~ (all_0_68_68 = e0) | ~ (all_0_76_76 = e2) % 18.09/4.78 | (180) op(all_0_80_80, e1) = all_0_54_54 % 18.09/4.78 | (181) op(all_0_78_78, e0) = all_0_47_47 % 18.09/4.78 | (182) op(all_0_82_82, e3) = all_0_60_60 % 18.09/4.78 | (183) op(e0, all_0_76_76) = all_0_60_60 % 18.09/4.78 | (184) op(e0, all_0_70_70) = all_0_54_54 % 18.09/4.78 | (185) op(e1, all_0_77_77) = all_0_45_45 % 18.09/4.78 | (186) ~ (all_0_73_73 = e3) | ~ (all_0_77_77 = e0) % 18.48/4.78 | (187) inv(e1) = all_0_2_2 % 18.48/4.78 | (188) op(all_0_70_70, e3) = all_0_12_12 % 18.48/4.78 | (189) op(all_0_81_81, e2) = all_0_57_57 % 18.48/4.78 | (190) op(all_0_82_82, e0) = all_0_63_63 % 18.48/4.78 | (191) op(all_0_76_76, e1) = all_0_38_38 % 18.48/4.78 | (192) ~ (all_0_2_2 = e3) | all_0_0_0 = e1 % 18.48/4.78 | (193) op(all_0_79_79, e3) = all_0_48_48 % 18.48/4.78 | (194) op(all_0_69_69, e0) = all_0_11_11 % 18.48/4.78 | (195) inv(e3) = all_0_0_0 % 18.48/4.78 | (196) ~ (all_0_75_75 = all_0_83_83) % 18.48/4.78 | (197) op(e0, all_0_78_78) = all_0_62_62 % 18.48/4.78 | (198) op(all_0_77_77, e0) = all_0_43_43 % 18.48/4.78 | (199) op(e3, unit) = e3 % 18.48/4.78 | (200) op(all_0_82_82, e2) = all_0_61_61 % 18.48/4.78 | (201) op(all_0_71_71, e0) = all_0_19_19 % 18.48/4.78 | (202) ~ (all_0_69_69 = e1) | ~ (all_0_73_73 = e0) % 18.48/4.78 | (203) ~ (all_0_68_68 = e0) | ~ (all_0_72_72 = e1) % 18.48/4.79 | (204) ~ (all_0_68_68 = all_0_71_71) % 18.48/4.79 | (205) op(all_0_80_80, e0) = all_0_55_55 % 18.48/4.79 | (206) op(all_0_76_76, e0) = all_0_39_39 % 18.48/4.79 | (207) op(e1, all_0_73_73) = all_0_41_41 % 18.48/4.79 | (208) op(all_0_73_73, e3) = all_0_24_24 % 18.48/4.79 | (209) ~ (all_0_1_1 = all_0_2_2) % 18.48/4.79 | (210) op(e2, all_0_70_70) = all_0_22_22 % 18.48/4.79 | (211) op(e2, all_0_83_83) = all_0_35_35 % 18.48/4.79 | (212) op(e3, all_0_82_82) = all_0_18_18 % 18.48/4.79 | (213) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) % 18.48/4.79 | (214) ~ (e3 = e1) % 18.48/4.79 | (215) op(e0, e0) = all_0_83_83 % 18.48/4.79 | (216) op(all_0_77_77, e1) = all_0_42_42 % 18.48/4.79 | (217) op(all_0_79_79, e0) = all_0_51_51 % 18.48/4.79 | (218) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 18.48/4.79 | (219) ~ (all_0_77_77 = all_0_78_78) % 18.48/4.79 | (220) ~ (all_0_69_69 = all_0_73_73) % 18.48/4.79 | (221) ~ (all_0_75_75 = all_0_79_79) % 18.48/4.79 | (222) op(all_0_77_77, e2) = all_0_41_41 % 18.48/4.79 | (223) op(e0, all_0_79_79) = all_0_63_63 % 18.48/4.79 | (224) op(e3, e2) = all_0_69_69 % 18.48/4.79 | (225) ~ (all_0_69_69 = all_0_77_77) % 18.48/4.79 | (226) ~ (all_0_79_79 = e2) | ~ (all_0_83_83 = e3) % 18.48/4.79 | (227) ~ (all_0_81_81 = all_0_82_82) % 18.48/4.79 | (228) ~ (all_0_76_76 = all_0_77_77) % 18.48/4.79 | (229) ~ (all_0_73_73 = e0) | ~ (all_0_77_77 = e3) % 18.48/4.79 | (230) op(unit, e1) = e1 % 18.48/4.79 | (231) op(all_0_75_75, e3) = all_0_32_32 % 18.48/4.79 | (232) op(e0, all_0_82_82) = all_0_66_66 % 18.48/4.79 | (233) op(e3, all_0_78_78) = all_0_14_14 % 18.48/4.79 | (234) op(e2, all_0_1_1) = unit % 18.48/4.79 | (235) op(e3, all_0_73_73) = all_0_9_9 % 18.48/4.79 | (236) ~ (all_0_0_0 = e0) | all_0_3_3 = e3 % 18.48/4.79 | (237) all_0_77_77 = e3 | all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.79 | (238) all_0_80_80 = e3 | all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 18.48/4.79 | (239) all_0_79_79 = e3 | all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.79 | (240) ~ (all_0_0_0 = all_0_2_2) % 18.48/4.79 | (241) all_0_73_73 = e3 | all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0 % 18.48/4.79 | (242) op(e1, e0) = all_0_79_79 % 18.48/4.79 | (243) ~ (all_0_68_68 = all_0_80_80) % 18.48/4.79 | (244) ~ (all_0_80_80 = all_0_81_81) % 18.48/4.79 | (245) op(all_0_71_71, e3) = all_0_16_16 % 18.48/4.79 | (246) op(e3, e0) = all_0_71_71 % 18.48/4.79 | (247) op(e2, e1) = all_0_74_74 % 18.48/4.79 | (248) op(e3, all_0_0_0) = unit % 18.48/4.79 | (249) op(e0, all_0_69_69) = all_0_53_53 % 18.48/4.79 | (250) ~ (all_0_79_79 = all_0_83_83) % 18.48/4.79 | (251) ~ (all_0_71_71 = all_0_75_75) % 18.48/4.79 | (252) op(e0, all_0_72_72) = all_0_56_56 % 18.48/4.79 | (253) all_0_75_75 = e3 | all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 18.48/4.79 | (254) op(e3, all_0_70_70) = all_0_6_6 % 18.48/4.79 | (255) op(all_0_68_68, e3) = all_0_4_4 % 18.48/4.79 | (256) op(all_0_74_74, e1) = all_0_30_30 % 18.48/4.79 | (257) op(all_0_2_2, e1) = unit % 18.48/4.79 | (258) ~ (all_0_76_76 = all_0_80_80) % 18.48/4.79 | (259) ~ (all_0_68_68 = all_0_70_70) % 18.48/4.79 | (260) all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e1 | all_0_1_1 = e0 % 18.48/4.79 | (261) op(e1, all_0_69_69) = all_0_37_37 % 18.48/4.79 | (262) ~ (e2 = e0) % 18.48/4.79 | (263) op(e1, all_0_72_72) = all_0_40_40 % 18.48/4.79 | (264) ~ (all_0_76_76 = all_0_79_79) % 18.48/4.79 | (265) ~ (all_0_70_70 = all_0_82_82) % 18.48/4.79 | (266) op(all_0_75_75, e0) = all_0_35_35 % 18.48/4.79 | (267) ~ (all_0_72_72 = all_0_76_76) % 18.48/4.79 | (268) op(all_0_74_74, e0) = all_0_31_31 % 18.48/4.79 | (269) op(e1, all_0_74_74) = all_0_42_42 % 18.48/4.79 | (270) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) | (all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0) % 18.48/4.79 | (271) ~ (all_0_74_74 = all_0_78_78) % 18.48/4.79 | (272) op(e0, all_0_83_83) = all_0_67_67 % 18.48/4.79 | (273) ~ (all_0_73_73 = all_0_75_75) % 18.48/4.79 | (274) op(all_0_83_83, e1) = all_0_66_66 % 18.48/4.79 | (275) ~ (all_0_68_68 = all_0_69_69) % 18.48/4.79 | (276) op(e0, all_0_77_77) = all_0_61_61 % 18.48/4.80 | (277) ~ (all_0_78_78 = e3) | ~ (all_0_82_82 = e2) % 18.48/4.80 | (278) ~ (all_0_78_78 = e2) | ~ (all_0_82_82 = e3) % 18.48/4.80 | (279) ~ (all_0_0_0 = e2) | all_0_1_1 = e3 % 18.48/4.80 | (280) op(e3, all_0_71_71) = all_0_7_7 % 18.48/4.80 | (281) op(e3, all_0_68_68) = all_0_4_4 % 18.48/4.80 | (282) all_0_74_74 = e3 | all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 18.48/4.80 | (283) op(e1, all_0_79_79) = all_0_47_47 % 18.48/4.80 | (284) op(all_0_70_70, e2) = all_0_13_13 % 18.48/4.80 | (285) ~ (all_0_3_3 = e2) | all_0_1_1 = e0 % 18.48/4.80 | (286) ~ (all_0_3_3 = e3) | all_0_0_0 = e0 % 18.48/4.80 | (287) op(all_0_72_72, e3) = all_0_20_20 % 18.48/4.80 | (288) all_0_83_83 = e3 | all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0 % 18.48/4.80 | (289) ~ (all_0_68_68 = all_0_76_76) % 18.48/4.80 | (290) op(all_0_77_77, e3) = all_0_40_40 % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (98), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (291) ~ (all_0_79_79 = e3) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (114), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (292) ~ (all_0_74_74 = e0) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (277), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (293) ~ (all_0_78_78 = e3) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (155), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (294) ~ (all_0_71_71 = e1) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (278), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (295) ~ (all_0_78_78 = e2) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (93), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (296) ~ (all_0_70_70 = e2) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (226), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (297) ~ (all_0_79_79 = e2) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (130), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (298) ~ (all_0_69_69 = e0) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (79), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (299) ~ (all_0_0_0 = e1) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (68), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (300) ~ (all_0_1_1 = e3) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (279), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (301) ~ (all_0_0_0 = e2) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (30), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (302) ~ (all_0_1_1 = e1) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (39), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (303) ~ (all_0_2_2 = e2) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (236), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (304) ~ (all_0_0_0 = e0) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (115), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (305) all_0_0_0 = e3 % 18.48/4.80 | % 18.48/4.80 | Equations (305) can reduce 299 to: % 18.48/4.80 | (214) ~ (e3 = e1) % 18.48/4.80 | % 18.48/4.80 | From (305) and (248) follows: % 18.48/4.80 | (307) op(e3, e3) = unit % 18.48/4.80 | % 18.48/4.80 | Instantiating formula (218) with e3, e3, unit, all_0_68_68 and discharging atoms op(e3, e3) = all_0_68_68, op(e3, e3) = unit, yields: % 18.48/4.80 | (308) all_0_68_68 = unit % 18.48/4.80 | % 18.48/4.80 | Equations (308) can reduce 275 to: % 18.48/4.80 | (309) ~ (all_0_69_69 = unit) % 18.48/4.80 | % 18.48/4.80 | Simplifying 309 yields: % 18.48/4.80 | (310) ~ (all_0_69_69 = unit) % 18.48/4.80 | % 18.48/4.80 | Equations (308) can reduce 159 to: % 18.48/4.80 | (311) ~ (all_0_72_72 = unit) % 18.48/4.80 | % 18.48/4.80 | Simplifying 311 yields: % 18.48/4.80 | (312) ~ (all_0_72_72 = unit) % 18.48/4.80 | % 18.48/4.80 | Equations (308) can reduce 289 to: % 18.48/4.80 | (313) ~ (all_0_76_76 = unit) % 18.48/4.80 | % 18.48/4.80 | Simplifying 313 yields: % 18.48/4.80 | (314) ~ (all_0_76_76 = unit) % 18.48/4.80 | % 18.48/4.80 | Equations (308) can reduce 243 to: % 18.48/4.80 | (315) ~ (all_0_80_80 = unit) % 18.48/4.80 | % 18.48/4.80 | Simplifying 315 yields: % 18.48/4.80 | (316) ~ (all_0_80_80 = unit) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (38), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (317) ~ (all_0_68_68 = e1) % 18.48/4.80 | % 18.48/4.80 | Equations (308) can reduce 317 to: % 18.48/4.80 | (318) ~ (unit = e1) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.80 | % 18.48/4.80 | Applying alpha-rule on (321) yields: % 18.48/4.80 | (322) all_0_68_68 = e3 % 18.48/4.80 | (323) all_0_73_73 = e3 % 18.48/4.80 | (324) all_0_78_78 = e3 % 18.48/4.80 | (325) all_0_83_83 = e3 % 18.48/4.80 | % 18.48/4.80 | Equations (324) can reduce 293 to: % 18.48/4.80 | (326) $false % 18.48/4.80 | % 18.48/4.80 |-The branch is then unsatisfiable % 18.48/4.80 |-Branch two: % 18.48/4.80 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.80 | % 18.48/4.80 | Applying alpha-rule on (327) yields: % 18.48/4.80 | (328) all_0_68_68 = e2 % 18.48/4.80 | (329) all_0_73_73 = e2 % 18.48/4.80 | (330) all_0_78_78 = e2 % 18.48/4.80 | (331) all_0_83_83 = e2 % 18.48/4.80 | % 18.48/4.80 | Equations (330) can reduce 295 to: % 18.48/4.80 | (326) $false % 18.48/4.80 | % 18.48/4.80 |-The branch is then unsatisfiable % 18.48/4.80 |-Branch two: % 18.48/4.80 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.48/4.80 | % 18.48/4.80 | Applying alpha-rule on (333) yields: % 18.48/4.80 | (334) all_0_68_68 = e1 % 18.48/4.80 | (335) all_0_73_73 = e1 % 18.48/4.80 | (336) all_0_78_78 = e1 % 18.48/4.80 | (337) all_0_83_83 = e1 % 18.48/4.80 | % 18.48/4.80 | Combining equations (334,308) yields a new equation: % 18.48/4.80 | (338) unit = e1 % 18.48/4.80 | % 18.48/4.80 | Equations (338) can reduce 318 to: % 18.48/4.80 | (326) $false % 18.48/4.80 | % 18.48/4.80 |-The branch is then unsatisfiable % 18.48/4.80 |-Branch two: % 18.48/4.80 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.48/4.80 | % 18.48/4.80 | Applying alpha-rule on (340) yields: % 18.48/4.80 | (341) all_0_68_68 = e0 % 18.48/4.80 | (342) all_0_73_73 = e0 % 18.48/4.80 | (343) all_0_78_78 = e0 % 18.48/4.80 | (344) all_0_83_83 = e0 % 18.48/4.80 | % 18.48/4.80 | Combining equations (341,308) yields a new equation: % 18.48/4.80 | (345) unit = e0 % 18.48/4.80 | % 18.48/4.80 | Combining equations (345,308) yields a new equation: % 18.48/4.80 | (341) all_0_68_68 = e0 % 18.48/4.80 | % 18.48/4.80 | Equations (345) can reduce 310 to: % 18.48/4.80 | (298) ~ (all_0_69_69 = e0) % 18.48/4.80 | % 18.48/4.80 | Equations (345) can reduce 312 to: % 18.48/4.80 | (348) ~ (all_0_72_72 = e0) % 18.48/4.80 | % 18.48/4.80 | Equations (345) can reduce 314 to: % 18.48/4.80 | (349) ~ (all_0_76_76 = e0) % 18.48/4.80 | % 18.48/4.80 | Equations (343) can reduce 219 to: % 18.48/4.80 | (350) ~ (all_0_77_77 = e0) % 18.48/4.80 | % 18.48/4.80 | Equations (344) can reduce 250 to: % 18.48/4.80 | (351) ~ (all_0_79_79 = e0) % 18.48/4.80 | % 18.48/4.80 | Equations (345) can reduce 316 to: % 18.48/4.80 | (352) ~ (all_0_80_80 = e0) % 18.48/4.80 | % 18.48/4.80 | Equations (344) can reduce 6 to: % 18.48/4.80 | (353) ~ (all_0_81_81 = e0) % 18.48/4.80 | % 18.48/4.80 +-Applying beta-rule and splitting (179), into two cases. % 18.48/4.80 |-Branch one: % 18.48/4.80 | (354) ~ (all_0_68_68 = e0) % 18.48/4.80 | % 18.48/4.81 | Equations (341) can reduce 354 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (341) all_0_68_68 = e0 % 18.48/4.81 | (357) ~ (all_0_76_76 = e2) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (203), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (354) ~ (all_0_68_68 = e0) % 18.48/4.81 | % 18.48/4.81 | Equations (341) can reduce 354 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (341) all_0_68_68 = e0 % 18.48/4.81 | (361) ~ (all_0_72_72 = e1) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (229), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (362) ~ (all_0_73_73 = e0) % 18.48/4.81 | % 18.48/4.81 | Equations (342) can reduce 362 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (342) all_0_73_73 = e0 % 18.48/4.81 | (365) ~ (all_0_77_77 = e3) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (202), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (366) ~ (all_0_69_69 = e1) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (239), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (367) all_0_79_79 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (367) can reduce 291 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (291) ~ (all_0_79_79 = e3) % 18.48/4.81 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (370), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (371) all_0_79_79 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (371) can reduce 297 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (297) ~ (all_0_79_79 = e2) % 18.48/4.81 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (374), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (375) all_0_79_79 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (375) can reduce 264 to: % 18.48/4.81 | (376) ~ (all_0_76_76 = e1) % 18.48/4.81 | % 18.48/4.81 | Equations (375) can reduce 5 to: % 18.48/4.81 | (377) ~ (all_0_77_77 = e1) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (112), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (378) all_0_76_76 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (378) can reduce 267 to: % 18.48/4.81 | (379) ~ (all_0_72_72 = e3) % 18.48/4.81 | % 18.48/4.81 | Equations (378) can reduce 228 to: % 18.48/4.81 | (380) ~ (all_0_77_77 = e3) % 18.48/4.81 | % 18.48/4.81 | Simplifying 380 yields: % 18.48/4.81 | (365) ~ (all_0_77_77 = e3) % 18.48/4.81 | % 18.48/4.81 | Equations (378) can reduce 258 to: % 18.48/4.81 | (382) ~ (all_0_80_80 = e3) % 18.48/4.81 | % 18.48/4.81 | Simplifying 382 yields: % 18.48/4.81 | (383) ~ (all_0_80_80 = e3) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (237), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (384) all_0_77_77 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (384) can reduce 365 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (365) ~ (all_0_77_77 = e3) % 18.48/4.81 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (387), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (388) all_0_77_77 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (388) can reduce 225 to: % 18.48/4.81 | (389) ~ (all_0_69_69 = e2) % 18.48/4.81 | % 18.48/4.81 | Equations (388) can reduce 11 to: % 18.48/4.81 | (390) ~ (all_0_81_81 = e2) % 18.48/4.81 | % 18.48/4.81 | Simplifying 390 yields: % 18.48/4.81 | (391) ~ (all_0_81_81 = e2) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (86), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (392) all_0_72_72 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (392) can reduce 379 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (379) ~ (all_0_72_72 = e3) % 18.48/4.81 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (101), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (396) all_0_69_69 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (396) can reduce 118 to: % 18.48/4.81 | (397) ~ (all_0_81_81 = e3) % 18.48/4.81 | % 18.48/4.81 | Simplifying 397 yields: % 18.48/4.81 | (398) ~ (all_0_81_81 = e3) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (139), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (399) all_0_81_81 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (399) can reduce 398 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (398) ~ (all_0_81_81 = e3) % 18.48/4.81 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (395), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (403) all_0_72_72 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (403) can reduce 171 to: % 18.48/4.81 | (404) ~ (all_0_80_80 = e2) % 18.48/4.81 | % 18.48/4.81 | Simplifying 404 yields: % 18.48/4.81 | (405) ~ (all_0_80_80 = e2) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (238), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (406) all_0_80_80 = e3 % 18.48/4.81 | % 18.48/4.81 | Equations (406) can reduce 383 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (383) ~ (all_0_80_80 = e3) % 18.48/4.81 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (402), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (410) all_0_81_81 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (410) can reduce 391 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (391) ~ (all_0_81_81 = e2) % 18.48/4.81 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (409), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (414) all_0_80_80 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (414) can reduce 405 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (405) ~ (all_0_80_80 = e2) % 18.48/4.81 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (413), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (418) all_0_81_81 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (418) can reduce 244 to: % 18.48/4.81 | (419) ~ (all_0_80_80 = e1) % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (417), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (420) all_0_80_80 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (420) can reduce 419 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (419) ~ (all_0_80_80 = e1) % 18.48/4.81 | (423) all_0_80_80 = e0 % 18.48/4.81 | % 18.48/4.81 | Equations (423) can reduce 352 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (425) ~ (all_0_81_81 = e1) % 18.48/4.81 | (426) all_0_81_81 = e0 % 18.48/4.81 | % 18.48/4.81 | Equations (426) can reduce 353 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (428) ~ (all_0_72_72 = e2) % 18.48/4.81 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (429), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (430) all_0_72_72 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (430) can reduce 361 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (361) ~ (all_0_72_72 = e1) % 18.48/4.81 | (433) all_0_72_72 = e0 % 18.48/4.81 | % 18.48/4.81 | Equations (433) can reduce 348 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (435) ~ (all_0_69_69 = e3) % 18.48/4.81 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (436), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (437) all_0_69_69 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (437) can reduce 389 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (389) ~ (all_0_69_69 = e2) % 18.48/4.81 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (440), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (441) all_0_69_69 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (441) can reduce 366 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (366) ~ (all_0_69_69 = e1) % 18.48/4.81 | (444) all_0_69_69 = e0 % 18.48/4.81 | % 18.48/4.81 | Equations (444) can reduce 298 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (446) ~ (all_0_77_77 = e2) % 18.48/4.81 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (447), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (448) all_0_77_77 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (448) can reduce 377 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (377) ~ (all_0_77_77 = e1) % 18.48/4.81 | (451) all_0_77_77 = e0 % 18.48/4.81 | % 18.48/4.81 | Equations (451) can reduce 350 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (453) ~ (all_0_76_76 = e3) % 18.48/4.81 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (454), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (455) all_0_76_76 = e2 % 18.48/4.81 | % 18.48/4.81 | Equations (455) can reduce 357 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (357) ~ (all_0_76_76 = e2) % 18.48/4.81 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 18.48/4.81 | % 18.48/4.81 +-Applying beta-rule and splitting (458), into two cases. % 18.48/4.81 |-Branch one: % 18.48/4.81 | (459) all_0_76_76 = e1 % 18.48/4.81 | % 18.48/4.81 | Equations (459) can reduce 376 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.81 |-Branch two: % 18.48/4.81 | (376) ~ (all_0_76_76 = e1) % 18.48/4.81 | (462) all_0_76_76 = e0 % 18.48/4.81 | % 18.48/4.81 | Equations (462) can reduce 349 to: % 18.48/4.81 | (326) $false % 18.48/4.81 | % 18.48/4.81 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (464) ~ (all_0_79_79 = e1) % 18.48/4.82 | (465) all_0_79_79 = e0 % 18.48/4.82 | % 18.48/4.82 | Equations (465) can reduce 351 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (441) all_0_69_69 = e1 % 18.48/4.82 | (362) ~ (all_0_73_73 = e0) % 18.48/4.82 | % 18.48/4.82 | Equations (342) can reduce 362 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (334) all_0_68_68 = e1 % 18.48/4.82 | (405) ~ (all_0_80_80 = e2) % 18.48/4.82 | % 18.48/4.82 | Combining equations (334,308) yields a new equation: % 18.48/4.82 | (338) unit = e1 % 18.48/4.82 | % 18.48/4.82 | Combining equations (338,308) yields a new equation: % 18.48/4.82 | (334) all_0_68_68 = e1 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (164), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (317) ~ (all_0_68_68 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (334) can reduce 317 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (334) all_0_68_68 = e1 % 18.48/4.82 | (348) ~ (all_0_72_72 = e0) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.82 | % 18.48/4.82 | Applying alpha-rule on (321) yields: % 18.48/4.82 | (322) all_0_68_68 = e3 % 18.48/4.82 | (323) all_0_73_73 = e3 % 18.48/4.82 | (324) all_0_78_78 = e3 % 18.48/4.82 | (325) all_0_83_83 = e3 % 18.48/4.82 | % 18.48/4.82 | Combining equations (322,334) yields a new equation: % 18.48/4.82 | (485) e3 = e1 % 18.48/4.82 | % 18.48/4.82 | Simplifying 485 yields: % 18.48/4.82 | (486) e3 = e1 % 18.48/4.82 | % 18.48/4.82 | Equations (486) can reduce 214 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.82 | % 18.48/4.82 | Applying alpha-rule on (327) yields: % 18.48/4.82 | (328) all_0_68_68 = e2 % 18.48/4.82 | (329) all_0_73_73 = e2 % 18.48/4.82 | (330) all_0_78_78 = e2 % 18.48/4.82 | (331) all_0_83_83 = e2 % 18.48/4.82 | % 18.48/4.82 | Combining equations (328,334) yields a new equation: % 18.48/4.82 | (493) e2 = e1 % 18.48/4.82 | % 18.48/4.82 | Simplifying 493 yields: % 18.48/4.82 | (494) e2 = e1 % 18.48/4.82 | % 18.48/4.82 | Equations (494) can reduce 15 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.48/4.82 | % 18.48/4.82 | Applying alpha-rule on (333) yields: % 18.48/4.82 | (334) all_0_68_68 = e1 % 18.48/4.82 | (335) all_0_73_73 = e1 % 18.48/4.82 | (336) all_0_78_78 = e1 % 18.48/4.82 | (337) all_0_83_83 = e1 % 18.48/4.82 | % 18.48/4.82 | Equations (335) can reduce 220 to: % 18.48/4.82 | (366) ~ (all_0_69_69 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (337) can reduce 24 to: % 18.48/4.82 | (294) ~ (all_0_71_71 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (335) can reduce 106 to: % 18.48/4.82 | (361) ~ (all_0_72_72 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (336) can reduce 109 to: % 18.48/4.82 | (376) ~ (all_0_76_76 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (336) can reduce 219 to: % 18.48/4.82 | (377) ~ (all_0_77_77 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (337) can reduce 250 to: % 18.48/4.82 | (464) ~ (all_0_79_79 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (337) can reduce 77 to: % 18.48/4.82 | (419) ~ (all_0_80_80 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (337) can reduce 6 to: % 18.48/4.82 | (425) ~ (all_0_81_81 = e1) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (169), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (509) ~ (all_0_71_71 = e2) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (239), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (367) all_0_79_79 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (367) can reduce 291 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (291) ~ (all_0_79_79 = e3) % 18.48/4.82 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (148), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (514) ~ (all_0_73_73 = e1) % 18.48/4.82 | % 18.48/4.82 | Equations (335) can reduce 514 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (335) all_0_73_73 = e1 % 18.48/4.82 | (398) ~ (all_0_81_81 = e3) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (370), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (371) all_0_79_79 = e2 % 18.48/4.82 | % 18.48/4.82 | Equations (371) can reduce 297 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (297) ~ (all_0_79_79 = e2) % 18.48/4.82 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (374), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (375) all_0_79_79 = e1 % 18.48/4.82 | % 18.48/4.82 | Equations (375) can reduce 464 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (464) ~ (all_0_79_79 = e1) % 18.48/4.82 | (465) all_0_79_79 = e0 % 18.48/4.82 | % 18.48/4.82 | Equations (465) can reduce 110 to: % 18.48/4.82 | (526) ~ (all_0_71_71 = e0) % 18.48/4.82 | % 18.48/4.82 | Equations (465) can reduce 264 to: % 18.48/4.82 | (349) ~ (all_0_76_76 = e0) % 18.48/4.82 | % 18.48/4.82 | Equations (465) can reduce 5 to: % 18.48/4.82 | (350) ~ (all_0_77_77 = e0) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (48), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (529) all_0_71_71 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (529) can reduce 153 to: % 18.48/4.82 | (435) ~ (all_0_69_69 = e3) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (101), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (396) all_0_69_69 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (396) can reduce 435 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (435) ~ (all_0_69_69 = e3) % 18.48/4.82 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (436), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (437) all_0_69_69 = e2 % 18.48/4.82 | % 18.48/4.82 | Equations (437) can reduce 225 to: % 18.48/4.82 | (536) ~ (all_0_77_77 = e2) % 18.48/4.82 | % 18.48/4.82 | Simplifying 536 yields: % 18.48/4.82 | (446) ~ (all_0_77_77 = e2) % 18.48/4.82 | % 18.48/4.82 | Equations (437) can reduce 118 to: % 18.48/4.82 | (390) ~ (all_0_81_81 = e2) % 18.48/4.82 | % 18.48/4.82 | Simplifying 390 yields: % 18.48/4.82 | (391) ~ (all_0_81_81 = e2) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (139), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (399) all_0_81_81 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (399) can reduce 398 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (398) ~ (all_0_81_81 = e3) % 18.48/4.82 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (237), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (384) all_0_77_77 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (384) can reduce 228 to: % 18.48/4.82 | (453) ~ (all_0_76_76 = e3) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (86), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (392) all_0_72_72 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (392) can reduce 171 to: % 18.48/4.82 | (382) ~ (all_0_80_80 = e3) % 18.48/4.82 | % 18.48/4.82 | Simplifying 382 yields: % 18.48/4.82 | (383) ~ (all_0_80_80 = e3) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (238), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (406) all_0_80_80 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (406) can reduce 383 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (383) ~ (all_0_80_80 = e3) % 18.48/4.82 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (402), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (410) all_0_81_81 = e2 % 18.48/4.82 | % 18.48/4.82 | Equations (410) can reduce 391 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (391) ~ (all_0_81_81 = e2) % 18.48/4.82 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (413), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (418) all_0_81_81 = e1 % 18.48/4.82 | % 18.48/4.82 | Equations (418) can reduce 425 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (425) ~ (all_0_81_81 = e1) % 18.48/4.82 | (426) all_0_81_81 = e0 % 18.48/4.82 | % 18.48/4.82 | Equations (426) can reduce 244 to: % 18.48/4.82 | (352) ~ (all_0_80_80 = e0) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (409), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (414) all_0_80_80 = e2 % 18.48/4.82 | % 18.48/4.82 | Equations (414) can reduce 405 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (405) ~ (all_0_80_80 = e2) % 18.48/4.82 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (417), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (420) all_0_80_80 = e1 % 18.48/4.82 | % 18.48/4.82 | Equations (420) can reduce 419 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (419) ~ (all_0_80_80 = e1) % 18.48/4.82 | (423) all_0_80_80 = e0 % 18.48/4.82 | % 18.48/4.82 | Equations (423) can reduce 352 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (379) ~ (all_0_72_72 = e3) % 18.48/4.82 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (112), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (378) all_0_76_76 = e3 % 18.48/4.82 | % 18.48/4.82 | Equations (378) can reduce 453 to: % 18.48/4.82 | (326) $false % 18.48/4.82 | % 18.48/4.82 |-The branch is then unsatisfiable % 18.48/4.82 |-Branch two: % 18.48/4.82 | (453) ~ (all_0_76_76 = e3) % 18.48/4.82 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (454), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (455) all_0_76_76 = e2 % 18.48/4.82 | % 18.48/4.82 | Equations (455) can reduce 267 to: % 18.48/4.82 | (428) ~ (all_0_72_72 = e2) % 18.48/4.82 | % 18.48/4.82 +-Applying beta-rule and splitting (395), into two cases. % 18.48/4.82 |-Branch one: % 18.48/4.82 | (403) all_0_72_72 = e2 % 18.48/4.82 | % 18.48/4.83 | Equations (403) can reduce 428 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (428) ~ (all_0_72_72 = e2) % 18.48/4.83 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (429), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (430) all_0_72_72 = e1 % 18.48/4.83 | % 18.48/4.83 | Equations (430) can reduce 361 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (361) ~ (all_0_72_72 = e1) % 18.48/4.83 | (433) all_0_72_72 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (433) can reduce 348 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (357) ~ (all_0_76_76 = e2) % 18.48/4.83 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (458), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (459) all_0_76_76 = e1 % 18.48/4.83 | % 18.48/4.83 | Equations (459) can reduce 376 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (376) ~ (all_0_76_76 = e1) % 18.48/4.83 | (462) all_0_76_76 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (462) can reduce 349 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (365) ~ (all_0_77_77 = e3) % 18.48/4.83 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (387), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (388) all_0_77_77 = e2 % 18.48/4.83 | % 18.48/4.83 | Equations (388) can reduce 446 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (446) ~ (all_0_77_77 = e2) % 18.48/4.83 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (447), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (448) all_0_77_77 = e1 % 18.48/4.83 | % 18.48/4.83 | Equations (448) can reduce 377 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (377) ~ (all_0_77_77 = e1) % 18.48/4.83 | (451) all_0_77_77 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (451) can reduce 350 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (389) ~ (all_0_69_69 = e2) % 18.48/4.83 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (440), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (441) all_0_69_69 = e1 % 18.48/4.83 | % 18.48/4.83 | Equations (441) can reduce 366 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (366) ~ (all_0_69_69 = e1) % 18.48/4.83 | (444) all_0_69_69 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (444) can reduce 298 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (613) ~ (all_0_71_71 = e3) % 18.48/4.83 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (614), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (615) all_0_71_71 = e2 % 18.48/4.83 | % 18.48/4.83 | Equations (615) can reduce 509 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (509) ~ (all_0_71_71 = e2) % 18.48/4.83 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (618), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (619) all_0_71_71 = e1 % 18.48/4.83 | % 18.48/4.83 | Equations (619) can reduce 294 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (294) ~ (all_0_71_71 = e1) % 18.48/4.83 | (622) all_0_71_71 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (622) can reduce 526 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (615) all_0_71_71 = e2 % 18.48/4.83 | (625) ~ (all_0_83_83 = e1) % 18.48/4.83 | % 18.48/4.83 | Equations (337) can reduce 625 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.48/4.83 | % 18.48/4.83 | Applying alpha-rule on (340) yields: % 18.48/4.83 | (341) all_0_68_68 = e0 % 18.48/4.83 | (342) all_0_73_73 = e0 % 18.48/4.83 | (343) all_0_78_78 = e0 % 18.48/4.83 | (344) all_0_83_83 = e0 % 18.48/4.83 | % 18.48/4.83 | Combining equations (341,334) yields a new equation: % 18.48/4.83 | (632) e1 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (632) can reduce 71 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (634) ~ (all_0_0_0 = e3) % 18.48/4.83 | (635) all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (635), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (636) all_0_0_0 = e2 % 18.48/4.83 | % 18.48/4.83 | Equations (636) can reduce 301 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (301) ~ (all_0_0_0 = e2) % 18.48/4.83 | (639) all_0_0_0 = e1 | all_0_0_0 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (639), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (640) all_0_0_0 = e1 % 18.48/4.83 | % 18.48/4.83 | Equations (640) can reduce 299 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (299) ~ (all_0_0_0 = e1) % 18.48/4.83 | (643) all_0_0_0 = e0 % 18.48/4.83 | % 18.48/4.83 | Equations (643) can reduce 304 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (643) all_0_0_0 = e0 % 18.48/4.83 | (646) all_0_3_3 = e3 % 18.48/4.83 | % 18.48/4.83 | Equations (643) can reduce 240 to: % 18.48/4.83 | (647) ~ (all_0_2_2 = e0) % 18.48/4.83 | % 18.48/4.83 | Simplifying 647 yields: % 18.48/4.83 | (648) ~ (all_0_2_2 = e0) % 18.48/4.83 | % 18.48/4.83 | Equations (646) can reduce 20 to: % 18.48/4.83 | (649) ~ (all_0_2_2 = e3) % 18.48/4.83 | % 18.48/4.83 | From (643) and (248) follows: % 18.48/4.83 | (650) op(e3, e0) = unit % 18.48/4.83 | % 18.48/4.83 | From (646) and (49) follows: % 18.48/4.83 | (651) op(e0, e3) = unit % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (121), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (652) all_0_2_2 = e3 % 18.48/4.83 | % 18.48/4.83 | Equations (652) can reduce 649 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (649) ~ (all_0_2_2 = e3) % 18.48/4.83 | (655) all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (655), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (656) all_0_2_2 = e2 % 18.48/4.83 | % 18.48/4.83 | Equations (656) can reduce 303 to: % 18.48/4.83 | (326) $false % 18.48/4.83 | % 18.48/4.83 |-The branch is then unsatisfiable % 18.48/4.83 |-Branch two: % 18.48/4.83 | (303) ~ (all_0_2_2 = e2) % 18.48/4.83 | (659) all_0_2_2 = e1 | all_0_2_2 = e0 % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (659), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (660) all_0_2_2 = e1 % 18.48/4.83 | % 18.48/4.83 | From (660) and (174) follows: % 18.48/4.83 | (661) op(e1, e1) = unit % 18.48/4.83 | % 18.48/4.83 | Instantiating formula (218) with e3, e0, unit, all_0_71_71 and discharging atoms op(e3, e0) = all_0_71_71, op(e3, e0) = unit, yields: % 18.48/4.83 | (662) all_0_71_71 = unit % 18.48/4.83 | % 18.48/4.83 | Instantiating formula (218) with e1, e1, unit, all_0_78_78 and discharging atoms op(e1, e1) = all_0_78_78, op(e1, e1) = unit, yields: % 18.48/4.83 | (663) all_0_78_78 = unit % 18.48/4.83 | % 18.48/4.83 | Instantiating formula (218) with e0, e3, unit, all_0_80_80 and discharging atoms op(e0, e3) = all_0_80_80, op(e0, e3) = unit, yields: % 18.48/4.83 | (664) all_0_80_80 = unit % 18.48/4.83 | % 18.48/4.83 | Equations (662) can reduce 294 to: % 18.48/4.83 | (318) ~ (unit = e1) % 18.48/4.83 | % 18.48/4.83 | Equations (663) can reduce 293 to: % 18.48/4.83 | (666) ~ (unit = e3) % 18.48/4.83 | % 18.48/4.83 | Equations (663) can reduce 295 to: % 18.48/4.83 | (667) ~ (unit = e2) % 18.48/4.83 | % 18.48/4.83 | Equations (664) can reduce 77 to: % 18.48/4.83 | (668) ~ (all_0_83_83 = unit) % 18.48/4.83 | % 18.48/4.83 | Simplifying 668 yields: % 18.48/4.83 | (669) ~ (all_0_83_83 = unit) % 18.48/4.83 | % 18.48/4.83 +-Applying beta-rule and splitting (143), into two cases. % 18.48/4.83 |-Branch one: % 18.48/4.83 | (324) all_0_78_78 = e3 % 18.48/4.83 | % 18.48/4.84 | Combining equations (663,324) yields a new equation: % 18.48/4.84 | (671) unit = e3 % 18.48/4.84 | % 18.48/4.84 | Simplifying 671 yields: % 18.48/4.84 | (672) unit = e3 % 18.48/4.84 | % 18.48/4.84 | Equations (672) can reduce 666 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (293) ~ (all_0_78_78 = e3) % 18.48/4.84 | (675) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0 % 18.48/4.84 | % 18.48/4.84 | Equations (663) can reduce 293 to: % 18.48/4.84 | (666) ~ (unit = e3) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (675), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (330) all_0_78_78 = e2 % 18.48/4.84 | % 18.48/4.84 | Combining equations (663,330) yields a new equation: % 18.48/4.84 | (678) unit = e2 % 18.48/4.84 | % 18.48/4.84 | Simplifying 678 yields: % 18.48/4.84 | (679) unit = e2 % 18.48/4.84 | % 18.48/4.84 | Equations (679) can reduce 667 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (295) ~ (all_0_78_78 = e2) % 18.48/4.84 | (682) all_0_78_78 = e1 | all_0_78_78 = e0 % 18.48/4.84 | % 18.48/4.84 | Equations (663) can reduce 295 to: % 18.48/4.84 | (667) ~ (unit = e2) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (321) yields: % 18.48/4.84 | (322) all_0_68_68 = e3 % 18.48/4.84 | (323) all_0_73_73 = e3 % 18.48/4.84 | (324) all_0_78_78 = e3 % 18.48/4.84 | (325) all_0_83_83 = e3 % 18.48/4.84 | % 18.48/4.84 | Combining equations (324,663) yields a new equation: % 18.48/4.84 | (672) unit = e3 % 18.48/4.84 | % 18.48/4.84 | Equations (672) can reduce 666 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (327) yields: % 18.48/4.84 | (328) all_0_68_68 = e2 % 18.48/4.84 | (329) all_0_73_73 = e2 % 18.48/4.84 | (330) all_0_78_78 = e2 % 18.48/4.84 | (331) all_0_83_83 = e2 % 18.48/4.84 | % 18.48/4.84 | Combining equations (330,663) yields a new equation: % 18.48/4.84 | (679) unit = e2 % 18.48/4.84 | % 18.48/4.84 | Equations (679) can reduce 667 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (333) yields: % 18.48/4.84 | (334) all_0_68_68 = e1 % 18.48/4.84 | (335) all_0_73_73 = e1 % 18.48/4.84 | (336) all_0_78_78 = e1 % 18.48/4.84 | (337) all_0_83_83 = e1 % 18.48/4.84 | % 18.48/4.84 | Combining equations (336,663) yields a new equation: % 18.48/4.84 | (338) unit = e1 % 18.48/4.84 | % 18.48/4.84 | Equations (338) can reduce 318 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (340) yields: % 18.48/4.84 | (341) all_0_68_68 = e0 % 18.48/4.84 | (342) all_0_73_73 = e0 % 18.48/4.84 | (343) all_0_78_78 = e0 % 18.48/4.84 | (344) all_0_83_83 = e0 % 18.48/4.84 | % 18.48/4.84 | Combining equations (343,663) yields a new equation: % 18.48/4.84 | (345) unit = e0 % 18.48/4.84 | % 18.48/4.84 | Equations (344,345) can reduce 669 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (714) ~ (all_0_2_2 = e1) % 18.48/4.84 | (715) all_0_2_2 = e0 % 18.48/4.84 | % 18.48/4.84 | Equations (715) can reduce 648 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (656) all_0_2_2 = e2 % 18.48/4.84 | (718) all_0_1_1 = e1 % 18.48/4.84 | % 18.48/4.84 | Equations (718) can reduce 302 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (718) all_0_1_1 = e1 % 18.48/4.84 | (656) all_0_2_2 = e2 % 18.48/4.84 | % 18.48/4.84 | Equations (718,656) can reduce 209 to: % 18.48/4.84 | (722) ~ (e2 = e1) % 18.48/4.84 | % 18.48/4.84 | Simplifying 722 yields: % 18.48/4.84 | (15) ~ (e2 = e1) % 18.48/4.84 | % 18.48/4.84 | Equations (718) can reduce 300 to: % 18.48/4.84 | (724) ~ (e3 = e1) % 18.48/4.84 | % 18.48/4.84 | Simplifying 724 yields: % 18.48/4.84 | (214) ~ (e3 = e1) % 18.48/4.84 | % 18.48/4.84 | From (718) and (234) follows: % 18.48/4.84 | (726) op(e2, e1) = unit % 18.48/4.84 | % 18.48/4.84 | From (656) and (174) follows: % 18.48/4.84 | (727) op(e1, e2) = unit % 18.48/4.84 | % 18.48/4.84 | Instantiating formula (218) with e2, e1, unit, all_0_74_74 and discharging atoms op(e2, e1) = all_0_74_74, op(e2, e1) = unit, yields: % 18.48/4.84 | (728) all_0_74_74 = unit % 18.48/4.84 | % 18.48/4.84 | Instantiating formula (218) with e1, e2, unit, all_0_77_77 and discharging atoms op(e1, e2) = all_0_77_77, op(e1, e2) = unit, yields: % 18.48/4.84 | (729) all_0_77_77 = unit % 18.48/4.84 | % 18.48/4.84 | Equations (728) can reduce 166 to: % 18.48/4.84 | (312) ~ (all_0_72_72 = unit) % 18.48/4.84 | % 18.48/4.84 | Equations (728) can reduce 173 to: % 18.48/4.84 | (731) ~ (all_0_75_75 = unit) % 18.48/4.84 | % 18.48/4.84 | Simplifying 731 yields: % 18.48/4.84 | (732) ~ (all_0_75_75 = unit) % 18.48/4.84 | % 18.48/4.84 | Equations (729) can reduce 228 to: % 18.48/4.84 | (314) ~ (all_0_76_76 = unit) % 18.48/4.84 | % 18.48/4.84 | Equations (729) can reduce 219 to: % 18.48/4.84 | (734) ~ (all_0_78_78 = unit) % 18.48/4.84 | % 18.48/4.84 | Simplifying 734 yields: % 18.48/4.84 | (735) ~ (all_0_78_78 = unit) % 18.48/4.84 | % 18.48/4.84 | Equations (729) can reduce 5 to: % 18.48/4.84 | (736) ~ (all_0_79_79 = unit) % 18.48/4.84 | % 18.48/4.84 | Simplifying 736 yields: % 18.48/4.84 | (737) ~ (all_0_79_79 = unit) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (55), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (738) ~ (all_0_74_74 = e3) % 18.48/4.84 | % 18.48/4.84 | Equations (728) can reduce 738 to: % 18.48/4.84 | (666) ~ (unit = e3) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (38), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (317) ~ (all_0_68_68 = e1) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.84 | % 18.48/4.84 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.84 |-Branch one: % 18.48/4.84 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (321) yields: % 18.48/4.84 | (322) all_0_68_68 = e3 % 18.48/4.84 | (323) all_0_73_73 = e3 % 18.48/4.84 | (324) all_0_78_78 = e3 % 18.48/4.84 | (325) all_0_83_83 = e3 % 18.48/4.84 | % 18.48/4.84 | Equations (324) can reduce 293 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (327) yields: % 18.48/4.84 | (328) all_0_68_68 = e2 % 18.48/4.84 | (329) all_0_73_73 = e2 % 18.48/4.84 | (330) all_0_78_78 = e2 % 18.48/4.84 | (331) all_0_83_83 = e2 % 18.48/4.84 | % 18.48/4.84 | Equations (330) can reduce 295 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (333) yields: % 18.48/4.84 | (334) all_0_68_68 = e1 % 18.48/4.84 | (335) all_0_73_73 = e1 % 18.48/4.84 | (336) all_0_78_78 = e1 % 18.48/4.84 | (337) all_0_83_83 = e1 % 18.48/4.84 | % 18.48/4.84 | Equations (334) can reduce 317 to: % 18.48/4.84 | (326) $false % 18.48/4.84 | % 18.48/4.84 |-The branch is then unsatisfiable % 18.48/4.84 |-Branch two: % 18.48/4.84 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.48/4.84 | % 18.48/4.84 | Applying alpha-rule on (340) yields: % 18.48/4.84 | (341) all_0_68_68 = e0 % 18.48/4.84 | (342) all_0_73_73 = e0 % 18.48/4.84 | (343) all_0_78_78 = e0 % 18.48/4.84 | (344) all_0_83_83 = e0 % 18.48/4.84 | % 18.48/4.84 | Equations (342) can reduce 106 to: % 18.48/4.84 | (348) ~ (all_0_72_72 = e0) % 18.48/4.84 | % 18.48/4.84 | Equations (343) can reduce 109 to: % 18.48/4.84 | (349) ~ (all_0_76_76 = e0) % 18.48/4.84 | % 18.48/4.84 | Equations (343) can reduce 735 to: % 18.48/4.84 | (768) ~ (unit = e0) % 18.48/4.84 | % 18.48/4.84 | Simplifying 768 yields: % 18.48/4.84 | (769) ~ (unit = e0) % 18.48/4.84 | % 18.48/4.84 | Equations (344) can reduce 250 to: % 18.48/4.84 | (351) ~ (all_0_79_79 = e0) % 18.48/4.84 | % 18.48/4.85 +-Applying beta-rule and splitting (179), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (354) ~ (all_0_68_68 = e0) % 18.48/4.85 | % 18.48/4.85 | Equations (341) can reduce 354 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (341) all_0_68_68 = e0 % 18.48/4.85 | (357) ~ (all_0_76_76 = e2) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (203), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (354) ~ (all_0_68_68 = e0) % 18.48/4.85 | % 18.48/4.85 | Equations (341) can reduce 354 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (341) all_0_68_68 = e0 % 18.48/4.85 | (361) ~ (all_0_72_72 = e1) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (239), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (367) all_0_79_79 = e3 % 18.48/4.85 | % 18.48/4.85 | Equations (367) can reduce 291 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (291) ~ (all_0_79_79 = e3) % 18.48/4.85 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (370), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (371) all_0_79_79 = e2 % 18.48/4.85 | % 18.48/4.85 | Equations (371) can reduce 297 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (297) ~ (all_0_79_79 = e2) % 18.48/4.85 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (374), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (375) all_0_79_79 = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (375) can reduce 264 to: % 18.48/4.85 | (376) ~ (all_0_76_76 = e1) % 18.48/4.85 | % 18.48/4.85 | Equations (375) can reduce 737 to: % 18.48/4.85 | (789) ~ (unit = e1) % 18.48/4.85 | % 18.48/4.85 | Simplifying 789 yields: % 18.48/4.85 | (318) ~ (unit = e1) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (125), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (672) unit = e3 % 18.48/4.85 | % 18.48/4.85 | Equations (672) can reduce 666 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (666) ~ (unit = e3) % 18.48/4.85 | (794) unit = e2 | unit = e1 | unit = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (794), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (679) unit = e2 % 18.48/4.85 | % 18.48/4.85 | Equations (679) can reduce 312 to: % 18.48/4.85 | (428) ~ (all_0_72_72 = e2) % 18.48/4.85 | % 18.48/4.85 | Equations (679) can reduce 314 to: % 18.48/4.85 | (357) ~ (all_0_76_76 = e2) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (112), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (378) all_0_76_76 = e3 % 18.48/4.85 | % 18.48/4.85 | Equations (378) can reduce 267 to: % 18.48/4.85 | (379) ~ (all_0_72_72 = e3) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (86), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (392) all_0_72_72 = e3 % 18.48/4.85 | % 18.48/4.85 | Equations (392) can reduce 379 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (379) ~ (all_0_72_72 = e3) % 18.48/4.85 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (395), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (403) all_0_72_72 = e2 % 18.48/4.85 | % 18.48/4.85 | Equations (403) can reduce 428 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (428) ~ (all_0_72_72 = e2) % 18.48/4.85 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (429), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (430) all_0_72_72 = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (430) can reduce 361 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (361) ~ (all_0_72_72 = e1) % 18.48/4.85 | (433) all_0_72_72 = e0 % 18.48/4.85 | % 18.48/4.85 | Equations (433) can reduce 348 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (453) ~ (all_0_76_76 = e3) % 18.48/4.85 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (454), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (455) all_0_76_76 = e2 % 18.48/4.85 | % 18.48/4.85 | Equations (455) can reduce 357 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (357) ~ (all_0_76_76 = e2) % 18.48/4.85 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (458), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (459) all_0_76_76 = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (459) can reduce 376 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (376) ~ (all_0_76_76 = e1) % 18.48/4.85 | (462) all_0_76_76 = e0 % 18.48/4.85 | % 18.48/4.85 | Equations (462) can reduce 349 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (667) ~ (unit = e2) % 18.48/4.85 | (825) unit = e1 | unit = e0 % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (825), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (338) unit = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (338) can reduce 318 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (318) ~ (unit = e1) % 18.48/4.85 | (345) unit = e0 % 18.48/4.85 | % 18.48/4.85 | Equations (345) can reduce 769 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (464) ~ (all_0_79_79 = e1) % 18.48/4.85 | (465) all_0_79_79 = e0 % 18.48/4.85 | % 18.48/4.85 | Equations (465) can reduce 351 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (334) all_0_68_68 = e1 % 18.48/4.85 | (405) ~ (all_0_80_80 = e2) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.85 | % 18.48/4.85 | Applying alpha-rule on (321) yields: % 18.48/4.85 | (322) all_0_68_68 = e3 % 18.48/4.85 | (323) all_0_73_73 = e3 % 18.48/4.85 | (324) all_0_78_78 = e3 % 18.48/4.85 | (325) all_0_83_83 = e3 % 18.48/4.85 | % 18.48/4.85 | Combining equations (322,334) yields a new equation: % 18.48/4.85 | (485) e3 = e1 % 18.48/4.85 | % 18.48/4.85 | Simplifying 485 yields: % 18.48/4.85 | (486) e3 = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (486) can reduce 214 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.85 | % 18.48/4.85 | Applying alpha-rule on (327) yields: % 18.48/4.85 | (328) all_0_68_68 = e2 % 18.48/4.85 | (329) all_0_73_73 = e2 % 18.48/4.85 | (330) all_0_78_78 = e2 % 18.48/4.85 | (331) all_0_83_83 = e2 % 18.48/4.85 | % 18.48/4.85 | Combining equations (328,334) yields a new equation: % 18.48/4.85 | (493) e2 = e1 % 18.48/4.85 | % 18.48/4.85 | Simplifying 493 yields: % 18.48/4.85 | (494) e2 = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (494) can reduce 15 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.48/4.85 | % 18.48/4.85 | Applying alpha-rule on (333) yields: % 18.48/4.85 | (334) all_0_68_68 = e1 % 18.48/4.85 | (335) all_0_73_73 = e1 % 18.48/4.85 | (336) all_0_78_78 = e1 % 18.48/4.85 | (337) all_0_83_83 = e1 % 18.48/4.85 | % 18.48/4.85 | Equations (337) can reduce 196 to: % 18.48/4.85 | (859) ~ (all_0_75_75 = e1) % 18.48/4.85 | % 18.48/4.85 | Equations (336) can reduce 735 to: % 18.48/4.85 | (789) ~ (unit = e1) % 18.48/4.85 | % 18.48/4.85 | Simplifying 789 yields: % 18.48/4.85 | (318) ~ (unit = e1) % 18.48/4.85 | % 18.48/4.85 | Equations (337) can reduce 250 to: % 18.48/4.85 | (464) ~ (all_0_79_79 = e1) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (237), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (384) all_0_77_77 = e3 % 18.48/4.85 | % 18.48/4.85 | Combining equations (729,384) yields a new equation: % 18.48/4.85 | (671) unit = e3 % 18.48/4.85 | % 18.48/4.85 | Simplifying 671 yields: % 18.48/4.85 | (672) unit = e3 % 18.48/4.85 | % 18.48/4.85 | Equations (672) can reduce 666 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (365) ~ (all_0_77_77 = e3) % 18.48/4.85 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.85 | % 18.48/4.85 | Equations (729) can reduce 365 to: % 18.48/4.85 | (666) ~ (unit = e3) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (282), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (870) all_0_74_74 = e3 % 18.48/4.85 | % 18.48/4.85 | Combining equations (728,870) yields a new equation: % 18.48/4.85 | (671) unit = e3 % 18.48/4.85 | % 18.48/4.85 | Simplifying 671 yields: % 18.48/4.85 | (672) unit = e3 % 18.48/4.85 | % 18.48/4.85 | Equations (672) can reduce 666 to: % 18.48/4.85 | (326) $false % 18.48/4.85 | % 18.48/4.85 |-The branch is then unsatisfiable % 18.48/4.85 |-Branch two: % 18.48/4.85 | (738) ~ (all_0_74_74 = e3) % 18.48/4.85 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 18.48/4.85 | % 18.48/4.85 | Equations (728) can reduce 738 to: % 18.48/4.85 | (666) ~ (unit = e3) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (107), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (877) ~ (all_0_75_75 = e3) % 18.48/4.85 | % 18.48/4.85 +-Applying beta-rule and splitting (387), into two cases. % 18.48/4.85 |-Branch one: % 18.48/4.85 | (388) all_0_77_77 = e2 % 18.48/4.85 | % 18.48/4.85 | Combining equations (729,388) yields a new equation: % 18.48/4.85 | (678) unit = e2 % 18.48/4.85 | % 18.48/4.85 | Simplifying 678 yields: % 18.48/4.85 | (679) unit = e2 % 18.48/4.85 | % 18.48/4.85 | Equations (679) can reduce 732 to: % 18.48/4.85 | (881) ~ (all_0_75_75 = e2) % 18.48/4.85 | % 18.48/4.86 | Equations (679) can reduce 737 to: % 18.48/4.86 | (297) ~ (all_0_79_79 = e2) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (253), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (883) all_0_75_75 = e3 % 18.48/4.86 | % 18.48/4.86 | Equations (883) can reduce 877 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (877) ~ (all_0_75_75 = e3) % 18.48/4.86 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (886), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (887) all_0_75_75 = e2 % 18.48/4.86 | % 18.48/4.86 | Equations (887) can reduce 881 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (881) ~ (all_0_75_75 = e2) % 18.48/4.86 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (239), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (367) all_0_79_79 = e3 % 18.48/4.86 | % 18.48/4.86 | Equations (367) can reduce 291 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (291) ~ (all_0_79_79 = e3) % 18.48/4.86 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (890), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (895) all_0_75_75 = e1 % 18.48/4.86 | % 18.48/4.86 | Equations (895) can reduce 859 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (859) ~ (all_0_75_75 = e1) % 18.48/4.86 | (898) all_0_75_75 = e0 % 18.48/4.86 | % 18.48/4.86 | Equations (898) can reduce 221 to: % 18.48/4.86 | (899) ~ (all_0_79_79 = e0) % 18.48/4.86 | % 18.48/4.86 | Simplifying 899 yields: % 18.48/4.86 | (351) ~ (all_0_79_79 = e0) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (370), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (371) all_0_79_79 = e2 % 18.48/4.86 | % 18.48/4.86 | Equations (371) can reduce 297 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (297) ~ (all_0_79_79 = e2) % 18.48/4.86 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (374), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (375) all_0_79_79 = e1 % 18.48/4.86 | % 18.48/4.86 | Equations (375) can reduce 464 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (464) ~ (all_0_79_79 = e1) % 18.48/4.86 | (465) all_0_79_79 = e0 % 18.48/4.86 | % 18.48/4.86 | Equations (465) can reduce 351 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (446) ~ (all_0_77_77 = e2) % 18.48/4.86 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 18.48/4.86 | % 18.48/4.86 | Equations (729) can reduce 446 to: % 18.48/4.86 | (667) ~ (unit = e2) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (125), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (672) unit = e3 % 18.48/4.86 | % 18.48/4.86 | Equations (672) can reduce 666 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (666) ~ (unit = e3) % 18.48/4.86 | (794) unit = e2 | unit = e1 | unit = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (239), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (367) all_0_79_79 = e3 % 18.48/4.86 | % 18.48/4.86 | Equations (367) can reduce 291 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (291) ~ (all_0_79_79 = e3) % 18.48/4.86 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (370), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (371) all_0_79_79 = e2 % 18.48/4.86 | % 18.48/4.86 | Equations (371) can reduce 297 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (297) ~ (all_0_79_79 = e2) % 18.48/4.86 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (374), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (375) all_0_79_79 = e1 % 18.48/4.86 | % 18.48/4.86 | Equations (375) can reduce 464 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (464) ~ (all_0_79_79 = e1) % 18.48/4.86 | (465) all_0_79_79 = e0 % 18.48/4.86 | % 18.48/4.86 | Equations (465) can reduce 737 to: % 18.48/4.86 | (768) ~ (unit = e0) % 18.48/4.86 | % 18.48/4.86 | Simplifying 768 yields: % 18.48/4.86 | (769) ~ (unit = e0) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (794), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (679) unit = e2 % 18.48/4.86 | % 18.48/4.86 | Equations (679) can reduce 667 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (667) ~ (unit = e2) % 18.48/4.86 | (825) unit = e1 | unit = e0 % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (825), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (338) unit = e1 % 18.48/4.86 | % 18.48/4.86 | Equations (338) can reduce 318 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (318) ~ (unit = e1) % 18.48/4.86 | (345) unit = e0 % 18.48/4.86 | % 18.48/4.86 | Equations (345) can reduce 769 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (883) all_0_75_75 = e3 % 18.48/4.86 | (625) ~ (all_0_83_83 = e1) % 18.48/4.86 | % 18.48/4.86 | Equations (337) can reduce 625 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.48/4.86 | % 18.48/4.86 | Applying alpha-rule on (340) yields: % 18.48/4.86 | (341) all_0_68_68 = e0 % 18.48/4.86 | (342) all_0_73_73 = e0 % 18.48/4.86 | (343) all_0_78_78 = e0 % 18.48/4.86 | (344) all_0_83_83 = e0 % 18.48/4.86 | % 18.48/4.86 | Combining equations (341,334) yields a new equation: % 18.48/4.86 | (632) e1 = e0 % 18.48/4.86 | % 18.48/4.86 | Equations (632) can reduce 71 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (870) all_0_74_74 = e3 % 18.48/4.86 | (951) ~ (all_0_78_78 = e0) % 18.48/4.86 | % 18.48/4.86 | Combining equations (870,728) yields a new equation: % 18.48/4.86 | (672) unit = e3 % 18.48/4.86 | % 18.48/4.86 | Equations (672) can reduce 312 to: % 18.48/4.86 | (379) ~ (all_0_72_72 = e3) % 18.48/4.86 | % 18.48/4.86 | Equations (672) can reduce 732 to: % 18.48/4.86 | (877) ~ (all_0_75_75 = e3) % 18.48/4.86 | % 18.48/4.86 | Equations (672) can reduce 735 to: % 18.48/4.86 | (293) ~ (all_0_78_78 = e3) % 18.48/4.86 | % 18.48/4.86 | Equations (672) can reduce 737 to: % 18.48/4.86 | (291) ~ (all_0_79_79 = e3) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.86 | % 18.48/4.86 | Applying alpha-rule on (321) yields: % 18.48/4.86 | (322) all_0_68_68 = e3 % 18.48/4.86 | (323) all_0_73_73 = e3 % 18.48/4.86 | (324) all_0_78_78 = e3 % 18.48/4.86 | (325) all_0_83_83 = e3 % 18.48/4.86 | % 18.48/4.86 | Equations (324) can reduce 293 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.86 | % 18.48/4.86 | Applying alpha-rule on (327) yields: % 18.48/4.86 | (328) all_0_68_68 = e2 % 18.48/4.86 | (329) all_0_73_73 = e2 % 18.48/4.86 | (330) all_0_78_78 = e2 % 18.48/4.86 | (331) all_0_83_83 = e2 % 18.48/4.86 | % 18.48/4.86 | Equations (330) can reduce 295 to: % 18.48/4.86 | (326) $false % 18.48/4.86 | % 18.48/4.86 |-The branch is then unsatisfiable % 18.48/4.86 |-Branch two: % 18.48/4.86 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.48/4.86 | % 18.48/4.86 | Applying alpha-rule on (333) yields: % 18.48/4.86 | (334) all_0_68_68 = e1 % 18.48/4.86 | (335) all_0_73_73 = e1 % 18.48/4.86 | (336) all_0_78_78 = e1 % 18.48/4.86 | (337) all_0_83_83 = e1 % 18.48/4.86 | % 18.48/4.86 | Equations (335) can reduce 106 to: % 18.48/4.86 | (361) ~ (all_0_72_72 = e1) % 18.48/4.86 | % 18.48/4.86 | Equations (337) can reduce 196 to: % 18.48/4.86 | (859) ~ (all_0_75_75 = e1) % 18.48/4.86 | % 18.48/4.86 | Equations (337) can reduce 250 to: % 18.48/4.86 | (464) ~ (all_0_79_79 = e1) % 18.48/4.86 | % 18.48/4.86 +-Applying beta-rule and splitting (38), into two cases. % 18.48/4.86 |-Branch one: % 18.48/4.86 | (317) ~ (all_0_68_68 = e1) % 18.48/4.86 | % 18.48/4.87 | Equations (334) can reduce 317 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (334) all_0_68_68 = e1 % 18.48/4.87 | (405) ~ (all_0_80_80 = e2) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (164), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (317) ~ (all_0_68_68 = e1) % 18.48/4.87 | % 18.48/4.87 | Equations (334) can reduce 317 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (334) all_0_68_68 = e1 % 18.48/4.87 | (348) ~ (all_0_72_72 = e0) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (239), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (367) all_0_79_79 = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (367) can reduce 291 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (291) ~ (all_0_79_79 = e3) % 18.48/4.87 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (370), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (371) all_0_79_79 = e2 % 18.48/4.87 | % 18.48/4.87 | Equations (371) can reduce 297 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (297) ~ (all_0_79_79 = e2) % 18.48/4.87 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (374), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (375) all_0_79_79 = e1 % 18.48/4.87 | % 18.48/4.87 | Equations (375) can reduce 464 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (464) ~ (all_0_79_79 = e1) % 18.48/4.87 | (465) all_0_79_79 = e0 % 18.48/4.87 | % 18.48/4.87 | Equations (465) can reduce 221 to: % 18.48/4.87 | (999) ~ (all_0_75_75 = e0) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (253), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (883) all_0_75_75 = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (883) can reduce 877 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (877) ~ (all_0_75_75 = e3) % 18.48/4.87 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (886), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (887) all_0_75_75 = e2 % 18.48/4.87 | % 18.48/4.87 | Equations (887) can reduce 88 to: % 18.48/4.87 | (428) ~ (all_0_72_72 = e2) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (86), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (392) all_0_72_72 = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (392) can reduce 379 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (379) ~ (all_0_72_72 = e3) % 18.48/4.87 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (395), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (403) all_0_72_72 = e2 % 18.48/4.87 | % 18.48/4.87 | Equations (403) can reduce 428 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (428) ~ (all_0_72_72 = e2) % 18.48/4.87 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (429), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (430) all_0_72_72 = e1 % 18.48/4.87 | % 18.48/4.87 | Equations (430) can reduce 361 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (361) ~ (all_0_72_72 = e1) % 18.48/4.87 | (433) all_0_72_72 = e0 % 18.48/4.87 | % 18.48/4.87 | Equations (433) can reduce 348 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (881) ~ (all_0_75_75 = e2) % 18.48/4.87 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (890), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (895) all_0_75_75 = e1 % 18.48/4.87 | % 18.48/4.87 | Equations (895) can reduce 859 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (859) ~ (all_0_75_75 = e1) % 18.48/4.87 | (898) all_0_75_75 = e0 % 18.48/4.87 | % 18.48/4.87 | Equations (898) can reduce 999 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.48/4.87 | % 18.48/4.87 | Applying alpha-rule on (340) yields: % 18.48/4.87 | (341) all_0_68_68 = e0 % 18.48/4.87 | (342) all_0_73_73 = e0 % 18.48/4.87 | (343) all_0_78_78 = e0 % 18.48/4.87 | (344) all_0_83_83 = e0 % 18.48/4.87 | % 18.48/4.87 | Equations (343) can reduce 951 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (636) all_0_0_0 = e2 % 18.48/4.87 | (1033) all_0_1_1 = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (1033) can reduce 300 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (1033) all_0_1_1 = e3 % 18.48/4.87 | (636) all_0_0_0 = e2 % 18.48/4.87 | % 18.48/4.87 | Equations (636) can reduce 240 to: % 18.48/4.87 | (1037) ~ (all_0_2_2 = e2) % 18.48/4.87 | % 18.48/4.87 | Simplifying 1037 yields: % 18.48/4.87 | (303) ~ (all_0_2_2 = e2) % 18.48/4.87 | % 18.48/4.87 | Equations (636) can reduce 145 to: % 18.48/4.87 | (1039) ~ (all_0_3_3 = e2) % 18.48/4.87 | % 18.48/4.87 | Simplifying 1039 yields: % 18.48/4.87 | (1040) ~ (all_0_3_3 = e2) % 18.48/4.87 | % 18.48/4.87 | Equations (1033) can reduce 209 to: % 18.48/4.87 | (1041) ~ (all_0_2_2 = e3) % 18.48/4.87 | % 18.48/4.87 | Simplifying 1041 yields: % 18.48/4.87 | (649) ~ (all_0_2_2 = e3) % 18.48/4.87 | % 18.48/4.87 | Equations (1033) can reduce 161 to: % 18.48/4.87 | (1043) ~ (all_0_3_3 = e3) % 18.48/4.87 | % 18.48/4.87 | Simplifying 1043 yields: % 18.48/4.87 | (1044) ~ (all_0_3_3 = e3) % 18.48/4.87 | % 18.48/4.87 | From (636) and (248) follows: % 18.48/4.87 | (1045) op(e3, e2) = unit % 18.48/4.87 | % 18.48/4.87 | From (1033) and (234) follows: % 18.48/4.87 | (1046) op(e2, e3) = unit % 18.48/4.87 | % 18.48/4.87 | Instantiating formula (218) with e3, e2, unit, all_0_69_69 and discharging atoms op(e3, e2) = all_0_69_69, op(e3, e2) = unit, yields: % 18.48/4.87 | (1047) all_0_69_69 = unit % 18.48/4.87 | % 18.48/4.87 | Instantiating formula (218) with e2, e3, unit, all_0_72_72 and discharging atoms op(e2, e3) = all_0_72_72, op(e2, e3) = unit, yields: % 18.48/4.87 | (1048) all_0_72_72 = unit % 18.48/4.87 | % 18.48/4.87 | Equations (1048) can reduce 159 to: % 18.48/4.87 | (1049) ~ (all_0_68_68 = unit) % 18.48/4.87 | % 18.48/4.87 | Equations (1047) can reduce 298 to: % 18.48/4.87 | (769) ~ (unit = e0) % 18.48/4.87 | % 18.48/4.87 | Equations (1048) can reduce 106 to: % 18.48/4.87 | (1051) ~ (all_0_73_73 = unit) % 18.48/4.87 | % 18.48/4.87 | Simplifying 1051 yields: % 18.48/4.87 | (1052) ~ (all_0_73_73 = unit) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (154), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (1053) ~ (all_0_3_3 = e1) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (119), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (646) all_0_3_3 = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (646) can reduce 1044 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (1044) ~ (all_0_3_3 = e3) % 18.48/4.87 | (1057) all_0_3_3 = e2 | all_0_3_3 = e1 | all_0_3_3 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (121), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (652) all_0_2_2 = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (652) can reduce 649 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (649) ~ (all_0_2_2 = e3) % 18.48/4.87 | (655) all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (1057), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (1062) all_0_3_3 = e2 % 18.48/4.87 | % 18.48/4.87 | Equations (1062) can reduce 1040 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (1040) ~ (all_0_3_3 = e2) % 18.48/4.87 | (1065) all_0_3_3 = e1 | all_0_3_3 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (1065), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (1066) all_0_3_3 = e1 % 18.48/4.87 | % 18.48/4.87 | Equations (1066) can reduce 1053 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (1053) ~ (all_0_3_3 = e1) % 18.48/4.87 | (1069) all_0_3_3 = e0 % 18.48/4.87 | % 18.48/4.87 | Equations (1069) can reduce 20 to: % 18.48/4.87 | (648) ~ (all_0_2_2 = e0) % 18.48/4.87 | % 18.48/4.87 | From (1069) and (49) follows: % 18.48/4.87 | (1071) op(e0, e0) = unit % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (655), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (656) all_0_2_2 = e2 % 18.48/4.87 | % 18.48/4.87 | Equations (656) can reduce 303 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (303) ~ (all_0_2_2 = e2) % 18.48/4.87 | (659) all_0_2_2 = e1 | all_0_2_2 = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (659), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (660) all_0_2_2 = e1 % 18.48/4.87 | % 18.48/4.87 | From (660) and (174) follows: % 18.48/4.87 | (661) op(e1, e1) = unit % 18.48/4.87 | % 18.48/4.87 | Instantiating formula (218) with e1, e1, unit, all_0_78_78 and discharging atoms op(e1, e1) = all_0_78_78, op(e1, e1) = unit, yields: % 18.48/4.87 | (663) all_0_78_78 = unit % 18.48/4.87 | % 18.48/4.87 | Instantiating formula (218) with e0, e0, unit, all_0_83_83 and discharging atoms op(e0, e0) = all_0_83_83, op(e0, e0) = unit, yields: % 18.48/4.87 | (1079) all_0_83_83 = unit % 18.48/4.87 | % 18.48/4.87 | Equations (663) can reduce 293 to: % 18.48/4.87 | (666) ~ (unit = e3) % 18.48/4.87 | % 18.48/4.87 | Equations (663) can reduce 295 to: % 18.48/4.87 | (667) ~ (unit = e2) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (125), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (672) unit = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (672) can reduce 666 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (666) ~ (unit = e3) % 18.48/4.87 | (794) unit = e2 | unit = e1 | unit = e0 % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (288), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (325) all_0_83_83 = e3 % 18.48/4.87 | % 18.48/4.87 | Combining equations (325,1079) yields a new equation: % 18.48/4.87 | (672) unit = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (672) can reduce 666 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (1089) ~ (all_0_83_83 = e3) % 18.48/4.87 | (1090) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0 % 18.48/4.87 | % 18.48/4.87 | Equations (1079) can reduce 1089 to: % 18.48/4.87 | (666) ~ (unit = e3) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (270), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (319), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.48/4.87 | % 18.48/4.87 +-Applying beta-rule and splitting (320), into two cases. % 18.48/4.87 |-Branch one: % 18.48/4.87 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.48/4.87 | % 18.48/4.87 | Applying alpha-rule on (321) yields: % 18.48/4.87 | (322) all_0_68_68 = e3 % 18.48/4.87 | (323) all_0_73_73 = e3 % 18.48/4.87 | (324) all_0_78_78 = e3 % 18.48/4.87 | (325) all_0_83_83 = e3 % 18.48/4.87 | % 18.48/4.87 | Combining equations (1079,325) yields a new equation: % 18.48/4.87 | (671) unit = e3 % 18.48/4.87 | % 18.48/4.87 | Simplifying 671 yields: % 18.48/4.87 | (672) unit = e3 % 18.48/4.87 | % 18.48/4.87 | Equations (672) can reduce 666 to: % 18.48/4.87 | (326) $false % 18.48/4.87 | % 18.48/4.87 |-The branch is then unsatisfiable % 18.48/4.87 |-Branch two: % 18.48/4.87 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.48/4.87 | % 18.48/4.87 | Applying alpha-rule on (327) yields: % 18.48/4.87 | (328) all_0_68_68 = e2 % 18.48/4.87 | (329) all_0_73_73 = e2 % 18.48/4.87 | (330) all_0_78_78 = e2 % 18.48/4.87 | (331) all_0_83_83 = e2 % 18.48/4.87 | % 18.48/4.87 | Combining equations (1079,331) yields a new equation: % 18.48/4.87 | (678) unit = e2 % 18.48/4.87 | % 18.48/4.87 | Simplifying 678 yields: % 18.89/4.87 | (679) unit = e2 % 18.89/4.87 | % 18.89/4.87 | Equations (679) can reduce 667 to: % 18.89/4.87 | (326) $false % 18.89/4.87 | % 18.89/4.87 |-The branch is then unsatisfiable % 18.89/4.87 |-Branch two: % 18.89/4.87 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.89/4.87 | % 18.89/4.87 | Applying alpha-rule on (333) yields: % 18.89/4.87 | (334) all_0_68_68 = e1 % 18.89/4.87 | (335) all_0_73_73 = e1 % 18.89/4.87 | (336) all_0_78_78 = e1 % 18.89/4.87 | (337) all_0_83_83 = e1 % 18.89/4.87 | % 18.89/4.87 | Combining equations (1079,337) yields a new equation: % 18.89/4.87 | (1115) unit = e1 % 18.89/4.87 | % 18.89/4.87 | Simplifying 1115 yields: % 18.89/4.87 | (338) unit = e1 % 18.89/4.87 | % 18.89/4.87 | Equations (335,338) can reduce 1052 to: % 18.89/4.87 | (326) $false % 18.89/4.87 | % 18.89/4.87 |-The branch is then unsatisfiable % 18.89/4.87 |-Branch two: % 18.89/4.87 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.89/4.88 | % 18.89/4.88 | Applying alpha-rule on (340) yields: % 18.89/4.88 | (341) all_0_68_68 = e0 % 18.89/4.88 | (342) all_0_73_73 = e0 % 18.89/4.88 | (343) all_0_78_78 = e0 % 18.89/4.88 | (344) all_0_83_83 = e0 % 18.89/4.88 | % 18.89/4.88 | Combining equations (1079,344) yields a new equation: % 18.89/4.88 | (1123) unit = e0 % 18.89/4.88 | % 18.89/4.88 | Simplifying 1123 yields: % 18.89/4.88 | (345) unit = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (345) can reduce 769 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (714) ~ (all_0_2_2 = e1) % 18.89/4.88 | (715) all_0_2_2 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (715) can reduce 648 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (1066) all_0_3_3 = e1 % 18.89/4.88 | (715) all_0_2_2 = e0 % 18.89/4.88 | % 18.89/4.88 | From (715) and (174) follows: % 18.89/4.88 | (1131) op(e1, e0) = unit % 18.89/4.88 | % 18.89/4.88 | From (1066) and (49) follows: % 18.89/4.88 | (1132) op(e0, e1) = unit % 18.89/4.88 | % 18.89/4.88 | Instantiating formula (218) with e1, e0, unit, all_0_79_79 and discharging atoms op(e1, e0) = all_0_79_79, op(e1, e0) = unit, yields: % 18.89/4.88 | (1133) all_0_79_79 = unit % 18.89/4.88 | % 18.89/4.88 | Instantiating formula (218) with e0, e1, unit, all_0_82_82 and discharging atoms op(e0, e1) = all_0_82_82, op(e0, e1) = unit, yields: % 18.89/4.88 | (1134) all_0_82_82 = unit % 18.89/4.88 | % 18.89/4.88 | Equations (1134) can reduce 265 to: % 18.89/4.88 | (1135) ~ (all_0_70_70 = unit) % 18.89/4.88 | % 18.89/4.88 | Equations (1133) can reduce 110 to: % 18.89/4.88 | (1136) ~ (all_0_71_71 = unit) % 18.89/4.88 | % 18.89/4.88 | Equations (1134) can reduce 146 to: % 18.89/4.88 | (735) ~ (all_0_78_78 = unit) % 18.89/4.88 | % 18.89/4.88 | Equations (1133) can reduce 291 to: % 18.89/4.88 | (666) ~ (unit = e3) % 18.89/4.88 | % 18.89/4.88 | Equations (1133) can reduce 297 to: % 18.89/4.88 | (667) ~ (unit = e2) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (123), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (1140) all_0_82_82 = e3 % 18.89/4.88 | % 18.89/4.88 | Combining equations (1140,1134) yields a new equation: % 18.89/4.88 | (672) unit = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (672) can reduce 666 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (1143) ~ (all_0_82_82 = e3) % 18.89/4.88 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (1134) can reduce 1143 to: % 18.89/4.88 | (666) ~ (unit = e3) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (239), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (367) all_0_79_79 = e3 % 18.89/4.88 | % 18.89/4.88 | Combining equations (1133,367) yields a new equation: % 18.89/4.88 | (671) unit = e3 % 18.89/4.88 | % 18.89/4.88 | Simplifying 671 yields: % 18.89/4.88 | (672) unit = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (672) can reduce 666 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (291) ~ (all_0_79_79 = e3) % 18.89/4.88 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (1133) can reduce 291 to: % 18.89/4.88 | (666) ~ (unit = e3) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (370), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (371) all_0_79_79 = e2 % 18.89/4.88 | % 18.89/4.88 | Combining equations (1133,371) yields a new equation: % 18.89/4.88 | (678) unit = e2 % 18.89/4.88 | % 18.89/4.88 | Simplifying 678 yields: % 18.89/4.88 | (679) unit = e2 % 18.89/4.88 | % 18.89/4.88 | Equations (679) can reduce 667 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (297) ~ (all_0_79_79 = e2) % 18.89/4.88 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (1133) can reduce 297 to: % 18.89/4.88 | (667) ~ (unit = e2) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (125), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (672) unit = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (672) can reduce 666 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (666) ~ (unit = e3) % 18.89/4.88 | (794) unit = e2 | unit = e1 | unit = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (794), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (679) unit = e2 % 18.89/4.88 | % 18.89/4.88 | Equations (679) can reduce 667 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (667) ~ (unit = e2) % 18.89/4.88 | (825) unit = e1 | unit = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (825), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (338) unit = e1 % 18.89/4.88 | % 18.89/4.88 | Combining equations (338,1048) yields a new equation: % 18.89/4.88 | (430) all_0_72_72 = e1 % 18.89/4.88 | % 18.89/4.88 | Equations (338) can reduce 1049 to: % 18.89/4.88 | (317) ~ (all_0_68_68 = e1) % 18.89/4.88 | % 18.89/4.88 | Equations (338) can reduce 1135 to: % 18.89/4.88 | (1171) ~ (all_0_70_70 = e1) % 18.89/4.88 | % 18.89/4.88 | Equations (338) can reduce 1136 to: % 18.89/4.88 | (294) ~ (all_0_71_71 = e1) % 18.89/4.88 | % 18.89/4.88 | Equations (338) can reduce 735 to: % 18.89/4.88 | (1173) ~ (all_0_78_78 = e1) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (203), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (354) ~ (all_0_68_68 = e0) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (143), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (324) all_0_78_78 = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (324) can reduce 293 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (293) ~ (all_0_78_78 = e3) % 18.89/4.88 | (675) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (675), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (330) all_0_78_78 = e2 % 18.89/4.88 | % 18.89/4.88 | Equations (330) can reduce 295 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (295) ~ (all_0_78_78 = e2) % 18.89/4.88 | (682) all_0_78_78 = e1 | all_0_78_78 = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (682), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (336) all_0_78_78 = e1 % 18.89/4.88 | % 18.89/4.88 | Equations (336) can reduce 1173 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (1173) ~ (all_0_78_78 = e1) % 18.89/4.88 | (343) all_0_78_78 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (343) can reduce 19 to: % 18.89/4.88 | (1187) ~ (all_0_70_70 = e0) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (35), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (1188) all_0_70_70 = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (1188) can reduce 259 to: % 18.89/4.88 | (1189) ~ (all_0_68_68 = e3) % 18.89/4.88 | % 18.89/4.88 | Equations (1188) can reduce 17 to: % 18.89/4.88 | (1190) ~ (all_0_71_71 = e3) % 18.89/4.88 | % 18.89/4.88 | Simplifying 1190 yields: % 18.89/4.88 | (613) ~ (all_0_71_71 = e3) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (131), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (322) all_0_68_68 = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (322) can reduce 1189 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (1189) ~ (all_0_68_68 = e3) % 18.89/4.88 | (1195) all_0_68_68 = e2 | all_0_68_68 = e1 | all_0_68_68 = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (1195), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (328) all_0_68_68 = e2 % 18.89/4.88 | % 18.89/4.88 | Equations (328) can reduce 204 to: % 18.89/4.88 | (1197) ~ (all_0_71_71 = e2) % 18.89/4.88 | % 18.89/4.88 | Simplifying 1197 yields: % 18.89/4.88 | (509) ~ (all_0_71_71 = e2) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (48), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (529) all_0_71_71 = e3 % 18.89/4.88 | % 18.89/4.88 | Equations (529) can reduce 613 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (613) ~ (all_0_71_71 = e3) % 18.89/4.88 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (614), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (615) all_0_71_71 = e2 % 18.89/4.88 | % 18.89/4.88 | Equations (615) can reduce 509 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (509) ~ (all_0_71_71 = e2) % 18.89/4.88 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (618), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (619) all_0_71_71 = e1 % 18.89/4.88 | % 18.89/4.88 | Equations (619) can reduce 294 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (294) ~ (all_0_71_71 = e1) % 18.89/4.88 | (622) all_0_71_71 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (622) can reduce 509 to: % 18.89/4.88 | (1211) ~ (e2 = e0) % 18.89/4.88 | % 18.89/4.88 | Simplifying 1211 yields: % 18.89/4.88 | (262) ~ (e2 = e0) % 18.89/4.88 | % 18.89/4.88 | Equations (622) can reduce 294 to: % 18.89/4.88 | (1213) ~ (e1 = e0) % 18.89/4.88 | % 18.89/4.88 | Simplifying 1213 yields: % 18.89/4.88 | (71) ~ (e1 = e0) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (270), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (319), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (320), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.89/4.88 | % 18.89/4.88 | Applying alpha-rule on (321) yields: % 18.89/4.88 | (322) all_0_68_68 = e3 % 18.89/4.88 | (323) all_0_73_73 = e3 % 18.89/4.88 | (324) all_0_78_78 = e3 % 18.89/4.88 | (325) all_0_83_83 = e3 % 18.89/4.88 | % 18.89/4.88 | Combining equations (322,328) yields a new equation: % 18.89/4.88 | (1222) e3 = e2 % 18.89/4.88 | % 18.89/4.88 | Simplifying 1222 yields: % 18.89/4.88 | (1223) e3 = e2 % 18.89/4.88 | % 18.89/4.88 | Combining equations (324,343) yields a new equation: % 18.89/4.88 | (1224) e3 = e0 % 18.89/4.88 | % 18.89/4.88 | Simplifying 1224 yields: % 18.89/4.88 | (1225) e3 = e0 % 18.89/4.88 | % 18.89/4.88 | Combining equations (1223,1225) yields a new equation: % 18.89/4.88 | (1226) e2 = e0 % 18.89/4.88 | % 18.89/4.88 | Simplifying 1226 yields: % 18.89/4.88 | (1227) e2 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (1227) can reduce 262 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.89/4.88 | % 18.89/4.88 | Applying alpha-rule on (327) yields: % 18.89/4.88 | (328) all_0_68_68 = e2 % 18.89/4.88 | (329) all_0_73_73 = e2 % 18.89/4.88 | (330) all_0_78_78 = e2 % 18.89/4.88 | (331) all_0_83_83 = e2 % 18.89/4.88 | % 18.89/4.88 | Combining equations (343,330) yields a new equation: % 18.89/4.88 | (1227) e2 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (1227) can reduce 262 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.89/4.88 | % 18.89/4.88 | Applying alpha-rule on (333) yields: % 18.89/4.88 | (334) all_0_68_68 = e1 % 18.89/4.88 | (335) all_0_73_73 = e1 % 18.89/4.88 | (336) all_0_78_78 = e1 % 18.89/4.88 | (337) all_0_83_83 = e1 % 18.89/4.88 | % 18.89/4.88 | Combining equations (336,343) yields a new equation: % 18.89/4.88 | (1241) e1 = e0 % 18.89/4.88 | % 18.89/4.88 | Simplifying 1241 yields: % 18.89/4.88 | (632) e1 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (632) can reduce 71 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.89/4.88 | % 18.89/4.88 | Applying alpha-rule on (340) yields: % 18.89/4.88 | (341) all_0_68_68 = e0 % 18.89/4.88 | (342) all_0_73_73 = e0 % 18.89/4.88 | (343) all_0_78_78 = e0 % 18.89/4.88 | (344) all_0_83_83 = e0 % 18.89/4.88 | % 18.89/4.88 | Combining equations (341,328) yields a new equation: % 18.89/4.88 | (1227) e2 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (1227) can reduce 262 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (1251) ~ (all_0_68_68 = e2) % 18.89/4.88 | (1252) all_0_68_68 = e1 | all_0_68_68 = e0 % 18.89/4.88 | % 18.89/4.88 +-Applying beta-rule and splitting (1252), into two cases. % 18.89/4.88 |-Branch one: % 18.89/4.88 | (334) all_0_68_68 = e1 % 18.89/4.88 | % 18.89/4.88 | Equations (334) can reduce 317 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.88 |-Branch two: % 18.89/4.88 | (317) ~ (all_0_68_68 = e1) % 18.89/4.88 | (341) all_0_68_68 = e0 % 18.89/4.88 | % 18.89/4.88 | Equations (341) can reduce 354 to: % 18.89/4.88 | (326) $false % 18.89/4.88 | % 18.89/4.88 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1258) ~ (all_0_70_70 = e3) % 18.89/4.89 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (1259), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1260) all_0_70_70 = e2 % 18.89/4.89 | % 18.89/4.89 | Equations (1260) can reduce 296 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (296) ~ (all_0_70_70 = e2) % 18.89/4.89 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (1263), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1264) all_0_70_70 = e1 % 18.89/4.89 | % 18.89/4.89 | Equations (1264) can reduce 1171 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1171) ~ (all_0_70_70 = e1) % 18.89/4.89 | (1267) all_0_70_70 = e0 % 18.89/4.89 | % 18.89/4.89 | Equations (1267) can reduce 1187 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (341) all_0_68_68 = e0 % 18.89/4.89 | (361) ~ (all_0_72_72 = e1) % 18.89/4.89 | % 18.89/4.89 | Equations (430) can reduce 361 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (318) ~ (unit = e1) % 18.89/4.89 | (345) unit = e0 % 18.89/4.89 | % 18.89/4.89 | Equations (345) can reduce 769 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (640) all_0_0_0 = e1 % 18.89/4.89 | (652) all_0_2_2 = e3 % 18.89/4.89 | % 18.89/4.89 | From (640) and (248) follows: % 18.89/4.89 | (1277) op(e3, e1) = unit % 18.89/4.89 | % 18.89/4.89 | From (652) and (174) follows: % 18.89/4.89 | (1278) op(e1, e3) = unit % 18.89/4.89 | % 18.89/4.89 | Instantiating formula (218) with e3, e1, unit, all_0_70_70 and discharging atoms op(e3, e1) = all_0_70_70, op(e3, e1) = unit, yields: % 18.89/4.89 | (1279) all_0_70_70 = unit % 18.89/4.89 | % 18.89/4.89 | Instantiating formula (218) with e1, e3, unit, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = unit, yields: % 18.89/4.89 | (1280) all_0_76_76 = unit % 18.89/4.89 | % 18.89/4.89 | Equations (1279) can reduce 152 to: % 18.89/4.89 | (310) ~ (all_0_69_69 = unit) % 18.89/4.89 | % 18.89/4.89 | Equations (1279) can reduce 60 to: % 18.89/4.89 | (1282) ~ (all_0_74_74 = unit) % 18.89/4.89 | % 18.89/4.89 | Simplifying 1282 yields: % 18.89/4.89 | (1283) ~ (all_0_74_74 = unit) % 18.89/4.89 | % 18.89/4.89 | Equations (1279) can reduce 265 to: % 18.89/4.89 | (1284) ~ (all_0_82_82 = unit) % 18.89/4.89 | % 18.89/4.89 | Simplifying 1284 yields: % 18.89/4.89 | (1285) ~ (all_0_82_82 = unit) % 18.89/4.89 | % 18.89/4.89 | Equations (1279) can reduce 296 to: % 18.89/4.89 | (667) ~ (unit = e2) % 18.89/4.89 | % 18.89/4.89 | Equations (1280) can reduce 228 to: % 18.89/4.89 | (1287) ~ (all_0_77_77 = unit) % 18.89/4.89 | % 18.89/4.89 | Simplifying 1287 yields: % 18.89/4.89 | (1288) ~ (all_0_77_77 = unit) % 18.89/4.89 | % 18.89/4.89 | Equations (1280) can reduce 109 to: % 18.89/4.89 | (734) ~ (all_0_78_78 = unit) % 18.89/4.89 | % 18.89/4.89 | Simplifying 734 yields: % 18.89/4.89 | (735) ~ (all_0_78_78 = unit) % 18.89/4.89 | % 18.89/4.89 | Equations (1280) can reduce 264 to: % 18.89/4.89 | (736) ~ (all_0_79_79 = unit) % 18.89/4.89 | % 18.89/4.89 | Simplifying 736 yields: % 18.89/4.89 | (737) ~ (all_0_79_79 = unit) % 18.89/4.89 | % 18.89/4.89 | Equations (1280) can reduce 258 to: % 18.89/4.89 | (315) ~ (all_0_80_80 = unit) % 18.89/4.89 | % 18.89/4.89 | Simplifying 315 yields: % 18.89/4.89 | (316) ~ (all_0_80_80 = unit) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (203), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (354) ~ (all_0_68_68 = e0) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (270), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (319), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (320), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.89/4.89 | % 18.89/4.89 | Applying alpha-rule on (321) yields: % 18.89/4.89 | (322) all_0_68_68 = e3 % 18.89/4.89 | (323) all_0_73_73 = e3 % 18.89/4.89 | (324) all_0_78_78 = e3 % 18.89/4.89 | (325) all_0_83_83 = e3 % 18.89/4.89 | % 18.89/4.89 | Equations (324) can reduce 293 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.89/4.89 | % 18.89/4.89 | Applying alpha-rule on (327) yields: % 18.89/4.89 | (328) all_0_68_68 = e2 % 18.89/4.89 | (329) all_0_73_73 = e2 % 18.89/4.89 | (330) all_0_78_78 = e2 % 18.89/4.89 | (331) all_0_83_83 = e2 % 18.89/4.89 | % 18.89/4.89 | Equations (330) can reduce 295 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.89/4.89 | % 18.89/4.89 | Applying alpha-rule on (333) yields: % 18.89/4.89 | (334) all_0_68_68 = e1 % 18.89/4.89 | (335) all_0_73_73 = e1 % 18.89/4.89 | (336) all_0_78_78 = e1 % 18.89/4.89 | (337) all_0_83_83 = e1 % 18.89/4.89 | % 18.89/4.89 | Equations (336) can reduce 271 to: % 18.89/4.89 | (1315) ~ (all_0_74_74 = e1) % 18.89/4.89 | % 18.89/4.89 | Equations (336) can reduce 735 to: % 18.89/4.89 | (789) ~ (unit = e1) % 18.89/4.89 | % 18.89/4.89 | Simplifying 789 yields: % 18.89/4.89 | (318) ~ (unit = e1) % 18.89/4.89 | % 18.89/4.89 | Equations (337) can reduce 250 to: % 18.89/4.89 | (464) ~ (all_0_79_79 = e1) % 18.89/4.89 | % 18.89/4.89 | Equations (337) can reduce 77 to: % 18.89/4.89 | (419) ~ (all_0_80_80 = e1) % 18.89/4.89 | % 18.89/4.89 | Equations (337) can reduce 42 to: % 18.89/4.89 | (1320) ~ (all_0_82_82 = e1) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (38), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (317) ~ (all_0_68_68 = e1) % 18.89/4.89 | % 18.89/4.89 | Equations (334) can reduce 317 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (334) all_0_68_68 = e1 % 18.89/4.89 | (405) ~ (all_0_80_80 = e2) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (239), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (367) all_0_79_79 = e3 % 18.89/4.89 | % 18.89/4.89 | Equations (367) can reduce 291 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (291) ~ (all_0_79_79 = e3) % 18.89/4.89 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (370), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (371) all_0_79_79 = e2 % 18.89/4.89 | % 18.89/4.89 | Equations (371) can reduce 297 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (297) ~ (all_0_79_79 = e2) % 18.89/4.89 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (374), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (375) all_0_79_79 = e1 % 18.89/4.89 | % 18.89/4.89 | Equations (375) can reduce 464 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (464) ~ (all_0_79_79 = e1) % 18.89/4.89 | (465) all_0_79_79 = e0 % 18.89/4.89 | % 18.89/4.89 | Equations (465) can reduce 737 to: % 18.89/4.89 | (768) ~ (unit = e0) % 18.89/4.89 | % 18.89/4.89 | Simplifying 768 yields: % 18.89/4.89 | (769) ~ (unit = e0) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (35), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1188) all_0_70_70 = e3 % 18.89/4.89 | % 18.89/4.89 | Combining equations (1188,1279) yields a new equation: % 18.89/4.89 | (672) unit = e3 % 18.89/4.89 | % 18.89/4.89 | Equations (672) can reduce 1283 to: % 18.89/4.89 | (738) ~ (all_0_74_74 = e3) % 18.89/4.89 | % 18.89/4.89 | Equations (672) can reduce 316 to: % 18.89/4.89 | (383) ~ (all_0_80_80 = e3) % 18.89/4.89 | % 18.89/4.89 | Equations (672) can reduce 1285 to: % 18.89/4.89 | (1143) ~ (all_0_82_82 = e3) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (238), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (406) all_0_80_80 = e3 % 18.89/4.89 | % 18.89/4.89 | Equations (406) can reduce 383 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (383) ~ (all_0_80_80 = e3) % 18.89/4.89 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (282), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (870) all_0_74_74 = e3 % 18.89/4.89 | % 18.89/4.89 | Equations (870) can reduce 738 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (738) ~ (all_0_74_74 = e3) % 18.89/4.89 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (409), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (414) all_0_80_80 = e2 % 18.89/4.89 | % 18.89/4.89 | Equations (414) can reduce 405 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (405) ~ (all_0_80_80 = e2) % 18.89/4.89 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (875), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1356) all_0_74_74 = e2 % 18.89/4.89 | % 18.89/4.89 | Equations (1356) can reduce 133 to: % 18.89/4.89 | (1357) ~ (all_0_82_82 = e2) % 18.89/4.89 | % 18.89/4.89 | Simplifying 1357 yields: % 18.89/4.89 | (1358) ~ (all_0_82_82 = e2) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (123), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1140) all_0_82_82 = e3 % 18.89/4.89 | % 18.89/4.89 | Equations (1140) can reduce 1143 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1143) ~ (all_0_82_82 = e3) % 18.89/4.89 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (417), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (420) all_0_80_80 = e1 % 18.89/4.89 | % 18.89/4.89 | Equations (420) can reduce 419 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (419) ~ (all_0_80_80 = e1) % 18.89/4.89 | (423) all_0_80_80 = e0 % 18.89/4.89 | % 18.89/4.89 | Equations (423) can reduce 95 to: % 18.89/4.89 | (1367) ~ (all_0_82_82 = e0) % 18.89/4.89 | % 18.89/4.89 | Simplifying 1367 yields: % 18.89/4.89 | (1368) ~ (all_0_82_82 = e0) % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (1144), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1369) all_0_82_82 = e2 % 18.89/4.89 | % 18.89/4.89 | Equations (1369) can reduce 1358 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1358) ~ (all_0_82_82 = e2) % 18.89/4.89 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (1372), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1373) all_0_82_82 = e1 % 18.89/4.89 | % 18.89/4.89 | Equations (1373) can reduce 1320 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1320) ~ (all_0_82_82 = e1) % 18.89/4.89 | (1376) all_0_82_82 = e0 % 18.89/4.89 | % 18.89/4.89 | Equations (1376) can reduce 1368 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1378) ~ (all_0_74_74 = e2) % 18.89/4.89 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 18.89/4.89 | % 18.89/4.89 +-Applying beta-rule and splitting (1379), into two cases. % 18.89/4.89 |-Branch one: % 18.89/4.89 | (1380) all_0_74_74 = e1 % 18.89/4.89 | % 18.89/4.89 | Equations (1380) can reduce 1315 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.89 | (1315) ~ (all_0_74_74 = e1) % 18.89/4.89 | (1383) all_0_74_74 = e0 % 18.89/4.89 | % 18.89/4.89 | Equations (1383) can reduce 292 to: % 18.89/4.89 | (326) $false % 18.89/4.89 | % 18.89/4.89 |-The branch is then unsatisfiable % 18.89/4.89 |-Branch two: % 18.89/4.90 | (1258) ~ (all_0_70_70 = e3) % 18.89/4.90 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (1259), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (1260) all_0_70_70 = e2 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1260,1279) yields a new equation: % 18.89/4.90 | (679) unit = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (679) can reduce 667 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (296) ~ (all_0_70_70 = e2) % 18.89/4.90 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (1263), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (1264) all_0_70_70 = e1 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1264,1279) yields a new equation: % 18.89/4.90 | (338) unit = e1 % 18.89/4.90 | % 18.89/4.90 | Equations (338) can reduce 318 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (1171) ~ (all_0_70_70 = e1) % 18.89/4.90 | (1267) all_0_70_70 = e0 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1267,1279) yields a new equation: % 18.89/4.90 | (345) unit = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (345) can reduce 769 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (340) yields: % 18.89/4.90 | (341) all_0_68_68 = e0 % 18.89/4.90 | (342) all_0_73_73 = e0 % 18.89/4.90 | (343) all_0_78_78 = e0 % 18.89/4.90 | (344) all_0_83_83 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (341) can reduce 354 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (341) all_0_68_68 = e0 % 18.89/4.90 | (361) ~ (all_0_72_72 = e1) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (270), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (319), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (320), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (321) yields: % 18.89/4.90 | (322) all_0_68_68 = e3 % 18.89/4.90 | (323) all_0_73_73 = e3 % 18.89/4.90 | (324) all_0_78_78 = e3 % 18.89/4.90 | (325) all_0_83_83 = e3 % 18.89/4.90 | % 18.89/4.90 | Combining equations (322,341) yields a new equation: % 18.89/4.90 | (1224) e3 = e0 % 18.89/4.90 | % 18.89/4.90 | Simplifying 1224 yields: % 18.89/4.90 | (1225) e3 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (1225) can reduce 44 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (327) yields: % 18.89/4.90 | (328) all_0_68_68 = e2 % 18.89/4.90 | (329) all_0_73_73 = e2 % 18.89/4.90 | (330) all_0_78_78 = e2 % 18.89/4.90 | (331) all_0_83_83 = e2 % 18.89/4.90 | % 18.89/4.90 | Combining equations (328,341) yields a new equation: % 18.89/4.90 | (1226) e2 = e0 % 18.89/4.90 | % 18.89/4.90 | Simplifying 1226 yields: % 18.89/4.90 | (1227) e2 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (1227) can reduce 262 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (333) yields: % 18.89/4.90 | (334) all_0_68_68 = e1 % 18.89/4.90 | (335) all_0_73_73 = e1 % 18.89/4.90 | (336) all_0_78_78 = e1 % 18.89/4.90 | (337) all_0_83_83 = e1 % 18.89/4.90 | % 18.89/4.90 | Combining equations (334,341) yields a new equation: % 18.89/4.90 | (1241) e1 = e0 % 18.89/4.90 | % 18.89/4.90 | Simplifying 1241 yields: % 18.89/4.90 | (632) e1 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (632) can reduce 71 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (340) yields: % 18.89/4.90 | (341) all_0_68_68 = e0 % 18.89/4.90 | (342) all_0_73_73 = e0 % 18.89/4.90 | (343) all_0_78_78 = e0 % 18.89/4.90 | (344) all_0_83_83 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (342) can reduce 220 to: % 18.89/4.90 | (298) ~ (all_0_69_69 = e0) % 18.89/4.90 | % 18.89/4.90 | Equations (343) can reduce 219 to: % 18.89/4.90 | (350) ~ (all_0_77_77 = e0) % 18.89/4.90 | % 18.89/4.90 | Equations (343) can reduce 735 to: % 18.89/4.90 | (768) ~ (unit = e0) % 18.89/4.90 | % 18.89/4.90 | Simplifying 768 yields: % 18.89/4.90 | (769) ~ (unit = e0) % 18.89/4.90 | % 18.89/4.90 | Equations (344) can reduce 250 to: % 18.89/4.90 | (351) ~ (all_0_79_79 = e0) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (202), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (366) ~ (all_0_69_69 = e1) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (239), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (367) all_0_79_79 = e3 % 18.89/4.90 | % 18.89/4.90 | Equations (367) can reduce 291 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (291) ~ (all_0_79_79 = e3) % 18.89/4.90 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (370), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (371) all_0_79_79 = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 297 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (297) ~ (all_0_79_79 = e2) % 18.89/4.90 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (374), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (375) all_0_79_79 = e1 % 18.89/4.90 | % 18.89/4.90 | Equations (375) can reduce 5 to: % 18.89/4.90 | (377) ~ (all_0_77_77 = e1) % 18.89/4.90 | % 18.89/4.90 | Equations (375) can reduce 737 to: % 18.89/4.90 | (789) ~ (unit = e1) % 18.89/4.90 | % 18.89/4.90 | Simplifying 789 yields: % 18.89/4.90 | (318) ~ (unit = e1) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (125), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (672) unit = e3 % 18.89/4.90 | % 18.89/4.90 | Equations (672) can reduce 310 to: % 18.89/4.90 | (435) ~ (all_0_69_69 = e3) % 18.89/4.90 | % 18.89/4.90 | Equations (672) can reduce 1288 to: % 18.89/4.90 | (365) ~ (all_0_77_77 = e3) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (101), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (396) all_0_69_69 = e3 % 18.89/4.90 | % 18.89/4.90 | Equations (396) can reduce 435 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (435) ~ (all_0_69_69 = e3) % 18.89/4.90 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (237), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (384) all_0_77_77 = e3 % 18.89/4.90 | % 18.89/4.90 | Equations (384) can reduce 365 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (365) ~ (all_0_77_77 = e3) % 18.89/4.90 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (387), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (388) all_0_77_77 = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (388) can reduce 225 to: % 18.89/4.90 | (389) ~ (all_0_69_69 = e2) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (436), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (437) all_0_69_69 = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (437) can reduce 389 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (389) ~ (all_0_69_69 = e2) % 18.89/4.90 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (440), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (441) all_0_69_69 = e1 % 18.89/4.90 | % 18.89/4.90 | Equations (441) can reduce 366 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (366) ~ (all_0_69_69 = e1) % 18.89/4.90 | (444) all_0_69_69 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (444) can reduce 298 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (446) ~ (all_0_77_77 = e2) % 18.89/4.90 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (447), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (448) all_0_77_77 = e1 % 18.89/4.90 | % 18.89/4.90 | Equations (448) can reduce 377 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (377) ~ (all_0_77_77 = e1) % 18.89/4.90 | (451) all_0_77_77 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (451) can reduce 350 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (666) ~ (unit = e3) % 18.89/4.90 | (794) unit = e2 | unit = e1 | unit = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (794), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (679) unit = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (679) can reduce 667 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (667) ~ (unit = e2) % 18.89/4.90 | (825) unit = e1 | unit = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (35), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (1188) all_0_70_70 = e3 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1188,1279) yields a new equation: % 18.89/4.90 | (672) unit = e3 % 18.89/4.90 | % 18.89/4.90 | Equations (672) can reduce 666 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (1258) ~ (all_0_70_70 = e3) % 18.89/4.90 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (1259), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (1260) all_0_70_70 = e2 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1260,1279) yields a new equation: % 18.89/4.90 | (679) unit = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (679) can reduce 667 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (296) ~ (all_0_70_70 = e2) % 18.89/4.90 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (1263), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (1264) all_0_70_70 = e1 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1264,1279) yields a new equation: % 18.89/4.90 | (338) unit = e1 % 18.89/4.90 | % 18.89/4.90 | Equations (338) can reduce 318 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (1171) ~ (all_0_70_70 = e1) % 18.89/4.90 | (1267) all_0_70_70 = e0 % 18.89/4.90 | % 18.89/4.90 | Combining equations (1267,1279) yields a new equation: % 18.89/4.90 | (345) unit = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (345) can reduce 769 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (464) ~ (all_0_79_79 = e1) % 18.89/4.90 | (465) all_0_79_79 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (465) can reduce 351 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (441) all_0_69_69 = e1 % 18.89/4.90 | (362) ~ (all_0_73_73 = e0) % 18.89/4.90 | % 18.89/4.90 | Equations (342) can reduce 362 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (444) all_0_69_69 = e0 % 18.89/4.90 | (514) ~ (all_0_73_73 = e1) % 18.89/4.90 | % 18.89/4.90 | Equations (444) can reduce 220 to: % 18.89/4.90 | (1516) ~ (all_0_73_73 = e0) % 18.89/4.90 | % 18.89/4.90 | Simplifying 1516 yields: % 18.89/4.90 | (362) ~ (all_0_73_73 = e0) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (270), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (319), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 18.89/4.90 | % 18.89/4.90 +-Applying beta-rule and splitting (320), into two cases. % 18.89/4.90 |-Branch one: % 18.89/4.90 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (321) yields: % 18.89/4.90 | (322) all_0_68_68 = e3 % 18.89/4.90 | (323) all_0_73_73 = e3 % 18.89/4.90 | (324) all_0_78_78 = e3 % 18.89/4.90 | (325) all_0_83_83 = e3 % 18.89/4.90 | % 18.89/4.90 | Equations (324) can reduce 293 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (327) yields: % 18.89/4.90 | (328) all_0_68_68 = e2 % 18.89/4.90 | (329) all_0_73_73 = e2 % 18.89/4.90 | (330) all_0_78_78 = e2 % 18.89/4.90 | (331) all_0_83_83 = e2 % 18.89/4.90 | % 18.89/4.90 | Equations (330) can reduce 295 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (333) yields: % 18.89/4.90 | (334) all_0_68_68 = e1 % 18.89/4.90 | (335) all_0_73_73 = e1 % 18.89/4.90 | (336) all_0_78_78 = e1 % 18.89/4.90 | (337) all_0_83_83 = e1 % 18.89/4.90 | % 18.89/4.90 | Equations (335) can reduce 514 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 18.89/4.90 | % 18.89/4.90 | Applying alpha-rule on (340) yields: % 18.89/4.90 | (341) all_0_68_68 = e0 % 18.89/4.90 | (342) all_0_73_73 = e0 % 18.89/4.90 | (343) all_0_78_78 = e0 % 18.89/4.90 | (344) all_0_83_83 = e0 % 18.89/4.90 | % 18.89/4.90 | Equations (342) can reduce 362 to: % 18.89/4.90 | (326) $false % 18.89/4.90 | % 18.89/4.90 |-The branch is then unsatisfiable % 18.89/4.90 |-Branch two: % 18.89/4.90 | (371) all_0_79_79 = e2 % 18.89/4.90 | (1089) ~ (all_0_83_83 = e3) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 110 to: % 18.89/4.90 | (509) ~ (all_0_71_71 = e2) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 221 to: % 18.89/4.90 | (881) ~ (all_0_75_75 = e2) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 264 to: % 18.89/4.90 | (357) ~ (all_0_76_76 = e2) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 5 to: % 18.89/4.90 | (446) ~ (all_0_77_77 = e2) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 7 to: % 18.89/4.90 | (295) ~ (all_0_78_78 = e2) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 250 to: % 18.89/4.90 | (1551) ~ (all_0_83_83 = e2) % 18.89/4.90 | % 18.89/4.90 | Simplifying 1551 yields: % 18.89/4.90 | (1552) ~ (all_0_83_83 = e2) % 18.89/4.90 | % 18.89/4.90 | Equations (371) can reduce 291 to: % 18.89/4.91 | (1553) ~ (e3 = e2) % 18.89/4.91 | % 18.89/4.91 | Simplifying 1553 yields: % 18.89/4.91 | (129) ~ (e3 = e2) % 18.89/4.91 | % 18.89/4.91 | From (371) and (193) follows: % 19.02/4.91 | (1555) op(e2, e3) = all_0_48_48 % 19.02/4.91 | % 19.02/4.91 | From (371) and (144) follows: % 19.02/4.91 | (1556) op(e2, e2) = all_0_49_49 % 19.02/4.91 | % 19.02/4.91 | From (371) and (90) follows: % 19.02/4.91 | (1557) op(e2, e1) = all_0_50_50 % 19.02/4.91 | % 19.02/4.91 | From (371) and (217) follows: % 19.02/4.91 | (1558) op(e2, e0) = all_0_51_51 % 19.02/4.91 | % 19.02/4.91 | From (371) and (134) follows: % 19.02/4.91 | (1559) op(e3, e2) = all_0_15_15 % 19.02/4.91 | % 19.02/4.91 | From (371) and (26) follows: % 19.02/4.91 | (1560) op(e2, e2) = all_0_31_31 % 19.02/4.91 | % 19.02/4.91 | From (371) and (283) follows: % 19.02/4.91 | (1561) op(e1, e2) = all_0_47_47 % 19.02/4.91 | % 19.02/4.91 | From (371) and (242) follows: % 19.02/4.91 | (1562) op(e1, e0) = e2 % 19.02/4.91 | % 19.02/4.91 | From (371) and (223) follows: % 19.02/4.91 | (1563) op(e0, e2) = all_0_63_63 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e3, e2, all_0_15_15, all_0_69_69 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_69_69, yields: % 19.02/4.91 | (1564) all_0_15_15 = all_0_69_69 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e2, e3, all_0_48_48, all_0_72_72 and discharging atoms op(e2, e3) = all_0_48_48, op(e2, e3) = all_0_72_72, yields: % 19.02/4.91 | (1565) all_0_48_48 = all_0_72_72 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e2, e2, all_0_31_31, all_0_73_73 and discharging atoms op(e2, e2) = all_0_31_31, op(e2, e2) = all_0_73_73, yields: % 19.02/4.91 | (1566) all_0_31_31 = all_0_73_73 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e2, e2, all_0_49_49, all_0_31_31 and discharging atoms op(e2, e2) = all_0_31_31, op(e2, e2) = all_0_49_49, yields: % 19.02/4.91 | (1567) all_0_31_31 = all_0_49_49 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e2, e1, all_0_50_50, all_0_74_74 and discharging atoms op(e2, e1) = all_0_50_50, op(e2, e1) = all_0_74_74, yields: % 19.02/4.91 | (1568) all_0_50_50 = all_0_74_74 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e2, e0, all_0_51_51, all_0_75_75 and discharging atoms op(e2, e0) = all_0_51_51, op(e2, e0) = all_0_75_75, yields: % 19.02/4.91 | (1569) all_0_51_51 = all_0_75_75 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e1, e2, all_0_47_47, all_0_77_77 and discharging atoms op(e1, e2) = all_0_47_47, op(e1, e2) = all_0_77_77, yields: % 19.02/4.91 | (1570) all_0_47_47 = all_0_77_77 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e0, e2, all_0_63_63, all_0_81_81 and discharging atoms op(e0, e2) = all_0_63_63, op(e0, e2) = all_0_81_81, yields: % 19.02/4.91 | (1571) all_0_63_63 = all_0_81_81 % 19.02/4.91 | % 19.02/4.91 | Combining equations (1566,1567) yields a new equation: % 19.02/4.91 | (1572) all_0_49_49 = all_0_73_73 % 19.02/4.91 | % 19.02/4.91 | Combining equations (1572,1567) yields a new equation: % 19.02/4.91 | (1566) all_0_31_31 = all_0_73_73 % 19.02/4.91 | % 19.02/4.91 | From (1564) and (41) follows: % 19.02/4.91 | (1574) op(all_0_70_70, e0) = all_0_69_69 % 19.02/4.91 | % 19.02/4.91 | From (1566) and (268) follows: % 19.02/4.91 | (1575) op(all_0_74_74, e0) = all_0_73_73 % 19.02/4.91 | % 19.02/4.91 | From (1570) and (181) follows: % 19.02/4.91 | (1576) op(all_0_78_78, e0) = all_0_77_77 % 19.02/4.91 | % 19.02/4.91 | From (1564) and (1559) follows: % 19.02/4.91 | (224) op(e3, e2) = all_0_69_69 % 19.02/4.91 | % 19.02/4.91 | From (1565) and (1555) follows: % 19.02/4.91 | (29) op(e2, e3) = all_0_72_72 % 19.02/4.91 | % 19.02/4.91 | From (1572) and (1556) follows: % 19.02/4.91 | (47) op(e2, e2) = all_0_73_73 % 19.02/4.91 | % 19.02/4.91 | From (1568) and (1557) follows: % 19.02/4.91 | (247) op(e2, e1) = all_0_74_74 % 19.02/4.91 | % 19.02/4.91 | From (1569) and (1558) follows: % 19.02/4.91 | (87) op(e2, e0) = all_0_75_75 % 19.02/4.91 | % 19.02/4.91 | From (1572) and (74) follows: % 19.02/4.91 | (1582) op(e1, all_0_81_81) = all_0_73_73 % 19.02/4.91 | % 19.02/4.91 | From (1569) and (91) follows: % 19.02/4.91 | (1583) op(e1, all_0_83_83) = all_0_75_75 % 19.02/4.91 | % 19.02/4.91 | From (1570) and (1561) follows: % 19.02/4.91 | (113) op(e1, e2) = all_0_77_77 % 19.02/4.91 | % 19.02/4.91 | From (1571) and (1563) follows: % 19.02/4.91 | (126) op(e0, e2) = all_0_81_81 % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (79), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (299) ~ (all_0_0_0 = e1) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (192), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (649) ~ (all_0_2_2 = e3) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (279), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (301) ~ (all_0_0_0 = e2) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (68), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (300) ~ (all_0_1_1 = e3) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (107), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (877) ~ (all_0_75_75 = e3) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (39), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (303) ~ (all_0_2_2 = e2) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (30), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (302) ~ (all_0_1_1 = e1) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (186), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1593) ~ (all_0_73_73 = e3) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (97), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1251) ~ (all_0_68_68 = e2) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (285), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1040) ~ (all_0_3_3 = e2) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (156), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1596) ~ (all_0_1_1 = e0) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (260), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1033) all_0_1_1 = e3 % 19.02/4.91 | % 19.02/4.91 | Equations (1033) can reduce 300 to: % 19.02/4.91 | (326) $false % 19.02/4.91 | % 19.02/4.91 |-The branch is then unsatisfiable % 19.02/4.91 |-Branch two: % 19.02/4.91 | (300) ~ (all_0_1_1 = e3) % 19.02/4.91 | (1600) all_0_1_1 = e2 | all_0_1_1 = e1 | all_0_1_1 = e0 % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (1600), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1601) all_0_1_1 = e2 % 19.02/4.91 | % 19.02/4.91 | Equations (1601) can reduce 12 to: % 19.02/4.91 | (301) ~ (all_0_0_0 = e2) % 19.02/4.91 | % 19.02/4.91 | Equations (1601) can reduce 209 to: % 19.02/4.91 | (1037) ~ (all_0_2_2 = e2) % 19.02/4.91 | % 19.02/4.91 | Simplifying 1037 yields: % 19.02/4.91 | (303) ~ (all_0_2_2 = e2) % 19.02/4.91 | % 19.02/4.91 | Equations (1601) can reduce 161 to: % 19.02/4.91 | (1039) ~ (all_0_3_3 = e2) % 19.02/4.91 | % 19.02/4.91 | Simplifying 1039 yields: % 19.02/4.91 | (1040) ~ (all_0_3_3 = e2) % 19.02/4.91 | % 19.02/4.91 | From (1601) and (234) follows: % 19.02/4.91 | (1607) op(e2, e2) = unit % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e2, e2, unit, all_0_73_73 and discharging atoms op(e2, e2) = all_0_73_73, op(e2, e2) = unit, yields: % 19.02/4.91 | (1608) all_0_73_73 = unit % 19.02/4.91 | % 19.02/4.91 | From (1608) and (207) follows: % 19.02/4.91 | (1609) op(e1, unit) = all_0_41_41 % 19.02/4.91 | % 19.02/4.91 | From (1608) and (140) follows: % 19.02/4.91 | (1610) op(e0, unit) = all_0_57_57 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e1, unit, all_0_41_41, e1 and discharging atoms op(e1, unit) = all_0_41_41, op(e1, unit) = e1, yields: % 19.02/4.91 | (1611) all_0_41_41 = e1 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e0, unit, all_0_57_57, e0 and discharging atoms op(e0, unit) = all_0_57_57, op(e0, unit) = e0, yields: % 19.02/4.91 | (1612) all_0_57_57 = e0 % 19.02/4.91 | % 19.02/4.91 | From (1611) and (1609) follows: % 19.02/4.91 | (151) op(e1, unit) = e1 % 19.02/4.91 | % 19.02/4.91 | From (1612) and (1610) follows: % 19.02/4.91 | (163) op(e0, unit) = e0 % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (286), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (1044) ~ (all_0_3_3 = e3) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (236), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (304) ~ (all_0_0_0 = e0) % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (115), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.91 | (305) all_0_0_0 = e3 % 19.02/4.91 | % 19.02/4.91 | Equations (305) can reduce 240 to: % 19.02/4.91 | (1041) ~ (all_0_2_2 = e3) % 19.02/4.91 | % 19.02/4.91 | Simplifying 1041 yields: % 19.02/4.91 | (649) ~ (all_0_2_2 = e3) % 19.02/4.91 | % 19.02/4.91 | Equations (305) can reduce 145 to: % 19.02/4.91 | (1043) ~ (all_0_3_3 = e3) % 19.02/4.91 | % 19.02/4.91 | Simplifying 1043 yields: % 19.02/4.91 | (1044) ~ (all_0_3_3 = e3) % 19.02/4.91 | % 19.02/4.91 | From (305) and (248) follows: % 19.02/4.91 | (307) op(e3, e3) = unit % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e3, e3, unit, all_0_68_68 and discharging atoms op(e3, e3) = all_0_68_68, op(e3, e3) = unit, yields: % 19.02/4.91 | (308) all_0_68_68 = unit % 19.02/4.91 | % 19.02/4.91 | Equations (308) can reduce 1251 to: % 19.02/4.91 | (667) ~ (unit = e2) % 19.02/4.91 | % 19.02/4.91 | From (308) and (32) follows: % 19.02/4.91 | (1625) op(e1, unit) = all_0_36_36 % 19.02/4.91 | % 19.02/4.91 | From (308) and (72) follows: % 19.02/4.91 | (1626) op(e0, unit) = all_0_52_52 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e1, unit, all_0_36_36, e1 and discharging atoms op(e1, unit) = all_0_36_36, op(e1, unit) = e1, yields: % 19.02/4.91 | (1627) all_0_36_36 = e1 % 19.02/4.91 | % 19.02/4.91 | Instantiating formula (218) with e0, unit, all_0_52_52, e0 and discharging atoms op(e0, unit) = all_0_52_52, op(e0, unit) = e0, yields: % 19.02/4.91 | (1628) all_0_52_52 = e0 % 19.02/4.91 | % 19.02/4.91 | From (1627) and (1625) follows: % 19.02/4.91 | (151) op(e1, unit) = e1 % 19.02/4.91 | % 19.02/4.91 | From (1628) and (1626) follows: % 19.02/4.91 | (163) op(e0, unit) = e0 % 19.02/4.91 | % 19.02/4.91 +-Applying beta-rule and splitting (96), into two cases. % 19.02/4.91 |-Branch one: % 19.02/4.92 | (648) ~ (all_0_2_2 = e0) % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (154), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (1053) ~ (all_0_3_3 = e1) % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (119), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (646) all_0_3_3 = e3 % 19.02/4.92 | % 19.02/4.92 | Equations (646) can reduce 1044 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (1044) ~ (all_0_3_3 = e3) % 19.02/4.92 | (1057) all_0_3_3 = e2 | all_0_3_3 = e1 | all_0_3_3 = e0 % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (121), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (652) all_0_2_2 = e3 % 19.02/4.92 | % 19.02/4.92 | Equations (652) can reduce 649 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (649) ~ (all_0_2_2 = e3) % 19.02/4.92 | (655) all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0 % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (1057), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (1062) all_0_3_3 = e2 % 19.02/4.92 | % 19.02/4.92 | Equations (1062) can reduce 1040 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (1040) ~ (all_0_3_3 = e2) % 19.02/4.92 | (1065) all_0_3_3 = e1 | all_0_3_3 = e0 % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (655), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (656) all_0_2_2 = e2 % 19.02/4.92 | % 19.02/4.92 | Equations (656) can reduce 303 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (303) ~ (all_0_2_2 = e2) % 19.02/4.92 | (659) all_0_2_2 = e1 | all_0_2_2 = e0 % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (1065), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (1066) all_0_3_3 = e1 % 19.02/4.92 | % 19.02/4.92 | Equations (1066) can reduce 1053 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (1053) ~ (all_0_3_3 = e1) % 19.02/4.92 | (1069) all_0_3_3 = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (1069) can reduce 20 to: % 19.02/4.92 | (648) ~ (all_0_2_2 = e0) % 19.02/4.92 | % 19.02/4.92 | From (1069) and (49) follows: % 19.02/4.92 | (1071) op(e0, e0) = unit % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (659), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (660) all_0_2_2 = e1 % 19.02/4.92 | % 19.02/4.92 | From (660) and (174) follows: % 19.02/4.92 | (661) op(e1, e1) = unit % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e1, e1, unit, all_0_78_78 and discharging atoms op(e1, e1) = all_0_78_78, op(e1, e1) = unit, yields: % 19.02/4.92 | (663) all_0_78_78 = unit % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e0, e0, unit, all_0_83_83 and discharging atoms op(e0, e0) = all_0_83_83, op(e0, e0) = unit, yields: % 19.02/4.92 | (1079) all_0_83_83 = unit % 19.02/4.92 | % 19.02/4.92 | Equations (1079) can reduce 196 to: % 19.02/4.92 | (732) ~ (all_0_75_75 = unit) % 19.02/4.92 | % 19.02/4.92 | Equations (663) can reduce 219 to: % 19.02/4.92 | (1288) ~ (all_0_77_77 = unit) % 19.02/4.92 | % 19.02/4.92 | Equations (1079) can reduce 1089 to: % 19.02/4.92 | (666) ~ (unit = e3) % 19.02/4.92 | % 19.02/4.92 | Equations (1079) can reduce 1552 to: % 19.02/4.92 | (667) ~ (unit = e2) % 19.02/4.92 | % 19.02/4.92 | From (663) and (66) follows: % 19.02/4.92 | (1663) op(unit, e1) = all_0_46_46 % 19.02/4.92 | % 19.02/4.92 | From (663) and (1576) follows: % 19.02/4.92 | (1664) op(unit, e0) = all_0_77_77 % 19.02/4.92 | % 19.02/4.92 | From (1079) and (274) follows: % 19.02/4.92 | (1665) op(unit, e1) = all_0_66_66 % 19.02/4.92 | % 19.02/4.92 | From (1079) and (136) follows: % 19.02/4.92 | (1666) op(unit, e0) = all_0_67_67 % 19.02/4.92 | % 19.02/4.92 | From (663) and (3) follows: % 19.02/4.92 | (1667) op(e1, unit) = all_0_46_46 % 19.02/4.92 | % 19.02/4.92 | From (1079) and (1583) follows: % 19.02/4.92 | (1668) op(e1, unit) = all_0_75_75 % 19.02/4.92 | % 19.02/4.92 | From (663) and (197) follows: % 19.02/4.92 | (1669) op(e0, unit) = all_0_62_62 % 19.02/4.92 | % 19.02/4.92 | From (1079) and (272) follows: % 19.02/4.92 | (1670) op(e0, unit) = all_0_67_67 % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with unit, e1, all_0_66_66, all_0_46_46 and discharging atoms op(unit, e1) = all_0_46_46, op(unit, e1) = all_0_66_66, yields: % 19.02/4.92 | (1671) all_0_46_46 = all_0_66_66 % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with unit, e0, all_0_77_77, all_0_67_67 and discharging atoms op(unit, e0) = all_0_67_67, op(unit, e0) = all_0_77_77, yields: % 19.02/4.92 | (1672) all_0_67_67 = all_0_77_77 % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e1, unit, all_0_46_46, e1 and discharging atoms op(e1, unit) = all_0_46_46, op(e1, unit) = e1, yields: % 19.02/4.92 | (1673) all_0_46_46 = e1 % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e1, unit, all_0_75_75, all_0_46_46 and discharging atoms op(e1, unit) = all_0_46_46, op(e1, unit) = all_0_75_75, yields: % 19.02/4.92 | (1674) all_0_46_46 = all_0_75_75 % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e0, unit, all_0_62_62, e0 and discharging atoms op(e0, unit) = all_0_62_62, op(e0, unit) = e0, yields: % 19.02/4.92 | (1675) all_0_62_62 = e0 % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e0, unit, all_0_67_67, all_0_62_62 and discharging atoms op(e0, unit) = all_0_62_62, op(e0, unit) = all_0_67_67, yields: % 19.02/4.92 | (1676) all_0_62_62 = all_0_67_67 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1673,1671) yields a new equation: % 19.02/4.92 | (1677) all_0_66_66 = e1 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1674,1671) yields a new equation: % 19.02/4.92 | (1678) all_0_66_66 = all_0_75_75 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1675,1676) yields a new equation: % 19.02/4.92 | (1679) all_0_67_67 = e0 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1678,1677) yields a new equation: % 19.02/4.92 | (1680) all_0_75_75 = e1 % 19.02/4.92 | % 19.02/4.92 | Simplifying 1680 yields: % 19.02/4.92 | (895) all_0_75_75 = e1 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1672,1679) yields a new equation: % 19.02/4.92 | (1682) all_0_77_77 = e0 % 19.02/4.92 | % 19.02/4.92 | Simplifying 1682 yields: % 19.02/4.92 | (451) all_0_77_77 = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (895) can reduce 732 to: % 19.02/4.92 | (789) ~ (unit = e1) % 19.02/4.92 | % 19.02/4.92 | Simplifying 789 yields: % 19.02/4.92 | (318) ~ (unit = e1) % 19.02/4.92 | % 19.02/4.92 | Equations (451) can reduce 1288 to: % 19.02/4.92 | (768) ~ (unit = e0) % 19.02/4.92 | % 19.02/4.92 | Simplifying 768 yields: % 19.02/4.92 | (769) ~ (unit = e0) % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (270), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (319), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (320), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.02/4.92 | % 19.02/4.92 | Applying alpha-rule on (321) yields: % 19.02/4.92 | (322) all_0_68_68 = e3 % 19.02/4.92 | (323) all_0_73_73 = e3 % 19.02/4.92 | (324) all_0_78_78 = e3 % 19.02/4.92 | (325) all_0_83_83 = e3 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1079,325) yields a new equation: % 19.02/4.92 | (671) unit = e3 % 19.02/4.92 | % 19.02/4.92 | Simplifying 671 yields: % 19.02/4.92 | (672) unit = e3 % 19.02/4.92 | % 19.02/4.92 | Equations (672) can reduce 666 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.02/4.92 | % 19.02/4.92 | Applying alpha-rule on (327) yields: % 19.02/4.92 | (328) all_0_68_68 = e2 % 19.02/4.92 | (329) all_0_73_73 = e2 % 19.02/4.92 | (330) all_0_78_78 = e2 % 19.02/4.92 | (331) all_0_83_83 = e2 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1079,331) yields a new equation: % 19.02/4.92 | (678) unit = e2 % 19.02/4.92 | % 19.02/4.92 | Simplifying 678 yields: % 19.02/4.92 | (679) unit = e2 % 19.02/4.92 | % 19.02/4.92 | Equations (679) can reduce 667 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.02/4.92 | % 19.02/4.92 | Applying alpha-rule on (333) yields: % 19.02/4.92 | (334) all_0_68_68 = e1 % 19.02/4.92 | (335) all_0_73_73 = e1 % 19.02/4.92 | (336) all_0_78_78 = e1 % 19.02/4.92 | (337) all_0_83_83 = e1 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1079,337) yields a new equation: % 19.02/4.92 | (1115) unit = e1 % 19.02/4.92 | % 19.02/4.92 | Simplifying 1115 yields: % 19.02/4.92 | (338) unit = e1 % 19.02/4.92 | % 19.02/4.92 | Equations (338) can reduce 318 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.02/4.92 | % 19.02/4.92 | Applying alpha-rule on (340) yields: % 19.02/4.92 | (341) all_0_68_68 = e0 % 19.02/4.92 | (342) all_0_73_73 = e0 % 19.02/4.92 | (343) all_0_78_78 = e0 % 19.02/4.92 | (344) all_0_83_83 = e0 % 19.02/4.92 | % 19.02/4.92 | Combining equations (1079,344) yields a new equation: % 19.02/4.92 | (1123) unit = e0 % 19.02/4.92 | % 19.02/4.92 | Simplifying 1123 yields: % 19.02/4.92 | (345) unit = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (345) can reduce 769 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (714) ~ (all_0_2_2 = e1) % 19.02/4.92 | (715) all_0_2_2 = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (715) can reduce 648 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (1066) all_0_3_3 = e1 % 19.02/4.92 | (715) all_0_2_2 = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (715) can reduce 648 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (715) all_0_2_2 = e0 % 19.02/4.92 | (1066) all_0_3_3 = e1 % 19.02/4.92 | % 19.02/4.92 | From (715) and (174) follows: % 19.02/4.92 | (1131) op(e1, e0) = unit % 19.02/4.92 | % 19.02/4.92 | Instantiating formula (218) with e1, e0, unit, e2 and discharging atoms op(e1, e0) = unit, op(e1, e0) = e2, yields: % 19.02/4.92 | (679) unit = e2 % 19.02/4.92 | % 19.02/4.92 | Equations (679) can reduce 667 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (634) ~ (all_0_0_0 = e3) % 19.02/4.92 | (635) all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0 % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (635), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (636) all_0_0_0 = e2 % 19.02/4.92 | % 19.02/4.92 | Equations (636) can reduce 301 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (301) ~ (all_0_0_0 = e2) % 19.02/4.92 | (639) all_0_0_0 = e1 | all_0_0_0 = e0 % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (639), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (640) all_0_0_0 = e1 % 19.02/4.92 | % 19.02/4.92 | Equations (640) can reduce 299 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (299) ~ (all_0_0_0 = e1) % 19.02/4.92 | (643) all_0_0_0 = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (643) can reduce 304 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (643) all_0_0_0 = e0 % 19.02/4.92 | (646) all_0_3_3 = e3 % 19.02/4.92 | % 19.02/4.92 | Equations (646) can reduce 1044 to: % 19.02/4.92 | (326) $false % 19.02/4.92 | % 19.02/4.92 |-The branch is then unsatisfiable % 19.02/4.92 |-Branch two: % 19.02/4.92 | (646) all_0_3_3 = e3 % 19.02/4.92 | (643) all_0_0_0 = e0 % 19.02/4.92 | % 19.02/4.92 | Equations (643) can reduce 240 to: % 19.02/4.92 | (647) ~ (all_0_2_2 = e0) % 19.02/4.92 | % 19.02/4.92 | Simplifying 647 yields: % 19.02/4.92 | (648) ~ (all_0_2_2 = e0) % 19.02/4.92 | % 19.02/4.92 | Equations (646) can reduce 20 to: % 19.02/4.92 | (649) ~ (all_0_2_2 = e3) % 19.02/4.92 | % 19.02/4.92 | From (643) and (248) follows: % 19.02/4.92 | (650) op(e3, e0) = unit % 19.02/4.92 | % 19.02/4.92 | From (646) and (49) follows: % 19.02/4.92 | (651) op(e0, e3) = unit % 19.02/4.92 | % 19.02/4.92 +-Applying beta-rule and splitting (121), into two cases. % 19.02/4.92 |-Branch one: % 19.02/4.92 | (652) all_0_2_2 = e3 % 19.02/4.92 | % 19.02/4.93 | Equations (652) can reduce 649 to: % 19.02/4.93 | (326) $false % 19.02/4.93 | % 19.02/4.93 |-The branch is then unsatisfiable % 19.02/4.93 |-Branch two: % 19.02/4.93 | (649) ~ (all_0_2_2 = e3) % 19.02/4.93 | (655) all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0 % 19.02/4.93 | % 19.02/4.93 +-Applying beta-rule and splitting (655), into two cases. % 19.02/4.93 |-Branch one: % 19.02/4.93 | (656) all_0_2_2 = e2 % 19.02/4.93 | % 19.02/4.93 | Equations (656) can reduce 303 to: % 19.02/4.93 | (326) $false % 19.02/4.93 | % 19.02/4.93 |-The branch is then unsatisfiable % 19.02/4.93 |-Branch two: % 19.02/4.93 | (303) ~ (all_0_2_2 = e2) % 19.02/4.93 | (659) all_0_2_2 = e1 | all_0_2_2 = e0 % 19.02/4.93 | % 19.02/4.93 +-Applying beta-rule and splitting (659), into two cases. % 19.02/4.93 |-Branch one: % 19.02/4.93 | (660) all_0_2_2 = e1 % 19.02/4.93 | % 19.02/4.93 | From (660) and (174) follows: % 19.02/4.93 | (661) op(e1, e1) = unit % 19.02/4.93 | % 19.02/4.93 | Instantiating formula (218) with e3, e0, unit, all_0_71_71 and discharging atoms op(e3, e0) = all_0_71_71, op(e3, e0) = unit, yields: % 19.02/4.93 | (662) all_0_71_71 = unit % 19.02/4.93 | % 19.02/4.93 | Instantiating formula (218) with e1, e1, unit, all_0_78_78 and discharging atoms op(e1, e1) = all_0_78_78, op(e1, e1) = unit, yields: % 19.02/4.93 | (663) all_0_78_78 = unit % 19.02/4.93 | % 19.02/4.93 | Instantiating formula (218) with e0, e3, unit, all_0_80_80 and discharging atoms op(e0, e3) = all_0_80_80, op(e0, e3) = unit, yields: % 19.02/4.93 | (664) all_0_80_80 = unit % 19.02/4.93 | % 19.02/4.93 | Equations (662) can reduce 294 to: % 19.02/4.93 | (318) ~ (unit = e1) % 19.02/4.93 | % 19.02/4.93 | Equations (663) can reduce 293 to: % 19.02/4.93 | (666) ~ (unit = e3) % 19.02/4.93 | % 19.02/4.93 | Equations (663) can reduce 295 to: % 19.02/4.93 | (667) ~ (unit = e2) % 19.02/4.93 | % 19.02/4.93 | Equations (664) can reduce 77 to: % 19.02/4.93 | (668) ~ (all_0_83_83 = unit) % 19.02/4.93 | % 19.02/4.93 | Simplifying 668 yields: % 19.02/4.93 | (669) ~ (all_0_83_83 = unit) % 19.02/4.93 | % 19.02/4.93 +-Applying beta-rule and splitting (270), into two cases. % 19.02/4.93 |-Branch one: % 19.02/4.93 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.02/4.93 | % 19.02/4.93 +-Applying beta-rule and splitting (319), into two cases. % 19.02/4.93 |-Branch one: % 19.02/4.93 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.02/4.93 | % 19.02/4.93 +-Applying beta-rule and splitting (320), into two cases. % 19.02/4.93 |-Branch one: % 19.02/4.93 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.02/4.93 | % 19.02/4.93 | Applying alpha-rule on (321) yields: % 19.02/4.93 | (322) all_0_68_68 = e3 % 19.02/4.93 | (323) all_0_73_73 = e3 % 19.02/4.93 | (324) all_0_78_78 = e3 % 19.02/4.93 | (325) all_0_83_83 = e3 % 19.02/4.93 | % 19.02/4.93 | Combining equations (324,663) yields a new equation: % 19.02/4.93 | (672) unit = e3 % 19.02/4.93 | % 19.02/4.93 | Equations (672) can reduce 666 to: % 19.02/4.93 | (326) $false % 19.02/4.93 | % 19.02/4.93 |-The branch is then unsatisfiable % 19.02/4.93 |-Branch two: % 19.02/4.93 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.02/4.93 | % 19.02/4.93 | Applying alpha-rule on (327) yields: % 19.02/4.93 | (328) all_0_68_68 = e2 % 19.02/4.93 | (329) all_0_73_73 = e2 % 19.02/4.93 | (330) all_0_78_78 = e2 % 19.02/4.93 | (331) all_0_83_83 = e2 % 19.02/4.93 | % 19.02/4.93 | Combining equations (330,663) yields a new equation: % 19.02/4.93 | (679) unit = e2 % 19.02/4.93 | % 19.02/4.93 | Equations (679) can reduce 667 to: % 19.02/4.93 | (326) $false % 19.02/4.93 | % 19.02/4.93 |-The branch is then unsatisfiable % 19.02/4.93 |-Branch two: % 19.02/4.93 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.02/4.93 | % 19.02/4.93 | Applying alpha-rule on (333) yields: % 19.02/4.93 | (334) all_0_68_68 = e1 % 19.02/4.93 | (335) all_0_73_73 = e1 % 19.02/4.93 | (336) all_0_78_78 = e1 % 19.02/4.93 | (337) all_0_83_83 = e1 % 19.02/4.93 | % 19.02/4.93 | Combining equations (336,663) yields a new equation: % 19.02/4.93 | (338) unit = e1 % 19.02/4.93 | % 19.02/4.93 | Equations (338) can reduce 318 to: % 19.02/4.93 | (326) $false % 19.02/4.93 | % 19.02/4.93 |-The branch is then unsatisfiable % 19.02/4.93 |-Branch two: % 19.02/4.93 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.02/4.93 | % 19.02/4.93 | Applying alpha-rule on (340) yields: % 19.02/4.93 | (341) all_0_68_68 = e0 % 19.02/4.93 | (342) all_0_73_73 = e0 % 19.02/4.93 | (343) all_0_78_78 = e0 % 19.02/4.93 | (344) all_0_83_83 = e0 % 19.02/4.93 | % 19.02/4.93 | Combining equations (343,663) yields a new equation: % 19.02/4.93 | (345) unit = e0 % 19.02/4.93 | % 19.02/4.93 | Equations (344,345) can reduce 669 to: % 19.02/4.93 | (326) $false % 19.02/4.93 | % 19.02/4.93 |-The branch is then unsatisfiable % 19.02/4.93 |-Branch two: % 19.02/4.93 | (714) ~ (all_0_2_2 = e1) % 19.02/4.93 | (715) all_0_2_2 = e0 % 19.02/4.93 | % 19.11/4.93 | Equations (715) can reduce 648 to: % 19.11/4.93 | (326) $false % 19.11/4.93 | % 19.11/4.93 |-The branch is then unsatisfiable % 19.11/4.93 |-Branch two: % 19.11/4.93 | (1805) ~ (all_0_1_1 = e2) % 19.11/4.93 | (1806) all_0_1_1 = e1 | all_0_1_1 = e0 % 19.11/4.93 | % 19.11/4.93 +-Applying beta-rule and splitting (1806), into two cases. % 19.11/4.93 |-Branch one: % 19.11/4.93 | (718) all_0_1_1 = e1 % 19.11/4.93 | % 19.11/4.93 | Equations (718) can reduce 302 to: % 19.11/4.93 | (326) $false % 19.11/4.93 | % 19.11/4.93 |-The branch is then unsatisfiable % 19.11/4.93 |-Branch two: % 19.11/4.93 | (302) ~ (all_0_1_1 = e1) % 19.11/4.93 | (1810) all_0_1_1 = e0 % 19.11/4.93 | % 19.11/4.93 | Equations (1810) can reduce 1596 to: % 19.11/4.93 | (326) $false % 19.11/4.93 | % 19.11/4.93 |-The branch is then unsatisfiable % 19.11/4.93 |-Branch two: % 19.11/4.93 | (1810) all_0_1_1 = e0 % 19.11/4.93 | (1062) all_0_3_3 = e2 % 19.11/4.93 | % 19.11/4.93 | Equations (1062) can reduce 1040 to: % 19.11/4.93 | (326) $false % 19.11/4.93 | % 19.11/4.93 |-The branch is then unsatisfiable % 19.11/4.93 |-Branch two: % 19.11/4.93 | (1062) all_0_3_3 = e2 % 19.11/4.93 | (1810) all_0_1_1 = e0 % 19.11/4.93 | % 19.11/4.93 | Equations (1810) can reduce 12 to: % 19.11/4.93 | (304) ~ (all_0_0_0 = e0) % 19.11/4.93 | % 19.11/4.93 | Equations (1062) can reduce 145 to: % 19.11/4.93 | (301) ~ (all_0_0_0 = e2) % 19.11/4.93 | % 19.11/4.93 | Equations (1810) can reduce 209 to: % 19.11/4.93 | (647) ~ (all_0_2_2 = e0) % 19.11/4.93 | % 19.11/4.93 | Simplifying 647 yields: % 19.11/4.93 | (648) ~ (all_0_2_2 = e0) % 19.11/4.93 | % 19.11/4.93 | Equations (1062) can reduce 20 to: % 19.11/4.93 | (303) ~ (all_0_2_2 = e2) % 19.11/4.93 | % 19.11/4.93 | From (1810) and (234) follows: % 19.11/4.93 | (1822) op(e2, e0) = unit % 19.11/4.93 | % 19.11/4.93 | From (1062) and (49) follows: % 19.11/4.93 | (1823) op(e0, e2) = unit % 19.11/4.93 | % 19.11/4.93 +-Applying beta-rule and splitting (121), into two cases. % 19.11/4.93 |-Branch one: % 19.11/4.93 | (652) all_0_2_2 = e3 % 19.11/4.93 | % 19.11/4.93 | Equations (652) can reduce 649 to: % 19.11/4.93 | (326) $false % 19.11/4.93 | % 19.11/4.93 |-The branch is then unsatisfiable % 19.11/4.93 |-Branch two: % 19.11/4.93 | (649) ~ (all_0_2_2 = e3) % 19.11/4.93 | (655) all_0_2_2 = e2 | all_0_2_2 = e1 | all_0_2_2 = e0 % 19.11/4.93 | % 19.11/4.93 +-Applying beta-rule and splitting (115), into two cases. % 19.11/4.93 |-Branch one: % 19.11/4.93 | (305) all_0_0_0 = e3 % 19.11/4.93 | % 19.11/4.93 | From (305) and (248) follows: % 19.11/4.93 | (307) op(e3, e3) = unit % 19.11/4.93 | % 19.11/4.93 +-Applying beta-rule and splitting (655), into two cases. % 19.11/4.93 |-Branch one: % 19.11/4.93 | (656) all_0_2_2 = e2 % 19.11/4.93 | % 19.11/4.93 | Equations (656) can reduce 303 to: % 19.11/4.93 | (326) $false % 19.11/4.93 | % 19.11/4.93 |-The branch is then unsatisfiable % 19.11/4.93 |-Branch two: % 19.11/4.93 | (303) ~ (all_0_2_2 = e2) % 19.11/4.93 | (659) all_0_2_2 = e1 | all_0_2_2 = e0 % 19.11/4.93 | % 19.11/4.93 +-Applying beta-rule and splitting (659), into two cases. % 19.11/4.93 |-Branch one: % 19.11/4.93 | (660) all_0_2_2 = e1 % 19.11/4.93 | % 19.11/4.93 | Equations (660) can reduce 303 to: % 19.11/4.93 | (722) ~ (e2 = e1) % 19.11/4.93 | % 19.11/4.93 | Simplifying 722 yields: % 19.11/4.93 | (15) ~ (e2 = e1) % 19.11/4.93 | % 19.11/4.93 | From (660) and (174) follows: % 19.11/4.93 | (661) op(e1, e1) = unit % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with e3, e3, unit, all_0_68_68 and discharging atoms op(e3, e3) = all_0_68_68, op(e3, e3) = unit, yields: % 19.11/4.93 | (308) all_0_68_68 = unit % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with e2, e0, unit, all_0_75_75 and discharging atoms op(e2, e0) = all_0_75_75, op(e2, e0) = unit, yields: % 19.11/4.93 | (1839) all_0_75_75 = unit % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with e1, e1, unit, all_0_78_78 and discharging atoms op(e1, e1) = all_0_78_78, op(e1, e1) = unit, yields: % 19.11/4.93 | (663) all_0_78_78 = unit % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with e0, e2, unit, all_0_81_81 and discharging atoms op(e0, e2) = all_0_81_81, op(e0, e2) = unit, yields: % 19.11/4.93 | (1841) all_0_81_81 = unit % 19.11/4.93 | % 19.11/4.93 | Equations (1841) can reduce 67 to: % 19.11/4.93 | (1052) ~ (all_0_73_73 = unit) % 19.11/4.93 | % 19.11/4.93 | From (308) and (147) follows: % 19.11/4.93 | (1843) op(unit, e1) = all_0_6_6 % 19.11/4.93 | % 19.11/4.93 | From (1839) and (120) follows: % 19.11/4.93 | (1844) op(unit, e1) = all_0_34_34 % 19.11/4.93 | % 19.11/4.93 | From (1839) and (266) follows: % 19.11/4.93 | (1845) op(unit, e0) = all_0_35_35 % 19.11/4.93 | % 19.11/4.93 | From (663) and (66) follows: % 19.11/4.93 | (1663) op(unit, e1) = all_0_46_46 % 19.11/4.93 | % 19.11/4.93 | From (663) and (1576) follows: % 19.11/4.93 | (1664) op(unit, e0) = all_0_77_77 % 19.11/4.93 | % 19.11/4.93 | From (1841) and (116) follows: % 19.11/4.93 | (1848) op(unit, e1) = all_0_58_58 % 19.11/4.93 | % 19.11/4.93 | From (1841) and (18) follows: % 19.11/4.93 | (1849) op(unit, e0) = all_0_59_59 % 19.11/4.93 | % 19.11/4.93 | From (1839) and (36) follows: % 19.11/4.93 | (1850) op(e1, unit) = all_0_43_43 % 19.11/4.93 | % 19.11/4.93 | From (663) and (3) follows: % 19.11/4.93 | (1667) op(e1, unit) = all_0_46_46 % 19.11/4.93 | % 19.11/4.93 | From (1841) and (1582) follows: % 19.11/4.93 | (1852) op(e1, unit) = all_0_73_73 % 19.11/4.93 | % 19.11/4.93 | From (308) and (72) follows: % 19.11/4.93 | (1626) op(e0, unit) = all_0_52_52 % 19.11/4.93 | % 19.11/4.93 | From (1839) and (54) follows: % 19.11/4.93 | (1854) op(e0, unit) = all_0_59_59 % 19.11/4.93 | % 19.11/4.93 | From (663) and (197) follows: % 19.11/4.93 | (1669) op(e0, unit) = all_0_62_62 % 19.11/4.93 | % 19.11/4.93 | From (1841) and (142) follows: % 19.11/4.93 | (1856) op(e0, unit) = all_0_65_65 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with unit, e1, all_0_6_6, e1 and discharging atoms op(unit, e1) = all_0_6_6, op(unit, e1) = e1, yields: % 19.11/4.93 | (1857) all_0_6_6 = e1 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with unit, e1, all_0_34_34, all_0_6_6 and discharging atoms op(unit, e1) = all_0_6_6, op(unit, e1) = all_0_34_34, yields: % 19.11/4.93 | (1858) all_0_6_6 = all_0_34_34 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with unit, e1, all_0_58_58, all_0_6_6 and discharging atoms op(unit, e1) = all_0_6_6, op(unit, e1) = all_0_58_58, yields: % 19.11/4.93 | (1859) all_0_6_6 = all_0_58_58 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with unit, e1, all_0_58_58, all_0_46_46 and discharging atoms op(unit, e1) = all_0_46_46, op(unit, e1) = all_0_58_58, yields: % 19.11/4.93 | (1860) all_0_46_46 = all_0_58_58 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with unit, e0, all_0_59_59, all_0_35_35 and discharging atoms op(unit, e0) = all_0_35_35, op(unit, e0) = all_0_59_59, yields: % 19.11/4.93 | (1861) all_0_35_35 = all_0_59_59 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with unit, e0, all_0_77_77, all_0_35_35 and discharging atoms op(unit, e0) = all_0_35_35, op(unit, e0) = all_0_77_77, yields: % 19.11/4.93 | (1862) all_0_35_35 = all_0_77_77 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with e1, unit, all_0_46_46, all_0_43_43 and discharging atoms op(e1, unit) = all_0_43_43, op(e1, unit) = all_0_46_46, yields: % 19.11/4.93 | (1863) all_0_43_43 = all_0_46_46 % 19.11/4.93 | % 19.11/4.93 | Instantiating formula (218) with e1, unit, all_0_73_73, all_0_43_43 and discharging atoms op(e1, unit) = all_0_43_43, op(e1, unit) = all_0_73_73, yields: % 19.11/4.94 | (1864) all_0_43_43 = all_0_73_73 % 19.11/4.94 | % 19.11/4.94 | Instantiating formula (218) with e0, unit, all_0_62_62, e0 and discharging atoms op(e0, unit) = all_0_62_62, op(e0, unit) = e0, yields: % 19.11/4.94 | (1675) all_0_62_62 = e0 % 19.11/4.94 | % 19.11/4.94 | Instantiating formula (218) with e0, unit, all_0_62_62, all_0_52_52 and discharging atoms op(e0, unit) = all_0_52_52, op(e0, unit) = all_0_62_62, yields: % 19.11/4.94 | (1866) all_0_52_52 = all_0_62_62 % 19.11/4.94 | % 19.11/4.94 | Instantiating formula (218) with e0, unit, all_0_62_62, all_0_59_59 and discharging atoms op(e0, unit) = all_0_59_59, op(e0, unit) = all_0_62_62, yields: % 19.11/4.94 | (1867) all_0_59_59 = all_0_62_62 % 19.11/4.94 | % 19.11/4.94 | Instantiating formula (218) with e0, unit, all_0_65_65, all_0_52_52 and discharging atoms op(e0, unit) = all_0_52_52, op(e0, unit) = all_0_65_65, yields: % 19.11/4.94 | (1868) all_0_52_52 = all_0_65_65 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1859,1858) yields a new equation: % 19.11/4.94 | (1869) all_0_34_34 = all_0_58_58 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1857,1858) yields a new equation: % 19.11/4.94 | (1870) all_0_34_34 = e1 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1869,1870) yields a new equation: % 19.11/4.94 | (1871) all_0_58_58 = e1 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1871 yields: % 19.11/4.94 | (1872) all_0_58_58 = e1 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1861,1862) yields a new equation: % 19.11/4.94 | (1873) all_0_59_59 = all_0_77_77 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1873 yields: % 19.11/4.94 | (1874) all_0_59_59 = all_0_77_77 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1863,1864) yields a new equation: % 19.11/4.94 | (1875) all_0_46_46 = all_0_73_73 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1875 yields: % 19.11/4.94 | (1876) all_0_46_46 = all_0_73_73 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1860,1876) yields a new equation: % 19.11/4.94 | (1877) all_0_58_58 = all_0_73_73 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1877 yields: % 19.11/4.94 | (1878) all_0_58_58 = all_0_73_73 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1866,1868) yields a new equation: % 19.11/4.94 | (1879) all_0_62_62 = all_0_65_65 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1879 yields: % 19.11/4.94 | (1880) all_0_62_62 = all_0_65_65 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1872,1878) yields a new equation: % 19.11/4.94 | (335) all_0_73_73 = e1 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1867,1874) yields a new equation: % 19.11/4.94 | (1882) all_0_62_62 = all_0_77_77 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1882 yields: % 19.11/4.94 | (1883) all_0_62_62 = all_0_77_77 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1675,1880) yields a new equation: % 19.11/4.94 | (1884) all_0_65_65 = e0 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1883,1880) yields a new equation: % 19.11/4.94 | (1885) all_0_65_65 = all_0_77_77 % 19.11/4.94 | % 19.11/4.94 | Combining equations (1884,1885) yields a new equation: % 19.11/4.94 | (451) all_0_77_77 = e0 % 19.11/4.94 | % 19.11/4.94 | Equations (335,451) can reduce 99 to: % 19.11/4.94 | (71) ~ (e1 = e0) % 19.11/4.94 | % 19.11/4.94 | Equations (335) can reduce 1052 to: % 19.11/4.94 | (789) ~ (unit = e1) % 19.11/4.94 | % 19.11/4.94 | Simplifying 789 yields: % 19.11/4.94 | (318) ~ (unit = e1) % 19.11/4.94 | % 19.11/4.94 | Equations (335) can reduce 1593 to: % 19.11/4.94 | (724) ~ (e3 = e1) % 19.11/4.94 | % 19.11/4.94 | Simplifying 724 yields: % 19.11/4.94 | (214) ~ (e3 = e1) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (321) yields: % 19.11/4.94 | (322) all_0_68_68 = e3 % 19.11/4.94 | (323) all_0_73_73 = e3 % 19.11/4.94 | (324) all_0_78_78 = e3 % 19.11/4.94 | (325) all_0_83_83 = e3 % 19.11/4.94 | % 19.11/4.94 | Combining equations (323,335) yields a new equation: % 19.11/4.94 | (485) e3 = e1 % 19.11/4.94 | % 19.11/4.94 | Simplifying 485 yields: % 19.11/4.94 | (486) e3 = e1 % 19.11/4.94 | % 19.11/4.94 | Equations (486) can reduce 214 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (327) yields: % 19.11/4.94 | (328) all_0_68_68 = e2 % 19.11/4.94 | (329) all_0_73_73 = e2 % 19.11/4.94 | (330) all_0_78_78 = e2 % 19.11/4.94 | (331) all_0_83_83 = e2 % 19.11/4.94 | % 19.11/4.94 | Combining equations (329,335) yields a new equation: % 19.11/4.94 | (493) e2 = e1 % 19.11/4.94 | % 19.11/4.94 | Simplifying 493 yields: % 19.11/4.94 | (494) e2 = e1 % 19.11/4.94 | % 19.11/4.94 | Equations (494) can reduce 15 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (333) yields: % 19.11/4.94 | (334) all_0_68_68 = e1 % 19.11/4.94 | (335) all_0_73_73 = e1 % 19.11/4.94 | (336) all_0_78_78 = e1 % 19.11/4.94 | (337) all_0_83_83 = e1 % 19.11/4.94 | % 19.11/4.94 | Combining equations (336,663) yields a new equation: % 19.11/4.94 | (338) unit = e1 % 19.11/4.94 | % 19.11/4.94 | Equations (338) can reduce 318 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (340) yields: % 19.11/4.94 | (341) all_0_68_68 = e0 % 19.11/4.94 | (342) all_0_73_73 = e0 % 19.11/4.94 | (343) all_0_78_78 = e0 % 19.11/4.94 | (344) all_0_83_83 = e0 % 19.11/4.94 | % 19.11/4.94 | Combining equations (342,335) yields a new equation: % 19.11/4.94 | (632) e1 = e0 % 19.11/4.94 | % 19.11/4.94 | Equations (632) can reduce 71 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (714) ~ (all_0_2_2 = e1) % 19.11/4.94 | (715) all_0_2_2 = e0 % 19.11/4.94 | % 19.11/4.94 | Equations (715) can reduce 648 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (634) ~ (all_0_0_0 = e3) % 19.11/4.94 | (635) all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0 % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (635), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (636) all_0_0_0 = e2 % 19.11/4.94 | % 19.11/4.94 | Equations (636) can reduce 301 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (301) ~ (all_0_0_0 = e2) % 19.11/4.94 | (639) all_0_0_0 = e1 | all_0_0_0 = e0 % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (639), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (640) all_0_0_0 = e1 % 19.11/4.94 | % 19.11/4.94 | Equations (640) can reduce 299 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (299) ~ (all_0_0_0 = e1) % 19.11/4.94 | (643) all_0_0_0 = e0 % 19.11/4.94 | % 19.11/4.94 | Equations (643) can reduce 304 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (328) all_0_68_68 = e2 % 19.11/4.94 | (419) ~ (all_0_80_80 = e1) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (321) yields: % 19.11/4.94 | (322) all_0_68_68 = e3 % 19.11/4.94 | (323) all_0_73_73 = e3 % 19.11/4.94 | (324) all_0_78_78 = e3 % 19.11/4.94 | (325) all_0_83_83 = e3 % 19.11/4.94 | % 19.11/4.94 | Combining equations (322,328) yields a new equation: % 19.11/4.94 | (1222) e3 = e2 % 19.11/4.94 | % 19.11/4.94 | Simplifying 1222 yields: % 19.11/4.94 | (1223) e3 = e2 % 19.11/4.94 | % 19.11/4.94 | Equations (1223) can reduce 129 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (327) yields: % 19.11/4.94 | (328) all_0_68_68 = e2 % 19.11/4.94 | (329) all_0_73_73 = e2 % 19.11/4.94 | (330) all_0_78_78 = e2 % 19.11/4.94 | (331) all_0_83_83 = e2 % 19.11/4.94 | % 19.11/4.94 | Equations (331) can reduce 1552 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (333) yields: % 19.11/4.94 | (334) all_0_68_68 = e1 % 19.11/4.94 | (335) all_0_73_73 = e1 % 19.11/4.94 | (336) all_0_78_78 = e1 % 19.11/4.94 | (337) all_0_83_83 = e1 % 19.11/4.94 | % 19.11/4.94 | Combining equations (334,328) yields a new equation: % 19.11/4.94 | (494) e2 = e1 % 19.11/4.94 | % 19.11/4.94 | Equations (494) can reduce 15 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (340) yields: % 19.11/4.94 | (341) all_0_68_68 = e0 % 19.11/4.94 | (342) all_0_73_73 = e0 % 19.11/4.94 | (343) all_0_78_78 = e0 % 19.11/4.94 | (344) all_0_83_83 = e0 % 19.11/4.94 | % 19.11/4.94 | Combining equations (341,328) yields a new equation: % 19.11/4.94 | (1227) e2 = e0 % 19.11/4.94 | % 19.11/4.94 | Equations (1227) can reduce 262 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (323) all_0_73_73 = e3 % 19.11/4.94 | (350) ~ (all_0_77_77 = e0) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.94 | % 19.11/4.94 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.94 |-Branch one: % 19.11/4.94 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (321) yields: % 19.11/4.94 | (322) all_0_68_68 = e3 % 19.11/4.94 | (323) all_0_73_73 = e3 % 19.11/4.94 | (324) all_0_78_78 = e3 % 19.11/4.94 | (325) all_0_83_83 = e3 % 19.11/4.94 | % 19.11/4.94 | Equations (325) can reduce 1089 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (327) yields: % 19.11/4.94 | (328) all_0_68_68 = e2 % 19.11/4.94 | (329) all_0_73_73 = e2 % 19.11/4.94 | (330) all_0_78_78 = e2 % 19.11/4.94 | (331) all_0_83_83 = e2 % 19.11/4.94 | % 19.11/4.94 | Combining equations (329,323) yields a new equation: % 19.11/4.94 | (1223) e3 = e2 % 19.11/4.94 | % 19.11/4.94 | Equations (1223) can reduce 129 to: % 19.11/4.94 | (326) $false % 19.11/4.94 | % 19.11/4.94 |-The branch is then unsatisfiable % 19.11/4.94 |-Branch two: % 19.11/4.94 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.94 | % 19.11/4.94 | Applying alpha-rule on (333) yields: % 19.11/4.94 | (334) all_0_68_68 = e1 % 19.11/4.95 | (335) all_0_73_73 = e1 % 19.11/4.95 | (336) all_0_78_78 = e1 % 19.11/4.95 | (337) all_0_83_83 = e1 % 19.11/4.95 | % 19.11/4.95 | Combining equations (335,323) yields a new equation: % 19.11/4.95 | (486) e3 = e1 % 19.11/4.95 | % 19.11/4.95 | Equations (486) can reduce 214 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (340) yields: % 19.11/4.95 | (341) all_0_68_68 = e0 % 19.11/4.95 | (342) all_0_73_73 = e0 % 19.11/4.95 | (343) all_0_78_78 = e0 % 19.11/4.95 | (344) all_0_83_83 = e0 % 19.11/4.95 | % 19.11/4.95 | Combining equations (342,323) yields a new equation: % 19.11/4.95 | (1225) e3 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (1225) can reduce 44 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (718) all_0_1_1 = e1 % 19.11/4.95 | (656) all_0_2_2 = e2 % 19.11/4.95 | % 19.11/4.95 | Equations (656) can reduce 303 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (656) all_0_2_2 = e2 % 19.11/4.95 | (718) all_0_1_1 = e1 % 19.11/4.95 | % 19.11/4.95 | From (718) and (234) follows: % 19.11/4.95 | (726) op(e2, e1) = unit % 19.11/4.95 | % 19.11/4.95 | From (656) and (174) follows: % 19.11/4.95 | (727) op(e1, e2) = unit % 19.11/4.95 | % 19.11/4.95 | Instantiating formula (218) with e2, e1, unit, all_0_74_74 and discharging atoms op(e2, e1) = all_0_74_74, op(e2, e1) = unit, yields: % 19.11/4.95 | (728) all_0_74_74 = unit % 19.11/4.95 | % 19.11/4.95 | Instantiating formula (218) with e1, e2, unit, all_0_77_77 and discharging atoms op(e1, e2) = all_0_77_77, op(e1, e2) = unit, yields: % 19.11/4.95 | (729) all_0_77_77 = unit % 19.11/4.95 | % 19.11/4.95 | Equations (728) can reduce 173 to: % 19.11/4.95 | (731) ~ (all_0_75_75 = unit) % 19.11/4.95 | % 19.11/4.95 | Simplifying 731 yields: % 19.11/4.95 | (732) ~ (all_0_75_75 = unit) % 19.11/4.95 | % 19.11/4.95 | Equations (729) can reduce 219 to: % 19.11/4.95 | (734) ~ (all_0_78_78 = unit) % 19.11/4.95 | % 19.11/4.95 | Simplifying 734 yields: % 19.11/4.95 | (735) ~ (all_0_78_78 = unit) % 19.11/4.95 | % 19.11/4.95 | Equations (729) can reduce 446 to: % 19.11/4.95 | (667) ~ (unit = e2) % 19.11/4.95 | % 19.11/4.95 | From (728) and (1575) follows: % 19.11/4.95 | (2015) op(unit, e0) = all_0_73_73 % 19.11/4.95 | % 19.11/4.95 | From (729) and (198) follows: % 19.11/4.95 | (2016) op(unit, e0) = all_0_43_43 % 19.11/4.95 | % 19.11/4.95 | Instantiating formula (218) with unit, e0, all_0_43_43, e0 and discharging atoms op(unit, e0) = all_0_43_43, op(unit, e0) = e0, yields: % 19.11/4.95 | (2017) all_0_43_43 = e0 % 19.11/4.95 | % 19.11/4.95 | Instantiating formula (218) with unit, e0, all_0_73_73, all_0_43_43 and discharging atoms op(unit, e0) = all_0_43_43, op(unit, e0) = all_0_73_73, yields: % 19.11/4.95 | (1864) all_0_43_43 = all_0_73_73 % 19.11/4.95 | % 19.11/4.95 | Combining equations (2017,1864) yields a new equation: % 19.11/4.95 | (342) all_0_73_73 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (342) can reduce 273 to: % 19.11/4.95 | (2020) ~ (all_0_75_75 = e0) % 19.11/4.95 | % 19.11/4.95 | Simplifying 2020 yields: % 19.11/4.95 | (999) ~ (all_0_75_75 = e0) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (253), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (883) all_0_75_75 = e3 % 19.11/4.95 | % 19.11/4.95 | Equations (883) can reduce 877 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (877) ~ (all_0_75_75 = e3) % 19.11/4.95 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (886), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (887) all_0_75_75 = e2 % 19.11/4.95 | % 19.11/4.95 | Equations (887) can reduce 881 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (881) ~ (all_0_75_75 = e2) % 19.11/4.95 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (229), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (362) ~ (all_0_73_73 = e0) % 19.11/4.95 | % 19.11/4.95 | Equations (342) can reduce 362 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (342) all_0_73_73 = e0 % 19.11/4.95 | (365) ~ (all_0_77_77 = e3) % 19.11/4.95 | % 19.11/4.95 | Equations (729) can reduce 365 to: % 19.11/4.95 | (666) ~ (unit = e3) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (125), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (672) unit = e3 % 19.11/4.95 | % 19.11/4.95 | Equations (672) can reduce 666 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (666) ~ (unit = e3) % 19.11/4.95 | (794) unit = e2 | unit = e1 | unit = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (890), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (895) all_0_75_75 = e1 % 19.11/4.95 | % 19.11/4.95 | Equations (895) can reduce 732 to: % 19.11/4.95 | (789) ~ (unit = e1) % 19.11/4.95 | % 19.11/4.95 | Simplifying 789 yields: % 19.11/4.95 | (318) ~ (unit = e1) % 19.11/4.95 | % 19.11/4.95 | Equations (895) can reduce 999 to: % 19.11/4.95 | (71) ~ (e1 = e0) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (282), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (870) all_0_74_74 = e3 % 19.11/4.95 | % 19.11/4.95 | Combining equations (870,728) yields a new equation: % 19.11/4.95 | (672) unit = e3 % 19.11/4.95 | % 19.11/4.95 | Equations (672) can reduce 666 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (738) ~ (all_0_74_74 = e3) % 19.11/4.95 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (321) yields: % 19.11/4.95 | (322) all_0_68_68 = e3 % 19.11/4.95 | (323) all_0_73_73 = e3 % 19.11/4.95 | (324) all_0_78_78 = e3 % 19.11/4.95 | (325) all_0_83_83 = e3 % 19.11/4.95 | % 19.11/4.95 | Combining equations (342,323) yields a new equation: % 19.11/4.95 | (1225) e3 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (1225) can reduce 44 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (327) yields: % 19.11/4.95 | (328) all_0_68_68 = e2 % 19.11/4.95 | (329) all_0_73_73 = e2 % 19.11/4.95 | (330) all_0_78_78 = e2 % 19.11/4.95 | (331) all_0_83_83 = e2 % 19.11/4.95 | % 19.11/4.95 | Combining equations (342,329) yields a new equation: % 19.11/4.95 | (1227) e2 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (1227) can reduce 262 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (333) yields: % 19.11/4.95 | (334) all_0_68_68 = e1 % 19.11/4.95 | (335) all_0_73_73 = e1 % 19.11/4.95 | (336) all_0_78_78 = e1 % 19.11/4.95 | (337) all_0_83_83 = e1 % 19.11/4.95 | % 19.11/4.95 | Combining equations (342,335) yields a new equation: % 19.11/4.95 | (632) e1 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (632) can reduce 71 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (340) yields: % 19.11/4.95 | (341) all_0_68_68 = e0 % 19.11/4.95 | (342) all_0_73_73 = e0 % 19.11/4.95 | (343) all_0_78_78 = e0 % 19.11/4.95 | (344) all_0_83_83 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (343) can reduce 735 to: % 19.11/4.95 | (768) ~ (unit = e0) % 19.11/4.95 | % 19.11/4.95 | Simplifying 768 yields: % 19.11/4.95 | (769) ~ (unit = e0) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (875), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (1356) all_0_74_74 = e2 % 19.11/4.95 | % 19.11/4.95 | Combining equations (1356,728) yields a new equation: % 19.11/4.95 | (679) unit = e2 % 19.11/4.95 | % 19.11/4.95 | Equations (679) can reduce 667 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (1378) ~ (all_0_74_74 = e2) % 19.11/4.95 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (1379), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (1380) all_0_74_74 = e1 % 19.11/4.95 | % 19.11/4.95 | Combining equations (728,1380) yields a new equation: % 19.11/4.95 | (1115) unit = e1 % 19.11/4.95 | % 19.11/4.95 | Simplifying 1115 yields: % 19.11/4.95 | (338) unit = e1 % 19.11/4.95 | % 19.11/4.95 | Equations (338) can reduce 318 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (1315) ~ (all_0_74_74 = e1) % 19.11/4.95 | (1383) all_0_74_74 = e0 % 19.11/4.95 | % 19.11/4.95 | Combining equations (728,1383) yields a new equation: % 19.11/4.95 | (1123) unit = e0 % 19.11/4.95 | % 19.11/4.95 | Simplifying 1123 yields: % 19.11/4.95 | (345) unit = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (345) can reduce 769 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (859) ~ (all_0_75_75 = e1) % 19.11/4.95 | (898) all_0_75_75 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (898) can reduce 999 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (883) all_0_75_75 = e3 % 19.11/4.95 | (625) ~ (all_0_83_83 = e1) % 19.11/4.95 | % 19.11/4.95 | Equations (883) can reduce 251 to: % 19.11/4.95 | (613) ~ (all_0_71_71 = e3) % 19.11/4.95 | % 19.11/4.95 | Equations (883) can reduce 196 to: % 19.11/4.95 | (2098) ~ (all_0_83_83 = e3) % 19.11/4.95 | % 19.11/4.95 | Simplifying 2098 yields: % 19.11/4.95 | (1089) ~ (all_0_83_83 = e3) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (48), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (529) all_0_71_71 = e3 % 19.11/4.95 | % 19.11/4.95 | Equations (529) can reduce 613 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (613) ~ (all_0_71_71 = e3) % 19.11/4.95 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (614), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (615) all_0_71_71 = e2 % 19.11/4.95 | % 19.11/4.95 | Equations (615) can reduce 509 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (509) ~ (all_0_71_71 = e2) % 19.11/4.95 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (618), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (619) all_0_71_71 = e1 % 19.11/4.95 | % 19.11/4.95 | Equations (619) can reduce 294 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (294) ~ (all_0_71_71 = e1) % 19.11/4.95 | (622) all_0_71_71 = e0 % 19.11/4.95 | % 19.11/4.95 | Equations (622) can reduce 24 to: % 19.11/4.95 | (2112) ~ (all_0_83_83 = e0) % 19.11/4.95 | % 19.11/4.95 | Simplifying 2112 yields: % 19.11/4.95 | (2113) ~ (all_0_83_83 = e0) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (288), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (325) all_0_83_83 = e3 % 19.11/4.95 | % 19.11/4.95 | Equations (325) can reduce 1089 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (1089) ~ (all_0_83_83 = e3) % 19.11/4.95 | (1090) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (1090), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (331) all_0_83_83 = e2 % 19.11/4.95 | % 19.11/4.95 | Equations (331) can reduce 1552 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (1552) ~ (all_0_83_83 = e2) % 19.11/4.95 | (2121) all_0_83_83 = e1 | all_0_83_83 = e0 % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.95 | % 19.11/4.95 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.95 |-Branch one: % 19.11/4.95 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (321) yields: % 19.11/4.95 | (322) all_0_68_68 = e3 % 19.11/4.95 | (323) all_0_73_73 = e3 % 19.11/4.95 | (324) all_0_78_78 = e3 % 19.11/4.95 | (325) all_0_83_83 = e3 % 19.11/4.95 | % 19.11/4.95 | Equations (325) can reduce 1089 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.95 | % 19.11/4.95 | Applying alpha-rule on (327) yields: % 19.11/4.95 | (328) all_0_68_68 = e2 % 19.11/4.95 | (329) all_0_73_73 = e2 % 19.11/4.95 | (330) all_0_78_78 = e2 % 19.11/4.95 | (331) all_0_83_83 = e2 % 19.11/4.95 | % 19.11/4.95 | Equations (331) can reduce 1552 to: % 19.11/4.95 | (326) $false % 19.11/4.95 | % 19.11/4.95 |-The branch is then unsatisfiable % 19.11/4.95 |-Branch two: % 19.11/4.95 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.96 | % 19.11/4.96 | Applying alpha-rule on (333) yields: % 19.11/4.96 | (334) all_0_68_68 = e1 % 19.11/4.96 | (335) all_0_73_73 = e1 % 19.11/4.96 | (336) all_0_78_78 = e1 % 19.11/4.96 | (337) all_0_83_83 = e1 % 19.11/4.96 | % 19.11/4.96 | Equations (337) can reduce 625 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/4.96 | % 19.11/4.96 | Applying alpha-rule on (340) yields: % 19.11/4.96 | (341) all_0_68_68 = e0 % 19.11/4.96 | (342) all_0_73_73 = e0 % 19.11/4.96 | (343) all_0_78_78 = e0 % 19.11/4.96 | (344) all_0_83_83 = e0 % 19.11/4.96 | % 19.11/4.96 | Equations (344) can reduce 2113 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (1033) all_0_1_1 = e3 % 19.11/4.96 | (636) all_0_0_0 = e2 % 19.11/4.96 | % 19.11/4.96 | Equations (636) can reduce 301 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (636) all_0_0_0 = e2 % 19.11/4.96 | (1033) all_0_1_1 = e3 % 19.11/4.96 | % 19.11/4.96 | Equations (636) can reduce 299 to: % 19.11/4.96 | (15) ~ (e2 = e1) % 19.11/4.96 | % 19.11/4.96 | From (636) and (248) follows: % 19.11/4.96 | (1045) op(e3, e2) = unit % 19.11/4.96 | % 19.11/4.96 | From (1033) and (234) follows: % 19.11/4.96 | (1046) op(e2, e3) = unit % 19.11/4.96 | % 19.11/4.96 | Instantiating formula (218) with e3, e2, unit, all_0_69_69 and discharging atoms op(e3, e2) = all_0_69_69, op(e3, e2) = unit, yields: % 19.11/4.96 | (1047) all_0_69_69 = unit % 19.11/4.96 | % 19.11/4.96 | Instantiating formula (218) with e2, e3, unit, all_0_72_72 and discharging atoms op(e2, e3) = all_0_72_72, op(e2, e3) = unit, yields: % 19.11/4.96 | (1048) all_0_72_72 = unit % 19.11/4.96 | % 19.11/4.96 | Equations (1047) can reduce 152 to: % 19.11/4.96 | (2158) ~ (all_0_70_70 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 2158 yields: % 19.11/4.96 | (1135) ~ (all_0_70_70 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1047) can reduce 153 to: % 19.11/4.96 | (2160) ~ (all_0_71_71 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 2160 yields: % 19.11/4.96 | (1136) ~ (all_0_71_71 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1047) can reduce 225 to: % 19.11/4.96 | (1287) ~ (all_0_77_77 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 1287 yields: % 19.11/4.96 | (1288) ~ (all_0_77_77 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1047) can reduce 118 to: % 19.11/4.96 | (2164) ~ (all_0_81_81 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 2164 yields: % 19.11/4.96 | (2165) ~ (all_0_81_81 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1048) can reduce 106 to: % 19.11/4.96 | (1051) ~ (all_0_73_73 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 1051 yields: % 19.11/4.96 | (1052) ~ (all_0_73_73 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1048) can reduce 166 to: % 19.11/4.96 | (1282) ~ (all_0_74_74 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 1282 yields: % 19.11/4.96 | (1283) ~ (all_0_74_74 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1048) can reduce 88 to: % 19.11/4.96 | (731) ~ (all_0_75_75 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 731 yields: % 19.11/4.96 | (732) ~ (all_0_75_75 = unit) % 19.11/4.96 | % 19.11/4.96 | Equations (1048) can reduce 267 to: % 19.11/4.96 | (313) ~ (all_0_76_76 = unit) % 19.11/4.96 | % 19.11/4.96 | Simplifying 313 yields: % 19.11/4.96 | (314) ~ (all_0_76_76 = unit) % 19.11/4.96 | % 19.11/4.96 | From (1047) and (141) follows: % 19.11/4.96 | (2174) op(unit, e3) = all_0_8_8 % 19.11/4.96 | % 19.11/4.96 | From (1048) and (287) follows: % 19.11/4.96 | (2175) op(unit, e3) = all_0_20_20 % 19.11/4.96 | % 19.11/4.96 | From (1047) and (103) follows: % 19.11/4.96 | (2176) op(e3, unit) = all_0_5_5 % 19.11/4.96 | % 19.11/4.96 | From (1048) and (37) follows: % 19.11/4.96 | (2177) op(e3, unit) = all_0_8_8 % 19.11/4.96 | % 19.11/4.96 | Instantiating formula (218) with unit, e3, all_0_20_20, all_0_8_8 and discharging atoms op(unit, e3) = all_0_8_8, op(unit, e3) = all_0_20_20, yields: % 19.11/4.96 | (2178) all_0_8_8 = all_0_20_20 % 19.11/4.96 | % 19.11/4.96 | Instantiating formula (218) with e3, unit, all_0_5_5, e3 and discharging atoms op(e3, unit) = all_0_5_5, op(e3, unit) = e3, yields: % 19.11/4.96 | (2179) all_0_5_5 = e3 % 19.11/4.96 | % 19.11/4.96 | Instantiating formula (218) with e3, unit, all_0_8_8, all_0_5_5 and discharging atoms op(e3, unit) = all_0_5_5, op(e3, unit) = all_0_8_8, yields: % 19.11/4.96 | (2180) all_0_5_5 = all_0_8_8 % 19.11/4.96 | % 19.11/4.96 | Combining equations (2179,2180) yields a new equation: % 19.11/4.96 | (2181) all_0_8_8 = e3 % 19.11/4.96 | % 19.11/4.96 | Combining equations (2181,2178) yields a new equation: % 19.11/4.96 | (2182) all_0_20_20 = e3 % 19.11/4.96 | % 19.11/4.96 | Combining equations (2182,2178) yields a new equation: % 19.11/4.96 | (2181) all_0_8_8 = e3 % 19.11/4.96 | % 19.11/4.96 | From (2181) and (2177) follows: % 19.11/4.96 | (199) op(e3, unit) = e3 % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (38), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (317) ~ (all_0_68_68 = e1) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.96 | % 19.11/4.96 | Applying alpha-rule on (321) yields: % 19.11/4.96 | (322) all_0_68_68 = e3 % 19.11/4.96 | (323) all_0_73_73 = e3 % 19.11/4.96 | (324) all_0_78_78 = e3 % 19.11/4.96 | (325) all_0_83_83 = e3 % 19.11/4.96 | % 19.11/4.96 | Equations (325) can reduce 1089 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.96 | % 19.11/4.96 | Applying alpha-rule on (327) yields: % 19.11/4.96 | (328) all_0_68_68 = e2 % 19.11/4.96 | (329) all_0_73_73 = e2 % 19.11/4.96 | (330) all_0_78_78 = e2 % 19.11/4.96 | (331) all_0_83_83 = e2 % 19.11/4.96 | % 19.11/4.96 | Equations (331) can reduce 1552 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.96 | % 19.11/4.96 | Applying alpha-rule on (333) yields: % 19.11/4.96 | (334) all_0_68_68 = e1 % 19.11/4.96 | (335) all_0_73_73 = e1 % 19.11/4.96 | (336) all_0_78_78 = e1 % 19.11/4.96 | (337) all_0_83_83 = e1 % 19.11/4.96 | % 19.11/4.96 | Equations (334) can reduce 317 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/4.96 | % 19.11/4.96 | Applying alpha-rule on (340) yields: % 19.11/4.96 | (341) all_0_68_68 = e0 % 19.11/4.96 | (342) all_0_73_73 = e0 % 19.11/4.96 | (343) all_0_78_78 = e0 % 19.11/4.96 | (344) all_0_83_83 = e0 % 19.11/4.96 | % 19.11/4.96 | Equations (343) can reduce 19 to: % 19.11/4.96 | (1187) ~ (all_0_70_70 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (344) can reduce 24 to: % 19.11/4.96 | (526) ~ (all_0_71_71 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (342) can reduce 1052 to: % 19.11/4.96 | (768) ~ (unit = e0) % 19.11/4.96 | % 19.11/4.96 | Simplifying 768 yields: % 19.11/4.96 | (769) ~ (unit = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (343) can reduce 271 to: % 19.11/4.96 | (292) ~ (all_0_74_74 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (344) can reduce 196 to: % 19.11/4.96 | (999) ~ (all_0_75_75 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (343) can reduce 109 to: % 19.11/4.96 | (349) ~ (all_0_76_76 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (343) can reduce 219 to: % 19.11/4.96 | (350) ~ (all_0_77_77 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (344) can reduce 6 to: % 19.11/4.96 | (353) ~ (all_0_81_81 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (344) can reduce 42 to: % 19.11/4.96 | (1368) ~ (all_0_82_82 = e0) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (229), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (362) ~ (all_0_73_73 = e0) % 19.11/4.96 | % 19.11/4.96 | Equations (342) can reduce 362 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (342) all_0_73_73 = e0 % 19.11/4.96 | (365) ~ (all_0_77_77 = e3) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (237), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (384) all_0_77_77 = e3 % 19.11/4.96 | % 19.11/4.96 | Equations (384) can reduce 365 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (365) ~ (all_0_77_77 = e3) % 19.11/4.96 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (387), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (388) all_0_77_77 = e2 % 19.11/4.96 | % 19.11/4.96 | Equations (388) can reduce 446 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (446) ~ (all_0_77_77 = e2) % 19.11/4.96 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (447), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (448) all_0_77_77 = e1 % 19.11/4.96 | % 19.11/4.96 | Equations (448) can reduce 228 to: % 19.11/4.96 | (376) ~ (all_0_76_76 = e1) % 19.11/4.96 | % 19.11/4.96 | Equations (448) can reduce 11 to: % 19.11/4.96 | (2235) ~ (all_0_81_81 = e1) % 19.11/4.96 | % 19.11/4.96 | Simplifying 2235 yields: % 19.11/4.96 | (425) ~ (all_0_81_81 = e1) % 19.11/4.96 | % 19.11/4.96 | Equations (448) can reduce 1288 to: % 19.11/4.96 | (789) ~ (unit = e1) % 19.11/4.96 | % 19.11/4.96 | Simplifying 789 yields: % 19.11/4.96 | (318) ~ (unit = e1) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (48), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (529) all_0_71_71 = e3 % 19.11/4.96 | % 19.11/4.96 | Equations (529) can reduce 17 to: % 19.11/4.96 | (1258) ~ (all_0_70_70 = e3) % 19.11/4.96 | % 19.11/4.96 | Equations (529) can reduce 251 to: % 19.11/4.96 | (2241) ~ (all_0_75_75 = e3) % 19.11/4.96 | % 19.11/4.96 | Simplifying 2241 yields: % 19.11/4.96 | (877) ~ (all_0_75_75 = e3) % 19.11/4.96 | % 19.11/4.96 | Equations (529) can reduce 1136 to: % 19.11/4.96 | (2243) ~ (unit = e3) % 19.11/4.96 | % 19.11/4.96 | Simplifying 2243 yields: % 19.11/4.96 | (666) ~ (unit = e3) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (125), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (672) unit = e3 % 19.11/4.96 | % 19.11/4.96 | Equations (672) can reduce 666 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (666) ~ (unit = e3) % 19.11/4.96 | (794) unit = e2 | unit = e1 | unit = e0 % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (794), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (679) unit = e2 % 19.11/4.96 | % 19.11/4.96 | Equations (679) can reduce 1135 to: % 19.11/4.96 | (296) ~ (all_0_70_70 = e2) % 19.11/4.96 | % 19.11/4.96 | Equations (679) can reduce 732 to: % 19.11/4.96 | (881) ~ (all_0_75_75 = e2) % 19.11/4.96 | % 19.11/4.96 | Equations (679) can reduce 2165 to: % 19.11/4.96 | (391) ~ (all_0_81_81 = e2) % 19.11/4.96 | % 19.11/4.96 +-Applying beta-rule and splitting (35), into two cases. % 19.11/4.96 |-Branch one: % 19.11/4.96 | (1188) all_0_70_70 = e3 % 19.11/4.96 | % 19.11/4.96 | Equations (1188) can reduce 1258 to: % 19.11/4.96 | (326) $false % 19.11/4.96 | % 19.11/4.96 |-The branch is then unsatisfiable % 19.11/4.96 |-Branch two: % 19.11/4.96 | (1258) ~ (all_0_70_70 = e3) % 19.11/4.96 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 19.11/4.96 | % 19.11/4.97 +-Applying beta-rule and splitting (1259), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1260) all_0_70_70 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (1260) can reduce 296 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (296) ~ (all_0_70_70 = e2) % 19.11/4.97 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (1263), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1264) all_0_70_70 = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (1264) can reduce 265 to: % 19.11/4.97 | (2262) ~ (all_0_82_82 = e1) % 19.11/4.97 | % 19.11/4.97 | Simplifying 2262 yields: % 19.11/4.97 | (1320) ~ (all_0_82_82 = e1) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (55), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (738) ~ (all_0_74_74 = e3) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (139), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (399) all_0_81_81 = e3 % 19.11/4.97 | % 19.11/4.97 | Equations (399) can reduce 227 to: % 19.11/4.97 | (2266) ~ (all_0_82_82 = e3) % 19.11/4.97 | % 19.11/4.97 | Simplifying 2266 yields: % 19.11/4.97 | (1143) ~ (all_0_82_82 = e3) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (253), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (883) all_0_75_75 = e3 % 19.11/4.97 | % 19.11/4.97 | Equations (883) can reduce 877 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (877) ~ (all_0_75_75 = e3) % 19.11/4.97 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (886), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (887) all_0_75_75 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (887) can reduce 881 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (881) ~ (all_0_75_75 = e2) % 19.11/4.97 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (890), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (895) all_0_75_75 = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (895) can reduce 173 to: % 19.11/4.97 | (1315) ~ (all_0_74_74 = e1) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (123), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1140) all_0_82_82 = e3 % 19.11/4.97 | % 19.11/4.97 | Equations (1140) can reduce 1143 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (1143) ~ (all_0_82_82 = e3) % 19.11/4.97 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (1144), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1369) all_0_82_82 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (1369) can reduce 133 to: % 19.11/4.97 | (1378) ~ (all_0_74_74 = e2) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (282), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (870) all_0_74_74 = e3 % 19.11/4.97 | % 19.11/4.97 | Equations (870) can reduce 738 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (738) ~ (all_0_74_74 = e3) % 19.11/4.97 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (875), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1356) all_0_74_74 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (1356) can reduce 1378 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (1378) ~ (all_0_74_74 = e2) % 19.11/4.97 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (1379), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1380) all_0_74_74 = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (1380) can reduce 1315 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (1315) ~ (all_0_74_74 = e1) % 19.11/4.97 | (1383) all_0_74_74 = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (1383) can reduce 292 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (1358) ~ (all_0_82_82 = e2) % 19.11/4.97 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (1372), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (1373) all_0_82_82 = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (1373) can reduce 1320 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (1320) ~ (all_0_82_82 = e1) % 19.11/4.97 | (1376) all_0_82_82 = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (1376) can reduce 1368 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (859) ~ (all_0_75_75 = e1) % 19.11/4.97 | (898) all_0_75_75 = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (898) can reduce 999 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (398) ~ (all_0_81_81 = e3) % 19.11/4.97 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (402), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (410) all_0_81_81 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (410) can reduce 391 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (391) ~ (all_0_81_81 = e2) % 19.11/4.97 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (413), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (418) all_0_81_81 = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (418) can reduce 425 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (425) ~ (all_0_81_81 = e1) % 19.11/4.97 | (426) all_0_81_81 = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (426) can reduce 353 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (870) all_0_74_74 = e3 % 19.11/4.97 | (951) ~ (all_0_78_78 = e0) % 19.11/4.97 | % 19.11/4.97 | Equations (343) can reduce 951 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (1171) ~ (all_0_70_70 = e1) % 19.11/4.97 | (1267) all_0_70_70 = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (1267) can reduce 1187 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (667) ~ (unit = e2) % 19.11/4.97 | (825) unit = e1 | unit = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (825), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (338) unit = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (338) can reduce 318 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (318) ~ (unit = e1) % 19.11/4.97 | (345) unit = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (345) can reduce 769 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (613) ~ (all_0_71_71 = e3) % 19.11/4.97 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (112), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (378) all_0_76_76 = e3 % 19.11/4.97 | % 19.11/4.97 | Equations (378) can reduce 314 to: % 19.11/4.97 | (2243) ~ (unit = e3) % 19.11/4.97 | % 19.11/4.97 | Simplifying 2243 yields: % 19.11/4.97 | (666) ~ (unit = e3) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (125), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (672) unit = e3 % 19.11/4.97 | % 19.11/4.97 | Equations (672) can reduce 666 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (666) ~ (unit = e3) % 19.11/4.97 | (794) unit = e2 | unit = e1 | unit = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (794), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (679) unit = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (679) can reduce 1136 to: % 19.11/4.97 | (509) ~ (all_0_71_71 = e2) % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (614), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (615) all_0_71_71 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (615) can reduce 509 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (509) ~ (all_0_71_71 = e2) % 19.11/4.97 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (618), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (619) all_0_71_71 = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (619) can reduce 294 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (294) ~ (all_0_71_71 = e1) % 19.11/4.97 | (622) all_0_71_71 = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (622) can reduce 526 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (667) ~ (unit = e2) % 19.11/4.97 | (825) unit = e1 | unit = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (825), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (338) unit = e1 % 19.11/4.97 | % 19.11/4.97 | Equations (338) can reduce 318 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (318) ~ (unit = e1) % 19.11/4.97 | (345) unit = e0 % 19.11/4.97 | % 19.11/4.97 | Equations (345) can reduce 769 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.97 | (453) ~ (all_0_76_76 = e3) % 19.11/4.97 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/4.97 | % 19.11/4.97 +-Applying beta-rule and splitting (454), into two cases. % 19.11/4.97 |-Branch one: % 19.11/4.97 | (455) all_0_76_76 = e2 % 19.11/4.97 | % 19.11/4.97 | Equations (455) can reduce 357 to: % 19.11/4.97 | (326) $false % 19.11/4.97 | % 19.11/4.97 |-The branch is then unsatisfiable % 19.11/4.97 |-Branch two: % 19.11/4.98 | (357) ~ (all_0_76_76 = e2) % 19.11/4.98 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (458), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (459) all_0_76_76 = e1 % 19.11/4.98 | % 19.11/4.98 | Equations (459) can reduce 376 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (376) ~ (all_0_76_76 = e1) % 19.11/4.98 | (462) all_0_76_76 = e0 % 19.11/4.98 | % 19.11/4.98 | Equations (462) can reduce 349 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (377) ~ (all_0_77_77 = e1) % 19.11/4.98 | (451) all_0_77_77 = e0 % 19.11/4.98 | % 19.11/4.98 | Equations (451) can reduce 350 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (334) all_0_68_68 = e1 % 19.11/4.98 | (405) ~ (all_0_80_80 = e2) % 19.11/4.98 | % 19.11/4.98 | From (334) and (147) follows: % 19.11/4.98 | (2374) op(e1, e1) = all_0_6_6 % 19.11/4.98 | % 19.11/4.98 | From (334) and (32) follows: % 19.11/4.98 | (2375) op(e1, e1) = all_0_36_36 % 19.11/4.98 | % 19.11/4.98 | From (334) and (72) follows: % 19.11/4.98 | (2376) op(e0, e1) = all_0_52_52 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (270), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (319), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (320), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/4.98 | % 19.11/4.98 | Applying alpha-rule on (321) yields: % 19.11/4.98 | (322) all_0_68_68 = e3 % 19.11/4.98 | (323) all_0_73_73 = e3 % 19.11/4.98 | (324) all_0_78_78 = e3 % 19.11/4.98 | (325) all_0_83_83 = e3 % 19.11/4.98 | % 19.11/4.98 | Combining equations (322,334) yields a new equation: % 19.11/4.98 | (485) e3 = e1 % 19.11/4.98 | % 19.11/4.98 | Simplifying 485 yields: % 19.11/4.98 | (486) e3 = e1 % 19.11/4.98 | % 19.11/4.98 | Equations (486) can reduce 214 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/4.98 | % 19.11/4.98 | Applying alpha-rule on (327) yields: % 19.11/4.98 | (328) all_0_68_68 = e2 % 19.11/4.98 | (329) all_0_73_73 = e2 % 19.11/4.98 | (330) all_0_78_78 = e2 % 19.11/4.98 | (331) all_0_83_83 = e2 % 19.11/4.98 | % 19.11/4.98 | Combining equations (328,334) yields a new equation: % 19.11/4.98 | (493) e2 = e1 % 19.11/4.98 | % 19.11/4.98 | Simplifying 493 yields: % 19.11/4.98 | (494) e2 = e1 % 19.11/4.98 | % 19.11/4.98 | Equations (494) can reduce 15 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/4.98 | % 19.11/4.98 | Applying alpha-rule on (333) yields: % 19.11/4.98 | (334) all_0_68_68 = e1 % 19.11/4.98 | (335) all_0_73_73 = e1 % 19.11/4.98 | (336) all_0_78_78 = e1 % 19.11/4.98 | (337) all_0_83_83 = e1 % 19.11/4.98 | % 19.11/4.98 | Equations (336) can reduce 19 to: % 19.11/4.98 | (1171) ~ (all_0_70_70 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (337) can reduce 24 to: % 19.11/4.98 | (294) ~ (all_0_71_71 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (335) can reduce 1052 to: % 19.11/4.98 | (789) ~ (unit = e1) % 19.11/4.98 | % 19.11/4.98 | Simplifying 789 yields: % 19.11/4.98 | (318) ~ (unit = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (336) can reduce 271 to: % 19.11/4.98 | (1315) ~ (all_0_74_74 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (337) can reduce 196 to: % 19.11/4.98 | (859) ~ (all_0_75_75 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (336) can reduce 109 to: % 19.11/4.98 | (376) ~ (all_0_76_76 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (336) can reduce 219 to: % 19.11/4.98 | (377) ~ (all_0_77_77 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (337) can reduce 77 to: % 19.11/4.98 | (419) ~ (all_0_80_80 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (337) can reduce 6 to: % 19.11/4.98 | (425) ~ (all_0_81_81 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (337) can reduce 42 to: % 19.11/4.98 | (1320) ~ (all_0_82_82 = e1) % 19.11/4.98 | % 19.11/4.98 | From (335) and (22) follows: % 19.11/4.98 | (2411) op(e1, e1) = all_0_26_26 % 19.11/4.98 | % 19.11/4.98 | From (337) and (274) follows: % 19.11/4.98 | (2412) op(e1, e1) = all_0_66_66 % 19.11/4.98 | % 19.11/4.98 | From (337) and (136) follows: % 19.11/4.98 | (2413) op(e1, e0) = all_0_67_67 % 19.11/4.98 | % 19.11/4.98 | From (335) and (47) follows: % 19.11/4.98 | (2414) op(e2, e2) = e1 % 19.11/4.98 | % 19.11/4.98 | From (335) and (207) follows: % 19.11/4.98 | (2415) op(e1, e1) = all_0_41_41 % 19.11/4.98 | % 19.11/4.98 | From (336) and (3) follows: % 19.11/4.98 | (2416) op(e1, e1) = all_0_46_46 % 19.11/4.98 | % 19.11/4.98 | From (337) and (1583) follows: % 19.11/4.98 | (2417) op(e1, e1) = all_0_75_75 % 19.11/4.98 | % 19.11/4.98 | From (335) and (140) follows: % 19.11/4.98 | (2418) op(e0, e1) = all_0_57_57 % 19.11/4.98 | % 19.11/4.98 | From (337) and (272) follows: % 19.11/4.98 | (2419) op(e0, e1) = all_0_67_67 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (107), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (877) ~ (all_0_75_75 = e3) % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (148), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (514) ~ (all_0_73_73 = e1) % 19.11/4.98 | % 19.11/4.98 | Equations (335) can reduce 514 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (335) all_0_73_73 = e1 % 19.11/4.98 | (398) ~ (all_0_81_81 = e3) % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (253), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (883) all_0_75_75 = e3 % 19.11/4.98 | % 19.11/4.98 | Equations (883) can reduce 877 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (877) ~ (all_0_75_75 = e3) % 19.11/4.98 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (886), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (887) all_0_75_75 = e2 % 19.11/4.98 | % 19.11/4.98 | Equations (887) can reduce 881 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (881) ~ (all_0_75_75 = e2) % 19.11/4.98 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (890), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (895) all_0_75_75 = e1 % 19.11/4.98 | % 19.11/4.98 | Equations (895) can reduce 859 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (859) ~ (all_0_75_75 = e1) % 19.11/4.98 | (898) all_0_75_75 = e0 % 19.11/4.98 | % 19.11/4.98 | Equations (898) can reduce 251 to: % 19.11/4.98 | (526) ~ (all_0_71_71 = e0) % 19.11/4.98 | % 19.11/4.98 | Equations (898) can reduce 173 to: % 19.11/4.98 | (292) ~ (all_0_74_74 = e0) % 19.11/4.98 | % 19.11/4.98 | Equations (898) can reduce 732 to: % 19.11/4.98 | (768) ~ (unit = e0) % 19.11/4.98 | % 19.11/4.98 | Simplifying 768 yields: % 19.11/4.98 | (769) ~ (unit = e0) % 19.11/4.98 | % 19.11/4.98 | From (898) and (120) follows: % 19.11/4.98 | (2441) op(e0, e1) = all_0_34_34 % 19.11/4.98 | % 19.11/4.98 | From (898) and (36) follows: % 19.11/4.98 | (2442) op(e1, e0) = all_0_43_43 % 19.11/4.98 | % 19.11/4.98 | From (898) and (2417) follows: % 19.11/4.98 | (2443) op(e1, e1) = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (48), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (529) all_0_71_71 = e3 % 19.11/4.98 | % 19.11/4.98 | Equations (529) can reduce 17 to: % 19.11/4.98 | (1258) ~ (all_0_70_70 = e3) % 19.11/4.98 | % 19.11/4.98 | Equations (529) can reduce 1136 to: % 19.11/4.98 | (2243) ~ (unit = e3) % 19.11/4.98 | % 19.11/4.98 | Simplifying 2243 yields: % 19.11/4.98 | (666) ~ (unit = e3) % 19.11/4.98 | % 19.11/4.98 | From (529) and (89) follows: % 19.11/4.98 | (2448) op(e3, e2) = all_0_17_17 % 19.11/4.98 | % 19.11/4.98 | From (529) and (280) follows: % 19.11/4.98 | (2449) op(e3, e3) = all_0_7_7 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (101), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (396) all_0_69_69 = e3 % 19.11/4.98 | % 19.11/4.98 | Combining equations (396,1047) yields a new equation: % 19.11/4.98 | (672) unit = e3 % 19.11/4.98 | % 19.11/4.98 | Equations (672) can reduce 666 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (435) ~ (all_0_69_69 = e3) % 19.11/4.98 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (436), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (437) all_0_69_69 = e2 % 19.11/4.98 | % 19.11/4.98 | Combining equations (437,1047) yields a new equation: % 19.11/4.98 | (679) unit = e2 % 19.11/4.98 | % 19.11/4.98 | Equations (679) can reduce 1135 to: % 19.11/4.98 | (296) ~ (all_0_70_70 = e2) % 19.11/4.98 | % 19.11/4.98 | Equations (679) can reduce 1283 to: % 19.11/4.98 | (1378) ~ (all_0_74_74 = e2) % 19.11/4.98 | % 19.11/4.98 | Equations (679) can reduce 314 to: % 19.11/4.98 | (357) ~ (all_0_76_76 = e2) % 19.11/4.98 | % 19.11/4.98 | Equations (679) can reduce 1288 to: % 19.11/4.98 | (446) ~ (all_0_77_77 = e2) % 19.11/4.98 | % 19.11/4.98 | Equations (679) can reduce 2165 to: % 19.11/4.98 | (391) ~ (all_0_81_81 = e2) % 19.11/4.98 | % 19.11/4.98 | From (679) and (199) follows: % 19.11/4.98 | (2462) op(e3, e2) = e3 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (35), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (1188) all_0_70_70 = e3 % 19.11/4.98 | % 19.11/4.98 | Equations (1188) can reduce 1258 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (1258) ~ (all_0_70_70 = e3) % 19.11/4.98 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (139), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (399) all_0_81_81 = e3 % 19.11/4.98 | % 19.11/4.98 | Equations (399) can reduce 398 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (398) ~ (all_0_81_81 = e3) % 19.11/4.98 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (282), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (870) all_0_74_74 = e3 % 19.11/4.98 | % 19.11/4.98 | Equations (870) can reduce 133 to: % 19.11/4.98 | (2266) ~ (all_0_82_82 = e3) % 19.11/4.98 | % 19.11/4.98 | Simplifying 2266 yields: % 19.11/4.98 | (1143) ~ (all_0_82_82 = e3) % 19.11/4.98 | % 19.11/4.98 | From (870) and (63) follows: % 19.11/4.98 | (2474) op(e3, e2) = all_0_29_29 % 19.11/4.98 | % 19.11/4.98 | From (870) and (10) follows: % 19.11/4.98 | (2475) op(e2, e3) = all_0_26_26 % 19.11/4.98 | % 19.11/4.98 | From (870) and (52) follows: % 19.11/4.98 | (2476) op(e0, e3) = all_0_58_58 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (402), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (410) all_0_81_81 = e2 % 19.11/4.98 | % 19.11/4.98 | Equations (410) can reduce 391 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (391) ~ (all_0_81_81 = e2) % 19.11/4.98 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (1259), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (1260) all_0_70_70 = e2 % 19.11/4.98 | % 19.11/4.98 | Equations (1260) can reduce 296 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (296) ~ (all_0_70_70 = e2) % 19.11/4.98 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 19.11/4.98 | % 19.11/4.98 +-Applying beta-rule and splitting (413), into two cases. % 19.11/4.98 |-Branch one: % 19.11/4.98 | (418) all_0_81_81 = e1 % 19.11/4.98 | % 19.11/4.98 | Equations (418) can reduce 425 to: % 19.11/4.98 | (326) $false % 19.11/4.98 | % 19.11/4.98 |-The branch is then unsatisfiable % 19.11/4.98 |-Branch two: % 19.11/4.98 | (425) ~ (all_0_81_81 = e1) % 19.11/4.98 | (426) all_0_81_81 = e0 % 19.11/4.98 | % 19.11/4.98 | Equations (426) can reduce 11 to: % 19.11/4.98 | (350) ~ (all_0_77_77 = e0) % 19.11/4.98 | % 19.11/4.98 | Equations (426) can reduce 227 to: % 19.11/4.98 | (1367) ~ (all_0_82_82 = e0) % 19.11/4.98 | % 19.11/4.98 | Simplifying 1367 yields: % 19.11/4.98 | (1368) ~ (all_0_82_82 = e0) % 19.11/4.98 | % 19.11/4.98 | From (426) and (189) follows: % 19.11/4.98 | (2492) op(e0, e2) = all_0_57_57 % 19.11/4.98 | % 19.11/4.98 | From (426) and (116) follows: % 19.11/4.99 | (2493) op(e0, e1) = all_0_58_58 % 19.11/4.99 | % 19.11/4.99 | From (426) and (78) follows: % 19.11/4.99 | (2494) op(e3, e0) = all_0_17_17 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (237), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (384) all_0_77_77 = e3 % 19.11/4.99 | % 19.11/4.99 | Equations (384) can reduce 228 to: % 19.11/4.99 | (453) ~ (all_0_76_76 = e3) % 19.11/4.99 | % 19.11/4.99 | From (384) and (198) follows: % 19.11/4.99 | (2497) op(e3, e0) = all_0_43_43 % 19.11/4.99 | % 19.11/4.99 | From (384) and (51) follows: % 19.11/4.99 | (2498) op(e3, e3) = all_0_13_13 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (123), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (1140) all_0_82_82 = e3 % 19.11/4.99 | % 19.11/4.99 | Equations (1140) can reduce 1143 to: % 19.11/4.99 | (326) $false % 19.11/4.99 | % 19.11/4.99 |-The branch is then unsatisfiable % 19.11/4.99 |-Branch two: % 19.11/4.99 | (1143) ~ (all_0_82_82 = e3) % 19.11/4.99 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (112), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (378) all_0_76_76 = e3 % 19.11/4.99 | % 19.11/4.99 | Equations (378) can reduce 453 to: % 19.11/4.99 | (326) $false % 19.11/4.99 | % 19.11/4.99 |-The branch is then unsatisfiable % 19.11/4.99 |-Branch two: % 19.11/4.99 | (453) ~ (all_0_76_76 = e3) % 19.11/4.99 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (1144), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (1369) all_0_82_82 = e2 % 19.11/4.99 | % 19.11/4.99 | Equations (1369) can reduce 95 to: % 19.11/4.99 | (405) ~ (all_0_80_80 = e2) % 19.11/4.99 | % 19.11/4.99 | From (1369) and (212) follows: % 19.11/4.99 | (2509) op(e3, e2) = all_0_18_18 % 19.11/4.99 | % 19.11/4.99 | From (1369) and (4) follows: % 19.11/4.99 | (2510) op(e2, e2) = all_0_34_34 % 19.11/4.99 | % 19.11/4.99 | From (1369) and (23) follows: % 19.11/4.99 | (2511) op(e0, e1) = e2 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (1263), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (1264) all_0_70_70 = e1 % 19.11/4.99 | % 19.11/4.99 | Equations (1264) can reduce 1171 to: % 19.11/4.99 | (326) $false % 19.11/4.99 | % 19.11/4.99 |-The branch is then unsatisfiable % 19.11/4.99 |-Branch two: % 19.11/4.99 | (1171) ~ (all_0_70_70 = e1) % 19.11/4.99 | (1267) all_0_70_70 = e0 % 19.11/4.99 | % 19.11/4.99 | From (1267) and (188) follows: % 19.11/4.99 | (2516) op(e0, e3) = all_0_12_12 % 19.11/4.99 | % 19.11/4.99 | From (1267) and (284) follows: % 19.11/4.99 | (2517) op(e0, e2) = all_0_13_13 % 19.11/4.99 | % 19.11/4.99 | From (1267) and (254) follows: % 19.11/4.99 | (2518) op(e3, e0) = all_0_6_6 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (238), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (406) all_0_80_80 = e3 % 19.11/4.99 | % 19.11/4.99 | From (406) and (81) follows: % 19.11/4.99 | (2520) op(e3, e3) = all_0_52_52 % 19.11/4.99 | % 19.11/4.99 | From (406) and (170) follows: % 19.11/4.99 | (2521) op(e2, e3) = all_0_32_32 % 19.11/4.99 | % 19.11/4.99 | From (406) and (82) follows: % 19.11/4.99 | (2522) op(e0, e3) = all_0_64_64 % 19.11/4.99 | % 19.11/4.99 | From (406) and (168) follows: % 19.11/4.99 | (2523) op(e0, e3) = e3 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (454), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (455) all_0_76_76 = e2 % 19.11/4.99 | % 19.11/4.99 | Equations (455) can reduce 357 to: % 19.11/4.99 | (326) $false % 19.11/4.99 | % 19.11/4.99 |-The branch is then unsatisfiable % 19.11/4.99 |-Branch two: % 19.11/4.99 | (357) ~ (all_0_76_76 = e2) % 19.11/4.99 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/4.99 | % 19.11/4.99 +-Applying beta-rule and splitting (458), into two cases. % 19.11/4.99 |-Branch one: % 19.11/4.99 | (459) all_0_76_76 = e1 % 19.11/4.99 | % 19.11/4.99 | Equations (459) can reduce 376 to: % 19.11/4.99 | (326) $false % 19.11/4.99 | % 19.11/4.99 |-The branch is then unsatisfiable % 19.11/4.99 |-Branch two: % 19.11/4.99 | (376) ~ (all_0_76_76 = e1) % 19.11/4.99 | (462) all_0_76_76 = e0 % 19.11/4.99 | % 19.11/4.99 | Equations (462) can reduce 376 to: % 19.11/4.99 | (1213) ~ (e1 = e0) % 19.11/4.99 | % 19.11/4.99 | Simplifying 1213 yields: % 19.11/4.99 | (71) ~ (e1 = e0) % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e3, all_0_13_13, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_13_13, yields: % 19.11/4.99 | (2534) all_0_7_7 = all_0_13_13 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e3, all_0_52_52, all_0_7_7 and discharging atoms op(e3, e3) = all_0_7_7, op(e3, e3) = all_0_52_52, yields: % 19.11/4.99 | (2535) all_0_7_7 = all_0_52_52 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e2, all_0_18_18, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_18_18, yields: % 19.11/4.99 | (2536) all_0_17_17 = all_0_18_18 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e2, all_0_29_29, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_29_29, yields: % 19.11/4.99 | (2537) all_0_17_17 = all_0_29_29 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e2, e3, all_0_18_18 and discharging atoms op(e3, e2) = all_0_18_18, op(e3, e2) = e3, yields: % 19.11/4.99 | (2538) all_0_18_18 = e3 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e0, all_0_17_17, all_0_6_6 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = all_0_17_17, yields: % 19.11/4.99 | (2539) all_0_6_6 = all_0_17_17 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e3, e0, all_0_43_43, all_0_6_6 and discharging atoms op(e3, e0) = all_0_6_6, op(e3, e0) = all_0_43_43, yields: % 19.11/4.99 | (2540) all_0_6_6 = all_0_43_43 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e2, e3, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e3) = all_0_26_26, op(e2, e3) = all_0_32_32, yields: % 19.11/4.99 | (2541) all_0_26_26 = all_0_32_32 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e2, e2, e1, all_0_34_34 and discharging atoms op(e2, e2) = all_0_34_34, op(e2, e2) = e1, yields: % 19.11/4.99 | (1870) all_0_34_34 = e1 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e1, all_0_36_36, all_0_26_26 and discharging atoms op(e1, e1) = all_0_26_26, op(e1, e1) = all_0_36_36, yields: % 19.11/4.99 | (2543) all_0_26_26 = all_0_36_36 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e1, all_0_41_41, all_0_26_26 and discharging atoms op(e1, e1) = all_0_26_26, op(e1, e1) = all_0_41_41, yields: % 19.11/4.99 | (2544) all_0_26_26 = all_0_41_41 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e1, all_0_46_46, all_0_6_6 and discharging atoms op(e1, e1) = all_0_6_6, op(e1, e1) = all_0_46_46, yields: % 19.11/4.99 | (2545) all_0_6_6 = all_0_46_46 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e1, all_0_66_66, all_0_41_41 and discharging atoms op(e1, e1) = all_0_41_41, op(e1, e1) = all_0_66_66, yields: % 19.11/4.99 | (2546) all_0_41_41 = all_0_66_66 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e1, all_0_66_66, all_0_46_46 and discharging atoms op(e1, e1) = all_0_46_46, op(e1, e1) = all_0_66_66, yields: % 19.11/4.99 | (1671) all_0_46_46 = all_0_66_66 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e1, e0, all_0_26_26 and discharging atoms op(e1, e1) = all_0_26_26, op(e1, e1) = e0, yields: % 19.11/4.99 | (2548) all_0_26_26 = e0 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e1, e0, all_0_67_67, all_0_43_43 and discharging atoms op(e1, e0) = all_0_43_43, op(e1, e0) = all_0_67_67, yields: % 19.11/4.99 | (2549) all_0_43_43 = all_0_67_67 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e3, all_0_58_58, all_0_12_12 and discharging atoms op(e0, e3) = all_0_12_12, op(e0, e3) = all_0_58_58, yields: % 19.11/4.99 | (2550) all_0_12_12 = all_0_58_58 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e3, all_0_64_64, all_0_12_12 and discharging atoms op(e0, e3) = all_0_12_12, op(e0, e3) = all_0_64_64, yields: % 19.11/4.99 | (2551) all_0_12_12 = all_0_64_64 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e3, e3, all_0_58_58 and discharging atoms op(e0, e3) = all_0_58_58, op(e0, e3) = e3, yields: % 19.11/4.99 | (2552) all_0_58_58 = e3 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e2, all_0_57_57, all_0_13_13 and discharging atoms op(e0, e2) = all_0_13_13, op(e0, e2) = all_0_57_57, yields: % 19.11/4.99 | (2553) all_0_13_13 = all_0_57_57 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e1, all_0_52_52, all_0_34_34 and discharging atoms op(e0, e1) = all_0_34_34, op(e0, e1) = all_0_52_52, yields: % 19.11/4.99 | (2554) all_0_34_34 = all_0_52_52 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e1, all_0_67_67, all_0_57_57 and discharging atoms op(e0, e1) = all_0_57_57, op(e0, e1) = all_0_67_67, yields: % 19.11/4.99 | (2555) all_0_57_57 = all_0_67_67 % 19.11/4.99 | % 19.11/4.99 | Instantiating formula (218) with e0, e1, e2, all_0_58_58 and discharging atoms op(e0, e1) = all_0_58_58, op(e0, e1) = e2, yields: % 19.11/4.99 | (2556) all_0_58_58 = e2 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2539,2540) yields a new equation: % 19.11/4.99 | (2557) all_0_17_17 = all_0_43_43 % 19.11/4.99 | % 19.11/4.99 | Simplifying 2557 yields: % 19.11/4.99 | (2558) all_0_17_17 = all_0_43_43 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2545,2540) yields a new equation: % 19.11/4.99 | (1863) all_0_43_43 = all_0_46_46 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2534,2535) yields a new equation: % 19.11/4.99 | (2560) all_0_13_13 = all_0_52_52 % 19.11/4.99 | % 19.11/4.99 | Simplifying 2560 yields: % 19.11/4.99 | (2561) all_0_13_13 = all_0_52_52 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2550,2551) yields a new equation: % 19.11/4.99 | (2562) all_0_58_58 = all_0_64_64 % 19.11/4.99 | % 19.11/4.99 | Simplifying 2562 yields: % 19.11/4.99 | (2563) all_0_58_58 = all_0_64_64 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2553,2561) yields a new equation: % 19.11/4.99 | (2564) all_0_52_52 = all_0_57_57 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2536,2537) yields a new equation: % 19.11/4.99 | (2565) all_0_18_18 = all_0_29_29 % 19.11/4.99 | % 19.11/4.99 | Simplifying 2565 yields: % 19.11/4.99 | (2566) all_0_18_18 = all_0_29_29 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2558,2537) yields a new equation: % 19.11/4.99 | (2567) all_0_29_29 = all_0_43_43 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2566,2538) yields a new equation: % 19.11/4.99 | (2568) all_0_29_29 = e3 % 19.11/4.99 | % 19.11/4.99 | Simplifying 2568 yields: % 19.11/4.99 | (2569) all_0_29_29 = e3 % 19.11/4.99 | % 19.11/4.99 | Combining equations (2548,2541) yields a new equation: % 19.11/4.99 | (2570) all_0_32_32 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2543,2541) yields a new equation: % 19.11/5.00 | (2571) all_0_32_32 = all_0_36_36 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2544,2541) yields a new equation: % 19.11/5.00 | (2572) all_0_32_32 = all_0_41_41 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2567,2569) yields a new equation: % 19.11/5.00 | (2573) all_0_43_43 = e3 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2573 yields: % 19.11/5.00 | (2574) all_0_43_43 = e3 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2572,2571) yields a new equation: % 19.11/5.00 | (2575) all_0_36_36 = all_0_41_41 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2570,2571) yields a new equation: % 19.11/5.00 | (2576) all_0_36_36 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2554,1870) yields a new equation: % 19.11/5.00 | (2577) all_0_52_52 = e1 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2577 yields: % 19.11/5.00 | (2578) all_0_52_52 = e1 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2575,2576) yields a new equation: % 19.11/5.00 | (2579) all_0_41_41 = e0 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2579 yields: % 19.11/5.00 | (2580) all_0_41_41 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2546,2580) yields a new equation: % 19.11/5.00 | (2581) all_0_66_66 = e0 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2581 yields: % 19.11/5.00 | (2582) all_0_66_66 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2549,2574) yields a new equation: % 19.11/5.00 | (2583) all_0_67_67 = e3 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2583 yields: % 19.11/5.00 | (2584) all_0_67_67 = e3 % 19.11/5.00 | % 19.11/5.00 | Combining equations (1863,2574) yields a new equation: % 19.11/5.00 | (2585) all_0_46_46 = e3 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2585 yields: % 19.11/5.00 | (2586) all_0_46_46 = e3 % 19.11/5.00 | % 19.11/5.00 | Combining equations (1671,2586) yields a new equation: % 19.11/5.00 | (2587) all_0_66_66 = e3 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2587 yields: % 19.11/5.00 | (2588) all_0_66_66 = e3 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2564,2578) yields a new equation: % 19.11/5.00 | (2589) all_0_57_57 = e1 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2589 yields: % 19.11/5.00 | (2590) all_0_57_57 = e1 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2555,2590) yields a new equation: % 19.11/5.00 | (2591) all_0_67_67 = e1 % 19.11/5.00 | % 19.11/5.00 | Simplifying 2591 yields: % 19.11/5.00 | (2592) all_0_67_67 = e1 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2552,2563) yields a new equation: % 19.11/5.00 | (2593) all_0_64_64 = e3 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2556,2563) yields a new equation: % 19.11/5.00 | (2594) all_0_64_64 = e2 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2593,2594) yields a new equation: % 19.11/5.00 | (1222) e3 = e2 % 19.11/5.00 | % 19.11/5.00 | Simplifying 1222 yields: % 19.11/5.00 | (1223) e3 = e2 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2588,2582) yields a new equation: % 19.11/5.00 | (1224) e3 = e0 % 19.11/5.00 | % 19.11/5.00 | Simplifying 1224 yields: % 19.11/5.00 | (1225) e3 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (2584,2592) yields a new equation: % 19.11/5.00 | (485) e3 = e1 % 19.11/5.00 | % 19.11/5.00 | Simplifying 485 yields: % 19.11/5.00 | (486) e3 = e1 % 19.11/5.00 | % 19.11/5.00 | Combining equations (1225,1223) yields a new equation: % 19.11/5.00 | (1227) e2 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (486,1223) yields a new equation: % 19.11/5.00 | (494) e2 = e1 % 19.11/5.00 | % 19.11/5.00 | Combining equations (494,1227) yields a new equation: % 19.11/5.00 | (1241) e1 = e0 % 19.11/5.00 | % 19.11/5.00 | Simplifying 1241 yields: % 19.11/5.00 | (632) e1 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (632) can reduce 71 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (383) ~ (all_0_80_80 = e3) % 19.11/5.00 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (454), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (455) all_0_76_76 = e2 % 19.11/5.00 | % 19.11/5.00 | Equations (455) can reduce 357 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (357) ~ (all_0_76_76 = e2) % 19.11/5.00 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (409), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (414) all_0_80_80 = e2 % 19.11/5.00 | % 19.11/5.00 | Equations (414) can reduce 405 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (405) ~ (all_0_80_80 = e2) % 19.11/5.00 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (458), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (459) all_0_76_76 = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (459) can reduce 376 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (376) ~ (all_0_76_76 = e1) % 19.11/5.00 | (462) all_0_76_76 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (462) can reduce 258 to: % 19.11/5.00 | (2620) ~ (all_0_80_80 = e0) % 19.11/5.00 | % 19.11/5.00 | Simplifying 2620 yields: % 19.11/5.00 | (352) ~ (all_0_80_80 = e0) % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (417), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (420) all_0_80_80 = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (420) can reduce 419 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (419) ~ (all_0_80_80 = e1) % 19.11/5.00 | (423) all_0_80_80 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (423) can reduce 352 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (1358) ~ (all_0_82_82 = e2) % 19.11/5.00 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (1372), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (1373) all_0_82_82 = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (1373) can reduce 1320 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (1320) ~ (all_0_82_82 = e1) % 19.11/5.00 | (1376) all_0_82_82 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (1376) can reduce 1368 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (365) ~ (all_0_77_77 = e3) % 19.11/5.00 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (387), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (388) all_0_77_77 = e2 % 19.11/5.00 | % 19.11/5.00 | Equations (388) can reduce 446 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (446) ~ (all_0_77_77 = e2) % 19.11/5.00 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (447), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (448) all_0_77_77 = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (448) can reduce 377 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (377) ~ (all_0_77_77 = e1) % 19.11/5.00 | (451) all_0_77_77 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (451) can reduce 350 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (738) ~ (all_0_74_74 = e3) % 19.11/5.00 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (875), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (1356) all_0_74_74 = e2 % 19.11/5.00 | % 19.11/5.00 | Equations (1356) can reduce 1378 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (1378) ~ (all_0_74_74 = e2) % 19.11/5.00 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (1379), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (1380) all_0_74_74 = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (1380) can reduce 1315 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (1315) ~ (all_0_74_74 = e1) % 19.11/5.00 | (1383) all_0_74_74 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (1383) can reduce 292 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (389) ~ (all_0_69_69 = e2) % 19.11/5.00 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (440), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (441) all_0_69_69 = e1 % 19.11/5.00 | % 19.11/5.00 | Combining equations (441,1047) yields a new equation: % 19.11/5.00 | (338) unit = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (338) can reduce 318 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (366) ~ (all_0_69_69 = e1) % 19.11/5.00 | (444) all_0_69_69 = e0 % 19.11/5.00 | % 19.11/5.00 | Combining equations (444,1047) yields a new equation: % 19.11/5.00 | (345) unit = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (345) can reduce 769 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (613) ~ (all_0_71_71 = e3) % 19.11/5.00 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (614), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (615) all_0_71_71 = e2 % 19.11/5.00 | % 19.11/5.00 | Equations (615) can reduce 509 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (509) ~ (all_0_71_71 = e2) % 19.11/5.00 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/5.00 | % 19.11/5.00 +-Applying beta-rule and splitting (618), into two cases. % 19.11/5.00 |-Branch one: % 19.11/5.00 | (619) all_0_71_71 = e1 % 19.11/5.00 | % 19.11/5.00 | Equations (619) can reduce 294 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (294) ~ (all_0_71_71 = e1) % 19.11/5.00 | (622) all_0_71_71 = e0 % 19.11/5.00 | % 19.11/5.00 | Equations (622) can reduce 526 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (883) all_0_75_75 = e3 % 19.11/5.00 | (625) ~ (all_0_83_83 = e1) % 19.11/5.00 | % 19.11/5.00 | Equations (337) can reduce 625 to: % 19.11/5.00 | (326) $false % 19.11/5.00 | % 19.11/5.00 |-The branch is then unsatisfiable % 19.11/5.00 |-Branch two: % 19.11/5.00 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (340) yields: % 19.11/5.01 | (341) all_0_68_68 = e0 % 19.11/5.01 | (342) all_0_73_73 = e0 % 19.11/5.01 | (343) all_0_78_78 = e0 % 19.11/5.01 | (344) all_0_83_83 = e0 % 19.11/5.01 | % 19.11/5.01 | Combining equations (341,334) yields a new equation: % 19.11/5.01 | (632) e1 = e0 % 19.11/5.01 | % 19.11/5.01 | Equations (632) can reduce 71 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (652) all_0_2_2 = e3 % 19.11/5.01 | (640) all_0_0_0 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (640) can reduce 299 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (640) all_0_0_0 = e1 % 19.11/5.01 | (652) all_0_2_2 = e3 % 19.11/5.01 | % 19.11/5.01 | From (640) and (248) follows: % 19.11/5.01 | (1277) op(e3, e1) = unit % 19.11/5.01 | % 19.11/5.01 | From (652) and (174) follows: % 19.11/5.01 | (1278) op(e1, e3) = unit % 19.11/5.01 | % 19.11/5.01 | Instantiating formula (218) with e3, e1, unit, all_0_70_70 and discharging atoms op(e3, e1) = all_0_70_70, op(e3, e1) = unit, yields: % 19.11/5.01 | (1279) all_0_70_70 = unit % 19.11/5.01 | % 19.11/5.01 | Instantiating formula (218) with e1, e3, unit, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = unit, yields: % 19.11/5.01 | (1280) all_0_76_76 = unit % 19.11/5.01 | % 19.11/5.01 | Equations (1279) can reduce 152 to: % 19.11/5.01 | (310) ~ (all_0_69_69 = unit) % 19.11/5.01 | % 19.11/5.01 | Equations (1279) can reduce 17 to: % 19.11/5.01 | (2160) ~ (all_0_71_71 = unit) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2160 yields: % 19.11/5.01 | (1136) ~ (all_0_71_71 = unit) % 19.11/5.01 | % 19.11/5.01 | Equations (1280) can reduce 109 to: % 19.11/5.01 | (734) ~ (all_0_78_78 = unit) % 19.11/5.01 | % 19.11/5.01 | Simplifying 734 yields: % 19.11/5.01 | (735) ~ (all_0_78_78 = unit) % 19.11/5.01 | % 19.11/5.01 | Equations (1280) can reduce 357 to: % 19.11/5.01 | (667) ~ (unit = e2) % 19.11/5.01 | % 19.11/5.01 | From (1279) and (1574) follows: % 19.11/5.01 | (2701) op(unit, e0) = all_0_69_69 % 19.11/5.01 | % 19.11/5.01 | From (1280) and (206) follows: % 19.11/5.01 | (2702) op(unit, e0) = all_0_39_39 % 19.11/5.01 | % 19.11/5.01 | Instantiating formula (218) with unit, e0, all_0_39_39, e0 and discharging atoms op(unit, e0) = all_0_39_39, op(unit, e0) = e0, yields: % 19.11/5.01 | (2703) all_0_39_39 = e0 % 19.11/5.01 | % 19.11/5.01 | Instantiating formula (218) with unit, e0, all_0_69_69, all_0_39_39 and discharging atoms op(unit, e0) = all_0_39_39, op(unit, e0) = all_0_69_69, yields: % 19.11/5.01 | (2704) all_0_39_39 = all_0_69_69 % 19.11/5.01 | % 19.11/5.01 | Combining equations (2704,2703) yields a new equation: % 19.11/5.01 | (2705) all_0_69_69 = e0 % 19.11/5.01 | % 19.11/5.01 | Simplifying 2705 yields: % 19.11/5.01 | (444) all_0_69_69 = e0 % 19.11/5.01 | % 19.11/5.01 | Equations (444) can reduce 153 to: % 19.11/5.01 | (2707) ~ (all_0_71_71 = e0) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2707 yields: % 19.11/5.01 | (526) ~ (all_0_71_71 = e0) % 19.11/5.01 | % 19.11/5.01 | Equations (444) can reduce 220 to: % 19.11/5.01 | (1516) ~ (all_0_73_73 = e0) % 19.11/5.01 | % 19.11/5.01 | Simplifying 1516 yields: % 19.11/5.01 | (362) ~ (all_0_73_73 = e0) % 19.11/5.01 | % 19.11/5.01 | Equations (444) can reduce 310 to: % 19.11/5.01 | (768) ~ (unit = e0) % 19.11/5.01 | % 19.11/5.01 | Simplifying 768 yields: % 19.11/5.01 | (769) ~ (unit = e0) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (48), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (529) all_0_71_71 = e3 % 19.11/5.01 | % 19.11/5.01 | Equations (529) can reduce 24 to: % 19.11/5.01 | (2098) ~ (all_0_83_83 = e3) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2098 yields: % 19.11/5.01 | (1089) ~ (all_0_83_83 = e3) % 19.11/5.01 | % 19.11/5.01 | Equations (529) can reduce 1136 to: % 19.11/5.01 | (2243) ~ (unit = e3) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2243 yields: % 19.11/5.01 | (666) ~ (unit = e3) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (112), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (378) all_0_76_76 = e3 % 19.11/5.01 | % 19.11/5.01 | Combining equations (378,1280) yields a new equation: % 19.11/5.01 | (672) unit = e3 % 19.11/5.01 | % 19.11/5.01 | Equations (672) can reduce 666 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (453) ~ (all_0_76_76 = e3) % 19.11/5.01 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (454), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (455) all_0_76_76 = e2 % 19.11/5.01 | % 19.11/5.01 | Combining equations (455,1280) yields a new equation: % 19.11/5.01 | (679) unit = e2 % 19.11/5.01 | % 19.11/5.01 | Equations (679) can reduce 667 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (357) ~ (all_0_76_76 = e2) % 19.11/5.01 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (458), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (459) all_0_76_76 = e1 % 19.11/5.01 | % 19.11/5.01 | Combining equations (459,1280) yields a new equation: % 19.11/5.01 | (338) unit = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (338) can reduce 735 to: % 19.11/5.01 | (1173) ~ (all_0_78_78 = e1) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (270), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (319), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (320), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (321) yields: % 19.11/5.01 | (322) all_0_68_68 = e3 % 19.11/5.01 | (323) all_0_73_73 = e3 % 19.11/5.01 | (324) all_0_78_78 = e3 % 19.11/5.01 | (325) all_0_83_83 = e3 % 19.11/5.01 | % 19.11/5.01 | Equations (325) can reduce 1089 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (327) yields: % 19.11/5.01 | (328) all_0_68_68 = e2 % 19.11/5.01 | (329) all_0_73_73 = e2 % 19.11/5.01 | (330) all_0_78_78 = e2 % 19.11/5.01 | (331) all_0_83_83 = e2 % 19.11/5.01 | % 19.11/5.01 | Equations (331) can reduce 1552 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (333) yields: % 19.11/5.01 | (334) all_0_68_68 = e1 % 19.11/5.01 | (335) all_0_73_73 = e1 % 19.11/5.01 | (336) all_0_78_78 = e1 % 19.11/5.01 | (337) all_0_83_83 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (336) can reduce 1173 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (340) yields: % 19.11/5.01 | (341) all_0_68_68 = e0 % 19.11/5.01 | (342) all_0_73_73 = e0 % 19.11/5.01 | (343) all_0_78_78 = e0 % 19.11/5.01 | (344) all_0_83_83 = e0 % 19.11/5.01 | % 19.11/5.01 | Equations (342) can reduce 362 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (376) ~ (all_0_76_76 = e1) % 19.11/5.01 | (462) all_0_76_76 = e0 % 19.11/5.01 | % 19.11/5.01 | Combining equations (462,1280) yields a new equation: % 19.11/5.01 | (345) unit = e0 % 19.11/5.01 | % 19.11/5.01 | Equations (345) can reduce 769 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (613) ~ (all_0_71_71 = e3) % 19.11/5.01 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (614), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (615) all_0_71_71 = e2 % 19.11/5.01 | % 19.11/5.01 | Equations (615) can reduce 509 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (509) ~ (all_0_71_71 = e2) % 19.11/5.01 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (618), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (619) all_0_71_71 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (619) can reduce 294 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (294) ~ (all_0_71_71 = e1) % 19.11/5.01 | (622) all_0_71_71 = e0 % 19.11/5.01 | % 19.11/5.01 | Equations (622) can reduce 526 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (1260) all_0_70_70 = e2 % 19.11/5.01 | (951) ~ (all_0_78_78 = e0) % 19.11/5.01 | % 19.11/5.01 | Equations (1260) can reduce 17 to: % 19.11/5.01 | (1197) ~ (all_0_71_71 = e2) % 19.11/5.01 | % 19.11/5.01 | Simplifying 1197 yields: % 19.11/5.01 | (509) ~ (all_0_71_71 = e2) % 19.11/5.01 | % 19.11/5.01 | Equations (1260) can reduce 60 to: % 19.11/5.01 | (2776) ~ (all_0_74_74 = e2) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2776 yields: % 19.11/5.01 | (1378) ~ (all_0_74_74 = e2) % 19.11/5.01 | % 19.11/5.01 | Equations (1260) can reduce 19 to: % 19.11/5.01 | (2778) ~ (all_0_78_78 = e2) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2778 yields: % 19.11/5.01 | (295) ~ (all_0_78_78 = e2) % 19.11/5.01 | % 19.11/5.01 | Equations (1260) can reduce 265 to: % 19.11/5.01 | (1357) ~ (all_0_82_82 = e2) % 19.11/5.01 | % 19.11/5.01 | Simplifying 1357 yields: % 19.11/5.01 | (1358) ~ (all_0_82_82 = e2) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (143), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (324) all_0_78_78 = e3 % 19.11/5.01 | % 19.11/5.01 | Equations (324) can reduce 293 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (293) ~ (all_0_78_78 = e3) % 19.11/5.01 | (675) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0 % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (675), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (330) all_0_78_78 = e2 % 19.11/5.01 | % 19.11/5.01 | Equations (330) can reduce 295 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (295) ~ (all_0_78_78 = e2) % 19.11/5.01 | (682) all_0_78_78 = e1 | all_0_78_78 = e0 % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (682), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (336) all_0_78_78 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (336) can reduce 271 to: % 19.11/5.01 | (1315) ~ (all_0_74_74 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (336) can reduce 295 to: % 19.11/5.01 | (722) ~ (e2 = e1) % 19.11/5.01 | % 19.11/5.01 | Simplifying 722 yields: % 19.11/5.01 | (15) ~ (e2 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (336) can reduce 951 to: % 19.11/5.01 | (71) ~ (e1 = e0) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (282), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (870) all_0_74_74 = e3 % 19.11/5.01 | % 19.11/5.01 | Equations (870) can reduce 166 to: % 19.11/5.01 | (379) ~ (all_0_72_72 = e3) % 19.11/5.01 | % 19.11/5.01 | Equations (870) can reduce 173 to: % 19.11/5.01 | (2241) ~ (all_0_75_75 = e3) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2241 yields: % 19.11/5.01 | (877) ~ (all_0_75_75 = e3) % 19.11/5.01 | % 19.11/5.01 | Equations (870) can reduce 133 to: % 19.11/5.01 | (2266) ~ (all_0_82_82 = e3) % 19.11/5.01 | % 19.11/5.01 | Simplifying 2266 yields: % 19.11/5.01 | (1143) ~ (all_0_82_82 = e3) % 19.11/5.01 | % 19.11/5.01 | Equations (870) can reduce 1315 to: % 19.11/5.01 | (214) ~ (e3 = e1) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (270), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (319), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (320), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (321) yields: % 19.11/5.01 | (322) all_0_68_68 = e3 % 19.11/5.01 | (323) all_0_73_73 = e3 % 19.11/5.01 | (324) all_0_78_78 = e3 % 19.11/5.01 | (325) all_0_83_83 = e3 % 19.11/5.01 | % 19.11/5.01 | Combining equations (336,324) yields a new equation: % 19.11/5.01 | (486) e3 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (486) can reduce 214 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (327) yields: % 19.11/5.01 | (328) all_0_68_68 = e2 % 19.11/5.01 | (329) all_0_73_73 = e2 % 19.11/5.01 | (330) all_0_78_78 = e2 % 19.11/5.01 | (331) all_0_83_83 = e2 % 19.11/5.01 | % 19.11/5.01 | Combining equations (336,330) yields a new equation: % 19.11/5.01 | (494) e2 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (494) can reduce 15 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.11/5.01 | % 19.11/5.01 | Applying alpha-rule on (333) yields: % 19.11/5.01 | (334) all_0_68_68 = e1 % 19.11/5.01 | (335) all_0_73_73 = e1 % 19.11/5.01 | (336) all_0_78_78 = e1 % 19.11/5.01 | (337) all_0_83_83 = e1 % 19.11/5.01 | % 19.11/5.01 | Equations (335) can reduce 220 to: % 19.11/5.01 | (366) ~ (all_0_69_69 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (337) can reduce 24 to: % 19.11/5.01 | (294) ~ (all_0_71_71 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (335) can reduce 106 to: % 19.11/5.01 | (361) ~ (all_0_72_72 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (337) can reduce 196 to: % 19.11/5.01 | (859) ~ (all_0_75_75 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (337) can reduce 77 to: % 19.11/5.01 | (419) ~ (all_0_80_80 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (337) can reduce 6 to: % 19.11/5.01 | (425) ~ (all_0_81_81 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (337) can reduce 42 to: % 19.11/5.01 | (1320) ~ (all_0_82_82 = e1) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (130), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (298) ~ (all_0_69_69 = e0) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (164), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (317) ~ (all_0_68_68 = e1) % 19.11/5.01 | % 19.11/5.01 | Equations (334) can reduce 317 to: % 19.11/5.01 | (326) $false % 19.11/5.01 | % 19.11/5.01 |-The branch is then unsatisfiable % 19.11/5.01 |-Branch two: % 19.11/5.01 | (334) all_0_68_68 = e1 % 19.11/5.01 | (348) ~ (all_0_72_72 = e0) % 19.11/5.01 | % 19.11/5.01 +-Applying beta-rule and splitting (86), into two cases. % 19.11/5.01 |-Branch one: % 19.11/5.01 | (392) all_0_72_72 = e3 % 19.11/5.01 | % 19.11/5.01 | Equations (392) can reduce 379 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (379) ~ (all_0_72_72 = e3) % 19.11/5.02 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (123), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (1140) all_0_82_82 = e3 % 19.11/5.02 | % 19.11/5.02 | Equations (1140) can reduce 1143 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (1143) ~ (all_0_82_82 = e3) % 19.11/5.02 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (395), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (403) all_0_72_72 = e2 % 19.11/5.02 | % 19.11/5.02 | Equations (403) can reduce 88 to: % 19.11/5.02 | (2844) ~ (all_0_75_75 = e2) % 19.11/5.02 | % 19.11/5.02 | Simplifying 2844 yields: % 19.11/5.02 | (881) ~ (all_0_75_75 = e2) % 19.11/5.02 | % 19.11/5.02 | Equations (403) can reduce 171 to: % 19.11/5.02 | (404) ~ (all_0_80_80 = e2) % 19.11/5.02 | % 19.11/5.02 | Simplifying 404 yields: % 19.11/5.02 | (405) ~ (all_0_80_80 = e2) % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (253), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (883) all_0_75_75 = e3 % 19.11/5.02 | % 19.11/5.02 | Equations (883) can reduce 877 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (877) ~ (all_0_75_75 = e3) % 19.11/5.02 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (1144), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (1369) all_0_82_82 = e2 % 19.11/5.02 | % 19.11/5.02 | Equations (1369) can reduce 1358 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (1358) ~ (all_0_82_82 = e2) % 19.11/5.02 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (1372), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (1373) all_0_82_82 = e1 % 19.11/5.02 | % 19.11/5.02 | Equations (1373) can reduce 1320 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (1320) ~ (all_0_82_82 = e1) % 19.11/5.02 | (1376) all_0_82_82 = e0 % 19.11/5.02 | % 19.11/5.02 | Equations (1376) can reduce 95 to: % 19.11/5.02 | (352) ~ (all_0_80_80 = e0) % 19.11/5.02 | % 19.11/5.02 | Equations (1376) can reduce 227 to: % 19.11/5.02 | (353) ~ (all_0_81_81 = e0) % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (238), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (406) all_0_80_80 = e3 % 19.11/5.02 | % 19.11/5.02 | Equations (406) can reduce 244 to: % 19.11/5.02 | (397) ~ (all_0_81_81 = e3) % 19.11/5.02 | % 19.11/5.02 | Simplifying 397 yields: % 19.11/5.02 | (398) ~ (all_0_81_81 = e3) % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (886), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (887) all_0_75_75 = e2 % 19.11/5.02 | % 19.11/5.02 | Equations (887) can reduce 881 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (881) ~ (all_0_75_75 = e2) % 19.11/5.02 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (890), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (895) all_0_75_75 = e1 % 19.11/5.02 | % 19.11/5.02 | Equations (895) can reduce 859 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (859) ~ (all_0_75_75 = e1) % 19.11/5.02 | (898) all_0_75_75 = e0 % 19.11/5.02 | % 19.11/5.02 | Equations (898) can reduce 251 to: % 19.11/5.02 | (526) ~ (all_0_71_71 = e0) % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (139), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (399) all_0_81_81 = e3 % 19.11/5.02 | % 19.11/5.02 | Equations (399) can reduce 398 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (398) ~ (all_0_81_81 = e3) % 19.11/5.02 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (402), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (410) all_0_81_81 = e2 % 19.11/5.02 | % 19.11/5.02 | Equations (410) can reduce 118 to: % 19.11/5.02 | (389) ~ (all_0_69_69 = e2) % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (48), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (529) all_0_71_71 = e3 % 19.11/5.02 | % 19.11/5.02 | Equations (529) can reduce 153 to: % 19.11/5.02 | (435) ~ (all_0_69_69 = e3) % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (101), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (396) all_0_69_69 = e3 % 19.11/5.02 | % 19.11/5.02 | Equations (396) can reduce 435 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (435) ~ (all_0_69_69 = e3) % 19.11/5.02 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (436), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (437) all_0_69_69 = e2 % 19.11/5.02 | % 19.11/5.02 | Equations (437) can reduce 389 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (389) ~ (all_0_69_69 = e2) % 19.11/5.02 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (440), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (441) all_0_69_69 = e1 % 19.11/5.02 | % 19.11/5.02 | Equations (441) can reduce 366 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (366) ~ (all_0_69_69 = e1) % 19.11/5.02 | (444) all_0_69_69 = e0 % 19.11/5.02 | % 19.11/5.02 | Equations (444) can reduce 298 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (613) ~ (all_0_71_71 = e3) % 19.11/5.02 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.11/5.02 | % 19.11/5.02 +-Applying beta-rule and splitting (614), into two cases. % 19.11/5.02 |-Branch one: % 19.11/5.02 | (615) all_0_71_71 = e2 % 19.11/5.02 | % 19.11/5.02 | Equations (615) can reduce 509 to: % 19.11/5.02 | (326) $false % 19.11/5.02 | % 19.11/5.02 |-The branch is then unsatisfiable % 19.11/5.02 |-Branch two: % 19.11/5.02 | (509) ~ (all_0_71_71 = e2) % 19.11/5.02 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (618), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (619) all_0_71_71 = e1 % 19.50/5.02 | % 19.50/5.02 | Equations (619) can reduce 294 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (294) ~ (all_0_71_71 = e1) % 19.50/5.02 | (622) all_0_71_71 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (622) can reduce 526 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (391) ~ (all_0_81_81 = e2) % 19.50/5.02 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (413), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (418) all_0_81_81 = e1 % 19.50/5.02 | % 19.50/5.02 | Equations (418) can reduce 425 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (425) ~ (all_0_81_81 = e1) % 19.50/5.02 | (426) all_0_81_81 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (426) can reduce 353 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (383) ~ (all_0_80_80 = e3) % 19.50/5.02 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (409), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (414) all_0_80_80 = e2 % 19.50/5.02 | % 19.50/5.02 | Equations (414) can reduce 405 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (405) ~ (all_0_80_80 = e2) % 19.50/5.02 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (417), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (420) all_0_80_80 = e1 % 19.50/5.02 | % 19.50/5.02 | Equations (420) can reduce 419 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (419) ~ (all_0_80_80 = e1) % 19.50/5.02 | (423) all_0_80_80 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (423) can reduce 352 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (428) ~ (all_0_72_72 = e2) % 19.50/5.02 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (429), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (430) all_0_72_72 = e1 % 19.50/5.02 | % 19.50/5.02 | Equations (430) can reduce 361 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (361) ~ (all_0_72_72 = e1) % 19.50/5.02 | (433) all_0_72_72 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (433) can reduce 348 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (444) all_0_69_69 = e0 % 19.50/5.02 | (514) ~ (all_0_73_73 = e1) % 19.50/5.02 | % 19.50/5.02 | Equations (335) can reduce 514 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.50/5.02 | % 19.50/5.02 | Applying alpha-rule on (340) yields: % 19.50/5.02 | (341) all_0_68_68 = e0 % 19.50/5.02 | (342) all_0_73_73 = e0 % 19.50/5.02 | (343) all_0_78_78 = e0 % 19.50/5.02 | (344) all_0_83_83 = e0 % 19.50/5.02 | % 19.50/5.02 | Combining equations (336,343) yields a new equation: % 19.50/5.02 | (1241) e1 = e0 % 19.50/5.02 | % 19.50/5.02 | Simplifying 1241 yields: % 19.50/5.02 | (632) e1 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (632) can reduce 71 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (738) ~ (all_0_74_74 = e3) % 19.50/5.02 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (875), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (1356) all_0_74_74 = e2 % 19.50/5.02 | % 19.50/5.02 | Equations (1356) can reduce 1378 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (1378) ~ (all_0_74_74 = e2) % 19.50/5.02 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (1379), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (1380) all_0_74_74 = e1 % 19.50/5.02 | % 19.50/5.02 | Equations (1380) can reduce 1315 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (1315) ~ (all_0_74_74 = e1) % 19.50/5.02 | (1383) all_0_74_74 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (1383) can reduce 292 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (1173) ~ (all_0_78_78 = e1) % 19.50/5.02 | (343) all_0_78_78 = e0 % 19.50/5.02 | % 19.50/5.02 | Equations (343) can reduce 951 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (330) all_0_78_78 = e2 % 19.50/5.02 | (1143) ~ (all_0_82_82 = e3) % 19.50/5.02 | % 19.50/5.02 | Equations (330) can reduce 293 to: % 19.50/5.02 | (1553) ~ (e3 = e2) % 19.50/5.02 | % 19.50/5.02 | Simplifying 1553 yields: % 19.50/5.02 | (129) ~ (e3 = e2) % 19.50/5.02 | % 19.50/5.02 | From (330) and (85) follows: % 19.50/5.02 | (2960) op(e2, e3) = all_0_44_44 % 19.50/5.02 | % 19.50/5.02 | From (330) and (66) follows: % 19.50/5.02 | (2961) op(e2, e1) = all_0_46_46 % 19.50/5.02 | % 19.50/5.02 | From (330) and (181) follows: % 19.50/5.02 | (2962) op(e2, e0) = all_0_47_47 % 19.50/5.02 | % 19.50/5.02 | From (330) and (233) follows: % 19.50/5.02 | (2963) op(e3, e2) = all_0_14_14 % 19.50/5.02 | % 19.50/5.02 | From (330) and (3) follows: % 19.50/5.02 | (2964) op(e1, e2) = all_0_46_46 % 19.50/5.02 | % 19.50/5.02 | From (330) and (197) follows: % 19.50/5.02 | (2965) op(e0, e2) = all_0_62_62 % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (270), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (319), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.50/5.02 | % 19.50/5.02 +-Applying beta-rule and splitting (320), into two cases. % 19.50/5.02 |-Branch one: % 19.50/5.02 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.50/5.02 | % 19.50/5.02 | Applying alpha-rule on (321) yields: % 19.50/5.02 | (322) all_0_68_68 = e3 % 19.50/5.02 | (323) all_0_73_73 = e3 % 19.50/5.02 | (324) all_0_78_78 = e3 % 19.50/5.02 | (325) all_0_83_83 = e3 % 19.50/5.02 | % 19.50/5.02 | Combining equations (330,324) yields a new equation: % 19.50/5.02 | (1223) e3 = e2 % 19.50/5.02 | % 19.50/5.02 | Equations (1223) can reduce 129 to: % 19.50/5.02 | (326) $false % 19.50/5.02 | % 19.50/5.02 |-The branch is then unsatisfiable % 19.50/5.02 |-Branch two: % 19.50/5.02 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.50/5.02 | % 19.50/5.02 | Applying alpha-rule on (327) yields: % 19.50/5.02 | (328) all_0_68_68 = e2 % 19.50/5.02 | (329) all_0_73_73 = e2 % 19.50/5.02 | (330) all_0_78_78 = e2 % 19.50/5.02 | (331) all_0_83_83 = e2 % 19.50/5.02 | % 19.50/5.02 | Equations (328) can reduce 289 to: % 19.50/5.02 | (2980) ~ (all_0_76_76 = e2) % 19.50/5.02 | % 19.50/5.02 | Simplifying 2980 yields: % 19.50/5.02 | (357) ~ (all_0_76_76 = e2) % 19.50/5.02 | % 19.50/5.02 | Equations (331) can reduce 24 to: % 19.50/5.02 | (509) ~ (all_0_71_71 = e2) % 19.50/5.02 | % 19.50/5.02 | Equations (329) can reduce 50 to: % 19.50/5.02 | (2776) ~ (all_0_74_74 = e2) % 19.50/5.02 | % 19.50/5.02 | Simplifying 2776 yields: % 19.50/5.02 | (1378) ~ (all_0_74_74 = e2) % 19.50/5.02 | % 19.50/5.02 | Equations (331) can reduce 250 to: % 19.50/5.02 | (297) ~ (all_0_79_79 = e2) % 19.50/5.02 | % 19.50/5.02 | Equations (331) can reduce 77 to: % 19.50/5.02 | (405) ~ (all_0_80_80 = e2) % 19.50/5.02 | % 19.50/5.02 | From (328) and (255) follows: % 19.50/5.02 | (2987) op(e2, e3) = all_0_4_4 % 19.50/5.02 | % 19.50/5.02 | From (328) and (128) follows: % 19.50/5.02 | (2988) op(e2, e2) = all_0_5_5 % 19.50/5.02 | % 19.50/5.02 | From (328) and (147) follows: % 19.50/5.02 | (2989) op(e2, e1) = all_0_6_6 % 19.50/5.02 | % 19.50/5.02 | From (328) and (59) follows: % 19.50/5.02 | (2990) op(e2, e0) = all_0_7_7 % 19.50/5.02 | % 19.50/5.02 | From (329) and (208) follows: % 19.50/5.02 | (2991) op(e2, e3) = all_0_24_24 % 19.50/5.02 | % 19.50/5.02 | From (329) and (22) follows: % 19.50/5.02 | (2992) op(e2, e1) = all_0_26_26 % 19.50/5.02 | % 19.50/5.02 | From (329) and (31) follows: % 19.50/5.02 | (2993) op(e2, e0) = all_0_27_27 % 19.50/5.02 | % 19.50/5.02 | From (331) and (111) follows: % 19.50/5.02 | (2994) op(e2, e3) = all_0_64_64 % 19.50/5.03 | % 19.50/5.03 | From (331) and (274) follows: % 19.50/5.03 | (2995) op(e2, e1) = all_0_66_66 % 19.50/5.03 | % 19.50/5.03 | From (331) and (136) follows: % 19.50/5.03 | (2996) op(e2, e0) = all_0_67_67 % 19.50/5.03 | % 19.50/5.03 | From (328) and (281) follows: % 19.50/5.03 | (2997) op(e3, e2) = all_0_4_4 % 19.50/5.03 | % 19.50/5.03 | From (329) and (235) follows: % 19.50/5.03 | (2998) op(e3, e2) = all_0_9_9 % 19.50/5.03 | % 19.50/5.03 | From (331) and (16) follows: % 19.50/5.03 | (2999) op(e3, e2) = all_0_19_19 % 19.50/5.03 | % 19.50/5.03 | From (328) and (53) follows: % 19.50/5.03 | (3000) op(e3, e3) = e2 % 19.50/5.03 | % 19.50/5.03 | From (329) and (47) follows: % 19.50/5.03 | (3001) op(e2, e2) = e2 % 19.50/5.03 | % 19.50/5.03 | From (328) and (32) follows: % 19.50/5.03 | (3002) op(e1, e2) = all_0_36_36 % 19.50/5.03 | % 19.50/5.03 | From (329) and (207) follows: % 19.50/5.03 | (3003) op(e1, e2) = all_0_41_41 % 19.50/5.03 | % 19.50/5.03 | From (328) and (72) follows: % 19.50/5.03 | (3004) op(e0, e2) = all_0_52_52 % 19.50/5.03 | % 19.50/5.03 | From (329) and (140) follows: % 19.50/5.03 | (2492) op(e0, e2) = all_0_57_57 % 19.50/5.03 | % 19.50/5.03 | From (331) and (272) follows: % 19.50/5.03 | (3006) op(e0, e2) = all_0_67_67 % 19.50/5.03 | % 19.50/5.03 +-Applying beta-rule and splitting (75), into two cases. % 19.50/5.03 |-Branch one: % 19.50/5.03 | (1251) ~ (all_0_68_68 = e2) % 19.50/5.03 | % 19.50/5.03 | Equations (328) can reduce 1251 to: % 19.50/5.03 | (326) $false % 19.50/5.03 | % 19.50/5.03 |-The branch is then unsatisfiable % 19.50/5.03 |-Branch two: % 19.50/5.03 | (328) all_0_68_68 = e2 % 19.50/5.03 | (349) ~ (all_0_76_76 = e0) % 19.50/5.03 | % 19.50/5.03 +-Applying beta-rule and splitting (97), into two cases. % 19.50/5.03 |-Branch one: % 19.50/5.03 | (1251) ~ (all_0_68_68 = e2) % 19.50/5.03 | % 19.50/5.03 | Equations (328) can reduce 1251 to: % 19.50/5.03 | (326) $false % 19.50/5.03 | % 19.50/5.03 |-The branch is then unsatisfiable % 19.50/5.03 |-Branch two: % 19.50/5.03 | (328) all_0_68_68 = e2 % 19.50/5.03 | (419) ~ (all_0_80_80 = e1) % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e3, e2, all_0_14_14, all_0_69_69 and discharging atoms op(e3, e2) = all_0_14_14, op(e3, e2) = all_0_69_69, yields: % 19.50/5.03 | (3015) all_0_14_14 = all_0_69_69 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e3, e2, all_0_14_14, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_14_14, yields: % 19.50/5.03 | (3016) all_0_4_4 = all_0_14_14 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e3, e2, all_0_14_14, all_0_9_9 and discharging atoms op(e3, e2) = all_0_9_9, op(e3, e2) = all_0_14_14, yields: % 19.50/5.03 | (3017) all_0_9_9 = all_0_14_14 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e3, e2, all_0_19_19, all_0_9_9 and discharging atoms op(e3, e2) = all_0_9_9, op(e3, e2) = all_0_19_19, yields: % 19.50/5.03 | (3018) all_0_9_9 = all_0_19_19 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e3, all_0_24_24, all_0_72_72 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = all_0_72_72, yields: % 19.50/5.03 | (3019) all_0_24_24 = all_0_72_72 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e3, all_0_24_24, all_0_4_4 and discharging atoms op(e2, e3) = all_0_4_4, op(e2, e3) = all_0_24_24, yields: % 19.50/5.03 | (3020) all_0_4_4 = all_0_24_24 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e3, all_0_44_44, all_0_24_24 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = all_0_44_44, yields: % 19.50/5.03 | (3021) all_0_24_24 = all_0_44_44 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e3, all_0_64_64, all_0_4_4 and discharging atoms op(e2, e3) = all_0_4_4, op(e2, e3) = all_0_64_64, yields: % 19.50/5.03 | (3022) all_0_4_4 = all_0_64_64 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e2, e2, all_0_5_5 and discharging atoms op(e2, e2) = all_0_5_5, op(e2, e2) = e2, yields: % 19.50/5.03 | (3023) all_0_5_5 = e2 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e1, all_0_26_26, all_0_74_74 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_74_74, yields: % 19.50/5.03 | (3024) all_0_26_26 = all_0_74_74 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e1, all_0_26_26, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_26_26, yields: % 19.50/5.03 | (3025) all_0_6_6 = all_0_26_26 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e1, all_0_46_46, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_46_46, yields: % 19.50/5.03 | (2545) all_0_6_6 = all_0_46_46 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e1, all_0_66_66, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_66_66, yields: % 19.50/5.03 | (3027) all_0_6_6 = all_0_66_66 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e0, all_0_27_27, all_0_75_75 and discharging atoms op(e2, e0) = all_0_27_27, op(e2, e0) = all_0_75_75, yields: % 19.50/5.03 | (3028) all_0_27_27 = all_0_75_75 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e0, all_0_27_27, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_27_27, yields: % 19.50/5.03 | (3029) all_0_7_7 = all_0_27_27 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e0, all_0_47_47, all_0_27_27 and discharging atoms op(e2, e0) = all_0_27_27, op(e2, e0) = all_0_47_47, yields: % 19.50/5.03 | (3030) all_0_27_27 = all_0_47_47 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e2, e0, all_0_67_67, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_67_67, yields: % 19.50/5.03 | (3031) all_0_7_7 = all_0_67_67 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e1, e2, all_0_41_41, all_0_77_77 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_77_77, yields: % 19.50/5.03 | (3032) all_0_41_41 = all_0_77_77 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e1, e2, all_0_41_41, all_0_36_36 and discharging atoms op(e1, e2) = all_0_36_36, op(e1, e2) = all_0_41_41, yields: % 19.50/5.03 | (2575) all_0_36_36 = all_0_41_41 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e1, e2, all_0_46_46, all_0_36_36 and discharging atoms op(e1, e2) = all_0_36_36, op(e1, e2) = all_0_46_46, yields: % 19.50/5.03 | (3034) all_0_36_36 = all_0_46_46 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e0, e2, all_0_52_52, all_0_81_81 and discharging atoms op(e0, e2) = all_0_52_52, op(e0, e2) = all_0_81_81, yields: % 19.50/5.03 | (3035) all_0_52_52 = all_0_81_81 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e0, e2, all_0_62_62, all_0_52_52 and discharging atoms op(e0, e2) = all_0_52_52, op(e0, e2) = all_0_62_62, yields: % 19.50/5.03 | (1866) all_0_52_52 = all_0_62_62 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e0, e2, all_0_62_62, all_0_57_57 and discharging atoms op(e0, e2) = all_0_57_57, op(e0, e2) = all_0_62_62, yields: % 19.50/5.03 | (3037) all_0_57_57 = all_0_62_62 % 19.50/5.03 | % 19.50/5.03 | Instantiating formula (218) with e0, e2, all_0_67_67, all_0_57_57 and discharging atoms op(e0, e2) = all_0_57_57, op(e0, e2) = all_0_67_67, yields: % 19.50/5.03 | (2555) all_0_57_57 = all_0_67_67 % 19.50/5.03 | % 19.50/5.03 | Combining equations (3020,3022) yields a new equation: % 19.50/5.03 | (3039) all_0_24_24 = all_0_64_64 % 19.50/5.03 | % 19.50/5.03 | Simplifying 3039 yields: % 19.50/5.03 | (3040) all_0_24_24 = all_0_64_64 % 19.50/5.03 | % 19.50/5.03 | Combining equations (3016,3022) yields a new equation: % 19.50/5.03 | (3041) all_0_14_14 = all_0_64_64 % 19.50/5.03 | % 19.50/5.03 | Simplifying 3041 yields: % 19.50/5.03 | (3042) all_0_14_14 = all_0_64_64 % 19.50/5.03 | % 19.50/5.03 | Combining equations (3025,3027) yields a new equation: % 19.50/5.03 | (3043) all_0_26_26 = all_0_66_66 % 19.50/5.03 | % 19.50/5.03 | Simplifying 3043 yields: % 19.50/5.03 | (3044) all_0_26_26 = all_0_66_66 % 19.50/5.03 | % 19.50/5.03 | Combining equations (2545,3027) yields a new equation: % 19.50/5.03 | (3045) all_0_46_46 = all_0_66_66 % 19.50/5.03 | % 19.50/5.03 | Simplifying 3045 yields: % 19.50/5.03 | (1671) all_0_46_46 = all_0_66_66 % 19.50/5.03 | % 19.50/5.03 | Combining equations (3029,3031) yields a new equation: % 19.50/5.03 | (3047) all_0_27_27 = all_0_67_67 % 19.50/5.03 | % 19.50/5.03 | Simplifying 3047 yields: % 19.50/5.04 | (3048) all_0_27_27 = all_0_67_67 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3017,3018) yields a new equation: % 19.50/5.04 | (3049) all_0_14_14 = all_0_19_19 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3049 yields: % 19.50/5.04 | (3050) all_0_14_14 = all_0_19_19 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3042,3050) yields a new equation: % 19.50/5.04 | (3051) all_0_19_19 = all_0_64_64 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3015,3050) yields a new equation: % 19.50/5.04 | (3052) all_0_19_19 = all_0_69_69 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3052,3051) yields a new equation: % 19.50/5.04 | (3053) all_0_64_64 = all_0_69_69 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3019,3021) yields a new equation: % 19.50/5.04 | (3054) all_0_44_44 = all_0_72_72 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3040,3021) yields a new equation: % 19.50/5.04 | (3055) all_0_44_44 = all_0_64_64 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3044,3024) yields a new equation: % 19.50/5.04 | (3056) all_0_66_66 = all_0_74_74 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3056 yields: % 19.50/5.04 | (3057) all_0_66_66 = all_0_74_74 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3028,3030) yields a new equation: % 19.50/5.04 | (3058) all_0_47_47 = all_0_75_75 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3048,3030) yields a new equation: % 19.50/5.04 | (3059) all_0_47_47 = all_0_67_67 % 19.50/5.04 | % 19.50/5.04 | Combining equations (2575,3034) yields a new equation: % 19.50/5.04 | (3060) all_0_41_41 = all_0_46_46 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3060 yields: % 19.50/5.04 | (3061) all_0_41_41 = all_0_46_46 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3061,3032) yields a new equation: % 19.50/5.04 | (3062) all_0_46_46 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3062 yields: % 19.50/5.04 | (3063) all_0_46_46 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3054,3055) yields a new equation: % 19.50/5.04 | (3064) all_0_64_64 = all_0_72_72 % 19.50/5.04 | % 19.50/5.04 | Combining equations (1671,3063) yields a new equation: % 19.50/5.04 | (3065) all_0_66_66 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3065 yields: % 19.50/5.04 | (3066) all_0_66_66 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3059,3058) yields a new equation: % 19.50/5.04 | (3067) all_0_67_67 = all_0_75_75 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3067 yields: % 19.50/5.04 | (3068) all_0_67_67 = all_0_75_75 % 19.50/5.04 | % 19.50/5.04 | Combining equations (1866,3035) yields a new equation: % 19.50/5.04 | (3069) all_0_62_62 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3069 yields: % 19.50/5.04 | (3070) all_0_62_62 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3037,2555) yields a new equation: % 19.50/5.04 | (3071) all_0_62_62 = all_0_67_67 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3071 yields: % 19.50/5.04 | (1676) all_0_62_62 = all_0_67_67 % 19.50/5.04 | % 19.50/5.04 | Combining equations (1676,3070) yields a new equation: % 19.50/5.04 | (3073) all_0_67_67 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3073 yields: % 19.50/5.04 | (3074) all_0_67_67 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3064,3053) yields a new equation: % 19.50/5.04 | (3075) all_0_69_69 = all_0_72_72 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3066,3057) yields a new equation: % 19.50/5.04 | (3076) all_0_74_74 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3068,3074) yields a new equation: % 19.50/5.04 | (3077) all_0_75_75 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Simplifying 3077 yields: % 19.50/5.04 | (3078) all_0_75_75 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3076,3057) yields a new equation: % 19.50/5.04 | (3066) all_0_66_66 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3075,3053) yields a new equation: % 19.50/5.04 | (3064) all_0_64_64 = all_0_72_72 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3064,3055) yields a new equation: % 19.50/5.04 | (3054) all_0_44_44 = all_0_72_72 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3074,3031) yields a new equation: % 19.50/5.04 | (3082) all_0_7_7 = all_0_81_81 % 19.50/5.04 | % 19.50/5.04 | Combining equations (3066,3027) yields a new equation: % 19.50/5.04 | (3083) all_0_6_6 = all_0_77_77 % 19.50/5.04 | % 19.50/5.04 | Equations (3075) can reduce 153 to: % 19.50/5.04 | (3084) ~ (all_0_71_71 = all_0_72_72) % 19.50/5.04 | % 19.50/5.04 | Simplifying 3084 yields: % 19.50/5.04 | (3085) ~ (all_0_71_71 = all_0_72_72) % 19.50/5.04 | % 19.50/5.04 | Equations (3078) can reduce 251 to: % 19.50/5.04 | (3086) ~ (all_0_71_71 = all_0_81_81) % 19.50/5.04 | % 19.50/5.04 | Equations (3076) can reduce 166 to: % 19.50/5.04 | (3087) ~ (all_0_72_72 = all_0_77_77) % 19.50/5.04 | % 19.50/5.04 | Equations (3076,3078) can reduce 173 to: % 19.50/5.04 | (11) ~ (all_0_77_77 = all_0_81_81) % 19.50/5.04 | % 19.50/5.04 | Equations (3076) can reduce 1378 to: % 19.50/5.04 | (446) ~ (all_0_77_77 = e2) % 19.50/5.04 | % 19.50/5.04 | Equations (3078) can reduce 221 to: % 19.50/5.04 | (3090) ~ (all_0_79_79 = all_0_81_81) % 19.50/5.04 | % 19.50/5.04 | Simplifying 3090 yields: % 19.50/5.04 | (3091) ~ (all_0_79_79 = all_0_81_81) % 19.50/5.04 | % 19.50/5.04 | From (3075)(3023) and (103) follows: % 19.50/5.04 | (3092) op(e3, all_0_72_72) = e2 % 19.50/5.04 | % 19.50/5.04 | From (3083) and (254) follows: % 19.50/5.05 | (3093) op(e3, all_0_70_70) = all_0_77_77 % 19.50/5.05 | % 19.50/5.05 | From (3082) and (280) follows: % 19.50/5.05 | (3094) op(e3, all_0_71_71) = all_0_81_81 % 19.50/5.05 | % 19.50/5.05 | From (3064) and (2994) follows: % 19.50/5.05 | (29) op(e2, e3) = all_0_72_72 % 19.50/5.05 | % 19.50/5.05 | From (3054) and (8) follows: % 19.50/5.05 | (3096) op(e1, all_0_76_76) = all_0_72_72 % 19.50/5.05 | % 19.50/5.05 | From (3064) and (82) follows: % 19.50/5.05 | (3097) op(e0, all_0_80_80) = all_0_72_72 % 19.50/5.05 | % 19.50/5.05 | From (3074) and (3006) follows: % 19.50/5.05 | (126) op(e0, e2) = all_0_81_81 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e3, all_0_72_72, e2, all_0_8_8 and discharging atoms op(e3, all_0_72_72) = all_0_8_8, op(e3, all_0_72_72) = e2, yields: % 19.50/5.05 | (3099) all_0_8_8 = e2 % 19.50/5.05 | % 19.50/5.05 | From (3099) and (37) follows: % 19.50/5.05 | (3092) op(e3, all_0_72_72) = e2 % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (192), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (649) ~ (all_0_2_2 = e3) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (79), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (299) ~ (all_0_0_0 = e1) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (279), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (301) ~ (all_0_0_0 = e2) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (286), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (1044) ~ (all_0_3_3 = e3) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (236), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (304) ~ (all_0_0_0 = e0) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (115), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (305) all_0_0_0 = e3 % 19.50/5.05 | % 19.50/5.05 | From (305) and (248) follows: % 19.50/5.05 | (307) op(e3, e3) = unit % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e3, e3, unit, e2 and discharging atoms op(e3, e3) = unit, op(e3, e3) = e2, yields: % 19.50/5.05 | (679) unit = e2 % 19.50/5.05 | % 19.50/5.05 | From (679) and (56) follows: % 19.50/5.05 | (3109) op(e2, e3) = e3 % 19.50/5.05 | % 19.50/5.05 | From (679) and (163) follows: % 19.50/5.05 | (3110) op(e0, e2) = e0 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e2, e3, e3, all_0_72_72 and discharging atoms op(e2, e3) = all_0_72_72, op(e2, e3) = e3, yields: % 19.50/5.05 | (392) all_0_72_72 = e3 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e0, e2, e0, all_0_81_81 and discharging atoms op(e0, e2) = all_0_81_81, op(e0, e2) = e0, yields: % 19.50/5.05 | (426) all_0_81_81 = e0 % 19.50/5.05 | % 19.50/5.05 | Equations (392) can reduce 3085 to: % 19.50/5.05 | (613) ~ (all_0_71_71 = e3) % 19.50/5.05 | % 19.50/5.05 | Equations (426) can reduce 3086 to: % 19.50/5.05 | (526) ~ (all_0_71_71 = e0) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (48), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (529) all_0_71_71 = e3 % 19.50/5.05 | % 19.50/5.05 | Equations (529) can reduce 613 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (613) ~ (all_0_71_71 = e3) % 19.50/5.05 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (614), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (615) all_0_71_71 = e2 % 19.50/5.05 | % 19.50/5.05 | Equations (615) can reduce 509 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (509) ~ (all_0_71_71 = e2) % 19.50/5.05 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (618), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (619) all_0_71_71 = e1 % 19.50/5.05 | % 19.50/5.05 | Equations (619) can reduce 294 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (294) ~ (all_0_71_71 = e1) % 19.50/5.05 | (622) all_0_71_71 = e0 % 19.50/5.05 | % 19.50/5.05 | Equations (622) can reduce 526 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (634) ~ (all_0_0_0 = e3) % 19.50/5.05 | (635) all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0 % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (635), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (636) all_0_0_0 = e2 % 19.50/5.05 | % 19.50/5.05 | Equations (636) can reduce 301 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (301) ~ (all_0_0_0 = e2) % 19.50/5.05 | (639) all_0_0_0 = e1 | all_0_0_0 = e0 % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (639), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (640) all_0_0_0 = e1 % 19.50/5.05 | % 19.50/5.05 | Equations (640) can reduce 299 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (299) ~ (all_0_0_0 = e1) % 19.50/5.05 | (643) all_0_0_0 = e0 % 19.50/5.05 | % 19.50/5.05 | Equations (643) can reduce 304 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (643) all_0_0_0 = e0 % 19.50/5.05 | (646) all_0_3_3 = e3 % 19.50/5.05 | % 19.50/5.05 | Equations (646) can reduce 1044 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (646) all_0_3_3 = e3 % 19.50/5.05 | (643) all_0_0_0 = e0 % 19.50/5.05 | % 19.50/5.05 | From (643) and (248) follows: % 19.50/5.05 | (650) op(e3, e0) = unit % 19.50/5.05 | % 19.50/5.05 | From (646) and (49) follows: % 19.50/5.05 | (651) op(e0, e3) = unit % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e3, e0, unit, all_0_71_71 and discharging atoms op(e3, e0) = all_0_71_71, op(e3, e0) = unit, yields: % 19.50/5.05 | (662) all_0_71_71 = unit % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e0, e3, unit, all_0_80_80 and discharging atoms op(e0, e3) = all_0_80_80, op(e0, e3) = unit, yields: % 19.50/5.05 | (664) all_0_80_80 = unit % 19.50/5.05 | % 19.50/5.05 | Equations (662) can reduce 110 to: % 19.50/5.05 | (736) ~ (all_0_79_79 = unit) % 19.50/5.05 | % 19.50/5.05 | Simplifying 736 yields: % 19.50/5.05 | (737) ~ (all_0_79_79 = unit) % 19.50/5.05 | % 19.50/5.05 | Equations (664) can reduce 244 to: % 19.50/5.05 | (2164) ~ (all_0_81_81 = unit) % 19.50/5.05 | % 19.50/5.05 | Simplifying 2164 yields: % 19.50/5.05 | (2165) ~ (all_0_81_81 = unit) % 19.50/5.05 | % 19.50/5.05 | Equations (664) can reduce 405 to: % 19.50/5.05 | (667) ~ (unit = e2) % 19.50/5.05 | % 19.50/5.05 | Equations (664) can reduce 419 to: % 19.50/5.05 | (318) ~ (unit = e1) % 19.50/5.05 | % 19.50/5.05 | From (662) and (3094) follows: % 19.50/5.05 | (3154) op(e3, unit) = all_0_81_81 % 19.50/5.05 | % 19.50/5.05 | From (664) and (84) follows: % 19.50/5.05 | (3155) op(e3, unit) = all_0_16_16 % 19.50/5.05 | % 19.50/5.05 | From (662) and (92) follows: % 19.50/5.05 | (3156) op(e0, unit) = all_0_55_55 % 19.50/5.05 | % 19.50/5.05 | From (664) and (3097) follows: % 19.50/5.05 | (3157) op(e0, unit) = all_0_72_72 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e3, unit, all_0_16_16, e3 and discharging atoms op(e3, unit) = all_0_16_16, op(e3, unit) = e3, yields: % 19.50/5.05 | (3158) all_0_16_16 = e3 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e3, unit, all_0_81_81, all_0_16_16 and discharging atoms op(e3, unit) = all_0_16_16, op(e3, unit) = all_0_81_81, yields: % 19.50/5.05 | (3159) all_0_16_16 = all_0_81_81 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e0, unit, all_0_55_55, e0 and discharging atoms op(e0, unit) = all_0_55_55, op(e0, unit) = e0, yields: % 19.50/5.05 | (3160) all_0_55_55 = e0 % 19.50/5.05 | % 19.50/5.05 | Instantiating formula (218) with e0, unit, all_0_72_72, all_0_55_55 and discharging atoms op(e0, unit) = all_0_55_55, op(e0, unit) = all_0_72_72, yields: % 19.50/5.05 | (3161) all_0_55_55 = all_0_72_72 % 19.50/5.05 | % 19.50/5.05 | Combining equations (3158,3159) yields a new equation: % 19.50/5.05 | (399) all_0_81_81 = e3 % 19.50/5.05 | % 19.50/5.05 | Combining equations (3160,3161) yields a new equation: % 19.50/5.05 | (433) all_0_72_72 = e0 % 19.50/5.05 | % 19.50/5.05 | Equations (433) can reduce 3087 to: % 19.50/5.05 | (3164) ~ (all_0_77_77 = e0) % 19.50/5.05 | % 19.50/5.05 | Simplifying 3164 yields: % 19.50/5.05 | (350) ~ (all_0_77_77 = e0) % 19.50/5.05 | % 19.50/5.05 | Equations (399) can reduce 11 to: % 19.50/5.05 | (365) ~ (all_0_77_77 = e3) % 19.50/5.05 | % 19.50/5.05 | Equations (399) can reduce 3091 to: % 19.50/5.05 | (291) ~ (all_0_79_79 = e3) % 19.50/5.05 | % 19.50/5.05 | Equations (399) can reduce 2165 to: % 19.50/5.05 | (2243) ~ (unit = e3) % 19.50/5.05 | % 19.50/5.05 | Simplifying 2243 yields: % 19.50/5.05 | (666) ~ (unit = e3) % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (125), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (672) unit = e3 % 19.50/5.05 | % 19.50/5.05 | Equations (672) can reduce 666 to: % 19.50/5.05 | (326) $false % 19.50/5.05 | % 19.50/5.05 |-The branch is then unsatisfiable % 19.50/5.05 |-Branch two: % 19.50/5.05 | (666) ~ (unit = e3) % 19.50/5.05 | (794) unit = e2 | unit = e1 | unit = e0 % 19.50/5.05 | % 19.50/5.05 +-Applying beta-rule and splitting (238), into two cases. % 19.50/5.05 |-Branch one: % 19.50/5.05 | (406) all_0_80_80 = e3 % 19.50/5.05 | % 19.50/5.05 | Combining equations (664,406) yields a new equation: % 19.50/5.05 | (671) unit = e3 % 19.50/5.05 | % 19.50/5.05 | Simplifying 671 yields: % 19.50/5.05 | (672) unit = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (672) can reduce 666 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (383) ~ (all_0_80_80 = e3) % 19.50/5.06 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 19.50/5.06 | % 19.50/5.06 | Equations (664) can reduce 383 to: % 19.50/5.06 | (666) ~ (unit = e3) % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (237), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (384) all_0_77_77 = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (384) can reduce 365 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (365) ~ (all_0_77_77 = e3) % 19.50/5.06 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (409), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (414) all_0_80_80 = e2 % 19.50/5.06 | % 19.50/5.06 | Combining equations (664,414) yields a new equation: % 19.50/5.06 | (678) unit = e2 % 19.50/5.06 | % 19.50/5.06 | Simplifying 678 yields: % 19.50/5.06 | (679) unit = e2 % 19.50/5.06 | % 19.50/5.06 | Equations (679) can reduce 667 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (405) ~ (all_0_80_80 = e2) % 19.50/5.06 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 19.50/5.06 | % 19.50/5.06 | Equations (664) can reduce 405 to: % 19.50/5.06 | (667) ~ (unit = e2) % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (794), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (679) unit = e2 % 19.50/5.06 | % 19.50/5.06 | Equations (679) can reduce 667 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (667) ~ (unit = e2) % 19.50/5.06 | (825) unit = e1 | unit = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (282), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (870) all_0_74_74 = e3 % 19.50/5.06 | % 19.50/5.06 | Combining equations (3076,870) yields a new equation: % 19.50/5.06 | (3197) all_0_77_77 = e3 % 19.50/5.06 | % 19.50/5.06 | Simplifying 3197 yields: % 19.50/5.06 | (384) all_0_77_77 = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (384) can reduce 365 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (738) ~ (all_0_74_74 = e3) % 19.50/5.06 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (875), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (1356) all_0_74_74 = e2 % 19.50/5.06 | % 19.50/5.06 | Combining equations (3076,1356) yields a new equation: % 19.50/5.06 | (3203) all_0_77_77 = e2 % 19.50/5.06 | % 19.50/5.06 | Simplifying 3203 yields: % 19.50/5.06 | (388) all_0_77_77 = e2 % 19.50/5.06 | % 19.50/5.06 | Equations (388) can reduce 446 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (1378) ~ (all_0_74_74 = e2) % 19.50/5.06 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (1379), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (1380) all_0_74_74 = e1 % 19.50/5.06 | % 19.50/5.06 | Combining equations (3076,1380) yields a new equation: % 19.50/5.06 | (3209) all_0_77_77 = e1 % 19.50/5.06 | % 19.50/5.06 | Simplifying 3209 yields: % 19.50/5.06 | (448) all_0_77_77 = e1 % 19.50/5.06 | % 19.50/5.06 | Equations (448) can reduce 5 to: % 19.50/5.06 | (3211) ~ (all_0_79_79 = e1) % 19.50/5.06 | % 19.50/5.06 | Simplifying 3211 yields: % 19.50/5.06 | (464) ~ (all_0_79_79 = e1) % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (239), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (367) all_0_79_79 = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (367) can reduce 291 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (291) ~ (all_0_79_79 = e3) % 19.50/5.06 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (48), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (529) all_0_71_71 = e3 % 19.50/5.06 | % 19.50/5.06 | Combining equations (662,529) yields a new equation: % 19.50/5.06 | (671) unit = e3 % 19.50/5.06 | % 19.50/5.06 | Simplifying 671 yields: % 19.50/5.06 | (672) unit = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (672) can reduce 666 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (613) ~ (all_0_71_71 = e3) % 19.50/5.06 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (370), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (371) all_0_79_79 = e2 % 19.50/5.06 | % 19.50/5.06 | Equations (371) can reduce 297 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (297) ~ (all_0_79_79 = e2) % 19.50/5.06 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (374), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (375) all_0_79_79 = e1 % 19.50/5.06 | % 19.50/5.06 | Equations (375) can reduce 464 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (464) ~ (all_0_79_79 = e1) % 19.50/5.06 | (465) all_0_79_79 = e0 % 19.50/5.06 | % 19.50/5.06 | Equations (465) can reduce 737 to: % 19.50/5.06 | (768) ~ (unit = e0) % 19.50/5.06 | % 19.50/5.06 | Simplifying 768 yields: % 19.50/5.06 | (769) ~ (unit = e0) % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (614), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (615) all_0_71_71 = e2 % 19.50/5.06 | % 19.50/5.06 | Combining equations (662,615) yields a new equation: % 19.50/5.06 | (678) unit = e2 % 19.50/5.06 | % 19.50/5.06 | Simplifying 678 yields: % 19.50/5.06 | (679) unit = e2 % 19.50/5.06 | % 19.50/5.06 | Equations (679) can reduce 667 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (509) ~ (all_0_71_71 = e2) % 19.50/5.06 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 19.50/5.06 | % 19.50/5.06 +-Applying beta-rule and splitting (618), into two cases. % 19.50/5.06 |-Branch one: % 19.50/5.06 | (619) all_0_71_71 = e1 % 19.50/5.06 | % 19.50/5.06 | Combining equations (662,619) yields a new equation: % 19.50/5.06 | (1115) unit = e1 % 19.50/5.06 | % 19.50/5.06 | Simplifying 1115 yields: % 19.50/5.06 | (338) unit = e1 % 19.50/5.06 | % 19.50/5.06 | Equations (338) can reduce 318 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (294) ~ (all_0_71_71 = e1) % 19.50/5.06 | (622) all_0_71_71 = e0 % 19.50/5.06 | % 19.50/5.06 | Combining equations (662,622) yields a new equation: % 19.50/5.06 | (1123) unit = e0 % 19.50/5.06 | % 19.50/5.06 | Simplifying 1123 yields: % 19.50/5.06 | (345) unit = e0 % 19.50/5.06 | % 19.50/5.06 | Equations (345) can reduce 769 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (1315) ~ (all_0_74_74 = e1) % 19.50/5.06 | (1383) all_0_74_74 = e0 % 19.50/5.06 | % 19.50/5.06 | Combining equations (3076,1383) yields a new equation: % 19.50/5.06 | (1682) all_0_77_77 = e0 % 19.50/5.06 | % 19.50/5.06 | Simplifying 1682 yields: % 19.50/5.06 | (451) all_0_77_77 = e0 % 19.50/5.06 | % 19.50/5.06 | Equations (451) can reduce 350 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (636) all_0_0_0 = e2 % 19.50/5.06 | (1033) all_0_1_1 = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (636,1033) can reduce 12 to: % 19.50/5.06 | (1553) ~ (e3 = e2) % 19.50/5.06 | % 19.50/5.06 | Simplifying 1553 yields: % 19.50/5.06 | (129) ~ (e3 = e2) % 19.50/5.06 | % 19.50/5.06 | From (1033) and (234) follows: % 19.50/5.06 | (1046) op(e2, e3) = unit % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e2, e3, unit, all_0_72_72 and discharging atoms op(e2, e3) = all_0_72_72, op(e2, e3) = unit, yields: % 19.50/5.06 | (1048) all_0_72_72 = unit % 19.50/5.06 | % 19.50/5.06 | From (1048) and (3092) follows: % 19.50/5.06 | (3259) op(e3, unit) = e2 % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e3, unit, e2, e3 and discharging atoms op(e3, unit) = e3, op(e3, unit) = e2, yields: % 19.50/5.06 | (1223) e3 = e2 % 19.50/5.06 | % 19.50/5.06 | Equations (1223) can reduce 129 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (640) all_0_0_0 = e1 % 19.50/5.06 | (652) all_0_2_2 = e3 % 19.50/5.06 | % 19.50/5.06 | Equations (652) can reduce 649 to: % 19.50/5.06 | (326) $false % 19.50/5.06 | % 19.50/5.06 |-The branch is then unsatisfiable % 19.50/5.06 |-Branch two: % 19.50/5.06 | (652) all_0_2_2 = e3 % 19.50/5.06 | (640) all_0_0_0 = e1 % 19.50/5.06 | % 19.50/5.06 | From (640) and (248) follows: % 19.50/5.06 | (1277) op(e3, e1) = unit % 19.50/5.06 | % 19.50/5.06 | From (652) and (174) follows: % 19.50/5.06 | (1278) op(e1, e3) = unit % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e3, e1, unit, all_0_70_70 and discharging atoms op(e3, e1) = all_0_70_70, op(e3, e1) = unit, yields: % 19.50/5.06 | (1279) all_0_70_70 = unit % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e1, e3, unit, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = unit, yields: % 19.50/5.06 | (1280) all_0_76_76 = unit % 19.50/5.06 | % 19.50/5.06 | Equations (1280) can reduce 267 to: % 19.50/5.06 | (312) ~ (all_0_72_72 = unit) % 19.50/5.06 | % 19.50/5.06 | Equations (1280) can reduce 228 to: % 19.50/5.06 | (1287) ~ (all_0_77_77 = unit) % 19.50/5.06 | % 19.50/5.06 | Simplifying 1287 yields: % 19.50/5.06 | (1288) ~ (all_0_77_77 = unit) % 19.50/5.06 | % 19.50/5.06 | Equations (1280) can reduce 357 to: % 19.50/5.06 | (667) ~ (unit = e2) % 19.50/5.06 | % 19.50/5.06 | Equations (1280) can reduce 349 to: % 19.50/5.06 | (769) ~ (unit = e0) % 19.50/5.06 | % 19.50/5.06 | From (1279) and (3093) follows: % 19.50/5.06 | (3276) op(e3, unit) = all_0_77_77 % 19.50/5.06 | % 19.50/5.06 | From (1280) and (132) follows: % 19.50/5.06 | (3277) op(e3, unit) = all_0_12_12 % 19.50/5.06 | % 19.50/5.06 | From (1279) and (102) follows: % 19.50/5.06 | (3278) op(e1, unit) = all_0_38_38 % 19.50/5.06 | % 19.50/5.06 | From (1280) and (3096) follows: % 19.50/5.06 | (3279) op(e1, unit) = all_0_72_72 % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e3, unit, all_0_12_12, e3 and discharging atoms op(e3, unit) = all_0_12_12, op(e3, unit) = e3, yields: % 19.50/5.06 | (3280) all_0_12_12 = e3 % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e3, unit, all_0_77_77, all_0_12_12 and discharging atoms op(e3, unit) = all_0_12_12, op(e3, unit) = all_0_77_77, yields: % 19.50/5.06 | (3281) all_0_12_12 = all_0_77_77 % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e1, unit, all_0_38_38, e1 and discharging atoms op(e1, unit) = all_0_38_38, op(e1, unit) = e1, yields: % 19.50/5.06 | (3282) all_0_38_38 = e1 % 19.50/5.06 | % 19.50/5.06 | Instantiating formula (218) with e1, unit, all_0_72_72, all_0_38_38 and discharging atoms op(e1, unit) = all_0_38_38, op(e1, unit) = all_0_72_72, yields: % 19.50/5.06 | (3283) all_0_38_38 = all_0_72_72 % 19.50/5.06 | % 19.50/5.07 | Combining equations (3280,3281) yields a new equation: % 19.50/5.07 | (384) all_0_77_77 = e3 % 19.50/5.07 | % 19.50/5.07 | Combining equations (3283,3282) yields a new equation: % 19.50/5.07 | (3285) all_0_72_72 = e1 % 19.50/5.07 | % 19.50/5.07 | Simplifying 3285 yields: % 19.50/5.07 | (430) all_0_72_72 = e1 % 19.50/5.07 | % 19.50/5.07 | Equations (430) can reduce 312 to: % 19.50/5.07 | (789) ~ (unit = e1) % 19.50/5.07 | % 19.50/5.07 | Simplifying 789 yields: % 19.50/5.07 | (318) ~ (unit = e1) % 19.50/5.07 | % 19.50/5.07 | Equations (384) can reduce 1288 to: % 19.50/5.07 | (2243) ~ (unit = e3) % 19.50/5.07 | % 19.50/5.07 | Simplifying 2243 yields: % 19.50/5.07 | (666) ~ (unit = e3) % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (125), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (672) unit = e3 % 19.50/5.07 | % 19.50/5.07 | Equations (672) can reduce 666 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (666) ~ (unit = e3) % 19.50/5.07 | (794) unit = e2 | unit = e1 | unit = e0 % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (794), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (679) unit = e2 % 19.50/5.07 | % 19.50/5.07 | Equations (679) can reduce 667 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (667) ~ (unit = e2) % 19.50/5.07 | (825) unit = e1 | unit = e0 % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (825), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (338) unit = e1 % 19.50/5.07 | % 19.50/5.07 | Equations (338) can reduce 318 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (318) ~ (unit = e1) % 19.50/5.07 | (345) unit = e0 % 19.50/5.07 | % 19.50/5.07 | Equations (345) can reduce 769 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.50/5.07 | % 19.50/5.07 | Applying alpha-rule on (333) yields: % 19.50/5.07 | (334) all_0_68_68 = e1 % 19.50/5.07 | (335) all_0_73_73 = e1 % 19.50/5.07 | (336) all_0_78_78 = e1 % 19.50/5.07 | (337) all_0_83_83 = e1 % 19.50/5.07 | % 19.50/5.07 | Combining equations (330,336) yields a new equation: % 19.50/5.07 | (493) e2 = e1 % 19.50/5.07 | % 19.50/5.07 | Simplifying 493 yields: % 19.50/5.07 | (494) e2 = e1 % 19.50/5.07 | % 19.50/5.07 | Equations (494) can reduce 15 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.50/5.07 | % 19.50/5.07 | Applying alpha-rule on (340) yields: % 19.50/5.07 | (341) all_0_68_68 = e0 % 19.50/5.07 | (342) all_0_73_73 = e0 % 19.50/5.07 | (343) all_0_78_78 = e0 % 19.50/5.07 | (344) all_0_83_83 = e0 % 19.50/5.07 | % 19.50/5.07 | Combining equations (330,343) yields a new equation: % 19.50/5.07 | (1226) e2 = e0 % 19.50/5.07 | % 19.50/5.07 | Simplifying 1226 yields: % 19.50/5.07 | (1227) e2 = e0 % 19.50/5.07 | % 19.50/5.07 | Equations (1227) can reduce 262 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (619) all_0_71_71 = e1 % 19.50/5.07 | (1552) ~ (all_0_83_83 = e2) % 19.50/5.07 | % 19.50/5.07 | Equations (619) can reduce 17 to: % 19.50/5.07 | (1171) ~ (all_0_70_70 = e1) % 19.50/5.07 | % 19.50/5.07 | Equations (619) can reduce 251 to: % 19.50/5.07 | (3323) ~ (all_0_75_75 = e1) % 19.50/5.07 | % 19.50/5.07 | Simplifying 3323 yields: % 19.50/5.07 | (859) ~ (all_0_75_75 = e1) % 19.50/5.07 | % 19.50/5.07 | Equations (619) can reduce 110 to: % 19.50/5.07 | (3211) ~ (all_0_79_79 = e1) % 19.50/5.07 | % 19.50/5.07 | Simplifying 3211 yields: % 19.50/5.07 | (464) ~ (all_0_79_79 = e1) % 19.50/5.07 | % 19.50/5.07 | Equations (619) can reduce 24 to: % 19.50/5.07 | (3327) ~ (all_0_83_83 = e1) % 19.50/5.07 | % 19.50/5.07 | Simplifying 3327 yields: % 19.50/5.07 | (625) ~ (all_0_83_83 = e1) % 19.50/5.07 | % 19.50/5.07 | From (619) and (280) follows: % 19.50/5.07 | (3329) op(e3, e1) = all_0_7_7 % 19.50/5.07 | % 19.50/5.07 | From (619) and (92) follows: % 19.50/5.07 | (3330) op(e0, e1) = all_0_55_55 % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (270), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (319), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (320), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.50/5.07 | % 19.50/5.07 | Applying alpha-rule on (321) yields: % 19.50/5.07 | (322) all_0_68_68 = e3 % 19.50/5.07 | (323) all_0_73_73 = e3 % 19.50/5.07 | (324) all_0_78_78 = e3 % 19.50/5.07 | (325) all_0_83_83 = e3 % 19.50/5.07 | % 19.50/5.07 | Equations (324) can reduce 293 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.50/5.07 | % 19.50/5.07 | Applying alpha-rule on (327) yields: % 19.50/5.07 | (328) all_0_68_68 = e2 % 19.50/5.07 | (329) all_0_73_73 = e2 % 19.50/5.07 | (330) all_0_78_78 = e2 % 19.50/5.07 | (331) all_0_83_83 = e2 % 19.50/5.07 | % 19.50/5.07 | Equations (331) can reduce 1552 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.50/5.07 | % 19.50/5.07 | Applying alpha-rule on (333) yields: % 19.50/5.07 | (334) all_0_68_68 = e1 % 19.50/5.07 | (335) all_0_73_73 = e1 % 19.50/5.07 | (336) all_0_78_78 = e1 % 19.50/5.07 | (337) all_0_83_83 = e1 % 19.50/5.07 | % 19.50/5.07 | Equations (337) can reduce 625 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.50/5.07 | % 19.50/5.07 | Applying alpha-rule on (340) yields: % 19.50/5.07 | (341) all_0_68_68 = e0 % 19.50/5.07 | (342) all_0_73_73 = e0 % 19.50/5.07 | (343) all_0_78_78 = e0 % 19.50/5.07 | (344) all_0_83_83 = e0 % 19.50/5.07 | % 19.50/5.07 | Equations (342) can reduce 220 to: % 19.50/5.07 | (298) ~ (all_0_69_69 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (343) can reduce 19 to: % 19.50/5.07 | (1187) ~ (all_0_70_70 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (342) can reduce 106 to: % 19.50/5.07 | (348) ~ (all_0_72_72 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (343) can reduce 271 to: % 19.50/5.07 | (292) ~ (all_0_74_74 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (344) can reduce 196 to: % 19.50/5.07 | (999) ~ (all_0_75_75 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (343) can reduce 109 to: % 19.50/5.07 | (349) ~ (all_0_76_76 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (343) can reduce 219 to: % 19.50/5.07 | (350) ~ (all_0_77_77 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (344) can reduce 250 to: % 19.50/5.07 | (351) ~ (all_0_79_79 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (344) can reduce 77 to: % 19.50/5.07 | (352) ~ (all_0_80_80 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (344) can reduce 6 to: % 19.50/5.07 | (353) ~ (all_0_81_81 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (344) can reduce 42 to: % 19.50/5.07 | (1368) ~ (all_0_82_82 = e0) % 19.50/5.07 | % 19.50/5.07 | From (341) and (255) follows: % 19.50/5.07 | (3367) op(e0, e3) = all_0_4_4 % 19.50/5.07 | % 19.50/5.07 | From (341) and (128) follows: % 19.50/5.07 | (3368) op(e0, e2) = all_0_5_5 % 19.50/5.07 | % 19.50/5.07 | From (341) and (147) follows: % 19.50/5.07 | (3369) op(e0, e1) = all_0_6_6 % 19.50/5.07 | % 19.50/5.07 | From (342) and (208) follows: % 19.50/5.07 | (3370) op(e0, e3) = all_0_24_24 % 19.50/5.07 | % 19.50/5.07 | From (342) and (22) follows: % 19.50/5.07 | (3371) op(e0, e1) = all_0_26_26 % 19.50/5.07 | % 19.50/5.07 | From (343) and (85) follows: % 19.50/5.07 | (3372) op(e0, e3) = all_0_44_44 % 19.50/5.07 | % 19.50/5.07 | From (343) and (25) follows: % 19.50/5.07 | (3373) op(e0, e2) = all_0_45_45 % 19.50/5.07 | % 19.50/5.07 | From (344) and (274) follows: % 19.50/5.07 | (3374) op(e0, e1) = all_0_66_66 % 19.50/5.07 | % 19.50/5.07 | From (341) and (281) follows: % 19.50/5.07 | (3375) op(e3, e0) = all_0_4_4 % 19.50/5.07 | % 19.50/5.07 | From (342) and (235) follows: % 19.50/5.07 | (3376) op(e3, e0) = all_0_9_9 % 19.50/5.07 | % 19.50/5.07 | From (344) and (16) follows: % 19.50/5.07 | (3377) op(e3, e0) = all_0_19_19 % 19.50/5.07 | % 19.50/5.07 | From (342) and (207) follows: % 19.50/5.07 | (3378) op(e1, e0) = all_0_41_41 % 19.50/5.07 | % 19.50/5.07 | From (343) and (3) follows: % 19.50/5.07 | (3379) op(e1, e0) = all_0_46_46 % 19.50/5.07 | % 19.50/5.07 | From (344) and (91) follows: % 19.50/5.07 | (3380) op(e1, e0) = all_0_51_51 % 19.50/5.07 | % 19.50/5.07 | From (342) and (140) follows: % 19.50/5.07 | (3381) op(e0, e0) = all_0_57_57 % 19.50/5.07 | % 19.50/5.07 | From (343) and (197) follows: % 19.50/5.07 | (3382) op(e0, e0) = all_0_62_62 % 19.50/5.07 | % 19.50/5.07 | From (344) and (272) follows: % 19.50/5.07 | (3383) op(e0, e0) = all_0_67_67 % 19.50/5.07 | % 19.50/5.07 | From (344) and (215) follows: % 19.50/5.07 | (3384) op(e0, e0) = e0 % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (229), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (362) ~ (all_0_73_73 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (342) can reduce 362 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (342) all_0_73_73 = e0 % 19.50/5.07 | (365) ~ (all_0_77_77 = e3) % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (203), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (354) ~ (all_0_68_68 = e0) % 19.50/5.07 | % 19.50/5.07 | Equations (341) can reduce 354 to: % 19.50/5.07 | (326) $false % 19.50/5.07 | % 19.50/5.07 |-The branch is then unsatisfiable % 19.50/5.07 |-Branch two: % 19.50/5.07 | (341) all_0_68_68 = e0 % 19.50/5.07 | (361) ~ (all_0_72_72 = e1) % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (93), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (296) ~ (all_0_70_70 = e2) % 19.50/5.07 | % 19.50/5.07 +-Applying beta-rule and splitting (35), into two cases. % 19.50/5.07 |-Branch one: % 19.50/5.07 | (1188) all_0_70_70 = e3 % 19.50/5.07 | % 19.50/5.07 | Equations (1188) can reduce 152 to: % 19.50/5.07 | (435) ~ (all_0_69_69 = e3) % 19.50/5.07 | % 19.50/5.07 | Equations (1188) can reduce 265 to: % 19.50/5.07 | (2266) ~ (all_0_82_82 = e3) % 19.50/5.07 | % 19.50/5.07 | Simplifying 2266 yields: % 19.50/5.07 | (1143) ~ (all_0_82_82 = e3) % 19.50/5.07 | % 19.50/5.07 | From (1188) and (46) follows: % 19.50/5.07 | (3398) op(e3, e1) = all_0_14_14 % 19.50/5.07 | % 19.50/5.07 | From (1188) and (41) follows: % 19.50/5.07 | (3399) op(e3, e0) = all_0_15_15 % 19.50/5.07 | % 19.50/5.07 | From (1188) and (162) follows: % 19.50/5.08 | (3400) op(e3, e1) = e3 % 19.50/5.08 | % 19.50/5.08 | From (1188) and (184) follows: % 19.50/5.08 | (3401) op(e0, e3) = all_0_54_54 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (239), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (367) all_0_79_79 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (367) can reduce 291 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (291) ~ (all_0_79_79 = e3) % 19.50/5.08 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (370), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (371) all_0_79_79 = e2 % 19.50/5.08 | % 19.50/5.08 | Equations (371) can reduce 221 to: % 19.50/5.08 | (881) ~ (all_0_75_75 = e2) % 19.50/5.08 | % 19.50/5.08 | Equations (371) can reduce 264 to: % 19.50/5.08 | (357) ~ (all_0_76_76 = e2) % 19.50/5.08 | % 19.50/5.08 | Equations (371) can reduce 5 to: % 19.50/5.08 | (446) ~ (all_0_77_77 = e2) % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (253), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (883) all_0_75_75 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (883) can reduce 173 to: % 19.50/5.08 | (738) ~ (all_0_74_74 = e3) % 19.50/5.08 | % 19.50/5.08 | From (883) and (120) follows: % 19.50/5.08 | (3412) op(e3, e1) = all_0_34_34 % 19.50/5.08 | % 19.50/5.08 | From (883) and (36) follows: % 19.50/5.08 | (3413) op(e1, e3) = all_0_43_43 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (237), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (384) all_0_77_77 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (384) can reduce 365 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (365) ~ (all_0_77_77 = e3) % 19.50/5.08 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (387), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (388) all_0_77_77 = e2 % 19.50/5.08 | % 19.50/5.08 | Equations (388) can reduce 446 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (446) ~ (all_0_77_77 = e2) % 19.50/5.08 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (447), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (448) all_0_77_77 = e1 % 19.50/5.08 | % 19.50/5.08 | Equations (448) can reduce 225 to: % 19.50/5.08 | (366) ~ (all_0_69_69 = e1) % 19.50/5.08 | % 19.50/5.08 | Equations (448) can reduce 228 to: % 19.50/5.08 | (376) ~ (all_0_76_76 = e1) % 19.50/5.08 | % 19.50/5.08 | Equations (448) can reduce 11 to: % 19.50/5.08 | (2235) ~ (all_0_81_81 = e1) % 19.50/5.08 | % 19.50/5.08 | Simplifying 2235 yields: % 19.50/5.08 | (425) ~ (all_0_81_81 = e1) % 19.50/5.08 | % 19.50/5.08 | From (448) and (222) follows: % 19.50/5.08 | (3003) op(e1, e2) = all_0_41_41 % 19.50/5.08 | % 19.50/5.08 | From (448) and (198) follows: % 19.50/5.08 | (2442) op(e1, e0) = all_0_43_43 % 19.50/5.08 | % 19.50/5.08 | From (448) and (51) follows: % 19.50/5.08 | (3429) op(e3, e1) = all_0_13_13 % 19.50/5.08 | % 19.50/5.08 | From (448) and (185) follows: % 19.50/5.08 | (3430) op(e1, e1) = all_0_45_45 % 19.50/5.08 | % 19.50/5.08 | From (448) and (276) follows: % 19.50/5.08 | (3431) op(e0, e1) = all_0_61_61 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (112), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (378) all_0_76_76 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (378) can reduce 267 to: % 19.50/5.08 | (379) ~ (all_0_72_72 = e3) % 19.50/5.08 | % 19.50/5.08 | From (378) and (165) follows: % 19.50/5.08 | (3434) op(e3, e2) = all_0_37_37 % 19.50/5.08 | % 19.50/5.08 | From (378) and (191) follows: % 19.50/5.08 | (3435) op(e3, e1) = all_0_38_38 % 19.50/5.08 | % 19.50/5.08 | From (378) and (8) follows: % 19.50/5.08 | (3436) op(e1, e3) = all_0_44_44 % 19.50/5.08 | % 19.50/5.08 | From (378) and (183) follows: % 19.50/5.08 | (3437) op(e0, e3) = all_0_60_60 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (101), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (396) all_0_69_69 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (396) can reduce 435 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (435) ~ (all_0_69_69 = e3) % 19.50/5.08 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (86), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (392) all_0_72_72 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (392) can reduce 379 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (379) ~ (all_0_72_72 = e3) % 19.50/5.08 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (395), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (403) all_0_72_72 = e2 % 19.50/5.08 | % 19.50/5.08 | Equations (403) can reduce 166 to: % 19.50/5.08 | (2776) ~ (all_0_74_74 = e2) % 19.50/5.08 | % 19.50/5.08 | Simplifying 2776 yields: % 19.50/5.08 | (1378) ~ (all_0_74_74 = e2) % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (282), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (870) all_0_74_74 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (870) can reduce 738 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (738) ~ (all_0_74_74 = e3) % 19.50/5.08 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (436), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (437) all_0_69_69 = e2 % 19.50/5.08 | % 19.50/5.08 | From (437) and (103) follows: % 19.50/5.08 | (3454) op(e3, e2) = all_0_5_5 % 19.50/5.08 | % 19.50/5.08 | From (437) and (261) follows: % 19.50/5.08 | (3455) op(e1, e2) = all_0_37_37 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (875), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (1356) all_0_74_74 = e2 % 19.50/5.08 | % 19.50/5.08 | Equations (1356) can reduce 1378 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (1378) ~ (all_0_74_74 = e2) % 19.50/5.08 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (1379), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (1380) all_0_74_74 = e1 % 19.50/5.08 | % 19.50/5.08 | Equations (1380) can reduce 133 to: % 19.50/5.08 | (2262) ~ (all_0_82_82 = e1) % 19.50/5.08 | % 19.50/5.08 | Simplifying 2262 yields: % 19.50/5.08 | (1320) ~ (all_0_82_82 = e1) % 19.50/5.08 | % 19.50/5.08 | From (1380) and (268) follows: % 19.50/5.08 | (3463) op(e1, e0) = all_0_31_31 % 19.50/5.08 | % 19.50/5.08 | From (1380) and (137) follows: % 19.50/5.08 | (3464) op(e3, e1) = all_0_10_10 % 19.50/5.08 | % 19.50/5.08 | From (1380) and (52) follows: % 19.50/5.08 | (2493) op(e0, e1) = all_0_58_58 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (123), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (1140) all_0_82_82 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (1140) can reduce 1143 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (1143) ~ (all_0_82_82 = e3) % 19.50/5.08 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (1144), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (1369) all_0_82_82 = e2 % 19.50/5.08 | % 19.50/5.08 | Equations (1369) can reduce 95 to: % 19.50/5.08 | (405) ~ (all_0_80_80 = e2) % 19.50/5.08 | % 19.50/5.08 | Equations (1369) can reduce 227 to: % 19.50/5.08 | (391) ~ (all_0_81_81 = e2) % 19.50/5.08 | % 19.50/5.08 | From (1369) and (23) follows: % 19.50/5.08 | (2511) op(e0, e1) = e2 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (139), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (399) all_0_81_81 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (399) can reduce 244 to: % 19.50/5.08 | (383) ~ (all_0_80_80 = e3) % 19.50/5.08 | % 19.50/5.08 | From (399) and (189) follows: % 19.50/5.08 | (3476) op(e3, e2) = all_0_57_57 % 19.50/5.08 | % 19.50/5.08 | From (399) and (116) follows: % 19.50/5.08 | (3477) op(e3, e1) = all_0_58_58 % 19.50/5.08 | % 19.50/5.08 | From (399) and (18) follows: % 19.50/5.08 | (3478) op(e3, e0) = all_0_59_59 % 19.50/5.08 | % 19.50/5.08 | From (399) and (142) follows: % 19.50/5.08 | (3479) op(e0, e3) = all_0_65_65 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (238), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (406) all_0_80_80 = e3 % 19.50/5.08 | % 19.50/5.08 | Equations (406) can reduce 383 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (383) ~ (all_0_80_80 = e3) % 19.50/5.08 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (409), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (414) all_0_80_80 = e2 % 19.50/5.08 | % 19.50/5.08 | Equations (414) can reduce 405 to: % 19.50/5.08 | (326) $false % 19.50/5.08 | % 19.50/5.08 |-The branch is then unsatisfiable % 19.50/5.08 |-Branch two: % 19.50/5.08 | (405) ~ (all_0_80_80 = e2) % 19.50/5.08 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 19.50/5.08 | % 19.50/5.08 +-Applying beta-rule and splitting (417), into two cases. % 19.50/5.08 |-Branch one: % 19.50/5.08 | (420) all_0_80_80 = e1 % 19.50/5.08 | % 19.50/5.08 | Equations (420) can reduce 352 to: % 19.50/5.08 | (71) ~ (e1 = e0) % 19.50/5.08 | % 19.50/5.08 | From (420) and (104) follows: % 19.50/5.08 | (3490) op(e1, e2) = all_0_53_53 % 19.50/5.08 | % 19.50/5.08 | From (420) and (180) follows: % 19.50/5.08 | (3491) op(e1, e1) = all_0_54_54 % 19.50/5.08 | % 19.50/5.08 | From (420) and (205) follows: % 19.50/5.08 | (3492) op(e1, e0) = all_0_55_55 % 19.50/5.08 | % 19.50/5.08 | From (420) and (84) follows: % 19.50/5.08 | (3493) op(e3, e1) = all_0_16_16 % 19.50/5.08 | % 19.50/5.08 | From (420) and (82) follows: % 19.50/5.08 | (3494) op(e0, e1) = all_0_64_64 % 19.50/5.08 | % 19.50/5.08 | From (420) and (168) follows: % 19.50/5.08 | (3495) op(e0, e3) = e1 % 19.50/5.08 | % 19.50/5.08 | Instantiating formula (218) with e3, e2, all_0_37_37, all_0_5_5 and discharging atoms op(e3, e2) = all_0_5_5, op(e3, e2) = all_0_37_37, yields: % 19.50/5.08 | (3496) all_0_5_5 = all_0_37_37 % 19.50/5.08 | % 19.50/5.08 | Instantiating formula (218) with e3, e2, all_0_57_57, all_0_5_5 and discharging atoms op(e3, e2) = all_0_5_5, op(e3, e2) = all_0_57_57, yields: % 19.50/5.08 | (3497) all_0_5_5 = all_0_57_57 % 19.50/5.08 | % 19.50/5.08 | Instantiating formula (218) with e3, e1, all_0_10_10, all_0_7_7 and discharging atoms op(e3, e1) = all_0_7_7, op(e3, e1) = all_0_10_10, yields: % 19.50/5.08 | (3498) all_0_7_7 = all_0_10_10 % 19.50/5.08 | % 19.50/5.08 | Instantiating formula (218) with e3, e1, all_0_13_13, all_0_10_10 and discharging atoms op(e3, e1) = all_0_10_10, op(e3, e1) = all_0_13_13, yields: % 19.50/5.08 | (3499) all_0_10_10 = all_0_13_13 % 19.50/5.08 | % 19.50/5.08 | Instantiating formula (218) with e3, e1, all_0_14_14, all_0_13_13 and discharging atoms op(e3, e1) = all_0_13_13, op(e3, e1) = all_0_14_14, yields: % 19.50/5.09 | (3500) all_0_13_13 = all_0_14_14 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e1, all_0_16_16, all_0_7_7 and discharging atoms op(e3, e1) = all_0_7_7, op(e3, e1) = all_0_16_16, yields: % 19.50/5.09 | (3501) all_0_7_7 = all_0_16_16 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e1, all_0_34_34, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_34_34, yields: % 19.50/5.09 | (3502) all_0_14_14 = all_0_34_34 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e1, all_0_38_38, all_0_34_34 and discharging atoms op(e3, e1) = all_0_34_34, op(e3, e1) = all_0_38_38, yields: % 19.50/5.09 | (3503) all_0_34_34 = all_0_38_38 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e1, all_0_58_58, all_0_38_38 and discharging atoms op(e3, e1) = all_0_38_38, op(e3, e1) = all_0_58_58, yields: % 19.50/5.09 | (3504) all_0_38_38 = all_0_58_58 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e1, e3, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = e3, yields: % 19.50/5.09 | (3505) all_0_14_14 = e3 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e0, all_0_9_9, all_0_4_4 and discharging atoms op(e3, e0) = all_0_4_4, op(e3, e0) = all_0_9_9, yields: % 19.50/5.09 | (3506) all_0_4_4 = all_0_9_9 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e0, all_0_15_15, all_0_9_9 and discharging atoms op(e3, e0) = all_0_9_9, op(e3, e0) = all_0_15_15, yields: % 19.50/5.09 | (3507) all_0_9_9 = all_0_15_15 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e0, all_0_19_19, all_0_9_9 and discharging atoms op(e3, e0) = all_0_9_9, op(e3, e0) = all_0_19_19, yields: % 19.50/5.09 | (3018) all_0_9_9 = all_0_19_19 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e3, e0, all_0_59_59, all_0_19_19 and discharging atoms op(e3, e0) = all_0_19_19, op(e3, e0) = all_0_59_59, yields: % 19.50/5.09 | (3509) all_0_19_19 = all_0_59_59 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e3, all_0_44_44, all_0_43_43 and discharging atoms op(e1, e3) = all_0_43_43, op(e1, e3) = all_0_44_44, yields: % 19.50/5.09 | (3510) all_0_43_43 = all_0_44_44 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e2, all_0_41_41, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_41_41, yields: % 19.50/5.09 | (3511) all_0_37_37 = all_0_41_41 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e2, all_0_53_53, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_53_53, yields: % 19.50/5.09 | (3512) all_0_37_37 = all_0_53_53 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e1, all_0_54_54, all_0_45_45 and discharging atoms op(e1, e1) = all_0_45_45, op(e1, e1) = all_0_54_54, yields: % 19.50/5.09 | (3513) all_0_45_45 = all_0_54_54 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e0, all_0_43_43, all_0_31_31 and discharging atoms op(e1, e0) = all_0_31_31, op(e1, e0) = all_0_43_43, yields: % 19.50/5.09 | (3514) all_0_31_31 = all_0_43_43 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e0, all_0_43_43, all_0_41_41 and discharging atoms op(e1, e0) = all_0_41_41, op(e1, e0) = all_0_43_43, yields: % 19.50/5.09 | (3515) all_0_41_41 = all_0_43_43 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e0, all_0_46_46, all_0_31_31 and discharging atoms op(e1, e0) = all_0_31_31, op(e1, e0) = all_0_46_46, yields: % 19.50/5.09 | (3516) all_0_31_31 = all_0_46_46 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e0, all_0_51_51, all_0_41_41 and discharging atoms op(e1, e0) = all_0_41_41, op(e1, e0) = all_0_51_51, yields: % 19.50/5.09 | (3517) all_0_41_41 = all_0_51_51 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e1, e0, all_0_55_55, all_0_51_51 and discharging atoms op(e1, e0) = all_0_51_51, op(e1, e0) = all_0_55_55, yields: % 19.50/5.09 | (3518) all_0_51_51 = all_0_55_55 % 19.50/5.09 | % 19.50/5.09 | Instantiating formula (218) with e0, e3, all_0_24_24, all_0_4_4 and discharging atoms op(e0, e3) = all_0_4_4, op(e0, e3) = all_0_24_24, yields: % 19.75/5.09 | (3020) all_0_4_4 = all_0_24_24 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e3, all_0_44_44, all_0_4_4 and discharging atoms op(e0, e3) = all_0_4_4, op(e0, e3) = all_0_44_44, yields: % 19.75/5.09 | (3520) all_0_4_4 = all_0_44_44 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e3, all_0_60_60, all_0_54_54 and discharging atoms op(e0, e3) = all_0_54_54, op(e0, e3) = all_0_60_60, yields: % 19.75/5.09 | (3521) all_0_54_54 = all_0_60_60 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e3, all_0_65_65, all_0_60_60 and discharging atoms op(e0, e3) = all_0_60_60, op(e0, e3) = all_0_65_65, yields: % 19.75/5.09 | (3522) all_0_60_60 = all_0_65_65 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e3, e1, all_0_54_54 and discharging atoms op(e0, e3) = all_0_54_54, op(e0, e3) = e1, yields: % 19.75/5.09 | (3523) all_0_54_54 = e1 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e2, all_0_45_45, all_0_5_5 and discharging atoms op(e0, e2) = all_0_5_5, op(e0, e2) = all_0_45_45, yields: % 19.75/5.09 | (3524) all_0_5_5 = all_0_45_45 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, all_0_26_26, all_0_6_6 and discharging atoms op(e0, e1) = all_0_6_6, op(e0, e1) = all_0_26_26, yields: % 19.75/5.09 | (3025) all_0_6_6 = all_0_26_26 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, all_0_61_61, all_0_58_58 and discharging atoms op(e0, e1) = all_0_58_58, op(e0, e1) = all_0_61_61, yields: % 19.75/5.09 | (3526) all_0_58_58 = all_0_61_61 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, all_0_64_64, all_0_55_55 and discharging atoms op(e0, e1) = all_0_55_55, op(e0, e1) = all_0_64_64, yields: % 19.75/5.09 | (3527) all_0_55_55 = all_0_64_64 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, all_0_64_64, all_0_61_61 and discharging atoms op(e0, e1) = all_0_61_61, op(e0, e1) = all_0_64_64, yields: % 19.75/5.09 | (3528) all_0_61_61 = all_0_64_64 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, all_0_66_66, all_0_26_26 and discharging atoms op(e0, e1) = all_0_26_26, op(e0, e1) = all_0_66_66, yields: % 19.75/5.09 | (3044) all_0_26_26 = all_0_66_66 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, all_0_66_66, all_0_55_55 and discharging atoms op(e0, e1) = all_0_55_55, op(e0, e1) = all_0_66_66, yields: % 19.75/5.09 | (3530) all_0_55_55 = all_0_66_66 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e1, e2, all_0_6_6 and discharging atoms op(e0, e1) = all_0_6_6, op(e0, e1) = e2, yields: % 19.75/5.09 | (3531) all_0_6_6 = e2 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e0, all_0_62_62, all_0_57_57 and discharging atoms op(e0, e0) = all_0_57_57, op(e0, e0) = all_0_62_62, yields: % 19.75/5.09 | (3037) all_0_57_57 = all_0_62_62 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e0, all_0_67_67, all_0_57_57 and discharging atoms op(e0, e0) = all_0_57_57, op(e0, e0) = all_0_67_67, yields: % 19.75/5.09 | (2555) all_0_57_57 = all_0_67_67 % 19.75/5.09 | % 19.75/5.09 | Instantiating formula (218) with e0, e0, e0, all_0_67_67 and discharging atoms op(e0, e0) = all_0_67_67, op(e0, e0) = e0, yields: % 19.75/5.09 | (1679) all_0_67_67 = e0 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3520,3020) yields a new equation: % 19.75/5.09 | (3021) all_0_24_24 = all_0_44_44 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3506,3020) yields a new equation: % 19.75/5.09 | (3536) all_0_9_9 = all_0_24_24 % 19.75/5.09 | % 19.75/5.09 | Simplifying 3536 yields: % 19.75/5.09 | (3537) all_0_9_9 = all_0_24_24 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3496,3524) yields a new equation: % 19.75/5.09 | (3538) all_0_37_37 = all_0_45_45 % 19.75/5.09 | % 19.75/5.09 | Simplifying 3538 yields: % 19.75/5.09 | (3539) all_0_37_37 = all_0_45_45 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3497,3524) yields a new equation: % 19.75/5.09 | (3540) all_0_45_45 = all_0_57_57 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3025,3531) yields a new equation: % 19.75/5.09 | (3541) all_0_26_26 = e2 % 19.75/5.09 | % 19.75/5.09 | Simplifying 3541 yields: % 19.75/5.09 | (3542) all_0_26_26 = e2 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3498,3501) yields a new equation: % 19.75/5.09 | (3543) all_0_10_10 = all_0_16_16 % 19.75/5.09 | % 19.75/5.09 | Simplifying 3543 yields: % 19.75/5.09 | (3544) all_0_10_10 = all_0_16_16 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3537,3507) yields a new equation: % 19.75/5.09 | (3545) all_0_15_15 = all_0_24_24 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3018,3507) yields a new equation: % 19.75/5.09 | (3546) all_0_15_15 = all_0_19_19 % 19.75/5.09 | % 19.75/5.09 | Combining equations (3499,3544) yields a new equation: % 19.75/5.09 | (3547) all_0_13_13 = all_0_16_16 % 19.75/5.09 | % 19.75/5.09 | Simplifying 3547 yields: % 19.75/5.09 | (3548) all_0_13_13 = all_0_16_16 % 19.75/5.09 | % 19.75/5.10 | Combining equations (3500,3548) yields a new equation: % 19.75/5.10 | (3549) all_0_14_14 = all_0_16_16 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3549 yields: % 19.75/5.10 | (3550) all_0_14_14 = all_0_16_16 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3505,3550) yields a new equation: % 19.75/5.10 | (3158) all_0_16_16 = e3 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3502,3550) yields a new equation: % 19.75/5.10 | (3552) all_0_16_16 = all_0_34_34 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3546,3545) yields a new equation: % 19.75/5.10 | (3553) all_0_19_19 = all_0_24_24 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3553 yields: % 19.75/5.10 | (3554) all_0_19_19 = all_0_24_24 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3552,3158) yields a new equation: % 19.75/5.10 | (3555) all_0_34_34 = e3 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3555 yields: % 19.75/5.10 | (3556) all_0_34_34 = e3 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3509,3554) yields a new equation: % 19.75/5.10 | (3557) all_0_24_24 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3021,3557) yields a new equation: % 19.75/5.10 | (3558) all_0_44_44 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3558 yields: % 19.75/5.10 | (3559) all_0_44_44 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3044,3542) yields a new equation: % 19.75/5.10 | (3560) all_0_66_66 = e2 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3560 yields: % 19.75/5.10 | (3561) all_0_66_66 = e2 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3514,3516) yields a new equation: % 19.75/5.10 | (3562) all_0_43_43 = all_0_46_46 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3562 yields: % 19.75/5.10 | (1863) all_0_43_43 = all_0_46_46 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3503,3556) yields a new equation: % 19.75/5.10 | (3564) all_0_38_38 = e3 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3564 yields: % 19.75/5.10 | (3565) all_0_38_38 = e3 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3512,3511) yields a new equation: % 19.75/5.10 | (3566) all_0_41_41 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3539,3511) yields a new equation: % 19.75/5.10 | (3567) all_0_41_41 = all_0_45_45 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3504,3565) yields a new equation: % 19.75/5.10 | (3568) all_0_58_58 = e3 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3568 yields: % 19.75/5.10 | (2552) all_0_58_58 = e3 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3517,3566) yields a new equation: % 19.75/5.10 | (3570) all_0_51_51 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3570 yields: % 19.75/5.10 | (3571) all_0_51_51 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3515,3566) yields a new equation: % 19.75/5.10 | (3572) all_0_43_43 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3572 yields: % 19.75/5.10 | (3573) all_0_43_43 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3567,3566) yields a new equation: % 19.75/5.10 | (3574) all_0_45_45 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3574 yields: % 19.75/5.10 | (3575) all_0_45_45 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3510,1863) yields a new equation: % 19.75/5.10 | (3576) all_0_44_44 = all_0_46_46 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3576 yields: % 19.75/5.10 | (3577) all_0_44_44 = all_0_46_46 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3573,1863) yields a new equation: % 19.75/5.10 | (3578) all_0_46_46 = all_0_53_53 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3577,3559) yields a new equation: % 19.75/5.10 | (3579) all_0_46_46 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3579 yields: % 19.75/5.10 | (3580) all_0_46_46 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3540,3575) yields a new equation: % 19.75/5.10 | (3581) all_0_53_53 = all_0_57_57 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3513,3575) yields a new equation: % 19.75/5.10 | (3582) all_0_53_53 = all_0_54_54 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3578,3580) yields a new equation: % 19.75/5.10 | (3583) all_0_53_53 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3583 yields: % 19.75/5.10 | (3584) all_0_53_53 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3571,3518) yields a new equation: % 19.75/5.10 | (3585) all_0_53_53 = all_0_55_55 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3585 yields: % 19.75/5.10 | (3586) all_0_53_53 = all_0_55_55 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3582,3584) yields a new equation: % 19.75/5.10 | (3587) all_0_54_54 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3587 yields: % 19.75/5.10 | (3588) all_0_54_54 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3581,3584) yields a new equation: % 19.75/5.10 | (3589) all_0_57_57 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Simplifying 3589 yields: % 19.75/5.10 | (3590) all_0_57_57 = all_0_59_59 % 19.75/5.10 | % 19.75/5.10 | Combining equations (3586,3584) yields a new equation: % 19.75/5.11 | (3591) all_0_55_55 = all_0_59_59 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3591 yields: % 19.75/5.11 | (3592) all_0_55_55 = all_0_59_59 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3523,3588) yields a new equation: % 19.75/5.11 | (3593) all_0_59_59 = e1 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3521,3588) yields a new equation: % 19.75/5.11 | (3594) all_0_59_59 = all_0_60_60 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3527,3592) yields a new equation: % 19.75/5.11 | (3595) all_0_59_59 = all_0_64_64 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3530,3592) yields a new equation: % 19.75/5.11 | (3596) all_0_59_59 = all_0_66_66 % 19.75/5.11 | % 19.75/5.11 | Combining equations (2555,3037) yields a new equation: % 19.75/5.11 | (1676) all_0_62_62 = all_0_67_67 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3590,3037) yields a new equation: % 19.75/5.11 | (3598) all_0_59_59 = all_0_62_62 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3598 yields: % 19.75/5.11 | (1867) all_0_59_59 = all_0_62_62 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3526,2552) yields a new equation: % 19.75/5.11 | (3600) all_0_61_61 = e3 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3600 yields: % 19.75/5.11 | (3601) all_0_61_61 = e3 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3594,1867) yields a new equation: % 19.75/5.11 | (3602) all_0_60_60 = all_0_62_62 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3602 yields: % 19.75/5.11 | (3603) all_0_60_60 = all_0_62_62 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3596,1867) yields a new equation: % 19.75/5.11 | (3604) all_0_62_62 = all_0_66_66 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3593,1867) yields a new equation: % 19.75/5.11 | (3605) all_0_62_62 = e1 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3595,1867) yields a new equation: % 19.75/5.11 | (3606) all_0_62_62 = all_0_64_64 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3603,3522) yields a new equation: % 19.75/5.11 | (1879) all_0_62_62 = all_0_65_65 % 19.75/5.11 | % 19.75/5.11 | Simplifying 1879 yields: % 19.75/5.11 | (1880) all_0_62_62 = all_0_65_65 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3528,3601) yields a new equation: % 19.75/5.11 | (3609) all_0_64_64 = e3 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3609 yields: % 19.75/5.11 | (2593) all_0_64_64 = e3 % 19.75/5.11 | % 19.75/5.11 | Combining equations (1676,1880) yields a new equation: % 19.75/5.11 | (3611) all_0_65_65 = all_0_67_67 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3604,1880) yields a new equation: % 19.75/5.11 | (3612) all_0_65_65 = all_0_66_66 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3606,1880) yields a new equation: % 19.75/5.11 | (3613) all_0_64_64 = all_0_65_65 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3613 yields: % 19.75/5.11 | (3614) all_0_64_64 = all_0_65_65 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3605,1880) yields a new equation: % 19.75/5.11 | (3615) all_0_65_65 = e1 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3614,2593) yields a new equation: % 19.75/5.11 | (3616) all_0_65_65 = e3 % 19.75/5.11 | % 19.75/5.11 | Simplifying 3616 yields: % 19.75/5.11 | (3617) all_0_65_65 = e3 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3611,3617) yields a new equation: % 19.75/5.11 | (2583) all_0_67_67 = e3 % 19.75/5.11 | % 19.75/5.11 | Simplifying 2583 yields: % 19.75/5.11 | (2584) all_0_67_67 = e3 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3612,3617) yields a new equation: % 19.75/5.11 | (2587) all_0_66_66 = e3 % 19.75/5.11 | % 19.75/5.11 | Simplifying 2587 yields: % 19.75/5.11 | (2588) all_0_66_66 = e3 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3615,3617) yields a new equation: % 19.75/5.11 | (486) e3 = e1 % 19.75/5.11 | % 19.75/5.11 | Combining equations (3561,2588) yields a new equation: % 19.75/5.11 | (1223) e3 = e2 % 19.75/5.11 | % 19.75/5.11 | Combining equations (1679,2584) yields a new equation: % 19.75/5.11 | (1225) e3 = e0 % 19.75/5.11 | % 19.75/5.11 | Combining equations (1225,1223) yields a new equation: % 19.75/5.11 | (1227) e2 = e0 % 19.75/5.11 | % 19.75/5.11 | Combining equations (486,1223) yields a new equation: % 19.75/5.11 | (494) e2 = e1 % 19.75/5.11 | % 19.75/5.11 | Combining equations (494,1227) yields a new equation: % 19.75/5.11 | (1241) e1 = e0 % 19.75/5.11 | % 19.75/5.11 | Simplifying 1241 yields: % 19.75/5.11 | (632) e1 = e0 % 19.75/5.11 | % 19.75/5.11 | Equations (632) can reduce 71 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (419) ~ (all_0_80_80 = e1) % 19.75/5.11 | (423) all_0_80_80 = e0 % 19.75/5.11 | % 19.75/5.11 | Equations (423) can reduce 352 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (398) ~ (all_0_81_81 = e3) % 19.75/5.11 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 19.75/5.11 | % 19.75/5.11 +-Applying beta-rule and splitting (402), into two cases. % 19.75/5.11 |-Branch one: % 19.75/5.11 | (410) all_0_81_81 = e2 % 19.75/5.11 | % 19.75/5.11 | Equations (410) can reduce 391 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (391) ~ (all_0_81_81 = e2) % 19.75/5.11 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 19.75/5.11 | % 19.75/5.11 +-Applying beta-rule and splitting (413), into two cases. % 19.75/5.11 |-Branch one: % 19.75/5.11 | (418) all_0_81_81 = e1 % 19.75/5.11 | % 19.75/5.11 | Equations (418) can reduce 425 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (425) ~ (all_0_81_81 = e1) % 19.75/5.11 | (426) all_0_81_81 = e0 % 19.75/5.11 | % 19.75/5.11 | Equations (426) can reduce 353 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (1358) ~ (all_0_82_82 = e2) % 19.75/5.11 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 19.75/5.11 | % 19.75/5.11 +-Applying beta-rule and splitting (1372), into two cases. % 19.75/5.11 |-Branch one: % 19.75/5.11 | (1373) all_0_82_82 = e1 % 19.75/5.11 | % 19.75/5.11 | Equations (1373) can reduce 1320 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (1320) ~ (all_0_82_82 = e1) % 19.75/5.11 | (1376) all_0_82_82 = e0 % 19.75/5.11 | % 19.75/5.11 | Equations (1376) can reduce 1368 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (1315) ~ (all_0_74_74 = e1) % 19.75/5.11 | (1383) all_0_74_74 = e0 % 19.75/5.11 | % 19.75/5.11 | Equations (1383) can reduce 292 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (389) ~ (all_0_69_69 = e2) % 19.75/5.11 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 19.75/5.11 | % 19.75/5.11 +-Applying beta-rule and splitting (440), into two cases. % 19.75/5.11 |-Branch one: % 19.75/5.11 | (441) all_0_69_69 = e1 % 19.75/5.11 | % 19.75/5.11 | Equations (441) can reduce 366 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (366) ~ (all_0_69_69 = e1) % 19.75/5.11 | (444) all_0_69_69 = e0 % 19.75/5.11 | % 19.75/5.11 | Equations (444) can reduce 298 to: % 19.75/5.11 | (326) $false % 19.75/5.11 | % 19.75/5.11 |-The branch is then unsatisfiable % 19.75/5.11 |-Branch two: % 19.75/5.11 | (428) ~ (all_0_72_72 = e2) % 19.75/5.12 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (429), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (430) all_0_72_72 = e1 % 19.75/5.12 | % 19.75/5.12 | Equations (430) can reduce 361 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (361) ~ (all_0_72_72 = e1) % 19.75/5.12 | (433) all_0_72_72 = e0 % 19.75/5.12 | % 19.75/5.12 | Equations (433) can reduce 348 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (453) ~ (all_0_76_76 = e3) % 19.75/5.12 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (454), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (455) all_0_76_76 = e2 % 19.75/5.12 | % 19.75/5.12 | Equations (455) can reduce 357 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (357) ~ (all_0_76_76 = e2) % 19.75/5.12 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (458), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (459) all_0_76_76 = e1 % 19.75/5.12 | % 19.75/5.12 | Equations (459) can reduce 376 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (376) ~ (all_0_76_76 = e1) % 19.75/5.12 | (462) all_0_76_76 = e0 % 19.75/5.12 | % 19.75/5.12 | Equations (462) can reduce 349 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (377) ~ (all_0_77_77 = e1) % 19.75/5.12 | (451) all_0_77_77 = e0 % 19.75/5.12 | % 19.75/5.12 | Equations (451) can reduce 350 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (877) ~ (all_0_75_75 = e3) % 19.75/5.12 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (886), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (887) all_0_75_75 = e2 % 19.75/5.12 | % 19.75/5.12 | Equations (887) can reduce 881 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (881) ~ (all_0_75_75 = e2) % 19.75/5.12 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (890), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (895) all_0_75_75 = e1 % 19.75/5.12 | % 19.75/5.12 | Equations (895) can reduce 859 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (859) ~ (all_0_75_75 = e1) % 19.75/5.12 | (898) all_0_75_75 = e0 % 19.75/5.12 | % 19.75/5.12 | Equations (898) can reduce 999 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (297) ~ (all_0_79_79 = e2) % 19.75/5.12 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (374), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (375) all_0_79_79 = e1 % 19.75/5.12 | % 19.75/5.12 | Equations (375) can reduce 464 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (464) ~ (all_0_79_79 = e1) % 19.75/5.12 | (465) all_0_79_79 = e0 % 19.75/5.12 | % 19.75/5.12 | Equations (465) can reduce 351 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (1258) ~ (all_0_70_70 = e3) % 19.75/5.12 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (1259), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (1260) all_0_70_70 = e2 % 19.75/5.12 | % 19.75/5.12 | Equations (1260) can reduce 296 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (296) ~ (all_0_70_70 = e2) % 19.75/5.12 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (1263), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (1264) all_0_70_70 = e1 % 19.75/5.12 | % 19.75/5.12 | Equations (1264) can reduce 1171 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (1171) ~ (all_0_70_70 = e1) % 19.75/5.12 | (1267) all_0_70_70 = e0 % 19.75/5.12 | % 19.75/5.12 | Equations (1267) can reduce 1187 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (1260) all_0_70_70 = e2 % 19.75/5.12 | (951) ~ (all_0_78_78 = e0) % 19.75/5.12 | % 19.75/5.12 | Equations (343) can reduce 951 to: % 19.75/5.12 | (326) $false % 19.75/5.12 | % 19.75/5.12 |-The branch is then unsatisfiable % 19.75/5.12 |-Branch two: % 19.75/5.12 | (324) all_0_78_78 = e3 % 19.75/5.12 | (1358) ~ (all_0_82_82 = e2) % 19.75/5.12 | % 19.75/5.12 | From (324) and (85) follows: % 19.75/5.12 | (3716) op(e3, e3) = all_0_44_44 % 19.75/5.12 | % 19.75/5.12 | From (324) and (25) follows: % 19.75/5.12 | (3717) op(e3, e2) = all_0_45_45 % 19.75/5.12 | % 19.75/5.12 | From (324) and (66) follows: % 19.75/5.12 | (3718) op(e3, e1) = all_0_46_46 % 19.75/5.12 | % 19.75/5.12 | From (324) and (181) follows: % 19.75/5.12 | (3719) op(e3, e0) = all_0_47_47 % 19.75/5.12 | % 19.75/5.12 | From (324) and (233) follows: % 19.75/5.12 | (3720) op(e3, e3) = all_0_14_14 % 19.75/5.12 | % 19.75/5.12 | From (324) and (2) follows: % 19.75/5.12 | (3721) op(e2, e3) = all_0_30_30 % 19.75/5.12 | % 19.75/5.12 | From (324) and (3) follows: % 19.75/5.12 | (3722) op(e1, e3) = all_0_46_46 % 19.75/5.12 | % 19.75/5.12 | From (324) and (197) follows: % 19.75/5.12 | (3723) op(e0, e3) = all_0_62_62 % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (270), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (319), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.75/5.12 | % 19.75/5.12 +-Applying beta-rule and splitting (320), into two cases. % 19.75/5.12 |-Branch one: % 19.75/5.12 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.75/5.12 | % 19.75/5.12 | Applying alpha-rule on (321) yields: % 19.75/5.12 | (322) all_0_68_68 = e3 % 19.75/5.12 | (323) all_0_73_73 = e3 % 19.75/5.12 | (324) all_0_78_78 = e3 % 19.75/5.12 | (325) all_0_83_83 = e3 % 19.75/5.12 | % 19.75/5.12 | Equations (325) can reduce 42 to: % 19.75/5.12 | (1143) ~ (all_0_82_82 = e3) % 19.75/5.12 | % 19.75/5.12 | From (322) and (128) follows: % 19.75/5.12 | (3454) op(e3, e2) = all_0_5_5 % 19.75/5.12 | % 19.75/5.12 | From (322) and (147) follows: % 19.75/5.12 | (3733) op(e3, e1) = all_0_6_6 % 19.75/5.12 | % 19.75/5.12 | From (322) and (59) follows: % 19.75/5.12 | (3734) op(e3, e0) = all_0_7_7 % 19.75/5.12 | % 19.75/5.12 | From (323) and (208) follows: % 19.75/5.12 | (3735) op(e3, e3) = all_0_24_24 % 19.75/5.12 | % 19.75/5.12 | From (323) and (135) follows: % 19.75/5.12 | (3736) op(e3, e2) = all_0_25_25 % 19.75/5.12 | % 19.75/5.12 | From (323) and (22) follows: % 19.75/5.12 | (3737) op(e3, e1) = all_0_26_26 % 19.75/5.12 | % 19.75/5.12 | From (323) and (31) follows: % 19.75/5.12 | (3738) op(e3, e0) = all_0_27_27 % 19.75/5.12 | % 19.75/5.12 | From (325) and (111) follows: % 19.75/5.12 | (3739) op(e3, e3) = all_0_64_64 % 19.75/5.12 | % 19.75/5.12 | From (325) and (64) follows: % 19.75/5.12 | (3740) op(e3, e2) = all_0_65_65 % 19.75/5.12 | % 19.75/5.12 | From (325) and (274) follows: % 19.75/5.12 | (3741) op(e3, e1) = all_0_66_66 % 19.75/5.12 | % 19.75/5.12 | From (325) and (136) follows: % 19.75/5.12 | (3742) op(e3, e0) = all_0_67_67 % 19.75/5.12 | % 19.75/5.12 | From (322) and (281) follows: % 19.75/5.12 | (3743) op(e3, e3) = all_0_4_4 % 19.75/5.12 | % 19.75/5.12 | From (323) and (235) follows: % 19.75/5.12 | (3744) op(e3, e3) = all_0_9_9 % 19.75/5.12 | % 19.75/5.12 | From (325) and (16) follows: % 19.75/5.12 | (3745) op(e3, e3) = all_0_19_19 % 19.75/5.12 | % 19.75/5.12 | From (322) and (53) follows: % 19.75/5.12 | (3746) op(e3, e3) = e3 % 19.75/5.12 | % 19.75/5.12 | From (322) and (45) follows: % 19.75/5.12 | (3747) op(e2, e3) = all_0_20_20 % 19.75/5.12 | % 19.75/5.12 | From (323) and (150) follows: % 19.75/5.12 | (3748) op(e2, e3) = all_0_25_25 % 19.75/5.12 | % 19.75/5.12 | From (325) and (211) follows: % 19.75/5.12 | (3749) op(e2, e3) = all_0_35_35 % 19.75/5.12 | % 19.75/5.12 | From (322) and (32) follows: % 19.75/5.12 | (3750) op(e1, e3) = all_0_36_36 % 19.75/5.12 | % 19.75/5.12 | From (323) and (207) follows: % 19.75/5.12 | (3751) op(e1, e3) = all_0_41_41 % 19.75/5.12 | % 19.75/5.12 | From (325) and (91) follows: % 19.75/5.12 | (3752) op(e1, e3) = all_0_51_51 % 19.75/5.12 | % 19.75/5.12 | From (322) and (72) follows: % 19.75/5.12 | (3753) op(e0, e3) = all_0_52_52 % 19.75/5.12 | % 19.75/5.12 | From (323) and (140) follows: % 19.75/5.12 | (3754) op(e0, e3) = all_0_57_57 % 19.75/5.12 | % 19.75/5.12 | From (325) and (272) follows: % 19.75/5.12 | (3755) op(e0, e3) = all_0_67_67 % 19.75/5.12 | % 19.75/5.12 | Instantiating formula (218) with e3, e3, all_0_14_14, all_0_4_4 and discharging atoms op(e3, e3) = all_0_4_4, op(e3, e3) = all_0_14_14, yields: % 19.75/5.12 | (3016) all_0_4_4 = all_0_14_14 % 19.75/5.12 | % 19.75/5.12 | Instantiating formula (218) with e3, e3, all_0_19_19, all_0_14_14 and discharging atoms op(e3, e3) = all_0_14_14, op(e3, e3) = all_0_19_19, yields: % 19.75/5.12 | (3050) all_0_14_14 = all_0_19_19 % 19.75/5.12 | % 19.75/5.12 | Instantiating formula (218) with e3, e3, all_0_24_24, all_0_9_9 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = all_0_24_24, yields: % 19.75/5.12 | (3537) all_0_9_9 = all_0_24_24 % 19.75/5.12 | % 19.75/5.12 | Instantiating formula (218) with e3, e3, all_0_24_24, all_0_14_14 and discharging atoms op(e3, e3) = all_0_14_14, op(e3, e3) = all_0_24_24, yields: % 19.75/5.13 | (3759) all_0_14_14 = all_0_24_24 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e3, all_0_44_44, all_0_9_9 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = all_0_44_44, yields: % 19.75/5.13 | (3760) all_0_9_9 = all_0_44_44 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e3, all_0_64_64, all_0_9_9 and discharging atoms op(e3, e3) = all_0_9_9, op(e3, e3) = all_0_64_64, yields: % 19.75/5.13 | (3761) all_0_9_9 = all_0_64_64 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e3, e3, all_0_4_4 and discharging atoms op(e3, e3) = all_0_4_4, op(e3, e3) = e3, yields: % 19.75/5.13 | (3762) all_0_4_4 = e3 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e2, all_0_25_25, all_0_5_5 and discharging atoms op(e3, e2) = all_0_5_5, op(e3, e2) = all_0_25_25, yields: % 19.75/5.13 | (3763) all_0_5_5 = all_0_25_25 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e2, all_0_45_45, all_0_5_5 and discharging atoms op(e3, e2) = all_0_5_5, op(e3, e2) = all_0_45_45, yields: % 19.75/5.13 | (3524) all_0_5_5 = all_0_45_45 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e2, all_0_65_65, all_0_69_69 and discharging atoms op(e3, e2) = all_0_65_65, op(e3, e2) = all_0_69_69, yields: % 19.75/5.13 | (3765) all_0_65_65 = all_0_69_69 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e2, all_0_65_65, all_0_5_5 and discharging atoms op(e3, e2) = all_0_5_5, op(e3, e2) = all_0_65_65, yields: % 19.75/5.13 | (3766) all_0_5_5 = all_0_65_65 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e1, all_0_6_6, all_0_70_70 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_70_70, yields: % 19.75/5.13 | (3767) all_0_6_6 = all_0_70_70 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e1, all_0_26_26, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_26_26, yields: % 19.75/5.13 | (3025) all_0_6_6 = all_0_26_26 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e1, all_0_46_46, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_46_46, yields: % 19.75/5.13 | (2545) all_0_6_6 = all_0_46_46 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e1, all_0_66_66, all_0_6_6 and discharging atoms op(e3, e1) = all_0_6_6, op(e3, e1) = all_0_66_66, yields: % 19.75/5.13 | (3027) all_0_6_6 = all_0_66_66 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e0, all_0_27_27, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = all_0_27_27, yields: % 19.75/5.13 | (3029) all_0_7_7 = all_0_27_27 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e0, all_0_47_47, all_0_71_71 and discharging atoms op(e3, e0) = all_0_47_47, op(e3, e0) = all_0_71_71, yields: % 19.75/5.13 | (3772) all_0_47_47 = all_0_71_71 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e0, all_0_47_47, all_0_27_27 and discharging atoms op(e3, e0) = all_0_27_27, op(e3, e0) = all_0_47_47, yields: % 19.75/5.13 | (3030) all_0_27_27 = all_0_47_47 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e3, e0, all_0_67_67, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = all_0_67_67, yields: % 19.75/5.13 | (3031) all_0_7_7 = all_0_67_67 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e2, e3, all_0_20_20, all_0_72_72 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_72_72, yields: % 19.75/5.13 | (3775) all_0_20_20 = all_0_72_72 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e2, e3, all_0_25_25, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_25_25, yields: % 19.75/5.13 | (3776) all_0_20_20 = all_0_25_25 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e2, e3, all_0_30_30, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_30_30, yields: % 19.75/5.13 | (3777) all_0_20_20 = all_0_30_30 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e2, e3, all_0_35_35, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_35_35, yields: % 19.75/5.13 | (3778) all_0_20_20 = all_0_35_35 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e1, e3, all_0_41_41, all_0_76_76 and discharging atoms op(e1, e3) = all_0_41_41, op(e1, e3) = all_0_76_76, yields: % 19.75/5.13 | (3779) all_0_41_41 = all_0_76_76 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e1, e3, all_0_41_41, all_0_36_36 and discharging atoms op(e1, e3) = all_0_36_36, op(e1, e3) = all_0_41_41, yields: % 19.75/5.13 | (2575) all_0_36_36 = all_0_41_41 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e1, e3, all_0_46_46, all_0_36_36 and discharging atoms op(e1, e3) = all_0_36_36, op(e1, e3) = all_0_46_46, yields: % 19.75/5.13 | (3034) all_0_36_36 = all_0_46_46 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e1, e3, all_0_51_51, all_0_36_36 and discharging atoms op(e1, e3) = all_0_36_36, op(e1, e3) = all_0_51_51, yields: % 19.75/5.13 | (3782) all_0_36_36 = all_0_51_51 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e0, e3, all_0_57_57, all_0_80_80 and discharging atoms op(e0, e3) = all_0_57_57, op(e0, e3) = all_0_80_80, yields: % 19.75/5.13 | (3783) all_0_57_57 = all_0_80_80 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e0, e3, all_0_57_57, all_0_52_52 and discharging atoms op(e0, e3) = all_0_52_52, op(e0, e3) = all_0_57_57, yields: % 19.75/5.13 | (2564) all_0_52_52 = all_0_57_57 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e0, e3, all_0_62_62, all_0_52_52 and discharging atoms op(e0, e3) = all_0_52_52, op(e0, e3) = all_0_62_62, yields: % 19.75/5.13 | (1866) all_0_52_52 = all_0_62_62 % 19.75/5.13 | % 19.75/5.13 | Instantiating formula (218) with e0, e3, all_0_67_67, all_0_57_57 and discharging atoms op(e0, e3) = all_0_57_57, op(e0, e3) = all_0_67_67, yields: % 19.75/5.13 | (2555) all_0_57_57 = all_0_67_67 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3016,3762) yields a new equation: % 19.75/5.13 | (3787) all_0_14_14 = e3 % 19.75/5.13 | % 19.75/5.13 | Simplifying 3787 yields: % 19.75/5.13 | (3505) all_0_14_14 = e3 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3763,3524) yields a new equation: % 19.75/5.13 | (3789) all_0_25_25 = all_0_45_45 % 19.75/5.13 | % 19.75/5.13 | Simplifying 3789 yields: % 19.75/5.13 | (3790) all_0_25_25 = all_0_45_45 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3766,3524) yields a new equation: % 19.75/5.13 | (3791) all_0_45_45 = all_0_65_65 % 19.75/5.13 | % 19.75/5.13 | Combining equations (2545,3025) yields a new equation: % 19.75/5.13 | (3792) all_0_26_26 = all_0_46_46 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3027,3025) yields a new equation: % 19.75/5.13 | (3044) all_0_26_26 = all_0_66_66 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3767,3025) yields a new equation: % 19.75/5.13 | (3794) all_0_26_26 = all_0_70_70 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3029,3031) yields a new equation: % 19.75/5.13 | (3047) all_0_27_27 = all_0_67_67 % 19.75/5.13 | % 19.75/5.13 | Simplifying 3047 yields: % 19.75/5.13 | (3048) all_0_27_27 = all_0_67_67 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3537,3760) yields a new equation: % 19.75/5.13 | (3797) all_0_24_24 = all_0_44_44 % 19.75/5.13 | % 19.75/5.13 | Simplifying 3797 yields: % 19.75/5.13 | (3021) all_0_24_24 = all_0_44_44 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3761,3760) yields a new equation: % 19.75/5.13 | (3055) all_0_44_44 = all_0_64_64 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3759,3050) yields a new equation: % 19.75/5.13 | (3554) all_0_19_19 = all_0_24_24 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3505,3050) yields a new equation: % 19.75/5.13 | (3801) all_0_19_19 = e3 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3554,3801) yields a new equation: % 19.75/5.13 | (3802) all_0_24_24 = e3 % 19.75/5.13 | % 19.75/5.13 | Simplifying 3802 yields: % 19.75/5.13 | (3803) all_0_24_24 = e3 % 19.75/5.13 | % 19.75/5.13 | Combining equations (3778,3776) yields a new equation: % 19.75/5.13 | (3804) all_0_25_25 = all_0_35_35 % 19.75/5.13 | % 19.75/5.14 | Combining equations (3775,3776) yields a new equation: % 19.75/5.14 | (3805) all_0_25_25 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3777,3776) yields a new equation: % 19.75/5.14 | (3806) all_0_25_25 = all_0_30_30 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3021,3803) yields a new equation: % 19.75/5.14 | (3807) all_0_44_44 = e3 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3807 yields: % 19.75/5.14 | (3808) all_0_44_44 = e3 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3804,3806) yields a new equation: % 19.75/5.14 | (3809) all_0_30_30 = all_0_35_35 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3805,3806) yields a new equation: % 19.75/5.14 | (3810) all_0_30_30 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3790,3806) yields a new equation: % 19.75/5.14 | (3811) all_0_30_30 = all_0_45_45 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3794,3792) yields a new equation: % 19.75/5.14 | (3812) all_0_46_46 = all_0_70_70 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3044,3792) yields a new equation: % 19.75/5.14 | (1671) all_0_46_46 = all_0_66_66 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3030,3048) yields a new equation: % 19.75/5.14 | (3814) all_0_47_47 = all_0_67_67 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3814 yields: % 19.75/5.14 | (3059) all_0_47_47 = all_0_67_67 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3811,3809) yields a new equation: % 19.75/5.14 | (3816) all_0_35_35 = all_0_45_45 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3810,3809) yields a new equation: % 19.75/5.14 | (3817) all_0_35_35 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3816,3817) yields a new equation: % 19.75/5.14 | (3818) all_0_45_45 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3818 yields: % 19.75/5.14 | (3819) all_0_45_45 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3782,3034) yields a new equation: % 19.75/5.14 | (3820) all_0_46_46 = all_0_51_51 % 19.75/5.14 | % 19.75/5.14 | Combining equations (2575,3034) yields a new equation: % 19.75/5.14 | (3060) all_0_41_41 = all_0_46_46 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3060 yields: % 19.75/5.14 | (3061) all_0_41_41 = all_0_46_46 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3061,3779) yields a new equation: % 19.75/5.14 | (3823) all_0_46_46 = all_0_76_76 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3823 yields: % 19.75/5.14 | (3824) all_0_46_46 = all_0_76_76 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3055,3808) yields a new equation: % 19.75/5.14 | (3609) all_0_64_64 = e3 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3609 yields: % 19.75/5.14 | (2593) all_0_64_64 = e3 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3791,3819) yields a new equation: % 19.75/5.14 | (3827) all_0_65_65 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3827 yields: % 19.75/5.14 | (3828) all_0_65_65 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3812,3820) yields a new equation: % 19.75/5.14 | (3829) all_0_51_51 = all_0_70_70 % 19.75/5.14 | % 19.75/5.14 | Combining equations (1671,3820) yields a new equation: % 19.75/5.14 | (3830) all_0_51_51 = all_0_66_66 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3824,3820) yields a new equation: % 19.75/5.14 | (3831) all_0_51_51 = all_0_76_76 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3772,3059) yields a new equation: % 19.75/5.14 | (3832) all_0_67_67 = all_0_71_71 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3829,3830) yields a new equation: % 19.75/5.14 | (3833) all_0_66_66 = all_0_70_70 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3831,3830) yields a new equation: % 19.75/5.14 | (3834) all_0_66_66 = all_0_76_76 % 19.75/5.14 | % 19.75/5.14 | Combining equations (2564,1866) yields a new equation: % 19.75/5.14 | (3835) all_0_57_57 = all_0_62_62 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3835 yields: % 19.75/5.14 | (3037) all_0_57_57 = all_0_62_62 % 19.75/5.14 | % 19.75/5.14 | Combining equations (2555,3037) yields a new equation: % 19.75/5.14 | (1676) all_0_62_62 = all_0_67_67 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3783,3037) yields a new equation: % 19.75/5.14 | (3838) all_0_62_62 = all_0_80_80 % 19.75/5.14 | % 19.75/5.14 | Combining equations (1676,3838) yields a new equation: % 19.75/5.14 | (3839) all_0_67_67 = all_0_80_80 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3839 yields: % 19.75/5.14 | (3840) all_0_67_67 = all_0_80_80 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3828,3765) yields a new equation: % 19.75/5.14 | (3075) all_0_69_69 = all_0_72_72 % 19.75/5.14 | % 19.75/5.14 | Combining equations (3833,3834) yields a new equation: % 19.75/5.14 | (3842) all_0_70_70 = all_0_76_76 % 19.75/5.14 | % 19.75/5.14 | Simplifying 3842 yields: % 19.75/5.14 | (3843) all_0_70_70 = all_0_76_76 % 19.75/5.14 | % 19.75/5.15 | Combining equations (3840,3832) yields a new equation: % 19.75/5.15 | (3844) all_0_71_71 = all_0_80_80 % 19.75/5.15 | % 19.75/5.15 | Combining equations (3844,3832) yields a new equation: % 19.75/5.15 | (3840) all_0_67_67 = all_0_80_80 % 19.75/5.15 | % 19.75/5.15 | Combining equations (3834,3830) yields a new equation: % 19.75/5.15 | (3831) all_0_51_51 = all_0_76_76 % 19.75/5.15 | % 19.75/5.15 | Equations (3843) can reduce 265 to: % 19.75/5.15 | (3847) ~ (all_0_76_76 = all_0_82_82) % 19.75/5.15 | % 19.75/5.15 | From (2593) and (3739) follows: % 19.75/5.15 | (3746) op(e3, e3) = e3 % 19.75/5.15 | % 19.75/5.15 | From (3075) and (80) follows: % 19.75/5.15 | (3849) op(e2, all_0_72_72) = all_0_21_21 % 19.75/5.15 | % 19.75/5.15 | From (3803) and (21) follows: % 19.75/5.15 | (3850) op(e2, all_0_72_72) = e3 % 19.75/5.15 | % 19.75/5.15 | From (3817) and (3749) follows: % 19.75/5.15 | (29) op(e2, e3) = all_0_72_72 % 19.75/5.15 | % 19.75/5.15 | From (3843) and (102) follows: % 19.75/5.15 | (3852) op(e1, all_0_76_76) = all_0_38_38 % 19.75/5.15 | % 19.75/5.15 | From (3808) and (8) follows: % 19.75/5.15 | (3853) op(e1, all_0_76_76) = e3 % 19.75/5.15 | % 19.75/5.15 | From (3831) and (3752) follows: % 19.75/5.15 | (28) op(e1, e3) = all_0_76_76 % 19.75/5.15 | % 19.75/5.15 | From (3844) and (92) follows: % 19.75/5.15 | (3855) op(e0, all_0_80_80) = all_0_55_55 % 19.75/5.15 | % 19.75/5.15 | From (2593) and (82) follows: % 19.75/5.15 | (3856) op(e0, all_0_80_80) = e3 % 19.75/5.15 | % 19.75/5.15 | From (3840) and (3755) follows: % 19.75/5.15 | (168) op(e0, e3) = all_0_80_80 % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e2, all_0_72_72, e3, all_0_21_21 and discharging atoms op(e2, all_0_72_72) = all_0_21_21, op(e2, all_0_72_72) = e3, yields: % 19.75/5.15 | (3858) all_0_21_21 = e3 % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e1, all_0_76_76, e3, all_0_38_38 and discharging atoms op(e1, all_0_76_76) = all_0_38_38, op(e1, all_0_76_76) = e3, yields: % 19.75/5.15 | (3565) all_0_38_38 = e3 % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e0, all_0_80_80, e3, all_0_55_55 and discharging atoms op(e0, all_0_80_80) = all_0_55_55, op(e0, all_0_80_80) = e3, yields: % 19.75/5.15 | (3860) all_0_55_55 = e3 % 19.75/5.15 | % 19.75/5.15 | From (3858) and (3849) follows: % 19.75/5.15 | (3850) op(e2, all_0_72_72) = e3 % 19.75/5.15 | % 19.75/5.15 | From (3565) and (3852) follows: % 19.75/5.15 | (3853) op(e1, all_0_76_76) = e3 % 19.75/5.15 | % 19.75/5.15 | From (3860) and (3855) follows: % 19.75/5.15 | (3856) op(e0, all_0_80_80) = e3 % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (68), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (300) ~ (all_0_1_1 = e3) % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (279), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (301) ~ (all_0_0_0 = e2) % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (236), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (304) ~ (all_0_0_0 = e0) % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (192), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (649) ~ (all_0_2_2 = e3) % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (79), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (299) ~ (all_0_0_0 = e1) % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (115), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (305) all_0_0_0 = e3 % 19.75/5.15 | % 19.75/5.15 | From (305) and (248) follows: % 19.75/5.15 | (307) op(e3, e3) = unit % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e3, e3, unit, e3 and discharging atoms op(e3, e3) = unit, op(e3, e3) = e3, yields: % 19.75/5.15 | (672) unit = e3 % 19.75/5.15 | % 19.75/5.15 | From (672) and (151) follows: % 19.75/5.15 | (3872) op(e1, e3) = e1 % 19.75/5.15 | % 19.75/5.15 | From (672) and (163) follows: % 19.75/5.15 | (3873) op(e0, e3) = e0 % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e1, e3, e1, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = e1, yields: % 19.75/5.15 | (459) all_0_76_76 = e1 % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e0, e3, e0, all_0_80_80 and discharging atoms op(e0, e3) = all_0_80_80, op(e0, e3) = e0, yields: % 19.75/5.15 | (423) all_0_80_80 = e0 % 19.75/5.15 | % 19.75/5.15 | Equations (459) can reduce 3847 to: % 19.75/5.15 | (2262) ~ (all_0_82_82 = e1) % 19.75/5.15 | % 19.75/5.15 | Simplifying 2262 yields: % 19.75/5.15 | (1320) ~ (all_0_82_82 = e1) % 19.75/5.15 | % 19.75/5.15 | Equations (423) can reduce 95 to: % 19.75/5.15 | (1367) ~ (all_0_82_82 = e0) % 19.75/5.15 | % 19.75/5.15 | Simplifying 1367 yields: % 19.75/5.15 | (1368) ~ (all_0_82_82 = e0) % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (123), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (1140) all_0_82_82 = e3 % 19.75/5.15 | % 19.75/5.15 | Equations (1140) can reduce 1143 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (1143) ~ (all_0_82_82 = e3) % 19.75/5.15 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (1144), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (1369) all_0_82_82 = e2 % 19.75/5.15 | % 19.75/5.15 | Equations (1369) can reduce 1358 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (1358) ~ (all_0_82_82 = e2) % 19.75/5.15 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (1372), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (1373) all_0_82_82 = e1 % 19.75/5.15 | % 19.75/5.15 | Equations (1373) can reduce 1320 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (1320) ~ (all_0_82_82 = e1) % 19.75/5.15 | (1376) all_0_82_82 = e0 % 19.75/5.15 | % 19.75/5.15 | Equations (1376) can reduce 1368 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (634) ~ (all_0_0_0 = e3) % 19.75/5.15 | (635) all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0 % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (635), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (636) all_0_0_0 = e2 % 19.75/5.15 | % 19.75/5.15 | Equations (636) can reduce 301 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (301) ~ (all_0_0_0 = e2) % 19.75/5.15 | (639) all_0_0_0 = e1 | all_0_0_0 = e0 % 19.75/5.15 | % 19.75/5.15 +-Applying beta-rule and splitting (639), into two cases. % 19.75/5.15 |-Branch one: % 19.75/5.15 | (640) all_0_0_0 = e1 % 19.75/5.15 | % 19.75/5.15 | Equations (640) can reduce 299 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (299) ~ (all_0_0_0 = e1) % 19.75/5.15 | (643) all_0_0_0 = e0 % 19.75/5.15 | % 19.75/5.15 | Equations (643) can reduce 304 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (640) all_0_0_0 = e1 % 19.75/5.15 | (652) all_0_2_2 = e3 % 19.75/5.15 | % 19.75/5.15 | Equations (652) can reduce 649 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (652) all_0_2_2 = e3 % 19.75/5.15 | (640) all_0_0_0 = e1 % 19.75/5.15 | % 19.75/5.15 | Equations (640,652) can reduce 240 to: % 19.75/5.15 | (724) ~ (e3 = e1) % 19.75/5.15 | % 19.75/5.15 | Simplifying 724 yields: % 19.75/5.15 | (214) ~ (e3 = e1) % 19.75/5.15 | % 19.75/5.15 | From (652) and (174) follows: % 19.75/5.15 | (1278) op(e1, e3) = unit % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e1, e3, unit, all_0_76_76 and discharging atoms op(e1, e3) = all_0_76_76, op(e1, e3) = unit, yields: % 19.75/5.15 | (1280) all_0_76_76 = unit % 19.75/5.15 | % 19.75/5.15 | From (1280) and (3853) follows: % 19.75/5.15 | (3913) op(e1, unit) = e3 % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e1, unit, e3, e1 and discharging atoms op(e1, unit) = e3, op(e1, unit) = e1, yields: % 19.75/5.15 | (486) e3 = e1 % 19.75/5.15 | % 19.75/5.15 | Equations (486) can reduce 214 to: % 19.75/5.15 | (326) $false % 19.75/5.15 | % 19.75/5.15 |-The branch is then unsatisfiable % 19.75/5.15 |-Branch two: % 19.75/5.15 | (643) all_0_0_0 = e0 % 19.75/5.15 | (646) all_0_3_3 = e3 % 19.75/5.15 | % 19.75/5.15 | Equations (643,646) can reduce 145 to: % 19.75/5.15 | (3918) ~ (e3 = e0) % 19.75/5.15 | % 19.75/5.15 | Simplifying 3918 yields: % 19.75/5.15 | (44) ~ (e3 = e0) % 19.75/5.15 | % 19.75/5.15 | From (646) and (49) follows: % 19.75/5.15 | (651) op(e0, e3) = unit % 19.75/5.15 | % 19.75/5.15 | Instantiating formula (218) with e0, e3, unit, all_0_80_80 and discharging atoms op(e0, e3) = all_0_80_80, op(e0, e3) = unit, yields: % 19.75/5.15 | (664) all_0_80_80 = unit % 19.75/5.15 | % 19.75/5.15 | From (664) and (3856) follows: % 19.75/5.16 | (3922) op(e0, unit) = e3 % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e0, unit, e3, e0 and discharging atoms op(e0, unit) = e3, op(e0, unit) = e0, yields: % 19.75/5.16 | (1225) e3 = e0 % 19.75/5.16 | % 19.75/5.16 | Equations (1225) can reduce 44 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (636) all_0_0_0 = e2 % 19.75/5.16 | (1033) all_0_1_1 = e3 % 19.75/5.16 | % 19.75/5.16 | Equations (1033) can reduce 300 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (1033) all_0_1_1 = e3 % 19.75/5.16 | (636) all_0_0_0 = e2 % 19.75/5.16 | % 19.75/5.16 | Equations (636,1033) can reduce 12 to: % 19.75/5.16 | (1553) ~ (e3 = e2) % 19.75/5.16 | % 19.75/5.16 | Simplifying 1553 yields: % 19.75/5.16 | (129) ~ (e3 = e2) % 19.75/5.16 | % 19.75/5.16 | From (1033) and (234) follows: % 19.75/5.16 | (1046) op(e2, e3) = unit % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e2, e3, unit, all_0_72_72 and discharging atoms op(e2, e3) = all_0_72_72, op(e2, e3) = unit, yields: % 19.75/5.16 | (1048) all_0_72_72 = unit % 19.75/5.16 | % 19.75/5.16 | From (1048) and (3850) follows: % 19.75/5.16 | (3934) op(e2, unit) = e3 % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e2, unit, e3, e2 and discharging atoms op(e2, unit) = e3, op(e2, unit) = e2, yields: % 19.75/5.16 | (1223) e3 = e2 % 19.75/5.16 | % 19.75/5.16 | Equations (1223) can reduce 129 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.75/5.16 | % 19.75/5.16 | Applying alpha-rule on (327) yields: % 19.75/5.16 | (328) all_0_68_68 = e2 % 19.75/5.16 | (329) all_0_73_73 = e2 % 19.75/5.16 | (330) all_0_78_78 = e2 % 19.75/5.16 | (331) all_0_83_83 = e2 % 19.75/5.16 | % 19.75/5.16 | Combining equations (324,330) yields a new equation: % 19.75/5.16 | (1222) e3 = e2 % 19.75/5.16 | % 19.75/5.16 | Simplifying 1222 yields: % 19.75/5.16 | (1223) e3 = e2 % 19.75/5.16 | % 19.75/5.16 | Equations (1223) can reduce 129 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.75/5.16 | % 19.75/5.16 | Applying alpha-rule on (333) yields: % 19.75/5.16 | (334) all_0_68_68 = e1 % 19.75/5.16 | (335) all_0_73_73 = e1 % 19.75/5.16 | (336) all_0_78_78 = e1 % 19.75/5.16 | (337) all_0_83_83 = e1 % 19.75/5.16 | % 19.75/5.16 | Combining equations (324,336) yields a new equation: % 19.75/5.16 | (485) e3 = e1 % 19.75/5.16 | % 19.75/5.16 | Simplifying 485 yields: % 19.75/5.16 | (486) e3 = e1 % 19.75/5.16 | % 19.75/5.16 | Equations (486) can reduce 214 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 19.75/5.16 | % 19.75/5.16 | Applying alpha-rule on (340) yields: % 19.75/5.16 | (341) all_0_68_68 = e0 % 19.75/5.16 | (342) all_0_73_73 = e0 % 19.75/5.16 | (343) all_0_78_78 = e0 % 19.75/5.16 | (344) all_0_83_83 = e0 % 19.75/5.16 | % 19.75/5.16 | Combining equations (324,343) yields a new equation: % 19.75/5.16 | (1224) e3 = e0 % 19.75/5.16 | % 19.75/5.16 | Simplifying 1224 yields: % 19.75/5.16 | (1225) e3 = e0 % 19.75/5.16 | % 19.75/5.16 | Equations (1225) can reduce 44 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (1383) all_0_74_74 = e0 % 19.75/5.16 | (293) ~ (all_0_78_78 = e3) % 19.75/5.16 | % 19.75/5.16 | Equations (1383) can reduce 60 to: % 19.75/5.16 | (1187) ~ (all_0_70_70 = e0) % 19.75/5.16 | % 19.75/5.16 | Equations (1383) can reduce 166 to: % 19.75/5.16 | (348) ~ (all_0_72_72 = e0) % 19.75/5.16 | % 19.75/5.16 | Equations (1383) can reduce 173 to: % 19.75/5.16 | (2020) ~ (all_0_75_75 = e0) % 19.75/5.16 | % 19.75/5.16 | Simplifying 2020 yields: % 19.75/5.16 | (999) ~ (all_0_75_75 = e0) % 19.75/5.16 | % 19.75/5.16 | Equations (1383) can reduce 271 to: % 19.75/5.16 | (3967) ~ (all_0_78_78 = e0) % 19.75/5.16 | % 19.75/5.16 | Simplifying 3967 yields: % 19.75/5.16 | (951) ~ (all_0_78_78 = e0) % 19.75/5.16 | % 19.75/5.16 | Equations (1383) can reduce 133 to: % 19.75/5.16 | (1367) ~ (all_0_82_82 = e0) % 19.75/5.16 | % 19.75/5.16 | Simplifying 1367 yields: % 19.75/5.16 | (1368) ~ (all_0_82_82 = e0) % 19.75/5.16 | % 19.75/5.16 | From (1383) and (63) follows: % 19.75/5.16 | (3971) op(e0, e2) = all_0_29_29 % 19.75/5.16 | % 19.75/5.16 | From (1383) and (268) follows: % 19.75/5.16 | (3972) op(e0, e0) = all_0_31_31 % 19.75/5.16 | % 19.75/5.16 | From (1383) and (247) follows: % 19.75/5.16 | (3973) op(e2, e1) = e0 % 19.75/5.16 | % 19.75/5.16 | From (1383) and (269) follows: % 19.75/5.16 | (3974) op(e1, e0) = all_0_42_42 % 19.75/5.16 | % 19.75/5.16 | From (1383) and (52) follows: % 19.75/5.16 | (3975) op(e0, e0) = all_0_58_58 % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e1, e0, all_0_42_42, all_0_79_79 and discharging atoms op(e1, e0) = all_0_42_42, op(e1, e0) = all_0_79_79, yields: % 19.75/5.16 | (3976) all_0_42_42 = all_0_79_79 % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e0, e2, all_0_29_29, all_0_81_81 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = all_0_81_81, yields: % 19.75/5.16 | (3977) all_0_29_29 = all_0_81_81 % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e0, e0, all_0_31_31, all_0_83_83 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = all_0_83_83, yields: % 19.75/5.16 | (3978) all_0_31_31 = all_0_83_83 % 19.75/5.16 | % 19.75/5.16 | Instantiating formula (218) with e0, e0, all_0_58_58, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = all_0_58_58, yields: % 19.75/5.16 | (3979) all_0_31_31 = all_0_58_58 % 19.75/5.16 | % 19.75/5.16 | Combining equations (3978,3979) yields a new equation: % 19.75/5.16 | (3980) all_0_58_58 = all_0_83_83 % 19.75/5.16 | % 19.75/5.16 | Combining equations (3980,3979) yields a new equation: % 19.75/5.16 | (3978) all_0_31_31 = all_0_83_83 % 19.75/5.16 | % 19.75/5.16 | From (3976) and (216) follows: % 19.75/5.16 | (3982) op(all_0_77_77, e1) = all_0_79_79 % 19.75/5.16 | % 19.75/5.16 | From (3977) and (73) follows: % 19.75/5.16 | (3983) op(e2, all_0_77_77) = all_0_81_81 % 19.75/5.16 | % 19.75/5.16 | From (3978) and (26) follows: % 19.75/5.16 | (3984) op(e2, all_0_79_79) = all_0_83_83 % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (130), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (298) ~ (all_0_69_69 = e0) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (97), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (1251) ~ (all_0_68_68 = e2) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (270), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (319), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (320), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 19.75/5.16 | % 19.75/5.16 | Applying alpha-rule on (321) yields: % 19.75/5.16 | (322) all_0_68_68 = e3 % 19.75/5.16 | (323) all_0_73_73 = e3 % 19.75/5.16 | (324) all_0_78_78 = e3 % 19.75/5.16 | (325) all_0_83_83 = e3 % 19.75/5.16 | % 19.75/5.16 | Equations (324) can reduce 293 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 19.75/5.16 | % 19.75/5.16 | Applying alpha-rule on (327) yields: % 19.75/5.16 | (328) all_0_68_68 = e2 % 19.75/5.16 | (329) all_0_73_73 = e2 % 19.75/5.16 | (330) all_0_78_78 = e2 % 19.75/5.16 | (331) all_0_83_83 = e2 % 19.75/5.16 | % 19.75/5.16 | Equations (328) can reduce 1251 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 19.75/5.16 | % 19.75/5.16 | Applying alpha-rule on (333) yields: % 19.75/5.16 | (334) all_0_68_68 = e1 % 19.75/5.16 | (335) all_0_73_73 = e1 % 19.75/5.16 | (336) all_0_78_78 = e1 % 19.75/5.16 | (337) all_0_83_83 = e1 % 19.75/5.16 | % 19.75/5.16 | Equations (335) can reduce 220 to: % 19.75/5.16 | (366) ~ (all_0_69_69 = e1) % 19.75/5.16 | % 19.75/5.16 | Equations (336) can reduce 19 to: % 19.75/5.16 | (1171) ~ (all_0_70_70 = e1) % 19.75/5.16 | % 19.75/5.16 | Equations (337) can reduce 24 to: % 19.75/5.16 | (294) ~ (all_0_71_71 = e1) % 19.75/5.16 | % 19.75/5.16 | Equations (337) can reduce 196 to: % 19.75/5.16 | (859) ~ (all_0_75_75 = e1) % 19.75/5.16 | % 19.75/5.16 | Equations (337) can reduce 250 to: % 19.75/5.16 | (464) ~ (all_0_79_79 = e1) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (107), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (877) ~ (all_0_75_75 = e3) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (253), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (883) all_0_75_75 = e3 % 19.75/5.16 | % 19.75/5.16 | Equations (883) can reduce 877 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (877) ~ (all_0_75_75 = e3) % 19.75/5.16 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (886), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (887) all_0_75_75 = e2 % 19.75/5.16 | % 19.75/5.16 | Equations (887) can reduce 251 to: % 19.75/5.16 | (509) ~ (all_0_71_71 = e2) % 19.75/5.16 | % 19.75/5.16 | Equations (887) can reduce 221 to: % 19.75/5.16 | (4018) ~ (all_0_79_79 = e2) % 19.75/5.16 | % 19.75/5.16 | Simplifying 4018 yields: % 19.75/5.16 | (297) ~ (all_0_79_79 = e2) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (239), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (367) all_0_79_79 = e3 % 19.75/5.16 | % 19.75/5.16 | Equations (367) can reduce 291 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (291) ~ (all_0_79_79 = e3) % 19.75/5.16 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (370), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (371) all_0_79_79 = e2 % 19.75/5.16 | % 19.75/5.16 | Equations (371) can reduce 297 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (297) ~ (all_0_79_79 = e2) % 19.75/5.16 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (374), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (375) all_0_79_79 = e1 % 19.75/5.16 | % 19.75/5.16 | Equations (375) can reduce 464 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (464) ~ (all_0_79_79 = e1) % 19.75/5.16 | (465) all_0_79_79 = e0 % 19.75/5.16 | % 19.75/5.16 | Equations (465) can reduce 110 to: % 19.75/5.16 | (526) ~ (all_0_71_71 = e0) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (48), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (529) all_0_71_71 = e3 % 19.75/5.16 | % 19.75/5.16 | Equations (529) can reduce 153 to: % 19.75/5.16 | (435) ~ (all_0_69_69 = e3) % 19.75/5.16 | % 19.75/5.16 | Equations (529) can reduce 17 to: % 19.75/5.16 | (1258) ~ (all_0_70_70 = e3) % 19.75/5.16 | % 19.75/5.16 +-Applying beta-rule and splitting (101), into two cases. % 19.75/5.16 |-Branch one: % 19.75/5.16 | (396) all_0_69_69 = e3 % 19.75/5.16 | % 19.75/5.16 | Equations (396) can reduce 435 to: % 19.75/5.16 | (326) $false % 19.75/5.16 | % 19.75/5.16 |-The branch is then unsatisfiable % 19.75/5.16 |-Branch two: % 19.75/5.16 | (435) ~ (all_0_69_69 = e3) % 19.75/5.17 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 19.75/5.17 | % 19.75/5.17 +-Applying beta-rule and splitting (436), into two cases. % 19.75/5.17 |-Branch one: % 19.75/5.17 | (437) all_0_69_69 = e2 % 19.75/5.17 | % 19.75/5.17 | Equations (437) can reduce 152 to: % 19.75/5.17 | (4041) ~ (all_0_70_70 = e2) % 19.75/5.17 | % 19.75/5.17 | Simplifying 4041 yields: % 19.75/5.17 | (296) ~ (all_0_70_70 = e2) % 19.75/5.17 | % 19.75/5.17 +-Applying beta-rule and splitting (35), into two cases. % 19.75/5.17 |-Branch one: % 19.75/5.17 | (1188) all_0_70_70 = e3 % 19.75/5.17 | % 19.75/5.17 | Equations (1188) can reduce 1258 to: % 19.75/5.17 | (326) $false % 19.75/5.17 | % 19.75/5.17 |-The branch is then unsatisfiable % 19.75/5.17 |-Branch two: % 19.75/5.17 | (1258) ~ (all_0_70_70 = e3) % 19.75/5.17 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 19.75/5.17 | % 19.75/5.17 +-Applying beta-rule and splitting (1259), into two cases. % 19.75/5.17 |-Branch one: % 19.75/5.17 | (1260) all_0_70_70 = e2 % 19.75/5.17 | % 19.75/5.17 | Equations (1260) can reduce 296 to: % 19.75/5.17 | (326) $false % 19.75/5.17 | % 19.75/5.17 |-The branch is then unsatisfiable % 19.75/5.17 |-Branch two: % 19.75/5.17 | (296) ~ (all_0_70_70 = e2) % 19.75/5.17 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 19.75/5.17 | % 19.75/5.17 +-Applying beta-rule and splitting (1263), into two cases. % 19.75/5.17 |-Branch one: % 20.01/5.17 | (1264) all_0_70_70 = e1 % 20.01/5.17 | % 20.01/5.17 | Equations (1264) can reduce 1171 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (1171) ~ (all_0_70_70 = e1) % 20.01/5.17 | (1267) all_0_70_70 = e0 % 20.01/5.17 | % 20.01/5.17 | Equations (1267) can reduce 1187 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (389) ~ (all_0_69_69 = e2) % 20.01/5.17 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (440), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (441) all_0_69_69 = e1 % 20.01/5.17 | % 20.01/5.17 | Equations (441) can reduce 366 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (366) ~ (all_0_69_69 = e1) % 20.01/5.17 | (444) all_0_69_69 = e0 % 20.01/5.17 | % 20.01/5.17 | Equations (444) can reduce 298 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (613) ~ (all_0_71_71 = e3) % 20.01/5.17 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (614), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (615) all_0_71_71 = e2 % 20.01/5.17 | % 20.01/5.17 | Equations (615) can reduce 509 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (509) ~ (all_0_71_71 = e2) % 20.01/5.17 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (618), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (619) all_0_71_71 = e1 % 20.01/5.17 | % 20.01/5.17 | Equations (619) can reduce 294 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (294) ~ (all_0_71_71 = e1) % 20.01/5.17 | (622) all_0_71_71 = e0 % 20.01/5.17 | % 20.01/5.17 | Equations (622) can reduce 526 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (881) ~ (all_0_75_75 = e2) % 20.01/5.17 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (890), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (895) all_0_75_75 = e1 % 20.01/5.17 | % 20.01/5.17 | Equations (895) can reduce 859 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (859) ~ (all_0_75_75 = e1) % 20.01/5.17 | (898) all_0_75_75 = e0 % 20.01/5.17 | % 20.01/5.17 | Equations (898) can reduce 999 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (883) all_0_75_75 = e3 % 20.01/5.17 | (625) ~ (all_0_83_83 = e1) % 20.01/5.17 | % 20.01/5.17 | Equations (337) can reduce 625 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 20.01/5.17 | % 20.01/5.17 | Applying alpha-rule on (340) yields: % 20.01/5.17 | (341) all_0_68_68 = e0 % 20.01/5.17 | (342) all_0_73_73 = e0 % 20.01/5.17 | (343) all_0_78_78 = e0 % 20.01/5.17 | (344) all_0_83_83 = e0 % 20.01/5.17 | % 20.01/5.17 | Equations (343) can reduce 951 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (328) all_0_68_68 = e2 % 20.01/5.17 | (419) ~ (all_0_80_80 = e1) % 20.01/5.17 | % 20.01/5.17 | From (328) and (147) follows: % 20.01/5.17 | (2989) op(e2, e1) = all_0_6_6 % 20.01/5.17 | % 20.01/5.17 | From (328) and (59) follows: % 20.01/5.17 | (2990) op(e2, e0) = all_0_7_7 % 20.01/5.17 | % 20.01/5.17 | From (328) and (32) follows: % 20.01/5.17 | (3002) op(e1, e2) = all_0_36_36 % 20.01/5.17 | % 20.01/5.17 | From (328) and (72) follows: % 20.01/5.17 | (3004) op(e0, e2) = all_0_52_52 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (270), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (319), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (320), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 20.01/5.17 | % 20.01/5.17 | Applying alpha-rule on (321) yields: % 20.01/5.17 | (322) all_0_68_68 = e3 % 20.01/5.17 | (323) all_0_73_73 = e3 % 20.01/5.17 | (324) all_0_78_78 = e3 % 20.01/5.17 | (325) all_0_83_83 = e3 % 20.01/5.17 | % 20.01/5.17 | Combining equations (322,328) yields a new equation: % 20.01/5.17 | (1222) e3 = e2 % 20.01/5.17 | % 20.01/5.17 | Simplifying 1222 yields: % 20.01/5.17 | (1223) e3 = e2 % 20.01/5.17 | % 20.01/5.17 | Equations (1223) can reduce 129 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 20.01/5.17 | % 20.01/5.17 | Applying alpha-rule on (327) yields: % 20.01/5.17 | (328) all_0_68_68 = e2 % 20.01/5.17 | (329) all_0_73_73 = e2 % 20.01/5.17 | (330) all_0_78_78 = e2 % 20.01/5.17 | (331) all_0_83_83 = e2 % 20.01/5.17 | % 20.01/5.17 | Equations (329) can reduce 220 to: % 20.01/5.17 | (389) ~ (all_0_69_69 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (330) can reduce 19 to: % 20.01/5.17 | (296) ~ (all_0_70_70 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (331) can reduce 24 to: % 20.01/5.17 | (509) ~ (all_0_71_71 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (329) can reduce 106 to: % 20.01/5.17 | (428) ~ (all_0_72_72 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (331) can reduce 196 to: % 20.01/5.17 | (881) ~ (all_0_75_75 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (330) can reduce 109 to: % 20.01/5.17 | (357) ~ (all_0_76_76 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (330) can reduce 219 to: % 20.01/5.17 | (446) ~ (all_0_77_77 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (331) can reduce 250 to: % 20.01/5.17 | (297) ~ (all_0_79_79 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (331) can reduce 77 to: % 20.01/5.17 | (405) ~ (all_0_80_80 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (331) can reduce 6 to: % 20.01/5.17 | (391) ~ (all_0_81_81 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (331) can reduce 42 to: % 20.01/5.17 | (1358) ~ (all_0_82_82 = e2) % 20.01/5.17 | % 20.01/5.17 | From (330) and (181) follows: % 20.01/5.17 | (2962) op(e2, e0) = all_0_47_47 % 20.01/5.17 | % 20.01/5.17 | From (331) and (274) follows: % 20.01/5.17 | (2995) op(e2, e1) = all_0_66_66 % 20.01/5.17 | % 20.01/5.17 | From (330) and (233) follows: % 20.01/5.17 | (2963) op(e3, e2) = all_0_14_14 % 20.01/5.17 | % 20.01/5.17 | From (331) and (16) follows: % 20.01/5.17 | (2999) op(e3, e2) = all_0_19_19 % 20.01/5.17 | % 20.01/5.17 | From (331) and (3984) follows: % 20.01/5.17 | (4126) op(e2, all_0_79_79) = e2 % 20.01/5.17 | % 20.01/5.17 | From (329) and (207) follows: % 20.01/5.17 | (3003) op(e1, e2) = all_0_41_41 % 20.01/5.17 | % 20.01/5.17 | From (330) and (197) follows: % 20.01/5.17 | (2965) op(e0, e2) = all_0_62_62 % 20.01/5.17 | % 20.01/5.17 | From (331) and (272) follows: % 20.01/5.17 | (3006) op(e0, e2) = all_0_67_67 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (75), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (1251) ~ (all_0_68_68 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (328) can reduce 1251 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (328) all_0_68_68 = e2 % 20.01/5.17 | (349) ~ (all_0_76_76 = e0) % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (278), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (295) ~ (all_0_78_78 = e2) % 20.01/5.17 | % 20.01/5.17 | Equations (330) can reduce 295 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (330) all_0_78_78 = e2 % 20.01/5.17 | (1143) ~ (all_0_82_82 = e3) % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (123), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (1140) all_0_82_82 = e3 % 20.01/5.17 | % 20.01/5.17 | Equations (1140) can reduce 1143 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (1143) ~ (all_0_82_82 = e3) % 20.01/5.17 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (1144), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (1369) all_0_82_82 = e2 % 20.01/5.17 | % 20.01/5.17 | Equations (1369) can reduce 1358 to: % 20.01/5.17 | (326) $false % 20.01/5.17 | % 20.01/5.17 |-The branch is then unsatisfiable % 20.01/5.17 |-Branch two: % 20.01/5.17 | (1358) ~ (all_0_82_82 = e2) % 20.01/5.17 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (1372), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (1373) all_0_82_82 = e1 % 20.01/5.17 | % 20.01/5.17 | Equations (1373) can reduce 265 to: % 20.01/5.17 | (1171) ~ (all_0_70_70 = e1) % 20.01/5.17 | % 20.01/5.17 | From (1373) and (182) follows: % 20.01/5.17 | (4148) op(e1, e3) = all_0_60_60 % 20.01/5.17 | % 20.01/5.17 | From (1373) and (190) follows: % 20.01/5.17 | (4149) op(e1, e0) = all_0_63_63 % 20.01/5.17 | % 20.01/5.17 | From (1373) and (4) follows: % 20.01/5.17 | (4150) op(e2, e1) = all_0_34_34 % 20.01/5.17 | % 20.01/5.17 | From (1373) and (232) follows: % 20.01/5.17 | (3374) op(e0, e1) = all_0_66_66 % 20.01/5.17 | % 20.01/5.17 +-Applying beta-rule and splitting (35), into two cases. % 20.01/5.17 |-Branch one: % 20.01/5.17 | (1188) all_0_70_70 = e3 % 20.01/5.17 | % 20.01/5.17 | Equations (1188) can reduce 152 to: % 20.01/5.17 | (435) ~ (all_0_69_69 = e3) % 20.01/5.17 | % 20.01/5.17 | Equations (1188) can reduce 17 to: % 20.01/5.17 | (1190) ~ (all_0_71_71 = e3) % 20.01/5.17 | % 20.01/5.17 | Simplifying 1190 yields: % 20.01/5.17 | (613) ~ (all_0_71_71 = e3) % 20.01/5.17 | % 20.01/5.17 | From (1188) and (284) follows: % 20.01/5.17 | (4156) op(e3, e2) = all_0_13_13 % 20.01/5.17 | % 20.01/5.17 | From (1188) and (46) follows: % 20.01/5.17 | (3398) op(e3, e1) = all_0_14_14 % 20.01/5.17 | % 20.04/5.17 +-Applying beta-rule and splitting (101), into two cases. % 20.04/5.17 |-Branch one: % 20.04/5.17 | (396) all_0_69_69 = e3 % 20.04/5.17 | % 20.04/5.17 | Equations (396) can reduce 435 to: % 20.04/5.17 | (326) $false % 20.04/5.17 | % 20.04/5.17 |-The branch is then unsatisfiable % 20.04/5.17 |-Branch two: % 20.04/5.17 | (435) ~ (all_0_69_69 = e3) % 20.04/5.17 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 20.04/5.17 | % 20.04/5.17 +-Applying beta-rule and splitting (48), into two cases. % 20.04/5.17 |-Branch one: % 20.04/5.17 | (529) all_0_71_71 = e3 % 20.04/5.17 | % 20.04/5.17 | Equations (529) can reduce 613 to: % 20.04/5.17 | (326) $false % 20.04/5.17 | % 20.04/5.17 |-The branch is then unsatisfiable % 20.04/5.17 |-Branch two: % 20.04/5.17 | (613) ~ (all_0_71_71 = e3) % 20.04/5.17 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 20.04/5.17 | % 20.04/5.17 +-Applying beta-rule and splitting (436), into two cases. % 20.04/5.17 |-Branch one: % 20.04/5.17 | (437) all_0_69_69 = e2 % 20.04/5.17 | % 20.04/5.17 | Equations (437) can reduce 389 to: % 20.04/5.17 | (326) $false % 20.04/5.17 | % 20.04/5.17 |-The branch is then unsatisfiable % 20.04/5.17 |-Branch two: % 20.04/5.17 | (389) ~ (all_0_69_69 = e2) % 20.04/5.17 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 20.04/5.17 | % 20.04/5.18 +-Applying beta-rule and splitting (440), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (441) all_0_69_69 = e1 % 20.04/5.18 | % 20.04/5.18 | Equations (441) can reduce 153 to: % 20.04/5.18 | (4171) ~ (all_0_71_71 = e1) % 20.04/5.18 | % 20.04/5.18 | Simplifying 4171 yields: % 20.04/5.18 | (294) ~ (all_0_71_71 = e1) % 20.04/5.18 | % 20.04/5.18 | Equations (441) can reduce 118 to: % 20.04/5.18 | (2235) ~ (all_0_81_81 = e1) % 20.04/5.18 | % 20.04/5.18 | Simplifying 2235 yields: % 20.04/5.18 | (425) ~ (all_0_81_81 = e1) % 20.04/5.18 | % 20.04/5.18 | From (441) and (194) follows: % 20.04/5.18 | (4175) op(e1, e0) = all_0_11_11 % 20.04/5.18 | % 20.04/5.18 | From (441) and (103) follows: % 20.04/5.18 | (4176) op(e3, e1) = all_0_5_5 % 20.04/5.18 | % 20.04/5.18 | From (441) and (80) follows: % 20.04/5.18 | (4177) op(e2, e1) = all_0_21_21 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (614), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (615) all_0_71_71 = e2 % 20.04/5.18 | % 20.04/5.18 | Equations (615) can reduce 509 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (509) ~ (all_0_71_71 = e2) % 20.04/5.18 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (618), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (619) all_0_71_71 = e1 % 20.04/5.18 | % 20.04/5.18 | Equations (619) can reduce 294 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (294) ~ (all_0_71_71 = e1) % 20.04/5.18 | (622) all_0_71_71 = e0 % 20.04/5.18 | % 20.04/5.18 | Equations (622) can reduce 251 to: % 20.04/5.18 | (2020) ~ (all_0_75_75 = e0) % 20.04/5.18 | % 20.04/5.18 | Simplifying 2020 yields: % 20.04/5.18 | (999) ~ (all_0_75_75 = e0) % 20.04/5.18 | % 20.04/5.18 | Equations (622) can reduce 110 to: % 20.04/5.18 | (899) ~ (all_0_79_79 = e0) % 20.04/5.18 | % 20.04/5.18 | Simplifying 899 yields: % 20.04/5.18 | (351) ~ (all_0_79_79 = e0) % 20.04/5.18 | % 20.04/5.18 | From (622) and (58) follows: % 20.04/5.18 | (4190) op(e0, e1) = all_0_18_18 % 20.04/5.18 | % 20.04/5.18 | From (622) and (201) follows: % 20.04/5.18 | (4191) op(e0, e0) = all_0_19_19 % 20.04/5.18 | % 20.04/5.18 | From (622) and (280) follows: % 20.04/5.18 | (3734) op(e3, e0) = all_0_7_7 % 20.04/5.18 | % 20.04/5.18 | From (622) and (69) follows: % 20.04/5.18 | (4193) op(e2, e0) = all_0_23_23 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (239), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (367) all_0_79_79 = e3 % 20.04/5.18 | % 20.04/5.18 | Equations (367) can reduce 291 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (291) ~ (all_0_79_79 = e3) % 20.04/5.18 | (370) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (370), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (371) all_0_79_79 = e2 % 20.04/5.18 | % 20.04/5.18 | Equations (371) can reduce 297 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (297) ~ (all_0_79_79 = e2) % 20.04/5.18 | (374) all_0_79_79 = e1 | all_0_79_79 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (374), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (375) all_0_79_79 = e1 % 20.04/5.18 | % 20.04/5.18 | Equations (375) can reduce 221 to: % 20.04/5.18 | (859) ~ (all_0_75_75 = e1) % 20.04/5.18 | % 20.04/5.18 | Equations (375) can reduce 264 to: % 20.04/5.18 | (376) ~ (all_0_76_76 = e1) % 20.04/5.18 | % 20.04/5.18 | Equations (375) can reduce 5 to: % 20.04/5.18 | (377) ~ (all_0_77_77 = e1) % 20.04/5.18 | % 20.04/5.18 | From (375) and (3982) follows: % 20.04/5.18 | (4206) op(all_0_77_77, e1) = e1 % 20.04/5.18 | % 20.04/5.18 | From (375) and (193) follows: % 20.04/5.18 | (4207) op(e1, e3) = all_0_48_48 % 20.04/5.18 | % 20.04/5.18 | From (375) and (144) follows: % 20.04/5.18 | (4208) op(e1, e2) = all_0_49_49 % 20.04/5.18 | % 20.04/5.18 | From (375) and (217) follows: % 20.04/5.18 | (3380) op(e1, e0) = all_0_51_51 % 20.04/5.18 | % 20.04/5.18 | From (375) and (134) follows: % 20.04/5.18 | (4210) op(e3, e1) = all_0_15_15 % 20.04/5.18 | % 20.04/5.18 | From (375) and (4126) follows: % 20.04/5.18 | (4211) op(e2, e1) = e2 % 20.04/5.18 | % 20.04/5.18 | From (375) and (223) follows: % 20.04/5.18 | (4212) op(e0, e1) = all_0_63_63 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (112), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (378) all_0_76_76 = e3 % 20.04/5.18 | % 20.04/5.18 | Equations (378) can reduce 228 to: % 20.04/5.18 | (380) ~ (all_0_77_77 = e3) % 20.04/5.18 | % 20.04/5.18 | Simplifying 380 yields: % 20.04/5.18 | (365) ~ (all_0_77_77 = e3) % 20.04/5.18 | % 20.04/5.18 | Equations (378) can reduce 258 to: % 20.04/5.18 | (382) ~ (all_0_80_80 = e3) % 20.04/5.18 | % 20.04/5.18 | Simplifying 382 yields: % 20.04/5.18 | (383) ~ (all_0_80_80 = e3) % 20.04/5.18 | % 20.04/5.18 | From (378) and (13) follows: % 20.04/5.18 | (4218) op(e3, e3) = all_0_36_36 % 20.04/5.18 | % 20.04/5.18 | From (378) and (191) follows: % 20.04/5.18 | (3435) op(e3, e1) = all_0_38_38 % 20.04/5.18 | % 20.04/5.18 | From (378) and (132) follows: % 20.04/5.18 | (4220) op(e3, e3) = all_0_12_12 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (238), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (406) all_0_80_80 = e3 % 20.04/5.18 | % 20.04/5.18 | Equations (406) can reduce 383 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (383) ~ (all_0_80_80 = e3) % 20.04/5.18 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (253), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (883) all_0_75_75 = e3 % 20.04/5.18 | % 20.04/5.18 | Equations (883) can reduce 88 to: % 20.04/5.18 | (379) ~ (all_0_72_72 = e3) % 20.04/5.18 | % 20.04/5.18 | From (883) and (120) follows: % 20.04/5.18 | (3412) op(e3, e1) = all_0_34_34 % 20.04/5.18 | % 20.04/5.18 | From (883) and (54) follows: % 20.04/5.18 | (4228) op(e0, e3) = all_0_59_59 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (86), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (392) all_0_72_72 = e3 % 20.04/5.18 | % 20.04/5.18 | Equations (392) can reduce 379 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (379) ~ (all_0_72_72 = e3) % 20.04/5.18 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (237), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (384) all_0_77_77 = e3 % 20.04/5.18 | % 20.04/5.18 | Equations (384) can reduce 365 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (365) ~ (all_0_77_77 = e3) % 20.04/5.18 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (387), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (388) all_0_77_77 = e2 % 20.04/5.18 | % 20.04/5.18 | Equations (388) can reduce 446 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (446) ~ (all_0_77_77 = e2) % 20.04/5.18 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (447), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (448) all_0_77_77 = e1 % 20.04/5.18 | % 20.04/5.18 | Equations (448) can reduce 377 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (377) ~ (all_0_77_77 = e1) % 20.04/5.18 | (451) all_0_77_77 = e0 % 20.04/5.18 | % 20.04/5.18 | Equations (451) can reduce 11 to: % 20.04/5.18 | (4245) ~ (all_0_81_81 = e0) % 20.04/5.18 | % 20.04/5.18 | Simplifying 4245 yields: % 20.04/5.18 | (353) ~ (all_0_81_81 = e0) % 20.04/5.18 | % 20.04/5.18 | From (451) and (290) follows: % 20.04/5.18 | (4247) op(e0, e3) = all_0_40_40 % 20.04/5.18 | % 20.04/5.18 | From (451) and (222) follows: % 20.04/5.18 | (4248) op(e0, e2) = all_0_41_41 % 20.04/5.18 | % 20.04/5.18 | From (451) and (4206) follows: % 20.04/5.18 | (4249) op(e0, e1) = e1 % 20.04/5.18 | % 20.04/5.18 | From (451) and (198) follows: % 20.04/5.18 | (4250) op(e0, e0) = all_0_43_43 % 20.04/5.18 | % 20.04/5.18 | From (451) and (51) follows: % 20.04/5.18 | (4251) op(e3, e0) = all_0_13_13 % 20.04/5.18 | % 20.04/5.18 | From (451) and (3983) follows: % 20.04/5.18 | (4252) op(e2, e0) = all_0_81_81 % 20.04/5.18 | % 20.04/5.18 | From (451) and (185) follows: % 20.04/5.18 | (4253) op(e1, e0) = all_0_45_45 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (395), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (403) all_0_72_72 = e2 % 20.04/5.18 | % 20.04/5.18 | Equations (403) can reduce 428 to: % 20.04/5.18 | (326) $false % 20.04/5.18 | % 20.04/5.18 |-The branch is then unsatisfiable % 20.04/5.18 |-Branch two: % 20.04/5.18 | (428) ~ (all_0_72_72 = e2) % 20.04/5.18 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 20.04/5.18 | % 20.04/5.18 +-Applying beta-rule and splitting (139), into two cases. % 20.04/5.18 |-Branch one: % 20.04/5.18 | (399) all_0_81_81 = e3 % 20.04/5.18 | % 20.04/5.18 | From (399) and (70) follows: % 20.04/5.18 | (4259) op(e3, e3) = all_0_56_56 % 20.04/5.18 | % 20.04/5.18 | From (399) and (18) follows: % 20.04/5.19 | (3478) op(e3, e0) = all_0_59_59 % 20.04/5.19 | % 20.04/5.19 | From (399) and (78) follows: % 20.04/5.19 | (4261) op(e3, e3) = all_0_17_17 % 20.04/5.19 | % 20.04/5.19 | From (399) and (4252) follows: % 20.04/5.19 | (4262) op(e2, e0) = e3 % 20.04/5.19 | % 20.04/5.19 | From (399) and (74) follows: % 20.04/5.19 | (4263) op(e1, e3) = all_0_49_49 % 20.04/5.19 | % 20.04/5.19 +-Applying beta-rule and splitting (429), into two cases. % 20.04/5.19 |-Branch one: % 20.04/5.19 | (430) all_0_72_72 = e1 % 20.04/5.19 | % 20.04/5.19 | Equations (430) can reduce 171 to: % 20.04/5.19 | (4265) ~ (all_0_80_80 = e1) % 20.04/5.19 | % 20.04/5.19 | Simplifying 4265 yields: % 20.04/5.19 | (419) ~ (all_0_80_80 = e1) % 20.04/5.19 | % 20.04/5.19 | From (430) and (65) follows: % 20.04/5.19 | (4267) op(e1, e2) = all_0_21_21 % 20.04/5.19 | % 20.04/5.19 | From (430) and (138) follows: % 20.04/5.19 | (4268) op(e1, e0) = all_0_23_23 % 20.04/5.19 | % 20.04/5.19 +-Applying beta-rule and splitting (409), into two cases. % 20.04/5.19 |-Branch one: % 20.04/5.19 | (414) all_0_80_80 = e2 % 20.04/5.19 | % 20.04/5.19 | Equations (414) can reduce 405 to: % 20.04/5.19 | (326) $false % 20.04/5.19 | % 20.04/5.19 |-The branch is then unsatisfiable % 20.04/5.19 |-Branch two: % 20.04/5.19 | (405) ~ (all_0_80_80 = e2) % 20.04/5.19 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 20.04/5.19 | % 20.04/5.19 +-Applying beta-rule and splitting (417), into two cases. % 20.04/5.19 |-Branch one: % 20.04/5.19 | (420) all_0_80_80 = e1 % 20.04/5.19 | % 20.04/5.19 | Equations (420) can reduce 419 to: % 20.04/5.19 | (326) $false % 20.04/5.19 | % 20.04/5.19 |-The branch is then unsatisfiable % 20.04/5.19 |-Branch two: % 20.04/5.19 | (419) ~ (all_0_80_80 = e1) % 20.04/5.19 | (423) all_0_80_80 = e0 % 20.04/5.19 | % 20.04/5.19 | Equations (423) can reduce 419 to: % 20.04/5.19 | (1213) ~ (e1 = e0) % 20.04/5.19 | % 20.04/5.19 | Simplifying 1213 yields: % 20.04/5.19 | (71) ~ (e1 = e0) % 20.04/5.19 | % 20.04/5.19 | From (423) and (81) follows: % 20.04/5.19 | (3753) op(e0, e3) = all_0_52_52 % 20.04/5.19 | % 20.04/5.19 | From (423) and (104) follows: % 20.04/5.19 | (4280) op(e0, e2) = all_0_53_53 % 20.04/5.19 | % 20.04/5.19 | From (423) and (180) follows: % 20.04/5.19 | (4281) op(e0, e1) = all_0_54_54 % 20.04/5.19 | % 20.04/5.19 | From (423) and (84) follows: % 20.04/5.19 | (4282) op(e3, e0) = all_0_16_16 % 20.04/5.19 | % 20.04/5.19 | From (423) and (170) follows: % 20.04/5.19 | (4283) op(e2, e0) = all_0_32_32 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e3, all_0_17_17, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_17_17, yields: % 20.04/5.19 | (4284) all_0_12_12 = all_0_17_17 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e3, all_0_36_36, all_0_17_17 and discharging atoms op(e3, e3) = all_0_17_17, op(e3, e3) = all_0_36_36, yields: % 20.04/5.19 | (4285) all_0_17_17 = all_0_36_36 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e3, all_0_56_56, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_56_56, yields: % 20.04/5.19 | (4286) all_0_12_12 = all_0_56_56 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e2, all_0_14_14, all_0_13_13 and discharging atoms op(e3, e2) = all_0_13_13, op(e3, e2) = all_0_14_14, yields: % 20.04/5.19 | (3500) all_0_13_13 = all_0_14_14 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e2, all_0_19_19, all_0_13_13 and discharging atoms op(e3, e2) = all_0_13_13, op(e3, e2) = all_0_19_19, yields: % 20.04/5.19 | (4288) all_0_13_13 = all_0_19_19 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e1, all_0_14_14, all_0_5_5 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = all_0_14_14, yields: % 20.04/5.19 | (4289) all_0_5_5 = all_0_14_14 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e1, all_0_15_15, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_15_15, yields: % 20.04/5.19 | (4290) all_0_14_14 = all_0_15_15 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e1, all_0_34_34, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_34_34, yields: % 20.04/5.19 | (3502) all_0_14_14 = all_0_34_34 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e1, all_0_38_38, all_0_5_5 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = all_0_38_38, yields: % 20.04/5.19 | (4292) all_0_5_5 = all_0_38_38 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e0, all_0_16_16, all_0_13_13 and discharging atoms op(e3, e0) = all_0_13_13, op(e3, e0) = all_0_16_16, yields: % 20.04/5.19 | (3548) all_0_13_13 = all_0_16_16 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e3, e0, all_0_59_59, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = all_0_59_59, yields: % 20.04/5.19 | (4294) all_0_7_7 = all_0_59_59 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e1, all_0_34_34, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = all_0_34_34, yields: % 20.04/5.19 | (1858) all_0_6_6 = all_0_34_34 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e1, all_0_34_34, all_0_21_21 and discharging atoms op(e2, e1) = all_0_21_21, op(e2, e1) = all_0_34_34, yields: % 20.04/5.19 | (4296) all_0_21_21 = all_0_34_34 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e1, all_0_66_66, e0 and discharging atoms op(e2, e1) = all_0_66_66, op(e2, e1) = e0, yields: % 20.04/5.19 | (2582) all_0_66_66 = e0 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e1, e2, all_0_6_6 and discharging atoms op(e2, e1) = all_0_6_6, op(e2, e1) = e2, yields: % 20.04/5.19 | (3531) all_0_6_6 = e2 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e0, all_0_23_23, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_23_23, yields: % 20.04/5.19 | (4299) all_0_7_7 = all_0_23_23 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e0, all_0_32_32, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_32_32, yields: % 20.04/5.19 | (4300) all_0_7_7 = all_0_32_32 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e0, all_0_47_47, all_0_7_7 and discharging atoms op(e2, e0) = all_0_7_7, op(e2, e0) = all_0_47_47, yields: % 20.04/5.19 | (4301) all_0_7_7 = all_0_47_47 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e2, e0, e3, all_0_47_47 and discharging atoms op(e2, e0) = all_0_47_47, op(e2, e0) = e3, yields: % 20.04/5.19 | (4302) all_0_47_47 = e3 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e3, all_0_49_49, all_0_48_48 and discharging atoms op(e1, e3) = all_0_48_48, op(e1, e3) = all_0_49_49, yields: % 20.04/5.19 | (4303) all_0_48_48 = all_0_49_49 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e3, all_0_60_60, all_0_48_48 and discharging atoms op(e1, e3) = all_0_48_48, op(e1, e3) = all_0_60_60, yields: % 20.04/5.19 | (4304) all_0_48_48 = all_0_60_60 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e2, all_0_41_41, all_0_21_21 and discharging atoms op(e1, e2) = all_0_21_21, op(e1, e2) = all_0_41_41, yields: % 20.04/5.19 | (4305) all_0_21_21 = all_0_41_41 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e2, all_0_41_41, all_0_36_36 and discharging atoms op(e1, e2) = all_0_36_36, op(e1, e2) = all_0_41_41, yields: % 20.04/5.19 | (2575) all_0_36_36 = all_0_41_41 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e2, all_0_49_49, all_0_21_21 and discharging atoms op(e1, e2) = all_0_21_21, op(e1, e2) = all_0_49_49, yields: % 20.04/5.19 | (4307) all_0_21_21 = all_0_49_49 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e0, all_0_23_23, all_0_11_11 and discharging atoms op(e1, e0) = all_0_11_11, op(e1, e0) = all_0_23_23, yields: % 20.04/5.19 | (4308) all_0_11_11 = all_0_23_23 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e0, all_0_45_45, all_0_11_11 and discharging atoms op(e1, e0) = all_0_11_11, op(e1, e0) = all_0_45_45, yields: % 20.04/5.19 | (4309) all_0_11_11 = all_0_45_45 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e0, all_0_51_51, all_0_23_23 and discharging atoms op(e1, e0) = all_0_23_23, op(e1, e0) = all_0_51_51, yields: % 20.04/5.19 | (4310) all_0_23_23 = all_0_51_51 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e1, e0, all_0_63_63, all_0_23_23 and discharging atoms op(e1, e0) = all_0_23_23, op(e1, e0) = all_0_63_63, yields: % 20.04/5.19 | (4311) all_0_23_23 = all_0_63_63 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e3, all_0_52_52, all_0_40_40 and discharging atoms op(e0, e3) = all_0_40_40, op(e0, e3) = all_0_52_52, yields: % 20.04/5.19 | (4312) all_0_40_40 = all_0_52_52 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e3, all_0_59_59, all_0_40_40 and discharging atoms op(e0, e3) = all_0_40_40, op(e0, e3) = all_0_59_59, yields: % 20.04/5.19 | (4313) all_0_40_40 = all_0_59_59 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e2, all_0_53_53, all_0_41_41 and discharging atoms op(e0, e2) = all_0_41_41, op(e0, e2) = all_0_53_53, yields: % 20.04/5.19 | (3566) all_0_41_41 = all_0_53_53 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e2, all_0_53_53, all_0_52_52 and discharging atoms op(e0, e2) = all_0_52_52, op(e0, e2) = all_0_53_53, yields: % 20.04/5.19 | (4315) all_0_52_52 = all_0_53_53 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e2, all_0_62_62, all_0_53_53 and discharging atoms op(e0, e2) = all_0_53_53, op(e0, e2) = all_0_62_62, yields: % 20.04/5.19 | (4316) all_0_53_53 = all_0_62_62 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e2, all_0_67_67, all_0_52_52 and discharging atoms op(e0, e2) = all_0_52_52, op(e0, e2) = all_0_67_67, yields: % 20.04/5.19 | (4317) all_0_52_52 = all_0_67_67 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e1, all_0_54_54, all_0_18_18 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = all_0_54_54, yields: % 20.04/5.19 | (4318) all_0_18_18 = all_0_54_54 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e1, all_0_63_63, all_0_54_54 and discharging atoms op(e0, e1) = all_0_54_54, op(e0, e1) = all_0_63_63, yields: % 20.04/5.19 | (4319) all_0_54_54 = all_0_63_63 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e1, all_0_66_66, all_0_63_63 and discharging atoms op(e0, e1) = all_0_63_63, op(e0, e1) = all_0_66_66, yields: % 20.04/5.19 | (4320) all_0_63_63 = all_0_66_66 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e1, e1, all_0_18_18 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = e1, yields: % 20.04/5.19 | (4321) all_0_18_18 = e1 % 20.04/5.19 | % 20.04/5.19 | Instantiating formula (218) with e0, e0, all_0_43_43, all_0_19_19 and discharging atoms op(e0, e0) = all_0_19_19, op(e0, e0) = all_0_43_43, yields: % 20.04/5.20 | (4322) all_0_19_19 = all_0_43_43 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4289,4292) yields a new equation: % 20.04/5.20 | (4323) all_0_14_14 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4323 yields: % 20.04/5.20 | (4324) all_0_14_14 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Combining equations (1858,3531) yields a new equation: % 20.04/5.20 | (4325) all_0_34_34 = e2 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4325 yields: % 20.04/5.20 | (4326) all_0_34_34 = e2 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4301,4299) yields a new equation: % 20.04/5.20 | (4327) all_0_23_23 = all_0_47_47 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4294,4299) yields a new equation: % 20.04/5.20 | (4328) all_0_23_23 = all_0_59_59 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4300,4299) yields a new equation: % 20.04/5.20 | (4329) all_0_23_23 = all_0_32_32 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4308,4309) yields a new equation: % 20.04/5.20 | (4330) all_0_23_23 = all_0_45_45 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4330 yields: % 20.04/5.20 | (4331) all_0_23_23 = all_0_45_45 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4284,4286) yields a new equation: % 20.04/5.20 | (4332) all_0_17_17 = all_0_56_56 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4332 yields: % 20.04/5.20 | (4333) all_0_17_17 = all_0_56_56 % 20.04/5.20 | % 20.04/5.20 | Combining equations (3500,3548) yields a new equation: % 20.04/5.20 | (3549) all_0_14_14 = all_0_16_16 % 20.04/5.20 | % 20.04/5.20 | Simplifying 3549 yields: % 20.04/5.20 | (3550) all_0_14_14 = all_0_16_16 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4288,3548) yields a new equation: % 20.04/5.20 | (4336) all_0_16_16 = all_0_19_19 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4324,4290) yields a new equation: % 20.04/5.20 | (4337) all_0_15_15 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Combining equations (3550,4290) yields a new equation: % 20.04/5.20 | (4338) all_0_15_15 = all_0_16_16 % 20.04/5.20 | % 20.04/5.20 | Combining equations (3502,4290) yields a new equation: % 20.04/5.20 | (4339) all_0_15_15 = all_0_34_34 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4338,4337) yields a new equation: % 20.04/5.20 | (4340) all_0_16_16 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4340 yields: % 20.04/5.20 | (4341) all_0_16_16 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4339,4337) yields a new equation: % 20.04/5.20 | (4342) all_0_34_34 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4342 yields: % 20.04/5.20 | (3503) all_0_34_34 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4341,4336) yields a new equation: % 20.04/5.20 | (4344) all_0_19_19 = all_0_38_38 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4285,4333) yields a new equation: % 20.04/5.20 | (4345) all_0_36_36 = all_0_56_56 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4345 yields: % 20.04/5.20 | (4346) all_0_36_36 = all_0_56_56 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4318,4321) yields a new equation: % 20.04/5.20 | (4347) all_0_54_54 = e1 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4347 yields: % 20.04/5.20 | (3523) all_0_54_54 = e1 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4344,4322) yields a new equation: % 20.04/5.20 | (4349) all_0_38_38 = all_0_43_43 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4349 yields: % 20.04/5.20 | (4350) all_0_38_38 = all_0_43_43 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4305,4307) yields a new equation: % 20.04/5.20 | (4351) all_0_41_41 = all_0_49_49 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4351 yields: % 20.04/5.20 | (4352) all_0_41_41 = all_0_49_49 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4296,4307) yields a new equation: % 20.04/5.20 | (4353) all_0_34_34 = all_0_49_49 % 20.04/5.20 | % 20.04/5.20 | Simplifying 4353 yields: % 20.04/5.20 | (4354) all_0_34_34 = all_0_49_49 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4327,4329) yields a new equation: % 20.04/5.20 | (4355) all_0_32_32 = all_0_47_47 % 20.04/5.20 | % 20.04/5.20 | Combining equations (4311,4329) yields a new equation: % 20.04/5.20 | (4356) all_0_32_32 = all_0_63_63 % 20.04/5.20 | % 20.04/5.21 | Combining equations (4310,4329) yields a new equation: % 20.04/5.21 | (4357) all_0_32_32 = all_0_51_51 % 20.04/5.21 | % 20.16/5.21 | Combining equations (4328,4329) yields a new equation: % 20.16/5.21 | (4358) all_0_32_32 = all_0_59_59 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4331,4329) yields a new equation: % 20.16/5.21 | (4359) all_0_32_32 = all_0_45_45 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4357,4359) yields a new equation: % 20.16/5.21 | (4360) all_0_45_45 = all_0_51_51 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4355,4359) yields a new equation: % 20.16/5.21 | (4361) all_0_45_45 = all_0_47_47 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4356,4359) yields a new equation: % 20.16/5.21 | (4362) all_0_45_45 = all_0_63_63 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4358,4359) yields a new equation: % 20.16/5.21 | (4363) all_0_45_45 = all_0_59_59 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4354,3503) yields a new equation: % 20.16/5.21 | (4364) all_0_38_38 = all_0_49_49 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4326,3503) yields a new equation: % 20.16/5.21 | (4365) all_0_38_38 = e2 % 20.16/5.21 | % 20.16/5.21 | Combining equations (2575,4346) yields a new equation: % 20.16/5.21 | (4366) all_0_41_41 = all_0_56_56 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4366 yields: % 20.16/5.21 | (4367) all_0_41_41 = all_0_56_56 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4364,4350) yields a new equation: % 20.16/5.21 | (4368) all_0_43_43 = all_0_49_49 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4365,4350) yields a new equation: % 20.16/5.21 | (4369) all_0_43_43 = e2 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4313,4312) yields a new equation: % 20.16/5.21 | (4370) all_0_52_52 = all_0_59_59 % 20.16/5.21 | % 20.16/5.21 | Combining equations (3566,4367) yields a new equation: % 20.16/5.21 | (4371) all_0_53_53 = all_0_56_56 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4371 yields: % 20.16/5.21 | (4372) all_0_53_53 = all_0_56_56 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4352,4367) yields a new equation: % 20.16/5.21 | (4373) all_0_49_49 = all_0_56_56 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4373 yields: % 20.16/5.21 | (4374) all_0_49_49 = all_0_56_56 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4368,4369) yields a new equation: % 20.16/5.21 | (4375) all_0_49_49 = e2 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4375 yields: % 20.16/5.21 | (4376) all_0_49_49 = e2 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4363,4360) yields a new equation: % 20.16/5.21 | (4377) all_0_51_51 = all_0_59_59 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4362,4360) yields a new equation: % 20.16/5.21 | (4378) all_0_51_51 = all_0_63_63 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4361,4360) yields a new equation: % 20.16/5.21 | (4379) all_0_47_47 = all_0_51_51 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4379 yields: % 20.16/5.21 | (4380) all_0_47_47 = all_0_51_51 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4380,4302) yields a new equation: % 20.16/5.21 | (4381) all_0_51_51 = e3 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4381 yields: % 20.16/5.21 | (4382) all_0_51_51 = e3 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4303,4304) yields a new equation: % 20.16/5.21 | (4383) all_0_49_49 = all_0_60_60 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4383 yields: % 20.16/5.21 | (4384) all_0_49_49 = all_0_60_60 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4374,4384) yields a new equation: % 20.16/5.21 | (4385) all_0_56_56 = all_0_60_60 % 20.16/5.21 | % 20.16/5.21 | Simplifying 4385 yields: % 20.16/5.21 | (4386) all_0_56_56 = all_0_60_60 % 20.16/5.21 | % 20.16/5.21 | Combining equations (4376,4384) yields a new equation: % 20.16/5.21 | (4387) all_0_60_60 = e2 % 20.16/5.21 | % 20.16/5.22 | Combining equations (4377,4382) yields a new equation: % 20.16/5.22 | (4388) all_0_59_59 = e3 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4388 yields: % 20.16/5.22 | (4389) all_0_59_59 = e3 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4378,4382) yields a new equation: % 20.16/5.22 | (4390) all_0_63_63 = e3 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4390 yields: % 20.16/5.22 | (4391) all_0_63_63 = e3 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4315,4317) yields a new equation: % 20.16/5.22 | (4392) all_0_53_53 = all_0_67_67 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4392 yields: % 20.16/5.22 | (4393) all_0_53_53 = all_0_67_67 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4370,4317) yields a new equation: % 20.16/5.22 | (4394) all_0_59_59 = all_0_67_67 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4394 yields: % 20.16/5.22 | (4395) all_0_59_59 = all_0_67_67 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4316,4372) yields a new equation: % 20.16/5.22 | (4396) all_0_56_56 = all_0_62_62 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4393,4372) yields a new equation: % 20.16/5.22 | (4397) all_0_56_56 = all_0_67_67 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4319,3523) yields a new equation: % 20.16/5.22 | (4398) all_0_63_63 = e1 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4398 yields: % 20.16/5.22 | (4399) all_0_63_63 = e1 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4386,4396) yields a new equation: % 20.16/5.22 | (3602) all_0_60_60 = all_0_62_62 % 20.16/5.22 | % 20.16/5.22 | Simplifying 3602 yields: % 20.16/5.22 | (3603) all_0_60_60 = all_0_62_62 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4397,4396) yields a new equation: % 20.16/5.22 | (1676) all_0_62_62 = all_0_67_67 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4389,4395) yields a new equation: % 20.16/5.22 | (2584) all_0_67_67 = e3 % 20.16/5.22 | % 20.16/5.22 | Combining equations (3603,4387) yields a new equation: % 20.16/5.22 | (4404) all_0_62_62 = e2 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4404 yields: % 20.16/5.22 | (4405) all_0_62_62 = e2 % 20.16/5.22 | % 20.16/5.22 | Combining equations (1676,4405) yields a new equation: % 20.16/5.22 | (4406) all_0_67_67 = e2 % 20.16/5.22 | % 20.16/5.22 | Simplifying 4406 yields: % 20.16/5.22 | (4407) all_0_67_67 = e2 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4391,4320) yields a new equation: % 20.16/5.22 | (2588) all_0_66_66 = e3 % 20.16/5.22 | % 20.16/5.22 | Combining equations (4399,4320) yields a new equation: % 20.16/5.22 | (1677) all_0_66_66 = e1 % 20.16/5.22 | % 20.16/5.22 | Combining equations (2582,2588) yields a new equation: % 20.16/5.22 | (1225) e3 = e0 % 20.16/5.22 | % 20.16/5.22 | Combining equations (1677,2588) yields a new equation: % 20.16/5.22 | (486) e3 = e1 % 20.16/5.22 | % 20.16/5.22 | Combining equations (2584,4407) yields a new equation: % 20.16/5.22 | (1222) e3 = e2 % 20.16/5.22 | % 20.16/5.22 | Simplifying 1222 yields: % 20.16/5.22 | (1223) e3 = e2 % 20.16/5.22 | % 20.16/5.22 | Combining equations (486,1223) yields a new equation: % 20.16/5.22 | (494) e2 = e1 % 20.16/5.22 | % 20.16/5.22 | Combining equations (1225,1223) yields a new equation: % 20.16/5.22 | (1227) e2 = e0 % 20.16/5.22 | % 20.16/5.22 | Combining equations (1227,494) yields a new equation: % 20.16/5.22 | (632) e1 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (632) can reduce 71 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (361) ~ (all_0_72_72 = e1) % 20.16/5.22 | (433) all_0_72_72 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (433) can reduce 348 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (398) ~ (all_0_81_81 = e3) % 20.16/5.22 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 20.16/5.22 | % 20.16/5.22 +-Applying beta-rule and splitting (402), into two cases. % 20.16/5.22 |-Branch one: % 20.16/5.22 | (410) all_0_81_81 = e2 % 20.16/5.22 | % 20.16/5.22 | Equations (410) can reduce 391 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (391) ~ (all_0_81_81 = e2) % 20.16/5.22 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 20.16/5.22 | % 20.16/5.22 +-Applying beta-rule and splitting (413), into two cases. % 20.16/5.22 |-Branch one: % 20.16/5.22 | (418) all_0_81_81 = e1 % 20.16/5.22 | % 20.16/5.22 | Equations (418) can reduce 425 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (425) ~ (all_0_81_81 = e1) % 20.16/5.22 | (426) all_0_81_81 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (426) can reduce 353 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (877) ~ (all_0_75_75 = e3) % 20.16/5.22 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 20.16/5.22 | % 20.16/5.22 +-Applying beta-rule and splitting (886), into two cases. % 20.16/5.22 |-Branch one: % 20.16/5.22 | (887) all_0_75_75 = e2 % 20.16/5.22 | % 20.16/5.22 | Equations (887) can reduce 881 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (881) ~ (all_0_75_75 = e2) % 20.16/5.22 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 20.16/5.22 | % 20.16/5.22 +-Applying beta-rule and splitting (890), into two cases. % 20.16/5.22 |-Branch one: % 20.16/5.22 | (895) all_0_75_75 = e1 % 20.16/5.22 | % 20.16/5.22 | Equations (895) can reduce 859 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (859) ~ (all_0_75_75 = e1) % 20.16/5.22 | (898) all_0_75_75 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (898) can reduce 999 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (453) ~ (all_0_76_76 = e3) % 20.16/5.22 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 20.16/5.22 | % 20.16/5.22 +-Applying beta-rule and splitting (454), into two cases. % 20.16/5.22 |-Branch one: % 20.16/5.22 | (455) all_0_76_76 = e2 % 20.16/5.22 | % 20.16/5.22 | Equations (455) can reduce 357 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (357) ~ (all_0_76_76 = e2) % 20.16/5.22 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 20.16/5.22 | % 20.16/5.22 +-Applying beta-rule and splitting (458), into two cases. % 20.16/5.22 |-Branch one: % 20.16/5.22 | (459) all_0_76_76 = e1 % 20.16/5.22 | % 20.16/5.22 | Equations (459) can reduce 376 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (376) ~ (all_0_76_76 = e1) % 20.16/5.22 | (462) all_0_76_76 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (462) can reduce 349 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (464) ~ (all_0_79_79 = e1) % 20.16/5.22 | (465) all_0_79_79 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (465) can reduce 351 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.22 | (366) ~ (all_0_69_69 = e1) % 20.16/5.22 | (444) all_0_69_69 = e0 % 20.16/5.22 | % 20.16/5.22 | Equations (444) can reduce 298 to: % 20.16/5.22 | (326) $false % 20.16/5.22 | % 20.16/5.22 |-The branch is then unsatisfiable % 20.16/5.22 |-Branch two: % 20.16/5.23 | (1258) ~ (all_0_70_70 = e3) % 20.16/5.23 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 20.16/5.23 | % 20.16/5.23 +-Applying beta-rule and splitting (1259), into two cases. % 20.16/5.23 |-Branch one: % 20.16/5.23 | (1260) all_0_70_70 = e2 % 20.16/5.23 | % 20.16/5.23 | Equations (1260) can reduce 296 to: % 20.16/5.23 | (326) $false % 20.16/5.23 | % 20.16/5.23 |-The branch is then unsatisfiable % 20.16/5.23 |-Branch two: % 20.16/5.23 | (296) ~ (all_0_70_70 = e2) % 20.16/5.23 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 20.16/5.23 | % 20.16/5.23 +-Applying beta-rule and splitting (1263), into two cases. % 20.16/5.23 |-Branch one: % 20.16/5.23 | (1264) all_0_70_70 = e1 % 20.16/5.23 | % 20.16/5.23 | Equations (1264) can reduce 1171 to: % 20.16/5.23 | (326) $false % 20.16/5.23 | % 20.16/5.23 |-The branch is then unsatisfiable % 20.16/5.23 |-Branch two: % 20.16/5.23 | (1171) ~ (all_0_70_70 = e1) % 20.16/5.23 | (1267) all_0_70_70 = e0 % 20.16/5.23 | % 20.16/5.23 | Equations (1267) can reduce 1187 to: % 20.16/5.23 | (326) $false % 20.16/5.23 | % 20.16/5.23 |-The branch is then unsatisfiable % 20.16/5.23 |-Branch two: % 20.16/5.23 | (1320) ~ (all_0_82_82 = e1) % 20.16/5.23 | (1376) all_0_82_82 = e0 % 20.16/5.23 | % 20.16/5.23 | Equations (1376) can reduce 1368 to: % 20.16/5.23 | (326) $false % 20.16/5.23 | % 20.16/5.23 |-The branch is then unsatisfiable % 20.16/5.23 |-Branch two: % 20.16/5.23 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 20.16/5.23 | % 20.16/5.23 | Applying alpha-rule on (333) yields: % 20.16/5.23 | (334) all_0_68_68 = e1 % 20.16/5.23 | (335) all_0_73_73 = e1 % 20.16/5.23 | (336) all_0_78_78 = e1 % 20.16/5.23 | (337) all_0_83_83 = e1 % 20.16/5.23 | % 20.16/5.23 | Combining equations (334,328) yields a new equation: % 20.16/5.23 | (494) e2 = e1 % 20.16/5.23 | % 20.16/5.23 | Equations (494) can reduce 15 to: % 20.16/5.23 | (326) $false % 20.16/5.23 | % 20.16/5.23 |-The branch is then unsatisfiable % 20.16/5.23 |-Branch two: % 20.16/5.23 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 20.16/5.23 | % 20.16/5.23 | Applying alpha-rule on (340) yields: % 20.16/5.23 | (341) all_0_68_68 = e0 % 20.16/5.23 | (342) all_0_73_73 = e0 % 20.16/5.23 | (343) all_0_78_78 = e0 % 20.16/5.23 | (344) all_0_83_83 = e0 % 20.16/5.23 | % 20.16/5.23 | Combining equations (341,328) yields a new equation: % 20.16/5.23 | (1227) e2 = e0 % 20.16/5.23 | % 20.16/5.23 | Equations (1227) can reduce 262 to: % 20.16/5.23 | (326) $false % 20.16/5.23 | % 20.16/5.23 |-The branch is then unsatisfiable % 20.16/5.23 |-Branch two: % 20.16/5.23 | (444) all_0_69_69 = e0 % 20.16/5.23 | (514) ~ (all_0_73_73 = e1) % 20.16/5.23 | % 20.16/5.23 | Equations (444) can reduce 152 to: % 20.16/5.23 | (4490) ~ (all_0_70_70 = e0) % 20.16/5.23 | % 20.16/5.23 | Simplifying 4490 yields: % 20.16/5.23 | (1187) ~ (all_0_70_70 = e0) % 20.16/5.23 | % 20.16/5.23 | Equations (444) can reduce 153 to: % 20.25/5.23 | (2707) ~ (all_0_71_71 = e0) % 20.25/5.23 | % 20.25/5.23 | Simplifying 2707 yields: % 20.25/5.23 | (526) ~ (all_0_71_71 = e0) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (270), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (319), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (320), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (321) yields: % 20.25/5.23 | (322) all_0_68_68 = e3 % 20.25/5.23 | (323) all_0_73_73 = e3 % 20.25/5.23 | (324) all_0_78_78 = e3 % 20.25/5.23 | (325) all_0_83_83 = e3 % 20.25/5.23 | % 20.25/5.23 | Equations (324) can reduce 293 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (327) yields: % 20.25/5.23 | (328) all_0_68_68 = e2 % 20.25/5.23 | (329) all_0_73_73 = e2 % 20.25/5.23 | (330) all_0_78_78 = e2 % 20.25/5.23 | (331) all_0_83_83 = e2 % 20.25/5.23 | % 20.25/5.23 | Equations (330) can reduce 19 to: % 20.25/5.23 | (296) ~ (all_0_70_70 = e2) % 20.25/5.23 | % 20.25/5.23 | Equations (331) can reduce 24 to: % 20.25/5.23 | (509) ~ (all_0_71_71 = e2) % 20.25/5.23 | % 20.25/5.23 | Equations (331) can reduce 42 to: % 20.25/5.23 | (1358) ~ (all_0_82_82 = e2) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (155), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (294) ~ (all_0_71_71 = e1) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (278), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (295) ~ (all_0_78_78 = e2) % 20.25/5.23 | % 20.25/5.23 | Equations (330) can reduce 295 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (330) all_0_78_78 = e2 % 20.25/5.23 | (1143) ~ (all_0_82_82 = e3) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (48), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (529) all_0_71_71 = e3 % 20.25/5.23 | % 20.25/5.23 | Equations (529) can reduce 17 to: % 20.25/5.23 | (1258) ~ (all_0_70_70 = e3) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (123), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1140) all_0_82_82 = e3 % 20.25/5.23 | % 20.25/5.23 | Equations (1140) can reduce 1143 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (1143) ~ (all_0_82_82 = e3) % 20.25/5.23 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (1144), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1369) all_0_82_82 = e2 % 20.25/5.23 | % 20.25/5.23 | Equations (1369) can reduce 1358 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (1358) ~ (all_0_82_82 = e2) % 20.25/5.23 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (35), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1188) all_0_70_70 = e3 % 20.25/5.23 | % 20.25/5.23 | Equations (1188) can reduce 1258 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (1258) ~ (all_0_70_70 = e3) % 20.25/5.23 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (1259), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1260) all_0_70_70 = e2 % 20.25/5.23 | % 20.25/5.23 | Equations (1260) can reduce 296 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (296) ~ (all_0_70_70 = e2) % 20.25/5.23 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (1263), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1264) all_0_70_70 = e1 % 20.25/5.23 | % 20.25/5.23 | Equations (1264) can reduce 265 to: % 20.25/5.23 | (2262) ~ (all_0_82_82 = e1) % 20.25/5.23 | % 20.25/5.23 | Simplifying 2262 yields: % 20.25/5.23 | (1320) ~ (all_0_82_82 = e1) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (1372), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1373) all_0_82_82 = e1 % 20.25/5.23 | % 20.25/5.23 | Equations (1373) can reduce 1320 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (1320) ~ (all_0_82_82 = e1) % 20.25/5.23 | (1376) all_0_82_82 = e0 % 20.25/5.23 | % 20.25/5.23 | Equations (1376) can reduce 1368 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (1171) ~ (all_0_70_70 = e1) % 20.25/5.23 | (1267) all_0_70_70 = e0 % 20.25/5.23 | % 20.25/5.23 | Equations (1267) can reduce 1187 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (613) ~ (all_0_71_71 = e3) % 20.25/5.23 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (614), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (615) all_0_71_71 = e2 % 20.25/5.23 | % 20.25/5.23 | Equations (615) can reduce 509 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (509) ~ (all_0_71_71 = e2) % 20.25/5.23 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (618), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (619) all_0_71_71 = e1 % 20.25/5.23 | % 20.25/5.23 | Equations (619) can reduce 294 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (294) ~ (all_0_71_71 = e1) % 20.25/5.23 | (622) all_0_71_71 = e0 % 20.25/5.23 | % 20.25/5.23 | Equations (622) can reduce 526 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (619) all_0_71_71 = e1 % 20.25/5.23 | (1552) ~ (all_0_83_83 = e2) % 20.25/5.23 | % 20.25/5.23 | Equations (331) can reduce 1552 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (333) yields: % 20.25/5.23 | (334) all_0_68_68 = e1 % 20.25/5.23 | (335) all_0_73_73 = e1 % 20.25/5.23 | (336) all_0_78_78 = e1 % 20.25/5.23 | (337) all_0_83_83 = e1 % 20.25/5.23 | % 20.25/5.23 | Equations (335) can reduce 514 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (340) yields: % 20.25/5.23 | (341) all_0_68_68 = e0 % 20.25/5.23 | (342) all_0_73_73 = e0 % 20.25/5.23 | (343) all_0_78_78 = e0 % 20.25/5.23 | (344) all_0_83_83 = e0 % 20.25/5.23 | % 20.25/5.23 | Equations (343) can reduce 951 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (367) all_0_79_79 = e3 % 20.25/5.23 | (1552) ~ (all_0_83_83 = e2) % 20.25/5.23 | % 20.25/5.23 | Equations (367) can reduce 110 to: % 20.25/5.23 | (613) ~ (all_0_71_71 = e3) % 20.25/5.23 | % 20.25/5.23 | Equations (367) can reduce 221 to: % 20.25/5.23 | (877) ~ (all_0_75_75 = e3) % 20.25/5.23 | % 20.25/5.23 | Equations (367) can reduce 264 to: % 20.25/5.23 | (453) ~ (all_0_76_76 = e3) % 20.25/5.23 | % 20.25/5.23 | Equations (367) can reduce 5 to: % 20.25/5.23 | (365) ~ (all_0_77_77 = e3) % 20.25/5.23 | % 20.25/5.23 | Equations (367) can reduce 250 to: % 20.25/5.23 | (2098) ~ (all_0_83_83 = e3) % 20.25/5.23 | % 20.25/5.23 | Simplifying 2098 yields: % 20.25/5.23 | (1089) ~ (all_0_83_83 = e3) % 20.25/5.23 | % 20.25/5.23 | From (367) and (242) follows: % 20.25/5.23 | (4578) op(e1, e0) = e3 % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (75), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (1251) ~ (all_0_68_68 = e2) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (164), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (317) ~ (all_0_68_68 = e1) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (270), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (319), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 20.25/5.23 | % 20.25/5.23 +-Applying beta-rule and splitting (320), into two cases. % 20.25/5.23 |-Branch one: % 20.25/5.23 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (321) yields: % 20.25/5.23 | (322) all_0_68_68 = e3 % 20.25/5.23 | (323) all_0_73_73 = e3 % 20.25/5.23 | (324) all_0_78_78 = e3 % 20.25/5.23 | (325) all_0_83_83 = e3 % 20.25/5.23 | % 20.25/5.23 | Equations (325) can reduce 1089 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (327) yields: % 20.25/5.23 | (328) all_0_68_68 = e2 % 20.25/5.23 | (329) all_0_73_73 = e2 % 20.25/5.23 | (330) all_0_78_78 = e2 % 20.25/5.23 | (331) all_0_83_83 = e2 % 20.25/5.23 | % 20.25/5.23 | Equations (331) can reduce 1552 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (333) yields: % 20.25/5.23 | (334) all_0_68_68 = e1 % 20.25/5.23 | (335) all_0_73_73 = e1 % 20.25/5.23 | (336) all_0_78_78 = e1 % 20.25/5.23 | (337) all_0_83_83 = e1 % 20.25/5.23 | % 20.25/5.23 | Equations (334) can reduce 317 to: % 20.25/5.23 | (326) $false % 20.25/5.23 | % 20.25/5.23 |-The branch is then unsatisfiable % 20.25/5.23 |-Branch two: % 20.25/5.23 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 20.25/5.23 | % 20.25/5.23 | Applying alpha-rule on (340) yields: % 20.25/5.23 | (341) all_0_68_68 = e0 % 20.25/5.23 | (342) all_0_73_73 = e0 % 20.25/5.23 | (343) all_0_78_78 = e0 % 20.25/5.23 | (344) all_0_83_83 = e0 % 20.25/5.23 | % 20.25/5.23 | Equations (342) can reduce 220 to: % 20.25/5.23 | (298) ~ (all_0_69_69 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (343) can reduce 19 to: % 20.25/5.23 | (1187) ~ (all_0_70_70 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (344) can reduce 24 to: % 20.25/5.23 | (526) ~ (all_0_71_71 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (342) can reduce 106 to: % 20.25/5.23 | (348) ~ (all_0_72_72 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (343) can reduce 271 to: % 20.25/5.23 | (292) ~ (all_0_74_74 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (344) can reduce 196 to: % 20.25/5.23 | (999) ~ (all_0_75_75 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (343) can reduce 109 to: % 20.25/5.23 | (349) ~ (all_0_76_76 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (343) can reduce 219 to: % 20.25/5.23 | (350) ~ (all_0_77_77 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (344) can reduce 77 to: % 20.25/5.23 | (352) ~ (all_0_80_80 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (344) can reduce 6 to: % 20.25/5.23 | (353) ~ (all_0_81_81 = e0) % 20.25/5.23 | % 20.25/5.23 | Equations (344) can reduce 42 to: % 20.25/5.23 | (1368) ~ (all_0_82_82 = e0) % 20.25/5.23 | % 20.25/5.23 | From (341) and (255) follows: % 20.25/5.23 | (3367) op(e0, e3) = all_0_4_4 % 20.25/5.23 | % 20.25/5.23 | From (341) and (147) follows: % 20.25/5.24 | (3369) op(e0, e1) = all_0_6_6 % 20.25/5.24 | % 20.25/5.24 | From (342) and (208) follows: % 20.25/5.24 | (3370) op(e0, e3) = all_0_24_24 % 20.25/5.24 | % 20.25/5.24 | From (342) and (22) follows: % 20.25/5.24 | (3371) op(e0, e1) = all_0_26_26 % 20.25/5.24 | % 20.25/5.24 | From (342) and (31) follows: % 20.25/5.24 | (4621) op(e0, e0) = all_0_27_27 % 20.25/5.24 | % 20.25/5.24 | From (343) and (85) follows: % 20.25/5.24 | (3372) op(e0, e3) = all_0_44_44 % 20.25/5.24 | % 20.25/5.24 | From (341) and (281) follows: % 20.25/5.24 | (3375) op(e3, e0) = all_0_4_4 % 20.25/5.24 | % 20.25/5.24 | From (344) and (16) follows: % 20.25/5.24 | (3377) op(e3, e0) = all_0_19_19 % 20.25/5.24 | % 20.25/5.24 | From (341) and (32) follows: % 20.25/5.24 | (4625) op(e1, e0) = all_0_36_36 % 20.25/5.24 | % 20.25/5.24 | From (341) and (72) follows: % 20.25/5.24 | (4626) op(e0, e0) = all_0_52_52 % 20.25/5.24 | % 20.25/5.24 | From (343) and (197) follows: % 20.25/5.24 | (3382) op(e0, e0) = all_0_62_62 % 20.25/5.24 | % 20.25/5.24 | From (344) and (272) follows: % 20.25/5.24 | (3383) op(e0, e0) = all_0_67_67 % 20.25/5.24 | % 20.25/5.24 | From (344) and (215) follows: % 20.25/5.24 | (3384) op(e0, e0) = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (203), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (354) ~ (all_0_68_68 = e0) % 20.25/5.24 | % 20.25/5.24 | Equations (341) can reduce 354 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (341) all_0_68_68 = e0 % 20.25/5.24 | (361) ~ (all_0_72_72 = e1) % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (202), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (366) ~ (all_0_69_69 = e1) % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (55), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (738) ~ (all_0_74_74 = e3) % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (93), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (296) ~ (all_0_70_70 = e2) % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (179), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (354) ~ (all_0_68_68 = e0) % 20.25/5.24 | % 20.25/5.24 | Equations (341) can reduce 354 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (341) all_0_68_68 = e0 % 20.25/5.24 | (357) ~ (all_0_76_76 = e2) % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (112), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (378) all_0_76_76 = e3 % 20.25/5.24 | % 20.25/5.24 | Equations (378) can reduce 453 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (453) ~ (all_0_76_76 = e3) % 20.25/5.24 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (454), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (455) all_0_76_76 = e2 % 20.25/5.24 | % 20.25/5.24 | Equations (455) can reduce 357 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (357) ~ (all_0_76_76 = e2) % 20.25/5.24 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (458), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (459) all_0_76_76 = e1 % 20.25/5.24 | % 20.25/5.24 | Equations (459) can reduce 228 to: % 20.25/5.24 | (4650) ~ (all_0_77_77 = e1) % 20.25/5.24 | % 20.25/5.24 | Simplifying 4650 yields: % 20.25/5.24 | (377) ~ (all_0_77_77 = e1) % 20.25/5.24 | % 20.25/5.24 | From (459) and (13) follows: % 20.25/5.24 | (3750) op(e1, e3) = all_0_36_36 % 20.25/5.24 | % 20.25/5.24 | From (459) and (165) follows: % 20.25/5.24 | (3455) op(e1, e2) = all_0_37_37 % 20.25/5.24 | % 20.25/5.24 | From (459) and (206) follows: % 20.25/5.24 | (4654) op(e1, e0) = all_0_39_39 % 20.25/5.24 | % 20.25/5.24 | From (459) and (132) follows: % 20.25/5.24 | (4655) op(e3, e1) = all_0_12_12 % 20.25/5.24 | % 20.25/5.24 | From (459) and (175) follows: % 20.25/5.24 | (4656) op(e2, e1) = all_0_28_28 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (237), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (384) all_0_77_77 = e3 % 20.25/5.24 | % 20.25/5.24 | Equations (384) can reduce 365 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (365) ~ (all_0_77_77 = e3) % 20.25/5.24 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (387), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (388) all_0_77_77 = e2 % 20.25/5.24 | % 20.25/5.24 | Equations (388) can reduce 225 to: % 20.25/5.24 | (389) ~ (all_0_69_69 = e2) % 20.25/5.24 | % 20.25/5.24 | Equations (388) can reduce 11 to: % 20.25/5.24 | (390) ~ (all_0_81_81 = e2) % 20.25/5.24 | % 20.25/5.24 | Simplifying 390 yields: % 20.25/5.24 | (391) ~ (all_0_81_81 = e2) % 20.25/5.24 | % 20.25/5.24 | From (388) and (290) follows: % 20.25/5.24 | (4665) op(e2, e3) = all_0_40_40 % 20.25/5.24 | % 20.25/5.24 | From (388) and (222) follows: % 20.25/5.24 | (4666) op(e2, e2) = all_0_41_41 % 20.25/5.24 | % 20.25/5.24 | From (388) and (185) follows: % 20.25/5.24 | (4667) op(e1, e2) = all_0_45_45 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (101), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (396) all_0_69_69 = e3 % 20.25/5.24 | % 20.25/5.24 | Equations (396) can reduce 152 to: % 20.25/5.24 | (4669) ~ (all_0_70_70 = e3) % 20.25/5.24 | % 20.25/5.24 | Simplifying 4669 yields: % 20.25/5.24 | (1258) ~ (all_0_70_70 = e3) % 20.25/5.24 | % 20.25/5.24 | Equations (396) can reduce 153 to: % 20.25/5.24 | (1190) ~ (all_0_71_71 = e3) % 20.25/5.24 | % 20.25/5.24 | Simplifying 1190 yields: % 20.25/5.24 | (613) ~ (all_0_71_71 = e3) % 20.25/5.24 | % 20.25/5.24 | Equations (396) can reduce 118 to: % 20.25/5.24 | (397) ~ (all_0_81_81 = e3) % 20.25/5.24 | % 20.25/5.24 | Simplifying 397 yields: % 20.25/5.24 | (398) ~ (all_0_81_81 = e3) % 20.25/5.24 | % 20.25/5.24 | From (396) and (94) follows: % 20.25/5.24 | (3464) op(e3, e1) = all_0_10_10 % 20.25/5.24 | % 20.25/5.24 | From (396) and (194) follows: % 20.25/5.24 | (4676) op(e3, e0) = all_0_11_11 % 20.25/5.24 | % 20.25/5.24 | From (396) and (80) follows: % 20.25/5.24 | (4677) op(e2, e3) = all_0_21_21 % 20.25/5.24 | % 20.25/5.24 | From (396) and (261) follows: % 20.25/5.24 | (4678) op(e1, e3) = all_0_37_37 % 20.25/5.24 | % 20.25/5.24 | From (396) and (249) follows: % 20.25/5.24 | (4679) op(e0, e3) = all_0_53_53 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (139), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (399) all_0_81_81 = e3 % 20.25/5.24 | % 20.25/5.24 | Equations (399) can reduce 398 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (398) ~ (all_0_81_81 = e3) % 20.25/5.24 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (402), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (410) all_0_81_81 = e2 % 20.25/5.24 | % 20.25/5.24 | Equations (410) can reduce 391 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (391) ~ (all_0_81_81 = e2) % 20.25/5.24 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (413), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (418) all_0_81_81 = e1 % 20.25/5.24 | % 20.25/5.24 | Equations (418) can reduce 244 to: % 20.25/5.24 | (419) ~ (all_0_80_80 = e1) % 20.25/5.24 | % 20.25/5.24 | From (418) and (70) follows: % 20.25/5.24 | (4690) op(e1, e3) = all_0_56_56 % 20.25/5.24 | % 20.25/5.24 | From (418) and (189) follows: % 20.25/5.24 | (4691) op(e1, e2) = all_0_57_57 % 20.25/5.24 | % 20.25/5.24 | From (418) and (78) follows: % 20.25/5.24 | (4692) op(e3, e1) = all_0_17_17 % 20.25/5.24 | % 20.25/5.24 | From (418) and (177) follows: % 20.25/5.24 | (4693) op(e2, e1) = all_0_33_33 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (35), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (1188) all_0_70_70 = e3 % 20.25/5.24 | % 20.25/5.24 | Equations (1188) can reduce 1258 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (1258) ~ (all_0_70_70 = e3) % 20.25/5.24 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (1259), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (1260) all_0_70_70 = e2 % 20.25/5.24 | % 20.25/5.24 | Equations (1260) can reduce 296 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (296) ~ (all_0_70_70 = e2) % 20.25/5.24 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (1263), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (1264) all_0_70_70 = e1 % 20.25/5.24 | % 20.25/5.24 | Equations (1264) can reduce 17 to: % 20.25/5.24 | (4171) ~ (all_0_71_71 = e1) % 20.25/5.24 | % 20.25/5.24 | Simplifying 4171 yields: % 20.25/5.24 | (294) ~ (all_0_71_71 = e1) % 20.25/5.24 | % 20.25/5.24 | Equations (1264) can reduce 265 to: % 20.25/5.24 | (2262) ~ (all_0_82_82 = e1) % 20.25/5.24 | % 20.25/5.24 | Simplifying 2262 yields: % 20.25/5.24 | (1320) ~ (all_0_82_82 = e1) % 20.25/5.24 | % 20.25/5.24 | From (1264) and (188) follows: % 20.25/5.24 | (4707) op(e1, e3) = all_0_12_12 % 20.25/5.24 | % 20.25/5.24 | From (1264) and (210) follows: % 20.25/5.24 | (4708) op(e2, e1) = all_0_22_22 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (48), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (529) all_0_71_71 = e3 % 20.25/5.24 | % 20.25/5.24 | Equations (529) can reduce 613 to: % 20.25/5.24 | (326) $false % 20.25/5.24 | % 20.25/5.24 |-The branch is then unsatisfiable % 20.25/5.24 |-Branch two: % 20.25/5.24 | (613) ~ (all_0_71_71 = e3) % 20.25/5.24 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 20.25/5.24 | % 20.25/5.24 +-Applying beta-rule and splitting (614), into two cases. % 20.25/5.24 |-Branch one: % 20.25/5.24 | (615) all_0_71_71 = e2 % 20.25/5.24 | % 20.25/5.24 | Equations (615) can reduce 251 to: % 20.25/5.24 | (2844) ~ (all_0_75_75 = e2) % 20.25/5.24 | % 20.25/5.24 | Simplifying 2844 yields: % 20.25/5.24 | (881) ~ (all_0_75_75 = e2) % 20.25/5.24 | % 20.25/5.24 | From (615) and (245) follows: % 20.25/5.24 | (4716) op(e2, e3) = all_0_16_16 % 20.25/5.24 | % 20.25/5.24 | From (615) and (89) follows: % 20.25/5.24 | (4717) op(e2, e2) = all_0_17_17 % 20.25/5.24 | % 20.25/5.24 | From (615) and (58) follows: % 20.25/5.25 | (4718) op(e2, e1) = all_0_18_18 % 20.25/5.25 | % 20.25/5.25 | From (615) and (201) follows: % 20.25/5.25 | (4719) op(e2, e0) = all_0_19_19 % 20.25/5.25 | % 20.25/5.25 | From (615) and (280) follows: % 20.25/5.25 | (4720) op(e3, e2) = all_0_7_7 % 20.25/5.25 | % 20.25/5.25 | From (615) and (69) follows: % 20.25/5.25 | (4721) op(e2, e2) = all_0_23_23 % 20.25/5.25 | % 20.25/5.25 | From (615) and (172) follows: % 20.25/5.25 | (4722) op(e1, e2) = all_0_39_39 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (253), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (883) all_0_75_75 = e3 % 20.25/5.25 | % 20.25/5.25 | Equations (883) can reduce 877 to: % 20.25/5.25 | (326) $false % 20.25/5.25 | % 20.25/5.25 |-The branch is then unsatisfiable % 20.25/5.25 |-Branch two: % 20.25/5.25 | (877) ~ (all_0_75_75 = e3) % 20.25/5.25 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (886), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (887) all_0_75_75 = e2 % 20.25/5.25 | % 20.25/5.25 | Equations (887) can reduce 881 to: % 20.25/5.25 | (326) $false % 20.25/5.25 | % 20.25/5.25 |-The branch is then unsatisfiable % 20.25/5.25 |-Branch two: % 20.25/5.25 | (881) ~ (all_0_75_75 = e2) % 20.25/5.25 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (890), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (895) all_0_75_75 = e1 % 20.25/5.25 | % 20.25/5.25 | Equations (895) can reduce 88 to: % 20.25/5.25 | (361) ~ (all_0_72_72 = e1) % 20.25/5.25 | % 20.25/5.25 | Equations (895) can reduce 173 to: % 20.25/5.25 | (1315) ~ (all_0_74_74 = e1) % 20.25/5.25 | % 20.25/5.25 | Equations (895) can reduce 999 to: % 20.25/5.25 | (71) ~ (e1 = e0) % 20.25/5.25 | % 20.25/5.25 | From (895) and (9) follows: % 20.25/5.25 | (4735) op(e1, e2) = all_0_33_33 % 20.25/5.25 | % 20.25/5.25 | From (895) and (62) follows: % 20.25/5.25 | (4736) op(e3, e1) = all_0_11_11 % 20.25/5.25 | % 20.25/5.25 | From (895) and (33) follows: % 20.25/5.25 | (4737) op(e2, e1) = all_0_27_27 % 20.25/5.25 | % 20.25/5.25 | From (895) and (87) follows: % 20.25/5.25 | (4738) op(e2, e0) = e1 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (282), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (870) all_0_74_74 = e3 % 20.25/5.25 | % 20.25/5.25 | Equations (870) can reduce 738 to: % 20.25/5.25 | (326) $false % 20.25/5.25 | % 20.25/5.25 |-The branch is then unsatisfiable % 20.25/5.25 |-Branch two: % 20.25/5.25 | (738) ~ (all_0_74_74 = e3) % 20.25/5.25 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (875), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (1356) all_0_74_74 = e2 % 20.25/5.25 | % 20.25/5.25 | Equations (1356) can reduce 133 to: % 20.25/5.25 | (1357) ~ (all_0_82_82 = e2) % 20.25/5.25 | % 20.25/5.25 | Simplifying 1357 yields: % 20.25/5.25 | (1358) ~ (all_0_82_82 = e2) % 20.25/5.25 | % 20.25/5.25 | From (1356) and (108) follows: % 20.25/5.25 | (4746) op(e2, e3) = all_0_28_28 % 20.25/5.25 | % 20.25/5.25 | From (1356) and (63) follows: % 20.25/5.25 | (4747) op(e2, e2) = all_0_29_29 % 20.25/5.25 | % 20.25/5.25 | From (1356) and (256) follows: % 20.25/5.25 | (4748) op(e2, e1) = all_0_30_30 % 20.25/5.25 | % 20.25/5.25 | From (1356) and (137) follows: % 20.25/5.25 | (4749) op(e3, e2) = all_0_10_10 % 20.25/5.25 | % 20.25/5.25 | From (1356) and (10) follows: % 20.25/5.25 | (4750) op(e2, e2) = all_0_26_26 % 20.25/5.25 | % 20.25/5.25 | From (1356) and (247) follows: % 20.25/5.25 | (4211) op(e2, e1) = e2 % 20.25/5.25 | % 20.25/5.25 | From (1356) and (269) follows: % 20.25/5.25 | (4752) op(e1, e2) = all_0_42_42 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (123), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (1140) all_0_82_82 = e3 % 20.25/5.25 | % 20.25/5.25 | Equations (1140) can reduce 95 to: % 20.25/5.25 | (383) ~ (all_0_80_80 = e3) % 20.25/5.25 | % 20.25/5.25 | From (1140) and (4) follows: % 20.25/5.25 | (4755) op(e2, e3) = all_0_34_34 % 20.25/5.25 | % 20.25/5.25 | From (1140) and (23) follows: % 20.25/5.25 | (4756) op(e0, e1) = e3 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (238), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (406) all_0_80_80 = e3 % 20.25/5.25 | % 20.25/5.25 | Equations (406) can reduce 383 to: % 20.25/5.25 | (326) $false % 20.25/5.25 | % 20.25/5.25 |-The branch is then unsatisfiable % 20.25/5.25 |-Branch two: % 20.25/5.25 | (383) ~ (all_0_80_80 = e3) % 20.25/5.25 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (409), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (414) all_0_80_80 = e2 % 20.25/5.25 | % 20.25/5.25 | Equations (414) can reduce 171 to: % 20.25/5.25 | (428) ~ (all_0_72_72 = e2) % 20.25/5.25 | % 20.25/5.25 | From (414) and (81) follows: % 20.25/5.25 | (4763) op(e2, e3) = all_0_52_52 % 20.25/5.25 | % 20.25/5.25 | From (414) and (104) follows: % 20.25/5.25 | (4764) op(e2, e2) = all_0_53_53 % 20.25/5.25 | % 20.25/5.25 | From (414) and (180) follows: % 20.25/5.25 | (4765) op(e2, e1) = all_0_54_54 % 20.25/5.25 | % 20.25/5.25 | From (414) and (84) follows: % 20.25/5.25 | (4766) op(e3, e2) = all_0_16_16 % 20.25/5.25 | % 20.25/5.25 | From (414) and (170) follows: % 20.25/5.25 | (4767) op(e2, e2) = all_0_32_32 % 20.25/5.25 | % 20.25/5.25 +-Applying beta-rule and splitting (86), into two cases. % 20.25/5.25 |-Branch one: % 20.25/5.25 | (392) all_0_72_72 = e3 % 20.25/5.25 | % 20.25/5.25 | From (392) and (138) follows: % 20.25/5.25 | (4769) op(e3, e0) = all_0_23_23 % 20.25/5.25 | % 20.25/5.25 | From (392) and (21) follows: % 20.25/5.25 | (2991) op(e2, e3) = all_0_24_24 % 20.25/5.25 | % 20.25/5.25 | From (392) and (263) follows: % 20.25/5.25 | (4771) op(e1, e3) = all_0_40_40 % 20.25/5.25 | % 20.25/5.25 | From (392) and (252) follows: % 20.25/5.25 | (4772) op(e0, e3) = all_0_56_56 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e3, e2, all_0_10_10, all_0_7_7 and discharging atoms op(e3, e2) = all_0_7_7, op(e3, e2) = all_0_10_10, yields: % 20.25/5.25 | (3498) all_0_7_7 = all_0_10_10 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e3, e2, all_0_16_16, all_0_7_7 and discharging atoms op(e3, e2) = all_0_7_7, op(e3, e2) = all_0_16_16, yields: % 20.25/5.25 | (3501) all_0_7_7 = all_0_16_16 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e3, e1, all_0_11_11, all_0_10_10 and discharging atoms op(e3, e1) = all_0_10_10, op(e3, e1) = all_0_11_11, yields: % 20.25/5.25 | (4775) all_0_10_10 = all_0_11_11 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e3, e1, all_0_17_17, all_0_12_12 and discharging atoms op(e3, e1) = all_0_12_12, op(e3, e1) = all_0_17_17, yields: % 20.25/5.25 | (4284) all_0_12_12 = all_0_17_17 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e3, e0, all_0_19_19, all_0_4_4 and discharging atoms op(e3, e0) = all_0_4_4, op(e3, e0) = all_0_19_19, yields: % 20.25/5.25 | (4777) all_0_4_4 = all_0_19_19 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e3, e0, all_0_23_23, all_0_11_11 and discharging atoms op(e3, e0) = all_0_11_11, op(e3, e0) = all_0_23_23, yields: % 20.25/5.25 | (4308) all_0_11_11 = all_0_23_23 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e3, all_0_28_28, all_0_21_21 and discharging atoms op(e2, e3) = all_0_21_21, op(e2, e3) = all_0_28_28, yields: % 20.25/5.25 | (4779) all_0_21_21 = all_0_28_28 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e3, all_0_34_34, all_0_21_21 and discharging atoms op(e2, e3) = all_0_21_21, op(e2, e3) = all_0_34_34, yields: % 20.25/5.25 | (4296) all_0_21_21 = all_0_34_34 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e3, all_0_40_40, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = all_0_40_40, yields: % 20.25/5.25 | (4781) all_0_16_16 = all_0_40_40 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e3, all_0_52_52, all_0_24_24 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = all_0_52_52, yields: % 20.25/5.25 | (4782) all_0_24_24 = all_0_52_52 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e2, all_0_29_29, all_0_23_23 and discharging atoms op(e2, e2) = all_0_23_23, op(e2, e2) = all_0_29_29, yields: % 20.25/5.25 | (4783) all_0_23_23 = all_0_29_29 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e2, all_0_29_29, all_0_26_26 and discharging atoms op(e2, e2) = all_0_26_26, op(e2, e2) = all_0_29_29, yields: % 20.25/5.25 | (4784) all_0_26_26 = all_0_29_29 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e2, all_0_32_32, all_0_23_23 and discharging atoms op(e2, e2) = all_0_23_23, op(e2, e2) = all_0_32_32, yields: % 20.25/5.25 | (4329) all_0_23_23 = all_0_32_32 % 20.25/5.25 | % 20.25/5.25 | Instantiating formula (218) with e2, e2, all_0_41_41, all_0_17_17 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = all_0_41_41, yields: % 20.25/5.25 | (4786) all_0_17_17 = all_0_41_41 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e2, all_0_53_53, all_0_17_17 and discharging atoms op(e2, e2) = all_0_17_17, op(e2, e2) = all_0_53_53, yields: % 20.25/5.26 | (4787) all_0_17_17 = all_0_53_53 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, all_0_22_22, all_0_18_18 and discharging atoms op(e2, e1) = all_0_18_18, op(e2, e1) = all_0_22_22, yields: % 20.25/5.26 | (4788) all_0_18_18 = all_0_22_22 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, all_0_27_27, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = all_0_27_27, yields: % 20.25/5.26 | (4789) all_0_22_22 = all_0_27_27 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, all_0_28_28, all_0_27_27 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_28_28, yields: % 20.25/5.26 | (4790) all_0_27_27 = all_0_28_28 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, all_0_30_30, all_0_28_28 and discharging atoms op(e2, e1) = all_0_28_28, op(e2, e1) = all_0_30_30, yields: % 20.25/5.26 | (4791) all_0_28_28 = all_0_30_30 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, all_0_33_33, all_0_30_30 and discharging atoms op(e2, e1) = all_0_30_30, op(e2, e1) = all_0_33_33, yields: % 20.25/5.26 | (4792) all_0_30_30 = all_0_33_33 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, all_0_54_54, all_0_30_30 and discharging atoms op(e2, e1) = all_0_30_30, op(e2, e1) = all_0_54_54, yields: % 20.25/5.26 | (4793) all_0_30_30 = all_0_54_54 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e1, e2, all_0_18_18 and discharging atoms op(e2, e1) = all_0_18_18, op(e2, e1) = e2, yields: % 20.25/5.26 | (4794) all_0_18_18 = e2 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e2, e0, e1, all_0_19_19 and discharging atoms op(e2, e0) = all_0_19_19, op(e2, e0) = e1, yields: % 20.25/5.26 | (4795) all_0_19_19 = e1 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e3, all_0_37_37, all_0_36_36 and discharging atoms op(e1, e3) = all_0_36_36, op(e1, e3) = all_0_37_37, yields: % 20.25/5.26 | (4796) all_0_36_36 = all_0_37_37 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e3, all_0_40_40, all_0_12_12 and discharging atoms op(e1, e3) = all_0_12_12, op(e1, e3) = all_0_40_40, yields: % 20.25/5.26 | (4797) all_0_12_12 = all_0_40_40 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e3, all_0_56_56, all_0_36_36 and discharging atoms op(e1, e3) = all_0_36_36, op(e1, e3) = all_0_56_56, yields: % 20.25/5.26 | (4346) all_0_36_36 = all_0_56_56 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e2, all_0_42_42, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_42_42, yields: % 20.25/5.26 | (4799) all_0_37_37 = all_0_42_42 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e2, all_0_45_45, all_0_33_33 and discharging atoms op(e1, e2) = all_0_33_33, op(e1, e2) = all_0_45_45, yields: % 20.25/5.26 | (4800) all_0_33_33 = all_0_45_45 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e2, all_0_45_45, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_45_45, yields: % 20.25/5.26 | (3539) all_0_37_37 = all_0_45_45 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e2, all_0_57_57, all_0_39_39 and discharging atoms op(e1, e2) = all_0_39_39, op(e1, e2) = all_0_57_57, yields: % 20.25/5.26 | (4802) all_0_39_39 = all_0_57_57 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e1, e0, all_0_39_39, all_0_36_36 and discharging atoms op(e1, e0) = all_0_36_36, op(e1, e0) = all_0_39_39, yields: % 20.25/5.26 | (4803) all_0_36_36 = all_0_39_39 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e3, all_0_24_24, all_0_4_4 and discharging atoms op(e0, e3) = all_0_4_4, op(e0, e3) = all_0_24_24, yields: % 20.25/5.26 | (3020) all_0_4_4 = all_0_24_24 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e3, all_0_44_44, all_0_4_4 and discharging atoms op(e0, e3) = all_0_4_4, op(e0, e3) = all_0_44_44, yields: % 20.25/5.26 | (3520) all_0_4_4 = all_0_44_44 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e3, all_0_56_56, all_0_53_53 and discharging atoms op(e0, e3) = all_0_53_53, op(e0, e3) = all_0_56_56, yields: % 20.25/5.26 | (4372) all_0_53_53 = all_0_56_56 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e1, all_0_26_26, all_0_6_6 and discharging atoms op(e0, e1) = all_0_6_6, op(e0, e1) = all_0_26_26, yields: % 20.25/5.26 | (3025) all_0_6_6 = all_0_26_26 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e1, e3, all_0_6_6 and discharging atoms op(e0, e1) = all_0_6_6, op(e0, e1) = e3, yields: % 20.25/5.26 | (4808) all_0_6_6 = e3 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e0, all_0_52_52, all_0_27_27 and discharging atoms op(e0, e0) = all_0_27_27, op(e0, e0) = all_0_52_52, yields: % 20.25/5.26 | (4809) all_0_27_27 = all_0_52_52 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e0, all_0_62_62, all_0_52_52 and discharging atoms op(e0, e0) = all_0_52_52, op(e0, e0) = all_0_62_62, yields: % 20.25/5.26 | (1866) all_0_52_52 = all_0_62_62 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e0, all_0_67_67, all_0_27_27 and discharging atoms op(e0, e0) = all_0_27_27, op(e0, e0) = all_0_67_67, yields: % 20.25/5.26 | (3048) all_0_27_27 = all_0_67_67 % 20.25/5.26 | % 20.25/5.26 | Instantiating formula (218) with e0, e0, e0, all_0_27_27 and discharging atoms op(e0, e0) = all_0_27_27, op(e0, e0) = e0, yields: % 20.25/5.26 | (4812) all_0_27_27 = e0 % 20.25/5.26 | % 20.25/5.26 | Combining equations (3520,4777) yields a new equation: % 20.25/5.26 | (4813) all_0_19_19 = all_0_44_44 % 20.25/5.26 | % 20.25/5.26 | Combining equations (3020,4777) yields a new equation: % 20.25/5.26 | (3554) all_0_19_19 = all_0_24_24 % 20.25/5.26 | % 20.25/5.26 | Combining equations (3025,4808) yields a new equation: % 20.25/5.26 | (4815) all_0_26_26 = e3 % 20.25/5.26 | % 20.25/5.26 | Simplifying 4815 yields: % 20.25/5.26 | (4816) all_0_26_26 = e3 % 20.25/5.26 | % 20.25/5.26 | Combining equations (3498,3501) yields a new equation: % 20.25/5.26 | (3543) all_0_10_10 = all_0_16_16 % 20.25/5.26 | % 20.25/5.26 | Simplifying 3543 yields: % 20.25/5.26 | (3544) all_0_10_10 = all_0_16_16 % 20.25/5.26 | % 20.25/5.26 | Combining equations (3544,4775) yields a new equation: % 20.25/5.26 | (4819) all_0_11_11 = all_0_16_16 % 20.25/5.26 | % 20.25/5.26 | Combining equations (4819,4308) yields a new equation: % 20.25/5.26 | (4820) all_0_16_16 = all_0_23_23 % 20.25/5.26 | % 20.25/5.26 | Simplifying 4820 yields: % 20.25/5.26 | (4821) all_0_16_16 = all_0_23_23 % 20.25/5.26 | % 20.25/5.26 | Combining equations (4284,4797) yields a new equation: % 20.25/5.26 | (4822) all_0_17_17 = all_0_40_40 % 20.25/5.26 | % 20.25/5.26 | Simplifying 4822 yields: % 20.25/5.26 | (4823) all_0_17_17 = all_0_40_40 % 20.25/5.26 | % 20.25/5.26 | Combining equations (4821,4781) yields a new equation: % 20.25/5.26 | (4824) all_0_23_23 = all_0_40_40 % 20.25/5.26 | % 20.25/5.26 | Simplifying 4824 yields: % 20.25/5.26 | (4825) all_0_23_23 = all_0_40_40 % 20.25/5.26 | % 20.25/5.26 | Combining equations (4823,4786) yields a new equation: % 20.25/5.26 | (4826) all_0_40_40 = all_0_41_41 % 20.25/5.26 | % 20.25/5.26 | Simplifying 4826 yields: % 20.25/5.26 | (4827) all_0_40_40 = all_0_41_41 % 20.25/5.26 | % 20.25/5.26 | Combining equations (4787,4786) yields a new equation: % 20.25/5.27 | (3566) all_0_41_41 = all_0_53_53 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4788,4794) yields a new equation: % 20.25/5.27 | (4829) all_0_22_22 = e2 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4829 yields: % 20.25/5.27 | (4830) all_0_22_22 = e2 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4795,4813) yields a new equation: % 20.25/5.27 | (4831) all_0_44_44 = e1 % 20.25/5.27 | % 20.25/5.27 | Combining equations (3554,4813) yields a new equation: % 20.25/5.27 | (3797) all_0_24_24 = all_0_44_44 % 20.25/5.27 | % 20.25/5.27 | Simplifying 3797 yields: % 20.25/5.27 | (3021) all_0_24_24 = all_0_44_44 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4779,4296) yields a new equation: % 20.25/5.27 | (4834) all_0_28_28 = all_0_34_34 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4834 yields: % 20.25/5.27 | (4835) all_0_28_28 = all_0_34_34 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4789,4830) yields a new equation: % 20.25/5.27 | (4836) all_0_27_27 = e2 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4836 yields: % 20.25/5.27 | (4837) all_0_27_27 = e2 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4825,4329) yields a new equation: % 20.25/5.27 | (4838) all_0_32_32 = all_0_40_40 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4783,4329) yields a new equation: % 20.25/5.27 | (4839) all_0_29_29 = all_0_32_32 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4839 yields: % 20.25/5.27 | (4840) all_0_29_29 = all_0_32_32 % 20.25/5.27 | % 20.25/5.27 | Combining equations (3021,4782) yields a new equation: % 20.25/5.27 | (4841) all_0_44_44 = all_0_52_52 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4841 yields: % 20.25/5.27 | (4842) all_0_44_44 = all_0_52_52 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4784,4816) yields a new equation: % 20.25/5.27 | (2568) all_0_29_29 = e3 % 20.25/5.27 | % 20.25/5.27 | Simplifying 2568 yields: % 20.25/5.27 | (2569) all_0_29_29 = e3 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4790,3048) yields a new equation: % 20.25/5.27 | (4845) all_0_28_28 = all_0_67_67 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4845 yields: % 20.25/5.27 | (4846) all_0_28_28 = all_0_67_67 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4812,3048) yields a new equation: % 20.25/5.27 | (1679) all_0_67_67 = e0 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4837,3048) yields a new equation: % 20.25/5.27 | (4407) all_0_67_67 = e2 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4809,3048) yields a new equation: % 20.25/5.27 | (4849) all_0_52_52 = all_0_67_67 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4849 yields: % 20.25/5.27 | (4317) all_0_52_52 = all_0_67_67 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4791,4835) yields a new equation: % 20.25/5.27 | (4851) all_0_30_30 = all_0_34_34 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4851 yields: % 20.25/5.27 | (4852) all_0_30_30 = all_0_34_34 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4846,4835) yields a new equation: % 20.25/5.27 | (4853) all_0_34_34 = all_0_67_67 % 20.25/5.27 | % 20.25/5.27 | Combining equations (2569,4840) yields a new equation: % 20.25/5.27 | (4854) all_0_32_32 = e3 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4793,4792) yields a new equation: % 20.25/5.27 | (4855) all_0_33_33 = all_0_54_54 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4852,4792) yields a new equation: % 20.25/5.27 | (4856) all_0_33_33 = all_0_34_34 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4838,4854) yields a new equation: % 20.25/5.27 | (4857) all_0_40_40 = e3 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4857 yields: % 20.25/5.27 | (4858) all_0_40_40 = e3 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4800,4855) yields a new equation: % 20.25/5.27 | (4859) all_0_45_45 = all_0_54_54 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4859 yields: % 20.25/5.27 | (3513) all_0_45_45 = all_0_54_54 % 20.25/5.27 | % 20.25/5.27 | Combining equations (4856,4855) yields a new equation: % 20.25/5.27 | (4861) all_0_34_34 = all_0_54_54 % 20.25/5.27 | % 20.25/5.27 | Simplifying 4861 yields: % 20.25/5.27 | (4862) all_0_34_34 = all_0_54_54 % 20.25/5.27 | % 20.25/5.28 | Combining equations (4853,4862) yields a new equation: % 20.25/5.28 | (4863) all_0_54_54 = all_0_67_67 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4346,4796) yields a new equation: % 20.25/5.28 | (4864) all_0_37_37 = all_0_56_56 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4803,4796) yields a new equation: % 20.25/5.28 | (4865) all_0_37_37 = all_0_39_39 % 20.25/5.28 | % 20.25/5.28 | Combining equations (3539,4799) yields a new equation: % 20.25/5.28 | (4866) all_0_42_42 = all_0_45_45 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4865,4799) yields a new equation: % 20.25/5.28 | (4867) all_0_39_39 = all_0_42_42 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4867 yields: % 20.25/5.28 | (4868) all_0_39_39 = all_0_42_42 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4864,4799) yields a new equation: % 20.25/5.28 | (4869) all_0_42_42 = all_0_56_56 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4868,4802) yields a new equation: % 20.25/5.28 | (4870) all_0_42_42 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4870 yields: % 20.25/5.28 | (4871) all_0_42_42 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4827,4858) yields a new equation: % 20.25/5.28 | (4872) all_0_41_41 = e3 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4872 yields: % 20.25/5.28 | (4873) all_0_41_41 = e3 % 20.25/5.28 | % 20.25/5.28 | Combining equations (3566,4873) yields a new equation: % 20.25/5.28 | (4874) all_0_53_53 = e3 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4874 yields: % 20.25/5.28 | (4875) all_0_53_53 = e3 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4866,4871) yields a new equation: % 20.25/5.28 | (4876) all_0_45_45 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4876 yields: % 20.25/5.28 | (3540) all_0_45_45 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4869,4871) yields a new equation: % 20.25/5.28 | (4878) all_0_56_56 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4878 yields: % 20.25/5.28 | (4879) all_0_56_56 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4842,4831) yields a new equation: % 20.25/5.28 | (2577) all_0_52_52 = e1 % 20.25/5.28 | % 20.25/5.28 | Simplifying 2577 yields: % 20.25/5.28 | (2578) all_0_52_52 = e1 % 20.25/5.28 | % 20.25/5.28 | Combining equations (3513,3540) yields a new equation: % 20.25/5.28 | (4882) all_0_54_54 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4882 yields: % 20.25/5.28 | (4883) all_0_54_54 = all_0_57_57 % 20.25/5.28 | % 20.25/5.28 | Combining equations (2578,1866) yields a new equation: % 20.25/5.28 | (3605) all_0_62_62 = e1 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4317,1866) yields a new equation: % 20.25/5.28 | (1676) all_0_62_62 = all_0_67_67 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4372,4875) yields a new equation: % 20.25/5.28 | (4886) all_0_56_56 = e3 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4886 yields: % 20.25/5.28 | (4887) all_0_56_56 = e3 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4863,4883) yields a new equation: % 20.25/5.28 | (2555) all_0_57_57 = all_0_67_67 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4879,4887) yields a new equation: % 20.25/5.28 | (4889) all_0_57_57 = e3 % 20.25/5.28 | % 20.25/5.28 | Simplifying 4889 yields: % 20.25/5.28 | (4890) all_0_57_57 = e3 % 20.25/5.28 | % 20.25/5.28 | Combining equations (2555,4890) yields a new equation: % 20.25/5.28 | (2583) all_0_67_67 = e3 % 20.25/5.28 | % 20.25/5.28 | Simplifying 2583 yields: % 20.25/5.28 | (2584) all_0_67_67 = e3 % 20.25/5.28 | % 20.25/5.28 | Combining equations (1676,3605) yields a new equation: % 20.25/5.28 | (2591) all_0_67_67 = e1 % 20.25/5.28 | % 20.25/5.28 | Simplifying 2591 yields: % 20.25/5.28 | (2592) all_0_67_67 = e1 % 20.25/5.28 | % 20.25/5.28 | Combining equations (4407,2584) yields a new equation: % 20.25/5.28 | (1223) e3 = e2 % 20.25/5.28 | % 20.25/5.28 | Combining equations (1679,2584) yields a new equation: % 20.25/5.28 | (1225) e3 = e0 % 20.25/5.28 | % 20.25/5.28 | Combining equations (2592,2584) yields a new equation: % 20.25/5.28 | (486) e3 = e1 % 20.25/5.28 | % 20.25/5.28 | Combining equations (486,1223) yields a new equation: % 20.25/5.28 | (494) e2 = e1 % 20.25/5.28 | % 20.25/5.28 | Combining equations (1225,1223) yields a new equation: % 20.25/5.28 | (1227) e2 = e0 % 20.25/5.28 | % 20.25/5.28 | Combining equations (494,1227) yields a new equation: % 20.25/5.28 | (1241) e1 = e0 % 20.25/5.28 | % 20.25/5.28 | Simplifying 1241 yields: % 20.25/5.28 | (632) e1 = e0 % 20.25/5.28 | % 20.25/5.28 | Equations (632) can reduce 71 to: % 20.25/5.28 | (326) $false % 20.25/5.28 | % 20.25/5.28 |-The branch is then unsatisfiable % 20.25/5.28 |-Branch two: % 20.25/5.28 | (379) ~ (all_0_72_72 = e3) % 20.25/5.28 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 20.25/5.28 | % 20.25/5.28 +-Applying beta-rule and splitting (395), into two cases. % 20.25/5.28 |-Branch one: % 20.25/5.28 | (403) all_0_72_72 = e2 % 20.25/5.28 | % 20.25/5.28 | Equations (403) can reduce 428 to: % 20.25/5.28 | (326) $false % 20.25/5.28 | % 20.25/5.28 |-The branch is then unsatisfiable % 20.25/5.28 |-Branch two: % 20.25/5.28 | (428) ~ (all_0_72_72 = e2) % 20.25/5.28 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 20.25/5.28 | % 20.25/5.28 +-Applying beta-rule and splitting (429), into two cases. % 20.25/5.28 |-Branch one: % 20.25/5.28 | (430) all_0_72_72 = e1 % 20.25/5.28 | % 20.25/5.28 | Equations (430) can reduce 361 to: % 20.25/5.28 | (326) $false % 20.25/5.28 | % 20.25/5.28 |-The branch is then unsatisfiable % 20.25/5.28 |-Branch two: % 20.25/5.28 | (361) ~ (all_0_72_72 = e1) % 20.25/5.28 | (433) all_0_72_72 = e0 % 20.25/5.28 | % 20.25/5.29 | Equations (433) can reduce 348 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (405) ~ (all_0_80_80 = e2) % 20.25/5.29 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (417), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (420) all_0_80_80 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (420) can reduce 419 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (419) ~ (all_0_80_80 = e1) % 20.25/5.29 | (423) all_0_80_80 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (423) can reduce 352 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1143) ~ (all_0_82_82 = e3) % 20.25/5.29 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (1144), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (1369) all_0_82_82 = e2 % 20.25/5.29 | % 20.25/5.29 | Equations (1369) can reduce 1358 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1358) ~ (all_0_82_82 = e2) % 20.25/5.29 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (1372), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (1373) all_0_82_82 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (1373) can reduce 1320 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1320) ~ (all_0_82_82 = e1) % 20.25/5.29 | (1376) all_0_82_82 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (1376) can reduce 1368 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1378) ~ (all_0_74_74 = e2) % 20.25/5.29 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (1379), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (1380) all_0_74_74 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (1380) can reduce 1315 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1315) ~ (all_0_74_74 = e1) % 20.25/5.29 | (1383) all_0_74_74 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (1383) can reduce 292 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (859) ~ (all_0_75_75 = e1) % 20.25/5.29 | (898) all_0_75_75 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (898) can reduce 999 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (509) ~ (all_0_71_71 = e2) % 20.25/5.29 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (618), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (619) all_0_71_71 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (619) can reduce 294 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (294) ~ (all_0_71_71 = e1) % 20.25/5.29 | (622) all_0_71_71 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (622) can reduce 526 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1171) ~ (all_0_70_70 = e1) % 20.25/5.29 | (1267) all_0_70_70 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (1267) can reduce 1187 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (425) ~ (all_0_81_81 = e1) % 20.25/5.29 | (426) all_0_81_81 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (426) can reduce 353 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (435) ~ (all_0_69_69 = e3) % 20.25/5.29 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (436), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (437) all_0_69_69 = e2 % 20.25/5.29 | % 20.25/5.29 | Equations (437) can reduce 389 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (389) ~ (all_0_69_69 = e2) % 20.25/5.29 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (440), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (441) all_0_69_69 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (441) can reduce 366 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (366) ~ (all_0_69_69 = e1) % 20.25/5.29 | (444) all_0_69_69 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (444) can reduce 298 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (446) ~ (all_0_77_77 = e2) % 20.25/5.29 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (447), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (448) all_0_77_77 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (448) can reduce 377 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (377) ~ (all_0_77_77 = e1) % 20.25/5.29 | (451) all_0_77_77 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (451) can reduce 350 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (376) ~ (all_0_76_76 = e1) % 20.25/5.29 | (462) all_0_76_76 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (462) can reduce 349 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (1260) all_0_70_70 = e2 % 20.25/5.29 | (951) ~ (all_0_78_78 = e0) % 20.25/5.29 | % 20.25/5.29 | Equations (343) can reduce 951 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (870) all_0_74_74 = e3 % 20.25/5.29 | (951) ~ (all_0_78_78 = e0) % 20.25/5.29 | % 20.25/5.29 | Equations (343) can reduce 951 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (441) all_0_69_69 = e1 % 20.25/5.29 | (362) ~ (all_0_73_73 = e0) % 20.25/5.29 | % 20.25/5.29 | Equations (342) can reduce 362 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (334) all_0_68_68 = e1 % 20.25/5.29 | (348) ~ (all_0_72_72 = e0) % 20.25/5.29 | % 20.25/5.29 | Equations (334) can reduce 1251 to: % 20.25/5.29 | (722) ~ (e2 = e1) % 20.25/5.29 | % 20.25/5.29 | Simplifying 722 yields: % 20.25/5.29 | (15) ~ (e2 = e1) % 20.25/5.29 | % 20.25/5.29 | From (334) and (128) follows: % 20.25/5.29 | (4989) op(e1, e2) = all_0_5_5 % 20.25/5.29 | % 20.25/5.29 | From (334) and (59) follows: % 20.25/5.29 | (4990) op(e1, e0) = all_0_7_7 % 20.25/5.29 | % 20.25/5.29 | From (334) and (72) follows: % 20.25/5.29 | (2376) op(e0, e1) = all_0_52_52 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (38), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (317) ~ (all_0_68_68 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (334) can reduce 317 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (334) all_0_68_68 = e1 % 20.25/5.29 | (405) ~ (all_0_80_80 = e2) % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (270), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (319), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (320), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 20.25/5.29 | % 20.25/5.29 | Applying alpha-rule on (321) yields: % 20.25/5.29 | (322) all_0_68_68 = e3 % 20.25/5.29 | (323) all_0_73_73 = e3 % 20.25/5.29 | (324) all_0_78_78 = e3 % 20.25/5.29 | (325) all_0_83_83 = e3 % 20.25/5.29 | % 20.25/5.29 | Combining equations (322,334) yields a new equation: % 20.25/5.29 | (485) e3 = e1 % 20.25/5.29 | % 20.25/5.29 | Simplifying 485 yields: % 20.25/5.29 | (486) e3 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (486) can reduce 214 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 20.25/5.29 | % 20.25/5.29 | Applying alpha-rule on (327) yields: % 20.25/5.29 | (328) all_0_68_68 = e2 % 20.25/5.29 | (329) all_0_73_73 = e2 % 20.25/5.29 | (330) all_0_78_78 = e2 % 20.25/5.29 | (331) all_0_83_83 = e2 % 20.25/5.29 | % 20.25/5.29 | Combining equations (328,334) yields a new equation: % 20.25/5.29 | (493) e2 = e1 % 20.25/5.29 | % 20.25/5.29 | Simplifying 493 yields: % 20.25/5.29 | (494) e2 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (494) can reduce 15 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 20.25/5.29 | % 20.25/5.29 | Applying alpha-rule on (333) yields: % 20.25/5.29 | (334) all_0_68_68 = e1 % 20.25/5.29 | (335) all_0_73_73 = e1 % 20.25/5.29 | (336) all_0_78_78 = e1 % 20.25/5.29 | (337) all_0_83_83 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (335) can reduce 220 to: % 20.25/5.29 | (366) ~ (all_0_69_69 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (336) can reduce 19 to: % 20.25/5.29 | (1171) ~ (all_0_70_70 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (337) can reduce 24 to: % 20.25/5.29 | (294) ~ (all_0_71_71 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (335) can reduce 106 to: % 20.25/5.29 | (361) ~ (all_0_72_72 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (336) can reduce 271 to: % 20.25/5.29 | (1315) ~ (all_0_74_74 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (337) can reduce 196 to: % 20.25/5.29 | (859) ~ (all_0_75_75 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (336) can reduce 109 to: % 20.25/5.29 | (376) ~ (all_0_76_76 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (336) can reduce 219 to: % 20.25/5.29 | (377) ~ (all_0_77_77 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (337) can reduce 77 to: % 20.25/5.29 | (419) ~ (all_0_80_80 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (337) can reduce 6 to: % 20.25/5.29 | (425) ~ (all_0_81_81 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (337) can reduce 42 to: % 20.25/5.29 | (1320) ~ (all_0_82_82 = e1) % 20.25/5.29 | % 20.25/5.29 | From (335) and (208) follows: % 20.25/5.29 | (5030) op(e1, e3) = all_0_24_24 % 20.25/5.29 | % 20.25/5.29 | From (335) and (135) follows: % 20.25/5.29 | (5031) op(e1, e2) = all_0_25_25 % 20.25/5.29 | % 20.25/5.29 | From (335) and (22) follows: % 20.25/5.29 | (2411) op(e1, e1) = all_0_26_26 % 20.25/5.29 | % 20.25/5.29 | From (335) and (31) follows: % 20.25/5.29 | (5033) op(e1, e0) = all_0_27_27 % 20.25/5.29 | % 20.25/5.29 | From (337) and (111) follows: % 20.25/5.29 | (5034) op(e1, e3) = all_0_64_64 % 20.25/5.29 | % 20.25/5.29 | From (337) and (64) follows: % 20.25/5.29 | (5035) op(e1, e2) = all_0_65_65 % 20.25/5.29 | % 20.25/5.29 | From (337) and (274) follows: % 20.25/5.29 | (2412) op(e1, e1) = all_0_66_66 % 20.25/5.29 | % 20.25/5.29 | From (335) and (235) follows: % 20.25/5.29 | (5037) op(e3, e1) = all_0_9_9 % 20.25/5.29 | % 20.25/5.29 | From (337) and (16) follows: % 20.25/5.29 | (5038) op(e3, e1) = all_0_19_19 % 20.25/5.29 | % 20.25/5.29 | From (335) and (150) follows: % 20.25/5.29 | (5039) op(e2, e1) = all_0_25_25 % 20.25/5.29 | % 20.25/5.29 | From (335) and (47) follows: % 20.25/5.29 | (2414) op(e2, e2) = e1 % 20.25/5.29 | % 20.25/5.29 | From (335) and (140) follows: % 20.25/5.29 | (2418) op(e0, e1) = all_0_57_57 % 20.25/5.29 | % 20.25/5.29 | From (337) and (272) follows: % 20.25/5.29 | (2419) op(e0, e1) = all_0_67_67 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (169), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (509) ~ (all_0_71_71 = e2) % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (148), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (514) ~ (all_0_73_73 = e1) % 20.25/5.29 | % 20.25/5.29 | Equations (335) can reduce 514 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (335) all_0_73_73 = e1 % 20.25/5.29 | (398) ~ (all_0_81_81 = e3) % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (48), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (529) all_0_71_71 = e3 % 20.25/5.29 | % 20.25/5.29 | Equations (529) can reduce 613 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (613) ~ (all_0_71_71 = e3) % 20.25/5.29 | (614) all_0_71_71 = e2 | all_0_71_71 = e1 | all_0_71_71 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (614), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (615) all_0_71_71 = e2 % 20.25/5.29 | % 20.25/5.29 | Equations (615) can reduce 509 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (509) ~ (all_0_71_71 = e2) % 20.25/5.29 | (618) all_0_71_71 = e1 | all_0_71_71 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (618), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (619) all_0_71_71 = e1 % 20.25/5.29 | % 20.25/5.29 | Equations (619) can reduce 294 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (294) ~ (all_0_71_71 = e1) % 20.25/5.29 | (622) all_0_71_71 = e0 % 20.25/5.29 | % 20.25/5.29 | Equations (622) can reduce 153 to: % 20.25/5.29 | (298) ~ (all_0_69_69 = e0) % 20.25/5.29 | % 20.25/5.29 | Equations (622) can reduce 251 to: % 20.25/5.29 | (2020) ~ (all_0_75_75 = e0) % 20.25/5.29 | % 20.25/5.29 | Simplifying 2020 yields: % 20.25/5.29 | (999) ~ (all_0_75_75 = e0) % 20.25/5.29 | % 20.25/5.29 | From (622) and (245) follows: % 20.25/5.29 | (5063) op(e0, e3) = all_0_16_16 % 20.25/5.29 | % 20.25/5.29 | From (622) and (201) follows: % 20.25/5.29 | (4191) op(e0, e0) = all_0_19_19 % 20.25/5.29 | % 20.25/5.29 | From (622) and (69) follows: % 20.25/5.29 | (4193) op(e2, e0) = all_0_23_23 % 20.25/5.29 | % 20.25/5.29 | From (622) and (172) follows: % 20.25/5.29 | (4654) op(e1, e0) = all_0_39_39 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (253), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (883) all_0_75_75 = e3 % 20.25/5.29 | % 20.25/5.29 | Equations (883) can reduce 877 to: % 20.25/5.29 | (326) $false % 20.25/5.29 | % 20.25/5.29 |-The branch is then unsatisfiable % 20.25/5.29 |-Branch two: % 20.25/5.29 | (877) ~ (all_0_75_75 = e3) % 20.25/5.29 | (886) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0 % 20.25/5.29 | % 20.25/5.29 +-Applying beta-rule and splitting (886), into two cases. % 20.25/5.29 |-Branch one: % 20.25/5.29 | (887) all_0_75_75 = e2 % 20.25/5.29 | % 20.25/5.29 | Equations (887) can reduce 88 to: % 20.25/5.29 | (428) ~ (all_0_72_72 = e2) % 20.25/5.29 | % 20.25/5.29 | Equations (887) can reduce 173 to: % 20.25/5.29 | (1378) ~ (all_0_74_74 = e2) % 20.25/5.29 | % 20.25/5.29 | From (887) and (231) follows: % 20.25/5.29 | (2521) op(e2, e3) = all_0_32_32 % 20.25/5.30 | % 20.25/5.30 | From (887) and (120) follows: % 20.25/5.30 | (4150) op(e2, e1) = all_0_34_34 % 20.25/5.30 | % 20.25/5.30 | From (887) and (266) follows: % 20.25/5.30 | (5076) op(e2, e0) = all_0_35_35 % 20.25/5.30 | % 20.25/5.30 | From (887) and (36) follows: % 20.25/5.30 | (5077) op(e1, e2) = all_0_43_43 % 20.25/5.30 | % 20.25/5.30 | From (887) and (54) follows: % 20.25/5.30 | (5078) op(e0, e2) = all_0_59_59 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (86), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (392) all_0_72_72 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (392) can reduce 166 to: % 20.25/5.30 | (5080) ~ (all_0_74_74 = e3) % 20.25/5.30 | % 20.25/5.30 | Simplifying 5080 yields: % 20.25/5.30 | (738) ~ (all_0_74_74 = e3) % 20.25/5.30 | % 20.25/5.30 | Equations (392) can reduce 267 to: % 20.25/5.30 | (5082) ~ (all_0_76_76 = e3) % 20.25/5.30 | % 20.25/5.30 | Simplifying 5082 yields: % 20.25/5.30 | (453) ~ (all_0_76_76 = e3) % 20.25/5.30 | % 20.25/5.30 | Equations (392) can reduce 171 to: % 20.25/5.30 | (382) ~ (all_0_80_80 = e3) % 20.25/5.30 | % 20.25/5.30 | Simplifying 382 yields: % 20.25/5.30 | (383) ~ (all_0_80_80 = e3) % 20.25/5.30 | % 20.25/5.30 | From (392) and (21) follows: % 20.25/5.30 | (2991) op(e2, e3) = all_0_24_24 % 20.25/5.30 | % 20.25/5.30 | From (392) and (263) follows: % 20.25/5.30 | (4771) op(e1, e3) = all_0_40_40 % 20.25/5.30 | % 20.25/5.30 | From (392) and (252) follows: % 20.25/5.30 | (4772) op(e0, e3) = all_0_56_56 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (282), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (870) all_0_74_74 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (870) can reduce 738 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (738) ~ (all_0_74_74 = e3) % 20.25/5.30 | (875) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (875), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (1356) all_0_74_74 = e2 % 20.25/5.30 | % 20.25/5.30 | Equations (1356) can reduce 1378 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (1378) ~ (all_0_74_74 = e2) % 20.25/5.30 | (1379) all_0_74_74 = e1 | all_0_74_74 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (1379), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (1380) all_0_74_74 = e1 % 20.25/5.30 | % 20.25/5.30 | Equations (1380) can reduce 1315 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (1315) ~ (all_0_74_74 = e1) % 20.25/5.30 | (1383) all_0_74_74 = e0 % 20.25/5.30 | % 20.25/5.30 | Equations (1383) can reduce 60 to: % 20.25/5.30 | (1187) ~ (all_0_70_70 = e0) % 20.25/5.30 | % 20.25/5.30 | From (1383) and (108) follows: % 20.25/5.30 | (5102) op(e0, e3) = all_0_28_28 % 20.25/5.30 | % 20.25/5.30 | From (1383) and (63) follows: % 20.25/5.30 | (3971) op(e0, e2) = all_0_29_29 % 20.25/5.30 | % 20.25/5.30 | From (1383) and (137) follows: % 20.25/5.30 | (5104) op(e3, e0) = all_0_10_10 % 20.25/5.30 | % 20.25/5.30 | From (1383) and (10) follows: % 20.25/5.30 | (5105) op(e2, e0) = all_0_26_26 % 20.25/5.30 | % 20.25/5.30 | From (1383) and (269) follows: % 20.25/5.30 | (3974) op(e1, e0) = all_0_42_42 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (238), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (406) all_0_80_80 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (406) can reduce 383 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (383) ~ (all_0_80_80 = e3) % 20.25/5.30 | (409) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (409), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (414) all_0_80_80 = e2 % 20.25/5.30 | % 20.25/5.30 | Equations (414) can reduce 405 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (405) ~ (all_0_80_80 = e2) % 20.25/5.30 | (417) all_0_80_80 = e1 | all_0_80_80 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (417), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (420) all_0_80_80 = e1 % 20.25/5.30 | % 20.25/5.30 | Equations (420) can reduce 419 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (419) ~ (all_0_80_80 = e1) % 20.25/5.30 | (423) all_0_80_80 = e0 % 20.25/5.30 | % 20.25/5.30 | Equations (423) can reduce 258 to: % 20.25/5.30 | (349) ~ (all_0_76_76 = e0) % 20.25/5.30 | % 20.25/5.30 | Equations (423) can reduce 95 to: % 20.25/5.30 | (1367) ~ (all_0_82_82 = e0) % 20.25/5.30 | % 20.25/5.30 | Simplifying 1367 yields: % 20.25/5.30 | (1368) ~ (all_0_82_82 = e0) % 20.25/5.30 | % 20.25/5.30 | From (423) and (81) follows: % 20.25/5.30 | (3753) op(e0, e3) = all_0_52_52 % 20.25/5.30 | % 20.25/5.30 | From (423) and (84) follows: % 20.25/5.30 | (4282) op(e3, e0) = all_0_16_16 % 20.25/5.30 | % 20.25/5.30 | From (423) and (82) follows: % 20.25/5.30 | (5124) op(e0, e0) = all_0_64_64 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (139), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (399) all_0_81_81 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (399) can reduce 398 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (398) ~ (all_0_81_81 = e3) % 20.25/5.30 | (402) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (402), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (410) all_0_81_81 = e2 % 20.25/5.30 | % 20.25/5.30 | Equations (410) can reduce 227 to: % 20.25/5.30 | (1357) ~ (all_0_82_82 = e2) % 20.25/5.30 | % 20.25/5.30 | Simplifying 1357 yields: % 20.25/5.30 | (1358) ~ (all_0_82_82 = e2) % 20.25/5.30 | % 20.25/5.30 | From (410) and (116) follows: % 20.25/5.30 | (5132) op(e2, e1) = all_0_58_58 % 20.25/5.30 | % 20.25/5.30 | From (410) and (18) follows: % 20.25/5.30 | (5133) op(e2, e0) = all_0_59_59 % 20.25/5.30 | % 20.25/5.30 | From (410) and (177) follows: % 20.25/5.30 | (5134) op(e2, e2) = all_0_33_33 % 20.25/5.30 | % 20.25/5.30 | From (410) and (142) follows: % 20.25/5.30 | (5135) op(e0, e2) = all_0_65_65 % 20.25/5.30 | % 20.25/5.30 | From (410) and (126) follows: % 20.25/5.30 | (5136) op(e0, e2) = e2 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (123), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (1140) all_0_82_82 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (1140) can reduce 265 to: % 20.25/5.30 | (1258) ~ (all_0_70_70 = e3) % 20.25/5.30 | % 20.25/5.30 | From (1140) and (200) follows: % 20.25/5.30 | (5139) op(e3, e2) = all_0_61_61 % 20.25/5.30 | % 20.25/5.30 | From (1140) and (4) follows: % 20.25/5.30 | (4755) op(e2, e3) = all_0_34_34 % 20.25/5.30 | % 20.25/5.30 | From (1140) and (232) follows: % 20.25/5.30 | (5141) op(e0, e3) = all_0_66_66 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (35), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (1188) all_0_70_70 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (1188) can reduce 1258 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (1258) ~ (all_0_70_70 = e3) % 20.25/5.30 | (1259) all_0_70_70 = e2 | all_0_70_70 = e1 | all_0_70_70 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (1259), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (1260) all_0_70_70 = e2 % 20.25/5.30 | % 20.25/5.30 | Equations (1260) can reduce 152 to: % 20.25/5.30 | (389) ~ (all_0_69_69 = e2) % 20.25/5.30 | % 20.25/5.30 | From (1260) and (210) follows: % 20.25/5.30 | (5148) op(e2, e2) = all_0_22_22 % 20.25/5.30 | % 20.25/5.30 | From (1260) and (102) follows: % 20.25/5.30 | (5149) op(e1, e2) = all_0_38_38 % 20.25/5.30 | % 20.25/5.30 | From (1260) and (184) follows: % 20.25/5.30 | (5150) op(e0, e2) = all_0_54_54 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (101), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (396) all_0_69_69 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (396) can reduce 225 to: % 20.25/5.30 | (380) ~ (all_0_77_77 = e3) % 20.25/5.30 | % 20.25/5.30 | Simplifying 380 yields: % 20.25/5.30 | (365) ~ (all_0_77_77 = e3) % 20.25/5.30 | % 20.25/5.30 | From (396) and (27) follows: % 20.25/5.30 | (2998) op(e3, e2) = all_0_9_9 % 20.25/5.30 | % 20.25/5.30 | From (396) and (94) follows: % 20.25/5.30 | (3464) op(e3, e1) = all_0_10_10 % 20.25/5.30 | % 20.25/5.30 | From (396) and (80) follows: % 20.25/5.30 | (4677) op(e2, e3) = all_0_21_21 % 20.25/5.30 | % 20.25/5.30 | From (396) and (249) follows: % 20.25/5.30 | (4679) op(e0, e3) = all_0_53_53 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (112), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (378) all_0_76_76 = e3 % 20.25/5.30 | % 20.25/5.30 | Equations (378) can reduce 453 to: % 20.25/5.30 | (326) $false % 20.25/5.30 | % 20.25/5.30 |-The branch is then unsatisfiable % 20.25/5.30 |-Branch two: % 20.25/5.30 | (453) ~ (all_0_76_76 = e3) % 20.25/5.30 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 20.25/5.30 | % 20.25/5.30 +-Applying beta-rule and splitting (454), into two cases. % 20.25/5.30 |-Branch one: % 20.25/5.30 | (455) all_0_76_76 = e2 % 20.25/5.30 | % 20.25/5.30 | Equations (455) can reduce 228 to: % 20.25/5.30 | (536) ~ (all_0_77_77 = e2) % 20.25/5.30 | % 20.25/5.30 | Simplifying 536 yields: % 20.25/5.30 | (446) ~ (all_0_77_77 = e2) % 20.25/5.30 | % 20.25/5.30 | From (455) and (191) follows: % 20.25/5.30 | (5165) op(e2, e1) = all_0_38_38 % 20.25/5.30 | % 20.25/5.30 | From (455) and (206) follows: % 20.25/5.31 | (5166) op(e2, e0) = all_0_39_39 % 20.25/5.31 | % 20.25/5.31 | From (455) and (175) follows: % 20.25/5.31 | (5167) op(e2, e2) = all_0_28_28 % 20.25/5.31 | % 20.25/5.31 | From (455) and (183) follows: % 20.25/5.31 | (5168) op(e0, e2) = all_0_60_60 % 20.25/5.31 | % 20.25/5.31 +-Applying beta-rule and splitting (237), into two cases. % 20.25/5.31 |-Branch one: % 20.25/5.31 | (384) all_0_77_77 = e3 % 20.25/5.31 | % 20.25/5.31 | Equations (384) can reduce 365 to: % 20.25/5.31 | (326) $false % 20.25/5.31 | % 20.25/5.31 |-The branch is then unsatisfiable % 20.25/5.31 |-Branch two: % 20.25/5.31 | (365) ~ (all_0_77_77 = e3) % 20.25/5.31 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 20.25/5.31 | % 20.25/5.31 +-Applying beta-rule and splitting (387), into two cases. % 20.25/5.31 |-Branch one: % 20.25/5.31 | (388) all_0_77_77 = e2 % 20.25/5.31 | % 20.25/5.31 | Equations (388) can reduce 446 to: % 20.25/5.31 | (326) $false % 20.25/5.31 | % 20.25/5.31 |-The branch is then unsatisfiable % 20.25/5.31 |-Branch two: % 20.25/5.31 | (446) ~ (all_0_77_77 = e2) % 20.25/5.31 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 20.25/5.31 | % 20.25/5.31 +-Applying beta-rule and splitting (447), into two cases. % 20.25/5.31 |-Branch one: % 20.25/5.31 | (448) all_0_77_77 = e1 % 20.25/5.31 | % 20.25/5.31 | Equations (448) can reduce 377 to: % 20.25/5.31 | (326) $false % 20.25/5.31 | % 20.25/5.31 |-The branch is then unsatisfiable % 20.25/5.31 |-Branch two: % 20.25/5.31 | (377) ~ (all_0_77_77 = e1) % 20.25/5.31 | (451) all_0_77_77 = e0 % 20.25/5.31 | % 20.25/5.31 | Equations (451) can reduce 377 to: % 20.25/5.31 | (1213) ~ (e1 = e0) % 20.25/5.31 | % 20.25/5.31 | Simplifying 1213 yields: % 20.25/5.31 | (71) ~ (e1 = e0) % 20.25/5.31 | % 20.25/5.31 | From (451) and (290) follows: % 20.25/5.31 | (4247) op(e0, e3) = all_0_40_40 % 20.25/5.31 | % 20.25/5.31 | From (451) and (73) follows: % 20.25/5.31 | (5184) op(e2, e0) = all_0_29_29 % 20.25/5.31 | % 20.25/5.31 | From (451) and (185) follows: % 20.25/5.31 | (4253) op(e1, e0) = all_0_45_45 % 20.25/5.31 | % 20.25/5.31 | From (451) and (113) follows: % 20.25/5.31 | (5186) op(e1, e2) = e0 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e3, e2, all_0_61_61, all_0_9_9 and discharging atoms op(e3, e2) = all_0_9_9, op(e3, e2) = all_0_61_61, yields: % 20.25/5.31 | (5187) all_0_9_9 = all_0_61_61 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e3, e1, all_0_10_10, all_0_9_9 and discharging atoms op(e3, e1) = all_0_9_9, op(e3, e1) = all_0_10_10, yields: % 20.25/5.31 | (5188) all_0_9_9 = all_0_10_10 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e3, e1, all_0_19_19, all_0_9_9 and discharging atoms op(e3, e1) = all_0_9_9, op(e3, e1) = all_0_19_19, yields: % 20.25/5.31 | (3018) all_0_9_9 = all_0_19_19 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e3, e0, all_0_16_16, all_0_10_10 and discharging atoms op(e3, e0) = all_0_10_10, op(e3, e0) = all_0_16_16, yields: % 20.25/5.31 | (3544) all_0_10_10 = all_0_16_16 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e3, all_0_24_24, all_0_21_21 and discharging atoms op(e2, e3) = all_0_21_21, op(e2, e3) = all_0_24_24, yields: % 20.25/5.31 | (5191) all_0_21_21 = all_0_24_24 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e3, all_0_32_32, all_0_24_24 and discharging atoms op(e2, e3) = all_0_24_24, op(e2, e3) = all_0_32_32, yields: % 20.25/5.31 | (5192) all_0_24_24 = all_0_32_32 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e3, all_0_34_34, all_0_21_21 and discharging atoms op(e2, e3) = all_0_21_21, op(e2, e3) = all_0_34_34, yields: % 20.25/5.31 | (4296) all_0_21_21 = all_0_34_34 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e2, all_0_28_28, all_0_22_22 and discharging atoms op(e2, e2) = all_0_22_22, op(e2, e2) = all_0_28_28, yields: % 20.25/5.31 | (5194) all_0_22_22 = all_0_28_28 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e2, all_0_33_33, all_0_28_28 and discharging atoms op(e2, e2) = all_0_28_28, op(e2, e2) = all_0_33_33, yields: % 20.25/5.31 | (5195) all_0_28_28 = all_0_33_33 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e2, e1, all_0_22_22 and discharging atoms op(e2, e2) = all_0_22_22, op(e2, e2) = e1, yields: % 20.25/5.31 | (5196) all_0_22_22 = e1 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e1, all_0_34_34, all_0_25_25 and discharging atoms op(e2, e1) = all_0_25_25, op(e2, e1) = all_0_34_34, yields: % 20.25/5.31 | (5197) all_0_25_25 = all_0_34_34 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e1, all_0_58_58, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = all_0_58_58, yields: % 20.25/5.31 | (3504) all_0_38_38 = all_0_58_58 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e0, all_0_26_26, all_0_23_23 and discharging atoms op(e2, e0) = all_0_23_23, op(e2, e0) = all_0_26_26, yields: % 20.25/5.31 | (5199) all_0_23_23 = all_0_26_26 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e0, all_0_29_29, all_0_23_23 and discharging atoms op(e2, e0) = all_0_23_23, op(e2, e0) = all_0_29_29, yields: % 20.25/5.31 | (4783) all_0_23_23 = all_0_29_29 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e0, all_0_35_35, all_0_23_23 and discharging atoms op(e2, e0) = all_0_23_23, op(e2, e0) = all_0_35_35, yields: % 20.25/5.31 | (5201) all_0_23_23 = all_0_35_35 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e0, all_0_39_39, all_0_23_23 and discharging atoms op(e2, e0) = all_0_23_23, op(e2, e0) = all_0_39_39, yields: % 20.25/5.31 | (5202) all_0_23_23 = all_0_39_39 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e2, e0, all_0_59_59, all_0_26_26 and discharging atoms op(e2, e0) = all_0_26_26, op(e2, e0) = all_0_59_59, yields: % 20.25/5.31 | (5203) all_0_26_26 = all_0_59_59 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e3, all_0_40_40, all_0_24_24 and discharging atoms op(e1, e3) = all_0_24_24, op(e1, e3) = all_0_40_40, yields: % 20.25/5.31 | (5204) all_0_24_24 = all_0_40_40 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e3, all_0_64_64, all_0_24_24 and discharging atoms op(e1, e3) = all_0_24_24, op(e1, e3) = all_0_64_64, yields: % 20.25/5.31 | (3040) all_0_24_24 = all_0_64_64 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e2, all_0_25_25, all_0_5_5 and discharging atoms op(e1, e2) = all_0_5_5, op(e1, e2) = all_0_25_25, yields: % 20.25/5.31 | (3763) all_0_5_5 = all_0_25_25 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e2, all_0_38_38, all_0_5_5 and discharging atoms op(e1, e2) = all_0_5_5, op(e1, e2) = all_0_38_38, yields: % 20.25/5.31 | (4292) all_0_5_5 = all_0_38_38 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e2, all_0_65_65, all_0_43_43 and discharging atoms op(e1, e2) = all_0_43_43, op(e1, e2) = all_0_65_65, yields: % 20.25/5.31 | (5208) all_0_43_43 = all_0_65_65 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e2, e0, all_0_43_43 and discharging atoms op(e1, e2) = all_0_43_43, op(e1, e2) = e0, yields: % 20.25/5.31 | (2017) all_0_43_43 = e0 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e1, all_0_66_66, all_0_26_26 and discharging atoms op(e1, e1) = all_0_26_26, op(e1, e1) = all_0_66_66, yields: % 20.25/5.31 | (3044) all_0_26_26 = all_0_66_66 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e0, all_0_27_27, all_0_7_7 and discharging atoms op(e1, e0) = all_0_7_7, op(e1, e0) = all_0_27_27, yields: % 20.25/5.31 | (3029) all_0_7_7 = all_0_27_27 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e0, all_0_39_39, e3 and discharging atoms op(e1, e0) = all_0_39_39, op(e1, e0) = e3, yields: % 20.25/5.31 | (5212) all_0_39_39 = e3 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e0, all_0_39_39, all_0_7_7 and discharging atoms op(e1, e0) = all_0_7_7, op(e1, e0) = all_0_39_39, yields: % 20.25/5.31 | (5213) all_0_7_7 = all_0_39_39 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e0, all_0_42_42, all_0_7_7 and discharging atoms op(e1, e0) = all_0_7_7, op(e1, e0) = all_0_42_42, yields: % 20.25/5.31 | (5214) all_0_7_7 = all_0_42_42 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e1, e0, all_0_45_45, all_0_39_39 and discharging atoms op(e1, e0) = all_0_39_39, op(e1, e0) = all_0_45_45, yields: % 20.25/5.31 | (5215) all_0_39_39 = all_0_45_45 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e3, all_0_52_52, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = all_0_52_52, yields: % 20.25/5.31 | (5216) all_0_16_16 = all_0_52_52 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e3, all_0_53_53, all_0_40_40 and discharging atoms op(e0, e3) = all_0_40_40, op(e0, e3) = all_0_53_53, yields: % 20.25/5.31 | (5217) all_0_40_40 = all_0_53_53 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e3, all_0_56_56, all_0_28_28 and discharging atoms op(e0, e3) = all_0_28_28, op(e0, e3) = all_0_56_56, yields: % 20.25/5.31 | (5218) all_0_28_28 = all_0_56_56 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e3, all_0_56_56, all_0_53_53 and discharging atoms op(e0, e3) = all_0_53_53, op(e0, e3) = all_0_56_56, yields: % 20.25/5.31 | (4372) all_0_53_53 = all_0_56_56 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e3, all_0_66_66, all_0_52_52 and discharging atoms op(e0, e3) = all_0_52_52, op(e0, e3) = all_0_66_66, yields: % 20.25/5.31 | (5220) all_0_52_52 = all_0_66_66 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e2, all_0_54_54, all_0_29_29 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = all_0_54_54, yields: % 20.25/5.31 | (5221) all_0_29_29 = all_0_54_54 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e2, all_0_60_60, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = all_0_60_60, yields: % 20.25/5.31 | (3594) all_0_59_59 = all_0_60_60 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e2, all_0_65_65, all_0_60_60 and discharging atoms op(e0, e2) = all_0_60_60, op(e0, e2) = all_0_65_65, yields: % 20.25/5.31 | (3522) all_0_60_60 = all_0_65_65 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e2, e2, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = e2, yields: % 20.25/5.31 | (5224) all_0_59_59 = e2 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e1, all_0_57_57, all_0_52_52 and discharging atoms op(e0, e1) = all_0_52_52, op(e0, e1) = all_0_57_57, yields: % 20.25/5.31 | (2564) all_0_52_52 = all_0_57_57 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e1, all_0_67_67, all_0_57_57 and discharging atoms op(e0, e1) = all_0_57_57, op(e0, e1) = all_0_67_67, yields: % 20.25/5.31 | (2555) all_0_57_57 = all_0_67_67 % 20.25/5.31 | % 20.25/5.31 | Instantiating formula (218) with e0, e0, all_0_64_64, all_0_19_19 and discharging atoms op(e0, e0) = all_0_19_19, op(e0, e0) = all_0_64_64, yields: % 20.25/5.31 | (3051) all_0_19_19 = all_0_64_64 % 20.25/5.31 | % 20.25/5.31 | Combining equations (3763,4292) yields a new equation: % 20.25/5.31 | (5228) all_0_25_25 = all_0_38_38 % 20.25/5.31 | % 20.25/5.31 | Simplifying 5228 yields: % 20.25/5.31 | (5229) all_0_25_25 = all_0_38_38 % 20.25/5.31 | % 20.25/5.31 | Combining equations (5213,3029) yields a new equation: % 20.25/5.31 | (5230) all_0_27_27 = all_0_39_39 % 20.25/5.31 | % 20.25/5.32 | Combining equations (5214,3029) yields a new equation: % 20.25/5.32 | (5231) all_0_27_27 = all_0_42_42 % 20.25/5.32 | % 20.25/5.32 | Combining equations (3018,5188) yields a new equation: % 20.25/5.32 | (5232) all_0_10_10 = all_0_19_19 % 20.25/5.32 | % 20.25/5.32 | Combining equations (5187,5188) yields a new equation: % 20.25/5.32 | (5233) all_0_10_10 = all_0_61_61 % 20.25/5.32 | % 20.25/5.32 | Combining equations (5232,3544) yields a new equation: % 20.25/5.32 | (4336) all_0_16_16 = all_0_19_19 % 20.25/5.32 | % 20.25/5.32 | Combining equations (5233,3544) yields a new equation: % 20.25/5.32 | (5235) all_0_16_16 = all_0_61_61 % 20.25/5.32 | % 20.25/5.32 | Combining equations (5216,5235) yields a new equation: % 20.25/5.32 | (5236) all_0_52_52 = all_0_61_61 % 20.25/5.32 | % 20.25/5.32 | Simplifying 5236 yields: % 20.25/5.32 | (5237) all_0_52_52 = all_0_61_61 % 20.25/5.32 | % 20.25/5.32 | Combining equations (4336,5235) yields a new equation: % 20.25/5.32 | (5238) all_0_19_19 = all_0_61_61 % 20.25/5.32 | % 20.25/5.32 | Simplifying 5238 yields: % 20.25/5.32 | (5239) all_0_19_19 = all_0_61_61 % 20.25/5.32 | % 20.25/5.32 | Combining equations (5239,3051) yields a new equation: % 20.25/5.32 | (5240) all_0_61_61 = all_0_64_64 % 20.25/5.32 | % 20.25/5.32 | Simplifying 5240 yields: % 20.42/5.32 | (3528) all_0_61_61 = all_0_64_64 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5191,4296) yields a new equation: % 20.42/5.32 | (5242) all_0_24_24 = all_0_34_34 % 20.42/5.32 | % 20.42/5.32 | Simplifying 5242 yields: % 20.42/5.32 | (5243) all_0_24_24 = all_0_34_34 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5194,5196) yields a new equation: % 20.42/5.32 | (5244) all_0_28_28 = e1 % 20.42/5.32 | % 20.42/5.32 | Simplifying 5244 yields: % 20.42/5.32 | (5245) all_0_28_28 = e1 % 20.42/5.32 | % 20.42/5.32 | Combining equations (4783,5201) yields a new equation: % 20.42/5.32 | (5246) all_0_29_29 = all_0_35_35 % 20.42/5.32 | % 20.42/5.32 | Simplifying 5246 yields: % 20.42/5.32 | (5247) all_0_29_29 = all_0_35_35 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5199,5201) yields a new equation: % 20.42/5.32 | (5248) all_0_26_26 = all_0_35_35 % 20.42/5.32 | % 20.42/5.32 | Simplifying 5248 yields: % 20.42/5.32 | (5249) all_0_26_26 = all_0_35_35 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5202,5201) yields a new equation: % 20.42/5.32 | (5250) all_0_35_35 = all_0_39_39 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5204,5192) yields a new equation: % 20.42/5.32 | (4838) all_0_32_32 = all_0_40_40 % 20.42/5.32 | % 20.42/5.32 | Combining equations (3040,5192) yields a new equation: % 20.42/5.32 | (5252) all_0_32_32 = all_0_64_64 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5243,5192) yields a new equation: % 20.42/5.32 | (5253) all_0_32_32 = all_0_34_34 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5229,5197) yields a new equation: % 20.42/5.32 | (3503) all_0_34_34 = all_0_38_38 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5203,3044) yields a new equation: % 20.42/5.32 | (5255) all_0_59_59 = all_0_66_66 % 20.42/5.32 | % 20.42/5.32 | Simplifying 5255 yields: % 20.42/5.32 | (3596) all_0_59_59 = all_0_66_66 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5249,3044) yields a new equation: % 20.42/5.32 | (5257) all_0_35_35 = all_0_66_66 % 20.42/5.32 | % 20.42/5.32 | Simplifying 5257 yields: % 20.42/5.32 | (5258) all_0_35_35 = all_0_66_66 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5230,5231) yields a new equation: % 20.42/5.32 | (4867) all_0_39_39 = all_0_42_42 % 20.42/5.32 | % 20.42/5.32 | Simplifying 4867 yields: % 20.42/5.32 | (4868) all_0_39_39 = all_0_42_42 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5218,5195) yields a new equation: % 20.42/5.32 | (5261) all_0_33_33 = all_0_56_56 % 20.42/5.32 | % 20.42/5.32 | Combining equations (5245,5195) yields a new equation: % 20.42/5.32 | (5262) all_0_33_33 = e1 % 20.42/5.32 | % 20.42/5.33 | Combining equations (5247,5221) yields a new equation: % 20.42/5.33 | (5263) all_0_35_35 = all_0_54_54 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5263 yields: % 20.42/5.33 | (5264) all_0_35_35 = all_0_54_54 % 20.42/5.33 | % 20.42/5.33 | Combining equations (4838,5253) yields a new equation: % 20.42/5.33 | (5265) all_0_34_34 = all_0_40_40 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5252,5253) yields a new equation: % 20.42/5.33 | (5266) all_0_34_34 = all_0_64_64 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5261,5262) yields a new equation: % 20.42/5.33 | (5267) all_0_56_56 = e1 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5267 yields: % 20.42/5.33 | (5268) all_0_56_56 = e1 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5266,5265) yields a new equation: % 20.42/5.33 | (5269) all_0_40_40 = all_0_64_64 % 20.42/5.33 | % 20.42/5.33 | Combining equations (3503,5265) yields a new equation: % 20.42/5.33 | (5270) all_0_38_38 = all_0_40_40 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5270 yields: % 20.42/5.33 | (5271) all_0_38_38 = all_0_40_40 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5250,5264) yields a new equation: % 20.42/5.33 | (5272) all_0_39_39 = all_0_54_54 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5272 yields: % 20.42/5.33 | (5273) all_0_39_39 = all_0_54_54 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5258,5264) yields a new equation: % 20.42/5.33 | (5274) all_0_54_54 = all_0_66_66 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5271,3504) yields a new equation: % 20.42/5.33 | (5275) all_0_40_40 = all_0_58_58 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5275 yields: % 20.42/5.33 | (5276) all_0_40_40 = all_0_58_58 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5212,4868) yields a new equation: % 20.42/5.33 | (5277) all_0_42_42 = e3 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5273,4868) yields a new equation: % 20.42/5.33 | (5278) all_0_42_42 = all_0_54_54 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5215,4868) yields a new equation: % 20.42/5.33 | (4866) all_0_42_42 = all_0_45_45 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5217,5276) yields a new equation: % 20.42/5.33 | (5280) all_0_53_53 = all_0_58_58 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5280 yields: % 20.42/5.33 | (5281) all_0_53_53 = all_0_58_58 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5269,5276) yields a new equation: % 20.42/5.33 | (2563) all_0_58_58 = all_0_64_64 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5277,4866) yields a new equation: % 20.42/5.33 | (5283) all_0_45_45 = e3 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5278,4866) yields a new equation: % 20.42/5.33 | (3513) all_0_45_45 = all_0_54_54 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5208,2017) yields a new equation: % 20.42/5.33 | (5285) all_0_65_65 = e0 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5285 yields: % 20.42/5.33 | (1884) all_0_65_65 = e0 % 20.42/5.33 | % 20.42/5.33 | Combining equations (3513,5283) yields a new equation: % 20.42/5.33 | (5287) all_0_54_54 = e3 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5287 yields: % 20.42/5.33 | (5288) all_0_54_54 = e3 % 20.42/5.33 | % 20.42/5.33 | Combining equations (5220,5237) yields a new equation: % 20.42/5.33 | (5289) all_0_61_61 = all_0_66_66 % 20.42/5.33 | % 20.42/5.33 | Combining equations (2564,5237) yields a new equation: % 20.42/5.33 | (5290) all_0_57_57 = all_0_61_61 % 20.42/5.33 | % 20.42/5.33 | Simplifying 5290 yields: % 20.42/5.34 | (5291) all_0_57_57 = all_0_61_61 % 20.42/5.34 | % 20.42/5.34 | Combining equations (4372,5281) yields a new equation: % 20.42/5.34 | (5292) all_0_56_56 = all_0_58_58 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5292 yields: % 20.42/5.34 | (5293) all_0_56_56 = all_0_58_58 % 20.42/5.34 | % 20.42/5.34 | Combining equations (5274,5288) yields a new equation: % 20.42/5.34 | (2587) all_0_66_66 = e3 % 20.42/5.34 | % 20.42/5.34 | Simplifying 2587 yields: % 20.42/5.34 | (2588) all_0_66_66 = e3 % 20.42/5.34 | % 20.42/5.34 | Combining equations (5293,5268) yields a new equation: % 20.42/5.34 | (1871) all_0_58_58 = e1 % 20.42/5.34 | % 20.42/5.34 | Simplifying 1871 yields: % 20.42/5.34 | (1872) all_0_58_58 = e1 % 20.42/5.34 | % 20.42/5.34 | Combining equations (5291,2555) yields a new equation: % 20.42/5.34 | (5298) all_0_61_61 = all_0_67_67 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5298 yields: % 20.42/5.34 | (5299) all_0_61_61 = all_0_67_67 % 20.42/5.34 | % 20.42/5.34 | Combining equations (2563,1872) yields a new equation: % 20.42/5.34 | (5300) all_0_64_64 = e1 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5300 yields: % 20.42/5.34 | (5301) all_0_64_64 = e1 % 20.42/5.34 | % 20.42/5.34 | Combining equations (3596,5224) yields a new equation: % 20.42/5.34 | (3560) all_0_66_66 = e2 % 20.42/5.34 | % 20.42/5.34 | Simplifying 3560 yields: % 20.42/5.34 | (3561) all_0_66_66 = e2 % 20.42/5.34 | % 20.42/5.34 | Combining equations (3594,5224) yields a new equation: % 20.42/5.34 | (5304) all_0_60_60 = e2 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5304 yields: % 20.42/5.34 | (4387) all_0_60_60 = e2 % 20.42/5.34 | % 20.42/5.34 | Combining equations (3522,4387) yields a new equation: % 20.42/5.34 | (5306) all_0_65_65 = e2 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5306 yields: % 20.42/5.34 | (5307) all_0_65_65 = e2 % 20.42/5.34 | % 20.42/5.34 | Combining equations (5289,5299) yields a new equation: % 20.42/5.34 | (5308) all_0_66_66 = all_0_67_67 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5308 yields: % 20.42/5.34 | (5309) all_0_66_66 = all_0_67_67 % 20.42/5.34 | % 20.42/5.34 | Combining equations (3528,5299) yields a new equation: % 20.42/5.34 | (5310) all_0_64_64 = all_0_67_67 % 20.42/5.34 | % 20.42/5.34 | Simplifying 5310 yields: % 20.42/5.34 | (5311) all_0_64_64 = all_0_67_67 % 20.42/5.34 | % 20.42/5.34 | Combining equations (5311,5301) yields a new equation: % 20.42/5.34 | (2591) all_0_67_67 = e1 % 20.42/5.34 | % 20.42/5.34 | Simplifying 2591 yields: % 20.42/5.34 | (2592) all_0_67_67 = e1 % 20.42/5.34 | % 20.42/5.34 | Combining equations (1884,5307) yields a new equation: % 20.42/5.34 | (1227) e2 = e0 % 20.42/5.34 | % 20.42/5.34 | Combining equations (5309,2588) yields a new equation: % 20.42/5.34 | (2583) all_0_67_67 = e3 % 20.42/5.34 | % 20.42/5.34 | Simplifying 2583 yields: % 20.42/5.34 | (2584) all_0_67_67 = e3 % 20.42/5.34 | % 20.42/5.34 | Combining equations (3561,2588) yields a new equation: % 20.42/5.34 | (1223) e3 = e2 % 20.42/5.34 | % 20.42/5.34 | Combining equations (2584,2592) yields a new equation: % 20.42/5.34 | (485) e3 = e1 % 20.42/5.34 | % 20.42/5.34 | Simplifying 485 yields: % 20.42/5.34 | (486) e3 = e1 % 20.42/5.34 | % 20.42/5.34 | Combining equations (1223,486) yields a new equation: % 20.42/5.34 | (493) e2 = e1 % 20.42/5.34 | % 20.42/5.34 | Simplifying 493 yields: % 20.42/5.34 | (494) e2 = e1 % 20.42/5.34 | % 20.42/5.34 | Combining equations (1227,494) yields a new equation: % 20.42/5.34 | (632) e1 = e0 % 20.42/5.34 | % 20.42/5.34 | Equations (632) can reduce 71 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (357) ~ (all_0_76_76 = e2) % 20.42/5.34 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (458), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (459) all_0_76_76 = e1 % 20.42/5.34 | % 20.42/5.34 | Equations (459) can reduce 376 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (376) ~ (all_0_76_76 = e1) % 20.42/5.34 | (462) all_0_76_76 = e0 % 20.42/5.34 | % 20.42/5.34 | Equations (462) can reduce 349 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (435) ~ (all_0_69_69 = e3) % 20.42/5.34 | (436) all_0_69_69 = e2 | all_0_69_69 = e1 | all_0_69_69 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (436), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (437) all_0_69_69 = e2 % 20.42/5.34 | % 20.42/5.34 | Equations (437) can reduce 389 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (389) ~ (all_0_69_69 = e2) % 20.42/5.34 | (440) all_0_69_69 = e1 | all_0_69_69 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (440), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (441) all_0_69_69 = e1 % 20.42/5.34 | % 20.42/5.34 | Equations (441) can reduce 366 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (366) ~ (all_0_69_69 = e1) % 20.42/5.34 | (444) all_0_69_69 = e0 % 20.42/5.34 | % 20.42/5.34 | Equations (444) can reduce 298 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (296) ~ (all_0_70_70 = e2) % 20.42/5.34 | (1263) all_0_70_70 = e1 | all_0_70_70 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (1263), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (1264) all_0_70_70 = e1 % 20.42/5.34 | % 20.42/5.34 | Equations (1264) can reduce 1171 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (1171) ~ (all_0_70_70 = e1) % 20.42/5.34 | (1267) all_0_70_70 = e0 % 20.42/5.34 | % 20.42/5.34 | Equations (1267) can reduce 1187 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (1143) ~ (all_0_82_82 = e3) % 20.42/5.34 | (1144) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (1144), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (1369) all_0_82_82 = e2 % 20.42/5.34 | % 20.42/5.34 | Equations (1369) can reduce 1358 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (1358) ~ (all_0_82_82 = e2) % 20.42/5.34 | (1372) all_0_82_82 = e1 | all_0_82_82 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (1372), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (1373) all_0_82_82 = e1 % 20.42/5.34 | % 20.42/5.34 | Equations (1373) can reduce 1320 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (1320) ~ (all_0_82_82 = e1) % 20.42/5.34 | (1376) all_0_82_82 = e0 % 20.42/5.34 | % 20.42/5.34 | Equations (1376) can reduce 1368 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (391) ~ (all_0_81_81 = e2) % 20.42/5.34 | (413) all_0_81_81 = e1 | all_0_81_81 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (112), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (378) all_0_76_76 = e3 % 20.42/5.34 | % 20.42/5.34 | Equations (378) can reduce 453 to: % 20.42/5.34 | (326) $false % 20.42/5.34 | % 20.42/5.34 |-The branch is then unsatisfiable % 20.42/5.34 |-Branch two: % 20.42/5.34 | (453) ~ (all_0_76_76 = e3) % 20.42/5.34 | (454) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0 % 20.42/5.34 | % 20.42/5.34 +-Applying beta-rule and splitting (454), into two cases. % 20.42/5.34 |-Branch one: % 20.42/5.34 | (455) all_0_76_76 = e2 % 20.42/5.34 | % 20.42/5.34 | Equations (455) can reduce 228 to: % 20.42/5.34 | (536) ~ (all_0_77_77 = e2) % 20.42/5.35 | % 20.42/5.35 | Simplifying 536 yields: % 20.42/5.35 | (446) ~ (all_0_77_77 = e2) % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (237), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (384) all_0_77_77 = e3 % 20.42/5.35 | % 20.42/5.35 | Equations (384) can reduce 365 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (365) ~ (all_0_77_77 = e3) % 20.42/5.35 | (387) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0 % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (387), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (388) all_0_77_77 = e2 % 20.42/5.35 | % 20.42/5.35 | Equations (388) can reduce 446 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (446) ~ (all_0_77_77 = e2) % 20.42/5.35 | (447) all_0_77_77 = e1 | all_0_77_77 = e0 % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (447), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (448) all_0_77_77 = e1 % 20.42/5.35 | % 20.42/5.35 | Equations (448) can reduce 377 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (377) ~ (all_0_77_77 = e1) % 20.42/5.35 | (451) all_0_77_77 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (451) can reduce 11 to: % 20.42/5.35 | (4245) ~ (all_0_81_81 = e0) % 20.42/5.35 | % 20.42/5.35 | Simplifying 4245 yields: % 20.42/5.35 | (353) ~ (all_0_81_81 = e0) % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (413), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (418) all_0_81_81 = e1 % 20.42/5.35 | % 20.42/5.35 | Equations (418) can reduce 425 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (425) ~ (all_0_81_81 = e1) % 20.42/5.35 | (426) all_0_81_81 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (426) can reduce 353 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (357) ~ (all_0_76_76 = e2) % 20.42/5.35 | (458) all_0_76_76 = e1 | all_0_76_76 = e0 % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (458), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (459) all_0_76_76 = e1 % 20.42/5.35 | % 20.42/5.35 | Equations (459) can reduce 376 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (376) ~ (all_0_76_76 = e1) % 20.42/5.35 | (462) all_0_76_76 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (462) can reduce 349 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (379) ~ (all_0_72_72 = e3) % 20.42/5.35 | (395) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0 % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (395), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (403) all_0_72_72 = e2 % 20.42/5.35 | % 20.42/5.35 | Equations (403) can reduce 428 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (428) ~ (all_0_72_72 = e2) % 20.42/5.35 | (429) all_0_72_72 = e1 | all_0_72_72 = e0 % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (429), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (430) all_0_72_72 = e1 % 20.42/5.35 | % 20.42/5.35 | Equations (430) can reduce 361 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (361) ~ (all_0_72_72 = e1) % 20.42/5.35 | (433) all_0_72_72 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (433) can reduce 348 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (881) ~ (all_0_75_75 = e2) % 20.42/5.35 | (890) all_0_75_75 = e1 | all_0_75_75 = e0 % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (890), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (895) all_0_75_75 = e1 % 20.42/5.35 | % 20.42/5.35 | Equations (895) can reduce 859 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (859) ~ (all_0_75_75 = e1) % 20.42/5.35 | (898) all_0_75_75 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (898) can reduce 999 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (615) all_0_71_71 = e2 % 20.42/5.35 | (625) ~ (all_0_83_83 = e1) % 20.42/5.35 | % 20.42/5.35 | Equations (337) can reduce 625 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 20.42/5.35 | % 20.42/5.35 | Applying alpha-rule on (340) yields: % 20.42/5.35 | (341) all_0_68_68 = e0 % 20.42/5.35 | (342) all_0_73_73 = e0 % 20.42/5.35 | (343) all_0_78_78 = e0 % 20.42/5.35 | (344) all_0_83_83 = e0 % 20.42/5.35 | % 20.42/5.35 | Combining equations (341,334) yields a new equation: % 20.42/5.35 | (632) e1 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (632) can reduce 71 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (328) all_0_68_68 = e2 % 20.42/5.35 | (349) ~ (all_0_76_76 = e0) % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (97), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (1251) ~ (all_0_68_68 = e2) % 20.42/5.35 | % 20.42/5.35 | Equations (328) can reduce 1251 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (328) all_0_68_68 = e2 % 20.42/5.35 | (419) ~ (all_0_80_80 = e1) % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (270), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (319) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) | (all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1) % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (319), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (320) (all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3) | (all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2) % 20.42/5.35 | % 20.42/5.35 +-Applying beta-rule and splitting (320), into two cases. % 20.42/5.35 |-Branch one: % 20.42/5.35 | (321) all_0_68_68 = e3 & all_0_73_73 = e3 & all_0_78_78 = e3 & all_0_83_83 = e3 % 20.42/5.35 | % 20.42/5.35 | Applying alpha-rule on (321) yields: % 20.42/5.35 | (322) all_0_68_68 = e3 % 20.42/5.35 | (323) all_0_73_73 = e3 % 20.42/5.35 | (324) all_0_78_78 = e3 % 20.42/5.35 | (325) all_0_83_83 = e3 % 20.42/5.35 | % 20.42/5.35 | Combining equations (322,328) yields a new equation: % 20.42/5.35 | (1222) e3 = e2 % 20.42/5.35 | % 20.42/5.35 | Simplifying 1222 yields: % 20.42/5.35 | (1223) e3 = e2 % 20.42/5.35 | % 20.42/5.35 | Equations (1223) can reduce 129 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (327) all_0_68_68 = e2 & all_0_73_73 = e2 & all_0_78_78 = e2 & all_0_83_83 = e2 % 20.42/5.35 | % 20.42/5.35 | Applying alpha-rule on (327) yields: % 20.42/5.35 | (328) all_0_68_68 = e2 % 20.42/5.35 | (329) all_0_73_73 = e2 % 20.42/5.35 | (330) all_0_78_78 = e2 % 20.42/5.35 | (331) all_0_83_83 = e2 % 20.42/5.35 | % 20.42/5.35 | Equations (331) can reduce 1552 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (333) all_0_68_68 = e1 & all_0_73_73 = e1 & all_0_78_78 = e1 & all_0_83_83 = e1 % 20.42/5.35 | % 20.42/5.35 | Applying alpha-rule on (333) yields: % 20.42/5.35 | (334) all_0_68_68 = e1 % 20.42/5.35 | (335) all_0_73_73 = e1 % 20.42/5.35 | (336) all_0_78_78 = e1 % 20.42/5.35 | (337) all_0_83_83 = e1 % 20.42/5.35 | % 20.42/5.35 | Combining equations (334,328) yields a new equation: % 20.42/5.35 | (494) e2 = e1 % 20.42/5.35 | % 20.42/5.35 | Equations (494) can reduce 15 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 |-Branch two: % 20.42/5.35 | (340) all_0_68_68 = e0 & all_0_73_73 = e0 & all_0_78_78 = e0 & all_0_83_83 = e0 % 20.42/5.35 | % 20.42/5.35 | Applying alpha-rule on (340) yields: % 20.42/5.35 | (341) all_0_68_68 = e0 % 20.42/5.35 | (342) all_0_73_73 = e0 % 20.42/5.35 | (343) all_0_78_78 = e0 % 20.42/5.35 | (344) all_0_83_83 = e0 % 20.42/5.35 | % 20.42/5.35 | Combining equations (341,328) yields a new equation: % 20.42/5.35 | (1227) e2 = e0 % 20.42/5.35 | % 20.42/5.35 | Equations (1227) can reduce 262 to: % 20.42/5.35 | (326) $false % 20.42/5.35 | % 20.42/5.35 |-The branch is then unsatisfiable % 20.42/5.35 % SZS output end Proof for theBenchmark % 20.42/5.35 % 20.42/5.35 4767ms %------------------------------------------------------------------------------